Ported stream benchmark.

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Allen 2021-01-09 21:46:17 +08:00
parent 022d9065d3
commit ce05c7b079
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apps/stream/Makefile Normal file
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NAME = stream
SRCS = $(shell find -L ./src/ -name "*.c" -o -name "*.cpp")
include $(AM_HOME)/Makefile.app

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===============================================
STREAM is the de facto industry standard benchmark
for measuring sustained memory bandwidth.
Documentation for STREAM is on the web at:
http://www.cs.virginia.edu/stream/ref.html
===============================================
NEWS
===============================================
UPDATE: October 28 2014:
"stream_mpi.c" released in the Versions directory.
Based on Version 5.10 of stream.c, stream_mpi.c
brings the following new features:
* MPI implementation that *distributes* the arrays
across all MPI ranks. (The older Fortran version
of STREAM in MPI *replicates* the arrays across
all MPI ranks.)
* Data is allocated using "posix_memalign"
rather than using static arrays. Different
compiler flags may be needed for both portability
and optimization.
See the READ.ME file in the Versions directory
for more details.
* Error checking and timing done by all ranks and
gathered by rank 0 for processing and output.
* Timing code uses barriers to ensure correct
operation even when multiple MPI ranks run on
shared memory systems.
NOTE: MPI is not a preferred implementation for
STREAM, which is intended to measure memory
bandwidth in shared-memory systems. In stream_mpi,
the MPI calls are only used to properly synchronize
the timers (using MPI_Barrier) and to gather
timing and error data, so the performance should
scale linearly with the size of the cluster.
But it may be useful, and was an interesting
exercise to develop and debug.
===============================================
UPDATE: January 17 2013:
Version 5.10 of stream.c is finally available!
There are no changes to what is being measured, but
a number of long-awaited improvements have been made:
* Updated validation code does not suffer from
accumulated roundoff error for large arrays.
* Defining the preprocessor variable "VERBOSE"
when compiling will (1) cause the code to print the
measured average relative absolute error (rather than
simply printing "Solution Validates", and (2) print
the first 10 array entries with relative error exceeding
the error tolerance.
* Array index variables have been upgraded from
"int" to "ssize_t" to allow arrays with more
than 2 billion elements on 64-bit systems.
* Substantial improvements to the comments in
the source on how to configure/compile/run the
benchmark.
* The proprocessor variable controlling the array
size has been changed from "N" to "STREAM_ARRAY_SIZE".
* A new preprocessor variable "STREAM_TYPE" can be
used to override the data type from the default
"double" to "float".
This mechanism could also be used to change to
non-floating-point types, but several "printf"
statements would need to have their formats changed
to accomodate the modified data type.
* Some small changes in output, including printing
array sizes is GiB as well as MiB.
* Change to the default output format to print fewer
decimals for the bandwidth and more decimals for
the min/max/avg execution times.
===============================================
UPDATE: February 19 2009:
The most recent "official" versions have been renamed
"stream.f" and "stream.c" -- all other versions have
been moved to the "Versions" subdirectory and should be
considered obsolete.
The "official" timer (was "second_wall.c") has been
renamed "mysecond.c". This is embedded in the C version
("stream.c"), but still needs to be externally linked to
the FORTRAN version ("stream.f"). The new version defines
entry points both with and without trailing underscores,
so it *should* link automagically with any Fortran compiler.
===============================================
STREAM is a project of "Dr. Bandwidth":
John D. McCalpin, Ph.D.
john@mccalpin.com
===============================================
The STREAM web and ftp sites are currently hosted at
the Department of Computer Science at the University of
Virginia under the generous sponsorship of Professor Bill
Wulf and Professor Alan Batson.
