You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
198 lines
6.4 KiB
198 lines
6.4 KiB
/* 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); |
|
}
|
|
|