add and update samples for CUDA 11.6

This commit is contained in:
Rutwik Choughule
2022-01-13 11:35:24 +05:30
parent 11de19f00c
commit 2e41896e1b
4615 changed files with 178150 additions and 181350 deletions

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"problemMatcher": ["$nvcc"],
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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
/*
* This sample evaluates fair call and put prices for a
* given set of European options by Black-Scholes formula.
* See supplied whitepaper for more explanations.
*/
#include <helper_functions.h> // helper functions for string parsing
#include <helper_cuda.h> // helper functions CUDA error checking and initialization
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options on CPU
////////////////////////////////////////////////////////////////////////////////
extern "C" void BlackScholesCPU(float *h_CallResult, float *h_PutResult,
float *h_StockPrice, float *h_OptionStrike,
float *h_OptionYears, float Riskfree,
float Volatility, int optN);
////////////////////////////////////////////////////////////////////////////////
// Process an array of OptN options on GPU
////////////////////////////////////////////////////////////////////////////////
#include "BlackScholes_kernel.cuh"
////////////////////////////////////////////////////////////////////////////////
// Helper function, returning uniformly distributed
// random float in [low, high] range
////////////////////////////////////////////////////////////////////////////////
float RandFloat(float low, float high) {
float t = (float)rand() / (float)RAND_MAX;
return (1.0f - t) * low + t * high;
}
////////////////////////////////////////////////////////////////////////////////
// Data configuration
////////////////////////////////////////////////////////////////////////////////
const int OPT_N = 4000000;
const int NUM_ITERATIONS = 512;
const int OPT_SZ = OPT_N * sizeof(float);
const float RISKFREE = 0.02f;
const float VOLATILITY = 0.30f;
#define DIV_UP(a, b) (((a) + (b)-1) / (b))
////////////////////////////////////////////////////////////////////////////////
// Main program
////////////////////////////////////////////////////////////////////////////////
int main(int argc, char **argv) {
// Start logs
printf("[%s] - Starting...\n", argv[0]);
//'h_' prefix - CPU (host) memory space
float
// Results calculated by CPU for reference
*h_CallResultCPU,
*h_PutResultCPU,
// CPU copy of GPU results
*h_CallResultGPU, *h_PutResultGPU,
// CPU instance of input data
*h_StockPrice, *h_OptionStrike, *h_OptionYears;
//'d_' prefix - GPU (device) memory space
float
// Results calculated by GPU
*d_CallResult,
*d_PutResult,
// GPU instance of input data
*d_StockPrice, *d_OptionStrike, *d_OptionYears;
double delta, ref, sum_delta, sum_ref, max_delta, L1norm, gpuTime;
StopWatchInterface *hTimer = NULL;
int i;
findCudaDevice(argc, (const char **)argv);
sdkCreateTimer(&hTimer);
printf("Initializing data...\n");
printf("...allocating CPU memory for options.\n");
h_CallResultCPU = (float *)malloc(OPT_SZ);
h_PutResultCPU = (float *)malloc(OPT_SZ);
h_CallResultGPU = (float *)malloc(OPT_SZ);
h_PutResultGPU = (float *)malloc(OPT_SZ);
h_StockPrice = (float *)malloc(OPT_SZ);
h_OptionStrike = (float *)malloc(OPT_SZ);
h_OptionYears = (float *)malloc(OPT_SZ);
printf("...allocating GPU memory for options.\n");
checkCudaErrors(cudaMalloc((void **)&d_CallResult, OPT_SZ));
checkCudaErrors(cudaMalloc((void **)&d_PutResult, OPT_SZ));
checkCudaErrors(cudaMalloc((void **)&d_StockPrice, OPT_SZ));
checkCudaErrors(cudaMalloc((void **)&d_OptionStrike, OPT_SZ));
checkCudaErrors(cudaMalloc((void **)&d_OptionYears, OPT_SZ));
printf("...generating input data in CPU mem.\n");
srand(5347);
// Generate options set
for (i = 0; i < OPT_N; i++) {
h_CallResultCPU[i] = 0.0f;
h_PutResultCPU[i] = -1.0f;
h_StockPrice[i] = RandFloat(5.0f, 30.0f);
h_OptionStrike[i] = RandFloat(1.0f, 100.0f);
h_OptionYears[i] = RandFloat(0.25f, 10.0f);
}
printf("...copying input data to GPU mem.\n");
// Copy options data to GPU memory for further processing
checkCudaErrors(
cudaMemcpy(d_StockPrice, h_StockPrice, OPT_SZ, cudaMemcpyHostToDevice));
checkCudaErrors(cudaMemcpy(d_OptionStrike, h_OptionStrike, OPT_SZ,
cudaMemcpyHostToDevice));
checkCudaErrors(
cudaMemcpy(d_OptionYears, h_OptionYears, OPT_SZ, cudaMemcpyHostToDevice));
printf("Data init done.\n\n");
printf("Executing Black-Scholes GPU kernel (%i iterations)...\n",
NUM_ITERATIONS);
checkCudaErrors(cudaDeviceSynchronize());
sdkResetTimer(&hTimer);
sdkStartTimer(&hTimer);
for (i = 0; i < NUM_ITERATIONS; i++) {
BlackScholesGPU<<<DIV_UP((OPT_N / 2), 128), 128 /*480, 128*/>>>(
(float2 *)d_CallResult, (float2 *)d_PutResult, (float2 *)d_StockPrice,
(float2 *)d_OptionStrike, (float2 *)d_OptionYears, RISKFREE, VOLATILITY,
OPT_N);
getLastCudaError("BlackScholesGPU() execution failed\n");
}
checkCudaErrors(cudaDeviceSynchronize());
sdkStopTimer(&hTimer);
gpuTime = sdkGetTimerValue(&hTimer) / NUM_ITERATIONS;
// Both call and put is calculated
printf("Options count : %i \n", 2 * OPT_N);
printf("BlackScholesGPU() time : %f msec\n", gpuTime);
printf("Effective memory bandwidth: %f GB/s\n",
((double)(5 * OPT_N * sizeof(float)) * 1E-9) / (gpuTime * 1E-3));
printf("Gigaoptions per second : %f \n\n",
((double)(2 * OPT_N) * 1E-9) / (gpuTime * 1E-3));
printf(
"BlackScholes, Throughput = %.4f GOptions/s, Time = %.5f s, Size = %u "
"options, NumDevsUsed = %u, Workgroup = %u\n",
(((double)(2.0 * OPT_N) * 1.0E-9) / (gpuTime * 1.0E-3)), gpuTime * 1e-3,
(2 * OPT_N), 1, 128);
printf("\nReading back GPU results...\n");
// Read back GPU results to compare them to CPU results
checkCudaErrors(cudaMemcpy(h_CallResultGPU, d_CallResult, OPT_SZ,
cudaMemcpyDeviceToHost));
checkCudaErrors(
cudaMemcpy(h_PutResultGPU, d_PutResult, OPT_SZ, cudaMemcpyDeviceToHost));
printf("Checking the results...\n");
printf("...running CPU calculations.\n\n");
// Calculate options values on CPU
BlackScholesCPU(h_CallResultCPU, h_PutResultCPU, h_StockPrice, h_OptionStrike,
h_OptionYears, RISKFREE, VOLATILITY, OPT_N);
printf("Comparing the results...\n");
// Calculate max absolute difference and L1 distance
// between CPU and GPU results
sum_delta = 0;
sum_ref = 0;
max_delta = 0;
for (i = 0; i < OPT_N; i++) {
ref = h_CallResultCPU[i];
delta = fabs(h_CallResultCPU[i] - h_CallResultGPU[i]);
if (delta > max_delta) {
max_delta = delta;
}
sum_delta += delta;
sum_ref += fabs(ref);
}
L1norm = sum_delta / sum_ref;
printf("L1 norm: %E\n", L1norm);
printf("Max absolute error: %E\n\n", max_delta);
printf("Shutting down...\n");
printf("...releasing GPU memory.\n");
checkCudaErrors(cudaFree(d_OptionYears));
checkCudaErrors(cudaFree(d_OptionStrike));
checkCudaErrors(cudaFree(d_StockPrice));
checkCudaErrors(cudaFree(d_PutResult));
checkCudaErrors(cudaFree(d_CallResult));
printf("...releasing CPU memory.\n");
free(h_OptionYears);
free(h_OptionStrike);
free(h_StockPrice);
free(h_PutResultGPU);
free(h_CallResultGPU);
free(h_PutResultCPU);
free(h_CallResultCPU);
sdkDeleteTimer(&hTimer);
printf("Shutdown done.\n");
printf("\n[BlackScholes] - Test Summary\n");
if (L1norm > 1e-6) {
printf("Test failed!\n");
exit(EXIT_FAILURE);
}
printf(
"\nNOTE: The CUDA Samples are not meant for performance measurements. "
"Results may vary when GPU Boost is enabled.\n\n");
printf("Test passed\n");
exit(EXIT_SUCCESS);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include <math.h>
////////////////////////////////////////////////////////////////////////////////
// Polynomial approximation of cumulative normal distribution function
////////////////////////////////////////////////////////////////////////////////
static double CND(double d) {
const double A1 = 0.31938153;
const double A2 = -0.356563782;
const double A3 = 1.781477937;
const double A4 = -1.821255978;
const double A5 = 1.330274429;
const double RSQRT2PI = 0.39894228040143267793994605993438;
double K = 1.0 / (1.0 + 0.2316419 * fabs(d));
double cnd = RSQRT2PI * exp(-0.5 * d * d) *
(K * (A1 + K * (A2 + K * (A3 + K * (A4 + K * A5)))));
if (d > 0) cnd = 1.0 - cnd;
return cnd;
}
////////////////////////////////////////////////////////////////////////////////
// Black-Scholes formula for both call and put
////////////////////////////////////////////////////////////////////////////////
static void BlackScholesBodyCPU(float &callResult, float &putResult,
float Sf, // Stock price
float Xf, // Option strike
float Tf, // Option years
float Rf, // Riskless rate
float Vf // Volatility rate
) {
double S = Sf, X = Xf, T = Tf, R = Rf, V = Vf;
double sqrtT = sqrt(T);
double d1 = (log(S / X) + (R + 0.5 * V * V) * T) / (V * sqrtT);
double d2 = d1 - V * sqrtT;
double CNDD1 = CND(d1);
double CNDD2 = CND(d2);
// Calculate Call and Put simultaneously
double expRT = exp(-R * T);
callResult = (float)(S * CNDD1 - X * expRT * CNDD2);
putResult = (float)(X * expRT * (1.0 - CNDD2) - S * (1.0 - CNDD1));
}
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options
////////////////////////////////////////////////////////////////////////////////
extern "C" void BlackScholesCPU(float *h_CallResult, float *h_PutResult,
float *h_StockPrice, float *h_OptionStrike,
float *h_OptionYears, float Riskfree,
float Volatility, int optN) {
for (int opt = 0; opt < optN; opt++)
BlackScholesBodyCPU(h_CallResult[opt], h_PutResult[opt], h_StockPrice[opt],
h_OptionStrike[opt], h_OptionYears[opt], Riskfree,
Volatility);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
////////////////////////////////////////////////////////////////////////////////
// Polynomial approximation of cumulative normal distribution function
////////////////////////////////////////////////////////////////////////////////
__device__ inline float cndGPU(float d) {
const float A1 = 0.31938153f;
const float A2 = -0.356563782f;
const float A3 = 1.781477937f;
const float A4 = -1.821255978f;
const float A5 = 1.330274429f;
const float RSQRT2PI = 0.39894228040143267793994605993438f;
float K = __fdividef(1.0f, (1.0f + 0.2316419f * fabsf(d)));
float cnd = RSQRT2PI * __expf(-0.5f * d * d) *
(K * (A1 + K * (A2 + K * (A3 + K * (A4 + K * A5)))));
if (d > 0) cnd = 1.0f - cnd;
return cnd;
}
////////////////////////////////////////////////////////////////////////////////
// Black-Scholes formula for both call and put
////////////////////////////////////////////////////////////////////////////////
__device__ inline void BlackScholesBodyGPU(float &CallResult, float &PutResult,
float S, // Stock price
float X, // Option strike
float T, // Option years
float R, // Riskless rate
float V // Volatility rate
) {
float sqrtT, expRT;
float d1, d2, CNDD1, CNDD2;
sqrtT = __fdividef(1.0F, rsqrtf(T));
d1 = __fdividef(__logf(S / X) + (R + 0.5f * V * V) * T, V * sqrtT);
d2 = d1 - V * sqrtT;
CNDD1 = cndGPU(d1);
CNDD2 = cndGPU(d2);
// Calculate Call and Put simultaneously
expRT = __expf(-R * T);
CallResult = S * CNDD1 - X * expRT * CNDD2;
PutResult = X * expRT * (1.0f - CNDD2) - S * (1.0f - CNDD1);
}
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options on GPU
////////////////////////////////////////////////////////////////////////////////
__launch_bounds__(128) __global__
void BlackScholesGPU(float2 *__restrict d_CallResult,
float2 *__restrict d_PutResult,
float2 *__restrict d_StockPrice,
float2 *__restrict d_OptionStrike,
float2 *__restrict d_OptionYears, float Riskfree,
float Volatility, int optN) {
////Thread index
// const int tid = blockDim.x * blockIdx.x + threadIdx.x;
////Total number of threads in execution grid
// const int THREAD_N = blockDim.x * gridDim.x;
const int opt = blockDim.x * blockIdx.x + threadIdx.x;
// Calculating 2 options per thread to increase ILP (instruction level
// parallelism)
if (opt < (optN / 2)) {
float callResult1, callResult2;
float putResult1, putResult2;
BlackScholesBodyGPU(callResult1, putResult1, d_StockPrice[opt].x,
d_OptionStrike[opt].x, d_OptionYears[opt].x, Riskfree,
Volatility);
BlackScholesBodyGPU(callResult2, putResult2, d_StockPrice[opt].y,
d_OptionStrike[opt].y, d_OptionYears[opt].y, Riskfree,
Volatility);
d_CallResult[opt] = make_float2(callResult1, callResult2);
d_PutResult[opt] = make_float2(putResult1, putResult2);
}
}

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<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
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<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
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<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>BlackScholes_vs2019</RootNamespace>
<ProjectName>BlackScholes</ProjectName>
<CudaToolkitCustomDir />
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<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v142</PlatformToolset>
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<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
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<WholeProgramOptimization>true</WholeProgramOptimization>
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
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<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cudart_static.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
<AdditionalLibraryDirectories>$(CudaToolkitLibDir);</AdditionalLibraryDirectories>
<OutputFile>$(OutDir)/BlackScholes.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration>compute_35,sm_35;compute_37,sm_37;compute_50,sm_50;compute_52,sm_52;compute_60,sm_60;compute_61,sm_61;compute_70,sm_70;compute_75,sm_75;compute_80,sm_80;compute_86,sm_86;</CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<CudaCompile Include="BlackScholes.cu" />
<ClCompile Include="BlackScholes_gold.cpp" />
<None Include="BlackScholes_kernel.cuh" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
</Project>

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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2022
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "BlackScholes", "BlackScholes_vs2022.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

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<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<PropertyGroup>
<CUDAPropsPath Condition="'$(CUDAPropsPath)'==''">$(VCTargetsPath)\BuildCustomizations</CUDAPropsPath>
</PropertyGroup>
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>BlackScholes_vs2022</RootNamespace>
<ProjectName>BlackScholes</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v143</PlatformToolset>
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cudart_static.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
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<OutputFile>$(OutDir)/BlackScholes.exe</OutputFile>
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<CudaCompile>
<CodeGeneration>compute_35,sm_35;compute_37,sm_37;compute_50,sm_50;compute_52,sm_52;compute_60,sm_60;compute_61,sm_61;compute_70,sm_70;compute_75,sm_75;compute_80,sm_80;compute_86,sm_86;</CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
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<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
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<CudaCompile Include="BlackScholes.cu" />
<ClCompile Include="BlackScholes_gold.cpp" />
<None Include="BlackScholes_kernel.cuh" />
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<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
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@@ -0,0 +1,343 @@
################################################################################
# Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of NVIDIA CORPORATION nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
################################################################################
#
# Makefile project only supported on Mac OS X and Linux Platforms)
#
################################################################################
# Location of the CUDA Toolkit
CUDA_PATH ?= /usr/local/cuda
##############################
# start deprecated interface #
##############################
ifeq ($(x86_64),1)
$(info WARNING - x86_64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=x86_64 instead)
TARGET_ARCH ?= x86_64
endif
ifeq ($(ARMv7),1)
$(info WARNING - ARMv7 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=armv7l instead)
TARGET_ARCH ?= armv7l
endif
ifeq ($(aarch64),1)
$(info WARNING - aarch64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=aarch64 instead)
TARGET_ARCH ?= aarch64
endif
ifeq ($(ppc64le),1)
$(info WARNING - ppc64le variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=ppc64le instead)
TARGET_ARCH ?= ppc64le
endif
ifneq ($(GCC),)
$(info WARNING - GCC variable has been deprecated)
$(info WARNING - please use HOST_COMPILER=$(GCC) instead)
HOST_COMPILER ?= $(GCC)
endif
ifneq ($(abi),)
$(error ERROR - abi variable has been removed)
endif
############################
# end deprecated interface #
############################
# architecture
HOST_ARCH := $(shell uname -m)
TARGET_ARCH ?= $(HOST_ARCH)
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le armv7l))
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le))
TARGET_SIZE := 64
else ifneq (,$(filter $(TARGET_ARCH),armv7l))
TARGET_SIZE := 32
endif
else
TARGET_SIZE := $(shell getconf LONG_BIT)
endif
else
$(error ERROR - unsupported value $(TARGET_ARCH) for TARGET_ARCH!)
endif
# sbsa and aarch64 systems look similar. Need to differentiate them at host level for now.
ifeq ($(HOST_ARCH),aarch64)
ifeq ($(CUDA_PATH)/targets/sbsa-linux,$(shell ls -1d $(CUDA_PATH)/targets/sbsa-linux 2>/dev/null))
HOST_ARCH := sbsa
TARGET_ARCH := sbsa
endif
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq (,$(filter $(HOST_ARCH)-$(TARGET_ARCH),aarch64-armv7l x86_64-armv7l x86_64-aarch64 x86_64-sbsa x86_64-ppc64le))
$(error ERROR - cross compiling from $(HOST_ARCH) to $(TARGET_ARCH) is not supported!)
endif
endif
# When on native aarch64 system with userspace of 32-bit, change TARGET_ARCH to armv7l
ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_SIZE),aarch64-aarch64-32)
TARGET_ARCH = armv7l
endif
# operating system
HOST_OS := $(shell uname -s 2>/dev/null | tr "[:upper:]" "[:lower:]")
TARGET_OS ?= $(HOST_OS)
ifeq (,$(filter $(TARGET_OS),linux darwin qnx android))
$(error ERROR - unsupported value $(TARGET_OS) for TARGET_OS!)
endif
# host compiler
ifeq ($(TARGET_OS),darwin)
ifeq ($(shell expr `xcodebuild -version | grep -i xcode | awk '{print $$2}' | cut -d'.' -f1` \>= 5),1)
HOST_COMPILER ?= clang++
endif
else ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(HOST_ARCH)-$(TARGET_ARCH),x86_64-armv7l)
ifeq ($(TARGET_OS),linux)
HOST_COMPILER ?= arm-linux-gnueabihf-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/arm-unknown-nto-qnx6.6.0eabi-g++
else ifeq ($(TARGET_OS),android)
HOST_COMPILER ?= arm-linux-androideabi-g++
endif
else ifeq ($(TARGET_ARCH),aarch64)
ifeq ($(TARGET_OS), linux)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/q++
else ifeq ($(TARGET_OS), android)
HOST_COMPILER ?= aarch64-linux-android-clang++
endif
else ifeq ($(TARGET_ARCH),sbsa)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_ARCH),ppc64le)
HOST_COMPILER ?= powerpc64le-linux-gnu-g++
endif
endif
HOST_COMPILER ?= g++
NVCC := $(CUDA_PATH)/bin/nvcc -ccbin $(HOST_COMPILER)
# internal flags
NVCCFLAGS := -m${TARGET_SIZE}
CCFLAGS :=
LDFLAGS :=
# build flags
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -rpath $(CUDA_PATH)/lib
CCFLAGS += -arch $(HOST_ARCH)
else ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_OS),x86_64-armv7l-linux)
LDFLAGS += --dynamic-linker=/lib/ld-linux-armhf.so.3
CCFLAGS += -mfloat-abi=hard
else ifeq ($(TARGET_OS),android)
LDFLAGS += -pie
CCFLAGS += -fpie -fpic -fexceptions
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/arm-linux-gnueabihf
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib -L$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/lib/aarch64-linux-gnu -L$(TARGET_FS)/lib/aarch64-linux-gnu
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib -L$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/aarch64-linux-gnu -L$(TARGET_FS)/usr/lib/aarch64-linux-gnu
LDFLAGS += --unresolved-symbols=ignore-in-shared-libs
CCFLAGS += -isystem=$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include/libdrm
CCFLAGS += -isystem=$(TARGET_FS)/usr/include/aarch64-linux-gnu -I$(TARGET_FS)/usr/include/aarch64-linux-gnu
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
NVCCFLAGS += -D_QNX_SOURCE
NVCCFLAGS += --qpp-config 8.3.0,gcc_ntoaarch64le
CCFLAGS += -DWIN_INTERFACE_CUSTOM -I/usr/include/aarch64-qnx-gnu
LDFLAGS += -lsocket
LDFLAGS += -L/usr/lib/aarch64-qnx-gnu
CCFLAGS += "-Wl\,-rpath-link\,/usr/lib/aarch64-qnx-gnu"
ifdef TARGET_OVERRIDE
LDFLAGS += -lslog2
endif
ifneq ($(TARGET_FS),)
LDFLAGS += -L$(TARGET_FS)/usr/lib
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/lib"
LDFLAGS += -L$(TARGET_FS)/usr/libnvidia
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/libnvidia"
CCFLAGS += -I$(TARGET_FS)/../include
endif
endif
endif
ifdef TARGET_OVERRIDE # cuda toolkit targets override
NVCCFLAGS += -target-dir $(TARGET_OVERRIDE)
endif
# Install directory of different arch
CUDA_INSTALL_TARGET_DIR :=
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-gnueabihf/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_INSTALL_TARGET_DIR = targets/sbsa-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_INSTALL_TARGET_DIR = targets/ARMv7-linux-QNX/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-qnx/
else ifeq ($(TARGET_ARCH),ppc64le)
CUDA_INSTALL_TARGET_DIR = targets/ppc64le-linux/
endif
# Debug build flags
ifeq ($(dbg),1)
NVCCFLAGS += -g -G
BUILD_TYPE := debug
else
BUILD_TYPE := release
endif
ALL_CCFLAGS :=
ALL_CCFLAGS += $(NVCCFLAGS)
ALL_CCFLAGS += $(EXTRA_NVCCFLAGS)
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(CCFLAGS))
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(EXTRA_CCFLAGS))
SAMPLE_ENABLED := 1
ALL_LDFLAGS :=
ALL_LDFLAGS += $(ALL_CCFLAGS)
ALL_LDFLAGS += $(addprefix -Xlinker ,$(LDFLAGS))
ALL_LDFLAGS += $(addprefix -Xlinker ,$(EXTRA_LDFLAGS))
# Common includes and paths for CUDA
INCLUDES := -I../../../Common
LIBRARIES :=
################################################################################
# Gencode arguments
ifeq ($(TARGET_ARCH),$(filter $(TARGET_ARCH),armv7l aarch64 sbsa))
SMS ?= 53 61 70 72 75 80 86 87
else
SMS ?= 35 37 50 52 60 61 70 75 80 86
endif
ifeq ($(SMS),)
$(info >>> WARNING - no SM architectures have been specified - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ifeq ($(GENCODE_FLAGS),)
# Generate SASS code for each SM architecture listed in $(SMS)
$(foreach sm,$(SMS),$(eval GENCODE_FLAGS += -gencode arch=compute_$(sm),code=sm_$(sm)))
# Generate PTX code from the highest SM architecture in $(SMS) to guarantee forward-compatibility
HIGHEST_SM := $(lastword $(sort $(SMS)))
ifneq ($(HIGHEST_SM),)
GENCODE_FLAGS += -gencode arch=compute_$(HIGHEST_SM),code=compute_$(HIGHEST_SM)
endif
endif
ALL_CCFLAGS += -maxrregcount=16 --threads 0 --std=c++11
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: BlackScholes
check.deps:
ifeq ($(SAMPLE_ENABLED),0)
@echo "Sample will be waived due to the above missing dependencies"
else
@echo "Sample is ready - all dependencies have been met"
endif
BlackScholes.o:BlackScholes.cu
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
BlackScholes_gold.o:BlackScholes_gold.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
BlackScholes: BlackScholes.o BlackScholes_gold.o
$(EXEC) $(NVCC) $(ALL_LDFLAGS) $(GENCODE_FLAGS) -o $@ $+ $(LIBRARIES)
$(EXEC) mkdir -p ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
$(EXEC) cp $@ ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
run: build
$(EXEC) ./BlackScholes
testrun: build
clean:
rm -f BlackScholes BlackScholes.o BlackScholes_gold.o
rm -rf ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/BlackScholes
clobber: clean

View File

@@ -0,0 +1,82 @@
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE entry SYSTEM "SamplesInfo.dtd">
<entry>
<name>BlackScholes</name>
<cflags>
<flag>-maxrregcount=16</flag>
</cflags>
<cuda_api_list>
<toolkit>cudaMalloc</toolkit>
<toolkit>cudaFree</toolkit>
<toolkit>cudaDeviceSynchronize</toolkit>
<toolkit>cudaMemcpy</toolkit>
</cuda_api_list>
<description><![CDATA[This sample evaluates fair call and put prices for a given set of European options by Black-Scholes formula.]]></description>
<devicecompilation>whole</devicecompilation>
<includepaths>
<path>./</path>
<path>../</path>
<path>../../../Common</path>
</includepaths>
<keyconcepts>
<concept level="basic">Computational Finance</concept>
</keyconcepts>
<keywords>
<keyword>CUDA</keyword>
<keyword>Computational Finance</keyword>
<keyword>option pricing</keyword>
<keyword>Black-Scholes</keyword>
</keywords>
<libraries>
</libraries>
<librarypaths>
</librarypaths>
<nsight_eclipse>true</nsight_eclipse>
<primary_file>BlackScholes.cu</primary_file>
<scopes>
<scope>1:CUDA Basic Topics</scope>
<scope>3:Computational Finance</scope>
</scopes>
<sm-arch>sm35</sm-arch>
<sm-arch>sm37</sm-arch>
<sm-arch>sm50</sm-arch>
<sm-arch>sm52</sm-arch>
<sm-arch>sm53</sm-arch>
<sm-arch>sm60</sm-arch>
<sm-arch>sm61</sm-arch>
<sm-arch>sm70</sm-arch>
<sm-arch>sm72</sm-arch>
<sm-arch>sm75</sm-arch>
<sm-arch>sm80</sm-arch>
<sm-arch>sm86</sm-arch>
<sm-arch>sm87</sm-arch>
<supported_envs>
<env>
<arch>x86_64</arch>
<platform>linux</platform>
</env>
<env>
<platform>windows7</platform>
</env>
<env>
<arch>x86_64</arch>
<platform>macosx</platform>
</env>
<env>
<arch>arm</arch>
</env>
<env>
<arch>sbsa</arch>
</env>
<env>
<arch>ppc64le</arch>
<platform>linux</platform>
</env>
</supported_envs>
<supported_sm_architectures>
<include>all</include>
</supported_sm_architectures>
<title>Black-Scholes Option Pricing</title>
<type>exe</type>
<whitepaper>doc\BlackScholes.pdf</whitepaper>
</entry>

