/*------------------------------------------------------------------------------
Make almost coincident caps of polygons coincide.
Input: npoly = number of polygons to snap.
*poly[npoly] = array of npoly pointers to polygon structures.
Return value: number of caps adjusted.
*/
int snap(int npoly, polygon *poly[/*npoly*/])
{
#define WARNMAX 8
int i, j, ip, inull, iprune, nadj, dnadj, warnmax;
int *start;
int *total;
int p, max_pixel, ier;
long double r;
/* start by sorting polygons by pixel number*/
poly_sort(npoly,poly,'p');
/* allocate memory for pixel info arrays start and total */
/* if only self-snapping, don't use pixelization */
max_pixel=(selfsnap)? 1 : poly[npoly-1]->pixel+1;
start = (int *) malloc(sizeof(int) * max_pixel);
if (!start) {
fprintf(stderr, "snap_polys: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total = (int *) malloc(sizeof(int) * max_pixel);
if (!total) {
fprintf(stderr, "snap_polys: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
/* if we're only doing self-snapping, don't use the pixelization info */
if(selfsnap){
start[0]=0;
total[0]=npoly;
}
else{
/* build lists of starting indices of each pixel and total number of polygons in each pixel*/
ier=pixel_list(npoly, poly, max_pixel, start, total);
if (ier == -1) {
fprintf(stderr, "snap: error building pixel index lists\n");
return(-1);
}
}
/*turn off warning messages if using more than one pixel*/
warnmax= (max_pixel<=1) ? WARNMAX : 0;
/* ensure that rp is a unit vector for all polygon caps*/
for (i = 0; i < npoly; i++) {
for(ip=0; ip<poly[i]->np; ip++){
r = 0.;
for (j = 0; j < 3; j++) r += poly[i]->rp[ip][j] * poly[i]->rp[ip][j];
if (r != 1.) {
r = sqrt(r);
for (j = 0; j < 3; j++) poly[i]->rp[ip][j] /= r;
}
}
}
/* snap edges of polygons to each other */
nadj=0;
for(p=0;p<max_pixel;p++){
if(total[p]==0) continue;
dnadj=snap_polys(&fmt, total[p], &poly[start[p]], selfsnap, axtol, btol, thtol, ytol, mtol,((selfsnap)? warnmax : warnmax/2),0x0);
if(dnadj==-1) return(-1);
nadj+=dnadj;
}
/* prune polygons */
inull = 0;
for (i = 0; i < npoly; i++) {
iprune = prune_poly(poly[i], mtol);
if (iprune >= 2) {
if (WARNMAX > 0 && inull == 0)
msg("warning from snap: the following polygons have zero area:\n");
if (inull < WARNMAX) {
msg(" %d", (fmt.newid == 'o')? poly[i]->id : i);
} else if (inull == WARNMAX) {
msg(" ... more\n");
}
inull++;
}
}
if (WARNMAX > 0 && inull > 0 && inull <= WARNMAX) msg("\n");
if (inull > 0) msg("snap: %d snapped polygons have zero area (but are being retained)\n", inull);
/* assign new polygon id numbers */
if (fmt.newid == 'n') {
for (i = 0; i < npoly; i++) {
poly[i]->id = i;
}
}
if (fmt.newid == 'p') {
for (i = 0; i < npoly; i++) {
poly[i]->id = poly[i]->pixel;
}
}
msg("snap: total of %d caps adjusted\n", nadj);
return(nadj);
}
/*------------------------------------------------------------------------------
Pixelize: split polygons against a pre-defined pixel map such that each polygon is in only one pixel
Input: npoly = number of polygons.
poly = array of pointers to polygons.
npolys = maximum number of output polygons.
Output: polys = array of pointers to polygons.
Return value: number of disjoint connected polygons,
or -1 if error occurred.
*/
int pixelize(int npoly, polygon *poly[/*npoly*/], int npolys, polygon *polys[/*npolys*/])
{
/* part_poly should lasso one-boundary polygons only if they have too many caps */
#define ALL_ONEBOUNDARY 1
/* how part_poly should tighten lasso */
#define ADJUST_LASSO 1
/* part_poly should force polygon to be split even if no part can be lassoed */
#define FORCE_SPLIT 1
/* partition_poly should overwrite all original polygons */
#define OVERWRITE_ORIGINAL 2
#define WARNMAX 8
char *snapped_polys = 0x0;
int isnap,j, nadj;
int dn, dnp, failed, i, ier, inull, ip, iprune, m, n, np;
msg("pruning input polygons\n");
/* start by pruning all input polygons */
np = 0;
inull = 0;
for (i = 0; i < npoly; i++) {
iprune = prune_poly(poly[i], mtol);
/* error */
if (iprune == -1) {
fprintf(stderr, "pixelize: initial prune failed at polygon %lld\n", poly[i]->id);
return(-1);
}
/* zero area polygon */
if (iprune >= 2) {
if (WARNMAX > 0 && inull == 0) msg("warning from pixelize: the following polygons have zero area & are being discarded:\n");
if (inull < WARNMAX) {
msg(" %lld", (fmt.newid == 'o')? poly[i]->id : (long long)i+fmt.idstart);
} else if (inull == WARNMAX) {
msg(" ... more\n");
}
inull++;
} else {
np++;
}
}
if (WARNMAX > 0 && inull > 0 && inull <= WARNMAX) msg("\n");
if (inull > 0) {
msg("pixelize: %d polygons with zero area are being discarded.\n", inull);
}
/* number of polygons */
msg("pixelizing %d polygons ...\n", np);
/* set all input polygons to be in pixel 0 (whole sky)*/
inull=0;
for (i = 0; i < npoly; i++) {
if(poly[i]->pixel!=0){
poly[i]->pixel = 0;
if(WARNMAX>0 && inull ==0) msg("warning from pixelize: following polygons are being re-set to be in pixel 0:\n");
if (inull < WARNMAX) {
msg(" %lld", (fmt.newid == 'o')? poly[i]->id : (long long)i+fmt.idstart);
} else if (inull == WARNMAX) {
msg(" ... more\n");
}
inull++;
}
}
if (WARNMAX > 0 && inull > 0 && inull <= WARNMAX) msg("\n");
if (inull > 0) {
msg("pixelize: %d polygons have been re-set to be in pixel 0.\n", inull);
