add and update samples for CUDA 11.5

This commit is contained in:
Rutwik Choughule
2021-10-21 16:34:49 +05:30
parent 3342d604fe
commit 1f76a2d110
2796 changed files with 1511725 additions and 827 deletions

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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}/MonteCarloMultiGPU"
}
]
}

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

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################################################################################
# Copyright (c) 2019, 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 += --qpp-config 5.4.0,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 :=
################################################################################
#Detect if installed version of GCC supports required C++11
ifeq ($(TARGET_OS),linux)
empty :=
space := $(empty) $(empty)
GCCVERSIONSTRING := $(shell expr `$(HOST_COMPILER) -dumpversion`)
#Create version number without "."
GCCVERSION := $(shell expr `echo $(GCCVERSIONSTRING)` | cut -f1 -d.)
GCCVERSION += $(shell expr `echo $(GCCVERSIONSTRING)` | cut -f2 -d.)
GCCVERSION += $(shell expr `echo $(GCCVERSIONSTRING)` | cut -f3 -d.)
# Make sure the version number has at least 3 decimals
GCCVERSION += 00
# Remove spaces from the version number
GCCVERSION := $(subst $(space),$(empty),$(GCCVERSION))
#$(warning $(GCCVERSION))
IS_MIN_VERSION := $(shell expr `echo $(GCCVERSION)` \>= 51000)
ifeq ($(IS_MIN_VERSION), 1)
$(info >>> GCC Version is greater or equal to 5.1.0 <<<)
else
$(info >>> Waiving build. Minimum GCC version required is 5.1.0<<<)
SAMPLE_ENABLED := 0
endif
endif
# Gencode arguments
ifeq ($(TARGET_ARCH),$(filter $(TARGET_ARCH),armv7l aarch64))
SMS ?= 35 37 50 52 60 61 70 72 75 80 86
else
SMS ?= 35 37 50 52 60 61 70 75 80 86
endif
ifeq ($(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
LIBRARIES += -lcurand
ifeq ($(SAMPLE_ENABLED),0)
EXEC ?= @echo "[@]"
endif
################################################################################
# Target rules
all: build
build: MonteCarloMultiGPU
check.deps:
ifeq ($(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
MonteCarloMultiGPU.o:MonteCarloMultiGPU.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
MonteCarlo_gold.o:MonteCarlo_gold.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
MonteCarlo_kernel.o:MonteCarlo_kernel.cu
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
multithreading.o:multithreading.cpp
$(EXEC) $(NVCC) $(INCLUDES) $(ALL_CCFLAGS) $(GENCODE_FLAGS) -o $@ -c $<
MonteCarloMultiGPU: MonteCarloMultiGPU.o MonteCarlo_gold.o MonteCarlo_kernel.o multithreading.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
$(EXEC) ./MonteCarloMultiGPU
clean:
rm -f MonteCarloMultiGPU MonteCarloMultiGPU.o MonteCarlo_gold.o MonteCarlo_kernel.o multithreading.o
rm -rf ../../bin/$(TARGET_ARCH)/$(TARGET_OS)/$(BUILD_TYPE)/MonteCarloMultiGPU
clobber: clean

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/* Copyright (c) 2021, 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 using Monte Carlo approach.
* See supplied whitepaper for more explanations.
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <cuda_runtime.h>
// includes, project
#include <helper_functions.h> // Helper functions (utilities, parsing, timing)
#include <helper_cuda.h> // helper functions (cuda error checking and initialization)
#include <multithreading.h>
#include "MonteCarlo_common.h"
int *pArgc = NULL;
char **pArgv = NULL;
#ifdef WIN32
#define strcasecmp _strcmpi
#endif
////////////////////////////////////////////////////////////////////////////////
// Common functions
////////////////////////////////////////////////////////////////////////////////
float randFloat(float low, float high) {
float t = (float)rand() / (float)RAND_MAX;
return (1.0f - t) * low + t * high;
}
/// Utility function to tweak problem size for small GPUs
int adjustProblemSize(int GPU_N, int default_nOptions) {
int nOptions = default_nOptions;
// select problem size
for (int i = 0; i < GPU_N; i++) {
cudaDeviceProp deviceProp;
checkCudaErrors(cudaGetDeviceProperties(&deviceProp, i));
int cudaCores = _ConvertSMVer2Cores(deviceProp.major, deviceProp.minor) *
deviceProp.multiProcessorCount;
if (cudaCores <= 32) {
nOptions = (nOptions < cudaCores / 2 ? nOptions : cudaCores / 2);
}
}
return nOptions;
}
int adjustGridSize(int GPUIndex, int defaultGridSize) {
cudaDeviceProp deviceProp;
checkCudaErrors(cudaGetDeviceProperties(&deviceProp, GPUIndex));
int maxGridSize = deviceProp.multiProcessorCount * 40;
return ((defaultGridSize > maxGridSize) ? maxGridSize : defaultGridSize);
}
///////////////////////////////////////////////////////////////////////////////
// CPU reference functions
