mirror of
https://github.com/NVIDIA/cuda-samples.git
synced 2026-10-26 06:38:16 +08:00
CUDA 13.2 samples update (#432)
- Added Python samples for CUDA Python 1.0 release - Renamed top-level `Samples` directory to `cpp` to accommodate Python samples.
This commit is contained in:
18
cpp/5_Domain_Specific/binomialOptions_nvrtc/.vscode/c_cpp_properties.json
vendored
Normal file
18
cpp/5_Domain_Specific/binomialOptions_nvrtc/.vscode/c_cpp_properties.json
vendored
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@@ -0,0 +1,18 @@
|
||||
{
|
||||
"configurations": [
|
||||
{
|
||||
"name": "Linux",
|
||||
"includePath": [
|
||||
"${workspaceFolder}/**",
|
||||
"${workspaceFolder}/../../../Common"
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||||
],
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||||
"defines": [],
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"compilerPath": "/usr/local/cuda/bin/nvcc",
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||||
"cStandard": "gnu17",
|
||||
"cppStandard": "gnu++14",
|
||||
"intelliSenseMode": "linux-gcc-x64",
|
||||
"configurationProvider": "ms-vscode.makefile-tools"
|
||||
}
|
||||
],
|
||||
"version": 4
|
||||
}
|
||||
7
cpp/5_Domain_Specific/binomialOptions_nvrtc/.vscode/extensions.json
vendored
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7
cpp/5_Domain_Specific/binomialOptions_nvrtc/.vscode/extensions.json
vendored
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@@ -0,0 +1,7 @@
|
||||
{
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||||
"recommendations": [
|
||||
"nvidia.nsight-vscode-edition",
|
||||
"ms-vscode.cpptools",
|
||||
"ms-vscode.makefile-tools"
|
||||
]
|
||||
}
|
||||
63
cpp/5_Domain_Specific/binomialOptions_nvrtc/CMakeLists.txt
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63
cpp/5_Domain_Specific/binomialOptions_nvrtc/CMakeLists.txt
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@@ -0,0 +1,63 @@
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cmake_minimum_required(VERSION 3.20)
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list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/../../../cmake/Modules")
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project(binomialOptions_nvrtc LANGUAGES C CXX CUDA)
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find_package(CUDAToolkit REQUIRED)
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set(CMAKE_POSITION_INDEPENDENT_CODE ON)
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||||
|
||||
set(CMAKE_CUDA_ARCHITECTURES 75 80 86 87 89 90 100 110 120)
|
||||
set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -Wno-deprecated-gpu-targets")
|
||||
if(ENABLE_CUDA_DEBUG)
|
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set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -G") # enable cuda-gdb (may significantly affect performance on some targets)
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else()
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set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -lineinfo") # add line information to all builds for debug tools (exclusive to -G option)
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endif()
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|
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# Include directories and libraries
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include_directories(../../../Common)
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|
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# Source file
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# Add target for binomialOptions_nvrtc
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add_executable(binomialOptions_nvrtc binomialOptions.cpp binomialOptions_gold.cpp binomialOptions_gpu.cpp)
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target_compile_options(binomialOptions_nvrtc PRIVATE $<$<COMPILE_LANGUAGE:CUDA>:--extended-lambda>)
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|
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target_compile_features(binomialOptions_nvrtc PRIVATE cxx_std_17 cuda_std_17)
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set_target_properties(binomialOptions_nvrtc PROPERTIES CUDA_SEPARABLE_COMPILATION ON)
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|
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target_link_libraries(binomialOptions_nvrtc PRIVATE
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CUDA::nvrtc
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CUDA::cuda_driver
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)
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# Copy kernel to the output directory
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add_custom_command(TARGET binomialOptions_nvrtc POST_BUILD
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COMMAND ${CMAKE_COMMAND} -E copy_if_different
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${CMAKE_CURRENT_SOURCE_DIR}/binomialOptions_kernel.cu ${CMAKE_CURRENT_BINARY_DIR}
|
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)
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|
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# Copy header to the output directory
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add_custom_command(TARGET binomialOptions_nvrtc POST_BUILD
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COMMAND ${CMAKE_COMMAND} -E copy_if_different
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${CMAKE_CURRENT_SOURCE_DIR}/common_gpu_header.h ${CMAKE_CURRENT_BINARY_DIR}
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)
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||||
|
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# Copy header to the output directory
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add_custom_command(TARGET binomialOptions_nvrtc POST_BUILD
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COMMAND ${CMAKE_COMMAND} -E copy_if_different
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${CMAKE_CURRENT_SOURCE_DIR}/binomialOptions_common.h ${CMAKE_CURRENT_BINARY_DIR}
|
||||
)
|
||||
|
||||
# Copy header to the output directory
|
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add_custom_command(TARGET binomialOptions_nvrtc POST_BUILD
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COMMAND ${CMAKE_COMMAND} -E copy_if_different
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${CMAKE_CURRENT_SOURCE_DIR}/realtype.h ${CMAKE_CURRENT_BINARY_DIR}
|
||||
)
|
||||
|
||||
# Include installation configuration
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include(${CMAKE_CURRENT_SOURCE_DIR}/../../../cmake/InstallSamples.cmake)
|
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setup_samples_install()
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||||
39
cpp/5_Domain_Specific/binomialOptions_nvrtc/README.md
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39
cpp/5_Domain_Specific/binomialOptions_nvrtc/README.md
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@@ -0,0 +1,39 @@
|
||||
# binomialOptions_nvrtc - Binomial Option Pricing with libNVRTC
|
||||
|
||||
## Description
|
||||
|
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This sample evaluates fair call price for a given set of European options under binomial model. This sample makes use of NVRTC for Runtime Compilation.
