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/*
This file is part of the FElt finite element analysis package.
Copyright (C) 1993-1997 Jason I. Gobat and Darren C. Atkinson
This program 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.
This program 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 this program; if not, write to the Free Software
Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
*/
/************************************************************************
* File: norm.c
*
* Description:
*
************************************************************************/
# include <stdio.h>
# include <math.h>
# include <string.h>
# include "matrix.h"
double atof();
int FrobeniusNormMatrix (result, a)
double *result;
Matrix a;
{
unsigned i, j;
double data;
double sum;
sum = 0;
for (i = 1 ; i <= Mrows(a) ; i++) {
for (j = 1 ; j <= Mcols(a) ; j++) {
data = mdata(a, i, j);
sum += data*data;
}
}
sum = sqrt (sum);
*result = sum;
return 0;
}
int PNormMatrix (result, a, p)
double *result; /* pointer to space for result */
Matrix a; /* source matrix */
char *p; /* "1", "inf" type of norm */
{
unsigned i, j;
double x;
double max;
x = 0;
if (strcmp (p,"inf") == 0) {
max = 0;
for (i = 1 ; i <= Mrows(a) ; i++) {
x = 0;
for (j = 1 ; j <= Mcols(a) ; j++)
x += fabs (mdata(a, i, j));
if (x > max)
max = x;
}
}
else if (strcmp (p, "1") == 0) {
max = 0;
for (j = 1 ; j <= Mcols(a) ; j++) {
x = 0;
for (i = 1 ; i <= Mrows(a) ; i++)
x += fabs(mdata(a, i, j));
if (x > max)
max = x;
}
}
else
return M_UNKNOWNNORM;
*result = x;
return 0;
}
int PNormVector (result, a, p)
double *result; /* pointer to space for result */
Matrix a; /* source vector */
char *p; /* "1", "2", "inf" type of norm */
{
unsigned i;
double data;
double x;
if (Mcols(a) != 1)
return M_NOTCOLUMN;
if (strcmp (p,"inf") == 0) {
x = fabs (mdata(a, 1, 1));
for (i = 2 ; i <= Mrows(a) ; i++) {
if (fabs (mdata(a, i, 1)) > x)
x = fabs (mdata(a, i, 1));
}
}
else if (strcmp (p, "1") == 0) {
x = 0;
for (i = 1 ; i <= Mrows(a) ; i++)
x += fabs (mdata(a, i, 1));
}
else if (strcmp (p, "2") == 0) {
x = 0;
for (i = 1 ; i <= Mrows(a) ; i++) {
data = mdata (a, i, 1);
x += data*data;
}
x = sqrt(x);
}
else
return M_UNKNOWNNORM;
*result = x;
return 0;
}
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