///////////////////////////////////////////////////////////////////////////////
extern "C" void MonteCarloCPU(TOptionValue &callValue, TOptionData optionData,
float *h_Random, int pathN);
// Black-Scholes formula for call options
extern "C" void BlackScholesCall(float &CallResult, TOptionData optionData);
////////////////////////////////////////////////////////////////////////////////
// GPU-driving host thread
////////////////////////////////////////////////////////////////////////////////
// Timer
StopWatchInterface **hTimer = NULL;
static CUT_THREADPROC solverThread(TOptionPlan *plan) {
// Init GPU
checkCudaErrors(cudaSetDevice(plan->device));
cudaDeviceProp deviceProp;
checkCudaErrors(cudaGetDeviceProperties(&deviceProp, plan->device));
// Start the timer
sdkStartTimer(&hTimer[plan->device]);
// Allocate intermediate memory for MC integrator and initialize
// RNG states
initMonteCarloGPU(plan);
// Main computation
MonteCarloGPU(plan);
checkCudaErrors(cudaDeviceSynchronize());
// Stop the timer
sdkStopTimer(&hTimer[plan->device]);
// Shut down this GPU
closeMonteCarloGPU(plan);
cudaStreamSynchronize(0);
printf("solverThread() finished - GPU Device %d: %s\n", plan->device,
deviceProp.name);
CUT_THREADEND;
}
static void multiSolver(TOptionPlan *plan, int nPlans) {
// allocate and initialize an array of stream handles
cudaStream_t *streams = (cudaStream_t *)malloc(nPlans * sizeof(cudaStream_t));
cudaEvent_t *events = (cudaEvent_t *)malloc(nPlans * sizeof(cudaEvent_t));
for (int i = 0; i < nPlans; i++) {
checkCudaErrors(cudaSetDevice(plan[i].device));
checkCudaErrors(cudaStreamCreate(&(streams[i])));
checkCudaErrors(cudaEventCreate(&(events[i])));
}
// Init Each GPU
// In CUDA 4.0 we can call cudaSetDevice multiple times to target each device
// Set the device desired, then perform initializations on that device
for (int i = 0; i < nPlans; i++) {
// set the target device to perform initialization on
checkCudaErrors(cudaSetDevice(plan[i].device));
cudaDeviceProp deviceProp;
checkCudaErrors(cudaGetDeviceProperties(&deviceProp, plan[i].device));
// Allocate intermediate memory for MC integrator
// and initialize RNG state
initMonteCarloGPU(&plan[i]);
}
for (int i = 0; i < nPlans; i++) {
checkCudaErrors(cudaSetDevice(plan[i].device));
checkCudaErrors(cudaDeviceSynchronize());
}
// Start the timer
sdkResetTimer(&hTimer[0]);
sdkStartTimer(&hTimer[0]);
for (int i = 0; i < nPlans; i++) {
checkCudaErrors(cudaSetDevice(plan[i].device));
// Main computations
MonteCarloGPU(&plan[i], streams[i]);
checkCudaErrors(cudaEventRecord(events[i], streams[i]));
}
for (int i = 0; i < nPlans; i++) {
checkCudaErrors(cudaSetDevice(plan[i].device));
cudaEventSynchronize(events[i]);
}
// Stop the timer
sdkStopTimer(&hTimer[0]);
for (int i = 0; i < nPlans; i++) {
checkCudaErrors(cudaSetDevice(plan[i].device));
closeMonteCarloGPU(&plan[i]);
checkCudaErrors(cudaStreamDestroy(streams[i]));
checkCudaErrors(cudaEventDestroy(events[i]));
}
}
///////////////////////////////////////////////////////////////////////////////
// Main program
///////////////////////////////////////////////////////////////////////////////
#define DO_CPU
#undef DO_CPU
#define PRINT_RESULTS
#undef PRINT_RESULTS
void usage() {
printf("--method=[threaded,streamed] --scaling=[strong,weak] [--help]\n");
printf("Method=threaded: 1 CPU thread for each GPU [default]\n");
printf(
" streamed: 1 CPU thread handles all GPUs (requires CUDA 4.0 or "
"newer)\n");
printf("Scaling=strong : constant problem size\n");
printf(
" weak : problem size scales with number of available GPUs "
"[default]\n");
}
int main(int argc, char **argv) {
char *multiMethodChoice = NULL;
char *scalingChoice = NULL;
bool use_threads = true;
bool bqatest = false;
bool strongScaling = false;
pArgc = &argc;
pArgv = argv;
printf("%s Starting...\n\n", argv[0]);
if (checkCmdLineFlag(argc, (const char **)argv, "qatest")) {
bqatest = true;
}
getCmdLineArgumentString(argc, (const char **)argv, "method",
&multiMethodChoice);
getCmdLineArgumentString(argc, (const char **)argv, "scaling",
&scalingChoice);
if (checkCmdLineFlag(argc, (const char **)argv, "h") ||
checkCmdLineFlag(argc, (const char **)argv, "help")) {
usage();
exit(EXIT_SUCCESS);
}
if (multiMethodChoice == NULL) {
use_threads = false;
} else {
if (!strcasecmp(multiMethodChoice, "threaded")) {
use_threads = true;
} else {
use_threads = false;
}
}
if (use_threads == false) {
printf("Using single CPU thread for multiple GPUs\n");
}
if (scalingChoice == NULL) {
strongScaling = false;
} else {
if (!strcasecmp(scalingChoice, "strong")) {
strongScaling = true;
} else {
strongScaling = false;
}
}
// GPU number present in the system
int GPU_N;
checkCudaErrors(cudaGetDeviceCount(&GPU_N));