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# BlackScholes - Black-Scholes Option Pricing
## Description
This sample evaluates fair call and put prices for a given set of European options by Black-Scholes formula.
## Key Concepts
Computational Finance
## Supported SM Architectures
[SM 3.5 ](https://developer.nvidia.com/cuda-gpus) [SM 3.7 ](https://developer.nvidia.com/cuda-gpus) [SM 5.0 ](https://developer.nvidia.com/cuda-gpus) [SM 5.2 ](https://developer.nvidia.com/cuda-gpus) [SM 5.3 ](https://developer.nvidia.com/cuda-gpus) [SM 6.0 ](https://developer.nvidia.com/cuda-gpus) [SM 6.1 ](https://developer.nvidia.com/cuda-gpus) [SM 7.0 ](https://developer.nvidia.com/cuda-gpus) [SM 7.2 ](https://developer.nvidia.com/cuda-gpus) [SM 7.5 ](https://developer.nvidia.com/cuda-gpus) [SM 8.0 ](https://developer.nvidia.com/cuda-gpus) [SM 8.6 ](https://developer.nvidia.com/cuda-gpus) [SM 8.7 ](https://developer.nvidia.com/cuda-gpus)
## Supported OSes
Linux, Windows
## Supported CPU Architecture
x86_64, ppc64le, armv7l
## CUDA APIs involved
### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
cudaMalloc, cudaFree, cudaDeviceSynchronize, cudaMemcpy
## Prerequisites
Download and install the [CUDA Toolkit 11.6](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
## Build and Run
### Windows
The Windows samples are built using the Visual Studio IDE. Solution files (.sln) are provided for each supported version of Visual Studio, using the format:
```
*_vs<version>.sln - for Visual Studio <version>
```
Each individual sample has its own set of solution files in its directory:
To build/examine all the samples at once, the complete solution files should be used. To build/examine a single sample, the individual sample solution files should be used.
> **Note:** Some samples require that the Microsoft DirectX SDK (June 2010 or newer) be installed and that the VC++ directory paths are properly set up (**Tools > Options...**). Check DirectX Dependencies section for details."
### Linux
The Linux samples are built using makefiles. To use the makefiles, change the current directory to the sample directory you wish to build, and run make:
```
$ cd <sample_dir>
$ make
```
The samples makefiles can take advantage of certain options:
* **TARGET_ARCH=<arch>** - cross-compile targeting a specific architecture. Allowed architectures are x86_64, ppc64le, armv7l.
By default, TARGET_ARCH is set to HOST_ARCH. On a x86_64 machine, not setting TARGET_ARCH is the equivalent of setting TARGET_ARCH=x86_64.<br/>
`$ make TARGET_ARCH=x86_64` <br/> `$ make TARGET_ARCH=ppc64le` <br/> `$ make TARGET_ARCH=armv7l` <br/>
See [here](http://docs.nvidia.com/cuda/cuda-samples/index.html#cross-samples) for more details.
* **dbg=1** - build with debug symbols
```
$ make dbg=1
```
* **SMS="A B ..."** - override the SM architectures for which the sample will be built, where `"A B ..."` is a space-delimited list of SM architectures. For example, to generate SASS for SM 50 and SM 60, use `SMS="50 60"`.
```
$ make SMS="50 60"
```
* **HOST_COMPILER=<host_compiler>** - override the default g++ host compiler. See the [Linux Installation Guide](http://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html#system-requirements) for a list of supported host compilers.
```
$ make HOST_COMPILER=g++
```
## References (for more details)
[whitepaper](./doc/BlackScholes.pdf)

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{
"configurations": [
{
"name": "Linux",
"includePath": [
"${workspaceFolder}/**",
"${workspaceFolder}/../../../Common"
],
"defines": [],
"compilerPath": "/usr/local/cuda/bin/nvcc",
"cStandard": "gnu17",
"cppStandard": "gnu++14",
"intelliSenseMode": "linux-gcc-x64",
"configurationProvider": "ms-vscode.makefile-tools"
}
],
"version": 4
}

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{
"recommendations": [
"nvidia.nsight-vscode-edition",
"ms-vscode.cpptools",
"ms-vscode.makefile-tools"
]
}

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{
"configurations": [
{
"name": "CUDA C++: Launch",
"type": "cuda-gdb",
"request": "launch",
"program": "${workspaceFolder}/BlackScholes_nvrtc"
}
]
}

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@@ -0,0 +1,15 @@
{
"version": "2.0.0",
"tasks": [
{
"label": "sample",
"type": "shell",
"command": "make dbg=1",
"problemMatcher": ["$nvcc"],
"group": {
"kind": "build",
"isDefault": true
}
}
]
}

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@@ -0,0 +1,269 @@
/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
/*
* This sample evaluates fair call and put prices for a
* given set of European options by Black-Scholes formula.
* See supplied whitepaper for more explanations.
*/
#include <cuda_runtime.h>
#include <nvrtc_helper.h>
#include <helper_functions.h> // helper functions for string parsing
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options on CPU
////////////////////////////////////////////////////////////////////////////////
extern "C" void BlackScholesCPU(float *h_CallResult, float *h_PutResult,
float *h_StockPrice, float *h_OptionStrike,
float *h_OptionYears, float Riskfree,
float Volatility, int optN);
////////////////////////////////////////////////////////////////////////////////
// Process an array of OptN options on GPU
////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////
// Helper function, returning uniformly distributed
// random float in [low, high] range
////////////////////////////////////////////////////////////////////////////////
float RandFloat(float low, float high) {
float t = (float)rand() / (float)RAND_MAX;
return (1.0f - t) * low + t * high;
}
////////////////////////////////////////////////////////////////////////////////
// Data configuration
////////////////////////////////////////////////////////////////////////////////
const int OPT_N = 4000000;
const int NUM_ITERATIONS = 512;
const int OPT_SZ = OPT_N * sizeof(float);
const float RISKFREE = 0.02f;
const float VOLATILITY = 0.30f;
#define DIV_UP(a, b) (((a) + (b)-1) / (b))
////////////////////////////////////////////////////////////////////////////////
// Main program
////////////////////////////////////////////////////////////////////////////////
int main(int argc, char **argv) {
// Start logs
printf("[%s] - Starting...\n", argv[0]);
//'h_' prefix - CPU (host) memory space
float
// Results calculated by CPU for reference
*h_CallResultCPU,
*h_PutResultCPU,
// CPU copy of GPU results
*h_CallResultGPU, *h_PutResultGPU,
// CPU instance of input data
*h_StockPrice, *h_OptionStrike, *h_OptionYears;
//'d_' prefix - GPU (device) memory space
CUdeviceptr
// Results calculated by GPU
d_CallResult,
d_PutResult,
// GPU instance of input data
d_StockPrice, d_OptionStrike, d_OptionYears;
double delta, ref, sum_delta, sum_ref, max_delta, L1norm, gpuTime;
StopWatchInterface *hTimer = NULL;
int i;
sdkCreateTimer(&hTimer);
printf("Initializing data...\n");
printf("...allocating CPU memory for options.\n");
h_CallResultCPU = (float *)malloc(OPT_SZ);
h_PutResultCPU = (float *)malloc(OPT_SZ);
h_CallResultGPU = (float *)malloc(OPT_SZ);
h_PutResultGPU = (float *)malloc(OPT_SZ);
h_StockPrice = (float *)malloc(OPT_SZ);
h_OptionStrike = (float *)malloc(OPT_SZ);
h_OptionYears = (float *)malloc(OPT_SZ);
char *cubin, *kernel_file;
size_t cubinSize;
kernel_file = sdkFindFilePath("BlackScholes_kernel.cuh", argv[0]);
// Compile the kernel BlackScholes_kernel.
compileFileToCUBIN(kernel_file, argc, argv, &cubin, &cubinSize, 0);
CUmodule module = loadCUBIN(cubin, argc, argv);
CUfunction kernel_addr;
checkCudaErrors(cuModuleGetFunction(&kernel_addr, module, "BlackScholesGPU"));
printf("...allocating GPU memory for options.\n");
checkCudaErrors(cuMemAlloc(&d_CallResult, OPT_SZ));
checkCudaErrors(cuMemAlloc(&d_PutResult, OPT_SZ));
checkCudaErrors(cuMemAlloc(&d_StockPrice, OPT_SZ));
checkCudaErrors(cuMemAlloc(&d_OptionStrike, OPT_SZ));
checkCudaErrors(cuMemAlloc(&d_OptionYears, OPT_SZ));
printf("...generating input data in CPU mem.\n");
srand(5347);
// Generate options set
for (i = 0; i < OPT_N; i++) {
h_CallResultCPU[i] = 0.0f;
h_PutResultCPU[i] = -1.0f;
h_StockPrice[i] = RandFloat(5.0f, 30.0f);
h_OptionStrike[i] = RandFloat(1.0f, 100.0f);
h_OptionYears[i] = RandFloat(0.25f, 10.0f);
}
printf("...copying input data to GPU mem.\n");
// Copy options data to GPU memory for further processing
checkCudaErrors(cuMemcpyHtoD(d_StockPrice, h_StockPrice, OPT_SZ));
checkCudaErrors(cuMemcpyHtoD(d_OptionStrike, h_OptionStrike, OPT_SZ));
checkCudaErrors(cuMemcpyHtoD(d_OptionYears, h_OptionYears, OPT_SZ));
printf("Data init done.\n\n");
printf("Executing Black-Scholes GPU kernel (%i iterations)...\n",
NUM_ITERATIONS);
sdkResetTimer(&hTimer);
sdkStartTimer(&hTimer);
dim3 cudaBlockSize(128, 1, 1);
dim3 cudaGridSize(DIV_UP(OPT_N / 2, 128), 1, 1);
float risk = RISKFREE;
float volatility = VOLATILITY;
int optval = OPT_N;
void *arr[] = {(void *)&d_CallResult, (void *)&d_PutResult,
(void *)&d_StockPrice, (void *)&d_OptionStrike,
(void *)&d_OptionYears, (void *)&risk,
(void *)&volatility, (void *)&optval};
for (i = 0; i < NUM_ITERATIONS; i++) {
checkCudaErrors(cuLaunchKernel(kernel_addr, cudaGridSize.x, cudaGridSize.y,
cudaGridSize.z, /* grid dim */
cudaBlockSize.x, cudaBlockSize.y,
cudaBlockSize.z, /* block dim */
0, 0, /* shared mem, stream */
&arr[0], /* arguments */
0));
}
checkCudaErrors(cuCtxSynchronize());
sdkStopTimer(&hTimer);
gpuTime = sdkGetTimerValue(&hTimer) / NUM_ITERATIONS;
// Both call and put is calculated
printf("Options count : %i \n", 2 * OPT_N);
printf("BlackScholesGPU() time : %f msec\n", gpuTime);
printf("Effective memory bandwidth: %f GB/s\n",
((double)(5 * OPT_N * sizeof(float)) * 1E-9) / (gpuTime * 1E-3));
printf("Gigaoptions per second : %f \n\n",
((double)(2 * OPT_N) * 1E-9) / (gpuTime * 1E-3));
printf(
"BlackScholes, Throughput = %.4f GOptions/s, Time = %.5f s, Size = %u "
"options, NumDevsUsed = %u, Workgroup = %u\n",
(((double)(2.0 * OPT_N) * 1.0E-9) / (gpuTime * 1.0E-3)), gpuTime * 1e-3,
(2 * OPT_N), 1, 128);
printf("\nReading back GPU results...\n");
// Read back GPU results to compare them to CPU results
checkCudaErrors(cuMemcpyDtoH(h_CallResultGPU, d_CallResult, OPT_SZ));
checkCudaErrors(cuMemcpyDtoH(h_PutResultGPU, d_PutResult, OPT_SZ));
printf("Checking the results...\n");
printf("...running CPU calculations.\n\n");
// Calculate options values on CPU
BlackScholesCPU(h_CallResultCPU, h_PutResultCPU, h_StockPrice, h_OptionStrike,
h_OptionYears, RISKFREE, VOLATILITY, OPT_N);
printf("Comparing the results...\n");
// Calculate max absolute difference and L1 distance
// between CPU and GPU results
sum_delta = 0;
sum_ref = 0;
max_delta = 0;
for (i = 0; i < OPT_N; i++) {
ref = h_CallResultCPU[i];
delta = fabs(h_CallResultCPU[i] - h_CallResultGPU[i]);
if (delta > max_delta) {
max_delta = delta;
}
sum_delta += delta;
sum_ref += fabs(ref);
}
L1norm = sum_delta / sum_ref;
printf("L1 norm: %E\n", L1norm);
printf("Max absolute error: %E\n\n", max_delta);
printf("Shutting down...\n");
printf("...releasing GPU memory.\n");
checkCudaErrors(cuMemFree(d_OptionYears));
checkCudaErrors(cuMemFree(d_OptionStrike));
checkCudaErrors(cuMemFree(d_StockPrice));
checkCudaErrors(cuMemFree(d_PutResult));
checkCudaErrors(cuMemFree(d_CallResult));
printf("...releasing CPU memory.\n");
free(h_OptionYears);
free(h_OptionStrike);
free(h_StockPrice);
free(h_PutResultGPU);
free(h_CallResultGPU);
free(h_PutResultCPU);
free(h_CallResultCPU);
sdkDeleteTimer(&hTimer);
printf("Shutdown done.\n");
printf("\n[%s] - Test Summary\n", argv[0]);
if (L1norm > 1e-6) {
printf("Test failed!\n");
exit(EXIT_FAILURE);
}
printf("Test passed\n");
exit(EXIT_SUCCESS);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include <math.h>
///////////////////////////////////////////////////////////////////////////////
// Polynomial approximation of cumulative normal distribution function
///////////////////////////////////////////////////////////////////////////////
static double CND(double d) {
const double A1 = 0.31938153;
const double A2 = -0.356563782;
const double A3 = 1.781477937;
const double A4 = -1.821255978;
const double A5 = 1.330274429;
const double RSQRT2PI = 0.39894228040143267793994605993438;
double K = 1.0 / (1.0 + 0.2316419 * fabs(d));
double cnd = RSQRT2PI * exp(-0.5 * d * d) *
(K * (A1 + K * (A2 + K * (A3 + K * (A4 + K * A5)))));
if (d > 0) cnd = 1.0 - cnd;
return cnd;
}
///////////////////////////////////////////////////////////////////////////////
// Black-Scholes formula for both call and put
///////////////////////////////////////////////////////////////////////////////
static void BlackScholesBodyCPU(float &callResult, float &putResult,
float Sf, // Stock price
float Xf, // Option strike
float Tf, // Option years
float Rf, // Riskless rate
float Vf // Volatility rate
) {
double S = Sf, X = Xf, T = Tf, R = Rf, V = Vf;
double sqrtT = sqrt(T);
double d1 = (log(S / X) + (R + 0.5 * V * V) * T) / (V * sqrtT);
double d2 = d1 - V * sqrtT;
double CNDD1 = CND(d1);
double CNDD2 = CND(d2);
// Calculate Call and Put simultaneously
double expRT = exp(-R * T);
callResult = (float)(S * CNDD1 - X * expRT * CNDD2);
putResult = (float)(X * expRT * (1.0 - CNDD2) - S * (1.0 - CNDD1));
}
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options
////////////////////////////////////////////////////////////////////////////////
extern "C" void BlackScholesCPU(float *h_CallResult, float *h_PutResult,
float *h_StockPrice, float *h_OptionStrike,
float *h_OptionYears, float Riskfree,
float Volatility, int optN) {
for (int opt = 0; opt < optN; opt++)
BlackScholesBodyCPU(h_CallResult[opt], h_PutResult[opt], h_StockPrice[opt],
h_OptionStrike[opt], h_OptionYears[opt], Riskfree,
Volatility);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
///////////////////////////////////////////////////////////////////////////////
// Polynomial approximation of cumulative normal distribution function
///////////////////////////////////////////////////////////////////////////////
__device__ inline float cndGPU(float d) {
const float A1 = 0.31938153f;
const float A2 = -0.356563782f;
const float A3 = 1.781477937f;
const float A4 = -1.821255978f;
const float A5 = 1.330274429f;
const float RSQRT2PI = 0.39894228040143267793994605993438f;
float K = __fdividef(1.0f, (1.0f + 0.2316419f * fabsf(d)));
float cnd = RSQRT2PI * __expf(-0.5f * d * d) *
(K * (A1 + K * (A2 + K * (A3 + K * (A4 + K * A5)))));
if (d > 0) cnd = 1.0f - cnd;
return cnd;
}
///////////////////////////////////////////////////////////////////////////////
// Black-Scholes formula for both call and put
///////////////////////////////////////////////////////////////////////////////
__device__ inline void BlackScholesBodyGPU(float &CallResult, float &PutResult,
float S, // Stock price
float X, // Option strike
float T, // Option years
float R, // Riskless rate
float V // Volatility rate
) {
float sqrtT, expRT;
float d1, d2, CNDD1, CNDD2;
sqrtT = __fdividef(1.0F, rsqrtf(T));
d1 = __fdividef(__logf(S / X) + (R + 0.5f * V * V) * T, V * sqrtT);
d2 = d1 - V * sqrtT;
CNDD1 = cndGPU(d1);
CNDD2 = cndGPU(d2);
// Calculate Call and Put simultaneously
expRT = __expf(-R * T);
CallResult = S * CNDD1 - X * expRT * CNDD2;
PutResult = X * expRT * (1.0f - CNDD2) - S * (1.0f - CNDD1);
}
////////////////////////////////////////////////////////////////////////////////
// Process an array of optN options on GPU
////////////////////////////////////////////////////////////////////////////////
extern "C" __launch_bounds__(128) __global__
void BlackScholesGPU(float2 *__restrict d_CallResult,
float2 *__restrict d_PutResult,
float2 *__restrict d_StockPrice,
float2 *__restrict d_OptionStrike,
float2 *__restrict d_OptionYears, float Riskfree,
float Volatility, int optN) {
////Thread index
const int opt = blockDim.x * blockIdx.x + threadIdx.x;
// Calculating 2 options per thread to increase ILP (instruction level
// parallelism)
if (opt < (optN / 2)) {
float callResult1, callResult2;
float putResult1, putResult2;
BlackScholesBodyGPU(callResult1, putResult1, d_StockPrice[opt].x,
d_OptionStrike[opt].x, d_OptionYears[opt].x, Riskfree,
Volatility);
BlackScholesBodyGPU(callResult2, putResult2, d_StockPrice[opt].y,
d_OptionStrike[opt].y, d_OptionYears[opt].y, Riskfree,
Volatility);
d_CallResult[opt] = make_float2(callResult1, callResult2);
d_PutResult[opt] = make_float2(putResult1, putResult2);
}
}

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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2017
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "BlackScholes_nvrtc", "BlackScholes_nvrtc_vs2017.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

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<PropertyGroup Label="Globals">
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<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;$(CudaToolkitIncludeDir);$(CUDA_PATH)/include;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cuda.lib;nvrtc.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
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<OutputFile>$(OutDir)/BlackScholes_nvrtc.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration></CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<ClCompile Include="BlackScholes.cpp" />
<ClCompile Include="BlackScholes_gold.cpp" />
<None Include="BlackScholes_kernel.cuh" />
</ItemGroup>
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<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2019
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "BlackScholes_nvrtc", "BlackScholes_nvrtc_vs2019.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
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Debug|x64 = Debug|x64
Release|x64 = Release|x64
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GlobalSection(ProjectConfigurationPlatforms) = postSolution
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{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
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HideSolutionNode = FALSE
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<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
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<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>BlackScholes_nvrtc_vs2019</RootNamespace>
<ProjectName>BlackScholes_nvrtc</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v142</PlatformToolset>
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
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<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
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<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
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<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
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<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
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<PropertyGroup Condition="'$(Platform)'=='x64'">
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<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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<Link>
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<CudaCompile>
<CodeGeneration></CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
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</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<ClCompile Include="BlackScholes.cpp" />
<ClCompile Include="BlackScholes_gold.cpp" />
<None Include="BlackScholes_kernel.cuh" />
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<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
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</Project>

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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2022
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "BlackScholes_nvrtc", "BlackScholes_nvrtc_vs2022.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
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GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

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<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>BlackScholes_nvrtc_vs2022</RootNamespace>
<ProjectName>BlackScholes_nvrtc</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v143</PlatformToolset>
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;$(CudaToolkitIncludeDir);$(CUDA_PATH)/include;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cuda.lib;nvrtc.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
<AdditionalLibraryDirectories>$(CudaToolkitLibDir);</AdditionalLibraryDirectories>
<OutputFile>$(OutDir)/BlackScholes_nvrtc.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration></CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<ClCompile Include="BlackScholes.cpp" />
<ClCompile Include="BlackScholes_gold.cpp" />
<None Include="BlackScholes_kernel.cuh" />
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</ImportGroup>
</Project>

View File

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################################################################################
# Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of NVIDIA CORPORATION nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
################################################################################
#
# Makefile project only supported on Mac OS X and Linux Platforms)
#
################################################################################
# Location of the CUDA Toolkit
CUDA_PATH ?= /usr/local/cuda
##############################
# start deprecated interface #
##############################
ifeq ($(x86_64),1)
$(info WARNING - x86_64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=x86_64 instead)
TARGET_ARCH ?= x86_64
endif
ifeq ($(ARMv7),1)
$(info WARNING - ARMv7 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=armv7l instead)
TARGET_ARCH ?= armv7l
endif
ifeq ($(aarch64),1)
$(info WARNING - aarch64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=aarch64 instead)
TARGET_ARCH ?= aarch64
endif
ifeq ($(ppc64le),1)
$(info WARNING - ppc64le variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=ppc64le instead)
TARGET_ARCH ?= ppc64le
endif
ifneq ($(GCC),)
$(info WARNING - GCC variable has been deprecated)
$(info WARNING - please use HOST_COMPILER=$(GCC) instead)
HOST_COMPILER ?= $(GCC)
endif
ifneq ($(abi),)
$(error ERROR - abi variable has been removed)
endif
############################
# end deprecated interface #
############################
# architecture
HOST_ARCH := $(shell uname -m)
TARGET_ARCH ?= $(HOST_ARCH)
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le armv7l))
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le))
TARGET_SIZE := 64
else ifneq (,$(filter $(TARGET_ARCH),armv7l))
TARGET_SIZE := 32
endif
else
TARGET_SIZE := $(shell getconf LONG_BIT)
endif
else
$(error ERROR - unsupported value $(TARGET_ARCH) for TARGET_ARCH!)
endif
# sbsa and aarch64 systems look similar. Need to differentiate them at host level for now.
ifeq ($(HOST_ARCH),aarch64)
ifeq ($(CUDA_PATH)/targets/sbsa-linux,$(shell ls -1d $(CUDA_PATH)/targets/sbsa-linux 2>/dev/null))
HOST_ARCH := sbsa
TARGET_ARCH := sbsa
endif
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq (,$(filter $(HOST_ARCH)-$(TARGET_ARCH),aarch64-armv7l x86_64-armv7l x86_64-aarch64 x86_64-sbsa x86_64-ppc64le))
$(error ERROR - cross compiling from $(HOST_ARCH) to $(TARGET_ARCH) is not supported!)
endif
endif
# When on native aarch64 system with userspace of 32-bit, change TARGET_ARCH to armv7l
ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_SIZE),aarch64-aarch64-32)
TARGET_ARCH = armv7l
endif
# operating system
HOST_OS := $(shell uname -s 2>/dev/null | tr "[:upper:]" "[:lower:]")
TARGET_OS ?= $(HOST_OS)
ifeq (,$(filter $(TARGET_OS),linux darwin qnx android))
$(error ERROR - unsupported value $(TARGET_OS) for TARGET_OS!)
endif
# host compiler
ifeq ($(TARGET_OS),darwin)
ifeq ($(shell expr `xcodebuild -version | grep -i xcode | awk '{print $$2}' | cut -d'.' -f1` \>= 5),1)
HOST_COMPILER ?= clang++
endif
else ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(HOST_ARCH)-$(TARGET_ARCH),x86_64-armv7l)
ifeq ($(TARGET_OS),linux)
HOST_COMPILER ?= arm-linux-gnueabihf-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/arm-unknown-nto-qnx6.6.0eabi-g++
else ifeq ($(TARGET_OS),android)
HOST_COMPILER ?= arm-linux-androideabi-g++
endif
else ifeq ($(TARGET_ARCH),aarch64)
ifeq ($(TARGET_OS), linux)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/q++
else ifeq ($(TARGET_OS), android)
HOST_COMPILER ?= aarch64-linux-android-clang++
endif
else ifeq ($(TARGET_ARCH),sbsa)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_ARCH),ppc64le)
HOST_COMPILER ?= powerpc64le-linux-gnu-g++
endif
endif
HOST_COMPILER ?= g++
NVCC := $(CUDA_PATH)/bin/nvcc -ccbin $(HOST_COMPILER)
# internal flags
NVCCFLAGS := -m${TARGET_SIZE}
CCFLAGS :=
LDFLAGS :=
# build flags
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -rpath $(CUDA_PATH)/lib
CCFLAGS += -arch $(HOST_ARCH)
else ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_OS),x86_64-armv7l-linux)
LDFLAGS += --dynamic-linker=/lib/ld-linux-armhf.so.3
CCFLAGS += -mfloat-abi=hard
else ifeq ($(TARGET_OS),android)
LDFLAGS += -pie
CCFLAGS += -fpie -fpic -fexceptions
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/arm-linux-gnueabihf
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib -L$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/lib/aarch64-linux-gnu -L$(TARGET_FS)/lib/aarch64-linux-gnu
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib -L$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/aarch64-linux-gnu -L$(TARGET_FS)/usr/lib/aarch64-linux-gnu
LDFLAGS += --unresolved-symbols=ignore-in-shared-libs
CCFLAGS += -isystem=$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include/libdrm
CCFLAGS += -isystem=$(TARGET_FS)/usr/include/aarch64-linux-gnu -I$(TARGET_FS)/usr/include/aarch64-linux-gnu
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
NVCCFLAGS += -D_QNX_SOURCE
NVCCFLAGS += --qpp-config 8.3.0,gcc_ntoaarch64le
CCFLAGS += -DWIN_INTERFACE_CUSTOM -I/usr/include/aarch64-qnx-gnu
LDFLAGS += -lsocket
LDFLAGS += -L/usr/lib/aarch64-qnx-gnu
CCFLAGS += "-Wl\,-rpath-link\,/usr/lib/aarch64-qnx-gnu"
ifdef TARGET_OVERRIDE
LDFLAGS += -lslog2
endif
ifneq ($(TARGET_FS),)
LDFLAGS += -L$(TARGET_FS)/usr/lib
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/lib"
LDFLAGS += -L$(TARGET_FS)/usr/libnvidia
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/libnvidia"
CCFLAGS += -I$(TARGET_FS)/../include
endif
endif
endif
ifdef TARGET_OVERRIDE # cuda toolkit targets override
NVCCFLAGS += -target-dir $(TARGET_OVERRIDE)
endif
# Install directory of different arch
CUDA_INSTALL_TARGET_DIR :=
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-gnueabihf/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_INSTALL_TARGET_DIR = targets/sbsa-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_INSTALL_TARGET_DIR = targets/ARMv7-linux-QNX/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-qnx/
else ifeq ($(TARGET_ARCH),ppc64le)
CUDA_INSTALL_TARGET_DIR = targets/ppc64le-linux/
endif
# Debug build flags
ifeq ($(dbg),1)
NVCCFLAGS += -g -G
BUILD_TYPE := debug
else
BUILD_TYPE := release
endif
ALL_CCFLAGS :=
ALL_CCFLAGS += $(NVCCFLAGS)
ALL_CCFLAGS += $(EXTRA_NVCCFLAGS)
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(CCFLAGS))
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(EXTRA_CCFLAGS))
UBUNTU = $(shell lsb_release -i -s 2>/dev/null | grep -i ubuntu)
SAMPLE_ENABLED := 1
# This sample is not supported on ARMv7
ifeq ($(TARGET_ARCH),armv7l)
$(info >>> WARNING - BlackScholes_nvrtc is not supported on ARMv7 - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ALL_LDFLAGS :=
ALL_LDFLAGS += $(ALL_CCFLAGS)
ALL_LDFLAGS += $(addprefix -Xlinker ,$(LDFLAGS))
ALL_LDFLAGS += $(addprefix -Xlinker ,$(EXTRA_LDFLAGS))
# Common includes and paths for CUDA
INCLUDES := -I../../../Common
LIBRARIES :=
################################################################################
# libNVRTC specific libraries
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -L$(CUDA_PATH)/lib -F/Library/Frameworks -framework CUDA
endif
ifeq ($(TARGET_OS),darwin)
ALL_LDFLAGS += -Xcompiler -F/Library/Frameworks -Xlinker -framework -Xlinker CUDA
else
ifeq ($(TARGET_ARCH),x86_64)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/lib64/stubs
CUDA_SEARCH_PATH += $(CUDA_PATH)/lib/stubs
CUDA_SEARCH_PATH += $(CUDA_PATH)/targets/x86_64-linux/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/armv7-linux-gnueabihf/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/aarch64-linux/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/sbsa-linux/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/armv7-linux-androideabi/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/aarch64-linux-androideabi/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/ARMv7-linux-QNX/lib/stubs
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/aarch64-qnx/lib/stubs
ifdef TARGET_OVERRIDE
CUDA_SEARCH_PATH := $(CUDA_PATH)/targets/$(TARGET_OVERRIDE)/lib/stubs
endif
endif
ifeq ($(TARGET_ARCH),ppc64le)
CUDA_SEARCH_PATH ?= $(CUDA_PATH)/targets/ppc64le-linux/lib/stubs
endif
ifeq ($(HOST_ARCH),ppc64le)
CUDA_SEARCH_PATH += $(CUDA_PATH)/lib64/stubs
endif
CUDALIB ?= $(shell find -L $(CUDA_SEARCH_PATH) -maxdepth 1 -name libcuda.so 2> /dev/null)
ifeq ("$(CUDALIB)","")
$(info >>> WARNING - libcuda.so not found, CUDA Driver is not installed. Please re-install the driver. <<<)
SAMPLE_ENABLED := 0
else
CUDALIB := $(shell echo $(CUDALIB) | sed "s/ .*//" | sed "s/\/libcuda.so//" )
LIBRARIES += -L$(CUDALIB) -lcuda
endif
endif
ALL_CCFLAGS += --threads 0 --std=c++11
INCLUDES += -I$(CUDA_PATH)/include
LIBRARIES += -lnvrtc
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: BlackScholes_nvrtc
check.deps:
ifeq ($(SAMPLE_ENABLED),0)
@echo "Sample will be waived due to the above missing dependencies"
else
@echo "Sample is ready - all dependencies have been met"
endif
BlackScholes.o:BlackScholes.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
BlackScholes_gold.o:BlackScholes_gold.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
BlackScholes_nvrtc: BlackScholes.o BlackScholes_gold.o
$(EXEC) $(NVCC) $(ALL_LDFLAGS) $(GENCODE_FLAGS) -o $@ $+ $(LIBRARIES)
$(EXEC) mkdir -p ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
$(EXEC) cp $@ ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
run: build
$(EXEC) ./BlackScholes_nvrtc
testrun: build
clean:
rm -f BlackScholes_nvrtc BlackScholes.o BlackScholes_gold.o
rm -rf ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/BlackScholes_nvrtc
clobber: clean