|
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|
||||
## Key Concepts
|
||||
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Computational Finance, Runtime Compilation
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|
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## Supported SM Architectures
|
||||
|
||||
[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) [SM 8.9 ](https://developer.nvidia.com/cuda-gpus) [SM 9.0 ](https://developer.nvidia.com/cuda-gpus)
|
||||
|
||||
## Supported OSes
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|
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Linux, Windows, QNX
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|
||||
## Supported CPU Architecture
|
||||
|
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x86_64, aarch64
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|
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## CUDA APIs involved
|
||||
|
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### [CUDA Driver API](http://docs.nvidia.com/cuda/cuda-driver-api/index.html)
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cuMemcpyDtoH, cuLaunchKernel, cuMemcpyHtoD, cuModuleGetGlobal, cuCtxSynchronize, cuModuleGetFunction
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### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
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cudaBlockSize, cudaGridSize
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|
||||
## Dependencies needed to build/run
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[NVRTC](../../../README.md#nvrtc)
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## Prerequisites
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|
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Download and install the [CUDA Toolkit](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
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Make sure the dependencies mentioned in [Dependencies]() section above are installed.
|
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|
||||
## References (for more details)
|
||||
198
cpp/5_Domain_Specific/binomialOptions_nvrtc/binomialOptions.cpp
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198
cpp/5_Domain_Specific/binomialOptions_nvrtc/binomialOptions.cpp
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@@ -0,0 +1,198 @@
|
||||
/* 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 price for a
|
||||
* given set of European options under binomial model.
|
||||
* See supplied whitepaper for more explanations.
|
||||
*/
|
||||
|
||||
#include <cuda.h>
|
||||
#include <cuda_runtime.h>
|
||||
#include <helper_functions.h>
|
||||
#include <math.h>
|
||||
#include <stdio.h>
|
||||
#include <stdlib.h>
|
||||
#include <string.h>
|
||||
|
||||
#include "binomialOptions_common.h"
|
||||
#include "realtype.h"
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Black-Scholes formula for binomial tree results validation
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
extern "C" void BlackScholesCall(real &callResult, TOptionData optionData);
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Process single option on CPU
|
||||
// Note that CPU code is for correctness testing only and not for benchmarking.