int nOptions = 8 * 1024;
nOptions = adjustProblemSize(GPU_N, nOptions);
// select problem size
int scale = (strongScaling) ? 1 : GPU_N;
int OPT_N = nOptions * scale;
int PATH_N = 262144;
// initialize the timers
hTimer = new StopWatchInterface *[GPU_N];
for (int i = 0; i < GPU_N; i++) {
sdkCreateTimer(&hTimer[i]);
sdkResetTimer(&hTimer[i]);
}
// Input data array
TOptionData *optionData = new TOptionData[OPT_N];
// Final GPU MC results
TOptionValue *callValueGPU = new TOptionValue[OPT_N];
//"Theoretical" call values by Black-Scholes formula
float *callValueBS = new float[OPT_N];
// Solver config
TOptionPlan *optionSolver = new TOptionPlan[GPU_N];
// OS thread ID
CUTThread *threadID = new CUTThread[GPU_N];
int gpuBase, gpuIndex;
int i;
float time;
double delta, ref, sumDelta, sumRef, sumReserve;
printf("MonteCarloMultiGPU\n");
printf("==================\n");
printf("Parallelization method = %s\n",
use_threads ? "threaded" : "streamed");
printf("Problem scaling = %s\n", strongScaling ? "strong" : "weak");
printf("Number of GPUs = %d\n", GPU_N);
printf("Total number of options = %d\n", OPT_N);
printf("Number of paths = %d\n", PATH_N);
printf("main(): generating input data...\n");
srand(123);
for (i = 0; i < OPT_N; i++) {
optionData[i].S = randFloat(5.0f, 50.0f);
optionData[i].X = randFloat(10.0f, 25.0f);
optionData[i].T = randFloat(1.0f, 5.0f);
optionData[i].R = 0.06f;
optionData[i].V = 0.10f;
callValueGPU[i].Expected = -1.0f;
callValueGPU[i].Confidence = -1.0f;
}
printf("main(): starting %i host threads...\n", GPU_N);
// Get option count for each GPU
for (i = 0; i < GPU_N; i++) {
optionSolver[i].optionCount = OPT_N / GPU_N;
}
// Take into account cases with "odd" option counts
for (i = 0; i < (OPT_N % GPU_N); i++) {
optionSolver[i].optionCount++;
}
// Assign GPU option ranges
gpuBase = 0;
for (i = 0; i < GPU_N; i++) {
optionSolver[i].device = i;
optionSolver[i].optionData = optionData + gpuBase;
optionSolver[i].callValue = callValueGPU + gpuBase;
optionSolver[i].pathN = PATH_N;
optionSolver[i].gridSize =
adjustGridSize(optionSolver[i].device, optionSolver[i].optionCount);
gpuBase += optionSolver[i].optionCount;
}
if (use_threads || bqatest) {
// Start CPU thread for each GPU
for (gpuIndex = 0; gpuIndex < GPU_N; gpuIndex++) {
threadID[gpuIndex] = cutStartThread((CUT_THREADROUTINE)solverThread,
&optionSolver[gpuIndex]);
}
printf("main(): waiting for GPU results...\n");
cutWaitForThreads(threadID, GPU_N);
printf("main(): GPU statistics, threaded\n");
for (i = 0; i < GPU_N; i++) {
cudaDeviceProp deviceProp;
checkCudaErrors(
cudaGetDeviceProperties(&deviceProp, optionSolver[i].device));
printf("GPU Device #%i: %s\n", optionSolver[i].device, deviceProp.name);
printf("Options : %i\n", optionSolver[i].optionCount);
printf("Simulation paths: %i\n", optionSolver[i].pathN);
time = sdkGetTimerValue(&hTimer[i]);
printf("Total time (ms.): %f\n", time);
printf("Options per sec.: %f\n", OPT_N / (time * 0.001));
}
printf("main(): comparing Monte Carlo and Black-Scholes results...\n");
sumDelta = 0;
sumRef = 0;
sumReserve = 0;
for (i = 0; i < OPT_N; i++) {
BlackScholesCall(callValueBS[i], optionData[i]);
delta = fabs(callValueBS[i] - callValueGPU[i].Expected);
ref = callValueBS[i];
sumDelta += delta;
sumRef += fabs(ref);
if (delta > 1e-6) {
sumReserve += callValueGPU[i].Confidence / delta;
}
#ifdef PRINT_RESULTS
printf("BS: %f; delta: %E\n", callValueBS[i], delta);
#endif
}
sumReserve /= OPT_N;
}
if (!use_threads || bqatest) {
multiSolver(optionSolver, GPU_N);
printf("main(): GPU statistics, streamed\n");
for (i = 0; i < GPU_N; i++) {
cudaDeviceProp deviceProp;
checkCudaErrors(
cudaGetDeviceProperties(&deviceProp, optionSolver[i].device));
printf("GPU Device #%i: %s\n", optionSolver[i].device, deviceProp.name);
printf("Options : %i\n", optionSolver[i].optionCount);
printf("Simulation paths: %i\n", optionSolver[i].pathN);
}
time = sdkGetTimerValue(&hTimer[0]);
printf("\nTotal time (ms.): %f\n", time);
printf("\tNote: This is elapsed time for all to compute.\n");
printf("Options per sec.: %f\n", OPT_N / (time * 0.001));
printf("main(): comparing Monte Carlo and Black-Scholes results...\n");
sumDelta = 0;
sumRef = 0;
sumReserve = 0;
for (i = 0; i < OPT_N; i++) {
BlackScholesCall(callValueBS[i], optionData[i]);
delta = fabs(callValueBS[i] - callValueGPU[i].Expected);
ref = callValueBS[i];
sumDelta += delta;
sumRef += fabs(ref);
if (delta > 1e-6) {
sumReserve += callValueGPU[i].Confidence / delta;
}
#ifdef PRINT_RESULTS
printf("BS: %f; delta: %E\n", callValueBS[i], delta);
#endif
}
sumReserve /= OPT_N;
}
#ifdef DO_CPU
printf("main(): running CPU MonteCarlo...\n");
TOptionValue callValueCPU;
sumDelta = 0;
sumRef = 0;
for (i = 0; i < OPT_N; i++) {