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# BlackScholes_nvrtc - Black-Scholes Option Pricing with libNVRTC
## Description
This sample evaluates fair call and put prices for a given set of European options by Black-Scholes formula, compiling the CUDA kernels involved at runtime using NVRTC.
## Key Concepts
Computational Finance, Runtime Compilation
## Supported SM Architectures
[SM 3.5 ](https://developer.nvidia.com/cuda-gpus) [SM 3.7 ](https://developer.nvidia.com/cuda-gpus) [SM 5.0 ](https://developer.nvidia.com/cuda-gpus) [SM 5.2 ](https://developer.nvidia.com/cuda-gpus) [SM 5.3 ](https://developer.nvidia.com/cuda-gpus) [SM 6.0 ](https://developer.nvidia.com/cuda-gpus) [SM 6.1 ](https://developer.nvidia.com/cuda-gpus) [SM 7.0 ](https://developer.nvidia.com/cuda-gpus) [SM 7.2 ](https://developer.nvidia.com/cuda-gpus) [SM 7.5 ](https://developer.nvidia.com/cuda-gpus) [SM 8.0 ](https://developer.nvidia.com/cuda-gpus) [SM 8.6 ](https://developer.nvidia.com/cuda-gpus) [SM 8.7 ](https://developer.nvidia.com/cuda-gpus)
## Supported OSes
Linux, Windows, QNX
## Supported CPU Architecture
x86_64, ppc64le, aarch64
## CUDA APIs involved
### [CUDA Driver API](http://docs.nvidia.com/cuda/cuda-driver-api/index.html)
cuModuleGetFunction, cuMemAlloc, cuLaunchKernel, cuCtxSynchronize, cuMemFree, cuMemcpyDtoH, cuMemcpyHtoD
### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
cudaBlockSize, cudaGridSize
## Dependencies needed to build/run
[NVRTC](../../README.md#nvrtc)
## Prerequisites
Download and install the [CUDA Toolkit 11.6](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
Make sure the dependencies mentioned in [Dependencies]() section above are installed.
## Build and Run
### Windows
The Windows samples are built using the Visual Studio IDE. Solution files (.sln) are provided for each supported version of Visual Studio, using the format:
```
*_vs<version>.sln - for Visual Studio <version>
```
Each individual sample has its own set of solution files in its directory:
To build/examine all the samples at once, the complete solution files should be used. To build/examine a single sample, the individual sample solution files should be used.
> **Note:** Some samples require that the Microsoft DirectX SDK (June 2010 or newer) be installed and that the VC++ directory paths are properly set up (**Tools > Options...**). Check DirectX Dependencies section for details."
### Linux
The Linux samples are built using makefiles. To use the makefiles, change the current directory to the sample directory you wish to build, and run make:
```
$ cd <sample_dir>
$ make
```
The samples makefiles can take advantage of certain options:
* **TARGET_ARCH=<arch>** - cross-compile targeting a specific architecture. Allowed architectures are x86_64, ppc64le, aarch64.
By default, TARGET_ARCH is set to HOST_ARCH. On a x86_64 machine, not setting TARGET_ARCH is the equivalent of setting TARGET_ARCH=x86_64.<br/>
`$ make TARGET_ARCH=x86_64` <br/> `$ make TARGET_ARCH=ppc64le` <br/> `$ make TARGET_ARCH=aarch64` <br/>
See [here](http://docs.nvidia.com/cuda/cuda-samples/index.html#cross-samples) for more details.
* **dbg=1** - build with debug symbols
```
$ make dbg=1
```
* **SMS="A B ..."** - override the SM architectures for which the sample will be built, where `"A B ..."` is a space-delimited list of SM architectures. For example, to generate SASS for SM 50 and SM 60, use `SMS="50 60"`.
```
$ make SMS="50 60"
```
* **HOST_COMPILER=<host_compiler>** - override the default g++ host compiler. See the [Linux Installation Guide](http://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html#system-requirements) for a list of supported host compilers.
```
$ make HOST_COMPILER=g++
```
## References (for more details)

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{
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{
"name": "Linux",
"includePath": [
"${workspaceFolder}/**",
"${workspaceFolder}/../../../Common"
],
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"cppStandard": "gnu++14",
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"configurationProvider": "ms-vscode.makefile-tools"
}
],
"version": 4
}

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{
"recommendations": [
"nvidia.nsight-vscode-edition",
"ms-vscode.cpptools",
"ms-vscode.makefile-tools"
]
}

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{
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{
"name": "CUDA C++: Launch",
"type": "cuda-gdb",
"request": "launch",
"program": "${workspaceFolder}/FDTD3d"
}
]
}

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{
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"group": {
"kind": "build",
"isDefault": true
}
}
]
}

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@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2017
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Release|x64 = Release|x64
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{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
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{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
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EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

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@@ -0,0 +1,117 @@
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@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2019
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@@ -0,0 +1,113 @@
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@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2022
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GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

View File

@@ -0,0 +1,113 @@
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<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<ClCompile Include="src/FDTD3d.cpp" />
<CudaCompile Include="src/FDTD3dGPU.cu" />
<ClCompile Include="src/FDTD3dReference.cpp" />
<ClInclude Include="inc/FDTD3d.h" />
<ClInclude Include="inc/FDTD3dGPU.h" />
<ClInclude Include="inc/FDTD3dReference.h" />
<None Include="inc/FDTD3dGPUKernel.cuh" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
</Project>

View File

@@ -0,0 +1,348 @@
################################################################################
# Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of NVIDIA CORPORATION nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
################################################################################
#
# Makefile project only supported on Mac OS X and Linux Platforms)
#
################################################################################
# Location of the CUDA Toolkit
CUDA_PATH ?= /usr/local/cuda
##############################
# start deprecated interface #
##############################
ifeq ($(x86_64),1)
$(info WARNING - x86_64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=x86_64 instead)
TARGET_ARCH ?= x86_64
endif
ifeq ($(ARMv7),1)
$(info WARNING - ARMv7 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=armv7l instead)
TARGET_ARCH ?= armv7l
endif
ifeq ($(aarch64),1)
$(info WARNING - aarch64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=aarch64 instead)
TARGET_ARCH ?= aarch64
endif
ifeq ($(ppc64le),1)
$(info WARNING - ppc64le variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=ppc64le instead)
TARGET_ARCH ?= ppc64le
endif
ifneq ($(GCC),)
$(info WARNING - GCC variable has been deprecated)
$(info WARNING - please use HOST_COMPILER=$(GCC) instead)
HOST_COMPILER ?= $(GCC)
endif
ifneq ($(abi),)
$(error ERROR - abi variable has been removed)
endif
############################
# end deprecated interface #
############################
# architecture
HOST_ARCH := $(shell uname -m)
TARGET_ARCH ?= $(HOST_ARCH)
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le armv7l))
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le))
TARGET_SIZE := 64
else ifneq (,$(filter $(TARGET_ARCH),armv7l))
TARGET_SIZE := 32
endif
else
TARGET_SIZE := $(shell getconf LONG_BIT)
endif
else
$(error ERROR - unsupported value $(TARGET_ARCH) for TARGET_ARCH!)
endif
# sbsa and aarch64 systems look similar. Need to differentiate them at host level for now.
ifeq ($(HOST_ARCH),aarch64)
ifeq ($(CUDA_PATH)/targets/sbsa-linux,$(shell ls -1d $(CUDA_PATH)/targets/sbsa-linux 2>/dev/null))
HOST_ARCH := sbsa
TARGET_ARCH := sbsa
endif
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq (,$(filter $(HOST_ARCH)-$(TARGET_ARCH),aarch64-armv7l x86_64-armv7l x86_64-aarch64 x86_64-sbsa x86_64-ppc64le))
$(error ERROR - cross compiling from $(HOST_ARCH) to $(TARGET_ARCH) is not supported!)
endif
endif
# When on native aarch64 system with userspace of 32-bit, change TARGET_ARCH to armv7l
ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_SIZE),aarch64-aarch64-32)
TARGET_ARCH = armv7l
endif
# operating system
HOST_OS := $(shell uname -s 2>/dev/null | tr "[:upper:]" "[:lower:]")
TARGET_OS ?= $(HOST_OS)
ifeq (,$(filter $(TARGET_OS),linux darwin qnx android))
$(error ERROR - unsupported value $(TARGET_OS) for TARGET_OS!)
endif
# host compiler
ifeq ($(TARGET_OS),darwin)
ifeq ($(shell expr `xcodebuild -version | grep -i xcode | awk '{print $$2}' | cut -d'.' -f1` \>= 5),1)
HOST_COMPILER ?= clang++
endif
else ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(HOST_ARCH)-$(TARGET_ARCH),x86_64-armv7l)
ifeq ($(TARGET_OS),linux)
HOST_COMPILER ?= arm-linux-gnueabihf-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/arm-unknown-nto-qnx6.6.0eabi-g++
else ifeq ($(TARGET_OS),android)
HOST_COMPILER ?= arm-linux-androideabi-g++
endif
else ifeq ($(TARGET_ARCH),aarch64)
ifeq ($(TARGET_OS), linux)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/q++
else ifeq ($(TARGET_OS), android)
HOST_COMPILER ?= aarch64-linux-android-clang++
endif
else ifeq ($(TARGET_ARCH),sbsa)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_ARCH),ppc64le)
HOST_COMPILER ?= powerpc64le-linux-gnu-g++
endif
endif
HOST_COMPILER ?= g++
NVCC := $(CUDA_PATH)/bin/nvcc -ccbin $(HOST_COMPILER)
# internal flags
NVCCFLAGS := -m${TARGET_SIZE}
CCFLAGS :=
LDFLAGS :=
# build flags
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -rpath $(CUDA_PATH)/lib
CCFLAGS += -arch $(HOST_ARCH)
else ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_OS),x86_64-armv7l-linux)
LDFLAGS += --dynamic-linker=/lib/ld-linux-armhf.so.3
CCFLAGS += -mfloat-abi=hard
else ifeq ($(TARGET_OS),android)
LDFLAGS += -pie
CCFLAGS += -fpie -fpic -fexceptions
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/arm-linux-gnueabihf
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib -L$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/lib/aarch64-linux-gnu -L$(TARGET_FS)/lib/aarch64-linux-gnu
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib -L$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/aarch64-linux-gnu -L$(TARGET_FS)/usr/lib/aarch64-linux-gnu
LDFLAGS += --unresolved-symbols=ignore-in-shared-libs
CCFLAGS += -isystem=$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include/libdrm
CCFLAGS += -isystem=$(TARGET_FS)/usr/include/aarch64-linux-gnu -I$(TARGET_FS)/usr/include/aarch64-linux-gnu
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
NVCCFLAGS += -D_QNX_SOURCE
NVCCFLAGS += --qpp-config 8.3.0,gcc_ntoaarch64le
CCFLAGS += -DWIN_INTERFACE_CUSTOM -I/usr/include/aarch64-qnx-gnu
LDFLAGS += -lsocket
LDFLAGS += -L/usr/lib/aarch64-qnx-gnu
CCFLAGS += "-Wl\,-rpath-link\,/usr/lib/aarch64-qnx-gnu"
ifdef TARGET_OVERRIDE
LDFLAGS += -lslog2
endif
ifneq ($(TARGET_FS),)
LDFLAGS += -L$(TARGET_FS)/usr/lib
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/lib"
LDFLAGS += -L$(TARGET_FS)/usr/libnvidia
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/libnvidia"
CCFLAGS += -I$(TARGET_FS)/../include
endif
endif
endif
ifdef TARGET_OVERRIDE # cuda toolkit targets override
NVCCFLAGS += -target-dir $(TARGET_OVERRIDE)
endif
# Install directory of different arch
CUDA_INSTALL_TARGET_DIR :=
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-gnueabihf/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_INSTALL_TARGET_DIR = targets/sbsa-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_INSTALL_TARGET_DIR = targets/ARMv7-linux-QNX/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-qnx/
else ifeq ($(TARGET_ARCH),ppc64le)
CUDA_INSTALL_TARGET_DIR = targets/ppc64le-linux/
endif
# Debug build flags
ifeq ($(dbg),1)
NVCCFLAGS += -g -G
BUILD_TYPE := debug
else
BUILD_TYPE := release
endif
ALL_CCFLAGS :=
ALL_CCFLAGS += $(NVCCFLAGS)
ALL_CCFLAGS += $(EXTRA_NVCCFLAGS)
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(CCFLAGS))
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(EXTRA_CCFLAGS))
SAMPLE_ENABLED := 1
ALL_LDFLAGS :=
ALL_LDFLAGS += $(ALL_CCFLAGS)
ALL_LDFLAGS += $(addprefix -Xlinker ,$(LDFLAGS))
ALL_LDFLAGS += $(addprefix -Xlinker ,$(EXTRA_LDFLAGS))
# Common includes and paths for CUDA
INCLUDES := -I../../../Common
LIBRARIES :=
################################################################################
# Gencode arguments
ifeq ($(TARGET_ARCH),$(filter $(TARGET_ARCH),armv7l aarch64 sbsa))
SMS ?= 53 61 70 72 75 80 86 87
else
SMS ?= 35 37 50 52 60 61 70 75 80 86
endif
ifeq ($(SMS),)
$(info >>> WARNING - no SM architectures have been specified - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ifeq ($(GENCODE_FLAGS),)
# Generate SASS code for each SM architecture listed in $(SMS)
$(foreach sm,$(SMS),$(eval GENCODE_FLAGS += -gencode arch=compute_$(sm),code=sm_$(sm)))
# Generate PTX code from the highest SM architecture in $(SMS) to guarantee forward-compatibility
HIGHEST_SM := $(lastword $(sort $(SMS)))
ifneq ($(HIGHEST_SM),)
GENCODE_FLAGS += -gencode arch=compute_$(HIGHEST_SM),code=compute_$(HIGHEST_SM)
endif
endif
ALL_CCFLAGS += --threads 0 --std=c++11
INCLUDES += -Iinc
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: FDTD3d
check.deps:
ifeq ($(SAMPLE_ENABLED),0)
@echo "Sample will be waived due to the above missing dependencies"
else
@echo "Sample is ready - all dependencies have been met"
endif
FDTD3d.o:src/FDTD3d.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
FDTD3dGPU.o:src/FDTD3dGPU.cu
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
FDTD3dReference.o:src/FDTD3dReference.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
FDTD3d: FDTD3d.o FDTD3dGPU.o FDTD3dReference.o
$(EXEC) $(NVCC) $(ALL_LDFLAGS) $(GENCODE_FLAGS) -o $@ $+ $(LIBRARIES)
$(EXEC) mkdir -p ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
$(EXEC) cp $@ ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
run: build
$(EXEC) ./FDTD3d
testrun: build
clean:
rm -f FDTD3d FDTD3d.o FDTD3dGPU.o FDTD3dReference.o
rm -rf ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/FDTD3d
clobber: clean

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@@ -0,0 +1,91 @@
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE entry SYSTEM "SamplesInfo.dtd">
<entry>
<name>FDTD3d</name>
<cuda_api_list>
<toolkit>cudaMemcpyToSymbol</toolkit>
<toolkit>cudaFree</toolkit>
<toolkit>cudaEventRecord</toolkit>
<toolkit>cudaEventCreate</toolkit>
<toolkit>cudaFuncGetAttributes</toolkit>
<toolkit>cudaGetDeviceCount</toolkit>
<toolkit>cudaEventElapsedTime</toolkit>
<toolkit>cudaDeviceSynchronize</toolkit>
<toolkit>cudaMalloc</toolkit>
<toolkit>cudaEventDestroy</toolkit>
<toolkit>cudaSetDevice</toolkit>
<toolkit>cudaMemcpy</toolkit>
<toolkit>cudaGetDeviceProperties</toolkit>
</cuda_api_list>
<description><![CDATA[This sample applies a finite differences time domain progression stencil on a 3D surface.]]></description>
<devicecompilation>whole</devicecompilation>
<includepaths>
<path>inc</path>
<path>./</path>
<path>../</path>
<path>../../../Common</path>
</includepaths>
<keyconcepts>
<concept level="advanced">Performance Strategies</concept>
</keyconcepts>
<keywords>
<keyword>GPGPU</keyword>
<keyword>CUDA</keyword>
<keyword>finite difference</keyword>
<keyword>fdtd</keyword>
<keyword>differential equation</keyword>
<keyword>pde</keyword>
<keyword>ode</keyword>
</keywords>
<libraries>
</libraries>
<librarypaths>
</librarypaths>
<nsight_eclipse>true</nsight_eclipse>
<primary_file>FDTD3d.cpp</primary_file>
<scopes>
<scope>1:CUDA Advanced Topics</scope>
<scope>1:Performance Strategies</scope>
</scopes>
<sm-arch>sm35</sm-arch>
<sm-arch>sm37</sm-arch>
<sm-arch>sm50</sm-arch>
<sm-arch>sm52</sm-arch>
<sm-arch>sm53</sm-arch>
<sm-arch>sm60</sm-arch>
<sm-arch>sm61</sm-arch>
<sm-arch>sm70</sm-arch>
<sm-arch>sm72</sm-arch>
<sm-arch>sm75</sm-arch>
<sm-arch>sm80</sm-arch>
<sm-arch>sm86</sm-arch>
<sm-arch>sm87</sm-arch>
<supported_envs>
<env>
<arch>x86_64</arch>
<platform>linux</platform>
</env>
<env>
<platform>windows7</platform>
</env>
<env>
<arch>x86_64</arch>
<platform>macosx</platform>
</env>
<env>
<arch>arm</arch>
</env>
<env>
<arch>sbsa</arch>
</env>
<env>
<arch>ppc64le</arch>
<platform>linux</platform>
</env>
</supported_envs>
<supported_sm_architectures>
<include>all</include>
</supported_sm_architectures>
<title>CUDA C 3D FDTD</title>
<type>exe</type>
</entry>

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@@ -0,0 +1,70 @@
# FDTD3d - CUDA C 3D FDTD
## Description
This sample applies a finite differences time domain progression stencil on a 3D surface.
## Key Concepts
Performance Strategies
## Supported SM Architectures
[SM 3.5 ](https://developer.nvidia.com/cuda-gpus) [SM 3.7 ](https://developer.nvidia.com/cuda-gpus) [SM 5.0 ](https://developer.nvidia.com/cuda-gpus) [SM 5.2 ](https://developer.nvidia.com/cuda-gpus) [SM 5.3 ](https://developer.nvidia.com/cuda-gpus) [SM 6.0 ](https://developer.nvidia.com/cuda-gpus) [SM 6.1 ](https://developer.nvidia.com/cuda-gpus) [SM 7.0 ](https://developer.nvidia.com/cuda-gpus) [SM 7.2 ](https://developer.nvidia.com/cuda-gpus) [SM 7.5 ](https://developer.nvidia.com/cuda-gpus) [SM 8.0 ](https://developer.nvidia.com/cuda-gpus) [SM 8.6 ](https://developer.nvidia.com/cuda-gpus) [SM 8.7 ](https://developer.nvidia.com/cuda-gpus)
## Supported OSes
Linux, Windows
## Supported CPU Architecture
x86_64, ppc64le, armv7l
## CUDA APIs involved
### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
cudaMemcpyToSymbol, cudaFree, cudaEventRecord, cudaEventCreate, cudaFuncGetAttributes, cudaGetDeviceCount, cudaEventElapsedTime, cudaDeviceSynchronize, cudaMalloc, cudaEventDestroy, cudaSetDevice, cudaMemcpy, cudaGetDeviceProperties
## Prerequisites
Download and install the [CUDA Toolkit 11.6](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
## Build and Run
### Windows
The Windows samples are built using the Visual Studio IDE. Solution files (.sln) are provided for each supported version of Visual Studio, using the format:
```
*_vs<version>.sln - for Visual Studio <version>
```
Each individual sample has its own set of solution files in its directory:
To build/examine all the samples at once, the complete solution files should be used. To build/examine a single sample, the individual sample solution files should be used.
> **Note:** Some samples require that the Microsoft DirectX SDK (June 2010 or newer) be installed and that the VC++ directory paths are properly set up (**Tools > Options...**). Check DirectX Dependencies section for details."
### Linux
The Linux samples are built using makefiles. To use the makefiles, change the current directory to the sample directory you wish to build, and run make:
```
$ cd <sample_dir>
$ make
```
The samples makefiles can take advantage of certain options:
* **TARGET_ARCH=<arch>** - cross-compile targeting a specific architecture. Allowed architectures are x86_64, ppc64le, armv7l.
By default, TARGET_ARCH is set to HOST_ARCH. On a x86_64 machine, not setting TARGET_ARCH is the equivalent of setting TARGET_ARCH=x86_64.<br/>
`$ make TARGET_ARCH=x86_64` <br/> `$ make TARGET_ARCH=ppc64le` <br/> `$ make TARGET_ARCH=armv7l` <br/>
See [here](http://docs.nvidia.com/cuda/cuda-samples/index.html#cross-samples) for more details.
* **dbg=1** - build with debug symbols
```
$ make dbg=1
```
* **SMS="A B ..."** - override the SM architectures for which the sample will be built, where `"A B ..."` is a space-delimited list of SM architectures. For example, to generate SASS for SM 50 and SM 60, use `SMS="50 60"`.
```
$ make SMS="50 60"
```
* **HOST_COMPILER=<host_compiler>** - override the default g++ host compiler. See the [Linux Installation Guide](http://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html#system-requirements) for a list of supported host compilers.
```
$ make HOST_COMPILER=g++
```
## References (for more details)

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef _FDTD3D_H_
#define _FDTD3D_H_
// The values are set to give reasonable runtimes, they can
// be changed but note that running very large dimensions can
// take a very long time and you should avoid running on your
// primary display in this case.
#define k_dim_min 96
#define k_dim_max 376
#define k_dim_qa 248
// Note that the radius is defined here as exactly 4 since the
// kernel code uses a constant. If you want a different radius
// you must change the kernel accordingly.
#define k_radius_min 4
#define k_radius_max 4
#define k_radius_default 4
// The values are set to give reasonable runtimes, they can
// be changed but note that running a very large number of
// timesteps can take a very long time and you should avoid
// running on your primary display in this case.
#define k_timesteps_min 1
#define k_timesteps_max 10
#define k_timesteps_default 5
#endif

