int main()
{
char nl;
int i, j, K[2], K1, K2, k, k1, k2, M, m, map[2], n, nFail = 0,
stat0[128], stat1[128], status, status0, status1;
double crpix, crval[2], epsilon, *index[1], psi_0, psi_1, resid, residmax,
s[16], world[11][11][2], xt0[16], xt1[16], x0[11][11][2],
x1[11][11][2], z;
struct tabprm tab;
printf(
"Testing closure of WCSLIB tabular coordinate routines (ttab1.c)\n"
"---------------------------------------------------------------\n");
/* List status return messages. */
printf("\nList of tab status return values:\n");
for (status = 1; status <= 5; status++) {
printf("%4d: %s.\n", status, tab_errmsg[status]);
}
printf("\nReporting tolerance %5.1G.\n", tol);
/* First a 1-dimensional table without index. */
printf("\nOne-dimensional test without index:\n");
M = 1;
K[0] = 10;
tab.flag = -1;
tab.index = index;
if ((status = tabini(1, M, K, &tab))) {
printf("tabini ERROR %d: %s.\n", status, tab_errmsg[status]);
return 1;
}
tab.M = M;
tab.K[0] = K[0];
tab.map[0] = 0;
tab.crval[0] = 0.0;
tab.index[0] = 0x0;
tab.coord[0] = 101.0;
tab.coord[1] = 102.0;
tab.coord[2] = 104.0;
tab.coord[3] = 107.0;
tab.coord[4] = 111.0;
tab.coord[5] = 116.0;
tab.coord[6] = 122.0;
tab.coord[7] = 129.0;
tab.coord[8] = 137.0;
tab.coord[9] = 146.0;
xt0[0] = 1.0;
xt0[1] = 2.0;
xt0[2] = 3.0;
xt0[3] = 4.0;
xt0[4] = 5.0;
xt0[5] = 6.0;
xt0[6] = 7.0;
xt0[7] = 8.0;
xt0[8] = 9.0;
xt0[9] = 10.0;
xt0[10] = 0.5;
xt0[11] = 1.1;
xt0[12] = 2.5;
xt0[13] = 4.7;
xt0[14] = 8.125;
xt0[15] = 10.5;
status0 = tabx2s(&tab, 16, 1, (double *)xt0, (double *)s, stat0);
status1 = tabs2x(&tab, 16, 1, (double *)s, (double *)xt1, stat1);
printf(" x -> s -> x\n");
for (i = 0; i < 16; i++) {
printf("%8.5f%12.5f%9.5f", xt0[i], s[i], xt1[i]);
if (stat0[i] || stat1[i]) {
printf(" ERROR\n");
} else {
printf("\n");
}
if (i == 9) printf("\n");
}
nl = 1;
if (status0) {
if (nl) printf("\n");
printf("tabx2s ERROR %d: %s.\n", status0, tab_errmsg[status0]);
nl = 0;
}
if (status1) {
if (nl) printf("\n");
printf("tabs2x ERROR %d: %s.\n", status1, tab_errmsg[status1]);
}
/* Test closure. */
nl = 1;
residmax = 0.0;
for (i = 0; i < 16; i++) {
if (stat0[i]) {
printf("\n tabx2s: x = %6.1f, stat = %d\n", xt0[i], stat0[i]);
nl = 1;
continue;
}
if (stat1[i]) {
printf("\n tabs2x: s = %6.1f, stat = %d\n", s[i], stat1[i]);
nl = 1;
continue;
}
resid = fabs(xt1[i] - xt0[i]);
if (resid > residmax) residmax = resid;
if (resid > tol) {
nFail++;
if (nl) printf("\n");
printf(" Closure error:\n");
printf(" x = %20.15f\n", xt0[i]);
printf(" -> s = %20.15f\n", s[i]);
printf(" -> x = %20.15f\n", xt1[i]);
nl = 0;
}
}
tabfree(&tab);
tab.index = 0x0;
/* Now the 1-dimensional table from Sect. 6.2.3 of Paper III. */