===============================================

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#ifndef __BENCHMARK_H__
#define __BENCHMARK_H__
#include <am.h>
#include <klib.h>
#include <klib-macros.h>
#ifdef __cplusplus
extern "C" {
#endif
#define MB * 1024 * 1024
#define KB * 1024
#define REF_CPU "i7-7700K @ 4.20GHz"
#define REF_SCORE 100000
#define REPEAT 1
// size | heap | time | checksum
#define QSORT_S { 100, 1 KB, 0, 0x08467105}
#define QSORT_M { 30000, 128 KB, 0, 0xa3e99fe4}
#define QSORT_L { 100000, 640 KB, 5114, 0xed8cff89}
#define QUEEN_S { 8, 0 KB, 0, 0x0000005c}
#define QUEEN_M { 11, 0 KB, 0, 0x00000a78}
#define QUEEN_L { 12, 0 KB, 4707, 0x00003778}
#define BF_S { 2, 32 KB, 0, 0xa6f0079e}
#define BF_M { 25, 32 KB, 0, 0xa88f8a65}
#define BF_L { 180, 32 KB, 23673, 0x9221e2b3}
#define FIB_S { 2, 1 KB, 0, 0x7cfeddf0}
#define FIB_M { 23, 16 KB, 0, 0x94ad8800}
#define FIB_L { 91, 256 KB, 28318, 0xebdc5f80}
#define SIEVE_S { 100, 1 KB, 0, 0x00000019}
#define SIEVE_M { 200000, 32 KB, 0, 0x00004640}
#define SIEVE_L {10000000, 2 MB, 39361, 0x000a2403}
#define PZ15_S { 0, 1 KB, 0, 0x00000006}
#define PZ15_M { 1, 256 KB, 0, 0x0000b0df}
#define PZ15_L { 2, 2 MB, 4486, 0x00068b8c}
#define DINIC_S { 10, 8 KB, 0, 0x0000019c}
#define DINIC_M { 80, 512 KB, 0, 0x00004f99}
#define DINIC_L { 128, 1 MB, 10882, 0x0000c248}
#define LZIP_S { 128, 128 KB, 0, 0xe05fc832}
#define LZIP_M { 50000, 1 MB, 0, 0xdc93e90c}
#define LZIP_L { 1048576, 4 MB, 7593, 0x8d62c81f}
#define SSORT_S { 100, 4 KB, 0, 0x4c555e09}
#define SSORT_M { 10000, 512 KB, 0, 0x0db7909b}
#define SSORT_L { 100000, 4 MB, 4504, 0x4f0ab431}
#define MD5_S { 100, 1 KB, 0, 0xf902f28f}
#define MD5_M { 200000, 256 KB, 0, 0xd4f9bc6d}
#define MD5_L {10000000, 16 MB, 17239, 0x27286a42}
#define BENCHMARK_LIST(def) \
def(qsort, "qsort", QSORT_S, QSORT_M, QSORT_L, "Quick sort") \
def(queen, "queen", QUEEN_S, QUEEN_M, QUEEN_L, "Queen placement") \
def( bf, "bf", BF_S, BF_M, BF_L, "Brainf**k interpreter") \
def( fib, "fib", FIB_S, FIB_M, FIB_L, "Fibonacci number") \
def(sieve, "sieve", SIEVE_S, SIEVE_M, SIEVE_L, "Eratosthenes sieve") \
def( 15pz, "15pz", PZ15_S, PZ15_M, PZ15_L, "A* 15-puzzle search") \
def(dinic, "dinic", DINIC_S, DINIC_M, DINIC_L, "Dinic's maxflow algorithm") \
def( lzip, "lzip", LZIP_S, LZIP_M, LZIP_L, "Lzip compression") \
def(ssort, "ssort", SSORT_S, SSORT_M, SSORT_L, "Suffix sort") \
def( md5, "md5", MD5_S, MD5_M, MD5_L, "MD5 digest") \
// Each benchmark will run REPEAT times
#define DECL(_name, _sname, _s, _m, _l, _desc) \
void bench_##_name##_prepare(); \
void bench_##_name##_run(); \
int bench_##_name##_validate();
BENCHMARK_LIST(DECL)
typedef struct Setting {
int size;
unsigned long mlim, ref;
uint32_t checksum;
} Setting;
typedef struct Benchmark {
void (*prepare)();
void (*run)();
int (*validate)();
const char *name, *desc;
Setting settings[3];
} Benchmark;
extern Benchmark *current;
extern Setting *setting;
typedef struct Result {
int pass;
unsigned long tsc, msec;
} Result;
void prepare(Result *res);
void done(Result *res);
// memory allocation
void* bench_alloc(size_t size);
void bench_free(void *ptr);
// random number generator
void bench_srand(uint32_t seed);
uint32_t bench_rand(); // return a random number between 0..32767
// checksum
uint32_t checksum(void *start, void *end);
#ifdef __cplusplus
}
#endif
#endif

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/*-----------------------------------------------------------------------*/
/* Program: STREAM */
/* Revision: $Id: stream.c,v 5.10 2013/01/17 16:01:06 mccalpin Exp mccalpin $ */
/* Original code developed by John D. McCalpin */
/* Programmers: John D. McCalpin */
/* Joe R. Zagar */
/* */
