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; }