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
extern "C" void binomialOptionsCPU(real &callResult, TOptionData optionData);
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Process an array of OptN options on GPU
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
extern "C" void binomialOptionsGPU(real *callValue, TOptionData *optionData, int optN, int argc, char **argv);
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Helper function, returning uniformly distributed
|
||||
// random float in [low, high] range
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
real randData(real low, real high)
|
||||
{
|
||||
real t = (real)rand() / (real)RAND_MAX;
|
||||
return ((real)1.0 - t) * low + t * high;
|
||||
}
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Main program
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
int main(int argc, char **argv)
|
||||
{
|
||||
printf("[%s] - Starting...\n", argv[0]);
|
||||
|
||||
const int OPT_N = MAX_OPTIONS;
|
||||
|
||||
TOptionData optionData[MAX_OPTIONS];
|
||||
real callValueBS[MAX_OPTIONS], callValueGPU[MAX_OPTIONS], callValueCPU[MAX_OPTIONS];
|
||||
|
||||
real sumDelta, sumRef, gpuTime, errorVal;
|
||||
|
||||
StopWatchInterface *hTimer = NULL;
|
||||
|
||||
int i;
|
||||
|
||||
sdkCreateTimer(&hTimer);
|
||||
|
||||
printf("Generating input data...\n");
|
||||
|
||||
// Generate options set
|
||||
srand(123);
|
||||
|
||||
for (i = 0; i < OPT_N; i++) {
|
||||
optionData[i].S = randData(5.0f, 30.0f);
|
||||
optionData[i].X = randData(1.0f, 100.0f);
|
||||
optionData[i].T = randData(0.25f, 10.0f);
|
||||
optionData[i].R = 0.06f;
|
||||
optionData[i].V = 0.10f;
|
||||
|
||||
BlackScholesCall(callValueBS[i], optionData[i]);
|
||||
}
|
||||
|
||||
printf("Running GPU binomial tree...\n");
|
||||
|
||||
sdkResetTimer(&hTimer);
|
||||
sdkStartTimer(&hTimer);
|
||||
|
||||
binomialOptionsGPU(callValueGPU, optionData, OPT_N, argc, argv);
|
||||
|
||||
sdkStopTimer(&hTimer);
|
||||
|
||||
gpuTime = sdkGetTimerValue(&hTimer);
|
||||
|
||||
printf("Options count : %i \n", OPT_N);
|
||||
printf("Time steps : %i \n", NUM_STEPS);
|
||||
printf("binomialOptionsGPU() time: %f msec\n", gpuTime);
|
||||
printf("Options per second : %f \n", OPT_N / (gpuTime * 0.001));
|
||||
|
||||
printf("Running CPU binomial tree...\n");
|
||||
|
||||
for (i = 0; i < OPT_N; i++) {
|
||||
binomialOptionsCPU(callValueCPU[i], optionData[i]);
|
||||
}
|
||||
|
||||
printf("Comparing the results...\n");
|
||||
|
||||
sumDelta = 0;
|
||||
sumRef = 0;
|
||||
printf("GPU binomial vs. Black-Scholes\n");
|
||||
|
||||
for (i = 0; i < OPT_N; i++) {
|
||||
sumDelta += fabs(callValueBS[i] - callValueGPU[i]);
|
||||
sumRef += fabs(callValueBS[i]);
|
||||
}
|
||||
|
||||
if (sumRef > 1E-5) {
|
||||
printf("L1 norm: %E\n", (double)(sumDelta / sumRef));
|
||||
}
|
||||
else {
|
||||
printf("Avg. diff: %E\n", (double)(sumDelta / (real)OPT_N));
|
||||
}
|
||||
|
||||
printf("CPU binomial vs. Black-Scholes\n");
|
||||
sumDelta = 0;
|
||||
sumRef = 0;
|
||||
|
||||
for (i = 0; i < OPT_N; i++) {
|
||||
sumDelta += fabs(callValueBS[i] - callValueCPU[i]);
|
||||
sumRef += fabs(callValueBS[i]);
|
||||
}
|
||||
|
||||
if (sumRef > 1E-5) {
|
||||
printf("L1 norm: %E\n", sumDelta / sumRef);
|
||||
}
|
||||
else {
|
||||
printf("Avg. diff: %E\n", (double)(sumDelta / (real)OPT_N));
|
||||
}
|
||||
|
||||
printf("CPU binomial vs. GPU binomial\n");
|
||||
sumDelta = 0;
|
||||
sumRef = 0;
|
||||
|
||||
for (i = 0; i < OPT_N; i++) {
|
||||
sumDelta += fabs(callValueGPU[i] - callValueCPU[i]);
|
||||
sumRef += callValueCPU[i];
|
||||
}
|
||||
|
||||
if (sumRef > 1E-5) {
|
||||
printf("L1 norm: %E\n", errorVal = sumDelta / sumRef);
|
||||
}
|
||||
else {
|
||||
printf("Avg. diff: %E\n", (double)(sumDelta / (real)OPT_N));
|
||||
}
|
||||
|
||||
printf("Shutting down...\n");
|
||||
|
||||