/* This program measures memory transfer rates in MB/s for simple */
/* computational kernels coded in C. */
/*-----------------------------------------------------------------------*/
/* Copyright 1991-2013: John D. McCalpin */
/*-----------------------------------------------------------------------*/
/* License: */
/* 1. You are free to use this program and/or to redistribute */
/* this program. */
/* 2. You are free to modify this program for your own use, */
/* including commercial use, subject to the publication */
/* restrictions in item 3. */
/* 3. You are free to publish results obtained from running this */
/* program, or from works that you derive from this program, */
/* with the following limitations: */
/* 3a. In order to be referred to as "STREAM benchmark results", */
/* published results must be in conformance to the STREAM */
/* Run Rules, (briefly reviewed below) published at */
/* http://www.cs.virginia.edu/stream/ref.html */
/* and incorporated herein by reference. */
/* As the copyright holder, John McCalpin retains the */
/* right to determine conformity with the Run Rules. */
/* 3b. Results based on modified source code or on runs not in */
/* accordance with the STREAM Run Rules must be clearly */
/* labelled whenever they are published. Examples of */
/* proper labelling include: */
/* "tuned STREAM benchmark results" */
/* "based on a variant of the STREAM benchmark code" */
/* Other comparable, clear, and reasonable labelling is */
/* acceptable. */
/* 3c. Submission of results to the STREAM benchmark web site */
/* is encouraged, but not required. */
/* 4. Use of this program or creation of derived works based on this */
/* program constitutes acceptance of these licensing restrictions. */
/* 5. Absolutely no warranty is expressed or implied. */
/*-----------------------------------------------------------------------*/
# include <klib.h>
/*-----------------------------------------------------------------------
* INSTRUCTIONS:
*
* 1) STREAM requires different amounts of memory to run on different
* systems, depending on both the system cache size(s) and the
* granularity of the system timer.
* You should adjust the value of 'STREAM_ARRAY_SIZE' (below)
* to meet *both* of the following criteria:
* (a) Each array must be at least 4 times the size of the
* available cache memory. I don't worry about the difference
* between 10^6 and 2^20, so in practice the minimum array size
* is about 3.8 times the cache size.
* Example 1: One Xeon E3 with 8 MB L3 cache
* STREAM_ARRAY_SIZE should be >= 4 million, giving
* an array size of 30.5 MB and a total memory requirement
* of 91.5 MB.
* Example 2: Two Xeon E5's with 20 MB L3 cache each (using OpenMP)
* STREAM_ARRAY_SIZE should be >= 20 million, giving
* an array size of 153 MB and a total memory requirement
* of 458 MB.
* (b) The size should be large enough so that the 'timing calibration'
* output by the program is at least 20 clock-ticks.
* Example: most versions of Windows have a 10 millisecond timer
* granularity. 20 "ticks" at 10 ms/tic is 200 milliseconds.
* If the chip is capable of 10 GB/s, it moves 2 GB in 200 msec.
* This means the each array must be at least 1 GB, or 128M elements.
*
* Version 5.10 increases the default array size from 2 million
* elements to 10 million elements in response to the increasing
* size of L3 caches. The new default size is large enough for caches
* up to 20 MB.
* Version 5.10 changes the loop index variables from "register int"
* to "ssize_t", which allows array indices >2^32 (4 billion)
* on properly configured 64-bit systems. Additional compiler options
* (such as "-mcmodel=medium") may be required for large memory runs.
