vecop.c

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#include <../../nrnconf.h>
 
/**************************************************************************
**
** Copyright (C) 1993 David E. Steward & Zbigniew Leyk, all rights reserved.
**
**               Meschach Library
** 
** This Meschach Library is provided "as is" without any express 
** or implied warranty of any kind with respect to this software. 
** In particular the authors shall not be liable for any direct, 
** indirect, special, incidental or consequential damages arising 
** in any way from use of the software.
** 
** Everyone is granted permission to copy, modify and redistribute this
** Meschach Library, provided:
**  1.  All copies contain this copyright notice.
**  2.  All modified copies shall carry a notice stating who
**      made the last modification and the date of such modification.
**  3.  No charge is made for this software or works derived from it.  
**      This clause shall not be construed as constraining other software
**      distributed on the same medium as this software, nor is a
**      distribution fee considered a charge.
**
***************************************************************************/
 
 
/* vecop.c 1.3 8/18/87 */
 
#include    <stdio.h>
#include    "matrix.h"
 
static  char    rcsid[] = "vecop.c,v 1.1 1997/12/04 17:56:02 hines Exp";
 
 
/* _in_prod -- inner product of two vectors from i0 downwards */
double  _in_prod(a,b,i0)
VEC *a,*b;
u_int   i0;
{
    u_int   limit;
    /* Real *a_v, *b_v; */
    /* register Real    sum; */
 
    if ( a==(VEC *)NULL || b==(VEC *)NULL )
        error(E_NULL,"_in_prod");
    limit = min(a->dim,b->dim);
    if ( i0 > limit )
        error(E_BOUNDS,"_in_prod");
 
    return __ip__(&(a->ve[i0]),&(b->ve[i0]),(int)(limit-i0));
    /*****************************************
    a_v = &(a->ve[i0]);     b_v = &(b->ve[i0]);
    for ( i=i0; i<limit; i++ )
        sum += a_v[i]*b_v[i];
        sum += (*a_v++)*(*b_v++);
 
    return (double)sum;
    ******************************************/
}
 
/* sv_mlt -- scalar-vector multiply -- may be in-situ */
VEC *sv_mlt(scalar,vector,out)
double  scalar;
VEC *vector,*out;
{
    /* u_int    dim, i; */
    /* Real *out_ve, *vec_ve; */
 
    if ( vector==(VEC *)NULL )
        error(E_NULL,"sv_mlt");
    if ( out==(VEC *)NULL || out->dim != vector->dim )
        out = v_resize(out,vector->dim);
    if ( scalar == 0.0 )
        return v_zero(out);
    if ( scalar == 1.0 )
        return v_copy(vector,out);
 
    __smlt__(vector->ve,(double)scalar,out->ve,(int)(vector->dim));
    /**************************************************
    dim = vector->dim;
    out_ve = out->ve;   vec_ve = vector->ve;
    for ( i=0; i<dim; i++ )
        out->ve[i] = scalar*vector->ve[i];
        (*out_ve++) = scalar*(*vec_ve++);
    **************************************************/
    return (out);
}
 
/* v_add -- vector addition -- may be in-situ */
VEC *v_add(vec1,vec2,out)
VEC *vec1,*vec2,*out;
{
    u_int   dim;
    /* Real *out_ve, *vec1_ve, *vec2_ve; */
 
    if ( vec1==(VEC *)NULL || vec2==(VEC *)NULL )
        error(E_NULL,"v_add");
    if ( vec1->dim != vec2->dim )
        error(E_SIZES,"v_add");
    if ( out==(VEC *)NULL || out->dim != vec1->dim )
        out = v_resize(out,vec1->dim);
    dim = vec1->dim;
    __add__(vec1->ve,vec2->ve,out->ve,(int)dim);
    /************************************************************
    out_ve = out->ve;   vec1_ve = vec1->ve; vec2_ve = vec2->ve;
    for ( i=0; i<dim; i++ )
        out->ve[i] = vec1->ve[i]+vec2->ve[i];
        (*out_ve++) = (*vec1_ve++) + (*vec2_ve++);
    ************************************************************/
 
    return (out);
}
 
/* v_mltadd -- scalar/vector multiplication and addition
        -- out = v1 + scale.v2      */
VEC *v_mltadd(v1,v2,scale,out)
VEC *v1,*v2,*out;
double  scale;
{
    /* register u_int   dim, i; */
    /* Real *out_ve, *v1_ve, *v2_ve; */
 
    if ( v1==(VEC *)NULL || v2==(VEC *)NULL )
        error(E_NULL,"v_mltadd");
    if ( v1->dim != v2->dim )
        error(E_SIZES,"v_mltadd");
    if ( scale == 0.0 )
        return v_copy(v1,out);
    if ( scale == 1.0 )
        return v_add(v1,v2,out);
 
    if ( v2 != out )
    {
        tracecatch(out = v_copy(v1,out),"v_mltadd");
 
