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mmath.cc

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#include <stdlib.h>
#include "magic/mmath.h"
#include "magic/mcoord.h"
#include "magic/mmagisupp.h"

#ifndef RAND_MAX
#define RAND_MAX 32767
#endif

BEGIN_NAMESPACE (MagiC);

double sum (const Vector& x) {
    double res = 0.0;
    for (int i=0; i<x.size(); i++)
        res += x[i];
    return res;
}

double min (const Vector& x) {
    double min = UNDEFINED_FLOAT;
    for (int i=0; i<x.size(); i++)
        if (!is_undef(x[i]) && x[i]<min)
            min = x[i];
    return min;
}

int minIndex (const Vector& x) {
    double min = UNDEFINED_FLOAT;
    int minI=0;
    for (int i=0; i<x.size(); i++)
        if (!is_undef(x[i]) && x[i]<min) {
            min = x[i];
            minI = i;
        }
    return minI;
}

double max (const Vector& x) {
    double max = -UNDEFINED_FLOAT;
    for (int i=0; i<x.size(); i++)
        if (!is_undef(x[i]) && x[i]>max)
            max = x[i];
    return max;
}

int maxIndex (const Vector& x) {
    double max = -UNDEFINED_FLOAT;
    int maxI=0;
    for (int i=0; i<x.size(); i++)
        if (!is_undef(x[i]) && x[i]>max) {
            max = x[i];
            maxI = i;
        }
    return maxI;
}

double avg (const Vector& x) {
    return sum (x) / x.size();
}

double stddev (const Vector& x) {
    double average = avg (x);
    double res = 0.0;
    for (int i=0; i<x.size(); i++)
        res += sqr (x[i]-average);
    return sqrt (res/(x.size()+1));
}

double stdmerr (const Vector& x) {
    return stddev(x)/sqrt(double(x.size()));
}

Vector histogram (const Vector& x, int n) {
    Vector result;
    
    // Init histogram
    result.make (n);
    for (int i=0; i<result.size(); i++)
        result[i] = 0.0;

    // Find minima and maxima
    double mi=min(x), ma=max(x);
    double mul = double(n-1)/(ma-mi);

    // Make histogram
    int pos=0;
    for (int i=0; i<x.size(); i++) {
        pos = int(mul*(x[i]-mi));
        result[pos] = result[pos] + 1.0;
    }

    /*
    // Calculate means
    int meanrange=2;
    Vector result2 (n);
    for (int i=0; i<result.size(); i++) {
        int values=0;
        double sum = 0.0;
        for (int m=-meanrange; m<=meanrange; m++)
            if (i+m>=0 && i+m<result.size()) {
                sum += result[i+m];
                values++;
            }
        result2[i] = sum/double(values);
    }
    */

    return result;
}

void add (Vector& x, double a) {
    for (int i=0; i<x.size(); i++)
        x[i] += a;
}

void multiply (Vector& x, double m) {
    for (int i=0; i<x.size(); i++)
        x[i] *= m;
}

void multiplyToUnity (Vector& x) {
    double xsum = sum (x);
    if (xsum==0)
        add (x, 1.0/x.size());
    else
        multiply (x, 1/xsum);
}


//                                                                          //
//                    ___                    |  __  ___                     //
//                   /   \                   | /  \ |  \                    //
//                   |      __   __  |/\  ---|   _/ |   |                   //
//                   |     /  \ /  \ |   (   |  /   |   |                   //
//                   \___/ \__/ \__/ |    ---| /___ |__/                    //
//                                                                          //

void Coord2D::copy (const Coord3D& o) {
    x=o.x;
    y=o.y;
}

/*
double quadatan (double y, double x) {
    double at=atan (y/x);
    
    // Tuodaan oikeaan kvadranttiin
    if (x<0 && y>0) at+=M_PI;
    if (x<0 && y<0) at+=M_PI;
    if (x>0 && y<0) at+=2*M_PI;
    
    return at;
}
*/

END_NAMESPACE;

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