}
/* nullify all output polygons */
for (i = 0; i < npolys; i++) {
polys[i] = 0x0;
}
msg("pixelize stage 1 (fragment each polygon so it is in only one pixel):\n");
/*call recursive pixel_loop to split polygons into pixels*/
n=pixel_loop(0,npoly,poly,npolys,polys);
if(n==-1) return(-1);
dnp=n-np;
np=n;
msg("added %d polygons to make %d\n", dnp, np);
/* partition disconnected polygons into connected parts */
msg("pixelize stage 2 (partition disconnected polygons into connected parts):\n");
m = n;
dnp = 0;
ip = 0;
failed = 0;
for (i = 0; i < m; i++) {
/* skip null polygons */
if (!polys[i] || (polys[i]->np > 0 && polys[i]->cm[0] == 0.)) continue;
/* partition disconnected polygons */
ier = partition_poly(&polys[i], npolys - n, &polys[n], mtol, ALL_ONEBOUNDARY, ADJUST_LASSO, FORCE_SPLIT, OVERWRITE_ORIGINAL, &dn);
/* error */
if (ier == -1) {
fprintf(stderr, "pixelize: UHOH at polygon %lld; continuing ...\n", (fmt.newid == 'o')? polys[i]->id : (long long)ip+fmt.idstart);
continue;
/* return(-1); */
/* failed to partition polygon into desired number of parts */
} else if (ier == 1) {
fprintf(stderr, "pixelize: failed to partition polygon %lld fully; partitioned it into %d parts\n", (fmt.newid == 'o')? polys[i]->id : (long long)ip+fmt.idstart, dn + 1);
failed++;
}
/* increment index of next subset of fragments */
n += dn;
/* increment polygon count */
np += dn;
dnp += dn;
/* check whether exceeded maximum number of polygons */
if (n > npolys) {
fprintf(stderr, "pixelize: total number of polygons exceeded maximum %d\n", npoly + npolys);
fprintf(stderr, "if you need more space, enlarge NPOLYSMAX in defines.h, and recompile\n");
return(-1);
}
ip++;
}
msg("added %d polygons to make %d\n", dnp, np);
if (failed > 0) {
msg("pixelize: failed to split %d polygons into desired number of connected parts\n", failed);
msg(".............................................................................\n");
msg("Failure to split polygon probably means:\n");
msg("either (1) you forgot to run snap on all your input polygon files;\n");
msg(" or (2) the polygon is too small for the numerics to cope with;\n");
msg(" or (3) you have a weird-shaped polygon.\n");
msg("You may ignore this warning message if the weights of polygons in the input\n");
msg("polygon file(s) are already correct, and you do not want to reweight them.\n");
msg("Similarly, you may ignore this warning message if you do want to reweight the\n");
msg("polygons, but the weights of the different parts of each unsplit polygon are\n");
msg("the same. If you want to reweight the different parts of an unsplit polygon\n");
msg("with different weights, then you will need to split that polygon by hand.\n");
msg("Whatever the case, the output file of pixelized polygons constitutes\n");
msg("a valid mask with each polygon in only one pixel, and is safe to use.\n");
msg(".............................................................................\n");
}
/*
// prune
msg("pruning ... \n");
j = 0;
inull = 0;
for (i = 0; i < n; i++) {
iprune = prune_poly(polys[i], mtol);
if (iprune == -1) {
fprintf(stderr, "pixelize: failed to prune polygon %lld; continuing ...\n", (fmt.newid == 'o')? polys[i]->id : (long long)j+fmt.idstart);
return(-1);
}
if (iprune >= 2) {
free_poly(polys[i]);
polys[i] = 0x0;
inull++;
} else {
polys[j] = polys[i];
j++;
}
}
if (inull > 0) msg("pixelize: %d pixelized polygons have zero area, and are being discarded\n", inull);
n = j;
//allocate snapped_polys array
snapped_polys = (char *) malloc(sizeof(char) * n);
if (!snapped_polys) {
fprintf(stderr, "pixelize: failed to allocate memory for %d characters\n", n);
return(-1);
}
//snap edges of each polygon
selfsnap = 1;
nadj = snap_polys(&fmt, n, polys, selfsnap, axtol, btol, thtol, ytol, mtol, WARNMAX, snapped_polys);
if(nadj==-1){
msg("pixelize: error snapping pixelized polygons\n");
return(-1);
}
//number of polygons whose edges were snapped
isnap = 0;
for (i = 0; i < n; i++) if (snapped_polys[i]) isnap++;
if (isnap > 0) msg("pixelize: edges of %d pixelized polygons were snapped\n", isnap);
//prune snapped polygons
j = 0;
inull = 0;
for (i = 0; i < n; i++) {
if (snapped_polys[i]) {
iprune = prune_poly(polys[i], mtol);
if (iprune == -1) {
fprintf(stderr, "pixelize: failed to prune polygon %lld; continuing ...\n", (fmt.newid == 'o')? polys[i]->id : (long long)j+fmt.idstart);
// return(-1);
}
if (iprune >= 2) {
free_poly(polys[i]);
polys[i] = 0x0;
inull++;
} else {
polys[j] = polys[i];
j++;
}
} else {
polys[j] = polys[i];
j++;
}
}
if (inull > 0) msg("pixelize: %d snapped polygons have zero area, and are being discarded\n", inull);
n = j;
//free snapped_polys array
free(snapped_polys);
*/
if(n!=-1){
/* sort polygons by pixel number */
poly_sort(n, polys, 'p');
}
/* assign new polygon id numbers in place of inherited ids */
if (fmt.newid == 'n') {
for (i = 0; i < n; i++) {
polys[i]->id = (long long)i+fmt.idstart;
}
}
if (fmt.newid == 'p') {
for (i = 0; i < n; i++) {
polys[i]->id = (long long)polys[i]->pixel;
}
}
return(n);
}
/*------------------------------------------------------------------------------
Balkanize overlapping polygons into many disjoint connected polygons.
