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/* miscmaths.cc
Mark Jenkinson & Mark Woolrich & Christian Beckmann, FMRIB Image Analysis Group
Copyright (C) 1999-2000 University of Oxford */
/* CCOPYRIGHT */
// Miscellaneous maths functions
#include "miscmaths.h"
#include "stdlib.h"
#include "newmatio.h"
using namespace std;
namespace MISCMATHS {
// The following lines are ignored by the current SGI compiler
// (version egcs-2.91.57)
// A temporary fix of including the std:: in front of all abs() etc
// has been done for now
using std::abs;
using std::sqrt;
using std::exp;
using std::log;
// using std::pow;
using std::atan2;
float Sinc(const float x) {
if (fabs(x)<1e-9) {
return 1-x*x*M_PI*M_PI/6.0;
} else {
return sin(M_PI*x)/(M_PI*x);
}
}
double Sinc(const double x) {
if (fabs(x)<1e-9) {
return 1-x*x*M_PI*M_PI/6.0;
} else {
return sin(M_PI*x)/(M_PI*x);
}
}
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// General string/IO functions
bool isnum(const string& str)
{
// assumes that initial whitespace has been removed
if (isdigit(str[0])) return true;
if ( (str[0]=='-') || (str[0]=='+') || (str[0]=='.') ) return true;
return false;
}
string skip_alpha(ifstream& fs)
{
string cline;
while (!fs.eof()) {
getline(fs,cline);
cline += " "; // force extra entry in parsing
istrstream ss(cline.c_str());
string cc="";
ss >> cc;
if (isnum(cc)) {
fs.seekg(-((int)cline.size()),ios::cur);
return cline;
}
}
return "";
}
ReturnMatrix read_ascii_matrix(int nrows, int ncols, const string& filename)
{
return read_ascii_matrix(filename,nrows,ncols);
}
ReturnMatrix read_ascii_matrix(const string& filename, int nrows, int ncols)
{
Matrix mat(nrows,ncols);
mat = 0.0;
if ( filename.size()<1 ) return mat;
ifstream fs(filename.c_str());
if (!fs) {
cerr << "Could not open matrix file " << filename << endl;
return mat;
}
mat = read_ascii_matrix(fs,nrows,ncols);
fs.close();
mat.Release();
return mat;
}
ReturnMatrix read_ascii_matrix(int nrows, int ncols, ifstream& fs)
{
return read_ascii_matrix(fs, nrows, ncols);
}
ReturnMatrix read_ascii_matrix(ifstream& fs, int nrows, int ncols)
{
Matrix mat(nrows,ncols);
mat = 0.0;
string ss="";
ss = skip_alpha(fs);
for (int r=1; r<=nrows; r++) {
for (int c=1; c<=ncols; c++) {
if (!fs.eof()) {
fs >> ss;
while ( !isnum(ss) && !fs.eof() ) {
fs >> ss;
}
Mark Jenkinson
committed
mat(r,c) = atof(ss.c_str());
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}
}
}
mat.Release();
return mat;
}
ReturnMatrix read_ascii_matrix(const string& filename)
{
Matrix mat;
if ( filename.size()<1 ) return mat;
ifstream fs(filename.c_str());
if (!fs) {
cerr << "Could not open matrix file " << filename << endl;
mat.Release();
return mat;
}
mat = read_ascii_matrix(fs);
fs.close();
mat.Release();
return mat;
}
ReturnMatrix read_ascii_matrix(ifstream& fs)
{
int rcount=0, cmax=0;
string cline;
// skip initial non-numeric lines
// and count the number of columns in the first numeric line
cline = skip_alpha(fs);
cline += " ";
{
istrstream ss(cline.c_str());
string cc="";
while (!ss.eof()) {
cmax++;
ss >> cc;
}
}
cmax--;
Mark Jenkinson
committed
do {
getline(fs,cline);
cline += " "; // force extra entry in parsing
istrstream ss(cline.c_str());
string cc="";
ss >> cc;
if (!isnum(cc)) break; // stop processing when non-numeric line found
rcount++; // add new row to matrix
Mark Jenkinson
committed
} while (!fs.eof());
Mark Jenkinson
committed
// now know the size of matrix
fs.clear();
fs.seekg(0,ios::beg);
return read_ascii_matrix(fs,rcount,cmax);
}
#define BINFLAG 42
ReturnMatrix read_binary_matrix(const string& filename)
{
Matrix mat;
if ( filename.size()<1 ) return mat;
ifstream fs(filename.c_str(), ios::in | ios::binary);
if (!fs) {
cerr << "Could not open matrix file " << filename << endl;
return mat;
}
mat = read_binary_matrix(fs);
fs.close();
mat.Release();
return mat;
}
ReturnMatrix read_binary_matrix(ifstream& fs)
{
long int testval;
// test for byte swapping
fs.read((char*)&testval,sizeof(testval));
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if (testval!=BINFLAG) {
cerr << "Different endian format - byte swapping not currently implemented" << endl;
Matrix mres;
mres.Release();
return mres;
}
// read matrix dimensions (num rows x num cols)
long int ival,nx,ny;
fs.read((char*)&ival,sizeof(ival));
nx = ival;
fs.read((char*)&ival,sizeof(ival));
ny = ival;
// set up and read matrix (rows fast, cols slow)