*
* Array size can be set at compile time without modifying the source
* code for the (many) compilers that support preprocessor definitions
* on the compile line. E.g.,
* gcc -O -DSTREAM_ARRAY_SIZE=100000000 stream.c -o stream.100M
* will override the default size of 10M with a new size of 100M elements
* per array.
*/
#ifndef STREAM_ARRAY_SIZE
# define STREAM_ARRAY_SIZE 2097152
#endif
/* 2) STREAM runs each kernel "NTIMES" times and reports the *best* result
* for any iteration after the first, therefore the minimum value
* for NTIMES is 2.
* There are no rules on maximum allowable values for NTIMES, but
* values larger than the default are unlikely to noticeably
* increase the reported performance.
* NTIMES can also be set on the compile line without changing the source
* code using, for example, "-DNTIMES=7".
*/
#ifdef NTIMES
#if NTIMES<=1
# define NTIMES 10
#endif
#endif
#ifndef NTIMES
# define NTIMES 10
#endif
/* Users are allowed to modify the "OFFSET" variable, which *may* change the
* relative alignment of the arrays (though compilers may change the
* effective offset by making the arrays non-contiguous on some systems).
* Use of non-zero values for OFFSET can be especially helpful if the
* STREAM_ARRAY_SIZE is set to a value close to a large power of 2.
* OFFSET can also be set on the compile line without changing the source
* code using, for example, "-DOFFSET=56".
*/
#ifndef OFFSET
# define OFFSET 0
#endif
/*
* 3) Compile the code with optimization. Many compilers generate
* unreasonably bad code before the optimizer tightens things up.
* If the results are unreasonably good, on the other hand, the
* optimizer might be too smart for me!
*
* For a simple single-core version, try compiling with:
* cc -O stream.c -o stream
* This is known to work on many, many systems....
*
* To use multiple cores, you need to tell the compiler to obey the OpenMP
* directives in the code. This varies by compiler, but a common example is
* gcc -O -fopenmp stream.c -o stream_omp
* The environment variable OMP_NUM_THREADS allows runtime control of the
* number of threads/cores used when the resulting "stream_omp" program
* is executed.
*
* To run with single-precision variables and arithmetic, simply add
* -DSTREAM_TYPE=float
* to the compile line.
* Note that this changes the minimum array sizes required --- see (1) above.
*
* The preprocessor directive "TUNED" does not do much -- it simply causes the
* code to call separate functions to execute each kernel. Trivial versions
* of these functions are provided, but they are *not* tuned -- they just
* provide predefined interfaces to be replaced with tuned code.
*
*
* 4) Optional: Mail the results to mccalpin@cs.virginia.edu
* Be sure to include info that will help me understand:
* a) the computer hardware configuration (e.g., processor model, memory type)
* b) the compiler name/version and compilation flags
* c) any run-time information (such as OMP_NUM_THREADS)
* d) all of the output from the test case.
*
* Thanks!
*
*-----------------------------------------------------------------------*/