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@@ -0,0 +1,51 @@
/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef _FDTD3DGPU_H_
#define _FDTD3DGPU_H_
#include <cstddef>
#if defined(WIN32) || defined(_WIN32) || defined(WIN64) || \
defined(_WIN64) && defined(_MSC_VER)
typedef unsigned __int64 memsize_t;
#else
#include <stdint.h>
typedef uint64_t memsize_t;
#endif
#define k_blockDimX 32
#define k_blockDimMaxY 16
#define k_blockSizeMin 128
#define k_blockSizeMax (k_blockDimX * k_blockDimMaxY)
bool getTargetDeviceGlobalMemSize(memsize_t *result, const int argc,
const char **argv);
bool fdtdGPU(float *output, const float *input, const float *coeff,
const int dimx, const int dimy, const int dimz, const int radius,
const int timesteps, const int argc, const char **argv);
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "FDTD3dGPU.h"
#include <cooperative_groups.h>
namespace cg = cooperative_groups;
// Note: If you change the RADIUS, you should also change the unrolling below
#define RADIUS 4
__constant__ float stencil[RADIUS + 1];
__global__ void FiniteDifferencesKernel(float *output, const float *input,
const int dimx, const int dimy,
const int dimz) {
bool validr = true;
bool validw = true;
const int gtidx = blockIdx.x * blockDim.x + threadIdx.x;
const int gtidy = blockIdx.y * blockDim.y + threadIdx.y;
const int ltidx = threadIdx.x;
const int ltidy = threadIdx.y;
const int workx = blockDim.x;
const int worky = blockDim.y;
// Handle to thread block group
cg::thread_block cta = cg::this_thread_block();
__shared__ float tile[k_blockDimMaxY + 2 * RADIUS][k_blockDimX + 2 * RADIUS];
const int stride_y = dimx + 2 * RADIUS;
const int stride_z = stride_y * (dimy + 2 * RADIUS);
int inputIndex = 0;
int outputIndex = 0;
// Advance inputIndex to start of inner volume
inputIndex += RADIUS * stride_y + RADIUS;
// Advance inputIndex to target element
inputIndex += gtidy * stride_y + gtidx;
float infront[RADIUS];
float behind[RADIUS];
float current;
const int tx = ltidx + RADIUS;
const int ty = ltidy + RADIUS;
// Check in bounds
if ((gtidx >= dimx + RADIUS) || (gtidy >= dimy + RADIUS)) validr = false;
if ((gtidx >= dimx) || (gtidy >= dimy)) validw = false;
// Preload the "infront" and "behind" data
for (int i = RADIUS - 2; i >= 0; i--) {
if (validr) behind[i] = input[inputIndex];
inputIndex += stride_z;
}
if (validr) current = input[inputIndex];
outputIndex = inputIndex;
inputIndex += stride_z;
for (int i = 0; i < RADIUS; i++) {
if (validr) infront[i] = input[inputIndex];
inputIndex += stride_z;
}
// Step through the xy-planes
#pragma unroll 9
for (int iz = 0; iz < dimz; iz++) {
// Advance the slice (move the thread-front)
for (int i = RADIUS - 1; i > 0; i--) behind[i] = behind[i - 1];
behind[0] = current;
current = infront[0];
#pragma unroll 4
for (int i = 0; i < RADIUS - 1; i++) infront[i] = infront[i + 1];
if (validr) infront[RADIUS - 1] = input[inputIndex];
inputIndex += stride_z;
outputIndex += stride_z;
cg::sync(cta);
// Note that for the work items on the boundary of the problem, the
// supplied index when reading the halo (below) may wrap to the
// previous/next row or even the previous/next xy-plane. This is
// acceptable since a) we disable the output write for these work
// items and b) there is at least one xy-plane before/after the
// current plane, so the access will be within bounds.
// Update the data slice in the local tile
// Halo above & below
if (ltidy < RADIUS) {
tile[ltidy][tx] = input[outputIndex - RADIUS * stride_y];
tile[ltidy + worky + RADIUS][tx] = input[outputIndex + worky * stride_y];
}
// Halo left & right
if (ltidx < RADIUS) {
tile[ty][ltidx] = input[outputIndex - RADIUS];
tile[ty][ltidx + workx + RADIUS] = input[outputIndex + workx];
}
tile[ty][tx] = current;
cg::sync(cta);
// Compute the output value
float value = stencil[0] * current;
#pragma unroll 4
for (int i = 1; i <= RADIUS; i++) {
value +=
stencil[i] * (infront[i - 1] + behind[i - 1] + tile[ty - i][tx] +
tile[ty + i][tx] + tile[ty][tx - i] + tile[ty][tx + i]);
}
// Store the output value
if (validw) output[outputIndex] = value;
}
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef _FDTD3DREFERENCE_H_
#define _FDTD3DREFERENCE_H_
void generateRandomData(float *data, const int dimx, const int dimy,
const int dimz, const float lowerBound,
const float upperBound);
void generatePatternData(float *data, const int dimx, const int dimy,
const int dimz, const float lowerBound,
const float upperBound);
bool fdtdReference(float *output, const float *input, const float *coeff,
const int dimx, const int dimy, const int dimz,
const int radius, const int timesteps);
bool compareData(const float *output, const float *reference, const int dimx,
const int dimy, const int dimz, const int radius,
const float tolerance = 0.0001f);
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "FDTD3d.h"
#include <iostream>
#include <iomanip>
#include "FDTD3dReference.h"
#include "FDTD3dGPU.h"
#include <helper_functions.h>
#include <math.h>
#include <assert.h>
#ifndef CLAMP
#define CLAMP(a, min, max) (MIN(max, MAX(a, min)))
#endif
//// Name of the log file
// const char *printfFile = "FDTD3d.txt";
// Forward declarations
bool runTest(int argc, const char **argv);
void showHelp(const int argc, const char **argv);
int main(int argc, char **argv) {
bool bTestResult = false;
// Start the log
printf("%s Starting...\n\n", argv[0]);
// Check help flag
if (checkCmdLineFlag(argc, (const char **)argv, "help")) {
printf("Displaying help on console\n");
showHelp(argc, (const char **)argv);
bTestResult = true;
} else {
// Execute
bTestResult = runTest(argc, (const char **)argv);
}
// Finish
exit(bTestResult ? EXIT_SUCCESS : EXIT_FAILURE);
}
void showHelp(const int argc, const char **argv) {
if (argc > 0) std::cout << std::endl << argv[0] << std::endl;
std::cout << std::endl << "Syntax:" << std::endl;
std::cout << std::left;
std::cout << " " << std::setw(20) << "--device=<device>"
<< "Specify device to use for execution" << std::endl;
std::cout << " " << std::setw(20) << "--dimx=<N>"
<< "Specify number of elements in x direction (excluding halo)"
<< std::endl;
std::cout << " " << std::setw(20) << "--dimy=<N>"
<< "Specify number of elements in y direction (excluding halo)"
<< std::endl;
std::cout << " " << std::setw(20) << "--dimz=<N>"
<< "Specify number of elements in z direction (excluding halo)"
<< std::endl;
std::cout << " " << std::setw(20) << "--radius=<N>"
<< "Specify radius of stencil" << std::endl;
std::cout << " " << std::setw(20) << "--timesteps=<N>"
<< "Specify number of timesteps" << std::endl;
std::cout << " " << std::setw(20) << "--block-size=<N>"
<< "Specify number of threads per block" << std::endl;
std::cout << std::endl;
std::cout << " " << std::setw(20) << "--noprompt"
<< "Skip prompt before exit" << std::endl;
std::cout << std::endl;
}
bool runTest(int argc, const char **argv) {
float *host_output;
float *device_output;
float *input;
float *coeff;
int defaultDim;
int dimx;
int dimy;
int dimz;
int outerDimx;
int outerDimy;
int outerDimz;
int radius;
int timesteps;
size_t volumeSize;
memsize_t memsize;
const float lowerBound = 0.0f;
const float upperBound = 1.0f;
// Determine default dimensions
printf("Set-up, based upon target device GMEM size...\n");
// Get the memory size of the target device
printf(" getTargetDeviceGlobalMemSize\n");
getTargetDeviceGlobalMemSize(&memsize, argc, argv);
// We can never use all the memory so to keep things simple we aim to
// use around half the total memory
memsize /= 2;
// Most of our memory use is taken up by the input and output buffers -
// two buffers of equal size - and for simplicity the volume is a cube:
// dim = floor( (N/2)^(1/3) )
defaultDim = (int)floor(pow((memsize / (2.0 * sizeof(float))), 1.0 / 3.0));
// By default, make the volume edge size an integer multiple of 128B to
// improve performance by coalescing memory accesses, in a real
// application it would make sense to pad the lines accordingly
int roundTarget = 128 / sizeof(float);
defaultDim = defaultDim / roundTarget * roundTarget;
defaultDim -= k_radius_default * 2;
// Check dimension is valid
if (defaultDim < k_dim_min) {
printf(
"insufficient device memory (maximum volume on device is %d, must be "
"between %d and %d).\n",
defaultDim, k_dim_min, k_dim_max);
exit(EXIT_FAILURE);
} else if (defaultDim > k_dim_max) {
defaultDim = k_dim_max;
}
// For QA testing, override default volume size
if (checkCmdLineFlag(argc, argv, "qatest")) {
defaultDim = MIN(defaultDim, k_dim_qa);
}
// set default dim
dimx = defaultDim;
dimy = defaultDim;
dimz = defaultDim;
radius = k_radius_default;
timesteps = k_timesteps_default;
// Parse command line arguments
if (checkCmdLineFlag(argc, argv, "dimx")) {
dimx =
CLAMP(getCmdLineArgumentInt(argc, argv, "dimx"), k_dim_min, k_dim_max);
}
if (checkCmdLineFlag(argc, argv, "dimy")) {
dimy =
CLAMP(getCmdLineArgumentInt(argc, argv, "dimy"), k_dim_min, k_dim_max);
}
if (checkCmdLineFlag(argc, argv, "dimz")) {
dimz =
CLAMP(getCmdLineArgumentInt(argc, argv, "dimz"), k_dim_min, k_dim_max);
}
if (checkCmdLineFlag(argc, argv, "radius")) {
radius = CLAMP(getCmdLineArgumentInt(argc, argv, "radius"), k_radius_min,
k_radius_max);
}
if (checkCmdLineFlag(argc, argv, "timesteps")) {
timesteps = CLAMP(getCmdLineArgumentInt(argc, argv, "timesteps"),
k_timesteps_min, k_timesteps_max);
}
// Determine volume size
outerDimx = dimx + 2 * radius;
outerDimy = dimy + 2 * radius;
outerDimz = dimz + 2 * radius;
volumeSize = outerDimx * outerDimy * outerDimz;
// Allocate memory
host_output = (float *)calloc(volumeSize, sizeof(float));
input = (float *)malloc(volumeSize * sizeof(float));
coeff = (float *)malloc((radius + 1) * sizeof(float));
// Create coefficients
for (int i = 0; i <= radius; i++) {
coeff[i] = 0.1f;
}
// Generate data
printf(" generateRandomData\n\n");
generateRandomData(input, outerDimx, outerDimy, outerDimz, lowerBound,
upperBound);
printf(
"FDTD on %d x %d x %d volume with symmetric filter radius %d for %d "
"timesteps...\n\n",
dimx, dimy, dimz, radius, timesteps);
// Execute on the host
printf("fdtdReference...\n");
fdtdReference(host_output, input, coeff, dimx, dimy, dimz, radius, timesteps);
printf("fdtdReference complete\n");
// Allocate memory
device_output = (float *)calloc(volumeSize, sizeof(float));
// Execute on the device
printf("fdtdGPU...\n");
fdtdGPU(device_output, input, coeff, dimx, dimy, dimz, radius, timesteps,
argc, argv);
printf("fdtdGPU complete\n");
// Compare the results
float tolerance = 0.0001f;
printf("\nCompareData (tolerance %f)...\n", tolerance);
return compareData(device_output, host_output, dimx, dimy, dimz, radius,
tolerance);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "FDTD3dGPU.h"
#include <iostream>
#include <algorithm>
#include <helper_functions.h>
#include <helper_cuda.h>
#include "FDTD3dGPUKernel.cuh"
bool getTargetDeviceGlobalMemSize(memsize_t *result, const int argc,
const char **argv) {
int deviceCount = 0;
int targetDevice = 0;
size_t memsize = 0;
// Get the number of CUDA enabled GPU devices
printf(" cudaGetDeviceCount\n");
checkCudaErrors(cudaGetDeviceCount(&deviceCount));
// Select target device (device 0 by default)
targetDevice = findCudaDevice(argc, (const char **)argv);
// Query target device for maximum memory allocation
printf(" cudaGetDeviceProperties\n");
struct cudaDeviceProp deviceProp;
checkCudaErrors(cudaGetDeviceProperties(&deviceProp, targetDevice));
memsize = deviceProp.totalGlobalMem;
// Save the result
*result = (memsize_t)memsize;
return true;
}
bool fdtdGPU(float *output, const float *input, const float *coeff,
const int dimx, const int dimy, const int dimz, const int radius,
const int timesteps, const int argc, const char **argv) {
const int outerDimx = dimx + 2 * radius;
const int outerDimy = dimy + 2 * radius;
const int outerDimz = dimz + 2 * radius;
const size_t volumeSize = outerDimx * outerDimy * outerDimz;
int deviceCount = 0;
int targetDevice = 0;
float *bufferOut = 0;
float *bufferIn = 0;
dim3 dimBlock;
dim3 dimGrid;
// Ensure that the inner data starts on a 128B boundary
const int padding = (128 / sizeof(float)) - radius;
const size_t paddedVolumeSize = volumeSize + padding;
#ifdef GPU_PROFILING
cudaEvent_t profileStart = 0;
cudaEvent_t profileEnd = 0;
const int profileTimesteps = timesteps - 1;
if (profileTimesteps < 1) {
printf(
" cannot profile with fewer than two timesteps (timesteps=%d), "
"profiling is disabled.\n",
timesteps);
}
#endif
// Check the radius is valid
if (radius != RADIUS) {
printf("radius is invalid, must be %d - see kernel for details.\n", RADIUS);
exit(EXIT_FAILURE);
}
// Get the number of CUDA enabled GPU devices
checkCudaErrors(cudaGetDeviceCount(&deviceCount));
// Select target device (device 0 by default)
targetDevice = findCudaDevice(argc, (const char **)argv);
checkCudaErrors(cudaSetDevice(targetDevice));
// Allocate memory buffers
checkCudaErrors(
cudaMalloc((void **)&bufferOut, paddedVolumeSize * sizeof(float)));
checkCudaErrors(
cudaMalloc((void **)&bufferIn, paddedVolumeSize * sizeof(float)));
// Check for a command-line specified block size
int userBlockSize;
if (checkCmdLineFlag(argc, (const char **)argv, "block-size")) {
userBlockSize = getCmdLineArgumentInt(argc, argv, "block-size");
// Constrain to a multiple of k_blockDimX
userBlockSize = (userBlockSize / k_blockDimX * k_blockDimX);
// Constrain within allowed bounds
userBlockSize = MIN(MAX(userBlockSize, k_blockSizeMin), k_blockSizeMax);
} else {
userBlockSize = k_blockSizeMax;
}
// Check the device limit on the number of threads
struct cudaFuncAttributes funcAttrib;
checkCudaErrors(cudaFuncGetAttributes(&funcAttrib, FiniteDifferencesKernel));
userBlockSize = MIN(userBlockSize, funcAttrib.maxThreadsPerBlock);
// Set the block size
dimBlock.x = k_blockDimX;
// Visual Studio 2005 does not like std::min
// dimBlock.y = std::min<size_t>(userBlockSize / k_blockDimX,
// (size_t)k_blockDimMaxY);
dimBlock.y = ((userBlockSize / k_blockDimX) < (size_t)k_blockDimMaxY)
? (userBlockSize / k_blockDimX)
: (size_t)k_blockDimMaxY;
dimGrid.x = (unsigned int)ceil((float)dimx / dimBlock.x);
dimGrid.y = (unsigned int)ceil((float)dimy / dimBlock.y);
printf(" set block size to %dx%d\n", dimBlock.x, dimBlock.y);
printf(" set grid size to %dx%d\n", dimGrid.x, dimGrid.y);
// Check the block size is valid
if (dimBlock.x < RADIUS || dimBlock.y < RADIUS) {
printf("invalid block size, x (%d) and y (%d) must be >= radius (%d).\n",
dimBlock.x, dimBlock.y, RADIUS);
exit(EXIT_FAILURE);
}
// Copy the input to the device input buffer
checkCudaErrors(cudaMemcpy(bufferIn + padding, input,
volumeSize * sizeof(float),
cudaMemcpyHostToDevice));
// Copy the input to the device output buffer (actually only need the halo)
checkCudaErrors(cudaMemcpy(bufferOut + padding, input,
volumeSize * sizeof(float),
cudaMemcpyHostToDevice));
// Copy the coefficients to the device coefficient buffer
checkCudaErrors(
cudaMemcpyToSymbol(stencil, (void *)coeff, (radius + 1) * sizeof(float)));
#ifdef GPU_PROFILING
// Create the events
checkCudaErrors(cudaEventCreate(&profileStart));
checkCudaErrors(cudaEventCreate(&profileEnd));
#endif
// Execute the FDTD
float *bufferSrc = bufferIn + padding;
float *bufferDst = bufferOut + padding;
printf(" GPU FDTD loop\n");
#ifdef GPU_PROFILING
// Enqueue start event
checkCudaErrors(cudaEventRecord(profileStart, 0));
#endif
for (int it = 0; it < timesteps; it++) {
printf("\tt = %d ", it);
// Launch the kernel
printf("launch kernel\n");
FiniteDifferencesKernel<<<dimGrid, dimBlock>>>(bufferDst, bufferSrc, dimx,
dimy, dimz);
// Toggle the buffers
// Visual Studio 2005 does not like std::swap
// std::swap<float *>(bufferSrc, bufferDst);
float *tmp = bufferDst;
bufferDst = bufferSrc;
bufferSrc = tmp;
}
printf("\n");
#ifdef GPU_PROFILING
// Enqueue end event
checkCudaErrors(cudaEventRecord(profileEnd, 0));
#endif
// Wait for the kernel to complete
checkCudaErrors(cudaDeviceSynchronize());
// Read the result back, result is in bufferSrc (after final toggle)
checkCudaErrors(cudaMemcpy(output, bufferSrc, volumeSize * sizeof(float),
cudaMemcpyDeviceToHost));
// Report time
#ifdef GPU_PROFILING
float elapsedTimeMS = 0;
if (profileTimesteps > 0) {
checkCudaErrors(
cudaEventElapsedTime(&elapsedTimeMS, profileStart, profileEnd));
}
if (profileTimesteps > 0) {
// Convert milliseconds to seconds
double elapsedTime = elapsedTimeMS * 1.0e-3;
double avgElapsedTime = elapsedTime / (double)profileTimesteps;
// Determine number of computations per timestep
size_t pointsComputed = dimx * dimy * dimz;
// Determine throughput
double throughputM = 1.0e-6 * (double)pointsComputed / avgElapsedTime;
printf(
"FDTD3d, Throughput = %.4f MPoints/s, Time = %.5f s, Size = %u Points, "
"NumDevsUsed = %u, Blocksize = %u\n",
throughputM, avgElapsedTime, pointsComputed, 1,
dimBlock.x * dimBlock.y);
}
#endif
// Cleanup
if (bufferIn) {
checkCudaErrors(cudaFree(bufferIn));
}
if (bufferOut) {
checkCudaErrors(cudaFree(bufferOut));
}
#ifdef GPU_PROFILING
if (profileStart) {
checkCudaErrors(cudaEventDestroy(profileStart));
}
if (profileEnd) {
checkCudaErrors(cudaEventDestroy(profileEnd));
}
#endif
return true;
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "FDTD3dReference.h"
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <iomanip>
#include <stdio.h>
void generateRandomData(float *data, const int dimx, const int dimy,
const int dimz, const float lowerBound,
const float upperBound) {
srand(0);
for (int iz = 0; iz < dimz; iz++) {
for (int iy = 0; iy < dimy; iy++) {
for (int ix = 0; ix < dimx; ix++) {
*data = (float)(lowerBound +
((float)rand() / (float)RAND_MAX) *
(upperBound - lowerBound));
++data;
}
}
}
}
void generatePatternData(float *data, const int dimx, const int dimy,
const int dimz, const float lowerBound,
const float upperBound) {
for (int iz = 0; iz < dimz; iz++) {
for (int iy = 0; iy < dimy; iy++) {
for (int ix = 0; ix < dimx; ix++) {
*data = (float)(lowerBound +
((float)iz / (float)dimz) * (upperBound - lowerBound));
++data;
}
}
}
}
bool fdtdReference(float *output, const float *input, const float *coeff,
const int dimx, const int dimy, const int dimz,
const int radius, const int timesteps) {
const int outerDimx = dimx + 2 * radius;
const int outerDimy = dimy + 2 * radius;
const int outerDimz = dimz + 2 * radius;
const size_t volumeSize = outerDimx * outerDimy * outerDimz;
const int stride_y = outerDimx;
const int stride_z = stride_y * outerDimy;
float *intermediate = 0;
const float *bufsrc = 0;
float *bufdst = 0;
float *bufdstnext = 0;
// Allocate temporary buffer
printf(" calloc intermediate\n");
intermediate = (float *)calloc(volumeSize, sizeof(float));
// Decide which buffer to use first (result should end up in output)
if ((timesteps % 2) == 0) {
bufsrc = input;
bufdst = intermediate;
bufdstnext = output;
} else {
bufsrc = input;
bufdst = output;
bufdstnext = intermediate;
}
// Run the FDTD (naive method)
printf(" Host FDTD loop\n");
for (int it = 0; it < timesteps; it++) {
printf("\tt = %d\n", it);
const float *src = bufsrc;
float *dst = bufdst;
for (int iz = -radius; iz < dimz + radius; iz++) {
for (int iy = -radius; iy < dimy + radius; iy++) {
for (int ix = -radius; ix < dimx + radius; ix++) {
if (ix >= 0 && ix < dimx && iy >= 0 && iy < dimy && iz >= 0 &&
iz < dimz) {
float value = (*src) * coeff[0];
for (int ir = 1; ir <= radius; ir++) {
value += coeff[ir] * (*(src + ir) + *(src - ir)); // horizontal
value += coeff[ir] * (*(src + ir * stride_y) +
*(src - ir * stride_y)); // vertical
value +=
coeff[ir] * (*(src + ir * stride_z) +
*(src - ir * stride_z)); // in front & behind
}
*dst = value;
} else {
*dst = *src;
}
++dst;
++src;
}
}
}
// Rotate buffers
float *tmp = bufdst;
bufdst = bufdstnext;
bufdstnext = tmp;
bufsrc = (const float *)tmp;
}
printf("\n");
if (intermediate) free(intermediate);
return true;
}
bool compareData(const float *output, const float *reference, const int dimx,
const int dimy, const int dimz, const int radius,
const float tolerance) {
for (int iz = -radius; iz < dimz + radius; iz++) {
for (int iy = -radius; iy < dimy + radius; iy++) {
for (int ix = -radius; ix < dimx + radius; ix++) {
if (ix >= 0 && ix < dimx && iy >= 0 && iy < dimy && iz >= 0 &&
iz < dimz) {
// Determine the absolute difference
float difference = fabs(*reference - *output);
float error;
// Determine the relative error
if (*reference != 0)
error = difference / *reference;
else
error = difference;
// Check the error is within the tolerance
if (error > tolerance) {
printf("Data error at point (%d,%d,%d)\t%f instead of %f\n", ix, iy,
iz, *output, *reference);
return false;
}
}
++output;
++reference;
}
}
}
return true;
}

View File

@@ -0,0 +1,18 @@
{
"configurations": [
{
"name": "Linux",
"includePath": [
"${workspaceFolder}/**",
"${workspaceFolder}/../../../Common"
],
"defines": [],
"compilerPath": "/usr/local/cuda/bin/nvcc",
"cStandard": "gnu17",
"cppStandard": "gnu++14",
"intelliSenseMode": "linux-gcc-x64",
"configurationProvider": "ms-vscode.makefile-tools"
}
],
"version": 4
}

View File

@@ -0,0 +1,7 @@
{
"recommendations": [
"nvidia.nsight-vscode-edition",
"ms-vscode.cpptools",
"ms-vscode.makefile-tools"
]
}

View File

@@ -0,0 +1,10 @@
{
"configurations": [
{
"name": "CUDA C++: Launch",
"type": "cuda-gdb",
"request": "launch",
"program": "${workspaceFolder}/HSOpticalFlow"
}
]
}

View File

@@ -0,0 +1,15 @@
{
"version": "2.0.0",
"tasks": [
{
"label": "sample",
"type": "shell",
"command": "make dbg=1",
"problemMatcher": ["$nvcc"],
"group": {
"kind": "build",
"isDefault": true
}
}
]
}

View File

@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2017
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "HSOpticalFlow", "HSOpticalFlow_vs2017.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

View File

@@ -0,0 +1,122 @@
<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<PropertyGroup>
<CUDAPropsPath Condition="'$(CUDAPropsPath)'==''">$(VCTargetsPath)\BuildCustomizations</CUDAPropsPath>
</PropertyGroup>
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>HSOpticalFlow_vs2017</RootNamespace>
<ProjectName>HSOpticalFlow</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<PropertyGroup Condition="'$(WindowsTargetPlatformVersion)'==''">
<LatestTargetPlatformVersion>$([Microsoft.Build.Utilities.ToolLocationHelper]::GetLatestSDKTargetPlatformVersion('Windows', '10.0'))</LatestTargetPlatformVersion>
<WindowsTargetPlatformVersion Condition="'$(WindowsTargetPlatformVersion)' == ''">$(LatestTargetPlatformVersion)</WindowsTargetPlatformVersion>
<TargetPlatformVersion>$(WindowsTargetPlatformVersion)</TargetPlatformVersion>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v141</PlatformToolset>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cudart_static.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
<AdditionalLibraryDirectories>$(CudaToolkitLibDir);</AdditionalLibraryDirectories>
<OutputFile>$(OutDir)/HSOpticalFlow.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration>compute_35,sm_35;compute_37,sm_37;compute_50,sm_50;compute_52,sm_52;compute_60,sm_60;compute_61,sm_61;compute_70,sm_70;compute_75,sm_75;compute_80,sm_80;compute_86,sm_86;</CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<CudaCompile Include="flowCUDA.cu" />
<ClCompile Include="flowGold.cpp" />
<ClCompile Include="main.cpp" />
<ClInclude Include="common.h" />
<ClInclude Include="flowCUDA.h" />
<ClInclude Include="flowGold.h" />
<None Include="addKernel.cuh" />
<None Include="derivativesKernel.cuh" />
<None Include="downscaleKernel.cuh" />
<None Include="solverKernel.cuh" />
<None Include="upscaleKernel.cuh" />
<None Include="warpingKernel.cuh" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
</Project>

View File

@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2019
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "HSOpticalFlow", "HSOpticalFlow_vs2019.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

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@@ -0,0 +1,118 @@
<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<PropertyGroup>
<CUDAPropsPath Condition="'$(CUDAPropsPath)'==''">$(VCTargetsPath)\BuildCustomizations</CUDAPropsPath>
</PropertyGroup>
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>HSOpticalFlow_vs2019</RootNamespace>
<ProjectName>HSOpticalFlow</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v142</PlatformToolset>
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cudart_static.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
<AdditionalLibraryDirectories>$(CudaToolkitLibDir);</AdditionalLibraryDirectories>
<OutputFile>$(OutDir)/HSOpticalFlow.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration>compute_35,sm_35;compute_37,sm_37;compute_50,sm_50;compute_52,sm_52;compute_60,sm_60;compute_61,sm_61;compute_70,sm_70;compute_75,sm_75;compute_80,sm_80;compute_86,sm_86;</CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<CudaCompile Include="flowCUDA.cu" />
<ClCompile Include="flowGold.cpp" />
<ClCompile Include="main.cpp" />
<ClInclude Include="common.h" />
<ClInclude Include="flowCUDA.h" />
<ClInclude Include="flowGold.h" />
<None Include="addKernel.cuh" />
<None Include="derivativesKernel.cuh" />
<None Include="downscaleKernel.cuh" />
<None Include="solverKernel.cuh" />
<None Include="upscaleKernel.cuh" />
<None Include="warpingKernel.cuh" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
</Project>

View File

@@ -0,0 +1,20 @@

Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio 2022
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "HSOpticalFlow", "HSOpticalFlow_vs2022.vcxproj", "{997E0757-EA74-4A4E-A0FC-47D8C8831A15}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.ActiveCfg = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Debug|x64.Build.0 = Debug|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.ActiveCfg = Release|x64
{997E0757-EA74-4A4E-A0FC-47D8C8831A15}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
EndGlobal