sdkDeleteTimer(&hTimer);
|
||||
|
||||
printf("\nNOTE: The CUDA Samples are not meant for performance measurements. "
|
||||
"Results may vary when GPU Boost is enabled.\n\n");
|
||||
|
||||
if (errorVal > 5e-4) {
|
||||
printf("Test failed!\n");
|
||||
exit(EXIT_FAILURE);
|
||||
}
|
||||
|
||||
printf("Test passed\n");
|
||||
|
||||
exit(EXIT_SUCCESS);
|
||||
}
|
||||
@@ -0,0 +1,54 @@
|
||||
/* 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 BINOMIALOPTIONS_COMMON_H
|
||||
#define BINOMIALOPTIONS_COMMON_H
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Global types
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
typedef struct
|
||||
{
|
||||
float S;
|
||||
float X;
|
||||
float T;
|
||||
float R;
|
||||
float V;
|
||||
} TOptionData;
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Global parameters
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
// Number of time steps
|
||||
#define NUM_STEPS 2048
|
||||
|
||||
// Max option batch size
|
||||
#define MAX_OPTIONS 1024
|
||||
|
||||
#endif
|
||||
@@ -0,0 +1,132 @@
|
||||
/* 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>
|
||||
#include <stdio.h>
|
||||
|
||||
#include "binomialOptions_common.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;
|
||||
}
|
||||
|
||||
extern "C" void BlackScholesCall(float &callResult, TOptionData optionData)
|
||||
{
|
||||
double S = optionData.S;
|
||||
double X = optionData.X;
|
||||
double T = optionData.T;
|
||||
double R = optionData.R;
|
||||
double V = optionData.V;
|
||||
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);
|
||||
}
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Process an array of OptN options on CPU
|
||||
// Note that CPU code is for correctness testing only and not for benchmarking.
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
static double expiryCallValue(double S, double X, double vDt, int i)
|
||||
{
|
||||
double d = S * exp(vDt * (2.0 * i - NUM_STEPS)) - X;
|
||||
return (d > 0) ? d : 0;
|
||||
}
|
||||
|
||||
extern "C" void binomialOptionsCPU(float &callResult, TOptionData optionData)
|
||||
{
|
||||
static double Call[NUM_STEPS + 1];
|
||||
const double S = optionData.S;
|
||||
const double X = optionData.X;
|
||||
const double T = optionData.T;
|
||||
const double R = optionData.R;
|
||||
const double V = optionData.V;
|
||||
|
||||
const double dt = T / (double)NUM_STEPS;
|
||||
const double vDt = V * sqrt(dt);
|
||||
const double rDt = R * dt;
|
||||
|
||||
// Per-step interest and discount factors
|
||||
const double If = exp(rDt);
|
||||
const double Df = exp(-rDt);
|
||||
|
||||
// Values and pseudoprobabilities of upward and downward moves
|
||||
const double u = exp(vDt);
|
||||
const double d = exp(-vDt);
|
||||
const double pu = (If - d) / (u - d);
|
||||
const double pd = 1.0 - pu;
|
||||
const double puByDf = pu * Df;
|
||||
const double pdByDf = pd * Df;
|
||||
|
||||
///////////////////////////////////////////////////////////////////////
|
||||
// Compute values at expiration date:
|
||||
// call option value at period end is V(T) = S(T) - X
|
||||
// if S(T) is greater than X, or zero otherwise.
|
||||
// The computation is similar for put options.
|
||||
///////////////////////////////////////////////////////////////////////
|
||||
|
||||
for (int i = 0; i <= NUM_STEPS; i++)
|
||||
Call[i] = expiryCallValue(S, X, vDt, i);
|
||||
|
||||
////////////////////////////////////////////////////////////////////////
|
||||
// Walk backwards up binomial tree
|
||||
////////////////////////////////////////////////////////////////////////
|
||||
|
||||
for (int i = NUM_STEPS; i > 0; i--)
|
||||
for (int j = 0; j <= i - 1; j++)
|
||||
Call[j] = puByDf * Call[j + 1] + pdByDf * Call[j];
|
||||
|
||||
callResult = (float)Call[0];
|
||||
}
|
||||
@@ -0,0 +1,132 @@
|
||||
/* 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.
