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rCADDMESH/src/rboxlib.c
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rboxlib.c
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/*<html><pre> -<a href="index.htm#TOC"
>-------------------------------</a><a name="TOP">-</a>
rboxlib.c
Generate input points
notes:
For documentation, see prompt[] of rbox.c
50 points generated for 'rbox D4'
WARNING:
incorrect range if qh_RANDOMmax is defined wrong (user.h)
*/
#include "random.h"
#include "libqhull.h"
#include <ctype.h>
#include <limits.h>
#include <math.h>
#include <setjmp.h>
#include <string.h>
#include <time.h>
#include <stdio.h>
#include <stdlib.h>
#ifdef _MSC_VER /* Microsoft Visual C++ */
#pragma warning( disable : 4244) /* conversion from double to int */
#pragma warning( disable : 4706) /* assignment within conditional expression. */
#pragma warning( disable : 4996) /* this function or variable may be unsafe. */
#endif
#define MAXdim 200
#define PI 3.1415926535897932384
/* ------------------------------ prototypes ----------------*/
int roundi( double a);
void out1( double a);
void out2n( double a, double b);
void out3n( double a, double b, double c);
void qh_fprintf_rbox(FILE *fp, int msgcode, const char *fmt, ... );
void qh_free(void *mem);
void *qh_malloc(size_t size);
int qh_rand( void);
void qh_srand( int seed);
/* ------------------------------ globals -------------------*/
/* No state is carried between rbox requests */
typedef struct rboxT rboxT;
struct rboxT {
FILE *fout;
FILE *ferr;
int isinteger;
double out_offset;
jmp_buf errexit; /* exit label for rboxpoints, defined by setjmp(), called by qh_errexit_rbox() */
};
int rbox_inuse= 0;
rboxT rbox;
/*-<a href="qh-qhull.htm#TOC"
>-------------------------------</a><a name="rboxpoints">-</a>
qh_rboxpoints( fout, ferr, rbox_command )
Generate points to fout according to rbox options
Report errors on ferr
returns:
0 (qh_ERRnone) on success
1 (qh_ERRinput) on input error
4 (qh_ERRmem) on memory error
5 (qh_ERRqhull) on internal error
notes:
To avoid stdio, redefine qh_malloc, qh_free, and qh_fprintf_rbox (user.c)
design:
Straight line code (consider defining a struct and functions):
Parse arguments into variables
Determine the number of points
Generate the points
*/
int qh_rboxpoints(FILE* fout, FILE* ferr, char* rbox_command) {
int i,j,k;
int gendim;
int cubesize, diamondsize, seed=0, count, apex;
int dim=3 , numpoints= 0, totpoints, addpoints=0;
int issphere=0, isaxis=0, iscdd= 0, islens= 0, isregular=0, iswidth=0, addcube=0;
int isgap=0, isspiral=0, NOcommand= 0, adddiamond=0;
int israndom=0, istime=0;
int isbox=0, issimplex=0, issimplex2=0, ismesh=0;
double width=0.0, gap=0.0, radius= 0.0;
double coord[MAXdim], offset, meshm=3.0, meshn=4.0, meshr=5.0;
double *simplex= NULL, *simplexp;
int nthroot, mult[MAXdim];
double norm, factor, randr, rangap, lensangle= 0, lensbase= 1;
double anglediff, angle, x, y, cube= 0.0, diamond= 0.0;
double box= qh_DEFAULTbox; /* scale all numbers before output */
