zvecop.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.
**
***************************************************************************/
 
 
#include    <stdio.h>
#include    "matrix.h"
#include    "zmatrix.h"
static  char    rcsid[] = "zvecop.c,v 1.1 1997/12/04 17:56:19 hines Exp";
 
 
 
/* _zin_prod -- inner product of two vectors from i0 downwards
    -- flag != 0 means compute sum_i a[i]*.b[i];
    -- flag == 0 means compute sum_i a[i].b[i] */
complex _zin_prod(a,b,i0,flag)
ZVEC    *a,*b;
u_int   i0, flag;
{
    u_int   limit;
 
    if ( a==ZVNULL || b==ZVNULL )
        error(E_NULL,"_zin_prod");
    limit = min(a->dim,b->dim);
    if ( i0 > limit )
        error(E_BOUNDS,"_zin_prod");
 
    return __zip__(&(a->ve[i0]),&(b->ve[i0]),(int)(limit-i0),flag);
}
 
/* zv_mlt -- scalar-vector multiply -- may be in-situ */
ZVEC    *zv_mlt(scalar,vector,out)
complex scalar;
ZVEC    *vector,*out;
{
    /* u_int    dim, i; */
    /* complex  *out_ve, *vec_ve; */
 
    if ( vector==ZVNULL )
        error(E_NULL,"zv_mlt");
    if ( out==ZVNULL || out->dim != vector->dim )
        out = zv_resize(out,vector->dim);
    if ( scalar.re == 0.0 && scalar.im == 0.0 )
        return zv_zero(out);
    if ( scalar.re == 1.0 && scalar.im == 0.0 )
        return zv_copy(vector,out);
 
    __zmlt__(vector->ve,scalar,out->ve,(int)(vector->dim));
 
    return (out);
}
 
/* zv_add -- vector addition -- may be in-situ */
ZVEC    *zv_add(vec1,vec2,out)
ZVEC    *vec1,*vec2,*out;
{
    u_int   dim;
 
    if ( vec1==ZVNULL || vec2==ZVNULL )
        error(E_NULL,"zv_add");
    if ( vec1->dim != vec2->dim )
        error(E_SIZES,"zv_add");
    if ( out==ZVNULL || out->dim != vec1->dim )
        out = zv_resize(out,vec1->dim);
    dim = vec1->dim;
    __zadd__(vec1->ve,vec2->ve,out->ve,(int)dim);
 
    return (out);
}
 
/* zv_mltadd -- scalar/vector multiplication and addition
        -- out = v1 + scale.v2      */
ZVEC    *zv_mltadd(v1,v2,scale,out)
ZVEC    *v1,*v2,*out;
complex scale;
{
    /* register u_int   dim, i; */
    /* complex  *out_ve, *v1_ve, *v2_ve; */
 
    if ( v1==ZVNULL || v2==ZVNULL )
        error(E_NULL,"zv_mltadd");
    if ( v1->dim != v2->dim )
        error(E_SIZES,"zv_mltadd");
    if ( scale.re == 0.0 && scale.im == 0.0 )
        return zv_copy(v1,out);
    if ( scale.re == 1.0 && scale.im == 0.0 )
        return zv_add(v1,v2,out);
 
    if ( v2 != out )
    {
        tracecatch(out = zv_copy(v1,out),"zv_mltadd");
 
        /* dim = v1->dim; */
        __zmltadd__(out->ve,v2->ve,scale,(int)(v1->dim),0);
    }
    else
    {
        tracecatch(out = zv_mlt(scale,v2,out),"zv_mltadd");
        out = zv_add(v1,out,out);
    }
 
    return (out);
}
 
/* zv_sub -- vector subtraction -- may be in-situ */
ZVEC    *zv_sub(vec1,vec2,out)
ZVEC    *vec1,*vec2,*out;
{
    /* u_int    i, dim; */
    /* complex  *out_ve, *vec1_ve, *vec2_ve; */
 
    if ( vec1==ZVNULL || vec2==ZVNULL )
        error(E_NULL,"zv_sub");
    if ( vec1->dim != vec2->dim )
        error(E_SIZES,"zv_sub");
    if ( out==ZVNULL || out->dim != vec1->dim )
        out = zv_resize(out,vec1->dim);
 
    __zsub__(vec1->ve,vec2->ve,out->ve,(int)(vec1->dim));
 
    return (out);
}
 
/* zv_map -- maps function f over components of x: out[i] = f(x[i])
    -- _zv_map sets out[i] = f(x[i],params) */
ZVEC    *zv_map(f,x,out)
#ifdef PROTOYPES_IN_STRUCT
complex (*f)(complex);
#else
complex (*f)();
#endif
ZVEC    *x, *out;
{
    complex *x_ve, *out_ve;
    int i, dim;
 
    if ( ! x || ! f )
        error(E_NULL,"zv_map");
    if ( ! out || out->dim != x->dim )
        out = zv_resize(out,x->dim);
 