        /* dim = v1->dim; */
        __mltadd__(out->ve,v2->ve,scale,(int)(v1->dim));
    }
    else
    {
        tracecatch(out = sv_mlt(scale,v2,out),"v_mltadd");
        out = v_add(v1,out,out);
    }
    /************************************************************
    out_ve = out->ve;   v1_ve = v1->ve;     v2_ve = v2->ve;
    for ( i=0; i < dim ; i++ )
        out->ve[i] = v1->ve[i] + scale*v2->ve[i];
        (*out_ve++) = (*v1_ve++) + scale*(*v2_ve++);
    ************************************************************/
 
    return (out);
}
 
/* v_sub -- vector subtraction -- may be in-situ */
VEC *v_sub(vec1,vec2,out)
VEC *vec1,*vec2,*out;
{
    /* u_int    i, dim; */
    /* Real *out_ve, *vec1_ve, *vec2_ve; */
 
    if ( vec1==(VEC *)NULL || vec2==(VEC *)NULL )
        error(E_NULL,"v_sub");
    if ( vec1->dim != vec2->dim )
        error(E_SIZES,"v_sub");
    if ( out==(VEC *)NULL || out->dim != vec1->dim )
        out = v_resize(out,vec1->dim);
 
    __sub__(vec1->ve,vec2->ve,out->ve,(int)(vec1->dim));
    /************************************************************
    dim = vec1->dim;
    out_ve = out->ve;   vec1_ve = vec1->ve; vec2_ve = vec2->ve;
    for ( i=0; i<dim; i++ )
        out->ve[i] = vec1->ve[i]-vec2->ve[i];
        (*out_ve++) = (*vec1_ve++) - (*vec2_ve++);
    ************************************************************/
 
    return (out);
}
 
/* v_map -- maps function f over components of x: out[i] = f(x[i])
    -- _v_map sets out[i] = f(params,x[i]) */
VEC *v_map(f,x,out)
#ifdef PROTOTYPES_IN_STRUCT
double  (*f)(double);
#else
double  (*f)();
#endif
VEC *x, *out;
{
    Real    *x_ve, *out_ve;
    int i, dim;
 
    if ( ! x || ! f )
        error(E_NULL,"v_map");
    if ( ! out || out->dim != x->dim )
        out = v_resize(out,x->dim);
 
    dim = x->dim;   x_ve = x->ve;   out_ve = out->ve;
    for ( i = 0; i < dim; i++ )
        *out_ve++ = (*f)(*x_ve++);
 
    return out;
}
 
VEC *_v_map(f,params,x,out)
#ifdef PROTOTYPES_IN_STRUCT
double  (*f)(void *,double);
#else
double  (*f)();
#endif
VEC *x, *out;
void    *params;
{
    Real    *x_ve, *out_ve;
    int i, dim;
 
    if ( ! x || ! f )
        error(E_NULL,"_v_map");
    if ( ! out || out->dim != x->dim )
        out = v_resize(out,x->dim);
 
    dim = x->dim;   x_ve = x->ve;   out_ve = out->ve;
    for ( i = 0; i < dim; i++ )
        *out_ve++ = (*f)(params,*x_ve++);
 
    return out;
}
 
/* v_lincomb -- returns sum_i a[i].v[i], a[i] real, v[i] vectors */
VEC *v_lincomb(n,v,a,out)
int n;  /* number of a's and v's */
Real    a[];
VEC *v[], *out;
{
    int i;
 
    if ( ! a || ! v )
        error(E_NULL,"v_lincomb");
    if ( n <= 0 )
        return VNULL;
 
    for ( i = 1; i < n; i++ )
        if ( out == v[i] )
            error(E_INSITU,"v_lincomb");
 
    out = sv_mlt(a[0],v[0],out);
    for ( i = 1; i < n; i++ )
    {
        if ( ! v[i] )
            error(E_NULL,"v_lincomb");
        if ( v[i]->dim != out->dim )
            error(E_SIZES,"v_lincomb");
        out = v_mltadd(out,v[i],a[i],out);
    }
 
    return out;
}
 
 
 