double randmax= qh_RANDOMmax;
char command[200], seedbuf[200];
char *s= command, *t, *first_point= NULL;
time_t timedata;
int exitcode;
if (rbox_inuse) {
qh_fprintf_rbox(rbox.ferr, 6188, "rbox error: rbox in use by another process. Please lock calls to rbox.\n");
return qh_ERRqhull;
}
rbox_inuse= True;
rbox.ferr= ferr;
rbox.fout= fout;
exitcode= setjmp(rbox.errexit);
if (exitcode) {
/* same code for error exit and normal return */
if (simplex)
qh_free(simplex);
rbox_inuse= False;
return exitcode;
}
*command= '\0';
strncat(command, rbox_command, sizeof(command));
while (*s && !isspace(*s)) /* skip program name */
s++;
while (*s) {
while (*s && isspace(*s))
s++;
if (*s == '-')
s++;
if (!*s)
break;
if (isdigit(*s)) {
numpoints= qh_strtol(s, &s);
continue;
}
/* ============= read flags =============== */
switch (*s++) {
case 'c':
addcube= 1;
t= s;
while (isspace(*t))
t++;
if (*t == 'G')
cube= qh_strtod(++t, &s);
break;
case 'd':
adddiamond= 1;
t= s;
while (isspace(*t))
t++;
if (*t == 'G')
diamond= qh_strtod(++t, &s);
break;
case 'h':
iscdd= 1;
break;
case 'l':
isspiral= 1;
break;
case 'n':
NOcommand= 1;
break;
case 'r':
isregular= 1;
break;
case 's':
issphere= 1;
break;
case 't':
istime= 1;
if (isdigit(*s)) {
seed= qh_strtol(s, &s);
israndom= 0;
}else
israndom= 1;
break;
case 'x':
issimplex= 1;
break;
case 'y':
issimplex2= 1;
break;
case 'z':
rbox.isinteger= 1;
break;
case 'B':
box= qh_strtod(s, &s);
isbox= 1;
break;
case 'D':
dim= qh_strtol(s, &s);
if (dim < 1
|| dim > MAXdim) {
qh_fprintf_rbox(rbox.ferr, 6189, "rbox error: dimension, D%d, out of bounds (>=%d or <=0)", dim, MAXdim);
qh_errexit_rbox(qh_ERRinput);
}
break;
case 'G':
if (isdigit(*s))
gap= qh_strtod(s, &s);
else
gap= 0.5;
isgap= 1;
break;
case 'L':
if (isdigit(*s))
radius= qh_strtod(s, &s);
else
radius= 10;
islens= 1;
break;
case 'M':
ismesh= 1;
if (*s)
meshn= qh_strtod(s, &s);
if (*s == ',') {
++s;
meshm= qh_strtod(s, &s);
}else
meshm= 0.0;
if (*s == ',') {
++s;
meshr= qh_strtod(s, &s);
}else
meshr= sqrt(meshn*meshn + meshm*meshm);
if (*s && !isspace(*s)) {
qh_fprintf_rbox(rbox.ferr, 7069, "rbox warning: assuming 'M3,4,5' since mesh args are not integers or reals\n");
meshn= 3.0, meshm=4.0, meshr=5.0;
}
break;
case 'O':
rbox.out_offset= qh_strtod(s, &s);
break;
case 'P':
if (!first_point)
first_point= s-1;
addpoints++;
while (*s && !isspace(*s)) /* read points later */
s++;
break;
case 'W':
width= qh_strtod(s, &s);
iswidth= 1;
break;
case 'Z':
if (isdigit(*s))
radius= qh_strtod(s, &s);
else
radius= 1.0;
isaxis= 1;
break;
default:
qh_fprintf_rbox(rbox.ferr, 7070, "rbox error: unknown flag at %s.\nExecute 'rbox' without arguments for documentation.\n", s);
qh_errexit_rbox(qh_ERRinput);
}
if (*s && !isspace(*s)) {
qh_fprintf_rbox(rbox.ferr, 7071, "rbox error: missing space between flags at %s.\n", s);
qh_errexit_rbox(qh_ERRinput);
}
}
/* ============= defaults, constants, and sizes =============== */
if (rbox.isinteger && !isbox)
box= qh_DEFAULTzbox;
if (addcube) {
cubesize= (int)floor(ldexp(1.0,dim)+0.5);
if (cube == 0.0)