Input: npoly = number of polygons.
poly = array of pointers to polygons.
npolys = maximum number of output polygons.
mtol = tolerance angle for multiple intersections.
fmt = pointer to format structure.
axtol, btol, thtol, ytol = tolerance angles (see documentation).
Output: polys = array of pointers to polygons.
Return value: number of disjoint connected polygons,
or -1 if error occurred.
*/
int balkanize(int npoly, polygon *poly[/*npoly*/], int npolys, polygon *polys[/*npolys*/], long double mtol, format *fmt, long double axtol, long double btol, long double thtol, long double ytol)
{
/* part_poly should lasso one-boundary polygons only if they have too many caps */
#define ALL_ONEBOUNDARY 1
/* how part_poly should tighten lasso */
#define ADJUST_LASSO 1
/* part_poly should force polygon to be split even if no part can be lassoed */
#define FORCE_SPLIT 1
/* partition_poly should overwrite all original polygons */
#define OVERWRITE_ORIGINAL 2
#define WARNMAX 8
char *snapped_polys = 0x0;
int discard, dm, dn, dnp, failed, i, ier, inull, isnap, ip, iprune, j, k, m, n, nadj, np, selfsnap;
int *start;
int *total;
int begin, end, p, max_pixel;
long double tol;
poly_sort(npoly, poly, 'p');
/* allocate memory for pixel info arrays start and total */
max_pixel=poly[npoly-1]->pixel+1;
start = (int *) malloc(sizeof(int) * max_pixel);
if (!start) {
fprintf(stderr, "balkanize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total = (int *) malloc(sizeof(int) * max_pixel);
if (!total) {
fprintf(stderr, "balkanize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
/* build lists of starting indices of each pixel and total number of polygons in each pixel*/
ier=pixel_list(npoly, poly, max_pixel, start, total);
if (ier == -1) {
fprintf(stderr, "balkanize: error building pixel index lists\n");
return(-1);
}
/* start by pruning all input polygons */
np = 0;
inull = 0;
for (i = 0; i < npoly; i++) {
tol = mtol;
iprune = prune_poly(poly[i], tol);
/* error */
if (iprune == -1) {
fprintf(stderr, "balkanize: initial prune failed at polygon %d\n", poly[i]->id);
return(-1);
}
/* zero area polygon */
if (iprune >= 2) {
if (WARNMAX > 0 && inull == 0) msg("warning from balkanize: following polygons have zero area & are being discarded:\n");
if (inull < WARNMAX) {
msg(" %lld", (fmt->newid == 'o')? poly[i]->id : (long long)i);
} else if (inull == WARNMAX) {
msg(" ... more\n");
}
inull++;
} else {
np++;
}
}
if (WARNMAX > 0 && inull > 0 && inull <= WARNMAX) msg("\n");
if (inull > 0) {
msg("balkanize: %d polygons with zero area are being discarded;\n", inull);
}
/* number of polygons */
msg("balkanizing %d polygons ...\n", np);
/* nullify all output polygons */
for (i = 0; i < npolys; i++) {
polys[i] = 0x0;
}
/*
m = starting index of current set of fragments of i'th polygon
dm = number of current set of fragments of i'th polygon
n = starting index of new subset of fragments of i'th polygon
dn = number of new subset of fragments of i'th polygon
*/
msg("balkanize stage 1 (fragment into non-overlapping polygons):\n");
n = 0;
dnp = 0;
ip = 0;
/* go through each pixel and fragment each polygon against the other polygons in its pixel */
for(p=0;p<max_pixel;p++){
begin=start[p];
end=start[p]+total[p];
/* too many polygons */
if (n >= npolys) break;
/* fragment each polygon in turn */
for (i = begin; i < end; i++) {
/* skip null polygons */
if (poly[i]->np > 0 && poly[i]->cm[0] == 0.) continue;
/* update indices */
m = n;
dm = 1;
n = m + dm;
/* make sure output polygon has enough room */
ier = room_poly(&polys[m], poly[i]->np, DNP, 0);
if (ier == -1) {
fprintf(stderr, "balkanize: failed to allocate memory for polygon of %d caps\n", poly[i]->np + DNP);
return(-1);
}
/* copy polygon i into output polygon */
copy_poly(poly[i], polys[m]);
/* fragment successively against other polygons */
for (j = begin; j < end; j++) {
/* skip self, or null polygons */
if (j == i || (poly[j]->np > 0 && poly[j]->cm[0] == 0.)) continue;
/* keep only one copy of the intersection of i & j */
/* intersection inherits weight of polygon being fragmented,
so keeping later polygon ensures intersection inherits
weight of later polygon */
if (i < j) {
