nncommon.c

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//--------------------------------------------------------------------------
//
// File:           nncommon.c
//
// Created:        04/08/2000
//
// Author:         Pavel Sakov
//                 CSIRO Marine Research
//
// Purpose:        Common stuff for NN interpolation library
//
// Description:    None
//
// Revisions:      15/11/2002 PS: Changed name from "utils.c"
//                 28/02/2003 PS: Modified points_read() to do the job without
//                   rewinding the file. This allows to read from stdin when
//                   necessary.
//                 09/04/2003 PS: Modified points_read() to read from a
//                   file specified by name, not by handle.
// Modified:       Andrew Ross 20/10/2008
//                 Change <= comparison in circle_contains() to use EPSILON
//                 to catch case where the point lies on the circle and there
//                 is floating point rounding error in the radii.
//
//--------------------------------------------------------------------------
 
#include <stdlib.h>
#include <stdio.h>
#include <stdarg.h>
#include <assert.h>
#include <math.h>
#include <limits.h>
#include <float.h>
#include <string.h>
#include <errno.h>
#include "nan.h"
#include "delaunay.h"
 
#define BUFSIZE    1024
 
#define EPSILON    1.0e-8
 
int     nn_verbose      = 0;
int     nn_test_vertice = -1;
NN_RULE nn_rule         = SIBSON;
 
#include "version.h"
 
void nn_quit( const char* format, ... );
int circle_build( circle* c, point* p1, point* p2, point* p3 );
int circle_contains( circle* c, point* p );
 
void nn_quit( const char* format, ... )
{
    va_list args;
 
    fflush( stdout );             // just in case, to have the exit message
                                  // last
 
    fprintf( stderr, "error: nn: " );
    va_start( args, format );
    vfprintf( stderr, format, args );
    va_end( args );
 
    exit( 1 );
}
 
int circle_build( circle* c, point* p1, point* p2, point* p3 )
{
    double x1sq = p1->x * p1->x;
    double x2sq = p2->x * p2->x;
    double x3sq = p3->x * p3->x;
    double y1sq = p1->y * p1->y;
    double y2sq = p2->y * p2->y;
    double y3sq = p3->y * p3->y;
    double t1   = x3sq - x2sq + y3sq - y2sq;
    double t2   = x1sq - x3sq + y1sq - y3sq;
    double t3   = x2sq - x1sq + y2sq - y1sq;
    double D    = ( p1->x * ( p2->y - p3->y ) + p2->x * ( p3->y - p1->y ) + p3->x * ( p1->y - p2->y ) ) * 2.0;
 
    if ( D == 0.0 )
        return 0;
 
    c->x = ( p1->y * t1 + p2->y * t2 + p3->y * t3 ) / D;
    c->y = -( p1->x * t1 + p2->x * t2 + p3->x * t3 ) / D;
    c->r = hypot( c->x - p1->x, c->y - p1->y );
 
    return 1;
}
 
// This procedure has taken it final shape after a number of tries. The problem
// was to have the calculated and stored radii being the same if (x,y) is
// exactly on the circle border (i.e. not to use FCPU extended precision in
// the radius calculation). This may have little effect in practice but was
// important in some tests when both input and output data were placed
// in rectangular grid nodes.
//
int circle_contains( circle* c, point* p )
{
    return hypot( c->x - p->x, c->y - p->y ) <= c->r * ( 1.0 + EPSILON );
}
 