cube= box;
}else
cubesize= 0;
if (adddiamond) {
diamondsize= 2*dim;
if (diamond == 0.0)
diamond= box;
}else
diamondsize= 0;
if (islens) {
if (isaxis) {
qh_fprintf_rbox(rbox.ferr, 6190, "rbox error: can not combine 'Ln' with 'Zn'\n");
qh_errexit_rbox(qh_ERRinput);
}
if (radius <= 1.0) {
qh_fprintf_rbox(rbox.ferr, 6191, "rbox error: lens radius %.2g should be greater than 1.0\n",
radius);
qh_errexit_rbox(qh_ERRinput);
}
lensangle= asin(1.0/radius);
lensbase= radius * cos(lensangle);
}
if (!numpoints) {
if (issimplex2)
; /* ok */
else if (isregular + issimplex + islens + issphere + isaxis + isspiral + iswidth + ismesh) {
qh_fprintf_rbox(rbox.ferr, 6192, "rbox error: missing count\n");
qh_errexit_rbox(qh_ERRinput);
}else if (adddiamond + addcube + addpoints)
; /* ok */
else {
numpoints= 50; /* ./rbox D4 is the test case */
issphere= 1;
}
}
if ((issimplex + islens + isspiral + ismesh > 1)
|| (issimplex + issphere + isspiral + ismesh > 1)) {
qh_fprintf_rbox(rbox.ferr, 6193, "rbox error: can only specify one of 'l', 's', 'x', 'Ln', or 'Mn,m,r' ('Ln s' is ok).\n");
qh_errexit_rbox(qh_ERRinput);
}
/* ============= print header with total points =============== */
if (issimplex || ismesh)
totpoints= numpoints;
else if (issimplex2)
totpoints= numpoints+dim+1;
else if (isregular) {
totpoints= numpoints;
if (dim == 2) {
if (islens)
totpoints += numpoints - 2;
}else if (dim == 3) {
if (islens)
totpoints += 2 * numpoints;
else if (isgap)
totpoints += 1 + numpoints;
else
totpoints += 2;
}
}else
totpoints= numpoints + isaxis;
totpoints += cubesize + diamondsize + addpoints;
if (iscdd)
qh_fprintf_rbox(rbox.fout, 9391, "%s\nbegin\n %d %d %s\n",
NOcommand ? "" : command,
totpoints, dim+1,
rbox.isinteger ? "integer" : "real");
else if (NOcommand)
qh_fprintf_rbox(rbox.fout, 9392, "%d\n%d\n", dim, totpoints);
else
qh_fprintf_rbox(rbox.fout, 9393, "%d %s\n%d\n", dim, command, totpoints);
/* ============= seed randoms =============== */
if (istime == 0) {
for (s=command; *s; s++) {
if (issimplex2 && *s == 'y') /* make 'y' same seed as 'x' */
i= 'x';
else
i= *s;
seed= 11*seed + i;
}
}else if (israndom) {
seed= time(&timedata);
sprintf(seedbuf, " t%d", seed);
strncat(command, seedbuf, sizeof(command));
} /* else, seed explicitly set to n */
qh_RANDOMseed_(seed);
/* ============= explicit points =============== */
if ((s= first_point)) {
while (s && *s) { /* 'P' */
count= 0;
if (iscdd)
out1( 1.0);
while (*++s) {
out1( qh_strtod(s, &s));
count++;
if (isspace(*s) || !*s)
break;
if (*s != ',') {
qh_fprintf_rbox(rbox.ferr, 6194, "rbox error: missing comma after coordinate in %s\n\n", s);
qh_errexit_rbox(qh_ERRinput);
}
}
if (count < dim) {
for (k=dim-count; k--; )
out1( 0.0);
}else if (count > dim) {
qh_fprintf_rbox(rbox.ferr, 6195, "rbox error: %d coordinates instead of %d coordinates in %s\n\n",
count, dim, s);
qh_errexit_rbox(qh_ERRinput);
}
qh_fprintf_rbox(rbox.fout, 9394, "\n");
while ((s= strchr(s, 'P'))) {
if (isspace(s[-1]))
break;
}
}
}
/* ============= simplex distribution =============== */