discard = 1;
} else {
discard = 0;
}
/* fragment each part of i'th polygon */
for (k = m; k < m + dm; k++) {
/* skip null polygons */
if (!polys[k] || (polys[k]->np > 0 && polys[k]->cm[0] == 0.)) continue;
/* fragment */
tol = mtol;
dn = fragment_poly(&polys[k], poly[j], discard, npolys - n, &polys[n], tol, bmethod);
/* error */
if (dn == -1) {
fprintf(stderr, "balkanize: UHOH at polygon %lld; continuing ...\n", (fmt->newid == 'o')? polys[i]->id : (long long)ip);
continue;
/* return(-1); */
}
/* increment index of next subset of fragments */
n += dn;
/* increment polygon count */
np += dn;
dnp += dn;
if (!polys[k]) {
np--;
dnp--;
}
/* check whether exceeded maximum number of polygons */
//printf("(1) n = %d\n", n);
if (n > npolys) {
fprintf(stderr, "(1) balkanize: total number of polygons (= %d) exceeded maximum %d\n", npoly + n, npoly + npolys);
fprintf(stderr, "if you need more space, enlarge NPOLYSMAX in defines.h, and recompile\n");
fprintf(stderr, "currently, dn = %d, np = %d, dnp = %d, poly[%d]->id = %lld, poly[%d]->pixel = %d\n", dn, np, dnp, i, poly[i]->id, i, poly[i]->pixel);
n = npolys;
#ifdef CARRY_ON_REGARDLESS
break;
#else
return(-1);
#endif
}
}
/* copy down non-null polygons */
dm = 0;
for (k = m; k < n; k++) {
if (polys[k]) {
polys[m + dm] = polys[k];
dm++;
}
}
/* nullify but don't free, because freeing polys[k] will free polys[m + dm] */
for (k = m + dm; k < n; k++) {
polys[k] = 0x0;
}
n = m + dm;
if (dm == 0) break;
}
/* too many polygons */
if (n >= npolys) break;
ip++;
}
}
free(start);
free(total);
msg("added %d polygons to make %d\n", dnp, np);
// partition disconnected polygons into connected parts
msg("balkanize stage 2 (partition disconnected polygons into connected parts):\n");
m = n;
dnp = 0;
ip = 0;
failed = 0;
for (i = 0; i < m; i++) {
// skip null polygons
if (!polys[i] || (polys[i]->np > 0 && polys[i]->cm[0] == 0.)) continue;
// partition disconnected polygons
tol = mtol;
ier = partition_poly(&polys[i], npolys - n, &polys[n], tol, ALL_ONEBOUNDARY, ADJUST_LASSO, FORCE_SPLIT, OVERWRITE_ORIGINAL, &dn);
// error
if (ier == -1) {
fprintf(stderr, "balkanize: UHOH at polygon %lld; continuing ...\n", (fmt->newid == 'o')? polys[i]->id : (long long)ip);
continue;
// return(-1);
// failed to partition polygon into desired number of parts
} else if (ier == 1) {
fprintf(stderr, "balkanize: failed to partition polygon %lld fully; partitioned it into %d parts\n", (fmt->newid == 'o')? polys[i]->id : (long long)ip, dn + 1);
failed++;
}
// increment index of next subset of fragments
n += dn;
// increment polygon count
np += dn;
dnp += dn;
// check whether exceeded maximum number of polygons
//printf("(2) n = %d\n", n);
if (n > npolys) {
fprintf(stderr, "(2) balkanize: total number of polygons (= %d) exceeded maximum %d\n", n + npoly, npoly + npolys);
fprintf(stderr, "if you need more space, enlarge NPOLYSMAX in defines.h, and recompile\n");
n = npolys;
#ifdef CARRY_ON_REGARDLESS
break;
#else
return(-1);
#endif
}
ip++;
}
msg("added %d polygons to make %d\n", dnp, np);
if (failed > 0) {
msg("balkanize: failed to split %d polygons into desired number of connected parts\n", failed);
msg(".............................................................................\n");
msg("Failure to split polygon probably means:\n");
msg("either (1) you forgot to run snap on all your input polygon files;\n");
msg(" or (2) the polygon is too small for the numerics to cope with;\n");
msg(" or (3) you have a weird-shaped polygon.\n");
msg("You may ignore this warning message if the weights of polygons in the input\n");
msg("polygon file(s) are already correct, and you do not want to reweight them.\n");
msg("Similarly, you may ignore this warning message if you do want to reweight the\n");
msg("polygons, but the weights of the different parts of each unsplit polygon are\n");
msg("the same. If you want to reweight the different parts of an unsplit polygon\n");
msg("with different weights, then you will need to split that polygon by hand.\n");
msg("Whatever the case, the output file of balkanized polygons constitutes\n");
msg("a valid mask of non-overlapping polygons, which is safe to use.\n");