// Smoothes the input point array by averaging the input x,y and z values
// for each cell within virtual rectangular nx by ny grid. The corners of the
// grid are created from min and max values of the input array. It also frees
// the original array and returns results and new dimension via original
// data and size pointers.
//
// @param pn Pointer to number of points (input/output)
// @param ppoints Pointer to array of points (input/output) [*pn]
// @param nx Number of x nodes in decimation
// @param ny Number of y nodes in decimation
//
void points_thin( int* pn, point** ppoints, int nx, int ny )
{
    int    n           = *pn;
    point  * points    = *ppoints;
    double xmin        = DBL_MAX;
    double xmax        = -DBL_MAX;
    double ymin        = DBL_MAX;
    double ymax        = -DBL_MAX;
    int    nxy         = nx * ny;
    double * sumx      = calloc( (size_t) nxy, sizeof ( double ) );
    double * sumy      = calloc( (size_t) nxy, sizeof ( double ) );
    double * sumz      = calloc( (size_t) nxy, sizeof ( double ) );
    int    * count     = calloc( (size_t) nxy, sizeof ( int ) );
    double stepx       = 0.0;
    double stepy       = 0.0;
    int    nnew        = 0;
    point  * pointsnew = NULL;
    int    i, j, ii;
 
    if ( nn_verbose )
        fprintf( stderr, "thinned: %d points -> ", *pn );
 
    if ( nx < 1 || ny < 1 )
    {
        free( points );
        *ppoints = NULL;
        *pn      = 0;
        if ( nn_verbose )
            fprintf( stderr, "0 points" );
        free( sumx );
        free( sumy );
        free( sumz );
        free( count );
        return;
    }
 
    for ( ii = 0; ii < n; ++ii )
    {
        point* p = &points[ii];
 
        if ( p->x < xmin )
            xmin = p->x;
        if ( p->x > xmax )
            xmax = p->x;
        if ( p->y < ymin )
            ymin = p->y;
        if ( p->y > ymax )
            ymax = p->y;
    }
 
    stepx = ( nx > 1 ) ? ( xmax - xmin ) / nx : 0.0;
    stepy = ( ny > 1 ) ? ( ymax - ymin ) / ny : 0.0;
 
    for ( ii = 0; ii < n; ++ii )
    {
        point* p = &points[ii];
        int  index;
 
        //
        // Following is the portion of the code which really depends on the
        // floating point particulars. Do not be surprised if different
        // compilers/options give different results here.
        //
        i = ( nx == 1 ) ? 0 : (int) ( ( p->x - xmin ) / stepx );
        j = ( ny == 1 ) ? 0 : (int) ( ( p->y - ymin ) / stepy );
 
        if ( i == nx )
            i--;
        if ( j == ny )
            j--;
        index        = i + j * nx;
        sumx[index] += p->x;
        sumy[index] += p->y;
        sumz[index] += p->z;
        count[index]++;
    }
 
    for ( j = 0; j < ny; ++j )
    {
        for ( i = 0; i < nx; ++i )
        {
            int index = i + j * nx;
 
            if ( count[index] > 0 )
                nnew++;
        }
    }
 
    pointsnew = malloc( (size_t) nnew * sizeof ( point ) );
 
    ii = 0;
    for ( j = 0; j < ny; ++j )
    {
        for ( i = 0; i < nx; ++i )
        {
            int index = i + j * nx;
            int nn    = count[index];
 
            if ( nn > 0 )
            {
                point* p = &pointsnew[ii];
 
                p->x = sumx[index] / nn;
                p->y = sumy[index] / nn;
                p->z = sumz[index] / nn;
                ii++;
            }
        }
    }
 
    if ( nn_verbose )
        fprintf( stderr, "%d points\n", nnew );
 
    free( sumx );
    free( sumy );
    free( sumz );
    free( count );
 
    free( points );
    *ppoints = pointsnew;
    *pn      = nnew;
}
 
// Generates rectangular grid nx by ny using min and max x and y values from
// the input point array. Allocates space for the output point array, be sure
// to free it when necessary!
//
// @param n Number of points
// @param points Array of points [n]
// @param nx Number of x nodes
// @param ny Number of y nodes
// @param zoom Zoom coefficient
// @param nout Pointer to number of output points
// @param pout Pointer to array of output points [*nout]
//
void points_generate1( int nin, point pin[], int nx, int ny, double zoom, int* nout, point** pout )
{
    double xmin = DBL_MAX;
    double xmax = -DBL_MAX;
    double ymin = DBL_MAX;
    double ymax = -DBL_MAX;
    double stepx, stepy;
    double x0, xx, yy;
    int    i, j, ii;
 