if (issimplex+issimplex2) {
if (!(simplex= (double*)qh_malloc( dim * (dim+1) * sizeof(double)))) {
qh_fprintf_rbox(rbox.ferr, 6196, "rbox error: insufficient memory for simplex\n");
qh_errexit_rbox(qh_ERRmem); /* qh_ERRmem */
}
simplexp= simplex;
if (isregular) {
for (i=0; i<dim; i++) {
for (k=0; k<dim; k++)
*(simplexp++)= i==k ? 1.0 : 0.0;
}
for (k=0; k<dim; k++)
*(simplexp++)= -1.0;
}else {
for (i=0; i<dim+1; i++) {
for (k=0; k<dim; k++) {
randr= qh_RANDOMint;
*(simplexp++)= 2.0 * randr/randmax - 1.0;
}
}
}
if (issimplex2) {
simplexp= simplex;
for (i=0; i<dim+1; i++) {
if (iscdd)
out1( 1.0);
for (k=0; k<dim; k++)
out1( *(simplexp++) * box);
qh_fprintf_rbox(rbox.fout, 9395, "\n");
}
}
for (j=0; j<numpoints; j++) {
if (iswidth)
apex= qh_RANDOMint % (dim+1);
else
apex= -1;
for (k=0; k<dim; k++)
coord[k]= 0.0;
norm= 0.0;
for (i=0; i<dim+1; i++) {
randr= qh_RANDOMint;
factor= randr/randmax;
if (i == apex)
factor *= width;
norm += factor;
for (k=0; k<dim; k++) {
simplexp= simplex + i*dim + k;
coord[k] += factor * (*simplexp);
}
}
for (k=0; k<dim; k++)
coord[k] /= norm;
if (iscdd)
out1( 1.0);
for (k=0; k < dim; k++)
out1( coord[k] * box);
qh_fprintf_rbox(rbox.fout, 9396, "\n");
}
isregular= 0; /* continue with isbox */
numpoints= 0;
}
/* ============= mesh distribution =============== */
if (ismesh) {
nthroot= (int)(pow((double)numpoints, 1.0/dim) + 0.99999);
for (k=dim; k--; )
mult[k]= 0;
for (i=0; i < numpoints; i++) {
for (k=0; k < dim; k++) {
if (k == 0)
out1( mult[0] * meshn + mult[1] * (-meshm));
else if (k == 1)
out1( mult[0] * meshm + mult[1] * meshn);
else
out1( mult[k] * meshr );
}
qh_fprintf_rbox(rbox.fout, 9397, "\n");
for (k=0; k < dim; k++) {
if (++mult[k] < nthroot)
break;
mult[k]= 0;
}
}
}
/* ============= regular points for 's' =============== */
else if (isregular && !islens) {
if (dim != 2 && dim != 3) {
qh_fprintf_rbox(rbox.ferr, 6197, "rbox error: regular points can be used only in 2-d and 3-d\n\n");
qh_errexit_rbox(qh_ERRinput);
}
if (!isaxis || radius == 0.0) {
isaxis= 1;
radius= 1.0;
}
if (dim == 3) {
if (iscdd)
out1( 1.0);
out3n( 0.0, 0.0, -box);
if (!isgap) {
if (iscdd)
out1( 1.0);
out3n( 0.0, 0.0, box);
}
}
angle= 0.0;
anglediff= 2.0 * PI/numpoints;
for (i=0; i < numpoints; i++) {
angle += anglediff;
x= radius * cos(angle);
y= radius * sin(angle);
if (dim == 2) {
if (iscdd)
out1( 1.0);
out2n( x*box, y*box);
}else {
norm= sqrt(1.0 + x*x + y*y);
if (iscdd)
out1( 1.0);
out3n( box*x/norm, box*y/norm, box/norm);
if (isgap) {
x *= 1-gap;
y *= 1-gap;
norm= sqrt(1.0 + x*x + y*y);
if (iscdd)
out1( 1.0);
out3n( box*x/norm, box*y/norm, box/norm);
}
}
}
}
/* ============= regular points for 'r Ln D2' =============== */
else if (isregular && islens && dim == 2) {
double cos_0;
angle= lensangle;
anglediff= 2 * lensangle/(numpoints - 1);
cos_0= cos(lensangle);
for (i=0; i < numpoints; i++, angle -= anglediff) {
x= radius * sin(angle);
y= radius * (cos(angle) - cos_0);
if (iscdd)
out1( 1.0);
out2n( x*box, y*box);
if (i != 0 && i != numpoints - 1) {
if (iscdd)
out1( 1.0);