MonteCarloCPU(callValueCPU, optionData[i], NULL, PATH_N);
delta = fabs(callValueCPU.Expected - callValueGPU[i].Expected);
ref = callValueCPU.Expected;
sumDelta += delta;
sumRef += fabs(ref);
printf("Exp : %f | %f\t", callValueCPU.Expected, callValueGPU[i].Expected);
printf("Conf: %f | %f\n", callValueCPU.Confidence,
callValueGPU[i].Confidence);
}
printf("L1 norm: %E\n", sumDelta / sumRef);
#endif
printf("Shutting down...\n");
for (int i = 0; i < GPU_N; i++) {
sdkStartTimer(&hTimer[i]);
checkCudaErrors(cudaSetDevice(i));
}
delete[] optionSolver;
delete[] callValueBS;
delete[] callValueGPU;
delete[] optionData;
delete[] threadID;
delete[] hTimer;
printf("Test Summary...\n");
printf("L1 norm : %E\n", sumDelta / sumRef);
printf("Average reserve: %f\n", sumReserve);
printf(
"\nNOTE: The CUDA Samples are not meant for performance measurements. "
"Results may vary when GPU Boost is enabled.\n\n");
printf(sumReserve > 1.0f ? "Test passed\n" : "Test failed!\n");
exit(sumReserve > 1.0f ? EXIT_SUCCESS : EXIT_FAILURE);
}

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GlobalSection(SolutionConfigurationPlatforms) = preSolution
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EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
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{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
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<CudaToolkitCustomDir />
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<PropertyGroup Condition="'$(WindowsTargetPlatformVersion)'==''">
<LatestTargetPlatformVersion>$([Microsoft.Build.Utilities.ToolLocationHelper]::GetLatestSDKTargetPlatformVersion('Windows', '10.0'))</LatestTargetPlatformVersion>
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<CodeAnalysisRules />
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<Link>
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<CudaCompile>
<Runtime>MTd</Runtime>
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</CudaCompile>
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<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
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</ClCompile>
<Link>
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<LinkTimeCodeGeneration>UseLinkTimeCodeGeneration</LinkTimeCodeGeneration>
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<CudaCompile>
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Microsoft Visual Studio Solution File, Format Version 12.00
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EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|x64 = Debug|x64
Release|x64 = Release|x64
EndGlobalSection
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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GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
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@@ -0,0 +1,115 @@
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View File

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/* Copyright (c) 2021, 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 MONTECARLO_COMMON_H
#define MONTECARLO_COMMON_H
#include "realtype.h"
#include "curand_kernel.h"
////////////////////////////////////////////////////////////////////////////////
// Global types
////////////////////////////////////////////////////////////////////////////////
typedef struct {
float S;
float X;
float T;
float R;
float V;
} TOptionData;
typedef struct
//#ifdef __CUDACC__
//__align__(8)
//#endif
{
float Expected;
float Confidence;
} TOptionValue;
// GPU outputs before CPU postprocessing
typedef struct {
real Expected;
real Confidence;
} __TOptionValue;
typedef struct {
// Device ID for multi-GPU version
int device;
// Option count for this plan
int optionCount;
// Host-side data source and result destination
TOptionData *optionData;
TOptionValue *callValue;
// Temporary Host-side pinned memory for async + faster data transfers
__TOptionValue *h_CallValue;
// Device- and host-side option data
void *d_OptionData;
void *h_OptionData;
// Device-side option values
void *d_CallValue;
// Intermediate device-side buffers
void *d_Buffer;
// random number generator states
curandState *rngStates;
// Pseudorandom samples count
int pathN;
// Time stamp
float time;
int gridSize;
} TOptionPlan;
extern "C" void initMonteCarloGPU(TOptionPlan *plan);
extern "C" void MonteCarloGPU(TOptionPlan *plan, cudaStream_t stream = 0);
extern "C" void closeMonteCarloGPU(TOptionPlan *plan);
#endif

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@@ -0,0 +1,140 @@
/* Copyright (c) 2021, 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 <stdlib.h>
#include <math.h>
#include <curand.h>
//#include "curand_kernel.h"
