262 lines
5.2 KiB
C
Executable File
262 lines
5.2 KiB
C
Executable File
/*
|
|
|
|
This program is part of the TACLeBench benchmark suite.
|
|
Version V 1.x
|
|
|
|
Name: minver
|
|
|
|
Author: Sung-Soo Lim
|
|
|
|
Function: Matrix inversion for 3x3 floating point matrix.
|
|
|
|
Source: SNU-RT Benchmark Suite, via MRTC
|
|
http://www.mrtc.mdh.se/projects/wcet/wcet_bench/minver/minver.c
|
|
|
|
Changes: a brief summary of major functional changes (not formatting)
|
|
|
|
License: may be used, modified, and re-distributed freely, but
|
|
the SNU-RT Benchmark Suite must be acknowledged
|
|
|
|
*/
|
|
|
|
/*
|
|
This program is derived from the SNU-RT Benchmark Suite for Worst
|
|
Case Timing Analysis by Sung-Soo Lim
|
|
|
|
Original source: Turbo C Programming for Engineering by Hyun Soo Ahn
|
|
*/
|
|
|
|
/*
|
|
Forward declaration of functions
|
|
*/
|
|
|
|
int minver_minver( int side, double eps );
|
|
int minver_mmul( int row_a, int col_a, int row_b, int col_b );
|
|
double minver_fabs( double n );
|
|
void minver_init();
|
|
int minver_return();
|
|
void minver_main();
|
|
int main( void );
|
|
|
|
/*
|
|
Declaration of global variables
|
|
*/
|
|
|
|
double minver_a[ 3 ][ 3 ] = {
|
|
{3.0, -6.0, 7.0},
|
|
{9.0, 0.0, -5.0},
|
|
{5.0, -8.0, 6.0},
|
|
};
|
|
double minver_b[ 3 ][ 3 ];
|
|
double minver_c[ 3 ][ 3 ];
|
|
double minver_aa[ 3 ][ 3 ];
|
|
double minver_a_i[ 3 ][ 3 ];
|
|
double minver_det;
|
|
|
|
/*
|
|
Arithmetic math functions
|
|
*/
|
|
|
|
|
|
double minver_fabs( double n )
|
|
{
|
|
double f;
|
|
|
|
if ( n >= 0 )
|
|
f = n;
|
|
else
|
|
f = -n;
|
|
return f;
|
|
}
|
|
|
|
|
|
int minver_mmul( int row_a, int col_a, int row_b, int col_b )
|
|
{
|
|
int i, j, k, row_c, col_c;
|
|
double w;
|
|
|
|
row_c = row_a;
|
|
col_c = col_b;
|
|
|
|
if ( row_c < 1 || row_b < 1 || col_c < 1 || col_a != row_b )
|
|
return ( 999 );
|
|
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < row_c; i++ ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < col_c; j++ ) {
|
|
w = 0.0;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( k = 0; k < row_b; k++ )
|
|
w += minver_a[ i ][ k ] * minver_b[ k ][ j ];
|
|
|
|
minver_c[ i ][ j ] = w;
|
|
|
|
}
|
|
}
|
|
return ( 0 );
|
|
|
|
}
|
|
|
|
|
|
int minver_minver( int side, double eps )
|
|
{
|
|
|
|
int work[ 500 ], i, j, k, iw;
|
|
int r = 0;
|
|
double w = 0, wmax, pivot, api, w1;
|
|
|
|
if ( side < 2 || side > 500 || eps <= 0.0 )
|
|
return ( 999 );
|
|
w1 = 1.0;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < side; i++ )
|
|
work[ i ] = i;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( k = 0; k < side; k++ ) {
|
|
wmax = 0.0;
|
|
_Pragma( "loopbound min 1 max 3" )
|
|
for ( i = k; i < side; i++ ) {
|
|
w = minver_fabs( minver_a[ i ][ k ] );
|
|
if ( w > wmax ) {
|
|
wmax = w;
|
|
r = i;
|
|
}
|
|
}
|
|
pivot = minver_a[ r ][ k ];
|
|
api = minver_fabs( pivot );
|
|
if ( api <= eps ) {
|
|
minver_det = w1;
|
|
return ( 1 );
|
|
}
|
|
w1 *= pivot;
|
|
if ( r != k ) {
|
|
w1 = -w;
|
|
iw = work[ k ];
|
|
work[ k ] = work[ r ];
|
|
work[ r ] = iw;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < side; j++ ) {
|
|
w = minver_a[ k ][ j ];
|
|
minver_a[ k ][ j ] = minver_a[ r ][ j ];
|
|
minver_a[ r ][ j ] = w;
|
|
}
|
|
}
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < side; i++ )
|
|
minver_a[ k ][ i ] /= pivot;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < side; i++ ) {
|
|
if ( i != k ) {
|
|
w = minver_a[ i ][ k ];
|
|
if ( w != 0.0 ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < side; j++ ) {
|
|
if ( j != k ) minver_a[ i ][ j ] -= w * minver_a[ k ][ j ];
|
|
}
|
|
minver_a[ i ][ k ] = -w / pivot;
|
|
|
|
}
|
|
}
|
|
}
|
|
minver_a[ k ][ k ] = 1.0 / pivot;
|
|
}
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < side; ) {
|
|
_Pragma( "loopbound min 1 max 3" )
|
|
while ( 1 ) {
|
|
k = work[ i ];
|
|
if ( k == i ) break;
|
|
iw = work[ k ];
|
|
work[ k ] = work[ i ];
|
|
work[ i ] = iw;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < side; j++ ) {
|
|
w = minver_a [k ][ i ];
|
|
minver_a[ k ][ i ] = minver_a[ k ][ k ];
|
|
minver_a[ k ][ k ] = w;
|
|
}
|
|
}
|
|
i++;
|
|
}
|
|
minver_det = w1;
|
|
return ( 0 );
|
|
|
|
}
|
|
|
|
/*
|
|
Initialization- and return-value-related functions
|
|
*/
|
|
|
|
void minver_init()
|
|
{
|
|
int i, j;
|
|
volatile int x = 0;
|
|
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < 3; i++ ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < 3; j++ )
|
|
minver_a[ i ][ j ] += x;
|
|
}
|
|
}
|
|
|
|
|
|
int minver_return()
|
|
{
|
|
int i, j;
|
|
double check_sum = 0;
|
|
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < 3; i++ ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < 3; j++ )
|
|
check_sum += minver_a_i[ i ][ j ];
|
|
}
|
|
/* Avoid double comparison */
|
|
return ( int )( check_sum * 100 ) != 48;
|
|
}
|
|
|
|
|
|
/*
|
|
Main functions
|
|
*/
|
|
|
|
|
|
void _Pragma( "entrypoint" ) minver_main()
|
|
{
|
|
int i, j;
|
|
double eps;
|
|
eps = 1.0e-6;
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < 3; i++ ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < 3; j++ )
|
|
minver_aa[ i ][ j ] = minver_a[ i ][ j ];
|
|
}
|
|
|
|
minver_minver( 3, eps );
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( i = 0; i < 3; i++ ) {
|
|
_Pragma( "loopbound min 3 max 3" )
|
|
for ( j = 0; j < 3; j++ )
|
|
minver_a_i[ i ][ j ] = minver_a[ i ][ j ];
|
|
}
|
|
|
|
minver_mmul( 3, 3, 3, 3 );
|
|
}
|
|
|
|
|
|
int main( void )
|
|
{
|
|
minver_init();
|
|
minver_main();
|
|
|
|
return ( minver_return() );
|
|
}
|
|
|
|
|
|
|
|
|
|
|