View File

@@ -0,0 +1,118 @@
<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<PropertyGroup>
<CUDAPropsPath Condition="'$(CUDAPropsPath)'==''">$(VCTargetsPath)\BuildCustomizations</CUDAPropsPath>
</PropertyGroup>
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Globals">
<ProjectGuid>{997E0757-EA74-4A4E-A0FC-47D8C8831A15}</ProjectGuid>
<RootNamespace>HSOpticalFlow_vs2022</RootNamespace>
<ProjectName>HSOpticalFlow</ProjectName>
<CudaToolkitCustomDir />
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup>
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>MultiByte</CharacterSet>
<PlatformToolset>v143</PlatformToolset>
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'">
<UseDebugLibraries>true</UseDebugLibraries>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'">
<WholeProgramOptimization>true</WholeProgramOptimization>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.props" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<IntDir>$(Platform)/$(Configuration)/</IntDir>
<IncludePath>$(IncludePath)</IncludePath>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
<CodeAnalysisRules />
<CodeAnalysisRuleAssemblies />
</PropertyGroup>
<PropertyGroup Condition="'$(Platform)'=='x64'">
<OutDir>../../../bin/win64/$(Configuration)/</OutDir>
</PropertyGroup>
<ItemDefinitionGroup>
<ClCompile>
<WarningLevel>Level3</WarningLevel>
<PreprocessorDefinitions>WIN32;_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
<AdditionalIncludeDirectories>./;$(CudaToolkitDir)/include;../../../Common;</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
<AdditionalDependencies>cudart_static.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
<AdditionalLibraryDirectories>$(CudaToolkitLibDir);</AdditionalLibraryDirectories>
<OutputFile>$(OutDir)/HSOpticalFlow.exe</OutputFile>
</Link>
<CudaCompile>
<CodeGeneration>compute_35,sm_35;compute_37,sm_37;compute_50,sm_50;compute_52,sm_52;compute_60,sm_60;compute_61,sm_61;compute_70,sm_70;compute_75,sm_75;compute_80,sm_80;compute_86,sm_86;</CodeGeneration>
<AdditionalOptions>-Xcompiler "/wd 4819" --threads 0 </AdditionalOptions>
<Include>./;../../../Common</Include>
<Defines>WIN32</Defines>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<Optimization>Disabled</Optimization>
<RuntimeLibrary>MultiThreadedDebug</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>true</GenerateDebugInformation>
<LinkTimeCodeGeneration>Default</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MTd</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<Optimization>MaxSpeed</Optimization>
<RuntimeLibrary>MultiThreaded</RuntimeLibrary>
</ClCompile>
<Link>
<GenerateDebugInformation>false</GenerateDebugInformation>
<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
</Link>
<CudaCompile>
<Runtime>MT</Runtime>
<TargetMachinePlatform>64</TargetMachinePlatform>
</CudaCompile>
</ItemDefinitionGroup>
<ItemGroup>
<CudaCompile Include="flowCUDA.cu" />
<ClCompile Include="flowGold.cpp" />
<ClCompile Include="main.cpp" />
<ClInclude Include="common.h" />
<ClInclude Include="flowCUDA.h" />
<ClInclude Include="flowGold.h" />
<None Include="addKernel.cuh" />
<None Include="derivativesKernel.cuh" />
<None Include="downscaleKernel.cuh" />
<None Include="solverKernel.cuh" />
<None Include="upscaleKernel.cuh" />
<None Include="warpingKernel.cuh" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">
<Import Project="$(CUDAPropsPath)\CUDA 11.6.targets" />
</ImportGroup>
</Project>

View File

@@ -0,0 +1,346 @@
################################################################################
# Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of NVIDIA CORPORATION nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
################################################################################
#
# Makefile project only supported on Mac OS X and Linux Platforms)
#
################################################################################
# Location of the CUDA Toolkit
CUDA_PATH ?= /usr/local/cuda
##############################
# start deprecated interface #
##############################
ifeq ($(x86_64),1)
$(info WARNING - x86_64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=x86_64 instead)
TARGET_ARCH ?= x86_64
endif
ifeq ($(ARMv7),1)
$(info WARNING - ARMv7 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=armv7l instead)
TARGET_ARCH ?= armv7l
endif
ifeq ($(aarch64),1)
$(info WARNING - aarch64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=aarch64 instead)
TARGET_ARCH ?= aarch64
endif
ifeq ($(ppc64le),1)
$(info WARNING - ppc64le variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=ppc64le instead)
TARGET_ARCH ?= ppc64le
endif
ifneq ($(GCC),)
$(info WARNING - GCC variable has been deprecated)
$(info WARNING - please use HOST_COMPILER=$(GCC) instead)
HOST_COMPILER ?= $(GCC)
endif
ifneq ($(abi),)
$(error ERROR - abi variable has been removed)
endif
############################
# end deprecated interface #
############################
# architecture
HOST_ARCH := $(shell uname -m)
TARGET_ARCH ?= $(HOST_ARCH)
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le armv7l))
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le))
TARGET_SIZE := 64
else ifneq (,$(filter $(TARGET_ARCH),armv7l))
TARGET_SIZE := 32
endif
else
TARGET_SIZE := $(shell getconf LONG_BIT)
endif
else
$(error ERROR - unsupported value $(TARGET_ARCH) for TARGET_ARCH!)
endif
# sbsa and aarch64 systems look similar. Need to differentiate them at host level for now.
ifeq ($(HOST_ARCH),aarch64)
ifeq ($(CUDA_PATH)/targets/sbsa-linux,$(shell ls -1d $(CUDA_PATH)/targets/sbsa-linux 2>/dev/null))
HOST_ARCH := sbsa
TARGET_ARCH := sbsa
endif
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq (,$(filter $(HOST_ARCH)-$(TARGET_ARCH),aarch64-armv7l x86_64-armv7l x86_64-aarch64 x86_64-sbsa x86_64-ppc64le))
$(error ERROR - cross compiling from $(HOST_ARCH) to $(TARGET_ARCH) is not supported!)
endif
endif
# When on native aarch64 system with userspace of 32-bit, change TARGET_ARCH to armv7l
ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_SIZE),aarch64-aarch64-32)
TARGET_ARCH = armv7l
endif
# operating system
HOST_OS := $(shell uname -s 2>/dev/null | tr "[:upper:]" "[:lower:]")
TARGET_OS ?= $(HOST_OS)
ifeq (,$(filter $(TARGET_OS),linux darwin qnx android))
$(error ERROR - unsupported value $(TARGET_OS) for TARGET_OS!)
endif
# host compiler
ifeq ($(TARGET_OS),darwin)
ifeq ($(shell expr `xcodebuild -version | grep -i xcode | awk '{print $$2}' | cut -d'.' -f1` \>= 5),1)
HOST_COMPILER ?= clang++
endif
else ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(HOST_ARCH)-$(TARGET_ARCH),x86_64-armv7l)
ifeq ($(TARGET_OS),linux)
HOST_COMPILER ?= arm-linux-gnueabihf-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/arm-unknown-nto-qnx6.6.0eabi-g++
else ifeq ($(TARGET_OS),android)
HOST_COMPILER ?= arm-linux-androideabi-g++
endif
else ifeq ($(TARGET_ARCH),aarch64)
ifeq ($(TARGET_OS), linux)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/q++
else ifeq ($(TARGET_OS), android)
HOST_COMPILER ?= aarch64-linux-android-clang++
endif
else ifeq ($(TARGET_ARCH),sbsa)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_ARCH),ppc64le)
HOST_COMPILER ?= powerpc64le-linux-gnu-g++
endif
endif
HOST_COMPILER ?= g++
NVCC := $(CUDA_PATH)/bin/nvcc -ccbin $(HOST_COMPILER)
# internal flags
NVCCFLAGS := -m${TARGET_SIZE}
CCFLAGS :=
LDFLAGS :=
# build flags
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -rpath $(CUDA_PATH)/lib
CCFLAGS += -arch $(HOST_ARCH)
else ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_OS),x86_64-armv7l-linux)
LDFLAGS += --dynamic-linker=/lib/ld-linux-armhf.so.3
CCFLAGS += -mfloat-abi=hard
else ifeq ($(TARGET_OS),android)
LDFLAGS += -pie
CCFLAGS += -fpie -fpic -fexceptions
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/arm-linux-gnueabihf
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib -L$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/lib/aarch64-linux-gnu -L$(TARGET_FS)/lib/aarch64-linux-gnu
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib -L$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/aarch64-linux-gnu -L$(TARGET_FS)/usr/lib/aarch64-linux-gnu
LDFLAGS += --unresolved-symbols=ignore-in-shared-libs
CCFLAGS += -isystem=$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include/libdrm
CCFLAGS += -isystem=$(TARGET_FS)/usr/include/aarch64-linux-gnu -I$(TARGET_FS)/usr/include/aarch64-linux-gnu
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
NVCCFLAGS += -D_QNX_SOURCE
NVCCFLAGS += --qpp-config 8.3.0,gcc_ntoaarch64le
CCFLAGS += -DWIN_INTERFACE_CUSTOM -I/usr/include/aarch64-qnx-gnu
LDFLAGS += -lsocket
LDFLAGS += -L/usr/lib/aarch64-qnx-gnu
CCFLAGS += "-Wl\,-rpath-link\,/usr/lib/aarch64-qnx-gnu"
ifdef TARGET_OVERRIDE
LDFLAGS += -lslog2
endif
ifneq ($(TARGET_FS),)
LDFLAGS += -L$(TARGET_FS)/usr/lib
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/lib"
LDFLAGS += -L$(TARGET_FS)/usr/libnvidia
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/libnvidia"
CCFLAGS += -I$(TARGET_FS)/../include
endif
endif
endif
ifdef TARGET_OVERRIDE # cuda toolkit targets override
NVCCFLAGS += -target-dir $(TARGET_OVERRIDE)
endif
# Install directory of different arch
CUDA_INSTALL_TARGET_DIR :=
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-gnueabihf/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_INSTALL_TARGET_DIR = targets/sbsa-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_INSTALL_TARGET_DIR = targets/ARMv7-linux-QNX/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-qnx/
else ifeq ($(TARGET_ARCH),ppc64le)
CUDA_INSTALL_TARGET_DIR = targets/ppc64le-linux/
endif
# Debug build flags
ifeq ($(dbg),1)
NVCCFLAGS += -g -G
BUILD_TYPE := debug
else
BUILD_TYPE := release
endif
ALL_CCFLAGS :=
ALL_CCFLAGS += $(NVCCFLAGS)
ALL_CCFLAGS += $(EXTRA_NVCCFLAGS)
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(CCFLAGS))
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(EXTRA_CCFLAGS))
SAMPLE_ENABLED := 1
ALL_LDFLAGS :=
ALL_LDFLAGS += $(ALL_CCFLAGS)
ALL_LDFLAGS += $(addprefix -Xlinker ,$(LDFLAGS))
ALL_LDFLAGS += $(addprefix -Xlinker ,$(EXTRA_LDFLAGS))
# Common includes and paths for CUDA
INCLUDES := -I../../../Common
LIBRARIES :=
################################################################################
# Gencode arguments
ifeq ($(TARGET_ARCH),$(filter $(TARGET_ARCH),armv7l aarch64 sbsa))
SMS ?= 53 61 70 72 75 80 86 87
else
SMS ?= 35 37 50 52 60 61 70 75 80 86
endif
ifeq ($(SMS),)
$(info >>> WARNING - no SM architectures have been specified - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ifeq ($(GENCODE_FLAGS),)
# Generate SASS code for each SM architecture listed in $(SMS)
$(foreach sm,$(SMS),$(eval GENCODE_FLAGS += -gencode arch=compute_$(sm),code=sm_$(sm)))
# Generate PTX code from the highest SM architecture in $(SMS) to guarantee forward-compatibility
HIGHEST_SM := $(lastword $(sort $(SMS)))
ifneq ($(HIGHEST_SM),)
GENCODE_FLAGS += -gencode arch=compute_$(HIGHEST_SM),code=compute_$(HIGHEST_SM)
endif
endif
ALL_CCFLAGS += --threads 0 --std=c++11
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: HSOpticalFlow
check.deps:
ifeq ($(SAMPLE_ENABLED),0)
@echo "Sample will be waived due to the above missing dependencies"
else
@echo "Sample is ready - all dependencies have been met"
endif
flowCUDA.o:flowCUDA.cu
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
flowGold.o:flowGold.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
main.o:main.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
HSOpticalFlow: flowCUDA.o flowGold.o main.o
$(EXEC) $(NVCC) $(ALL_LDFLAGS) $(GENCODE_FLAGS) -o $@ $+ $(LIBRARIES)
$(EXEC) mkdir -p ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
$(EXEC) cp $@ ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
run: build
$(EXEC) ./HSOpticalFlow
testrun: build
clean:
rm -f HSOpticalFlow flowCUDA.o flowGold.o main.o
rm -rf ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/HSOpticalFlow
clobber: clean

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE entry SYSTEM "SamplesInfo.dtd">
<entry>
<name>HSOpticalFlow</name>
<cuda_api_list>
<toolkit>cudaMalloc</toolkit>
<toolkit>cudaMemset</toolkit>
<toolkit>cudaFree</toolkit>
<toolkit>cudaMemcpy</toolkit>
</cuda_api_list>
<description><![CDATA[Variational optical flow estimation example. Uses textures for image operations. Shows how simple PDE solver can be accelerated with CUDA.]]></description>
<devicecompilation>whole</devicecompilation>
<files>
<file>data\frame10.ppm</file>
<file>data\frame11.ppm</file>
</files>
<includepaths>
<path>./</path>
<path>../</path>
<path>../../../Common</path>
</includepaths>
<keyconcepts>
<concept level="advanced">Image Processing</concept>
<concept level="advanced">Data Parallel Algorithms</concept>
</keyconcepts>
<keywords>
<keyword>optical flow</keyword>
<keyword>motion estimation</keyword>
<keyword>texture</keyword>
<keyword>shared memory</keyword>
</keywords>
<libraries>
</libraries>
<librarypaths>
</librarypaths>
<nsight_eclipse>true</nsight_eclipse>
<primary_file>main.cpp</primary_file>
<scopes>
<scope>1:CUDA Advanced Topics</scope>
<scope>2:Image Processing</scope>
</scopes>
<sm-arch>sm35</sm-arch>
<sm-arch>sm37</sm-arch>
<sm-arch>sm50</sm-arch>
<sm-arch>sm52</sm-arch>
<sm-arch>sm53</sm-arch>
<sm-arch>sm60</sm-arch>
<sm-arch>sm61</sm-arch>
<sm-arch>sm70</sm-arch>
<sm-arch>sm72</sm-arch>
<sm-arch>sm75</sm-arch>
<sm-arch>sm80</sm-arch>
<sm-arch>sm86</sm-arch>
<sm-arch>sm87</sm-arch>
<supported_envs>
<env>
<arch>x86_64</arch>
<platform>linux</platform>
</env>
<env>
<platform>windows7</platform>
</env>
<env>
<arch>x86_64</arch>
<platform>macosx</platform>
</env>
<env>
<arch>arm</arch>
</env>
<env>
<arch>sbsa</arch>
</env>
<env>
<arch>ppc64le</arch>
<platform>linux</platform>
</env>
</supported_envs>
<supported_sm_architectures>
<include>all</include>
</supported_sm_architectures>
<title>Optical Flow</title>
<type>exe</type>
<whitepaper>doc\OpticalFlow.pdf</whitepaper>
</entry>

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# HSOpticalFlow - Optical Flow
## Description
Variational optical flow estimation example. Uses textures for image operations. Shows how simple PDE solver can be accelerated with CUDA.
## Key Concepts
Image Processing, Data Parallel Algorithms
## Supported SM Architectures
[SM 3.5 ](https://developer.nvidia.com/cuda-gpus) [SM 3.7 ](https://developer.nvidia.com/cuda-gpus) [SM 5.0 ](https://developer.nvidia.com/cuda-gpus) [SM 5.2 ](https://developer.nvidia.com/cuda-gpus) [SM 5.3 ](https://developer.nvidia.com/cuda-gpus) [SM 6.0 ](https://developer.nvidia.com/cuda-gpus) [SM 6.1 ](https://developer.nvidia.com/cuda-gpus) [SM 7.0 ](https://developer.nvidia.com/cuda-gpus) [SM 7.2 ](https://developer.nvidia.com/cuda-gpus) [SM 7.5 ](https://developer.nvidia.com/cuda-gpus) [SM 8.0 ](https://developer.nvidia.com/cuda-gpus) [SM 8.6 ](https://developer.nvidia.com/cuda-gpus) [SM 8.7 ](https://developer.nvidia.com/cuda-gpus)
## Supported OSes
Linux, Windows
## Supported CPU Architecture
x86_64, ppc64le, armv7l
## CUDA APIs involved
### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
cudaMalloc, cudaMemset, cudaFree, cudaMemcpy
## Prerequisites
Download and install the [CUDA Toolkit 11.6](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
## Build and Run
### Windows
The Windows samples are built using the Visual Studio IDE. Solution files (.sln) are provided for each supported version of Visual Studio, using the format:
```
*_vs<version>.sln - for Visual Studio <version>
```
Each individual sample has its own set of solution files in its directory:
To build/examine all the samples at once, the complete solution files should be used. To build/examine a single sample, the individual sample solution files should be used.
> **Note:** Some samples require that the Microsoft DirectX SDK (June 2010 or newer) be installed and that the VC++ directory paths are properly set up (**Tools > Options...**). Check DirectX Dependencies section for details."
### Linux
The Linux samples are built using makefiles. To use the makefiles, change the current directory to the sample directory you wish to build, and run make:
```
$ cd <sample_dir>
$ make
```
The samples makefiles can take advantage of certain options:
* **TARGET_ARCH=<arch>** - cross-compile targeting a specific architecture. Allowed architectures are x86_64, ppc64le, armv7l.
By default, TARGET_ARCH is set to HOST_ARCH. On a x86_64 machine, not setting TARGET_ARCH is the equivalent of setting TARGET_ARCH=x86_64.<br/>
`$ make TARGET_ARCH=x86_64` <br/> `$ make TARGET_ARCH=ppc64le` <br/> `$ make TARGET_ARCH=armv7l` <br/>
See [here](http://docs.nvidia.com/cuda/cuda-samples/index.html#cross-samples) for more details.
* **dbg=1** - build with debug symbols
```
$ make dbg=1
```
* **SMS="A B ..."** - override the SM architectures for which the sample will be built, where `"A B ..."` is a space-delimited list of SM architectures. For example, to generate SASS for SM 50 and SM 60, use `SMS="50 60"`.
```
$ make SMS="50 60"
```
* **HOST_COMPILER=<host_compiler>** - override the default g++ host compiler. See the [Linux Installation Guide](http://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html#system-requirements) for a list of supported host compilers.
```
$ make HOST_COMPILER=g++
```
## References (for more details)
[whitepaper](./doc/OpticalFlow.pdf)

