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//==============================================================================
//
// Copyright (c) 2016-
// Authors:
// * Dave Parker <d.a.parker@cs.bham.ac.uk> (University of Birmingham)
// * Joachim Klein <klein@tcs.inf.tu-dresden.de> (TU Dresden)
//
//------------------------------------------------------------------------------
//
// This file is part of PRISM.
//
// PRISM is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// PRISM is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with PRISM; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
//
//==============================================================================
#ifndef MEASURE_H
#define MEASURE_H
#include <cstddef> // for std::size_t type
#include <math.h> // for isinf
#include <limits>
/**
* Measure: Computes maximum element-wise difference between value vectors.
* In relative mode, the difference is scaled by the value.
*/
class MeasureSupNorm {
private:
// relative mode?
const bool relative;
// the current maximal value
double sup_norm;
public:
/** Constructor, set relative flag */
MeasureSupNorm(bool relative) : relative(relative) {
reset();
}
/** Reset for new measurement */
void reset() {
sup_norm = 0.0;
}
/** Relative mode? */
bool isRelative() const {
return relative;
}
/**
* Do the measurement for a single pair of values.
* For relative mode, the second value is used as the divisor.
*/
inline void measure(double v1, double v2) {
double x;
// compute absolute of difference
x = fabs(v2 - v1);
if (relative) {
// for relative mode: divide by second value
// We take the absolute value of v2 to ensure that
// x remains non-negative. v2 can become negative e.g.
// during iterations with over-relaxation with large
// omega values.
// Note: if v2 is 0, then x will become +inf for x>0 and NaN for x=0, i.e., v1=v2=0
// In the later case, the max computation below will ignore the NaN,
// as NaN > y is false for all y
x /= fabs(v2);
}
// sup_norm = max { x, sup_norm }
if (x > sup_norm) {
sup_norm = x;
}
}
/**
* Do the measurement for two value arrays of size n.
* For relative mode, the values of the second array are used as the divisors.
*/
inline void measure(const double *soln, const double *soln2, std::size_t n) {
for (std::size_t i = 0; i < n; i++) {
measure(soln[i], soln2[i]);
}
}
/** Return the measured value */
double value() const {
return sup_norm;
}
};
#endif