printf("\n\nOne-dimensional test with index:\n");
M = 1;
K[0] = 8;
tab.flag = -1;
if ((status = tabini(1, M, K, &tab))) {
printf("tabini ERROR %d: %s.\n", status, tab_errmsg[status]);
return 1;
}
tab.M = M;
tab.K[0] = K[0];
tab.map[0] = 0;
tab.crval[0] = 0.0;
tab.index[0][0] = 0.0;
tab.index[0][1] = 1.0;
tab.index[0][2] = 1.0;
tab.index[0][3] = 2.0;
tab.index[0][4] = 2.0;
tab.index[0][5] = 3.0;
tab.index[0][6] = 3.0;
tab.index[0][7] = 4.0;
tab.coord[0] = 1997.84512;
tab.coord[1] = 1997.84631;
tab.coord[2] = 1993.28451;
tab.coord[3] = 1993.28456;
tab.coord[4] = 2001.59234;
tab.coord[5] = 2001.59239;
tab.coord[6] = 2002.18265;
tab.coord[7] = 2002.18301;
epsilon = 1e-3;
crpix = 0.5;
xt0[0] = 0.5 + epsilon - crpix;
xt0[1] = 1.0 - crpix;
xt0[2] = 1.5 - epsilon - crpix;
xt0[3] = 1.5 + epsilon - crpix;
xt0[4] = 2.0 - crpix;
xt0[5] = 2.5 - epsilon - crpix;
xt0[6] = 2.5 + epsilon - crpix;
xt0[7] = 3.0 - crpix;
xt0[8] = 3.5 - epsilon - crpix;
xt0[9] = 3.5 + epsilon - crpix;
xt0[10] = 4.0 - crpix;
xt0[11] = 4.5 - epsilon - crpix;
status0 = tabx2s(&tab, 12, 1, (double *)xt0, (double *)s, stat0);
status1 = tabs2x(&tab, 12, 1, (double *)s, (double *)xt1, stat1);
printf(" x -> time -> x\n");
for (i = 0; i < 12; i++) {
printf("%8.5f%12.5f%9.5f", xt0[i], s[i], xt1[i]);
if (stat0[i] || stat1[i]) {
printf(" ERROR\n");
} else {
printf("\n");
}
}
nl = 1;
if (status0) {
if (nl) printf("\n");
printf("tabx2s ERROR %d: %s.\n", status0, tab_errmsg[status0]);
nl = 0;
}
if (status1) {
if (nl) printf("\n");
printf("tabs2x ERROR %d: %s.\n", status1, tab_errmsg[status1]);
}
/* Test closure. */
nl = 1;
residmax = 0.0;
for (i = 0; i < 12; i++) {
if (stat0[i]) {
printf("\n tabx2s: x = %6.1f, stat = %d\n", xt0[i], stat0[i]);
nl = 1;
continue;
}
if (stat1[i]) {
printf("\n tabs2x: s = %6.1f, stat = %d\n", s[i], stat1[i]);
nl = 1;
continue;
}
resid = fabs(xt1[i] - xt0[i]);
if (resid > residmax) residmax = resid;
if (resid > tol) {
nFail++;
if (nl) printf("\n");
printf(" Closure error:\n");
printf(" x = %20.15f\n", xt0[i]);
printf(" -> s = %20.15f\n", s[i]);
printf(" -> x = %20.15f\n", xt1[i]);
nl = 0;
}
}
tabfree(&tab);
/* Now a 2-dimensional table. */
printf("\n\nTwo-dimensional test with index:\n");
M = 2;
K[0] = K1 = 32;
K[1] = K2 = 16;
map[0] = 0;
map[1] = 1;
crval[0] = 4.0;
crval[1] = -1.0;
tab.flag = -1;
if ((status = tabini(1, M, K, &tab))) {
printf("tabini ERROR %d: %s.\n", status, tab_errmsg[status]);
return 1;
}
/* Set up the tabprm struct. */
tab.M = M;
for (m = 0; m < tab.M; m++) {
tab.K[m] = K[m];
tab.map[m] = map[m];
tab.crval[m] = crval[m];
/* Construct a trivial 0-relative index. */
for (k = 0; k < tab.K[m]; k++) {