#include "helper_cuda.h"
////////////////////////////////////////////////////////////////////////////////
// Common types
////////////////////////////////////////////////////////////////////////////////
#include "MonteCarlo_common.h"
////////////////////////////////////////////////////////////////////////////////
// Black-Scholes formula for Monte Carlo results validation
////////////////////////////////////////////////////////////////////////////////
#define A1 0.31938153
#define A2 -0.356563782
#define A3 1.781477937
#define A4 -1.821255978
#define A5 1.330274429
#define RSQRT2PI 0.39894228040143267793994605993438
// Polynomial approximation of
// cumulative normal distribution function
double CND(double d) {
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 call value
extern "C" void BlackScholesCall(float &callValue, 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);
double expRT = exp(-R * T);
callValue = (float)(S * CNDD1 - X * expRT * CNDD2);
}
////////////////////////////////////////////////////////////////////////////////
// CPU Monte Carlo
////////////////////////////////////////////////////////////////////////////////
static double endCallValue(double S, double X, double r, double MuByT,
double VBySqrtT) {
double callValue = S * exp(MuByT + VBySqrtT * r) - X;
return (callValue > 0) ? callValue : 0;
}
extern "C" void MonteCarloCPU(TOptionValue &callValue, TOptionData optionData,
float *h_Samples, int pathN) {
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 MuByT = (R - 0.5 * V * V) * T;
const double VBySqrtT = V * sqrt(T);
float *samples;
curandGenerator_t gen;
checkCudaErrors(curandCreateGeneratorHost(&gen, CURAND_RNG_PSEUDO_DEFAULT));
unsigned long long seed = 1234ULL;
checkCudaErrors(curandSetPseudoRandomGeneratorSeed(gen, seed));
if (h_Samples != NULL) {
samples = h_Samples;
} else {
samples = (float *)malloc(pathN * sizeof(float));
checkCudaErrors(curandGenerateNormal(gen, samples, pathN, 0.0, 1.0));
}
// for(int i=0; i<10; i++) printf("CPU sample = %f\n", samples[i]);
double sum = 0, sum2 = 0;
for (int pos = 0; pos < pathN; pos++) {
double sample = samples[pos];
double callValue = endCallValue(S, X, sample, MuByT, VBySqrtT);
sum += callValue;
sum2 += callValue * callValue;
}
if (h_Samples == NULL) free(samples);
checkCudaErrors(curandDestroyGenerator(gen));
// Derive average from the total sum and discount by riskfree rate
callValue.Expected = (float)(exp(-R * T) * sum / (double)pathN);
// Standard deviation
double stdDev = sqrt(((double)pathN * sum2 - sum * sum) /
((double)pathN * (double)(pathN - 1)));
// Confidence width; in 95% of all cases theoretical value lies within these
// borders
callValue.Confidence =
(float)(exp(-R * T) * 1.96 * stdDev / sqrt((double)pathN));
}

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/* Copyright (c) 2021, 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
////////////////////////////////////////////////////////////////////////////////
#include <stdlib.h>
#include <stdio.h>
#include <cooperative_groups.h>
namespace cg = cooperative_groups;
#include <helper_cuda.h>
#include <curand_kernel.h>
#include "MonteCarlo_common.h"
////////////////////////////////////////////////////////////////////////////////
// Helper reduction template
// Please see the "reduction" CUDA Sample for more information
////////////////////////////////////////////////////////////////////////////////
#include "MonteCarlo_reduction.cuh"
////////////////////////////////////////////////////////////////////////////////
// Internal GPU-side data structures
////////////////////////////////////////////////////////////////////////////////
#define MAX_OPTIONS (1024 * 1024)
// Preprocessed input option data
typedef struct {
real S;
real X;
real MuByT;
real VBySqrtT;
} __TOptionData;
////////////////////////////////////////////////////////////////////////////////
// Overloaded shortcut payoff functions for different precision modes
////////////////////////////////////////////////////////////////////////////////
__device__ inline float endCallValue(float S, float X, float r, float MuByT,
float VBySqrtT) {
float callValue = S * __expf(MuByT + VBySqrtT * r) - X;
return (callValue > 0.0F) ? callValue : 0.0F;
}
__device__ inline double endCallValue(double S, double X, double r,
double MuByT, double VBySqrtT) {
double callValue = S * exp(MuByT + VBySqrtT * r) - X;
return (callValue > 0.0) ? callValue : 0.0;
}
#define THREAD_N 256
////////////////////////////////////////////////////////////////////////////////
// This kernel computes the integral over all paths using a single thread block
// per option. It is fastest when the number of thread blocks times the work per
// block is high enough to keep the GPU busy.