# define HLINE "-------------------------------------------------------------\n"
# ifndef MIN
# define MIN(x,y) ((x)<(y)?(x):(y))
# endif
# ifndef MAX
# define MAX(x,y) ((x)>(y)?(x):(y))
# endif
#ifndef STREAM_TYPE
#define STREAM_TYPE double
#endif
static STREAM_TYPE a[STREAM_ARRAY_SIZE+OFFSET],
b[STREAM_ARRAY_SIZE+OFFSET],
c[STREAM_ARRAY_SIZE+OFFSET];
#define FLT_MAX 1E+37
static double avgtime[4] = {0}, maxtime[4] = {0},
mintime[4] = {FLT_MAX,FLT_MAX,FLT_MAX,FLT_MAX};
static char *label[4] = {"Copy: ", "Scale: ",
"Add: ", "Triad: "};
static double bytes[4] = {
2 * sizeof(STREAM_TYPE) * STREAM_ARRAY_SIZE,
2 * sizeof(STREAM_TYPE) * STREAM_ARRAY_SIZE,
3 * sizeof(STREAM_TYPE) * STREAM_ARRAY_SIZE,
3 * sizeof(STREAM_TYPE) * STREAM_ARRAY_SIZE
};
extern double mysecond();
extern void checkSTREAMresults();
#ifdef TUNED
extern void tuned_STREAM_Copy();
extern void tuned_STREAM_Scale(STREAM_TYPE scalar);
extern void tuned_STREAM_Add();
extern void tuned_STREAM_Triad(STREAM_TYPE scalar);
#endif
#ifdef _OPENMP
extern int omp_get_num_threads();
#endif
int
main()
{
int quantum, checktick();
int BytesPerWord;
int k;
long j;
STREAM_TYPE scalar;
double t, times[4][NTIMES];
/* --- SETUP --- determine precision and check timing --- */
printf(HLINE);
printf("STREAM version $Revision: 5.10 $\n");
printf(HLINE);
BytesPerWord = sizeof(STREAM_TYPE);
printf("This system uses %d bytes per array element.\n",
BytesPerWord);
printf(HLINE);
#ifdef N
printf("***** WARNING: ******\n");
printf(" It appears that you set the preprocessor variable N when compiling this code.\n");
printf(" This version of the code uses the preprocesor variable STREAM_ARRAY_SIZE to control the array size\n");
printf(" Reverting to default value of STREAM_ARRAY_SIZE=%llu\n",(unsigned long long) STREAM_ARRAY_SIZE);
printf("***** WARNING: ******\n");
#endif
printf("Array size = %llu (elements), Offset = %d (elements)\n" , (unsigned long long) STREAM_ARRAY_SIZE, OFFSET);
printf("Memory per array = %.1f MiB (= %.1f GiB).\n",
BytesPerWord * ( (double) STREAM_ARRAY_SIZE / 1024.0/1024.0),
BytesPerWord * ( (double) STREAM_ARRAY_SIZE / 1024.0/1024.0/1024.0));
printf("Total memory required = %.1f MiB (= %.1f GiB).\n",
(3.0 * BytesPerWord) * ( (double) STREAM_ARRAY_SIZE / 1024.0/1024.),
(3.0 * BytesPerWord) * ( (double) STREAM_ARRAY_SIZE / 1024.0/1024./1024.));
printf("Each kernel will be executed %d times.\n", NTIMES);
printf(" The *best* time for each kernel (excluding the first iteration)\n");
printf(" will be used to compute the reported bandwidth.\n");
/* Get initial value for system clock. */
for (j=0; j<STREAM_ARRAY_SIZE; j++) {
a[j] = 1.0;
b[j] = 2.0;
c[j] = 0.0;
}
printf(HLINE);
if ( (quantum = checktick()) >= 1)
printf("Your clock granularity/precision appears to be "
"%d microseconds.\n", quantum);
else {
printf("Your clock granularity appears to be "
"less than one microsecond.\n");
quantum = 1;
}
t = mysecond();
for (j = 0; j < STREAM_ARRAY_SIZE; j++)
a[j] = 2.0E0 * a[j];
t = 1.0E6 * (mysecond() - t);
printf("Each test below will take on the order"
" of %d microseconds.\n", (int) t );
printf(" (= %d clock ticks)\n", (int) (t/quantum) );
printf("Increase the size of the arrays if this shows that\n");
