source: Sophya/trunk/SigPredictor/numrecipes.cc@ 2774

                        // Dominique YVON, CEA/DAPNIA/SPP 02/2000

#include <stdio.h>
#include <stddef.h>
#include <stdlib.h>

#include "numrecipes.h"

// En tete du fichier nrutil.h

static float sqrarg;
#define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 : sqrarg*sqrarg)

static double dsqrarg;
#define DSQR(a) ((dsqrarg=(a)) == 0.0 ? 0.0 : dsqrarg*dsqrarg)

static double dmaxarg1,dmaxarg2;
#define DMAX(a,b) (dmaxarg1=(a),dmaxarg2=(b),(dmaxarg1) > (dmaxarg2) ?\
        (dmaxarg1) : (dmaxarg2))

static double dminarg1,dminarg2;
#define DMIN(a,b) (dminarg1=(a),dminarg2=(b),(dminarg1) < (dminarg2) ?\
        (dminarg1) : (dminarg2))

static float maxarg1,maxarg2;
#define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1) > (maxarg2) ?\
        (maxarg1) : (maxarg2))

static float minarg1,minarg2;
#define FMIN(a,b) (minarg1=(a),minarg2=(b),(minarg1) < (minarg2) ?\
        (minarg1) : (minarg2))

static long lmaxarg1,lmaxarg2;
#define LMAX(a,b) (lmaxarg1=(a),lmaxarg2=(b),(lmaxarg1) > (lmaxarg2) ?\
        (lmaxarg1) : (lmaxarg2))

static long lminarg1,lminarg2;
#define LMIN(a,b) (lminarg1=(a),lminarg2=(b),(lminarg1) < (lminarg2) ?\
        (lminarg1) : (lminarg2))

static int imaxarg1,imaxarg2;
#define IMAX(a,b) (imaxarg1=(a),imaxarg2=(b),(imaxarg1) > (imaxarg2) ?\
        (imaxarg1) : (imaxarg2))

static int iminarg1,iminarg2;
#define IMIN(a,b) (iminarg1=(a),iminarg2=(b),(iminarg1) < (iminarg2) ?\
        (iminarg1) : (iminarg2))

#define SIGN(a,b) ((b) >= 0.0 ? fabs(a) : -fabs(a))


#define NR_END 1
#define FREE_ARG char*


void NumRecipes::nrerror(char error_text[])
/* Numerical Recipes standard error handler */
{
        fprintf(stderr,"Numerical Recipes run-time error...\n");
        fprintf(stderr,"%s\n",error_text);
        fprintf(stderr,"...now exiting to system...\n");
        exit(1);
}

float* NumRecipes::vector(long nl, long nh)
/* allocate a float vector with subscript range v[nl..nh] */
{
        float *v;

        v=(float *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(float)));
        if (!v) nrerror("allocation failure in vector()");
        return v-nl+NR_END;
}

int* NumRecipes::ivector(long nl, long nh)
/* allocate an int vector with subscript range v[nl..nh] */
{
        int *v;

        v=(int *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(int)));
        if (!v) nrerror("allocation failure in ivector()");
        return v-nl+NR_END;
}

unsigned char* NumRecipes::cvector(long nl, long nh)
/* allocate an unsigned char vector with subscript range v[nl..nh] */
{
        unsigned char *v;

        v=(unsigned char *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(unsigned char)));
        if (!v) nrerror("allocation failure in cvector()");
        return v-nl+NR_END;
}

unsigned long * NumRecipes::lvector(long nl, long nh)
/* allocate an unsigned long vector with subscript range v[nl..nh] */
{
        unsigned long *v;

        v=(unsigned long *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(long)));
        if (!v) nrerror("allocation failure in lvector()");
        return v-nl+NR_END;
}

double* NumRecipes::dvector(long nl, long nh)
/* allocate a double vector with subscript range v[nl..nh] */
{
        double *v;

        v=(double *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(double)));
        if (!v) nrerror("allocation failure in dvector()");
        return v-nl+NR_END;
}

float ** NumRecipes::matrix(long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix with subscript range m[nrl..nrh][ncl..nch] */
{
        long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
        float **m;

        /* allocate pointers to rows */
        m=(float **) malloc((size_t)((nrow+NR_END)*sizeof(float*)));
        if (!m) nrerror("allocation failure 1 in matrix()");
        m += NR_END;
        m -= nrl;

        /* allocate rows and set pointers to them */
        m[nrl]=(float *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float)));
        if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
        m[nrl] += NR_END;
        m[nrl] -= ncl;

        for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

        /* return pointer to array of pointers to rows */
        return m;
}

double ** NumRecipes::dmatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a double matrix with subscript range m[nrl..nrh][ncl..nch] */
{
        long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
        double **m;