out2n( x*box, -y*box);
}
}
}
/* ============= regular points for 'r Ln D3' =============== */
else if (isregular && islens && dim != 2) {
if (dim != 3) {
qh_fprintf_rbox(rbox.ferr, 6198, "rbox error: regular points can be used only in 2-d and 3-d\n\n");
qh_errexit_rbox(qh_ERRinput);
}
angle= 0.0;
anglediff= 2* PI/numpoints;
if (!isgap) {
isgap= 1;
gap= 0.5;
}
offset= sqrt(radius * radius - (1-gap)*(1-gap)) - lensbase;
for (i=0; i < numpoints; i++, angle += anglediff) {
x= cos(angle);
y= sin(angle);
if (iscdd)
out1( 1.0);
out3n( box*x, box*y, 0.0);
x *= 1-gap;
y *= 1-gap;
if (iscdd)
out1( 1.0);
out3n( box*x, box*y, box * offset);
if (iscdd)
out1( 1.0);
out3n( box*x, box*y, -box * offset);
}
}
/* ============= apex of 'Zn' distribution + gendim =============== */
else {
if (isaxis) {
gendim= dim-1;
if (iscdd)
out1( 1.0);
for (j=0; j < gendim; j++)
out1( 0.0);
out1( -box);
qh_fprintf_rbox(rbox.fout, 9398, "\n");
}else if (islens)
gendim= dim-1;
else
gendim= dim;
/* ============= generate random point in unit cube =============== */
for (i=0; i < numpoints; i++) {
norm= 0.0;
for (j=0; j < gendim; j++) {
randr= qh_RANDOMint;
coord[j]= 2.0 * randr/randmax - 1.0;
norm += coord[j] * coord[j];
}
norm= sqrt(norm);
/* ============= dim-1 point of 'Zn' distribution ========== */
if (isaxis) {
if (!isgap) {
isgap= 1;
gap= 1.0;
}
randr= qh_RANDOMint;
rangap= 1.0 - gap * randr/randmax;
factor= radius * rangap / norm;
for (j=0; j<gendim; j++)
coord[j]= factor * coord[j];
/* ============= dim-1 point of 'Ln s' distribution =========== */
}else if (islens && issphere) {
if (!isgap) {
isgap= 1;
gap= 1.0;
}
randr= qh_RANDOMint;
rangap= 1.0 - gap * randr/randmax;
factor= rangap / norm;
for (j=0; j<gendim; j++)
coord[j]= factor * coord[j];
/* ============= dim-1 point of 'Ln' distribution ========== */
}else if (islens && !issphere) {
if (!isgap) {
isgap= 1;
gap= 1.0;
}
j= qh_RANDOMint % gendim;
if (coord[j] < 0)
coord[j]= -1.0 - coord[j] * gap;
else
coord[j]= 1.0 - coord[j] * gap;
/* ============= point of 'l' distribution =============== */
}else if (isspiral) {
if (dim != 3) {
qh_fprintf_rbox(rbox.ferr, 6199, "rbox error: spiral distribution is available only in 3d\n\n");
longjmp(rbox.errexit,qh_ERRinput);
}
coord[0]= cos(2*PI*i/(numpoints - 1));
coord[1]= sin(2*PI*i/(numpoints - 1));
coord[2]= 2.0*(double)i/(double)(numpoints-1) - 1.0;
/* ============= point of 's' distribution =============== */
}else if (issphere) {
factor= 1.0/norm;
if (iswidth) {
randr= qh_RANDOMint;
factor *= 1.0 - width * randr/randmax;
}
for (j=0; j<dim; j++)
coord[j]= factor * coord[j];
}
/* ============= project 'Zn s' point in to sphere =============== */
if (isaxis && issphere) {
coord[dim-1]= 1.0;
norm= 1.0;
for (j=0; j<gendim; j++)
norm += coord[j] * coord[j];
norm= sqrt(norm);
for (j=0; j<dim; j++)
coord[j]= coord[j] / norm;
if (iswidth) {
randr= qh_RANDOMint;
coord[dim-1] *= 1 - width * randr/randmax;
}
/* ============= project 'Zn' point onto cube =============== */
}else if (isaxis && !issphere) { /* not very interesting */