|
||||
*/
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Global types and parameters
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
#include <cmath>
|
||||
#include <stdio.h>
|
||||
#include <stdlib.h>
|
||||
|
||||
// Other helpers
|
||||
#include <helper_cuda.h>
|
||||
#include <nvrtc_helper.h>
|
||||
|
||||
// CUDA runtime
|
||||
#include <cuda_runtime.h>
|
||||
|
||||
#include "binomialOptions_common.h"
|
||||
#include "common_gpu_header.h"
|
||||
#include "realtype.h"
|
||||
|
||||
|
||||
// Preprocessed input option data
|
||||
typedef struct
|
||||
{
|
||||
real S;
|
||||
real X;
|
||||
real vDt;
|
||||
real puByDf;
|
||||
real pdByDf;
|
||||
|
||||
} __TOptionData;
|
||||
|
||||
static bool moduleLoaded = false;
|
||||
char *cubin, *kernel_file;
|
||||
size_t cubinSize;
|
||||
CUmodule module;
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Host-side interface to GPU binomialOptions
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
extern "C" void binomialOptionsGPU(real *callValue, TOptionData *optionData, int optN, int argc, char **argv)
|
||||
{
|
||||
if (!moduleLoaded) {
|
||||
kernel_file = sdkFindFilePath("binomialOptions_kernel.cu", argv[0]);
|
||||
compileFileToCUBIN(kernel_file, argc, argv, &cubin, &cubinSize, 0);
|
||||
module = loadCUBIN(cubin, argc, argv);
|
||||
moduleLoaded = true;
|
||||
}
|
||||
|
||||
__TOptionData h_OptionData[MAX_OPTIONS];
|
||||
|
||||
for (int i = 0; i < optN; i++) {
|
||||
const real T = optionData[i].T;
|
||||
const real R = optionData[i].R;
|
||||
const real V = optionData[i].V;
|
||||
|
||||
const real dt = T / (real)NUM_STEPS;
|
||||
const real vDt = V * sqrt(dt);
|
||||
const real rDt = R * dt;
|
||||
// Per-step interest and discount factors
|
||||
const real If = exp(rDt);
|
||||
const real Df = exp(-rDt);
|
||||
// Values and pseudoprobabilities of upward and downward moves
|
||||
const real u = exp(vDt);
|
||||
const real d = exp(-vDt);
|
||||
const real pu = (If - d) / (u - d);
|
||||
const real pd = (real)1.0 - pu;
|
||||
const real puByDf = pu * Df;
|
||||
const real pdByDf = pd * Df;
|
||||
|
||||
h_OptionData[i].S = (real)optionData[i].S;
|
||||
h_OptionData[i].X = (real)optionData[i].X;
|
||||
h_OptionData[i].vDt = (real)vDt;
|
||||
h_OptionData[i].puByDf = (real)puByDf;
|
||||
h_OptionData[i].pdByDf = (real)pdByDf;
|
||||
}
|
||||
|
||||
CUfunction kernel_addr;
|
||||
checkCudaErrors(cuModuleGetFunction(&kernel_addr, module, "binomialOptionsKernel"));
|
||||
|
||||
CUdeviceptr d_OptionData;
|
||||
checkCudaErrors(cuModuleGetGlobal(&d_OptionData, NULL, module, "d_OptionData"));
|
||||
checkCudaErrors(cuMemcpyHtoD(d_OptionData, h_OptionData, optN * sizeof(__TOptionData)));
|
||||
|
||||
dim3 cudaBlockSize(128, 1, 1);
|
||||
dim3 cudaGridSize(optN, 1, 1);
|
||||
|
||||
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 */
|
||||
NULL, /* arguments */
|
||||
0));
|
||||
|
||||
checkCudaErrors(cuCtxSynchronize());
|
||||
|
||||
CUdeviceptr d_CallValue;
|
||||
checkCudaErrors(cuModuleGetGlobal(&d_CallValue, NULL, module, "d_CallValue"));
|
||||
checkCudaErrors(cuMemcpyDtoH(callValue, d_CallValue, optN * sizeof(real)));
|
||||
}
|
||||
@@ -0,0 +1,110 @@
|
||||
/* 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 "binomialOptions_common.h"
|
||||
#include "common_gpu_header.h"
|
||||
#include "realtype.h"
|
||||
|
||||
// Preprocessed input option data
|
||||
typedef struct
|
||||
{
|
||||
real S;
|
||||
real X;
|
||||
real vDt;
|
||||
real puByDf;
|
||||
real pdByDf;
|
||||
} __TOptionData;
|
||||
static __constant__ __TOptionData d_OptionData[MAX_OPTIONS];
|
||||
__device__ real d_CallValue[MAX_OPTIONS];
|
||||
|
||||
#define THREADBLOCK_SIZE 128
|
||||
#define ELEMS_PER_THREAD (NUM_STEPS / THREADBLOCK_SIZE)