    dim = x->dim;   x_ve = x->ve;   out_ve = out->ve;
    for ( i = 0; i < dim; i++ )
        out_ve[i] = (*f)(x_ve[i]);
 
    return out;
}
 
ZVEC    *_zv_map(f,params,x,out)
#ifdef PROTOTYPES_IN_STRUCT
complex (*f)(void *,complex);
#else
complex (*f)();
#endif
ZVEC    *x, *out;
void    *params;
{
    complex *x_ve, *out_ve;
    int i, dim;
 
    if ( ! x || ! f )
        error(E_NULL,"_zv_map");
    if ( ! out || out->dim != x->dim )
        out = zv_resize(out,x->dim);
 
    dim = x->dim;   x_ve = x->ve;   out_ve = out->ve;
    for ( i = 0; i < dim; i++ )
        out_ve[i] = (*f)(params,x_ve[i]);
 
    return out;
}
 
/* zv_lincomb -- returns sum_i a[i].v[i], a[i] real, v[i] vectors */
ZVEC    *zv_lincomb(n,v,a,out)
int n;  /* number of a's and v's */
complex a[];
ZVEC    *v[], *out;
{
    int i;
 
    if ( ! a || ! v )
        error(E_NULL,"zv_lincomb");
    if ( n <= 0 )
        return ZVNULL;
 
    for ( i = 1; i < n; i++ )
        if ( out == v[i] )
            error(E_INSITU,"zv_lincomb");
 
    out = zv_mlt(a[0],v[0],out);
    for ( i = 1; i < n; i++ )
    {
        if ( ! v[i] )
            error(E_NULL,"zv_lincomb");
        if ( v[i]->dim != out->dim )
            error(E_SIZES,"zv_lincomb");
        out = zv_mltadd(out,v[i],a[i],out);
    }
 
    return out;
}
 
 
#ifdef ANSI_C
 
 
/* zv_linlist -- linear combinations taken from a list of arguments;
   calling:
      zv_linlist(out,v1,a1,v2,a2,...,vn,an,NULL);
   where vi are vectors (ZVEC *) and ai are numbers (complex)
*/
 
ZVEC    *zv_linlist(ZVEC *out,ZVEC *v1,complex a1,...)
{
   va_list ap;
   ZVEC *par;
   complex a_par;
 
   if ( ! v1 )
     return ZVNULL;
   
   va_start(ap, a1);
   out = zv_mlt(a1,v1,out);
   
   while ((par = va_arg(ap,ZVEC *))) {   /* NULL ends the list*/
      a_par = va_arg(ap,complex);
      if (a_par.re == 0.0 && a_par.im == 0.0) continue;
      if ( out == par )     
    error(E_INSITU,"zv_linlist");
      if ( out->dim != par->dim )   
    error(E_SIZES,"zv_linlist");
 
      if (a_par.re == 1.0 && a_par.im == 0.0)
    out = zv_add(out,par,out);
      else if (a_par.re == -1.0 && a_par.im == 0.0)
    out = zv_sub(out,par,out);
      else
    out = zv_mltadd(out,par,a_par,out); 
   } 
   
   va_end(ap);
   return out;
}
 
 
#elif VARARGS
 
/* zv_linlist -- linear combinations taken from a list of arguments;
   calling:
      zv_linlist(out,v1,a1,v2,a2,...,vn,an,NULL);
   where vi are vectors (ZVEC *) and ai are numbers (complex)
*/
ZVEC  *zv_linlist(va_alist) va_dcl
{
   va_list ap;
   ZVEC *par, *out;
   complex a_par;
 
   va_start(ap);
   out = va_arg(ap,ZVEC *);
   par = va_arg(ap,ZVEC *);
   if ( ! par ) {
      va_end(ap);
      return ZVNULL;
   }
   
   a_par = va_arg(ap,complex);
   out = zv_mlt(a_par,par,out);
   
   while ((par = va_arg(ap,ZVEC *))) {   /* NULL ends the list*/
      a_par = va_arg(ap,complex);
      if (a_par.re == 0.0 && a_par.im == 0.0) continue;
      if ( out == par )     
    error(E_INSITU,"zv_linlist");
      if ( out->dim != par->dim )   
    error(E_SIZES,"zv_linlist");
 
      if (a_par.re == 1.0 && a_par.im == 0.0)
    out = zv_add(out,par,out);
      else if (a_par.re == -1.0 && a_par.im == 0.0)
    out = zv_sub(out,par,out);
      else
    out = zv_mltadd(out,par,a_par,out); 
   } 
   
   va_end(ap);
   return out;
}
 
 
#endif
 
 
 