#ifdef ANSI_C
 
/* v_linlist -- linear combinations taken from a list of arguments;
   calling:
      v_linlist(out,v1,a1,v2,a2,...,vn,an,NULL);
   where vi are vectors (VEC *) and ai are numbers (double)
*/
VEC  *v_linlist(VEC *out,VEC *v1,double a1,...)
{
   va_list ap;
   VEC *par;
   double a_par;
 
   if ( ! v1 )
     return VNULL;
   
   va_start(ap, a1);
   out = sv_mlt(a1,v1,out);
   
   while ((par = va_arg(ap,VEC *))) {   /* NULL ends the list*/
      a_par = va_arg(ap,double);
      if (a_par == 0.0) continue;
      if ( out == par )     
    error(E_INSITU,"v_linlist");
      if ( out->dim != par->dim )   
    error(E_SIZES,"v_linlist");
 
      if (a_par == 1.0)
    out = v_add(out,par,out);
      else if (a_par == -1.0)
    out = v_sub(out,par,out);
      else
    out = v_mltadd(out,par,a_par,out); 
   } 
   
   va_end(ap);
   return out;
}
 
#elif VARARGS
 
 
/* v_linlist -- linear combinations taken from a list of arguments;
   calling:
      v_linlist(out,v1,a1,v2,a2,...,vn,an,NULL);
   where vi are vectors (VEC *) and ai are numbers (double)
*/
VEC  *v_linlist(va_alist) va_dcl
{
   va_list ap;
   VEC *par, *out;
   double a_par;
 
   va_start(ap);
   out = va_arg(ap,VEC *);
   par = va_arg(ap,VEC *);
   if ( ! par ) {
      va_end(ap);
      return VNULL;
   }
   
   a_par = va_arg(ap,double);
   out = sv_mlt(a_par,par,out);
   
   while ((par = va_arg(ap,VEC *))) {   /* NULL ends the list*/
      a_par = va_arg(ap,double);
      if (a_par == 0.0) continue;
      if ( out == par )     
    error(E_INSITU,"v_linlist");
      if ( out->dim != par->dim )   
    error(E_SIZES,"v_linlist");
 
      if (a_par == 1.0)
    out = v_add(out,par,out);
      else if (a_par == -1.0)
    out = v_sub(out,par,out);
      else
    out = v_mltadd(out,par,a_par,out); 
   } 
   
   va_end(ap);
   return out;
}
 
#endif
  
 
 
 
 
/* v_star -- computes componentwise (Hadamard) product of x1 and x2
    -- result out is returned */
VEC *v_star(x1, x2, out)
VEC *x1, *x2, *out;
{
    int     i;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"v_star");
    if ( x1->dim != x2->dim )
    error(E_SIZES,"v_star");
    out = v_resize(out,x1->dim);
 
    for ( i = 0; i < x1->dim; i++ )
    out->ve[i] = x1->ve[i] * x2->ve[i];
 
    return out;
}
 
/* v_slash -- computes componentwise ratio of x2 and x1
    -- out[i] = x2[i] / x1[i]
    -- if x1[i] == 0 for some i, then raise E_SING error
    -- result out is returned */
VEC *v_slash(x1, x2, out)
VEC *x1, *x2, *out;
{
    int     i;
    Real    tmp;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"v_slash");
    if ( x1->dim != x2->dim )
    error(E_SIZES,"v_slash");
    out = v_resize(out,x1->dim);
 
    for ( i = 0; i < x1->dim; i++ )
    {
    tmp = x1->ve[i];
    if ( tmp == 0.0 )
        error(E_SING,"v_slash");
    out->ve[i] = x2->ve[i] / tmp;
    }
 
    return out;
}
 
/* v_min -- computes minimum component of x, which is returned
    -- also sets min_idx to the index of this minimum */
double  v_min(x, min_idx)
VEC *x;
int *min_idx;
{
    int     i, i_min;
    Real    min_val, tmp;
 
    if ( ! x )
    error(E_NULL,"v_min");
    if ( x->dim <= 0 )
    error(E_SIZES,"v_min");
    i_min = 0;
    min_val = x->ve[0];
    for ( i = 1; i < x->dim; i++ )
    {
    tmp = x->ve[i];
    if ( tmp < min_val )
    {
        min_val = tmp;
        i_min = i;
    }
    }
 
    if ( min_idx != NULL )
    *min_idx = i_min;
    return min_val;
}
 
/* v_max -- computes maximum component of x, which is returned
    -- also sets max_idx to the index of this maximum */
double  v_max(x, max_idx)
VEC *x;
int *max_idx;
{
    int     i, i_max;
    Real    max_val, tmp;
 