|
||||
#if NUM_STEPS % THREADBLOCK_SIZE
|
||||
#error Bad constants
|
||||
#endif
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Overloaded shortcut functions for different precision modes
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
#ifndef DOUBLE_PRECISION
|
||||
__device__ inline float expiryCallValue(float S, float X, float vDt, int i)
|
||||
{
|
||||
float d = S * __expf(vDt * (2.0f * i - NUM_STEPS)) - X;
|
||||
return (d > 0.0F) ? d : 0.0F;
|
||||
}
|
||||
|
||||
#else
|
||||
__device__ inline double expiryCallValue(double S, double X, double vDt, int i)
|
||||
{
|
||||
double d = S * exp(vDt * (2.0 * i - NUM_STEPS)) - X;
|
||||
return (d > 0.0) ? d : 0.0;
|
||||
}
|
||||
#endif
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// GPU kernel
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
extern "C" __global__ void binomialOptionsKernel()
|
||||
{
|
||||
__shared__ real call_exchange[THREADBLOCK_SIZE + 1];
|
||||
|
||||
const int tid = threadIdx.x;
|
||||
const real S = d_OptionData[blockIdx.x].S;
|
||||
const real X = d_OptionData[blockIdx.x].X;
|
||||
const real vDt = d_OptionData[blockIdx.x].vDt;
|
||||
const real puByDf = d_OptionData[blockIdx.x].puByDf;
|
||||
const real pdByDf = d_OptionData[blockIdx.x].pdByDf;
|
||||
|
||||
real call[ELEMS_PER_THREAD + 1];
|
||||
#pragma unroll
|
||||
for (int i = 0; i < ELEMS_PER_THREAD; ++i)
|
||||
call[i] = expiryCallValue(S, X, vDt, tid * ELEMS_PER_THREAD + i);
|
||||
|
||||
if (tid == 0)
|
||||
call_exchange[THREADBLOCK_SIZE] = expiryCallValue(S, X, vDt, NUM_STEPS);
|
||||
|
||||
int final_it = max(0, tid * ELEMS_PER_THREAD - 1);
|
||||
|
||||
#pragma unroll 16
|
||||
for (int i = NUM_STEPS; i > 0; --i) {
|
||||
call_exchange[tid] = call[0];
|
||||
__syncthreads();
|
||||
call[ELEMS_PER_THREAD] = call_exchange[tid + 1];
|
||||
__syncthreads();
|
||||
|
||||
if (i > final_it) {
|
||||
#pragma unroll
|
||||
for (int j = 0; j < ELEMS_PER_THREAD; ++j)
|
||||
call[j] = puByDf * call[j + 1] + pdByDf * call[j];
|
||||
}
|
||||
}
|
||||
|
||||
if (tid == 0) {
|
||||
d_CallValue[blockIdx.x] = call[0];
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,31 @@
|
||||
/*
|
||||
* Copyright 1993-2015 NVIDIA Corporation. All rights reserved.
|
||||
*
|
||||
* Please refer to the NVIDIA end user license agreement (EULA) associated
|
||||
* with this source code for terms and conditions that govern your use of
|
||||
* this software. Any use, reproduction, disclosure, or distribution of
|
||||
* this software and related documentation outside the terms of the EULA
|
||||
* is strictly prohibited.
|
||||
*
|
||||
*/
|
||||
|
||||
#if !defined(__COMMON_GPU_HEADER_H)
|
||||
#define __COMMON_GPU_HEADER_H
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
// Internal GPU-side constants and data structures
|
||||
////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
#define TIME_STEPS 16
|
||||
|
||||
#define CACHE_DELTA (2 * TIME_STEPS)
|
||||
|
||||
#define CACHE_SIZE (256)
|
||||
|
||||
#define CACHE_STEP (CACHE_SIZE - CACHE_DELTA)
|
||||
|
||||
#if NUM_STEPS % CACHE_DELTA
|
||||
#error Bad constants
|
||||
#endif
|
||||
|
||||
#endif
|
||||
41
cpp/5_Domain_Specific/binomialOptions_nvrtc/realtype.h
Normal file
41
cpp/5_Domain_Specific/binomialOptions_nvrtc/realtype.h
Normal file
@@ -0,0 +1,41 @@
|
||||
/* 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 REALTYPE_H
|
||||
#define REALTYPE_H
|
||||
|
||||
// To use double precision uncomment the macro DOUBLE_PRECISION below, default
|
||||
// is single precision.
|
||||
// #define DOUBLE_PRECISION
|
||||
|
||||
#ifndef DOUBLE_PRECISION
|
||||
typedef float real;
|
||||
#else
|
||||
typedef double real;
|
||||
#endif
|
||||
|
||||
#endif
|
||||
Reference in New Issue
Block a user