        /* allocate pointers to rows */
        m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
        if (!m) nrerror("allocation failure 1 in matrix()");
        m += NR_END;
        m -= nrl;

        /* allocate rows and set pointers to them */
        m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
        if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
        m[nrl] += NR_END;
        m[nrl] -= ncl;

        for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

        /* return pointer to array of pointers to rows */
        return m;
}

int ** NumRecipes::imatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */
{
        long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
        int **m;

        /* allocate pointers to rows */
        m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));
        if (!m) nrerror("allocation failure 1 in matrix()");
        m += NR_END;
        m -= nrl;


        /* allocate rows and set pointers to them */
        m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));
        if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
        m[nrl] += NR_END;
        m[nrl] -= ncl;

        for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;

        /* return pointer to array of pointers to rows */
        return m;
}

float** NumRecipes::submatrix(float **a, long oldrl, long oldrh, long oldcl, long oldch,
        long newrl, long newcl)
/* point a submatrix [newrl..][newcl..] to a[oldrl..oldrh][oldcl..oldch] */
{
        long i,j,nrow=oldrh-oldrl+1,ncol=oldcl-newcl;
        float **m;

        /* allocate array of pointers to rows */
        m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
        if (!m) nrerror("allocation failure in submatrix()");
        m += NR_END;
        m -= newrl;

        /* set pointers to rows */
        for(i=oldrl,j=newrl;i<=oldrh;i++,j++) m[j]=a[i]+ncol;

        /* return pointer to array of pointers to rows */
        return m;
}

float** NumRecipes::convert_matrix(float *a, long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix m[nrl..nrh][ncl..nch] that points to the matrix
declared in the standard C manner as a[nrow][ncol], where nrow=nrh-nrl+1
and ncol=nch-ncl+1. The routine should be called with the address
&a[0][0] as the first argument. */
{
        long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1;
        float **m;

        /* allocate pointers to rows */
        m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
        if (!m) nrerror("allocation failure in convert_matrix()");
        m += NR_END;
        m -= nrl;

        /* set pointers to rows */
        m[nrl]=a-ncl;
        for(i=1,j=nrl+1;i<nrow;i++,j++) m[j]=m[j-1]+ncol;
        /* return pointer to array of pointers to rows */
        return m;
}

float *** NumRecipes::f3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
/* allocate a float 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] */
{
        long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
        float ***t;

        /* allocate pointers to pointers to rows */
        t=(float ***) malloc((size_t)((nrow+NR_END)*sizeof(float**)));
        if (!t) nrerror("allocation failure 1 in f3tensor()");
        t += NR_END;
        t -= nrl;

        /* allocate pointers to rows and set pointers to them */
        t[nrl]=(float **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float*)));
        if (!t[nrl]) nrerror("allocation failure 2 in f3tensor()");
        t[nrl] += NR_END;
        t[nrl] -= ncl;

        /* allocate rows and set pointers to them */
        t[nrl][ncl]=(float *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(float)));
        if (!t[nrl][ncl]) nrerror("allocation failure 3 in f3tensor()");
        t[nrl][ncl] += NR_END;
        t[nrl][ncl] -= ndl;

        for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
        for(i=nrl+1;i<=nrh;i++) {
                t[i]=t[i-1]+ncol;
                t[i][ncl]=t[i-1][ncl]+ncol*ndep;
                for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
        }

        /* return pointer to array of pointers to rows */
        return t;
}

void NumRecipes::free_vector(float *v, long nl, long nh)
/* free a float vector allocated with vector() */
{
        free((FREE_ARG) (v+nl-NR_END));
}

void NumRecipes::free_ivector(int *v, long nl, long nh)
/* free an int vector allocated with ivector() */
{
        free((FREE_ARG) (v+nl-NR_END));
}

void NumRecipes::free_cvector(unsigned char *v, long nl, long nh)
/* free an unsigned char vector allocated with cvector() */
{
        free((FREE_ARG) (v+nl-NR_END));
}

void NumRecipes::free_lvector(unsigned long *v, long nl, long nh)
/* free an unsigned long vector allocated with lvector() */
{
        free((FREE_ARG) (v+nl-NR_END));
}

void NumRecipes::free_dvector(double *v, long nl, long nh)
/* free a double vector allocated with dvector() */
{
        free((FREE_ARG) (v+nl-NR_END));
}