/* zv_star -- computes componentwise (Hadamard) product of x1 and x2
    -- result out is returned */
ZVEC    *zv_star(x1, x2, out)
ZVEC    *x1, *x2, *out;
{
    int     i;
    Real    t_re, t_im;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"zv_star");
    if ( x1->dim != x2->dim )
    error(E_SIZES,"zv_star");
    out = zv_resize(out,x1->dim);
 
    for ( i = 0; i < x1->dim; i++ )
    {
    /* out->ve[i] = x1->ve[i] * x2->ve[i]; */
    t_re = x1->ve[i].re*x2->ve[i].re - x1->ve[i].im*x2->ve[i].im;
    t_im = x1->ve[i].re*x2->ve[i].im + x1->ve[i].im*x2->ve[i].re;
    out->ve[i].re = t_re;
    out->ve[i].im = t_im;
    }
 
    return out;
}
 
/* zv_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 */
ZVEC    *zv_slash(x1, x2, out)
ZVEC    *x1, *x2, *out;
{
    int     i;
    Real    r2, t_re, t_im;
    complex tmp;
 
    if ( ! x1 || ! x2 )
    error(E_NULL,"zv_slash");
    if ( x1->dim != x2->dim )
    error(E_SIZES,"zv_slash");
    out = zv_resize(out,x1->dim);
 
    for ( i = 0; i < x1->dim; i++ )
    {
    r2 = x1->ve[i].re*x1->ve[i].re + x1->ve[i].im*x1->ve[i].im;
    if ( r2 == 0.0 )
        error(E_SING,"zv_slash");
    tmp.re =   x1->ve[i].re / r2;
    tmp.im = - x1->ve[i].im / r2;
    t_re = tmp.re*x2->ve[i].re - tmp.im*x2->ve[i].im;
    t_im = tmp.re*x2->ve[i].im - tmp.im*x2->ve[i].re;
    out->ve[i].re = t_re;
    out->ve[i].im = t_im;
    }
 
    return out;
}
 
/* zv_sum -- returns sum of entries of a vector */
complex zv_sum(x)
ZVEC    *x;
{
    int     i;
    complex sum;
 
    if ( ! x )
    error(E_NULL,"zv_sum");
 
    sum.re = sum.im = 0.0;
    for ( i = 0; i < x->dim; i++ )
    {
    sum.re += x->ve[i].re;
    sum.im += x->ve[i].im;
    }
 
    return sum;
}
 
/* px_zvec -- permute vector */
ZVEC    *px_zvec(px,vector,out)
PERM    *px;
ZVEC    *vector,*out;
{
    u_int   old_i, i, size, start;
    complex tmp;
    
    if ( px==PNULL || vector==ZVNULL )
    error(E_NULL,"px_zvec");
    if ( px->size > vector->dim )
    error(E_SIZES,"px_zvec");
    if ( out==ZVNULL || out->dim < vector->dim )
    out = zv_resize(out,vector->dim);
    
    size = px->size;
    if ( size == 0 )
    return zv_copy(vector,out);
    
    if ( out != vector )
    {
    for ( i=0; i<size; i++ )
        if ( px->pe[i] >= size )
        error(E_BOUNDS,"px_vec");
        else
        out->ve[i] = vector->ve[px->pe[i]];
    }
    else
    {   /* in situ algorithm */
    start = 0;
    while ( start < size )
    {
        old_i = start;
        i = px->pe[old_i];
        if ( i >= size )
        {
        start++;
        continue;
        }
        tmp = vector->ve[start];
        while ( TRUE )
        {
        vector->ve[old_i] = vector->ve[i];
        px->pe[old_i] = i+size;
        old_i = i;
        i = px->pe[old_i];
        if ( i >= size )
            break;
        if ( i == start )
        {
            vector->ve[old_i] = tmp;
            px->pe[old_i] = i+size;
            break;
        }
        }
        start++;
    }
    
    for ( i = 0; i < size; i++ )
        if ( px->pe[i] < size )
        error(E_BOUNDS,"px_vec");
        else
        px->pe[i] = px->pe[i]-size;
    }
    
    return out;
}
 
/* pxinv_zvec -- apply the inverse of px to x, returning the result in out
        -- may NOT be in situ */
ZVEC    *pxinv_zvec(px,x,out)
PERM    *px;
ZVEC    *x, *out;
{
    u_int   i, size;
    
    if ( ! px || ! x )
    error(E_NULL,"pxinv_zvec");
    if ( px->size > x->dim )
    error(E_SIZES,"pxinv_zvec");
    if ( ! out || out->dim < x->dim )
    out = zv_resize(out,x->dim);
    
    size = px->size;
    if ( size == 0 )
    return zv_copy(x,out);
    if ( out != x )
    {
    for ( i=0; i<size; i++ )
        if ( px->pe[i] >= size )
        error(E_BOUNDS,"pxinv_vec");
        else
        out->ve[px->pe[i]] = x->ve[i];
    }
    else
    {   /* in situ algorithm --- cheat's way out */
    px_inv(px,px);
    px_zvec(px,x,out);
    px_inv(px,px);
    }
    
    
    return out;
}
 
/* zv_rand -- randomise a complex vector; uniform in [0,1)+[0,1)*i */
ZVEC    *zv_rand(x)
ZVEC    *x;
{
    if ( ! x )
    error(E_NULL,"zv_rand");
 
    mrandlist((Real *)(x->ve),2*x->dim);
 
    return x;
}