randr= qh_RANDOMint;
coord[dim-1]= 2.0 * randr/randmax - 1.0;
/* ============= project 'Ln' point out to sphere =============== */
}else if (islens) {
coord[dim-1]= lensbase;
for (j=0, norm= 0; j<dim; j++)
norm += coord[j] * coord[j];
norm= sqrt(norm);
for (j=0; j<dim; j++)
coord[j]= coord[j] * radius/ norm;
coord[dim-1] -= lensbase;
if (iswidth) {
randr= qh_RANDOMint;
coord[dim-1] *= 1 - width * randr/randmax;
}
if (qh_RANDOMint > randmax/2)
coord[dim-1]= -coord[dim-1];
/* ============= project 'Wn' point toward boundary =============== */
}else if (iswidth && !issphere) {
j= qh_RANDOMint % gendim;
if (coord[j] < 0)
coord[j]= -1.0 - coord[j] * width;
else
coord[j]= 1.0 - coord[j] * width;
}
/* ============= write point =============== */
if (iscdd)
out1( 1.0);
for (k=0; k < dim; k++)
out1( coord[k] * box);
qh_fprintf_rbox(rbox.fout, 9399, "\n");
}
}
/* ============= write cube vertices =============== */
if (addcube) {
for (j=0; j<cubesize; j++) {
if (iscdd)
out1( 1.0);
for (k=dim-1; k>=0; k--) {
if (j & ( 1 << k))
out1( cube);
else
out1( -cube);
}
qh_fprintf_rbox(rbox.fout, 9400, "\n");
}
}
/* ============= write diamond vertices =============== */
if (adddiamond) {
for (j=0; j<diamondsize; j++) {
if (iscdd)
out1( 1.0);
for (k=dim-1; k>=0; k--) {
if (j/2 != k)
out1( 0.0);
else if (j & 0x1)
out1( diamond);
else
out1( -diamond);
}
qh_fprintf_rbox(rbox.fout, 9401, "\n");
}
}
if (iscdd)
qh_fprintf_rbox(rbox.fout, 9402, "end\nhull\n");
/* same code for error exit and normal return */
if (simplex)
qh_free(simplex);
rbox_inuse= False;
return qh_ERRnone;
} /* rboxpoints */
/*------------------------------------------------
outxxx - output functions
*/
int roundi( double a) {
if (a < 0.0) {
if (a - 0.5 < INT_MIN) {
qh_fprintf_rbox(rbox.ferr, 6200, "rbox input error: negative coordinate %2.2g is too large. Reduce 'Bn'\n", a);
qh_errexit_rbox(qh_ERRinput);
}
return (int)(a - 0.5);
}else {
if (a + 0.5 > INT_MAX) {
qh_fprintf_rbox(rbox.ferr, 6201, "rbox input error: coordinate %2.2g is too large. Reduce 'Bn'\n", a);
qh_errexit_rbox(qh_ERRinput);
}
return (int)(a + 0.5);
}
} /* roundi */
void out1(double a) {
if (rbox.isinteger)
qh_fprintf_rbox(rbox.fout, 9403, "%d ", roundi( a+rbox.out_offset));
else
qh_fprintf_rbox(rbox.fout, 9404, qh_REAL_1, a+rbox.out_offset);
} /* out1 */
void out2n( double a, double b) {
if (rbox.isinteger)
qh_fprintf_rbox(rbox.fout, 9405, "%d %d\n", roundi(a+rbox.out_offset), roundi(b+rbox.out_offset));
else
qh_fprintf_rbox(rbox.fout, 9406, qh_REAL_2n, a+rbox.out_offset, b+rbox.out_offset);
} /* out2n */
void out3n( double a, double b, double c) {
if (rbox.isinteger)
qh_fprintf_rbox(rbox.fout, 9407, "%d %d %d\n", roundi(a+rbox.out_offset), roundi(b+rbox.out_offset), roundi(c+rbox.out_offset));
else
qh_fprintf_rbox(rbox.fout, 9408, qh_REAL_3n, a+rbox.out_offset, b+rbox.out_offset, c+rbox.out_offset);
} /* out3n */
void qh_errexit_rbox(int exitcode)
{
longjmp(rbox.errexit, exitcode);
} /* rbox_errexit */
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