printf("you are not getting at least 20 clock ticks per test.\n");
printf(HLINE);
printf("WARNING -- The above is only a rough guideline.\n");
printf("For best results, please be sure you know the\n");
printf("precision of your system timer.\n");
printf(HLINE);
/* --- MAIN LOOP --- repeat test cases NTIMES times --- */
scalar = 3.0;
for (k=0; k<NTIMES; k++)
{
times[0][k] = mysecond();
#ifdef TUNED
tuned_STREAM_Copy();
#else
for (j=0; j<STREAM_ARRAY_SIZE; j++)
c[j] = a[j];
#endif
times[0][k] = mysecond() - times[0][k];
times[1][k] = mysecond();
#ifdef TUNED
tuned_STREAM_Scale(scalar);
#else
for (j=0; j<STREAM_ARRAY_SIZE; j++)
b[j] = scalar*c[j];
#endif
times[1][k] = mysecond() - times[1][k];
times[2][k] = mysecond();
#ifdef TUNED
tuned_STREAM_Add();
#else
for (j=0; j<STREAM_ARRAY_SIZE; j++)
c[j] = a[j]+b[j];
#endif
times[2][k] = mysecond() - times[2][k];
times[3][k] = mysecond();
#ifdef TUNED
tuned_STREAM_Triad(scalar);
#else
for (j=0; j<STREAM_ARRAY_SIZE; j++)
a[j] = b[j]+scalar*c[j];
#endif
times[3][k] = mysecond() - times[3][k];
}
/* --- SUMMARY --- */
for (k=1; k<NTIMES; k++) /* note -- skip first iteration */
{
for (j=0; j<4; j++)
{
avgtime[j] = avgtime[j] + times[j][k];
mintime[j] = MIN(mintime[j], times[j][k]);
maxtime[j] = MAX(maxtime[j], times[j][k]);
}
}
printf("Function Best Rate MB/s Avg time Min time Max time\n");
for (j=0; j<4; j++) {
avgtime[j] = avgtime[j]/(double)(NTIMES-1);
printf("%s%12.1f %11.6f %11.6f %11.6f\n", label[j],
1.0E-06 * bytes[j]/mintime[j],
avgtime[j],
mintime[j],
maxtime[j]);
}
printf(HLINE);
/* --- Check Results --- */
checkSTREAMresults();
printf(HLINE);
return 0;
}
# define M 20
int
checktick()
{
int i, minDelta, Delta;
double t1, t2, timesfound[M];
/* Collect a sequence of M unique time values from the system. */
for (i = 0; i < M; i++) {
t1 = mysecond();
while( ((t2=mysecond()) - t1) < 1.0E-6 )
;
timesfound[i] = t1 = t2;
}
/*
* Determine the minimum difference between these M values.
* This result will be our estimate (in microseconds) for the
* clock granularity.
*/
minDelta = 1000000;
for (i = 1; i < M; i++) {
Delta = (int)( 1.0E6 * (timesfound[i]-timesfound[i-1]));
minDelta = MIN(minDelta, MAX(Delta,0));
}
return(minDelta);
}
/* A gettimeofday routine to give access to the wall
clock timer on most UNIX-like systems. */
double mysecond()
{
/*
struct timeval tp;
struct timezone tzp;
int i;
i = gettimeofday(&tp,&tzp);
return ( (double) tp.tv_sec + (double) tp.tv_usec * 1.e-6 );
*/
return (double)uptime();
}
#ifndef abs
#define abs(a) ((a) >= 0 ? (a) : -(a))
#endif
void checkSTREAMresults ()
{
STREAM_TYPE aj,bj,cj,scalar;
STREAM_TYPE aSumErr,bSumErr,cSumErr;
STREAM_TYPE aAvgErr,bAvgErr,cAvgErr;
double epsilon;
long j;
int k,ierr,err;
/* reproduce initialization */
aj = 1.0;
bj = 2.0;
cj = 0.0;
/* a[] is modified during timing check */
aj = 2.0E0 * aj;
/* now execute timing loop */
scalar = 3.0;
for (k=0; k<NTIMES; k++)
{
cj = aj;
bj = scalar*cj;
cj = aj+bj;
aj = bj+scalar*cj;
}
/* accumulate deltas between observed and expected results */
aSumErr = 0.0;
bSumErr = 0.0;
cSumErr = 0.0;
for (j=0; j<STREAM_ARRAY_SIZE; j++) {