////////////////////////////////////////////////////////////////////////////////
static __global__ void MonteCarloOneBlockPerOption(
curandState *__restrict rngStates,
const __TOptionData *__restrict d_OptionData,
__TOptionValue *__restrict d_CallValue, int pathN, int optionN) {
// Handle to thread block group
cg::thread_block cta = cg::this_thread_block();
cg::thread_block_tile<32> tile32 = cg::tiled_partition<32>(cta);
const int SUM_N = THREAD_N;
__shared__ real s_SumCall[SUM_N];
__shared__ real s_Sum2Call[SUM_N];
// determine global thread id
int tid = threadIdx.x + blockIdx.x * blockDim.x;
// Copy random number state to local memory for efficiency
curandState localState = rngStates[tid];
for (int optionIndex = blockIdx.x; optionIndex < optionN;
optionIndex += gridDim.x) {
const real S = d_OptionData[optionIndex].S;
const real X = d_OptionData[optionIndex].X;
const real MuByT = d_OptionData[optionIndex].MuByT;
const real VBySqrtT = d_OptionData[optionIndex].VBySqrtT;
// Cycle through the entire samples array:
// derive end stock price for each path
// accumulate partial integrals into intermediate shared memory buffer
for (int iSum = threadIdx.x; iSum < SUM_N; iSum += blockDim.x) {
__TOptionValue sumCall = {0, 0};
#pragma unroll 8
for (int i = iSum; i < pathN; i += SUM_N) {
real r = curand_normal(&localState);
real callValue = endCallValue(S, X, r, MuByT, VBySqrtT);
sumCall.Expected += callValue;
sumCall.Confidence += callValue * callValue;
}
s_SumCall[iSum] = sumCall.Expected;
s_Sum2Call[iSum] = sumCall.Confidence;
}
// Reduce shared memory accumulators
// and write final result to global memory
cg::sync(cta);
sumReduce<real, SUM_N, THREAD_N>(s_SumCall, s_Sum2Call, cta, tile32,
&d_CallValue[optionIndex]);
}
}
static __global__ void rngSetupStates(curandState *rngState, int device_id) {
// determine global thread id
int tid = threadIdx.x + blockIdx.x * blockDim.x;
// Each threadblock gets different seed,
// Threads within a threadblock get different sequence numbers
curand_init(blockIdx.x + gridDim.x * device_id, threadIdx.x, 0,
&rngState[tid]);
}
////////////////////////////////////////////////////////////////////////////////
// Host-side interface to GPU Monte Carlo
////////////////////////////////////////////////////////////////////////////////
extern "C" void initMonteCarloGPU(TOptionPlan *plan) {
checkCudaErrors(cudaMalloc(&plan->d_OptionData,
sizeof(__TOptionData) * (plan->optionCount)));
checkCudaErrors(cudaMalloc(&plan->d_CallValue,
sizeof(__TOptionValue) * (plan->optionCount)));
checkCudaErrors(cudaMallocHost(&plan->h_OptionData,
sizeof(__TOptionData) * (plan->optionCount)));
// Allocate internal device memory
checkCudaErrors(cudaMallocHost(&plan->h_CallValue,
sizeof(__TOptionValue) * (plan->optionCount)));
// Allocate states for pseudo random number generators
checkCudaErrors(cudaMalloc((void **)&plan->rngStates,
plan->gridSize * THREAD_N * sizeof(curandState)));
checkCudaErrors(cudaMemset(plan->rngStates, 0,
plan->gridSize * THREAD_N * sizeof(curandState)));
