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norm.c
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#include <math.h>
#include <performance_metric.h>
/**
* Returns the norm difference between field
* measurements and the predicted RSCP values.
*
* tx_power Transmitter pilot power, in dBm;
* nrows number of rows in the matrix;
* ncols number of columns in the matrix;
* field_meas a 2D-matrix where the field measurements are saved;
* prediction a 2D-matrix containing the predicted RSCP values.-
*
*/
double calc_norm (const double tx_power,
const int nrows,
const int ncols,
double **field_meas,
double **prediction)
{
double ret_value = -1.0;
double residual;
int r, c;
/**
* this loops measures around 108.70 MFlops
*
for (r = 0; r < nrows; r ++)
{
for (c = 0; c < ncols; c ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (2, 8);
#endif
double field_measurement = field_meas[r][c];
double model_prediction = prediction[r][c];
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement) && field_measurement != 0)
{
if (!isnan (model_prediction) && model_prediction != 0)
{
residual = field_measurement;
residual -= tx_power - model_prediction;
ret_value += residual * residual;
}
}
}
}*/
//
// unroll the loops to improve the number of flops per memory transfer
//
// this unrolled version measures around 142.80 MFlops
//
for (r = 0; r < (nrows - 1) / 2; r ++)
{
for (c = 0; c < (ncols - 1) / 2; c ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (8, 8);
#endif
int i;
double field_measurement [4];
double model_prediction [4];
field_measurement[0] = field_meas[2*r][2*c];
field_measurement[1] = field_meas[2*r][2*c + 1];
field_measurement[2] = field_meas[2*r + 1][2*c];
field_measurement[3] = field_meas[2*r + 1][2*c + 1];
model_prediction[0] = prediction[2*r][2*c];
model_prediction[1] = prediction[2*r][2*c + 1];
model_prediction[2] = prediction[2*r + 1][2*c];
model_prediction[3] = prediction[2*r + 1][2*c + 1];
for (i = 0; i < 4; i ++)
{
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement[i]) && field_measurement[i] != 0)
{
if (!isnan (model_prediction[i]) && model_prediction[i] != 0)
{
residual = field_measurement[i];
residual -= tx_power - model_prediction[i];
ret_value += residual * residual;
}
}
}
}
}
//
// the last row, for all the columns
//
r = nrows - 1;
for (c = 0; c < ncols; c ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (2, 8);
#endif
double field_measurement = field_meas[r][c];
double model_prediction = prediction[r][c];
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement) && field_measurement != 0)
{
if (!isnan (model_prediction) && model_prediction != 0)
{
residual = field_measurement;
residual -= tx_power - model_prediction;
ret_value += residual * residual;
}
}
}
//
// the last column, for all the rows
//
c = ncols - 1;
for (r = 0; r < nrows; r ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (2, 8);
#endif
double field_measurement = field_meas[r][c];
double model_prediction = prediction[r][c];
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement) && field_measurement != 0)
{
if (!isnan (model_prediction) && model_prediction != 0)
{
residual = field_measurement;
residual -= tx_power - model_prediction;
ret_value += residual * residual;
}
}
}
/*
// unroll the loops to improve the number of flops per memory transfer
//
// this unrolled version measures around 138.90 MFlops
//
for (r = 0; r < nrows / 3; r ++)
{
for (c = 0; c < (ncols - 1) / 2; c ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (12, 8);
#endif
int i;
double field_measurement [6];
double model_prediction [6];
field_measurement[0] = field_meas[3*r][2*c];
field_measurement[1] = field_meas[3*r][2*c + 1];
field_measurement[2] = field_meas[3*r + 1][2*c];
field_measurement[3] = field_meas[3*r + 1][2*c + 1];
field_measurement[4] = field_meas[3*r + 2][2*c];
field_measurement[5] = field_meas[3*r + 2][2*c + 1];
model_prediction[0] = prediction[3*r][2*c];
model_prediction[1] = prediction[3*r][2*c + 1];
model_prediction[2] = prediction[3*r + 1][2*c];
model_prediction[3] = prediction[3*r + 1][2*c + 1];
model_prediction[4] = prediction[3*r + 2][2*c];
model_prediction[5] = prediction[3*r + 2][2*c + 1];
for (i = 0; i < 6; i ++)
{
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement[i]) && field_measurement[i] != 0)
{
if (!isnan (model_prediction[i]) && model_prediction[i] != 0)
{
residual = field_measurement[i];
residual -= tx_power - model_prediction[i];
ret_value += residual * residual;
}
}
}
}
}
//
// the last column, for all the rows
//
c = ncols - 1;
for (r = 0; r < nrows; r ++)
{
#ifdef _PERFORMANCE_METRICS_
memory_access (2, 8);
#endif
double field_measurement = field_meas[r][c];
double model_prediction = prediction[r][c];
// compare predicted RSCP and measured RSCP
if (!isnan (field_measurement) && field_measurement != 0)
{
if (!isnan (model_prediction) && model_prediction != 0)
{
residual = field_measurement;
residual -= tx_power - model_prediction;
ret_value += residual * residual;
}
}
}*/
//
// return the least-squares value
//
return ret_value;
}