msg(".............................................................................\n");
}
/* prune */
j = 0;
inull = 0;
for (i = 0; i < n; i++) {
tol = mtol;
iprune = prune_poly(polys[i], tol);
if (iprune == -1) {
fprintf(stderr, "balkanize: failed to prune polygon %lld; continuing ...\n", (fmt->newid == 'o')? polys[i]->id : (long long)j);
/* return(-1); */
}
if (iprune >= 2) {
free_poly(polys[i]);
polys[i] = 0x0;
inull++;
} else {
polys[j] = polys[i];
j++;
}
}
if (inull > 0) msg("balkanize: %d balkanized polygons have zero area, and are being discarded\n", inull);
n = j;
/*
// allocate snapped_polys array
snapped_polys = (char *) malloc(sizeof(char) * n);
if (!snapped_polys) {
fprintf(stderr, "balkanize: failed to allocate memory for %d characters\n", n);
return(-1);
}
//snap edges of each polygon
selfsnap = 1;
nadj = snap_polys(fmt, n, polys, selfsnap, axtol, btol, thtol, ytol, mtol, WARNMAX, snapped_polys);
if(nadj==-1){
msg("balkanize: error snapping balkanized polygons\n");
return(-1);
}
// number of polygons whose edges were snapped
isnap = 0;
for (i = 0; i < n; i++) if (snapped_polys[i]) isnap++;
if (isnap > 0) msg("balkanize: edges of %d balkanized polygons were snapped\n", isnap);
// prune snapped polygons
j = 0;
inull = 0;
for (i = 0; i < n; i++) {
if (snapped_polys[i]) {
iprune = prune_poly(polys[i], mtol);
if (iprune == -1) {
fprintf(stderr, "balkanize: failed to prune polygon %lld; continuing ...\n", (fmt->newid == 'o')? polys[i]->id : (long long)j);
// return(-1);
}
if (iprune >= 2) {
free_poly(polys[i]);
polys[i] = 0x0;
inull++;
} else {
polys[j] = polys[i];
j++;
}
} else {
polys[j] = polys[i];
j++;
}
}
if (inull > 0) msg("balkanize: %d snapped polygons have zero area, and are being discarded\n", inull);
n = j;
// free snapped_polys array
free(snapped_polys);
*/
if(n!=-1){
/* sort polygons by pixel number */
poly_sort(n, polys,'p');
msg("balkanize: balkans contain %d polygons\n", n);
}
/* assign new polygon id numbers in place of inherited ids */
if (fmt->newid == 'n') {
for (i = 0; i < n; i++) {
polys[i]->id = (long long)i;
}
}
if (fmt->newid == 'p') {
for (i = 0; i < n; i++) {
polys[i]->id = (long long)polys[i]->pixel;
}
}
return(n);
}
int main(void)
{
DList listhdr1, listhdr2, listhdr3, listhdr4;
int coef, expon;
initList(&listhdr1);
initList(&listhdr2);
initList(&listhdr3);
initList(&listhdr4);
//다항식 p(x) 입력
printf("다항식 p(x)의 계수, 차수 쌍을 입력하세요. 끝이면 0 0을 입력하세요. \n");
while(1){
scanf("%d %d", &coef, &expon);
if(coef==0){
if(expon!=0)
printf("계수가 0인 값은 입력 할 필요가 없습니다! \n");
else
break;
}
else
insert_node(&listhdr1, coef, expon);
}
poly_sort(&listhdr1); //p(x) 내림차순 정렬
poly_dup(&listhdr1); //p(x) 중복 차수 제거
fflush(stdin); //입력 버퍼 비우기(입력값 오류 방지)
//다항식 q(x) 입력
printf("다항식 q(x)의 계수, 차수 쌍을 입력하세요. 끝이면 0 0을 입력하세요. \n");
while(1){
scanf("%d %d", &coef, &expon);
if(coef==0){
if(expon!=0)
printf("계수가 0인 값은 입력 할 필요가 없습니다! \n");
else
break;
}
else
insert_node(&listhdr2, coef, expon);
}
poly_sort(&listhdr2); //q(x) 내림차순 정렬
poly_dup(&listhdr2); //q(x) 중복 차수 제거
fflush(stdin); //입력 버퍼 비우기(입력값 오류 방지)
poly_add(&listhdr1, &listhdr2, &listhdr3);
poly_sub(&listhdr1, &listhdr2, &listhdr4);
printf("**************** Input value ****************\n");
printf("p(x)=");
poly_print(&listhdr1);
printf("\n");
printf("q(x)=");
poly_print(&listhdr2);
printf("\n");
printf("**************** Result ****************\n");
printf("p(x)+q(x)=");
poly_print(&listhdr3);
printf("\n");
printf("p(x)-q(x)=");
poly_print(&listhdr4);
printf("\n");
system("pause");
return 0;
}
/*------------------------------------------------------------------------------
Id numbers of polygons containing az, el positions.
The az, el positions are read from in_filename,
and the results are written to out_filename.
Implemented as interpretive read/write, to permit interactive behaviour.
Input: in_filename = name of file to read from;
"" or "-" means read from standard input.
out_filename = name of file to write to;
"" or "-" means write to standard output.
fmt = pointer to format structure.
poly = array of pointers to polygons.
npoly = number of polygons in poly array.
Return value: number of lines written,
or -1 if error occurred.