    if ( nx < 1 || ny < 1 )
    {
        *pout = NULL;
        *nout = 0;
        return;
    }
 
    for ( ii = 0; ii < nin; ++ii )
    {
        point* p = &pin[ii];
 
        if ( p->x < xmin )
            xmin = p->x;
        if ( p->x > xmax )
            xmax = p->x;
        if ( p->y < ymin )
            ymin = p->y;
        if ( p->y > ymax )
            ymax = p->y;
    }
 
    if ( isnan( zoom ) || zoom <= 0.0 )
        zoom = 1.0;
 
    if ( zoom != 1.0 )
    {
        double xdiff2 = ( xmax - xmin ) / 2.0;
        double ydiff2 = ( ymax - ymin ) / 2.0;
        double xav    = ( xmax + xmin ) / 2.0;
        double yav    = ( ymax + ymin ) / 2.0;
 
        xmin = xav - xdiff2 * zoom;
        xmax = xav + xdiff2 * zoom;
        ymin = yav - ydiff2 * zoom;
        ymax = yav + ydiff2 * zoom;
    }
 
    *nout = nx * ny;
    *pout = malloc( (size_t) ( *nout ) * sizeof ( point ) );
 
    stepx = ( nx > 1 ) ? ( xmax - xmin ) / ( nx - 1 ) : 0.0;
    stepy = ( ny > 1 ) ? ( ymax - ymin ) / ( ny - 1 ) : 0.0;
    x0    = ( nx > 1 ) ? xmin : ( xmin + xmax ) / 2.0;
    yy    = ( ny > 1 ) ? ymin : ( ymin + ymax ) / 2.0;
 
    ii = 0;
    for ( j = 0; j < ny; ++j )
    {
        xx = x0;
        for ( i = 0; i < nx; ++i )
        {
            point* p = &( *pout )[ii];
 
            p->x = xx;
            p->y = yy;
            xx  += stepx;
            ii++;
        }
        yy += stepy;
    }
}
 
// Generates rectangular grid nx by ny using specified min and max x and y
// values. Allocates space for the output point array, be sure to free it
// when necessary!
//
// @param xmin Min x value
// @param xmax Max x value
// @param ymin Min y value
// @param ymax Max y value
// @param nx Number of x nodes
// @param ny Number of y nodes
// @param nout Pointer to number of output points
// @param pout Pointer to array of output points [*nout]
//
void points_generate2( double xmin, double xmax, double ymin, double ymax, int nx, int ny, int* nout, point** pout )
{
    double stepx, stepy;
    double x0, xx, yy;
    int    i, j, ii;
 
    if ( nx < 1 || ny < 1 )
    {
        *pout = NULL;
        *nout = 0;
        return;
    }
 
    *nout = nx * ny;
    *pout = malloc( (size_t) ( *nout ) * sizeof ( point ) );
 
    stepx = ( nx > 1 ) ? ( xmax - xmin ) / ( nx - 1 ) : 0.0;
    stepy = ( ny > 1 ) ? ( ymax - ymin ) / ( ny - 1 ) : 0.0;
    x0    = ( nx > 1 ) ? xmin : ( xmin + xmax ) / 2.0;
    yy    = ( ny > 1 ) ? ymin : ( ymin + ymax ) / 2.0;
 
    ii = 0;
    for ( j = 0; j < ny; ++j )
    {
        xx = x0;
        for ( i = 0; i < nx; ++i )
        {
            point* p = &( *pout )[ii];
 
            p->x = xx;
            p->y = yy;
            xx  += stepx;
            ii++;
        }
        yy += stepy;
    }
}
 
static int str2double( char* token, double* value )
{
    char* end = NULL;
 