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief add two vectors of size _count_
///
/// CUDA kernel
/// \param[in] op1 term one
/// \param[in] op2 term two
/// \param[in] count vector size
/// \param[out] sum result
///////////////////////////////////////////////////////////////////////////////
__global__ void AddKernel(const float *op1, const float *op2, int count,
float *sum) {
const int pos = threadIdx.x + blockIdx.x * blockDim.x;
if (pos >= count) return;
sum[pos] = op1[pos] + op2[pos];
}
///////////////////////////////////////////////////////////////////////////////
/// \brief add two vectors of size _count_
/// \param[in] op1 term one
/// \param[in] op2 term two
/// \param[in] count vector size
/// \param[out] sum result
///////////////////////////////////////////////////////////////////////////////
static void Add(const float *op1, const float *op2, int count, float *sum) {
dim3 threads(256);
dim3 blocks(iDivUp(count, threads.x));
AddKernel<<<blocks, threads>>>(op1, op2, count, sum);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
///////////////////////////////////////////////////////////////////////////////
// Header for common includes and utility functions
///////////////////////////////////////////////////////////////////////////////
#ifndef COMMON_H
#define COMMON_H
///////////////////////////////////////////////////////////////////////////////
// Common includes
///////////////////////////////////////////////////////////////////////////////
#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <memory.h>
#include <math.h>
#include <helper_cuda.h>
///////////////////////////////////////////////////////////////////////////////
// Common constants
///////////////////////////////////////////////////////////////////////////////
const int StrideAlignment = 32;
///////////////////////////////////////////////////////////////////////////////
// Common functions
///////////////////////////////////////////////////////////////////////////////
// Align up n to the nearest multiple of m
inline int iAlignUp(int n, int m = StrideAlignment) {
int mod = n % m;
if (mod)
return n + m - mod;
else
return n;
}
// round up n/m
inline int iDivUp(int n, int m) { return (n + m - 1) / m; }
// swap two values
template <typename T>
inline void Swap(T &a, T &b) {
T t = a;
a = b;
b = t;
}
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief compute image derivatives
///
/// CUDA kernel, relies heavily on texture unit
/// \param[in] width image width
/// \param[in] height image height
/// \param[in] stride image stride
/// \param[out] Ix x derivative
/// \param[out] Iy y derivative
/// \param[out] Iz temporal derivative
///////////////////////////////////////////////////////////////////////////////
__global__ void ComputeDerivativesKernel(int width, int height, int stride,
float *Ix, float *Iy, float *Iz,
cudaTextureObject_t texSource,
cudaTextureObject_t texTarget) {
const int ix = threadIdx.x + blockIdx.x * blockDim.x;
const int iy = threadIdx.y + blockIdx.y * blockDim.y;
const int pos = ix + iy * stride;
if (ix >= width || iy >= height) return;
float dx = 1.0f / (float)width;
float dy = 1.0f / (float)height;
float x = ((float)ix + 0.5f) * dx;
float y = ((float)iy + 0.5f) * dy;
float t0, t1;
// x derivative
t0 = tex2D<float>(texSource, x - 2.0f * dx, y);
t0 -= tex2D<float>(texSource, x - 1.0f * dx, y) * 8.0f;
t0 += tex2D<float>(texSource, x + 1.0f * dx, y) * 8.0f;
t0 -= tex2D<float>(texSource, x + 2.0f * dx, y);
t0 /= 12.0f;
t1 = tex2D<float>(texTarget, x - 2.0f * dx, y);
t1 -= tex2D<float>(texTarget, x - 1.0f * dx, y) * 8.0f;
t1 += tex2D<float>(texTarget, x + 1.0f * dx, y) * 8.0f;
t1 -= tex2D<float>(texTarget, x + 2.0f * dx, y);
t1 /= 12.0f;
Ix[pos] = (t0 + t1) * 0.5f;
// t derivative
Iz[pos] = tex2D<float>(texTarget, x, y) - tex2D<float>(texSource, x, y);
// y derivative
t0 = tex2D<float>(texSource, x, y - 2.0f * dy);
t0 -= tex2D<float>(texSource, x, y - 1.0f * dy) * 8.0f;
t0 += tex2D<float>(texSource, x, y + 1.0f * dy) * 8.0f;
t0 -= tex2D<float>(texSource, x, y + 2.0f * dy);
t0 /= 12.0f;
t1 = tex2D<float>(texTarget, x, y - 2.0f * dy);
t1 -= tex2D<float>(texTarget, x, y - 1.0f * dy) * 8.0f;
t1 += tex2D<float>(texTarget, x, y + 1.0f * dy) * 8.0f;
t1 -= tex2D<float>(texTarget, x, y + 2.0f * dy);
t1 /= 12.0f;
Iy[pos] = (t0 + t1) * 0.5f;
}
///////////////////////////////////////////////////////////////////////////////
/// \brief compute image derivatives
///
/// \param[in] I0 source image
/// \param[in] I1 tracked image
/// \param[in] w image width
/// \param[in] h image height
/// \param[in] s image stride
/// \param[out] Ix x derivative
/// \param[out] Iy y derivative
/// \param[out] Iz temporal derivative
///////////////////////////////////////////////////////////////////////////////
static void ComputeDerivatives(const float *I0, const float *I1, int w, int h,
int s, float *Ix, float *Iy, float *Iz) {
dim3 threads(32, 6);
dim3 blocks(iDivUp(w, threads.x), iDivUp(h, threads.y));
cudaTextureObject_t texSource, texTarget;
cudaResourceDesc texRes;
memset(&texRes, 0, sizeof(cudaResourceDesc));
texRes.resType = cudaResourceTypePitch2D;
texRes.res.pitch2D.devPtr = (void *)I0;
texRes.res.pitch2D.desc = cudaCreateChannelDesc<float>();
texRes.res.pitch2D.width = w;
texRes.res.pitch2D.height = h;
texRes.res.pitch2D.pitchInBytes = s * sizeof(float);
cudaTextureDesc texDescr;
memset(&texDescr, 0, sizeof(cudaTextureDesc));
texDescr.normalizedCoords = true;
texDescr.filterMode = cudaFilterModeLinear;
texDescr.addressMode[0] = cudaAddressModeMirror;
texDescr.addressMode[1] = cudaAddressModeMirror;
texDescr.readMode = cudaReadModeElementType;
checkCudaErrors(
cudaCreateTextureObject(&texSource, &texRes, &texDescr, NULL));
memset(&texRes, 0, sizeof(cudaResourceDesc));
texRes.resType = cudaResourceTypePitch2D;
texRes.res.pitch2D.devPtr = (void *)I1;
texRes.res.pitch2D.desc = cudaCreateChannelDesc<float>();
texRes.res.pitch2D.width = w;
texRes.res.pitch2D.height = h;
texRes.res.pitch2D.pitchInBytes = s * sizeof(float);
checkCudaErrors(
cudaCreateTextureObject(&texTarget, &texRes, &texDescr, NULL));
ComputeDerivativesKernel<<<blocks, threads>>>(w, h, s, Ix, Iy, Iz, texSource,
texTarget);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief downscale image
///
/// CUDA kernel, relies heavily on texture unit
/// \param[in] width image width
/// \param[in] height image height
/// \param[in] stride image stride
/// \param[out] out result
///////////////////////////////////////////////////////////////////////////////
__global__ void DownscaleKernel(int width, int height, int stride, float *out,
cudaTextureObject_t texFine) {
const int ix = threadIdx.x + blockIdx.x * blockDim.x;
const int iy = threadIdx.y + blockIdx.y * blockDim.y;
if (ix >= width || iy >= height) {
return;
}
float dx = 1.0f / (float)width;
float dy = 1.0f / (float)height;
float x = ((float)ix + 0.5f) * dx;
float y = ((float)iy + 0.5f) * dy;
out[ix + iy * stride] = 0.25f * (tex2D<float>(texFine, x - dx * 0.25f, y) +
tex2D<float>(texFine, x + dx * 0.25f, y) +
tex2D<float>(texFine, x, y - dy * 0.25f) +
tex2D<float>(texFine, x, y + dy * 0.25f));
}
///////////////////////////////////////////////////////////////////////////////
/// \brief downscale image
///
/// \param[in] src image to downscale
/// \param[in] width image width
/// \param[in] height image height
/// \param[in] stride image stride
/// \param[out] out result
///////////////////////////////////////////////////////////////////////////////
static void Downscale(const float *src, int width, int height, int stride,
int newWidth, int newHeight, int newStride, float *out) {
dim3 threads(32, 8);
dim3 blocks(iDivUp(newWidth, threads.x), iDivUp(newHeight, threads.y));
cudaTextureObject_t texFine;
cudaResourceDesc texRes;
memset(&texRes, 0, sizeof(cudaResourceDesc));
texRes.resType = cudaResourceTypePitch2D;
texRes.res.pitch2D.devPtr = (void *)src;
texRes.res.pitch2D.desc = cudaCreateChannelDesc<float>();
texRes.res.pitch2D.width = width;
texRes.res.pitch2D.height = height;
texRes.res.pitch2D.pitchInBytes = stride * sizeof(float);
cudaTextureDesc texDescr;
memset(&texDescr, 0, sizeof(cudaTextureDesc));
texDescr.normalizedCoords = true;
texDescr.filterMode = cudaFilterModeLinear;
texDescr.addressMode[0] = cudaAddressModeMirror;
texDescr.addressMode[1] = cudaAddressModeMirror;
texDescr.readMode = cudaReadModeElementType;
checkCudaErrors(cudaCreateTextureObject(&texFine, &texRes, &texDescr, NULL));
DownscaleKernel<<<blocks, threads>>>(newWidth, newHeight, newStride, out,
texFine);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
// include kernels
#include "downscaleKernel.cuh"
#include "upscaleKernel.cuh"
#include "warpingKernel.cuh"
#include "derivativesKernel.cuh"
#include "solverKernel.cuh"
#include "addKernel.cuh"
///////////////////////////////////////////////////////////////////////////////
/// \brief method logic
///
/// handles memory allocations, control flow
/// \param[in] I0 source image
/// \param[in] I1 tracked image
/// \param[in] width images width
/// \param[in] height images height
/// \param[in] stride images stride
/// \param[in] alpha degree of displacement field smoothness
/// \param[in] nLevels number of levels in a pyramid
/// \param[in] nWarpIters number of warping iterations per pyramid level
/// \param[in] nSolverIters number of solver iterations (Jacobi iterations)
/// \param[out] u horizontal displacement
/// \param[out] v vertical displacement
///////////////////////////////////////////////////////////////////////////////
void ComputeFlowCUDA(const float *I0, const float *I1, int width, int height,
int stride, float alpha, int nLevels, int nWarpIters,
int nSolverIters, float *u, float *v) {
printf("Computing optical flow on GPU...\n");
// pI0 and pI1 will hold device pointers
const float **pI0 = new const float *[nLevels];
const float **pI1 = new const float *[nLevels];
int *pW = new int[nLevels];
int *pH = new int[nLevels];
int *pS = new int[nLevels];
// device memory pointers
float *d_tmp;
float *d_du0;
float *d_dv0;
float *d_du1;
float *d_dv1;
float *d_Ix;
float *d_Iy;
float *d_Iz;
float *d_u;
float *d_v;
float *d_nu;
float *d_nv;
const int dataSize = stride * height * sizeof(float);
checkCudaErrors(cudaMalloc(&d_tmp, dataSize));
checkCudaErrors(cudaMalloc(&d_du0, dataSize));
checkCudaErrors(cudaMalloc(&d_dv0, dataSize));
checkCudaErrors(cudaMalloc(&d_du1, dataSize));
checkCudaErrors(cudaMalloc(&d_dv1, dataSize));
checkCudaErrors(cudaMalloc(&d_Ix, dataSize));
checkCudaErrors(cudaMalloc(&d_Iy, dataSize));
checkCudaErrors(cudaMalloc(&d_Iz, dataSize));
checkCudaErrors(cudaMalloc(&d_u, dataSize));
checkCudaErrors(cudaMalloc(&d_v, dataSize));
checkCudaErrors(cudaMalloc(&d_nu, dataSize));
checkCudaErrors(cudaMalloc(&d_nv, dataSize));
// prepare pyramid
int currentLevel = nLevels - 1;
// allocate GPU memory for input images
checkCudaErrors(cudaMalloc(pI0 + currentLevel, dataSize));
checkCudaErrors(cudaMalloc(pI1 + currentLevel, dataSize));
checkCudaErrors(cudaMemcpy((void *)pI0[currentLevel], I0, dataSize,
cudaMemcpyHostToDevice));
checkCudaErrors(cudaMemcpy((void *)pI1[currentLevel], I1, dataSize,
cudaMemcpyHostToDevice));
pW[currentLevel] = width;
pH[currentLevel] = height;
pS[currentLevel] = stride;
for (; currentLevel > 0; --currentLevel) {
int nw = pW[currentLevel] / 2;
int nh = pH[currentLevel] / 2;
int ns = iAlignUp(nw);
checkCudaErrors(
cudaMalloc(pI0 + currentLevel - 1, ns * nh * sizeof(float)));
checkCudaErrors(
cudaMalloc(pI1 + currentLevel - 1, ns * nh * sizeof(float)));
Downscale(pI0[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], nw, nh, ns, (float *)pI0[currentLevel - 1]);
Downscale(pI1[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], nw, nh, ns, (float *)pI1[currentLevel - 1]);
pW[currentLevel - 1] = nw;
pH[currentLevel - 1] = nh;
pS[currentLevel - 1] = ns;
}
checkCudaErrors(cudaMemset(d_u, 0, stride * height * sizeof(float)));
checkCudaErrors(cudaMemset(d_v, 0, stride * height * sizeof(float)));
// compute flow
for (; currentLevel < nLevels; ++currentLevel) {
for (int warpIter = 0; warpIter < nWarpIters; ++warpIter) {
checkCudaErrors(cudaMemset(d_du0, 0, dataSize));
checkCudaErrors(cudaMemset(d_dv0, 0, dataSize));
checkCudaErrors(cudaMemset(d_du1, 0, dataSize));
checkCudaErrors(cudaMemset(d_dv1, 0, dataSize));
// on current level we compute optical flow
// between frame 0 and warped frame 1
WarpImage(pI1[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], d_u, d_v, d_tmp);
ComputeDerivatives(pI0[currentLevel], d_tmp, pW[currentLevel],
pH[currentLevel], pS[currentLevel], d_Ix, d_Iy, d_Iz);
for (int iter = 0; iter < nSolverIters; ++iter) {
SolveForUpdate(d_du0, d_dv0, d_Ix, d_Iy, d_Iz, pW[currentLevel],
pH[currentLevel], pS[currentLevel], alpha, d_du1, d_dv1);
Swap(d_du0, d_du1);
Swap(d_dv0, d_dv1);
}
// update u, v
Add(d_u, d_du0, pH[currentLevel] * pS[currentLevel], d_u);
Add(d_v, d_dv0, pH[currentLevel] * pS[currentLevel], d_v);
}
if (currentLevel != nLevels - 1) {
// prolongate solution
float scaleX = (float)pW[currentLevel + 1] / (float)pW[currentLevel];
Upscale(d_u, pW[currentLevel], pH[currentLevel], pS[currentLevel],
pW[currentLevel + 1], pH[currentLevel + 1], pS[currentLevel + 1],
scaleX, d_nu);
float scaleY = (float)pH[currentLevel + 1] / (float)pH[currentLevel];
Upscale(d_v, pW[currentLevel], pH[currentLevel], pS[currentLevel],
pW[currentLevel + 1], pH[currentLevel + 1], pS[currentLevel + 1],
scaleY, d_nv);
Swap(d_u, d_nu);
Swap(d_v, d_nv);
}
}
checkCudaErrors(cudaMemcpy(u, d_u, dataSize, cudaMemcpyDeviceToHost));
checkCudaErrors(cudaMemcpy(v, d_v, dataSize, cudaMemcpyDeviceToHost));
// cleanup
for (int i = 0; i < nLevels; ++i) {
checkCudaErrors(cudaFree((void *)pI0[i]));
checkCudaErrors(cudaFree((void *)pI1[i]));
}
delete[] pI0;
delete[] pI1;
delete[] pW;
delete[] pH;
delete[] pS;
checkCudaErrors(cudaFree(d_tmp));
checkCudaErrors(cudaFree(d_du0));
checkCudaErrors(cudaFree(d_dv0));
checkCudaErrors(cudaFree(d_du1));
checkCudaErrors(cudaFree(d_dv1));
checkCudaErrors(cudaFree(d_Ix));
checkCudaErrors(cudaFree(d_Iy));
checkCudaErrors(cudaFree(d_Iz));
checkCudaErrors(cudaFree(d_nu));
checkCudaErrors(cudaFree(d_nv));
checkCudaErrors(cudaFree(d_u));
checkCudaErrors(cudaFree(d_v));
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef FLOW_CUDA_H
#define FLOW_CUDA_H
void ComputeFlowCUDA(
const float *I0, // source frame
const float *I1, // tracked frame
int width, // frame width
int height, // frame height
int stride, // row access stride
float alpha, // smoothness coefficient
int nLevels, // number of levels in pyramid
int nWarpIters, // number of warping iterations per pyramid level
int nSolverIters, // number of solver iterations (for linear system)
float *u, // output horizontal flow
float *v); // output vertical flow
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
#include "flowGold.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief host texture fetch
///
/// read from arbitrary position within image using bilinear interpolation
/// out of range coords are mirrored
/// \param[in] t texture raw data
/// \param[in] w texture width
/// \param[in] h texture height
/// \param[in] s texture stride
/// \param[in] x x coord of the point to fetch value at
/// \param[in] y y coord of the point to fetch value at
/// \return fetched value
///////////////////////////////////////////////////////////////////////////////
inline float Tex2D(const float *t, int w, int h, int s, float x, float y) {
// integer parts in floating point format
float intPartX, intPartY;
// get fractional parts of coordinates
float dx = fabsf(modff(x, &intPartX));
float dy = fabsf(modff(y, &intPartY));
// assume pixels are squares
// one of the corners
int ix0 = (int)intPartX;
int iy0 = (int)intPartY;
// mirror out-of-range position
if (ix0 < 0) ix0 = abs(ix0 + 1);
if (iy0 < 0) iy0 = abs(iy0 + 1);
if (ix0 >= w) ix0 = w * 2 - ix0 - 1;
if (iy0 >= h) iy0 = h * 2 - iy0 - 1;
// corner which is opposite to (ix0, iy0)
int ix1 = ix0 + 1;
int iy1 = iy0 + 1;
if (ix1 >= w) ix1 = w * 2 - ix1 - 1;
if (iy1 >= h) iy1 = h * 2 - iy1 - 1;
float res = t[ix0 + iy0 * s] * (1.0f - dx) * (1.0f - dy);
res += t[ix1 + iy0 * s] * dx * (1.0f - dy);
res += t[ix0 + iy1 * s] * (1.0f - dx) * dy;
res += t[ix1 + iy1 * s] * dx * dy;
return res;
}
///////////////////////////////////////////////////////////////////////////////
/// \brief host texture fetch
///
/// read specific texel value
/// out of range coords are mirrored
/// \param[in] t texture raw data
/// \param[in] w texture width
/// \param[in] h texture height
/// \param[in] s texture stride
/// \param[in] x x coord of the point to fetch value at
/// \param[in] y y coord of the point to fetch value at
/// \return fetched value
///////////////////////////////////////////////////////////////////////////////
inline float Tex2Di(const float *src, int w, int h, int s, int x, int y) {
if (x < 0) x = abs(x + 1);
if (y < 0) y = abs(y + 1);
if (x >= w) x = w * 2 - x - 1;
if (y >= h) y = h * 2 - y - 1;
return src[x + y * s];
}
///////////////////////////////////////////////////////////////////////////////
/// \brief resize image
/// \param[in] src image to downscale
/// \param[in] width image width
/// \param[in] height image height
/// \param[in] stride image stride
/// \param[in] newWidth image new width
/// \param[in] newHeight image new height
/// \param[in] newStride image new stride
/// \param[out] out downscaled image data
///////////////////////////////////////////////////////////////////////////////
static void Downscale(const float *src, int width, int height, int stride,
int newWidth, int newHeight, int newStride, float *out) {
for (int i = 0; i < newHeight; ++i) {
for (int j = 0; j < newWidth; ++j) {
const int srcX = j * 2;
const int srcY = i * 2;
// average 4 neighbouring pixels
float sum;
sum = Tex2Di(src, width, height, stride, srcX + 0, srcY + 0);
sum += Tex2Di(src, width, height, stride, srcX + 0, srcY + 1);
sum += Tex2Di(src, width, height, stride, srcX + 1, srcY + 0);
sum += Tex2Di(src, width, height, stride, srcX + 1, srcY + 1);
// normalize
sum *= 0.25f;
out[j + i * newStride] = sum;
}
}
}
///////////////////////////////////////////////////////////////////////////////
/// \brief upscale one component of a displacement field
/// \param[in] src field component to upscale
/// \param[in] width field current width
/// \param[in] height field current height
/// \param[in] stride field current stride
/// \param[in] newWidth field new width
/// \param[in] newHeight field new height
/// \param[in] newStride field new stride
/// \param[in] scale value scale factor (multiplier)
/// \param[out] out upscaled field component
///////////////////////////////////////////////////////////////////////////////
static void Upscale(const float *src, int width, int height, int stride,
int newWidth, int newHeight, int newStride, float scale,
float *out) {
for (int i = 0; i < newHeight; ++i) {
for (int j = 0; j < newWidth; ++j) {
// position within smaller image
float x = ((float)j - 0.5f) * 0.5f;
float y = ((float)i - 0.5f) * 0.5f;
out[j + i * newStride] = Tex2D(src, width, height, stride, x, y) * scale;
}
}
}
///////////////////////////////////////////////////////////////////////////////
/// \brief warp image with provided vector field
///
/// For each output pixel there is a vector which tells which pixel
/// from a source image should be mapped to this particular output
/// pixel.
/// It is assumed that images and the vector field have the same stride and
/// resolution.
/// \param[in] src source image
/// \param[in] w width
/// \param[in] h height
/// \param[in] s stride
/// \param[in] u horizontal displacement
/// \param[in] v vertical displacement
/// \param[out] out warped image
///////////////////////////////////////////////////////////////////////////////
static void WarpImage(const float *src, int w, int h, int s, const float *u,
const float *v, float *out) {
for (int i = 0; i < h; ++i) {
for (int j = 0; j < w; ++j) {
const int pos = j + i * s;
// warped coords
float x = (float)j + u[pos];
float y = (float)i + v[pos];
out[pos] = Tex2D(src, w, h, s, x, y);
}
}
}
///////////////////////////////////////////////////////////////////////////////
/// \brief computes image derivatives for a pair of images
/// \param[in] I0 source image
/// \param[in] I1 tracked image
/// \param[in] w images width
/// \param[in] h images height
/// \param[in] s images stride
/// \param[out] Ix x derivative
/// \param[out] Iy y derivative
/// \param[out] Iz temporal derivative
///////////////////////////////////////////////////////////////////////////////
static void ComputeDerivatives(const float *I0, const float *I1, int w, int h,
int s, float *Ix, float *Iy, float *Iz) {
for (int i = 0; i < h; ++i) {
for (int j = 0; j < w; ++j) {
const int pos = j + i * s;
float t0, t1;
// derivative filter is (1, -8, 0, 8, -1)/12
// x derivative
t0 = Tex2Di(I0, w, h, s, j - 2, i);
t0 -= Tex2Di(I0, w, h, s, j - 1, i) * 8.0f;
t0 += Tex2Di(I0, w, h, s, j + 1, i) * 8.0f;
t0 -= Tex2Di(I0, w, h, s, j + 2, i);
t0 /= 12.0f;
t1 = Tex2Di(I1, w, h, s, j - 2, i);
t1 -= Tex2Di(I1, w, h, s, j - 1, i) * 8.0f;
t1 += Tex2Di(I1, w, h, s, j + 1, i) * 8.0f;
t1 -= Tex2Di(I1, w, h, s, j + 2, i);
t1 /= 12.0f;
// spatial derivatives are averaged
Ix[pos] = (t0 + t1) * 0.5f;
// t derivative
Iz[pos] = I1[pos] - I0[pos];
// y derivative
t0 = Tex2Di(I0, w, h, s, j, i - 2);
t0 -= Tex2Di(I0, w, h, s, j, i - 1) * 8.0f;
t0 += Tex2Di(I0, w, h, s, j, i + 1) * 8.0f;
t0 -= Tex2Di(I0, w, h, s, j, i + 2);
t0 /= 12.0f;
t1 = Tex2Di(I1, w, h, s, j, i - 2);
t1 -= Tex2Di(I1, w, h, s, j, i - 1) * 8.0f;
t1 += Tex2Di(I1, w, h, s, j, i + 1) * 8.0f;
t1 -= Tex2Di(I1, w, h, s, j, i + 2);
t1 /= 12.0f;
Iy[pos] = (t0 + t1) * 0.5f;
}
}
}
///////////////////////////////////////////////////////////////////////////////
/// \brief one iteration of classical Horn-Schunck method
///
/// It is one iteration of Jacobi method for a corresponding linear system
/// \param[in] du0 current horizontal displacement approximation
/// \param[in] dv0 current vertical displacement approximation
/// \param[in] Ix image x derivative
/// \param[in] Iy image y derivative
/// \param[in] Iz temporal derivative
/// \param[in] w width
/// \param[in] h height
/// \param[in] s stride
/// \param[in] alpha degree of smoothness
/// \param[out] du1 new horizontal displacement approximation
/// \param[out] dv1 new vertical displacement approximation
///////////////////////////////////////////////////////////////////////////////
static void SolveForUpdate(const float *du0, const float *dv0, const float *Ix,
const float *Iy, const float *Iz, int w, int h,
int s, float alpha, float *du1, float *dv1) {
for (int i = 0; i < h; ++i) {
for (int j = 0; j < w; ++j) {
const int pos = j + i * s;
int left, right, up, down;
// handle borders
if (j != 0)
left = pos - 1;
else
left = pos;
if (j != w - 1)
right = pos + 1;
else
right = pos;
if (i != 0)
down = pos - s;
else
down = pos;
if (i != h - 1)
up = pos + s;
else
up = pos;
float sumU = (du0[left] + du0[right] + du0[up] + du0[down]) * 0.25f;
float sumV = (dv0[left] + dv0[right] + dv0[up] + dv0[down]) * 0.25f;
float frac = (Ix[pos] * sumU + Iy[pos] * sumV + Iz[pos]) /
(Ix[pos] * Ix[pos] + Iy[pos] * Iy[pos] + alpha);
du1[pos] = sumU - Ix[pos] * frac;
dv1[pos] = sumV - Iy[pos] * frac;
}
}
}
///////////////////////////////////////////////////////////////////////////////
/// \brief method logic
///
/// handles memory allocation and control flow
/// \param[in] I0 source image
/// \param[in] I1 tracked image
/// \param[in] width images width
/// \param[in] height images height
/// \param[in] stride images stride
/// \param[in] alpha degree of displacement field smoothness
/// \param[in] nLevels number of levels in a pyramid
/// \param[in] nWarpIters number of warping iterations per pyramid level
/// \param[in] nSolverIters number of solver iterations (Jacobi iterations)
/// \param[out] u horizontal displacement
/// \param[out] v vertical displacement
///////////////////////////////////////////////////////////////////////////////
void ComputeFlowGold(const float *I0, const float *I1, int width, int height,
int stride, float alpha, int nLevels, int nWarpIters,
int nSolverIters, float *u, float *v) {
printf("Computing optical flow on CPU...\n");
float *u0 = u;
float *v0 = v;
const float **pI0 = new const float *[nLevels];
const float **pI1 = new const float *[nLevels];
int *pW = new int[nLevels];
int *pH = new int[nLevels];
int *pS = new int[nLevels];
const int pixelCountAligned = height * stride;
float *tmp = new float[pixelCountAligned];
float *du0 = new float[pixelCountAligned];
float *dv0 = new float[pixelCountAligned];
float *du1 = new float[pixelCountAligned];
float *dv1 = new float[pixelCountAligned];
float *Ix = new float[pixelCountAligned];
float *Iy = new float[pixelCountAligned];
float *Iz = new float[pixelCountAligned];
float *nu = new float[pixelCountAligned];
float *nv = new float[pixelCountAligned];
// prepare pyramid
int currentLevel = nLevels - 1;
pI0[currentLevel] = I0;
pI1[currentLevel] = I1;
pW[currentLevel] = width;
pH[currentLevel] = height;
pS[currentLevel] = stride;
for (; currentLevel > 0; --currentLevel) {
int nw = pW[currentLevel] / 2;
int nh = pH[currentLevel] / 2;
int ns = iAlignUp(nw);
pI0[currentLevel - 1] = new float[ns * nh];
pI1[currentLevel - 1] = new float[ns * nh];
Downscale(pI0[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], nw, nh, ns, (float *)pI0[currentLevel - 1]);
Downscale(pI1[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], nw, nh, ns, (float *)pI1[currentLevel - 1]);
pW[currentLevel - 1] = nw;
pH[currentLevel - 1] = nh;
pS[currentLevel - 1] = ns;
}
// initial approximation
memset(u, 0, stride * height * sizeof(float));
memset(v, 0, stride * height * sizeof(float));
// compute flow
for (; currentLevel < nLevels; ++currentLevel) {
for (int warpIter = 0; warpIter < nWarpIters; ++warpIter) {
memset(du0, 0, pixelCountAligned * sizeof(float));
memset(dv0, 0, pixelCountAligned * sizeof(float));
memset(du1, 0, pixelCountAligned * sizeof(float));
memset(dv1, 0, pixelCountAligned * sizeof(float));
WarpImage(pI1[currentLevel], pW[currentLevel], pH[currentLevel],
pS[currentLevel], u, v, tmp);
// on current level we compute optical flow
// between frame 0 and warped frame 1
ComputeDerivatives(pI0[currentLevel], tmp, pW[currentLevel],
pH[currentLevel], pS[currentLevel], Ix, Iy, Iz);
for (int iter = 0; iter < nSolverIters; ++iter) {
SolveForUpdate(du0, dv0, Ix, Iy, Iz, pW[currentLevel], pH[currentLevel],
pS[currentLevel], alpha, du1, dv1);
Swap(du0, du1);
Swap(dv0, dv1);
}
// update u, v
for (int i = 0; i < pH[currentLevel] * pS[currentLevel]; ++i) {
u[i] += du0[i];
v[i] += dv0[i];
}
} // end for (int warpIter = 0; warpIter < nWarpIters; ++warpIter)
if (currentLevel != nLevels - 1) {
// prolongate solution
float scaleX = (float)pW[currentLevel + 1] / (float)pW[currentLevel];
Upscale(u, pW[currentLevel], pH[currentLevel], pS[currentLevel],
pW[currentLevel + 1], pH[currentLevel + 1], pS[currentLevel + 1],
scaleX, nu);
float scaleY = (float)pH[currentLevel + 1] / (float)pH[currentLevel];
Upscale(v, pW[currentLevel], pH[currentLevel], pS[currentLevel],
pW[currentLevel + 1], pH[currentLevel + 1], pS[currentLevel + 1],
scaleY, nv);
Swap(u, nu);
Swap(v, nv);
}
} // end for (; currentLevel < nLevels; ++currentLevel)
if (u != u0) {
// solution is not in the specified array
// copy
memcpy(u0, u, pixelCountAligned * sizeof(float));
memcpy(v0, v, pixelCountAligned * sizeof(float));
Swap(u, nu);
Swap(v, nv);
}
// cleanup
// last level is not being freed here
// because it refers to input images
for (int i = 0; i < nLevels - 1; ++i) {
delete[] pI0[i];
delete[] pI1[i];
}
delete[] pI0;
delete[] pI1;
delete[] pW;
delete[] pH;
delete[] pS;
delete[] tmp;
delete[] du0;
delete[] dv0;
delete[] du1;
delete[] dv1;
delete[] Ix;
delete[] Iy;
delete[] Iz;
delete[] nu;
delete[] nv;
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef FLOW_GOLD_H
#define FLOW_GOLD_H
void ComputeFlowGold(
const float *I0, // source frame
const float *I1, // tracked frame
int width, // frame width
int height, // frame height
int stride, // row access stride
float alpha, // smoothness coefficient
int nLevels, // number of levels in pyramid
int nWarpIters, // number of warping iterations per pyramid level
int nIters, // number of solver iterations (for linear system)
float *u, // output horizontal flow
float *v); // output vertical flow
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
const static char *const sSDKsample = "HSOpticalFlow";
// CPU-GPU discrepancy threshold for self-test
const float THRESHOLD = 0.05f;
#include <cuda_runtime.h>
#include "common.h"
#include "flowGold.h"
#include "flowCUDA.h"
#include <helper_functions.h>
///////////////////////////////////////////////////////////////////////////////
/// \brief save optical flow in format described on vision.middlebury.edu/flow
/// \param[in] name output file name
/// \param[in] w optical flow field width
/// \param[in] h optical flow field height
/// \param[in] s optical flow field row stride
/// \param[in] u horizontal displacement
/// \param[in] v vertical displacement
///////////////////////////////////////////////////////////////////////////////
void WriteFloFile(const char *name, int w, int h, int s, const float *u,
const float *v) {
FILE *stream;
stream = fopen(name, "wb");
if (stream == 0) {
printf("Could not save flow to \"%s\"\n", name);
return;
}
float data = 202021.25f;
fwrite(&data, sizeof(float), 1, stream);
fwrite(&w, sizeof(w), 1, stream);
fwrite(&h, sizeof(h), 1, stream);
for (int i = 0; i < h; ++i) {
for (int j = 0; j < w; ++j) {
const int pos = j + i * s;
fwrite(u + pos, sizeof(float), 1, stream);
fwrite(v + pos, sizeof(float), 1, stream);
}
}
fclose(stream);
}
///////////////////////////////////////////////////////////////////////////////
/// \brief
/// load 4-channel unsigned byte image
/// and convert it to single channel FP32 image
/// \param[out] img_data pointer to raw image data
/// \param[out] img_w image width
/// \param[out] img_h image height
/// \param[out] img_s image row stride
/// \param[in] name image file name
/// \param[in] exePath executable file path
/// \return true if image is successfully loaded or false otherwise
///////////////////////////////////////////////////////////////////////////////
bool LoadImageAsFP32(float *&img_data, int &img_w, int &img_h, int &img_s,
const char *name, const char *exePath) {
printf("Loading \"%s\" ...\n", name);
char *name_ = sdkFindFilePath(name, exePath);
if (!name_) {
printf("File not found\n");
return false;
}
unsigned char *data = 0;
unsigned int w = 0, h = 0;
bool result = sdkLoadPPM4ub(name_, &data, &w, &h);
if (result == false) {
printf("Invalid file format\n");
return false;
}
img_w = w;
img_h = h;
img_s = iAlignUp(img_w);
img_data = new float[img_s * h];
// source is 4 channel image
const int widthStep = 4 * img_w;
for (int i = 0; i < img_h; ++i) {
for (int j = 0; j < img_w; ++j) {
img_data[j + i * img_s] = ((float)data[j * 4 + i * widthStep]) / 255.0f;
}
}
return true;
}
///////////////////////////////////////////////////////////////////////////////
/// \brief compare given flow field with gold (L1 norm)
/// \param[in] width optical flow field width
/// \param[in] height optical flow field height
/// \param[in] stride optical flow field row stride
/// \param[in] h_uGold horizontal displacement, gold
/// \param[in] h_vGold vertical displacement, gold
/// \param[in] h_u horizontal displacement
/// \param[in] h_v vertical displacement
/// \return true if discrepancy is lower than a given threshold
///////////////////////////////////////////////////////////////////////////////
bool CompareWithGold(int width, int height, int stride, const float *h_uGold,
const float *h_vGold, const float *h_u, const float *h_v) {
float error = 0.0f;
for (int i = 0; i < height; ++i) {
for (int j = 0; j < width; ++j) {
const int pos = j + i * stride;
error += fabsf(h_u[pos] - h_uGold[pos]) + fabsf(h_v[pos] - h_vGold[pos]);
}
}
error /= (float)(width * height);
printf("L1 error : %.6f\n", error);
return (error < THRESHOLD);
}
///////////////////////////////////////////////////////////////////////////////
/// application entry point
///////////////////////////////////////////////////////////////////////////////
int main(int argc, char **argv) {
// welcome message
printf("%s Starting...\n\n", sSDKsample);
// pick GPU
findCudaDevice(argc, (const char **)argv);
// find images
const char *const sourceFrameName = "frame10.ppm";
const char *const targetFrameName = "frame11.ppm";
// image dimensions
int width;
int height;
// row access stride
int stride;
// flow is computed from source image to target image
float *h_source; // source image, host memory
float *h_target; // target image, host memory
// load image from file
if (!LoadImageAsFP32(h_source, width, height, stride, sourceFrameName,
argv[0])) {
exit(EXIT_FAILURE);
}
if (!LoadImageAsFP32(h_target, width, height, stride, targetFrameName,
argv[0])) {
exit(EXIT_FAILURE);
}
// allocate host memory for CPU results
float *h_uGold = new float[stride * height];
float *h_vGold = new float[stride * height];
// allocate host memory for GPU results
float *h_u = new float[stride * height];
float *h_v = new float[stride * height];
// smoothness
// if image brightness is not within [0,1]
// this paramter should be scaled appropriately
const float alpha = 0.2f;
// number of pyramid levels
const int nLevels = 5;
// number of solver iterations on each level
const int nSolverIters = 500;
// number of warping iterations
const int nWarpIters = 3;
ComputeFlowGold(h_source, h_target, width, height, stride, alpha, nLevels,
nWarpIters, nSolverIters, h_uGold, h_vGold);
ComputeFlowCUDA(h_source, h_target, width, height, stride, alpha, nLevels,
nWarpIters, nSolverIters, h_u, h_v);
// compare results (L1 norm)
bool status =
CompareWithGold(width, height, stride, h_uGold, h_vGold, h_u, h_v);
WriteFloFile("FlowGPU.flo", width, height, stride, h_u, h_v);
WriteFloFile("FlowCPU.flo", width, height, stride, h_uGold, h_vGold);
// free resources
delete[] h_uGold;
delete[] h_vGold;
delete[] h_u;
delete[] h_v;
delete[] h_source;
delete[] h_target;
// report self-test status
exit(status ? EXIT_SUCCESS : EXIT_FAILURE);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
#include <cooperative_groups.h>
namespace cg = cooperative_groups;
///////////////////////////////////////////////////////////////////////////////
/// \brief one iteration of classical Horn-Schunck method, CUDA kernel.
///
/// It is one iteration of Jacobi method for a corresponding linear system.
/// Template parameters are describe CTA size
/// \param[in] du0 current horizontal displacement approximation
/// \param[in] dv0 current vertical displacement approximation
/// \param[in] Ix image x derivative
/// \param[in] Iy image y derivative
/// \param[in] Iz temporal derivative
/// \param[in] w width
/// \param[in] h height
/// \param[in] s stride
/// \param[in] alpha degree of smoothness
/// \param[out] du1 new horizontal displacement approximation
/// \param[out] dv1 new vertical displacement approximation
///////////////////////////////////////////////////////////////////////////////
template <int bx, int by>
__global__ void JacobiIteration(const float *du0, const float *dv0,
const float *Ix, const float *Iy,
const float *Iz, int w, int h, int s,
float alpha, float *du1, float *dv1) {
// Handle to thread block group
cg::thread_block cta = cg::this_thread_block();
volatile __shared__ float du[(bx + 2) * (by + 2)];
volatile __shared__ float dv[(bx + 2) * (by + 2)];
const int ix = threadIdx.x + blockIdx.x * blockDim.x;
const int iy = threadIdx.y + blockIdx.y * blockDim.y;
// position within global memory array
const int pos = min(ix, w - 1) + min(iy, h - 1) * s;
// position within shared memory array
const int shMemPos = threadIdx.x + 1 + (threadIdx.y + 1) * (bx + 2);
// Load data to shared memory.
// load tile being processed
du[shMemPos] = du0[pos];
dv[shMemPos] = dv0[pos];
// load necessary neighbouring elements
// We clamp out-of-range coordinates.
// It is equivalent to mirroring
// because we access data only one step away from borders.
if (threadIdx.y == 0) {
// beginning of the tile
const int bsx = blockIdx.x * blockDim.x;
const int bsy = blockIdx.y * blockDim.y;
// element position within matrix
int x, y;
// element position within linear array
// gm - global memory
// sm - shared memory
int gmPos, smPos;
x = min(bsx + threadIdx.x, w - 1);
// row just below the tile
y = max(bsy - 1, 0);
gmPos = y * s + x;
smPos = threadIdx.x + 1;
du[smPos] = du0[gmPos];
dv[smPos] = dv0[gmPos];
// row above the tile
y = min(bsy + by, h - 1);
smPos += (by + 1) * (bx + 2);
gmPos = y * s + x;
du[smPos] = du0[gmPos];
dv[smPos] = dv0[gmPos];
} else if (threadIdx.y == 1) {
// beginning of the tile
const int bsx = blockIdx.x * blockDim.x;
const int bsy = blockIdx.y * blockDim.y;
// element position within matrix
int x, y;
// element position within linear array
// gm - global memory
// sm - shared memory
int gmPos, smPos;
y = min(bsy + threadIdx.x, h - 1);
// column to the left
x = max(bsx - 1, 0);
smPos = bx + 2 + threadIdx.x * (bx + 2);
gmPos = x + y * s;
// check if we are within tile
if (threadIdx.x < by) {
du[smPos] = du0[gmPos];
dv[smPos] = dv0[gmPos];
// column to the right
x = min(bsx + bx, w - 1);
gmPos = y * s + x;
smPos += bx + 1;
du[smPos] = du0[gmPos];
dv[smPos] = dv0[gmPos];
}
}
cg::sync(cta);
if (ix >= w || iy >= h) return;
// now all necessary data are loaded to shared memory
int left, right, up, down;
left = shMemPos - 1;
right = shMemPos + 1;
up = shMemPos + bx + 2;
down = shMemPos - bx - 2;
float sumU = (du[left] + du[right] + du[up] + du[down]) * 0.25f;
float sumV = (dv[left] + dv[right] + dv[up] + dv[down]) * 0.25f;
float frac = (Ix[pos] * sumU + Iy[pos] * sumV + Iz[pos]) /
(Ix[pos] * Ix[pos] + Iy[pos] * Iy[pos] + alpha);
du1[pos] = sumU - Ix[pos] * frac;
dv1[pos] = sumV - Iy[pos] * frac;
}
///////////////////////////////////////////////////////////////////////////////
/// \brief one iteration of classical Horn-Schunck method, CUDA kernel wrapper.
///
/// It is one iteration of Jacobi method for a corresponding linear system.
/// \param[in] du0 current horizontal displacement approximation
/// \param[in] dv0 current vertical displacement approximation
/// \param[in] Ix image x derivative
/// \param[in] Iy image y derivative
/// \param[in] Iz temporal derivative
/// \param[in] w width
/// \param[in] h height
/// \param[in] s stride
/// \param[in] alpha degree of smoothness
/// \param[out] du1 new horizontal displacement approximation
/// \param[out] dv1 new vertical displacement approximation
///////////////////////////////////////////////////////////////////////////////
static void SolveForUpdate(const float *du0, const float *dv0, const float *Ix,
const float *Iy, const float *Iz, int w, int h,
int s, float alpha, float *du1, float *dv1) {
// CTA size
dim3 threads(32, 6);
// grid size
dim3 blocks(iDivUp(w, threads.x), iDivUp(h, threads.y));
JacobiIteration<32, 6><<<blocks, threads>>>(du0, dv0, Ix, Iy, Iz, w, h, s,
alpha, du1, dv1);
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief upscale one component of a displacement field, CUDA kernel
/// \param[in] width field width
/// \param[in] height field height
/// \param[in] stride field stride
/// \param[in] scale scale factor (multiplier)
/// \param[out] out result
///////////////////////////////////////////////////////////////////////////////
__global__ void UpscaleKernel(int width, int height, int stride, float scale,
float *out, cudaTextureObject_t texCoarse) {
const int ix = threadIdx.x + blockIdx.x * blockDim.x;
const int iy = threadIdx.y + blockIdx.y * blockDim.y;
if (ix >= width || iy >= height) return;
float x = ((float)ix + 0.5f) / (float)width;
float y = ((float)iy + 0.5f) / (float)height;
// exploit hardware interpolation
// and scale interpolated vector to match next pyramid level resolution
out[ix + iy * stride] = tex2D<float>(texCoarse, x, y) * scale;
}
///////////////////////////////////////////////////////////////////////////////
/// \brief upscale one component of a displacement field, kernel wrapper
/// \param[in] src field component to upscale
/// \param[in] width field current width
/// \param[in] height field current height
/// \param[in] stride field current stride
/// \param[in] newWidth field new width
/// \param[in] newHeight field new height
/// \param[in] newStride field new stride
/// \param[in] scale value scale factor (multiplier)
/// \param[out] out upscaled field component
///////////////////////////////////////////////////////////////////////////////
static void Upscale(const float *src, int width, int height, int stride,
int newWidth, int newHeight, int newStride, float scale,
float *out) {
dim3 threads(32, 8);
dim3 blocks(iDivUp(newWidth, threads.x), iDivUp(newHeight, threads.y));
cudaTextureObject_t texCoarse;
cudaResourceDesc texRes;
memset(&texRes, 0, sizeof(cudaResourceDesc));
texRes.resType = cudaResourceTypePitch2D;
texRes.res.pitch2D.devPtr = (void *)src;
texRes.res.pitch2D.desc = cudaCreateChannelDesc<float>();
texRes.res.pitch2D.width = width;
texRes.res.pitch2D.height = height;
texRes.res.pitch2D.pitchInBytes = stride * sizeof(float);
cudaTextureDesc texDescr;
memset(&texDescr, 0, sizeof(cudaTextureDesc));
texDescr.normalizedCoords = true;
texDescr.filterMode = cudaFilterModeLinear;
texDescr.addressMode[0] = cudaAddressModeMirror;
texDescr.addressMode[1] = cudaAddressModeMirror;
texDescr.readMode = cudaReadModeElementType;
checkCudaErrors(
cudaCreateTextureObject(&texCoarse, &texRes, &texDescr, NULL));
UpscaleKernel<<<blocks, threads>>>(newWidth, newHeight, newStride, scale, out,
texCoarse);
}