// place each device pathN random numbers apart on the random number sequence
rngSetupStates<<<plan->gridSize, THREAD_N>>>(plan->rngStates, plan->device);
getLastCudaError("rngSetupStates kernel failed.\n");
}
// Compute statistics and deallocate internal device memory
extern "C" void closeMonteCarloGPU(TOptionPlan *plan) {
for (int i = 0; i < plan->optionCount; i++) {
const double RT = plan->optionData[i].R * plan->optionData[i].T;
const double sum = plan->h_CallValue[i].Expected;
const double sum2 = plan->h_CallValue[i].Confidence;
const double pathN = plan->pathN;
// Derive average from the total sum and discount by riskfree rate
plan->callValue[i].Expected = (float)(exp(-RT) * sum / pathN);
// Standard deviation
double stdDev = sqrt((pathN * sum2 - sum * sum) / (pathN * (pathN - 1)));
// Confidence width; in 95% of all cases theoretical value lies within these
// borders
plan->callValue[i].Confidence =
(float)(exp(-RT) * 1.96 * stdDev / sqrt(pathN));
}
checkCudaErrors(cudaFree(plan->rngStates));
checkCudaErrors(cudaFreeHost(plan->h_CallValue));
checkCudaErrors(cudaFreeHost(plan->h_OptionData));
checkCudaErrors(cudaFree(plan->d_CallValue));
checkCudaErrors(cudaFree(plan->d_OptionData));
}
// Main computations
extern "C" void MonteCarloGPU(TOptionPlan *plan, cudaStream_t stream) {
__TOptionValue *h_CallValue = plan->h_CallValue;
if (plan->optionCount <= 0 || plan->optionCount > MAX_OPTIONS) {
printf("MonteCarloGPU(): bad option count.\n");
return;
}
__TOptionData *h_OptionData = (__TOptionData *)plan->h_OptionData;
for (int i = 0; i < plan->optionCount; i++) {
const double T = plan->optionData[i].T;
const double R = plan->optionData[i].R;
const double V = plan->optionData[i].V;
const double MuByT = (R - 0.5 * V * V) * T;
const double VBySqrtT = V * sqrt(T);
h_OptionData[i].S = (real)plan->optionData[i].S;
h_OptionData[i].X = (real)plan->optionData[i].X;
h_OptionData[i].MuByT = (real)MuByT;
h_OptionData[i].VBySqrtT = (real)VBySqrtT;
}
checkCudaErrors(cudaMemcpyAsync(plan->d_OptionData, h_OptionData,
plan->optionCount * sizeof(__TOptionData),
cudaMemcpyHostToDevice, stream));
MonteCarloOneBlockPerOption<<<plan->gridSize, THREAD_N, 0, stream>>>(
plan->rngStates, (__TOptionData *)(plan->d_OptionData),
(__TOptionValue *)(plan->d_CallValue), plan->pathN, plan->optionCount);
getLastCudaError("MonteCarloOneBlockPerOption() execution failed\n");
checkCudaErrors(cudaMemcpyAsync(h_CallValue, plan->d_CallValue,
plan->optionCount * sizeof(__TOptionValue),
cudaMemcpyDeviceToHost, stream));
// cudaDeviceSynchronize();
}

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/* Copyright (c) 2021, 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 MONTECARLO_REDUCTION_CUH
#define MONTECARLO_REDUCTION_CUH
#include <cooperative_groups.h>
namespace cg = cooperative_groups;
////////////////////////////////////////////////////////////////////////////////
// This function calculates total sum for each of the two input arrays.
// SUM_N must be power of two
// Unrolling provides a bit of a performance improvement for small
// to medium path counts.