*/
int poly_ids(char *in_filename, char *out_filename, format *fmt, int npoly, polygon *poly[/*npoly*/])
{
#define AZEL_STR_LEN 32
char input[] = "input", output[] = "output";
char *word, *next;
char az_str[AZEL_STR_LEN], el_str[AZEL_STR_LEN];
int i, idwidth, ird, len, nid, nids, nid0, nid2, np;
long long idmin, idmax;
long long *id;
long double *weight;
azel v;
char *out_fn;
FILE *outfile;
int *start;
int *total;
int *parent_pixels;
int p, res, max_pixel, ier, sorted;
ier=-1;
sorted=0;
while(ier!=0){
max_pixel= poly[npoly-1]->pixel;
res_max=get_res(max_pixel, scheme);
max_pixel=pixel_start(res_max+1,scheme);
/* allocate memory for pixel info arrays start and total */
msg("res_max=%d, max_pixel=%d\n",res_max,max_pixel);
start = (int *) malloc(sizeof(int) * max_pixel);
if (!start) {
fprintf(stderr, "polyid: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total = (int *) malloc(sizeof(int) * max_pixel);
if (!total) {
fprintf(stderr, "polyid: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
parent_pixels = (int *) malloc(sizeof(int) * (res_max+1));
if (!parent_pixels) {
fprintf(stderr, "polyid: failed to allocate memory for %d integers\n", res_max+1);
return(-1);
}
/* build lists of starting indices of each pixel and total number of polygons in each pixel*/
ier=pixel_list(npoly, poly, max_pixel, start, total);
if (ier == -1) {
// if pixel_list returns an error, try sorting the polygons and trying again
if(!sorted){
msg("sorting polygons...\n");
poly_sort(npoly,poly,'p');
sorted=1;
}
else{
fprintf(stderr, "poly_ids: error building pixel index lists\n");
return(-1);
}
}
}
/* open in_filename for reading */
if (!in_filename || strcmp(in_filename, "-") == 0) {
file.file = stdin;
file.name = input;
} else {
file.file = fopen(in_filename, "r");
if (!file.file) {
fprintf(stderr, "cannot open %s for reading\n", in_filename);
return(-1);
}
file.name = in_filename;
}
file.line_number = 0;
/* open out_filename for writing */
if (!out_filename || strcmp(out_filename, "-") == 0) {
outfile = stdout;
out_fn = output;
} else {
outfile = fopen(out_filename, "w");
if (!outfile) {
fprintf(stderr, "cannot open %s for writing\n", out_filename);
return(-1);
}
out_fn = out_filename;
}
/* advise angular units */
msg("will take units of input az, el angles in %s to be ", file.name);
switch (fmt->inunit) {
#include "angunit.h"
}
msg("\n");
if (fmt->outunit != fmt->inunit) {
msg("units of output az, el angles will be ");
switch (fmt->outunit) {
#include "angunit.h"
}
msg("\n");
}
/* largest width of polygon id number */
idmin = 0;
idmax = 0;
for (i = 0; i < npoly; i++) {
if (!poly[i]) continue;
if (poly[i]->id < idmin) idmin = poly[i]->id;
if (poly[i]->id > idmax) idmax = poly[i]->id;
}
idmin = ((idmin < 0)? floorl(log10l((long double)-idmin)) + 2 : 1);
idmax = ((idmax > 0)? floorl(log10l((long double)idmax)) + 1 : 1);
idwidth = ((idmin > idmax)? idmin : idmax);
/* write header */
v.az = 0.;
wrangle(v.az, fmt->outunit, fmt->outprecision, AZEL_STR_LEN, az_str);
len = strlen(az_str);
if (fmt->outunit == 'h') {
sprintf(az_str, "az(hms)");
sprintf(el_str, "el(dms)");
} else {
sprintf(az_str, "az(%c)", fmt->outunit);
sprintf(el_str, "el(%c)", fmt->outunit);
}
fprintf(outfile, "%*s %*s", len, az_str, len, el_str);
if (npoly > 0){
if(polyid_weight==1){
fprintf(outfile, " polygon_weights");
}
else{
fprintf(outfile, " polygon_ids");
}
}
fprintf(outfile, "\n");
/* interpretive read/write loop */
np = 0;
nid = 0;
nids = 0;
nid0 = 0;
nid2 = 0;
while (1) {
/* read line */
ird = rdline(&file);
/* serious error */
if (ird == -1) return(-1);
/* EOF */
if (ird == 0) break;
/* read <az> */
word = file.line;
ird = rdangle(word, &next, fmt->inunit, &v.az);
/* skip header */
if (ird != 1 && np == 0) continue;
/* otherwise exit on unrecognized characters */
if (ird != 1) break;
/* read <el> */
word = next;
ird = rdangle(word, &next, fmt->inunit, &v.el);
/* skip header */
if (ird != 1 && np == 0) continue;
/* otherwise exit on unrecognized characters */
if (ird != 1) break;
/* convert az and el from input units to radians */
scale_azel(&v, fmt->inunit, 'r');
//find out what pixel the az el point is in at the maximum resolution
p=which_pixel(v.az, v.el, res_max, scheme);
//get the list of all the possible parent pixels
get_parent_pixels(p, parent_pixels, scheme);
nid=0;
for(res=res_max;res>=0;res--){
p=parent_pixels[res];
//if this pixel isn't in the polygon list, go to next parent pixel
if(total[p]==0) continue;
// id numbers of the polygons containing position az, el
nid = poly_id(total[p], &poly[start[p]], v.az, v.el, &id, &weight);
}
/* convert az and el from radians to output units */
scale_azel(&v, 'r', fmt->outunit);
/* write result */
wrangle(v.az, fmt->outunit, fmt->outprecision, AZEL_STR_LEN, az_str);
wrangle(v.el, fmt->outunit, fmt->outprecision, AZEL_STR_LEN, el_str);
fprintf(outfile, "%s %s", az_str, el_str);
for (i = 0; i < nid; i++) {
if(polyid_weight==1){
fprintf(outfile, " %.18Lg", weight[i]);
} else{
fprintf(outfile, " %*lld", idwidth, id[i]);
}
}
fprintf(outfile, "\n");
fflush(outfile);