void NumRecipes::free_matrix(float **m, long nrl, long nrh, long ncl, long nch)
/* free a float matrix allocated by matrix() */
{
        free((FREE_ARG) (m[nrl]+ncl-NR_END));
        free((FREE_ARG) (m+nrl-NR_END));
}

void NumRecipes::free_dmatrix(double **m, long nrl, long nrh, long ncl, long nch)
/* free a double matrix allocated by dmatrix() */
{
        free((FREE_ARG) (m[nrl]+ncl-NR_END));
        free((FREE_ARG) (m+nrl-NR_END));
}

void NumRecipes::free_imatrix(int **m, long nrl, long nrh, long ncl, long nch)
/* free an int matrix allocated by imatrix() */
{
        free((FREE_ARG) (m[nrl]+ncl-NR_END));
        free((FREE_ARG) (m+nrl-NR_END));
}

void NumRecipes::free_submatrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a submatrix allocated by submatrix() */
{
        free((FREE_ARG) (b+nrl-NR_END));
}

void NumRecipes::free_convert_matrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a matrix allocated by convert_matrix() */
{
        free((FREE_ARG) (b+nrl-NR_END));
}

void NumRecipes::free_f3tensor(float ***t, long nrl, long nrh, long ncl, long nch,
        long ndl, long ndh)
/* free a float f3tensor allocated by f3tensor() */
{
        free((FREE_ARG) (t[nrl][ncl]+ndl-NR_END));
        free((FREE_ARG) (t[nrl]+ncl-NR_END));
        free((FREE_ARG) (t+nrl-NR_END));
}

//_____________________________ Fichier hunt.c _________________________________________

void  NumRecipes::hunt(float xx[], unsigned long n, float x, unsigned long *jlo)
{
        unsigned long jm,jhi,inc;
        int ascnd;

        ascnd=(xx[n] > xx[1]);
        if (*jlo <= 0 || *jlo > n) {
                *jlo=0;
                jhi=n+1;
        } else {
                inc=1;
                if (x >= xx[*jlo] == ascnd) {
                        if (*jlo == n) return;
                        jhi=(*jlo)+1;
                        while (x >= xx[jhi] == ascnd) {
                                *jlo=jhi;
                                inc += inc;
                                jhi=(*jlo)+inc;
                                if (jhi > n) {
                                        jhi=n+1;
                                        break;
                                }
                        }
                } else {
                        if (*jlo == 1) {
                                *jlo=0;
                                return;
                        }
                        jhi=(*jlo)--;
                        while (x < xx[*jlo] == ascnd) {
                                jhi=(*jlo);
                                inc <<= 1;
                                if (inc >= jhi) {
                                        *jlo=0;
                                        break;
                                }
                                else *jlo=jhi-inc;
                        }
                }
        }
        while (jhi-(*jlo) != 1) {
                jm=(jhi+(*jlo)) >> 1;
                if (x > xx[jm] == ascnd)
                        *jlo=jm;
                else
                        jhi=jm;
        }
}
// __________________________Fichier polint.c___________________________________
        
void NumRecipes::polint(float xa[], float ya[], int n, float x, float *y, float *dy)
{
        int i,m,ns=1;
        float den,dif,dift,ho,hp,w;
        float *c,*d;

        dif=fabs(x-xa[1]);
        c=vector(1,n);
        d=vector(1,n);
        for (i=1;i<=n;i++) {
                if ( (dift=fabs(x-xa[i])) < dif) {
                        ns=i;
                        dif=dift;
                }
                c[i]=ya[i];
                d[i]=ya[i];
        }
        *y=ya[ns--];
        for (m=1;m<n;m++) {
                for (i=1;i<=n-m;i++) {
                        ho=xa[i]-x;
                        hp=xa[i+m]-x;
                        w=c[i+1]-d[i];
                        if ( (den=ho-hp) == 0.0) nrerror("Error in routine polint");
                        den=w/den;
                        d[i]=hp*den;
                        c[i]=ho*den;
                }
                *y += (*dy=(2*ns < (n-m) ? c[ns+1] : d[ns--]));
        }
        free_vector(d,1,n);
        free_vector(c,1,n);
        
}

// ________________________Fichier polin2.c_______________________________________

void NumRecipes::polin2(float x1a[], float x2a[], float **ya, int m, int n, float x1,
        float x2, float *y, float *dy)
{
        
        int j;
        float *ymtmp;

        ymtmp=vector(1,m);
        for (j=1;j<=m;j++) {
                polint(x2a,ya[j],n,x2,&ymtmp[j],dy);
        }
        polint(x1a,ymtmp,m,x1,y,dy);
        free_vector(ymtmp,1,m);
}