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@@ -0,0 +1,100 @@
/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "common.h"
///////////////////////////////////////////////////////////////////////////////
/// \brief warp image with a given displacement field, CUDA kernel.
/// \param[in] width image width
/// \param[in] height image height
/// \param[in] stride image stride
/// \param[in] u horizontal displacement
/// \param[in] v vertical displacement
/// \param[out] out result
///////////////////////////////////////////////////////////////////////////////
__global__ void WarpingKernel(int width, int height, int stride, const float *u,
const float *v, float *out,
cudaTextureObject_t texToWarp) {
const int ix = threadIdx.x + blockIdx.x * blockDim.x;
const int iy = threadIdx.y + blockIdx.y * blockDim.y;
const int pos = ix + iy * stride;
if (ix >= width || iy >= height) return;
float x = ((float)ix + u[pos] + 0.5f) / (float)width;
float y = ((float)iy + v[pos] + 0.5f) / (float)height;
out[pos] = tex2D<float>(texToWarp, x, y);
}
///////////////////////////////////////////////////////////////////////////////
/// \brief warp image with provided vector field, CUDA kernel wrapper.
///
/// For each output pixel there is a vector which tells which pixel
/// from a source image should be mapped to this particular output
/// pixel.
/// It is assumed that images and the vector field have the same stride and
/// resolution.
/// \param[in] src source image
/// \param[in] w width
/// \param[in] h height
/// \param[in] s stride
/// \param[in] u horizontal displacement
/// \param[in] v vertical displacement
/// \param[out] out warped image
///////////////////////////////////////////////////////////////////////////////
static void WarpImage(const float *src, int w, int h, int s, const float *u,
const float *v, float *out) {
dim3 threads(32, 6);
dim3 blocks(iDivUp(w, threads.x), iDivUp(h, threads.y));
cudaTextureObject_t texToWarp;
cudaResourceDesc texRes;
memset(&texRes, 0, sizeof(cudaResourceDesc));
texRes.resType = cudaResourceTypePitch2D;
texRes.res.pitch2D.devPtr = (void *)src;
texRes.res.pitch2D.desc = cudaCreateChannelDesc<float>();
texRes.res.pitch2D.width = w;
texRes.res.pitch2D.height = h;
texRes.res.pitch2D.pitchInBytes = s * sizeof(float);
cudaTextureDesc texDescr;
memset(&texDescr, 0, sizeof(cudaTextureDesc));
texDescr.normalizedCoords = true;
texDescr.filterMode = cudaFilterModeLinear;
texDescr.addressMode[0] = cudaAddressModeMirror;
texDescr.addressMode[1] = cudaAddressModeMirror;
texDescr.readMode = cudaReadModeElementType;
checkCudaErrors(
cudaCreateTextureObject(&texToWarp, &texRes, &texDescr, NULL));
WarpingKernel<<<blocks, threads>>>(w, h, s, u, v, out, texToWarp);
}

View File

@@ -0,0 +1,18 @@
{
"configurations": [
{
"name": "Linux",
"includePath": [
"${workspaceFolder}/**",
"${workspaceFolder}/../../../Common"
],
"defines": [],
"compilerPath": "/usr/local/cuda/bin/nvcc",
"cStandard": "gnu17",
"cppStandard": "gnu++14",
"intelliSenseMode": "linux-gcc-x64",
"configurationProvider": "ms-vscode.makefile-tools"
}
],
"version": 4
}

View File

@@ -0,0 +1,7 @@
{
"recommendations": [
"nvidia.nsight-vscode-edition",
"ms-vscode.cpptools",
"ms-vscode.makefile-tools"
]
}

View File

@@ -0,0 +1,10 @@
{
"configurations": [
{
"name": "CUDA C++: Launch",
"type": "cuda-gdb",
"request": "launch",
"program": "${workspaceFolder}/Mandelbrot"
}
]
}

View File

@@ -0,0 +1,15 @@
{
"version": "2.0.0",
"tasks": [
{
"label": "sample",
"type": "shell",
"command": "make dbg=1",
"problemMatcher": ["$nvcc"],
"group": {
"kind": "build",
"isDefault": true
}
}
]
}

View File

@@ -0,0 +1,368 @@
################################################################################
# Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of NVIDIA CORPORATION nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
# OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
################################################################################
#
# Makefile project only supported on Mac OS X and Linux Platforms)
#
################################################################################
# Location of the CUDA Toolkit
CUDA_PATH ?= /usr/local/cuda
##############################
# start deprecated interface #
##############################
ifeq ($(x86_64),1)
$(info WARNING - x86_64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=x86_64 instead)
TARGET_ARCH ?= x86_64
endif
ifeq ($(ARMv7),1)
$(info WARNING - ARMv7 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=armv7l instead)
TARGET_ARCH ?= armv7l
endif
ifeq ($(aarch64),1)
$(info WARNING - aarch64 variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=aarch64 instead)
TARGET_ARCH ?= aarch64
endif
ifeq ($(ppc64le),1)
$(info WARNING - ppc64le variable has been deprecated)
$(info WARNING - please use TARGET_ARCH=ppc64le instead)
TARGET_ARCH ?= ppc64le
endif
ifneq ($(GCC),)
$(info WARNING - GCC variable has been deprecated)
$(info WARNING - please use HOST_COMPILER=$(GCC) instead)
HOST_COMPILER ?= $(GCC)
endif
ifneq ($(abi),)
$(error ERROR - abi variable has been removed)
endif
############################
# end deprecated interface #
############################
# architecture
HOST_ARCH := $(shell uname -m)
TARGET_ARCH ?= $(HOST_ARCH)
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le armv7l))
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifneq (,$(filter $(TARGET_ARCH),x86_64 aarch64 sbsa ppc64le))
TARGET_SIZE := 64
else ifneq (,$(filter $(TARGET_ARCH),armv7l))
TARGET_SIZE := 32
endif
else
TARGET_SIZE := $(shell getconf LONG_BIT)
endif
else
$(error ERROR - unsupported value $(TARGET_ARCH) for TARGET_ARCH!)
endif
# sbsa and aarch64 systems look similar. Need to differentiate them at host level for now.
ifeq ($(HOST_ARCH),aarch64)
ifeq ($(CUDA_PATH)/targets/sbsa-linux,$(shell ls -1d $(CUDA_PATH)/targets/sbsa-linux 2>/dev/null))
HOST_ARCH := sbsa
TARGET_ARCH := sbsa
endif
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq (,$(filter $(HOST_ARCH)-$(TARGET_ARCH),aarch64-armv7l x86_64-armv7l x86_64-aarch64 x86_64-sbsa x86_64-ppc64le))
$(error ERROR - cross compiling from $(HOST_ARCH) to $(TARGET_ARCH) is not supported!)
endif
endif
# When on native aarch64 system with userspace of 32-bit, change TARGET_ARCH to armv7l
ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_SIZE),aarch64-aarch64-32)
TARGET_ARCH = armv7l
endif
# operating system
HOST_OS := $(shell uname -s 2>/dev/null | tr "[:upper:]" "[:lower:]")
TARGET_OS ?= $(HOST_OS)
ifeq (,$(filter $(TARGET_OS),linux darwin qnx android))
$(error ERROR - unsupported value $(TARGET_OS) for TARGET_OS!)
endif
# host compiler
ifeq ($(TARGET_OS),darwin)
ifeq ($(shell expr `xcodebuild -version | grep -i xcode | awk '{print $$2}' | cut -d'.' -f1` \>= 5),1)
HOST_COMPILER ?= clang++
endif
else ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(HOST_ARCH)-$(TARGET_ARCH),x86_64-armv7l)
ifeq ($(TARGET_OS),linux)
HOST_COMPILER ?= arm-linux-gnueabihf-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/arm-unknown-nto-qnx6.6.0eabi-g++
else ifeq ($(TARGET_OS),android)
HOST_COMPILER ?= arm-linux-androideabi-g++
endif
else ifeq ($(TARGET_ARCH),aarch64)
ifeq ($(TARGET_OS), linux)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_OS),qnx)
ifeq ($(QNX_HOST),)
$(error ERROR - QNX_HOST must be passed to the QNX host toolchain)
endif
ifeq ($(QNX_TARGET),)
$(error ERROR - QNX_TARGET must be passed to the QNX target toolchain)
endif
export QNX_HOST
export QNX_TARGET
HOST_COMPILER ?= $(QNX_HOST)/usr/bin/q++
else ifeq ($(TARGET_OS), android)
HOST_COMPILER ?= aarch64-linux-android-clang++
endif
else ifeq ($(TARGET_ARCH),sbsa)
HOST_COMPILER ?= aarch64-linux-gnu-g++
else ifeq ($(TARGET_ARCH),ppc64le)
HOST_COMPILER ?= powerpc64le-linux-gnu-g++
endif
endif
HOST_COMPILER ?= g++
NVCC := $(CUDA_PATH)/bin/nvcc -ccbin $(HOST_COMPILER)
# internal flags
NVCCFLAGS := -m${TARGET_SIZE}
CCFLAGS :=
LDFLAGS :=
# build flags
ifeq ($(TARGET_OS),darwin)
LDFLAGS += -rpath $(CUDA_PATH)/lib
CCFLAGS += -arch $(HOST_ARCH)
else ifeq ($(HOST_ARCH)-$(TARGET_ARCH)-$(TARGET_OS),x86_64-armv7l-linux)
LDFLAGS += --dynamic-linker=/lib/ld-linux-armhf.so.3
CCFLAGS += -mfloat-abi=hard
else ifeq ($(TARGET_OS),android)
LDFLAGS += -pie
CCFLAGS += -fpie -fpic -fexceptions
endif
ifneq ($(TARGET_ARCH),$(HOST_ARCH))
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/arm-linux-gnueabihf
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
ifneq ($(TARGET_FS),)
GCCVERSIONLTEQ46 := $(shell expr `$(HOST_COMPILER) -dumpversion` \<= 4.6)
ifeq ($(GCCVERSIONLTEQ46),1)
CCFLAGS += --sysroot=$(TARGET_FS)
endif
LDFLAGS += --sysroot=$(TARGET_FS)
LDFLAGS += -rpath-link=$(TARGET_FS)/lib -L$(TARGET_FS)/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/lib/aarch64-linux-gnu -L$(TARGET_FS)/lib/aarch64-linux-gnu
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib -L$(TARGET_FS)/usr/lib
LDFLAGS += -rpath-link=$(TARGET_FS)/usr/lib/aarch64-linux-gnu -L$(TARGET_FS)/usr/lib/aarch64-linux-gnu
LDFLAGS += --unresolved-symbols=ignore-in-shared-libs
CCFLAGS += -isystem=$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include -I$(TARGET_FS)/usr/include/libdrm
CCFLAGS += -isystem=$(TARGET_FS)/usr/include/aarch64-linux-gnu -I$(TARGET_FS)/usr/include/aarch64-linux-gnu
endif
endif
ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
NVCCFLAGS += -D_QNX_SOURCE
NVCCFLAGS += --qpp-config 8.3.0,gcc_ntoaarch64le
CCFLAGS += -DWIN_INTERFACE_CUSTOM -I/usr/include/aarch64-qnx-gnu
LDFLAGS += -lsocket
LDFLAGS += -L/usr/lib/aarch64-qnx-gnu
CCFLAGS += "-Wl\,-rpath-link\,/usr/lib/aarch64-qnx-gnu"
ifdef TARGET_OVERRIDE
LDFLAGS += -lslog2
endif
ifneq ($(TARGET_FS),)
LDFLAGS += -L$(TARGET_FS)/usr/lib
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/lib"
LDFLAGS += -L$(TARGET_FS)/usr/libnvidia
CCFLAGS += "-Wl\,-rpath-link\,$(TARGET_FS)/usr/libnvidia"
CCFLAGS += -I$(TARGET_FS)/../include
endif
endif
endif
ifdef TARGET_OVERRIDE # cuda toolkit targets override
NVCCFLAGS += -target-dir $(TARGET_OVERRIDE)
endif
# Install directory of different arch
CUDA_INSTALL_TARGET_DIR :=
ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-linux)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-gnueabihf/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-linux)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),sbsa-linux)
CUDA_INSTALL_TARGET_DIR = targets/sbsa-linux/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-android)
CUDA_INSTALL_TARGET_DIR = targets/armv7-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-android)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-linux-androideabi/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),armv7l-qnx)
CUDA_INSTALL_TARGET_DIR = targets/ARMv7-linux-QNX/
else ifeq ($(TARGET_ARCH)-$(TARGET_OS),aarch64-qnx)
CUDA_INSTALL_TARGET_DIR = targets/aarch64-qnx/
else ifeq ($(TARGET_ARCH),ppc64le)
CUDA_INSTALL_TARGET_DIR = targets/ppc64le-linux/
endif
# Debug build flags
ifeq ($(dbg),1)
NVCCFLAGS += -g -G
BUILD_TYPE := debug
else
BUILD_TYPE := release
endif
ALL_CCFLAGS :=
ALL_CCFLAGS += $(NVCCFLAGS)
ALL_CCFLAGS += $(EXTRA_NVCCFLAGS)
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(CCFLAGS))
ALL_CCFLAGS += $(addprefix -Xcompiler ,$(EXTRA_CCFLAGS))
SAMPLE_ENABLED := 1
# This sample is not supported on QNX
ifeq ($(TARGET_OS),qnx)
$(info >>> WARNING - Mandelbrot is not supported on QNX - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ALL_LDFLAGS :=
ALL_LDFLAGS += $(ALL_CCFLAGS)
ALL_LDFLAGS += $(addprefix -Xlinker ,$(LDFLAGS))
ALL_LDFLAGS += $(addprefix -Xlinker ,$(EXTRA_LDFLAGS))
# Common includes and paths for CUDA
INCLUDES := -I../../../Common
LIBRARIES :=
################################################################################
# Makefile include to help find GL Libraries
include ./findgllib.mk
# OpenGL specific libraries
ifeq ($(TARGET_OS),darwin)
# Mac OSX specific libraries and paths to include
LIBRARIES += -L/System/Library/Frameworks/OpenGL.framework/Libraries
LIBRARIES += -lGL -lGLU
ALL_LDFLAGS += -Xlinker -framework -Xlinker GLUT
else
LIBRARIES += $(GLLINK)
LIBRARIES += -lGL -lGLU -lglut
endif
# Gencode arguments
ifeq ($(TARGET_ARCH),$(filter $(TARGET_ARCH),armv7l aarch64 sbsa))
SMS ?= 53 61 70 72 75 80 86 87
else
SMS ?= 35 37 50 52 60 61 70 75 80 86
endif
ifeq ($(SMS),)
$(info >>> WARNING - no SM architectures have been specified - waiving sample <<<)
SAMPLE_ENABLED := 0
endif
ifeq ($(GENCODE_FLAGS),)
# Generate SASS code for each SM architecture listed in $(SMS)
$(foreach sm,$(SMS),$(eval GENCODE_FLAGS += -gencode arch=compute_$(sm),code=sm_$(sm)))
# Generate PTX code from the highest SM architecture in $(SMS) to guarantee forward-compatibility
HIGHEST_SM := $(lastword $(sort $(SMS)))
ifneq ($(HIGHEST_SM),)
GENCODE_FLAGS += -gencode arch=compute_$(HIGHEST_SM),code=compute_$(HIGHEST_SM)
endif
endif
ALL_CCFLAGS += --threads 0 --std=c++11
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: Mandelbrot
check.deps:
ifeq ($(SAMPLE_ENABLED),0)
@echo "Sample will be waived due to the above missing dependencies"
else
@echo "Sample is ready - all dependencies have been met"
endif
Mandelbrot.o:Mandelbrot.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
Mandelbrot_cuda.o:Mandelbrot_cuda.cu
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
Mandelbrot_gold.o:Mandelbrot_gold.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
Mandelbrot: Mandelbrot.o Mandelbrot_cuda.o Mandelbrot_gold.o
$(EXEC) $(NVCC) $(ALL_LDFLAGS) $(GENCODE_FLAGS) -o $@ $+ $(LIBRARIES)
$(EXEC) mkdir -p ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
$(EXEC) cp $@ ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)
run: build
$(EXEC) ./Mandelbrot
testrun: build
$(EXEC) ./Mandelbrot -mode=0 -file=Mandelbrot_fp32.ppm
$(EXEC) ./Mandelbrot -mode=1 -file=referenceJulia_fp32.ppm
clean:
rm -f Mandelbrot Mandelbrot.o Mandelbrot_cuda.o Mandelbrot_gold.o
rm -rf ../../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/Mandelbrot
clobber: clean