////////////////////////////////////////////////////////////////////////////////
template <class T, int SUM_N, int blockSize>
__device__ void sumReduce(T *sum, T *sum2, cg::thread_block &cta,
cg::thread_block_tile<32> &tile32,
__TOptionValue *d_CallValue) {
const int VEC = 32;
const int tid = cta.thread_rank();
T beta = sum[tid];
T beta2 = sum2[tid];
T temp, temp2;
for (int i = VEC / 2; i > 0; i >>= 1) {
if (tile32.thread_rank() < i) {
temp = sum[tid + i];
temp2 = sum2[tid + i];
beta += temp;
beta2 += temp2;
sum[tid] = beta;
sum2[tid] = beta2;
}
cg::sync(tile32);
}
cg::sync(cta);
if (tid == 0) {
beta = 0;
beta2 = 0;
for (int i = 0; i < blockDim.x; i += VEC) {
beta += sum[i];
beta2 += sum2[i];
}
__TOptionValue t = {beta, beta2};
*d_CallValue = t;
}
cg::sync(cta);
}
#endif

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE entry SYSTEM "SamplesInfo.dtd">
<entry>
<name>MonteCarloMultiGPU</name>
<description><![CDATA[This sample evaluates fair call price for a given set of European options using the Monte Carlo approach, taking advantage of all CUDA-capable GPUs installed in the system. This sample use double precision hardware if a GTX 200 class GPU is present. The sample also takes advantage of CUDA 4.0 capability to supporting using a single CPU thread to control multiple GPUs]]></description>
<devicecompilation>whole</devicecompilation>
<includepaths>
<path>./</path>
<path>../</path>
<path>../../Common</path>
</includepaths>
<keywords>
<keyword>CUDA</keyword>
<keyword>CURAND</keyword>
<keyword>Computational Finance</keyword>
<keyword>option pricing</keyword>
<keyword>Monte Carlo</keyword>
<keyword>multi-GPU support</keyword>
</keywords>
<libraries>
<library>curand</library>
</libraries>
<librarypaths>
</librarypaths>
<nsight_eclipse>true</nsight_eclipse>
<primary_file>MonteCarloMultiGPU.cpp</primary_file>
<required_dependencies>
<dependency>CURAND</dependency>
</required_dependencies>
<scopes>
<scope>1:CUDA Advanced Topics</scope>
<scope>1:Performance Strategies</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>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>
<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>ppc64le</arch>
<platform>linux</platform>
</env>
</supported_envs>
<supported_sm_architectures>
<include>all</include>
</supported_sm_architectures>
<title>Monte Carlo Option Pricing with Multi-GPU support</title>
<type>exe</type>
<whitepaper>doc\MonteCarlo.pdf</whitepaper>
</entry>

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# MonteCarloMultiGPU - Monte Carlo Option Pricing with Multi-GPU support
## Description
This sample evaluates fair call price for a given set of European options using the Monte Carlo approach, taking advantage of all CUDA-capable GPUs installed in the system. This sample use double precision hardware if a GTX 200 class GPU is present. The sample also takes advantage of CUDA 4.0 capability to supporting using a single CPU thread to control multiple GPUs
## Key Concepts
## 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 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)
## Supported OSes
Linux, Windows
## Supported CPU Architecture
x86_64, ppc64le, armv7l
## CUDA APIs involved
## Dependencies needed to build/run
[CURAND](../../README.md#curand)
## Prerequisites
Download and install the [CUDA Toolkit 11.5](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, 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) 2021, 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 <multithreading.h>
#if defined(WIN32) || defined(_WIN32) || defined(WIN64) || defined(_WIN64)
// Create thread
CUTThread cutStartThread(CUT_THREADROUTINE func, void *data) {
return CreateThread(NULL, 0, (LPTHREAD_START_ROUTINE)func, data, 0, NULL);
}
// Wait for thread to finish
void cutEndThread(CUTThread thread) {
WaitForSingleObject(thread, INFINITE);
CloseHandle(thread);
}
// Wait for multiple threads
void cutWaitForThreads(const CUTThread *threads, int num) {
WaitForMultipleObjects(num, threads, true, INFINITE);
for (int i = 0; i < num; i++) {
CloseHandle(threads[i]);
}
}
#else
// Create thread
CUTThread cutStartThread(CUT_THREADROUTINE func, void *data) {
pthread_t thread;
pthread_create(&thread, NULL, func, data);
return thread;
}
// Wait for thread to finish
void cutEndThread(CUTThread thread) { pthread_join(thread, NULL); }
// Wait for multiple threads
void cutWaitForThreads(const CUTThread *threads, int num) {
for (int i = 0; i < num; i++) {
cutEndThread(threads[i]);
}
}
#endif

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/* Copyright (c) 2021, 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 MULTITHREADING_H
#define MULTITHREADING_H
// Simple portable thread library.
#if defined(WIN32) || defined(_WIN32) || defined(WIN64) || defined(_WIN64)
// Windows threads.
#include <windows.h>
typedef HANDLE CUTThread;
typedef unsigned(WINAPI *CUT_THREADROUTINE)(void *);
#define CUT_THREADPROC unsigned WINAPI
#define CUT_THREADEND return 0
#else
// POSIX threads.
#include <pthread.h>
typedef pthread_t CUTThread;
typedef void *(*CUT_THREADROUTINE)(void *);
#define CUT_THREADPROC void
#define CUT_THREADEND
#endif
#ifdef __cplusplus
extern "C" {
#endif
// Create thread.
CUTThread cutStartThread(CUT_THREADROUTINE, void *data);
// Wait for thread to finish.
void cutEndThread(CUTThread thread);
// Wait for multiple threads.
void cutWaitForThreads(const CUTThread *threads, int num);
#ifdef __cplusplus
} // extern "C"
#endif
#endif // MULTITHREADING_H

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/* Copyright (c) 2021, 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
//#define DOUBLE_PRECISION
#ifndef DOUBLE_PRECISION
typedef float real;
#else
typedef double real;
#endif
#endif