    if ( token == NULL )
    {
        *value = NaN;
        return 0;
    }
 
    *value = strtod( token, &end );
 
    if ( end == token )
    {
        *value = NaN;
        return 0;
    }
 
    return 1;
}
 
#define NALLOCATED_START    1024
 
// Reads array of points from a columnar file.
//
// @param fname File name (can be "stdin" for standard input)
// @param dim Number of dimensions (must be 2 or 3)
// @param n Pointer to number of points (output)
// @param points Pointer to array of points [*n] (output) (to be freed)
//
void points_read( char* fname, int dim, int* n, point** points )
{
    FILE * f        = NULL;
    int  nallocated = NALLOCATED_START;
    char buf[BUFSIZE];
    char seps[] = " ,;\t";
    char * token;
 
    if ( dim < 2 || dim > 3 )
    {
        *n      = 0;
        *points = NULL;
        return;
    }
 
    if ( fname == NULL )
        f = stdin;
    else
    {
        if ( strcmp( fname, "stdin" ) == 0 || strcmp( fname, "-" ) == 0 )
            f = stdin;
        else
        {
            f = fopen( fname, "r" );
            if ( f == NULL )
                nn_quit( "%s: %s\n", fname, strerror( errno ) );
        }
    }
 
    *points = malloc( (size_t) nallocated * sizeof ( point ) );
    *n      = 0;
    while ( fgets( buf, BUFSIZE, f ) != NULL )
    {
        point* p;
 
        if ( *n == nallocated )
        {
            nallocated *= 2;
            *points     = realloc( *points, (size_t) nallocated * sizeof ( point ) );
        }
 
        p = &( *points )[*n];
 
        if ( buf[0] == '#' )
            continue;
        if ( ( token = strtok( buf, seps ) ) == NULL )
            continue;
        if ( !str2double( token, &p->x ) )
            continue;
        if ( ( token = strtok( NULL, seps ) ) == NULL )
            continue;
        if ( !str2double( token, &p->y ) )
            continue;
        if ( dim == 2 )
            p->z = NaN;
        else
        {
            if ( ( token = strtok( NULL, seps ) ) == NULL )
                continue;
            if ( !str2double( token, &p->z ) )
                continue;
        }
        ( *n )++;
    }
 
    if ( *n == 0 )
    {
        free( *points );
        *points = NULL;
    }
    else
        *points = realloc( *points, (size_t) ( *n ) * sizeof ( point ) );
 
    if ( f != stdin )
        if ( fclose( f ) != 0 )
            nn_quit( "%s: %s\n", fname, strerror( errno ) );
}
 
//* Scales Y coordinate so that the resulting set fits into square:
//** xmax - xmin = ymax - ymin
//*
//* @param n Number of points
//* @param points The points to scale
//* @return Y axis compression coefficient
//
double points_scaletosquare( int n, point* points )
{
    double xmin, ymin, xmax, ymax;
    double k;
    int    i;
 
    if ( n <= 0 )
        return NaN;
 
    xmin = xmax = points[0].x;
    ymin = ymax = points[0].y;
 
    for ( i = 1; i < n; ++i )
    {
        point* p = &points[i];
 
        if ( p->x < xmin )
            xmin = p->x;
        else if ( p->x > xmax )
            xmax = p->x;
        if ( p->y < ymin )
            ymin = p->y;
        else if ( p->y > ymax )
            ymax = p->y;
    }
 
    if ( xmin == xmax || ymin == ymax )
        return NaN;
    else
        k = ( ymax - ymin ) / ( xmax - xmin );
 
    for ( i = 0; i < n; ++i )
        points[i].y /= k;
 
    return k;
}
 
//* Compresses Y domain by a given multiple.
//
// @param n Number of points
// @param points The points to scale
// @param Y axis compression coefficient as returned by points_scaletosquare()
//
void points_scale( int n, point* points, double k )
{
    int i;
 
    for ( i = 0; i < n; ++i )
        points[i].y /= k;
}