tab.index[m][k] = (double)k;
}
}
/* Construct a coordinate table. */
n = 0;
z = 1.0 / (double)((K1-1) * (K2-1));
for (k2 = 0; k2 < K2; k2++) {
for (k1 = 0; k1 < K1; k1++) {
tab.coord[n++] = 3.0*k1*k2*z;
tab.coord[n++] = -1.0*(K1-k1-1)*k2*z + 0.01*k1;
}
}
/* Construct an array of intermediate world coordinates to transform. */
for (i = 0; i < 11; i++) {
for (j = 0; j < 11; j++) {
/* Compute psi_m within bounds... */
psi_0 = i*(K1-1)/10.0;
psi_1 = j*(K2-1)/10.0;
/* ...then compute x from it. */
x0[i][j][0] = psi_0 - crval[0];
x0[i][j][1] = psi_1 - crval[1];
}
}
/* Transform them to and fro. */
status0 = tabx2s(&tab, 121, 2, (double *)x0, (double *)world, stat0);
status1 = tabs2x(&tab, 121, 2, (double *)world, (double *)x1, stat1);
/* Print the results. */
printf(" x -> s -> x \n");
n = 0;
for (i = 0; i < 11; i++) {
for (j = 0; j < 11; j++, n++) {
/* Print every sixth one only. */
if (n%6) continue;
printf("(%4.1f,%4.1f) (%4.2f,%6.3f) (%4.1f,%4.1f)",
x0[i][j][0], x0[i][j][1], world[i][j][0], world[i][j][1],
x1[i][j][0], x1[i][j][1]);
if (stat0[n] || stat1[n]) {
printf(" ERROR\n");
} else {
printf("\n");
}
}
}
nl = 1;
if (status0) {
if (nl) printf("\n");
printf("tabx2s ERROR %d: %s.\n", status0, tab_errmsg[status0]);
nl = 0;
}
if (status1) {
if (nl) printf("\n");
printf("tabs2x ERROR %d: %s.\n", status1, tab_errmsg[status1]);
}
/* Check for closure. */
n = 0;
nl = 1;
residmax = 0.0;
for (i = 0; i < 11; i++) {
for (j = 0; j < 11; j++, n++) {
if (stat0[n]) {
printf(" tabx2s: x = (%6.1f,%6.1f), stat = %d\n", x0[i][j][0],
x0[i][j][1], stat0[n]);
nl = 1;
continue;
}
if (stat1[n]) {
printf(" tabs2x: s = (%6.1f,%6.1f), stat = %d\n",
world[i][j][0], world[i][j][1], stat1[n]);
nl = 1;
continue;
}
for (m = 0; m < M; m++) {
resid = fabs(x1[i][j][m] - x0[i][j][m]);
if (resid > residmax) residmax = resid;
if (resid > tol) {
nFail++;
if (nl) printf("\n");
printf(" Closure error:\n");
printf(" x = (%20.15f,%20.15f)\n", x0[i][j][0], x0[i][j][1]);
printf(" -> w = (%20.15f,%20.15f)\n", world[i][j][0],
world[i][j][1]);
printf(" -> x = (%20.15f,%20.15f)\n", x1[i][j][0], x1[i][j][1]);
nl = 0;
break;
}
}
}
}
printf("\ntabx2s/tabs2x: Maximum closure residual = %.1e\n", residmax);
tabfree(&tab);
if (nFail) {
printf("\nFAIL: %d closure residuals exceed reporting tolerance.\n",
nFail);
} else {
printf("\nPASS: All closure residuals are within reporting tolerance.\n");
}
return nFail;
}
int main()
{
/* Set up the lookup table. */
const int M = 2;
const int K[] = {K1, K2};
const int map[] = {0, 1};
const double crval[] = {135.0, 95.0};
char text[80];
int ci, i, ilat, ilng, j, k, m, stat[K2][K1], status;
float xr[361], yr[361];
double *dp, world[361][2], x[K1], xy[361][2], y[K2];