    if ( ! x )
    error(E_NULL,"v_max");
    if ( x->dim <= 0 )
    error(E_SIZES,"v_max");
    i_max = 0;
    max_val = x->ve[0];
    for ( i = 1; i < x->dim; i++ )
    {
    tmp = x->ve[i];
    if ( tmp > max_val )
    {
        max_val = tmp;
        i_max = i;
    }
    }
 
    if ( max_idx != NULL )
    *max_idx = i_max;
    return max_val;
}
 
#define MAX_STACK   60
 
 
/* v_sort -- sorts vector x, and generates permutation that gives the order
    of the components; x = [1.3, 3.7, 0.5] -> [0.5, 1.3, 3.7] and
    the permutation is order = [2, 0, 1].
    -- if order is NULL on entry then it is ignored
    -- the sorted vector x is returned */
VEC *v_sort(x, order)
VEC *x;
PERM    *order;
{
    Real    *x_ve, tmp, v;
    /* int      *order_pe; */
    int     dim, i, j, l, r, tmp_i;
    int     stack[MAX_STACK], sp;
 
    if ( ! x )
    error(E_NULL,"v_sort");
    if ( order != PNULL && order->size != x->dim )
    order = px_resize(order, x->dim);
 
    x_ve = x->ve;
    dim = x->dim;
    if ( order != PNULL )
    px_ident(order);
 
    if ( dim <= 1 )
    return x;
 
    /* using quicksort algorithm in Sedgewick,
       "Algorithms in C", Ch. 9, pp. 118--122 (1990) */
    sp = 0;
    l = 0;  r = dim-1;  v = x_ve[0];
    for ( ; ; )
    {
    while ( r > l )
    {
        /* "i = partition(x_ve,l,r);" */
        v = x_ve[r];
        i = l-1;
        j = r;
        for ( ; ; )
        {
        while ( x_ve[++i] < v )
            ;
        while ( x_ve[--j] > v )
            ;
        if ( i >= j )   break;
        
        tmp = x_ve[i];
        x_ve[i] = x_ve[j];
        x_ve[j] = tmp;
        if ( order != PNULL )
        {
            tmp_i = order->pe[i];
            order->pe[i] = order->pe[j];
            order->pe[j] = tmp_i;
        }
        }
        tmp = x_ve[i];
        x_ve[i] = x_ve[r];
        x_ve[r] = tmp;
        if ( order != PNULL )
        {
        tmp_i = order->pe[i];
        order->pe[i] = order->pe[r];
        order->pe[r] = tmp_i;
        }
 
        if ( i-l > r-i )
        {   stack[sp++] = l;   stack[sp++] = i-1;   l = i+1;   }
        else
        {   stack[sp++] = i+1;   stack[sp++] = r;   r = i-1;   }
    }
 
    /* recursion elimination */
    if ( sp == 0 )
        break;
    r = stack[--sp];
    l = stack[--sp];
    }
 
    return x;
}
 
/* v_sum -- returns sum of entries of a vector */
double  v_sum(x)
VEC *x;
{
    int     i;
    Real    sum;
 
    if ( ! x )
    error(E_NULL,"v_sum");
 
    sum = 0.0;
    for ( i = 0; i < x->dim; i++ )
    sum += x->ve[i];
 
    return sum;
}
 
/* v_conv -- computes convolution product of two vectors */
VEC *v_conv(x1, x2, out)
VEC *x1, *x2, *out;
{
    int     i;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"v_conv");
    if ( x1 == out || x2 == out )
    error(E_INSITU,"v_conv");
    if ( x1->dim == 0 || x2->dim == 0 )
    return out = v_resize(out,0);
 
    out = v_resize(out,x1->dim + x2->dim - 1);
    v_zero(out);
    for ( i = 0; i < x1->dim; i++ )
    __mltadd__(&(out->ve[i]),x2->ve,x1->ve[i],x2->dim);
 
    return out;
}
 
/* v_pconv -- computes a periodic convolution product
    -- the period is the dimension of x2 */
VEC *v_pconv(x1, x2, out)
VEC *x1, *x2, *out;
{
    int     i;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"v_pconv");
    if ( x1 == out || x2 == out )
    error(E_INSITU,"v_pconv");
    out = v_resize(out,x2->dim);
    if ( x2->dim == 0 )
    return out;
 
    v_zero(out);
    for ( i = 0; i < x1->dim; i++ )
    {
    __mltadd__(&(out->ve[i]),x2->ve,x1->ve[i],x2->dim - i);
    if ( i > 0 )
        __mltadd__(out->ve,&(x2->ve[x2->dim - i]),x1->ve[i],i);
    }
 
    return out;
}