Real val;
Matrix mres(nx,ny);
for (int y=1; y<=ny; y++) {
for (int x=1; x<=nx; x++) {
fs.read((char*)&val,sizeof(val));
mres(x,y)=val;
}
}
mres.Release();
return mres;
}
// WRITE FUNCTIONS //
int write_ascii_matrix(const string& filename, const Matrix& mat,
int precision)
{
return write_ascii_matrix(mat, filename, precision);
}
int write_ascii_matrix(const Matrix& mat, const string& filename,
int precision)
{
Tracer tr("write_ascii_matrix");
if ( (filename.size()<1) ) return -1;
ofstream fs(filename.c_str());
if (!fs) {
cerr << "Could not open file " << filename << " for writing" << endl;
return -1;
}
int retval = write_ascii_matrix(mat,fs,precision);
fs.close();
return retval;
}
int write_ascii_matrix(ofstream& fs, const Matrix& mat,
int precision)
{
return write_ascii_matrix(mat, fs, precision);
}
int write_ascii_matrix(const Matrix& mat, ofstream& fs, int precision)
{
for (int i=1; i<=mat.Nrows(); i++) {
for (int j=1; j<=mat.Ncols(); j++) {
if (precision>0) {
fs.setf(ios::scientific | ios::showpos);
fs.precision(precision+7);
fs.precision(precision); }
fs << mat(i,j) << " ";
}
fs << endl;
}
return 0;
}
int write_vest(string p_fname, const Matrix& x, int precision)
{ return write_vest(x,p_fname,precision); }
int write_vest(const Matrix& x, string p_fname, int precision)
{
ofstream out;
out.open(p_fname.c_str(), ios::out);
if(!out)
{
cerr << "Unable to open " << p_fname << endl;
return -1;
}
out << "! VEST-Waveform File" << endl;
out << "/NumWaves\t" << x.Ncols() << endl;
out << "/NumPoints\t" << x.Nrows() << endl;
out << "/Skip" << endl;
out << endl << "/Matrix" << endl;
int retval = write_ascii_matrix(x, out, precision);
out.close();
return retval;
}
int write_binary_matrix(const Matrix& mat, const string& filename)
{
Tracer tr("write_binary_matrix");
if ( (filename.size()<1) ) return -1;
ofstream fs(filename.c_str(), ios::out | ios::binary);
if (!fs) {
cerr << "Could not open file " << filename << " for writing" << endl;
return -1;
}
int retval = write_binary_matrix(mat,fs);
fs.close();
return retval;
}
int write_binary_matrix(const Matrix& mat, ofstream& fs)
{
long int ival, nx, ny;
ival = BINFLAG;
fs.write((char*)&ival,sizeof(ival));
ival = mat.Nrows();
fs.write((char*)&ival,sizeof(ival));
ival = mat.Ncols();
fs.write((char*)&ival,sizeof(ival));
nx = mat.Nrows();
ny = mat.Ncols();
Real val;
for (int y=1; y<=ny; y++) {
for (int x=1; x<=nx; x++) {
val = mat(x,y);
fs.write((char*)&val,sizeof(val));
}
}
return 0;
}
// General mathematical functions
int round(int x) { return x; }
int round(float x)
{
if (x>0.0) return ((int) (x+0.5));
else return ((int) (x-0.5));
}
int round(double x)
{
if (x>0.0) return ((int) (x+0.5));
else return ((int) (x-0.5));
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int periodicclamp(int x, int x1, int x2)
{
if (x2<x1) return periodicclamp(x,x2,x1);
int d = x2-x1+1;
int xp = x-x1;
if (xp>=0) {
return (xp % d) + x1;
} else {
xp = xp + d + std::abs(xp/d)*d;
assert(xp>0);
return periodicclamp(xp + d + std::abs(xp/d)*d,x1,x2);
}
}
ColumnVector cross(const ColumnVector& a, const ColumnVector& b)
{
Tracer tr("cross");
ColumnVector ans(3);
ans(1) = a(2)*b(3) - a(3)*b(2);
ans(2) = a(3)*b(1) - a(1)*b(3);
ans(3) = a(1)*b(2) - a(2)*b(1);
return ans;
}
ColumnVector cross(const Real *a, const Real *b)
{
Tracer tr("cross");
ColumnVector a1(3), b1(3);
a1 << a;
b1 << b;
return cross(a1,b1);
}
double norm2(const ColumnVector& x)
{
return std::sqrt(x.SumSquare());
}
double norm2(double a, double b, double c)
{
return a*a + b*b + c*c;
}
float norm2(float a, float b, float c)
{
return a*a + b*b + c*c;
}
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int Identity(Matrix& m)
{
Tracer tr("Identity");
m=0.0;
for (int j=1; j<=m.Nrows(); j++)
m(j,j)=1.0;
return 0;
}
ReturnMatrix Identity(int num)
{
Tracer tr("Identity");
Matrix eye(num,num);
Identity(eye);
eye.Release();
return eye;
}
int diag(Matrix& m, const float diagvals[])
{
Tracer tr("diag");
m=0.0;
for (int j=1; j<=m.Nrows(); j++)
m(j,j)=diagvals[j-1];
return 0;
}
int diag(DiagonalMatrix& m, const ColumnVector& diagvals)
{
Tracer tr("diag");
m.ReSize(diagvals.Nrows());
m=0.0;
for (int j=1; j<=diagvals.Nrows(); j++)
m(j)=diagvals(j);
return 0;
}
int diag(Matrix& m, const ColumnVector& diagvals)
{
Tracer tr("diag");
m.ReSize(diagvals.Nrows(),diagvals.Nrows());
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