struct tabprm tab;
struct prjprm prj;
printf(
"Testing WCSLIB inverse coordinate lookup table routines (ttab3.c)\n"
"-----------------------------------------------------------------\n");
/* List status return messages. */
printf("\nList of tab status return values:\n");
for (status = 1; status <= 5; status++) {
printf("%4d: %s.\n", status, tab_errmsg[status]);
}
printf("\n");
/* PGPLOT initialization. */
strcpy(text, "/xwindow");
cpgbeg(0, text, 1, 1);
cpgvstd();
cpgsch(0.7f);
cpgwnad(-135.0f, 135.0f, -95.0f, 140.0f);
cpgbox("BC", 0.0f, 0, "BC", 0.0f, 0);
cpgscr(0, 0.00f, 0.00f, 0.00f);
cpgscr(1, 1.00f, 1.00f, 0.00f);
cpgscr(2, 1.00f, 1.00f, 1.00f);
cpgscr(3, 0.50f, 0.50f, 0.80f);
cpgscr(4, 0.80f, 0.50f, 0.50f);
cpgscr(5, 0.80f, 0.80f, 0.80f);
cpgscr(6, 0.50f, 0.50f, 0.80f);
cpgscr(7, 0.80f, 0.50f, 0.50f);
cpgscr(8, 0.30f, 0.50f, 0.30f);
/* Set up the lookup table. */
tab.flag = -1;
if ((status = tabini(1, M, K, &tab))) {
printf("tabini ERROR %d: %s.\n", status, tab_errmsg[status]);
return 1;
}
tab.M = M;
for (m = 0; m < tab.M; m++) {
tab.K[m] = K[m];
tab.map[m] = map[m];
tab.crval[m] = crval[m];
for (k = 0; k < tab.K[m]; k++) {
tab.index[m][k] = (double)k;
}
}
/* Set up the lookup table to approximate Bonne's projection. */
for (i = 0; i < K1; i++) {
x[i] = 135 - i;
}
for (j = 0; j < K2; j++) {
y[j] = j - 95;
}
prjini(&prj);
prj.pv[1] = 35.0;
status = bonx2s(&prj, K1, K2, 1, 2, x, y, tab.coord, tab.coord+1,
(int *)stat);
dp = tab.coord;
for (j = 0; j < K2; j++) {
for (i = 0; i < K1; i++) {
if (stat[j][i]) {
*dp = 999.0;
*(dp+1) = 999.0;
}
dp += 2;
}
}
/* Draw meridians. */
ci = 1;
for (ilng = -180; ilng <= 180; ilng += 15) {
if (++ci > 7) ci = 2;
cpgsci(ilng?ci:1);
for (j = 0, ilat = -90; ilat <= 90; ilat++, j++) {
world[j][0] = (double)ilng;
world[j][1] = (double)ilat;
}
/* A fudge to account for the singularity at the poles. */
world[0][0] = 0.0;
world[180][0] = 0.0;
status = tabs2x(&tab, 181, 2, (double *)world, (double *)xy,
(int *)stat);
k = 0;
for (j = 0; j < 181; j++) {
if (stat[0][j]) {
if (k > 1) cpgline(k, xr, yr);
k = 0;
continue;
}
xr[k] = xy[j][0];
yr[k] = xy[j][1];
k++;
}
cpgline(k, xr, yr);
}
/* Draw parallels. */
ci = 1;
for (ilat = -75; ilat <= 75; ilat += 15) {
if (++ci > 7) ci = 2;
cpgsci(ilat?ci:1);
for (j = 0, ilng = -180; ilng <= 180; ilng++, j++) {
world[j][0] = (double)ilng;
world[j][1] = (double)ilat;
}
status = tabs2x(&tab, 361, 2, (double *)world, (double *)xy,
(int *)stat);
k = 0;
for (j = 0; j < 361; j++) {
if (stat[0][j]) {
if (k > 1) cpgline(k, xr, yr);
k = 0;
continue;
}
xr[k] = xy[j][0];
yr[k] = xy[j][1];
k++;
}
cpgline(k, xr, yr);
}
cpgend();
return 0;
}