aSumErr += abs(a[j] - aj);
bSumErr += abs(b[j] - bj);
cSumErr += abs(c[j] - cj);
// if (j == 417) printf("Index 417: c[j]: %f, cj: %f\n",c[j],cj); // MCCALPIN
}
aAvgErr = aSumErr / (STREAM_TYPE) STREAM_ARRAY_SIZE;
bAvgErr = bSumErr / (STREAM_TYPE) STREAM_ARRAY_SIZE;
cAvgErr = cSumErr / (STREAM_TYPE) STREAM_ARRAY_SIZE;
if (sizeof(STREAM_TYPE) == 4) {
epsilon = 1.e-6;
}
else if (sizeof(STREAM_TYPE) == 8) {
epsilon = 1.e-13;
}
else {
printf("WEIRD: sizeof(STREAM_TYPE) = %lu\n",sizeof(STREAM_TYPE));
epsilon = 1.e-6;
}
err = 0;
if (abs(aAvgErr/aj) > epsilon) {
err++;
printf ("Failed Validation on array a[], AvgRelAbsErr > epsilon (%e)\n",epsilon);
printf (" Expected Value: %e, AvgAbsErr: %e, AvgRelAbsErr: %e\n",aj,aAvgErr,abs(aAvgErr)/aj);
ierr = 0;
for (j=0; j<STREAM_ARRAY_SIZE; j++) {
if (abs(a[j]/aj-1.0) > epsilon) {
ierr++;
#ifdef VERBOSE
if (ierr < 10) {
printf(" array a: index: %ld, expected: %e, observed: %e, relative error: %e\n",
j,aj,a[j],abs((aj-a[j])/aAvgErr));
}
#endif
}
}
printf(" For array a[], %d errors were found.\n",ierr);
}
if (abs(bAvgErr/bj) > epsilon) {
err++;
printf ("Failed Validation on array b[], AvgRelAbsErr > epsilon (%e)\n",epsilon);
printf (" Expected Value: %e, AvgAbsErr: %e, AvgRelAbsErr: %e\n",bj,bAvgErr,abs(bAvgErr)/bj);
printf (" AvgRelAbsErr > Epsilon (%e)\n",epsilon);
ierr = 0;
for (j=0; j<STREAM_ARRAY_SIZE; j++) {
if (abs(b[j]/bj-1.0) > epsilon) {
ierr++;
#ifdef VERBOSE
if (ierr < 10) {
printf(" array b: index: %ld, expected: %e, observed: %e, relative error: %e\n",
j,bj,b[j],abs((bj-b[j])/bAvgErr));
}
#endif
}
}
printf(" For array b[], %d errors were found.\n",ierr);
}
if (abs(cAvgErr/cj) > epsilon) {
err++;
printf ("Failed Validation on array c[], AvgRelAbsErr > epsilon (%e)\n",epsilon);
printf (" Expected Value: %e, AvgAbsErr: %e, AvgRelAbsErr: %e\n",cj,cAvgErr,abs(cAvgErr)/cj);
printf (" AvgRelAbsErr > Epsilon (%e)\n",epsilon);
ierr = 0;
for (j=0; j<STREAM_ARRAY_SIZE; j++) {
if (abs(c[j]/cj-1.0) > epsilon) {
ierr++;
#ifdef VERBOSE
if (ierr < 10) {
printf(" array c: index: %ld, expected: %e, observed: %e, relative error: %e\n",
j,cj,c[j],abs((cj-c[j])/cAvgErr));
}
#endif
}
}
printf(" For array c[], %d errors were found.\n",ierr);
}
if (err == 0) {
printf ("Solution Validates: avg error less than %e on all three arrays\n",epsilon);
}
#ifdef VERBOSE
printf ("Results Validation Verbose Results: \n");
printf (" Expected a(1), b(1), c(1): %f %f %f \n",aj,bj,cj);
printf (" Observed a(1), b(1), c(1): %f %f %f \n",a[1],b[1],c[1]);
printf (" Rel Errors on a, b, c: %e %e %e \n",abs(aAvgErr/aj),abs(bAvgErr/bj),abs(cAvgErr/cj));
#endif
}
#ifdef TUNED
/* stubs for "tuned" versions of the kernels */
void tuned_STREAM_Copy()
{
ssize_t j;
for (j=0; j<STREAM_ARRAY_SIZE; j++)
c[j] = a[j];
}
void tuned_STREAM_Scale(STREAM_TYPE scalar)
{
ssize_t j;
for (j=0; j<STREAM_ARRAY_SIZE; j++)
b[j] = scalar*c[j];
}
void tuned_STREAM_Add()
{
ssize_t j;
for (j=0; j<STREAM_ARRAY_SIZE; j++)
c[j] = a[j]+b[j];
}
void tuned_STREAM_Triad(STREAM_TYPE scalar)
{
ssize_t j;
for (j=0; j<STREAM_ARRAY_SIZE; j++)
a[j] = b[j]+scalar*c[j];
}
/* end of stubs for the "tuned" versions of the kernels */
#endif