/* increment counters of results */
np++;
nids += nid;
if (nid == 0) {
nid0++;
} else if (nid >= 2) {
nid2++;
}
}
/* advise */
if (nid0 > 0) msg("%d points were not inside any polygon\n", nid0);
if (nid2 > 0) msg("%d points were inside >= 2 polygons\n", nid2);
if (outfile != stdout) {
if(polyid_weight==1){
msg("polyid: %d weights at %d positions written to %s\n", nids, np, out_fn);
} else {
msg("polyid: %d id numbers at %d positions written to %s\n", nids, np, out_fn);
}
}
free(start);
free(total);
free(parent_pixels);
return(np);
}
int rasterize(int nhealpix_poly, int npoly, polygon *polys[/*npoly*/], int nweights, long double weights[/*nweights*/])
{
int min_pixel, max_pixel, ier, ier_h, ier_i, i, j, ipix, ipoly, begin_r, end_r, begin_m, end_m, verb, np, iprune;
int *start_r, *start_m, *total_r, *total_m;
long double *areas, area_h, area_i, tol;
static polygon *polyint = 0x0;
/* make sure weights are all zero for rasterizer pixels */
for (i = 0; i < nhealpix_poly; i++) {
polys[i]->weight = 0.;
}
/* allocate memory for rasterizer areas array */
areas = (long double *) malloc(sizeof(long double) * (nweights));
if (!areas) {
fprintf(stderr, "rasterize: failed to allocate memory for %d long doubles\n", nweights);
exit(1);
}
/* initialize rasterizer areas array to 0 */
for (i = 0; i < nweights; i++) areas[i] = 0.;
/* allow error messages from garea */
verb = 1;
/* find areas of rasterizer pixels for later use */
for (i = 1; i <= nweights; i++) {
for (j = 0; j < nhealpix_poly; j++) {
if (polys[j]->id == i) {
tol = mtol;
ier_h = garea(polys[j], &tol, verb, &area_h);
if (ier_h == 1) {
fprintf(stderr, "fatal error in garea\n");
exit(1);
}
if (ier_h == -1) {
fprintf(stderr, "failed to allocate memory in garea\n");
exit(1);
}
areas[i-1] += area_h;
}
}
}
/* sort arrays by pixel number */
poly_sort(nhealpix_poly, polys, 'p');
poly_sort(npoly-nhealpix_poly, &(polys[nhealpix_poly]), 'p');
/* allocate memory for pixel info arrays start_r, start_m, total_r, and total_m */
min_pixel = polys[0]->pixel;
max_pixel = (polys[nhealpix_poly-1]->pixel+1>polys[npoly-1]->pixel+1)?(polys[nhealpix_poly-1]->pixel+1):(polys[npoly-1]->pixel+1);
start_r = (int *) malloc(sizeof(int) * max_pixel);
if (!start_r) {
fprintf(stderr, "rasterize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
start_m = (int *) malloc(sizeof(int) * max_pixel);
if (!start_m) {
fprintf(stderr, "rasterize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total_r = (int *) malloc(sizeof(int) * max_pixel);
if (!total_r) {
fprintf(stderr, "rasterize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total_m = (int *) malloc(sizeof(int) * max_pixel);
if (!total_m) {
fprintf(stderr, "rasterize: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
/* build lists of starting indices of each pixel and total number of polygons in each pixel */
ier = pixel_list(nhealpix_poly, polys, max_pixel, start_r, total_r);
if (ier == -1) {
fprintf(stderr, "rasterize: error building pixel index lists for rasterizer polygons\n");
return(-1);
}
ier = pixel_list(npoly-nhealpix_poly, &(polys[nhealpix_poly]), max_pixel, start_m, total_m);
if (ier == -1) {
fprintf(stderr, "rasterize: error building pixel index lists for input mask polygons\n");
return(-1);
}
/* correction due to the start_m array's offset */
for (i = min_pixel; i < max_pixel; i++) {
start_m[i] += nhealpix_poly;
}
/* compute intersection of each input mask polygon with each rasterizer polygon */
for (ipix = min_pixel; ipix < max_pixel; ipix++) {
begin_r = start_r[ipix];
end_r = start_r[ipix] + total_r[ipix];
begin_m = start_m[ipix];
end_m = start_m[ipix] + total_m[ipix];
for (ipoly = begin_m; ipoly < end_m; ipoly++) {
/* disregard any null polygons */
if (!polys[ipoly]) continue;
for (i = begin_r; i < end_r; i++) {
/* make sure polyint contains enough space for intersection */
np = polys[ipoly]->np + polys[i]->np;
ier = room_poly(&polyint, np, DNP, 0);
if (ier == -1) goto out_of_memory;
poly_poly(polys[ipoly], polys[i], polyint);
/* suppress coincident boundaries, to make garea happy */
iprune = trim_poly(polyint);
/* intersection of polys[ipoly] and polys[i] is null polygon */
if (iprune >= 2) area_i = 0.;
else {
tol = mtol;
ier_i = garea(polyint, &tol, verb, &area_i);
if (ier_i == 1) {
fprintf(stderr, "fatal error in garea\n");
return(-1);
}
if (ier_i == -1) {
fprintf(stderr, "failed to allocate memory in garea\n");
return(-1);
}
}
weights[(polys[i]->id)-1] += (area_i)*(polys[ipoly]->weight);
}
}
}
for (i=0; i<nweights; i++) {
if(areas[i]!=0){
weights[i] = weights[i]/areas[i];
}
else{
weights[i]=0;
fprintf(stderr,"WARNING: rasterize: area of rasterizer polygon %d is zero. Assigning zero weight.\n",i);
}
}
return(i+1);
/* ----- error return ----- */
out_of_memory:
fprintf(stderr, "rasterize: failed to allocate memory for polygon of %d caps\n", np + DNP);
return(-1);
}
/*------------------------------------------------------------------------------
Take pixelized polygons, find the average weight within each pixel, and return a set of polygons consisting of the pixels weighted with the average weight.