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@@ -0,0 +1,394 @@
/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include <stdio.h>
#include "helper_cuda.h"
#include "Mandelbrot_kernel.h"
#include "Mandelbrot_kernel.cuh"
// The Mandelbrot CUDA GPU thread function
template <class T>
__global__ void Mandelbrot0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const T xOff, const T yOff,
const T xJP, const T yJP, const T scale,
const uchar4 colors, const int frame,
const int animationFrame, const int gridWidth,
const int numBlocks, const bool isJ) {
// loop until all blocks completed
for (unsigned int blockIndex = blockIdx.x; blockIndex < numBlocks;
blockIndex += gridDim.x) {
unsigned int blockX = blockIndex % gridWidth;
unsigned int blockY = blockIndex / gridWidth;
// process this block
const int ix = blockDim.x * blockX + threadIdx.x;
const int iy = blockDim.y * blockY + threadIdx.y;
if ((ix < imageW) && (iy < imageH)) {
// Calculate the location
const T xPos = (T)ix * scale + xOff;
const T yPos = (T)iy * scale + yOff;
// Calculate the Mandelbrot index for the current location
int m = CalcMandelbrot<T>(xPos, yPos, xJP, yJP, crunch, isJ);
// int m = blockIdx.x; // uncomment to see scheduling
// order
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
if (m) {
m += animationFrame;
color.x = m * colors.x;
color.y = m * colors.y;
color.z = m * colors.z;
} else {
color.x = 0;
color.y = 0;
color.z = 0;
}
// Output the pixel
int pixel = imageW * iy + ix;
if (frame == 0) {
color.w = 0;
dst[pixel] = color;
} else {
int frame1 = frame + 1;
int frame2 = frame1 / 2;
dst[pixel].x = (dst[pixel].x * frame + color.x + frame2) / frame1;
dst[pixel].y = (dst[pixel].y * frame + color.y + frame2) / frame1;
dst[pixel].z = (dst[pixel].z * frame + color.z + frame2) / frame1;
}
}
}
} // Mandelbrot0
// The Mandelbrot CUDA GPU thread function (double single version)
__global__ void MandelbrotDS0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const float xOff0,
const float xOff1, const float yOff0,
const float yOff1, const float xJP,
const float yJP, const float scale,
const uchar4 colors, const int frame,
const int animationFrame, const int gridWidth,
const int numBlocks, const bool isJ) {
// loop until all blocks completed
for (unsigned int blockIndex = blockIdx.x; blockIndex < numBlocks;
blockIndex += gridDim.x) {
unsigned int blockX = blockIndex % gridWidth;
unsigned int blockY = blockIndex / gridWidth;
// process this block
const int ix = blockDim.x * blockX + threadIdx.x;
const int iy = blockDim.y * blockY + threadIdx.y;
if ((ix < imageW) && (iy < imageH)) {
// Calculate the location
float xPos0 = (float)ix * scale;
float xPos1 = 0.0f;
float yPos0 = (float)iy * scale;
float yPos1 = 0.0f;
dsadd(xPos0, xPos1, xPos0, xPos1, xOff0, xOff1);
dsadd(yPos0, yPos1, yPos0, yPos1, yOff0, yOff1);
// Calculate the Mandelbrot index for the current location
int m =
CalcMandelbrotDS(xPos0, xPos1, yPos0, yPos1, xJP, yJP, crunch, isJ);
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
if (m) {
m += animationFrame;
color.x = m * colors.x;
color.y = m * colors.y;
color.z = m * colors.z;
} else {
color.x = 0;
color.y = 0;
color.z = 0;
}
// Output the pixel
int pixel = imageW * iy + ix;
if (frame == 0) {
color.w = 0;
dst[pixel] = color;
} else {
int frame1 = frame + 1;
int frame2 = frame1 / 2;
dst[pixel].x = (dst[pixel].x * frame + color.x + frame2) / frame1;
dst[pixel].y = (dst[pixel].y * frame + color.y + frame2) / frame1;
dst[pixel].z = (dst[pixel].z * frame + color.z + frame2) / frame1;
}
}
}
} // MandelbrotDS0
// The Mandelbrot secondary AA pass CUDA GPU thread function
template <class T>
__global__ void Mandelbrot1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const T xOff, const T yOff,
const T xJP, const T yJP, const T scale,
const uchar4 colors, const int frame,
const int animationFrame, const int gridWidth,
const int numBlocks, const bool isJ) {
// loop until all blocks completed
for (unsigned int blockIndex = blockIdx.x; blockIndex < numBlocks;
blockIndex += gridDim.x) {
unsigned int blockX = blockIndex % gridWidth;
unsigned int blockY = blockIndex / gridWidth;
// process this block
const int ix = blockDim.x * blockX + threadIdx.x;
const int iy = blockDim.y * blockY + threadIdx.y;
if ((ix < imageW) && (iy < imageH)) {
// Get the current pixel color
int pixel = imageW * iy + ix;
uchar4 pixelColor = dst[pixel];
int count = 0;
// Search for pixels out of tolerance surrounding the current pixel
if (ix > 0) {
count += CheckColors(pixelColor, dst[pixel - 1]);
}
if (ix + 1 < imageW) {
count += CheckColors(pixelColor, dst[pixel + 1]);
}
if (iy > 0) {
count += CheckColors(pixelColor, dst[pixel - imageW]);
}
if (iy + 1 < imageH) {
count += CheckColors(pixelColor, dst[pixel + imageW]);
}
if (count) {
// Calculate the location
const T xPos = (T)ix * scale + xOff;
const T yPos = (T)iy * scale + yOff;
// Calculate the Mandelbrot index for the current location
int m = CalcMandelbrot(xPos, yPos, xJP, yJP, crunch, isJ);
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
if (m) {
m += animationFrame;
color.x = m * colors.x;
color.y = m * colors.y;
color.z = m * colors.z;
} else {
color.x = 0;
color.y = 0;
color.z = 0;
}
// Output the pixel
int frame1 = frame + 1;
int frame2 = frame1 / 2;
dst[pixel].x = (pixelColor.x * frame + color.x + frame2) / frame1;
dst[pixel].y = (pixelColor.y * frame + color.y + frame2) / frame1;
dst[pixel].z = (pixelColor.z * frame + color.z + frame2) / frame1;
}
}
}
} // Mandelbrot1
// The Mandelbrot secondary AA pass CUDA GPU thread function (double single
// version)
__global__ void MandelbrotDS1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const float xOff0,
const float xOff1, const float yOff0,
const float yOff1, const float xJP,
const float yJP, const float scale,
const uchar4 colors, const int frame,
const int animationFrame, const int gridWidth,
const int numBlocks, const bool isJ) {
// loop until all blocks completed
for (unsigned int blockIndex = blockIdx.x; blockIndex < numBlocks;
blockIndex += gridDim.x) {
unsigned int blockX = blockIndex % gridWidth;
unsigned int blockY = blockIndex / gridWidth;
// process this block
const int ix = blockDim.x * blockX + threadIdx.x;
const int iy = blockDim.y * blockY + threadIdx.y;
if ((ix < imageW) && (iy < imageH)) {
// Get the current pixel color
int pixel = imageW * iy + ix;
uchar4 pixelColor = dst[pixel];
int count = 0;
// Search for pixels out of tolerance surrounding the current pixel
if (ix > 0) {
count += CheckColors(pixelColor, dst[pixel - 1]);
}
if (ix + 1 < imageW) {
count += CheckColors(pixelColor, dst[pixel + 1]);
}
if (iy > 0) {
count += CheckColors(pixelColor, dst[pixel - imageW]);
}
if (iy + 1 < imageH) {
count += CheckColors(pixelColor, dst[pixel + imageW]);
}
if (count) {
// Calculate the location
float xPos0 = (float)ix * scale;
float xPos1 = 0.0f;
float yPos0 = (float)iy * scale;
float yPos1 = 0.0f;
dsadd(xPos0, xPos1, xPos0, xPos1, xOff0, xOff1);
dsadd(yPos0, yPos1, yPos0, yPos1, yOff0, yOff1);
// Calculate the Mandelbrot index for the current location
int m =
CalcMandelbrotDS(xPos0, xPos1, yPos0, yPos1, xJP, yJP, crunch, isJ);
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
if (m) {
m += animationFrame;
color.x = m * colors.x;
color.y = m * colors.y;
color.z = m * colors.z;
} else {
color.x = 0;
color.y = 0;
color.z = 0;
}
// Output the pixel
int frame1 = frame + 1;
int frame2 = frame1 / 2;
dst[pixel].x = (pixelColor.x * frame + color.x + frame2) / frame1;
dst[pixel].y = (pixelColor.y * frame + color.y + frame2) / frame1;
dst[pixel].z = (pixelColor.z * frame + color.z + frame2) / frame1;
}
}
}
} // MandelbrotDS1
// The host CPU Mandelbrot thread spawner
void RunMandelbrot0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff, const double yOff,
const double xjp, const double yjp, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const int mode, const int numSMs,
const bool isJ, int version) {
dim3 threads(BLOCKDIM_X, BLOCKDIM_Y);
dim3 grid(iDivUp(imageW, BLOCKDIM_X), iDivUp(imageH, BLOCKDIM_Y));
int numWorkerBlocks = numSMs;
switch (mode) {
default:
case 0:
Mandelbrot0<float><<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, (float)xOff, (float)yOff, (float)xjp,
(float)yjp, (float)scale, colors, frame, animationFrame, grid.x,
grid.x * grid.y, isJ);
break;
case 1:
float x0, x1, y0, y1;
dsdeq(x0, x1, xOff);
dsdeq(y0, y1, yOff);
MandelbrotDS0<<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, x0, x1, y0, y1, (float)xjp, (float)yjp,
(float)scale, colors, frame, animationFrame, grid.x, grid.x * grid.y,
isJ);
break;
case 2:
Mandelbrot0<double><<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, xOff, yOff, xjp, yjp, scale, colors,
frame, animationFrame, grid.x, grid.x * grid.y, isJ);
break;
}
getLastCudaError("Mandelbrot0 kernel execution failed.\n");
} // RunMandelbrot0
// The host CPU Mandelbrot thread spawner
void RunMandelbrot1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff, const double yOff,
const double xjp, const double yjp, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const int mode, const int numSMs,
const bool isJ, int version) {
dim3 threads(BLOCKDIM_X, BLOCKDIM_Y);
dim3 grid(iDivUp(imageW, BLOCKDIM_X), iDivUp(imageH, BLOCKDIM_Y));
int numWorkerBlocks = numSMs;
switch (mode) {
default:
case 0:
Mandelbrot1<float><<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, (float)xOff, (float)yOff, (float)xjp,
(float)yjp, (float)scale, colors, frame, animationFrame, grid.x,
grid.x * grid.y, isJ);
break;
case 1:
float x0, x1, y0, y1;
dsdeq(x0, x1, xOff);
dsdeq(y0, y1, yOff);
MandelbrotDS1<<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, x0, x1, y0, y1, (float)xjp, (float)yjp,
(float)scale, colors, frame, animationFrame, grid.x, grid.x * grid.y,
isJ);
break;
case 2:
Mandelbrot1<double><<<numWorkerBlocks, threads>>>(
dst, imageW, imageH, crunch, xOff, yOff, xjp, yjp, scale, colors,
frame, animationFrame, grid.x, grid.x * grid.y, isJ);
break;
}
getLastCudaError("Mandelbrot1 kernel execution failed.\n");
} // RunMandelbrot1

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "Mandelbrot_gold.h"
#define ABS(n) ((n) < 0 ? -(n) : (n))
/* dfloat class declaration */
class dfloat {
private:
float val[2];
public:
dfloat() { val[0] = val[1] = 0; }
dfloat(float a, float b) {
val[0] = a;
val[1] = b;
}
dfloat(double b);
inline float operator[](unsigned idx) const { return val[idx]; }
};
inline dfloat operator+(const dfloat &dsa, const dfloat &dsb);
inline dfloat operator-(const dfloat &dsa, const dfloat &dsb);
inline dfloat operator*(const dfloat &dsa, const dfloat &dsb);
inline int operator<(const dfloat &a, float b) { return a[0] < b; }
// The core Mandelbrot calculation function template
template <class T>
inline int CalcMandelbrot(const T xPos, const T yPos, const T xJParam,
const T yJParam, const int crunch,
const bool isJulia) {
T x, y, xx, yy, xC, yC;
int i = crunch;
if (isJulia) {
xC = xJParam;
yC = yJParam;
y = yPos;
x = xPos;
yy = y * y;
xx = x * x;
} else {
xC = xPos;
yC = yPos;
x = y = 0;
xx = yy = 0;
}
while (--i && (xx + yy < 4.0f)) {
y = x * y + x * y + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
}
return i;
} // CalcMandelbrot
inline void updatePixel(uchar4 &dst, const uchar4 &color, int frame) {
int frame1 = frame + 1;
int frame2 = frame1 / 2;
dst.x = (dst.x * frame + color.x + frame2) / frame1;
dst.y = (dst.y * frame + color.y + frame2) / frame1;
dst.z = (dst.z * frame + color.z + frame2) / frame1;
}
inline void setColor(uchar4 &dst, const uchar4 &colors, int &m,
const int animationFrame) {
if (m == 0) {
dst.x = 0;
dst.y = 0;
dst.z = 0;
return;
}
m += animationFrame;
dst.x = m * colors.x;
dst.y = m * colors.y;
dst.z = m * colors.z;
}
template <class T, class T_>
void runMandelbrotGold0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const T xOff, const T yOff,
const T xJParam, const T yJParam, const T scale,
const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
for (int iy = 0; iy < imageH; iy++)
for (int ix = 0; ix < imageW; ix++) {
// Calculate the location
const T_ xPos = (T)ix * scale + xOff;
const T_ yPos = (T)iy * scale + yOff;
// Calculate the Mandelbrot index for the current location
int m = CalcMandelbrot<T_>(xPos, yPos, xJParam, yJParam, crunch, isJulia);
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
setColor(color, colors, m, animationFrame);
// Output the pixel
int pixel = imageW * iy + ix;
if (frame == 0) {
color.w = 0;
dst[pixel] = color;
} else
updatePixel(dst[pixel], color, frame);
}
} // runMandelbrotGold0_
// Determine if two pixel colors are within tolerance
inline int CheckColors(const uchar4 &color0, const uchar4 &color1) {
int x = color1.x - color0.x;
int y = color1.y - color0.y;
int z = color1.z - color0.z;
return (ABS(x) > 10) || (ABS(y) > 10) || (ABS(z) > 10);
} // CheckColors
template <class T, class T_>
void runMandelbrotGold1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const T xOff, const T yOff,
const T xJParam, const T yJParam, const T scale,
const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
for (int iy = 0; iy < imageH; iy++)
for (int ix = 0; ix < imageW; ix++) {
// Get the current pixel color
int pixel = imageW * iy + ix;
uchar4 pixelColor = dst[pixel];
int count = 0;
// Search for pixels out of tolerance surrounding the current pixel
if (ix > 0) count += CheckColors(pixelColor, dst[pixel - 1]);
if (ix + 1 < imageW) count += CheckColors(pixelColor, dst[pixel + 1]);
if (iy > 0) count += CheckColors(pixelColor, dst[pixel - imageW]);
if (iy + 1 < imageH)
count += CheckColors(pixelColor, dst[pixel + imageW]);
if (count) {
// Calculate the location
const T_ xPos = (T)ix * scale + xOff;
const T_ yPos = (T)iy * scale + yOff;
// Calculate the Mandelbrot index for the current location
int m =
CalcMandelbrot<T_>(xPos, yPos, xJParam, yJParam, crunch, isJulia);
m = m > 0 ? crunch - m : 0;
// Convert the Mandelbrot index into a color
uchar4 color;
setColor(color, colors, m, animationFrame);
// Output the pixel
updatePixel(dst[pixel], color, frame);
}
}
} // RunMandelbrotGold1_
/* Implementation of exported functions */
void RunMandelbrotGold1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const float xOff, const float yOff,
const float xJParam, const float yJParam,
const float scale, const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
runMandelbrotGold1<float, float>(dst, imageW, imageH, crunch, xOff, yOff,
xJParam, yJParam, scale, colors, frame,
animationFrame, isJulia);
} // RunMandelbrotGold1
void RunMandelbrotDSGold1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff,
const double yOff, const double xJParam,
const double yJParam, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
runMandelbrotGold1<double, dfloat>(dst, imageW, imageH, crunch, xOff, yOff,
xJParam, yJParam, scale, colors, frame,
animationFrame, isJulia);
} // RunMandelbrotDSGold1
void RunMandelbrotGold0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const float xOff, const float yOff,
const float xJParam, const float yJParam,
const float scale, const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
runMandelbrotGold0<float, float>(dst, imageW, imageH, crunch, xOff, yOff,
xJParam, yJParam, scale, colors, frame,
animationFrame, isJulia);
} // RunMandelbrotGold0
void RunMandelbrotDSGold0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff,
const double yOff, const double xJParam,
const double yJParam, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const bool isJulia) {
runMandelbrotGold0<double, dfloat>(dst, imageW, imageH, crunch, xOff, yOff,
xJParam, yJParam, scale, colors, frame,
animationFrame, isJulia);
} // RunMandelbrotDSGold0
/*dfloat operations implementation */
/* Construct a DS number equal to a double precision floating point number b*/
dfloat::dfloat(double b) {
val[0] = (float)b;
val[1] = (float)(b - val[0]);
}
inline dfloat operator+(const dfloat &dsa, const dfloat &dsb) {
// Compute dsa + dsb using Knuth's trick.
float t1 = dsa[0] + dsb[0];
float e = t1 - dsa[0];
float t2 = ((dsb[0] - e) + (dsa[0] - (t1 - e))) + dsa[1] + dsb[1];
// The result is t1 + t2, after normalization.
e = t1 + t2;
return dfloat(e, t2 - (e - t1));
}
inline dfloat operator-(const dfloat &dsa, const dfloat &dsb) {
// Compute dsa - dsb using Knuth's trick.
float t1 = dsa[0] - dsb[0];
float e = t1 - dsa[0];
float t2 = ((-dsb[0] - e) + (dsa[0] - (t1 - e))) + dsa[1] - dsb[1];
// The result is t1 + t2, after normalization.
e = t1 + t2;
return dfloat(e, t2 - (e - t1));
}
inline dfloat operator*(const dfloat &dsa, const dfloat &dsb) {
// This splits dsa(1) and dsb(1) into high-order and low-order words.
float c11 = dsa[0] * dsb[0];
float c21 = dsa[0] * dsb[0] - c11;
// Compute dsa[0] * dsb[1] + dsa[1] * dsb[0] (only high-order word is needed).
float c2 = dsa[0] * dsb[1] + dsa[1] * dsb[0];
// Compute (c11, c21) + c2 using Knuth's trick, also adding low-order product.
float t1 = c11 + c2;
float e = t1 - c11;
float t2 = ((c2 - e) + (c11 - (t1 - e))) + c21 + dsa[1] * dsb[1];
// The result is t1 + t2, after normalization.
e = t1 + t2;
return dfloat(e, t2 - (e - t1));
}

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef _MANDELBROT_GOLD_h_
#define _MANDELBROT_GOLD_h_
#include <vector_types.h>
extern "C" void RunMandelbrotGold0(uchar4 *dst, const int imageW,
const int imageH, const int crunch,
const float xOff, const float yOff,
const float xJParam, const float yJParam,
const float scale, const uchar4 colors,
const int frame, const int animationFrame,
const bool isJulia);
extern "C" void RunMandelbrotDSGold0(uchar4 *dst, const int imageW,
const int imageH, const int crunch,
const double xOff, const double yOff,
const double xJParam, const double yJParam,
const double scale, const uchar4 colors,
const int frame, const int animationFrame,
const bool isJulia);
extern "C" void RunMandelbrotGold1(uchar4 *dst, const int imageW,
const int imageH, const int crunch,
const float xOff, const float yOff,
const float xJParam, const float yJParam,
const float scale, const uchar4 colors,
const int frame, const int animationFrame,
const bool isJulia);
extern "C" void RunMandelbrotDSGold1(uchar4 *dst, const int imageW,
const int imageH, const int crunch,
const double xOff, const double yOff,
const double xJParam, const double yJParam,
const double scale, const uchar4 colors,
const int frame, const int animationFrame,
const bool isJulia);
#endif

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include <stdio.h>
#include "helper_cuda.h"
#include "Mandelbrot_kernel.h"
// The dimensions of the thread block
#define BLOCKDIM_X 16
#define BLOCKDIM_Y 16
#define ABS(n) ((n) < 0 ? -(n) : (n))
// Double single functions based on DSFUN90 package:
// http://crd.lbl.gov/~dhbailey/mpdist/index.html
// This function sets the DS number A equal to the double precision floating
// point number B.
inline void dsdeq(float &a0, float &a1, double b) {
a0 = (float)b;
a1 = (float)(b - a0);
} // dsdcp
// This function sets the DS number A equal to the single precision floating
// point number B.
__device__ inline void dsfeq(float &a0, float &a1, float b) {
a0 = b;
a1 = 0.0f;
} // dsfeq
// This function computes c = a + b.
__device__ inline void dsadd(float &c0, float &c1, const float a0,
const float a1, const float b0, const float b1) {
// Compute dsa + dsb using Knuth's trick.
float t1 = a0 + b0;
float e = t1 - a0;
float t2 = ((b0 - e) + (a0 - (t1 - e))) + a1 + b1;
// The result is t1 + t2, after normalization.
c0 = e = t1 + t2;
c1 = t2 - (e - t1);
} // dsadd
// This function computes c = a - b.
__device__ inline void dssub(float &c0, float &c1, const float a0,
const float a1, const float b0, const float b1) {
// Compute dsa - dsb using Knuth's trick.
float t1 = a0 - b0;
float e = t1 - a0;
float t2 = ((-b0 - e) + (a0 - (t1 - e))) + a1 - b1;
// The result is t1 + t2, after normalization.
c0 = e = t1 + t2;
c1 = t2 - (e - t1);
} // dssub
#if 1
// This function multiplies DS numbers A and B to yield the DS product C.
__device__ inline void dsmul(float &c0, float &c1, const float a0,
const float a1, const float b0, const float b1) {
// This splits dsa(1) and dsb(1) into high-order and low-order words.
float cona = a0 * 8193.0f;
float conb = b0 * 8193.0f;
float sa1 = cona - (cona - a0);
float sb1 = conb - (conb - b0);
float sa2 = a0 - sa1;
float sb2 = b0 - sb1;
// Multilply a0 * b0 using Dekker's method.
float c11 = a0 * b0;
float c21 = (((sa1 * sb1 - c11) + sa1 * sb2) + sa2 * sb1) + sa2 * sb2;
// Compute a0 * b1 + a1 * b0 (only high-order word is needed).
float c2 = a0 * b1 + a1 * b0;
// Compute (c11, c21) + c2 using Knuth's trick, also adding low-order product.
float t1 = c11 + c2;
float e = t1 - c11;
float t2 = ((c2 - e) + (c11 - (t1 - e))) + c21 + a1 * b1;
// The result is t1 + t2, after normalization.
c0 = e = t1 + t2;
c1 = t2 - (e - t1);
} // dsmul
#else
// Modified double-single mul function by Norbert Juffa, NVIDIA
// uses __fmul_rn() and __fadd_rn() intrinsics which prevent FMAD merging
/* Based on: Guillaume Da Gra<72>a, David Defour. Implementation of Float-Float
* Operators on Graphics Hardware. RNC'7 pp. 23-32, 2006.
*/
// This function multiplies DS numbers A and B to yield the DS product C.
__device__ inline void dsmul(float &c0, float &c1, const float a0,
const float a1, const float b0, const float b1) {
// This splits dsa(1) and dsb(1) into high-order and low-order words.
float cona = a0 * 8193.0f;
float conb = b0 * 8193.0f;
float sa1 = cona - (cona - a0);
float sb1 = conb - (conb - b0);
float sa2 = a0 - sa1;
float sb2 = b0 - sb1;
// Multilply a0 * b0 using Dekker's method.
float c11 = __fmul_rn(a0, b0);
float c21 = (((sa1 * sb1 - c11) + sa1 * sb2) + sa2 * sb1) + sa2 * sb2;
// Compute a0 * b1 + a1 * b0 (only high-order word is needed).
float c2 = __fmul_rn(a0, b1) + __fmul_rn(a1, b0);
// Compute (c11, c21) + c2 using Knuth's trick, also adding low-order product.
float t1 = c11 + c2;
float e = t1 - c11;
float t2 = ((c2 - e) + (c11 - (t1 - e))) + c21 + __fmul_rn(a1, b1);
// The result is t1 + t2, after normalization.
c0 = e = t1 + t2;
c1 = t2 - (e - t1);
} // dsmul
#endif
// The core Mandelbrot CUDA GPU calculation function
#if 1
// Unrolled version
template <class T>
__device__ inline int CalcMandelbrot(const T xPos, const T yPos,
const T xJParam, const T yJParam,
const int crunch, const bool isJulia) {
T x, y, xx, yy;
int i = crunch;
T xC, yC;
if (isJulia) {
xC = xJParam;
yC = yJParam;
y = yPos;
x = xPos;
yy = y * y;
xx = x * x;
} else {
xC = xPos;
yC = yPos;
y = 0;
x = 0;
yy = 0;
xx = 0;
}
do {
// Iteration 1
if (xx + yy > T(4.0)) return i - 1;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 2
if (xx + yy > T(4.0)) return i - 2;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 3
if (xx + yy > T(4.0)) return i - 3;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 4
if (xx + yy > T(4.0)) return i - 4;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 5
if (xx + yy > T(4.0)) return i - 5;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 6
if (xx + yy > T(4.0)) return i - 6;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 7
if (xx + yy > T(4.0)) return i - 7;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 8
if (xx + yy > T(4.0)) return i - 8;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 9
if (xx + yy > T(4.0)) return i - 9;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 10
if (xx + yy > T(4.0)) return i - 10;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 11
if (xx + yy > T(4.0)) return i - 11;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 12
if (xx + yy > T(4.0)) return i - 12;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 13
if (xx + yy > T(4.0)) return i - 13;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 14
if (xx + yy > T(4.0)) return i - 14;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 15
if (xx + yy > T(4.0)) return i - 15;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 16
if (xx + yy > T(4.0)) return i - 16;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 17
if (xx + yy > T(4.0)) return i - 17;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 18
if (xx + yy > T(4.0)) return i - 18;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 19
if (xx + yy > T(4.0)) return i - 19;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
// Iteration 20
i -= 20;
if ((i <= 0) || (xx + yy > T(4.0))) return i;
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
} while (1);
} // CalcMandelbrot
#else
template <class T>
__device__ inline int CalcMandelbrot(const T xPos, const T yPos,
const T xJParam, const T yJParam,
const int crunch, const isJulia) {
T x, y, xx, yy, xC, yC;
if (isJulia) {
xC = xJParam;
yC = yJParam;
y = yPos;
x = xPos;
yy = y * y;
xx = x * x;
} else {
xC = xPos;
yC = yPos;
y = 0;
x = 0;
yy = 0;
xx = 0;
}
int i = crunch;
while (--i && (xx + yy < T(4.0))) {
y = x * y * T(2.0) + yC;
x = xx - yy + xC;
yy = y * y;
xx = x * x;
}
return i; // i > 0 ? crunch - i : 0;
} // CalcMandelbrot
#endif
// The core Mandelbrot calculation function in double-single precision
__device__ inline int CalcMandelbrotDS(const float xPos0, const float xPos1,
const float yPos0, const float yPos1,
const float xJParam, const float yJParam,
const int crunch, const bool isJulia) {
float xx0, xx1;
float yy0, yy1;
float sum0, sum1;
int i = crunch;
float x0, x1, y0, y1;
float xC0, xC1, yC0, yC1;
if (isJulia) {
xC0 = xJParam;
xC1 = 0;
yC0 = yJParam;
yC1 = 0;
y0 = yPos0; // y = yPos;
y1 = yPos1;
x0 = xPos0; // x = xPos;
x1 = xPos1;
dsmul(yy0, yy1, y0, y1, y0, y1); // yy = y * y;
dsmul(xx0, xx1, x0, x1, x0, x1); // xx = x * x;
} else {
xC0 = xPos0;
xC1 = xPos1;
yC0 = yPos0;
yC1 = yPos1;
y0 = 0; // y = 0 ;
y1 = 0;
x0 = 0; // x = 0 ;
x1 = 0;
yy0 = 0; // yy = 0 ;
yy1 = 0;
xx0 = 0; // xx = 0 ;
xx1 = 0;
}
dsadd(sum0, sum1, xx0, xx1, yy0, yy1); // sum = xx + yy;
while (--i && (sum0 + sum1 < 4.0f)) {
dsmul(y0, y1, x0, x1, y0, y1); // y = x * y * 2.0f + yC; // yC is yPos for
// Mandelbrot and it is yJParam for Julia
dsadd(y0, y1, y0, y1, y0, y1);
dsadd(y0, y1, y0, y1, yC0, yC1);
dssub(x0, x1, xx0, xx1, yy0, yy1); // x = xx - yy + xC; // xC is xPos for
// Mandelbrot and it is xJParam for
// Julia
dsadd(x0, x1, x0, x1, xC0, xC1);
dsmul(yy0, yy1, y0, y1, y0, y1); // yy = y * y;
dsmul(xx0, xx1, x0, x1, x0, x1); // xx = x * x;
dsadd(sum0, sum1, xx0, xx1, yy0, yy1); // sum = xx + yy;
}
return i;
} // CalcMandelbrotDS
// Determine if two pixel colors are within tolerance
__device__ inline int CheckColors(const uchar4 &color0, const uchar4 &color1) {
int x = color1.x - color0.x;
int y = color1.y - color0.y;
int z = color1.z - color0.z;
return (ABS(x) > 10) || (ABS(y) > 10) || (ABS(z) > 10);
} // CheckColors
// Increase the grid size by 1 if the image width or height does not divide
// evenly
// by the thread block dimensions
inline int iDivUp(int a, int b) {
return ((a % b) != 0) ? (a / b + 1) : (a / b);
} // iDivUp

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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of NVIDIA CORPORATION nor the names of its
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef _MANDELBROT_KERNEL_h_
#define _MANDELBROT_KERNEL_h_
#include <vector_types.h>
extern "C" void RunMandelbrot0(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff,
const double yOff, const double xjp,
const double yjp, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const int mode,
const int numSMs, const bool isJ,
int version = 13);
extern "C" void RunMandelbrot1(uchar4 *dst, const int imageW, const int imageH,
const int crunch, const double xOff,
const double yOff, const double xjp,
const double yjp, const double scale,
const uchar4 colors, const int frame,
const int animationFrame, const int mode,
const int numSMs, const bool isJ,
int version = 13);
#endif

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE entry SYSTEM "SamplesInfo.dtd">
<entry>
<name>Mandelbrot</name>
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<description><![CDATA[This sample uses CUDA to compute and display the Mandelbrot or Julia sets interactively. It also illustrates the use of "double single" arithmetic to improve precision when zooming a long way into the pattern. This sample uses double precision. Thanks to Mark Granger of NewTek who submitted this code sample.!]]></description>
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<file>data\referenceJulia_fp32.ppm</file>
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<qatest>-mode=1 -file=referenceJulia_fp32.ppm</qatest>
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<required_dependencies>
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<dependency>GL</dependency>
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<scope>1:Data-Parallel Algorithms</scope>
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<title>Mandelbrot</title>
<type>exe</type>
</entry>

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