Input: poly = array of pointers to polygons.
npoly = pointer to number of polygons.
Output: polys = array of pointers to polygons;
Return value: number of polygons discarded by pixelmapping,
or -1 if error occurred.
*/
int pixelmap(int *npoly, polygon *poly[/**npoly*/])
{
int i, j, nadj, k, kstart,kend,numpix;
int *start;
int *total;
int *parent_pixels;
int begin, end, p,max_pixel,min_pixel, ier, verb,res1,res2;
long double tol,area, tot_area;
long double *av_weight;
long double *av_weight0;
poly_sort(*npoly,poly,'p');
min_pixel = poly[0]->pixel;
max_pixel = poly[*npoly-1]->pixel+1;
res1=get_res(min_pixel,scheme);
res2=get_res(max_pixel,scheme);
if(res1<res_max){
fprintf(stderr,"pixelmap: there are pixels in the mask with a lower resolution than the desired pixelmap resolution %d. The desired pixelmap resolution can be set with the -P option.\n",res_max);
fprintf(stderr,"Before using pixelmap, use pixelize with the -P0,r option to pixelize the entire mask to the desired resolution r.\n");
return(-1);
}
/* allocate memory for pixel info arrays start and total */
start = (int *) malloc(sizeof(int) * max_pixel);
if (!start) {
fprintf(stderr, "pixelmap: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
total = (int *) malloc(sizeof(int) * max_pixel);
if (!total) {
fprintf(stderr, "pixelmap: failed to allocate memory for %d integers\n", max_pixel);
return(-1);
}
/* build lists of starting indices of each pixel and total number of polygons in each pixel*/
ier=pixel_list(*npoly, poly, max_pixel, start, total);
if (ier == -1) {
fprintf(stderr, "pixelmap: error building pixel index lists\n");
return(-1);
}
//allocate memory for parent pixels array
parent_pixels = (int *) malloc(sizeof(int) * (res2+1));
if (!parent_pixels) {
fprintf(stderr, "pixelmap: failed to allocate memory for %d integers\n", res2+1);
return(-1);
}
//kstart=number of first pixel at desired output resolution
//kend=number of last pixel at desired output resolution
if(res_max==-1){
kstart=pixel_start(res1,scheme);
kend=pixel_start(res2+1,scheme)-1;
}
else{
kstart=pixel_start(res_max,scheme);
kend=pixel_start(res_max+1,scheme)-1;
}
av_weight0= (long double *) malloc(sizeof(long double) * (kend-kstart+1) );
if (!av_weight0) {
fprintf(stderr, "pixelmap: failed to allocate memory for %d integers\n", kend-kstart+1 );
return(-1);
}
//make av_weight an array indexed by the pixel number
av_weight=av_weight0-kstart;
//set av_weight array to 0 initially
for(k=kstart;k<=kend;k++){
av_weight[k]=0;
}
nadj = 0;
verb=1;
/*find average weight of polygons within each pixel*/
for(p=min_pixel;p<max_pixel;p++){
begin=start[p];
end=start[p]+total[p];
ier=get_parent_pixels(p,parent_pixels,scheme);
if(ier) return(-1);
//set k to the pixel at the desired output resolution, or to the pixel number if using
//existing resolution
k=(res_max==-1) ? p : parent_pixels[res_max];
for (i = begin; i < end; i++) {
if (!poly[i]) continue;
tol=mtol;
ier = garea(poly[i], &tol, verb, &area);
if(ier==1 || ier == -1){
fprintf(stderr, "error %d in garea in polygon %d\n", ier, poly[i]->id);
continue;
}
av_weight[k]+=poly[i]->weight * area;
}
}
//replace polygons in input array with non-zero weight pixels
j=0;
for(k=kstart;k<=kend;k++){
if(av_weight[k]==0) continue;
free_poly(poly[j]);
poly[j]=get_pixel(k,scheme);
tol=mtol;
ier = garea(poly[j], &tol, verb, &tot_area);
if(ier==1 || ier == -1){
fprintf(stderr, "pixelmap: error in garea in pixel %d\n",p);
continue;
}
poly[j]->weight=av_weight[k]/tot_area;
j++;
if(j> *npoly ){
fprintf(stderr,"pixelmap: number of pixels with non-zero weight exceeds number of polygons.\n");
fprintf(stderr, "Try running unify on your mask to remove zero-weight polygons before using pixelmap.\n");
}
}
numpix=j;
for(j=numpix; j< *npoly; j++){
free_poly(poly[j]);
poly[j] = 0x0;
nadj++;
}
*npoly=numpix;
free(start);
free(total);
free(parent_pixels);
free(av_weight0);
/* assign new polygon id numbers */
if (fmt.newid == 'n') {
for (i = 0; i < *npoly; i++) {
poly[i]->id = i;
}
}
if (fmt.newid == 'p') {
for (i = 0; i < *npoly; i++) {
poly[i]->id = poly[i]->pixel;
}
}
/* advise */
msg("pixelmap: %d pixels in map\n", numpix);
return(nadj);
}
