public void test_query_disc_strict() throws Exception {
System.out.println("Testing non-inclusive queryDisc()");
Random rng = new Random(5);
for (int o = 0; o <= 5; ++o) {
int npix = (int) HealpixProc.order2Npix(o);
boolean[] map = new boolean[npix];
Vec3[] vmap = new Vec3[npix];
for (int m = 0; m < npix; ++m) {
map[m] = false;
vmap[m] = HealpixProc.pix2vecRing(o, m);
}
for (int m = 0; m < nsamples; ++m) {
Pointing ptg = random_dir(rng);
double rad = Math.PI * rng.nextDouble();
RangeSet rs = HealpixProc.queryDiscRing(o, ptg, rad);
Vec3 vptg = new Vec3(ptg);
double cosrad = Math.cos(rad);
for (int i = 0; i < rs.nranges(); ++i)
for (long j = rs.ivbegin(i); j < rs.ivend(i); ++j) map[(int) j] = true;
for (int i = 0; i < npix; ++i) {
boolean inside = vmap[i].dot(vptg) > cosrad;
assertFalse("query_disc_strict problem", inside ^ map[i]);
}
for (int i = 0; i < rs.nranges(); ++i)
for (long j = rs.ivbegin(i); j < rs.ivend(i); ++j) map[(int) j] = false;
}
}
}
public void test_ringnestring() throws Exception {
System.out.println("Testing identity ring2nest(nest2ring(i))==i");
Random rng = new Random(5);
for (int o = 0; o <= HealpixBase.order_max; ++o) {
for (int m = 0; m < nsamples; ++m) {
long pix = (long) (rng.nextDouble() * HealpixProc.order2Npix(o));
assertEquals(
"ringnestring problem", HealpixProc.ring2nest(o, HealpixProc.nest2ring(o, pix)), pix);
}
}
}
public void test_pixangpix() throws Exception {
System.out.println("Testing identity pix2ang(ang2pix(i))==i");
int omax = HealpixBase.order_max;
Random rng = new Random(5);
for (int o = 0; o <= omax; ++o) {
for (int m = 0; m < nsamples; ++m) {
long pix = (long) (rng.nextDouble() * HealpixProc.order2Npix(o));
assertEquals(
"pixangpix problem", pix, HealpixProc.ang2pixNest(o, HealpixProc.pix2angNest(o, pix)));
assertEquals(
"pixangpix problem", pix, HealpixProc.ang2pixRing(o, HealpixProc.pix2angRing(o, pix)));
}
}
}
public void testQueryPolygon() throws Exception {
System.out.println("Testing queryPolygon()");
Pointing[] corner = new Pointing[4];
corner[0] = new Pointing(new Vec3(1, 0.01, 0.01));
corner[1] = new Pointing(new Vec3(1, 1, -0.3));
corner[2] = new Pointing(new Vec3(0.01, 1, 0.01));
corner[3] = new Pointing(new Vec3(0.01, 0.01, 1));
RangeSet lrs = HealpixProc.queryPolygonNest(10, corner);
assertEquals("QueryPolygon problem", lrs.nval(), 1696714);
lrs = HealpixProc.queryPolygonInclusiveNest(10, corner, 4);
assertEquals("QueryPolygon problem", lrs.nval(), 1700206);
lrs = HealpixProc.queryPolygonRing(10, corner);
assertEquals("QueryPolygon problem", lrs.nval(), 1696714);
lrs = HealpixProc.queryPolygonInclusiveRing(10, corner, 4);
assertEquals("QueryPolygon problem", lrs.nval(), 1700206);
}
public void test_query_disc() throws Exception {
System.out.println("Testing queryDisc() empirically");
int omax = 17;
Random rng = new Random(5);
for (int o = 0; o <= omax; ++o) {
int niter = Math.max(1, Math.min(nsamples / 1000, 100000 >> o));
for (int m = 0; m < niter; ++m) {
Pointing ptg = random_dir(rng);
double rad = Math.PI * rng.nextDouble();
RangeSet rs = HealpixProc.queryDiscRing(o, ptg, rad);
long nval = rs.nval();
rs = HealpixProc.queryDiscNest(o, ptg, rad);
assertEquals("queryDisc problem 1", nval, rs.nval());
rs = HealpixProc.queryDiscInclusiveRing(o, ptg, rad, 4);
long nv1 = rs.nval();
rs = HealpixProc.queryDiscInclusiveNest(o, ptg, rad, 4);
long nv2 = rs.nval();
assertTrue("queryDisc problem 2", nv1 >= nv2);
assertTrue("queryDisc problem 3", nv2 >= nval);
}
}
}
public void testQueryPolygon2() throws Exception {
System.out.println("Testing queryPolygon() empirically");
int omax = 17;
Random rng = new Random(5);
for (int o = 0; o <= omax; ++o) {
int niter = Math.max(1, Math.min(nsamples / 1000, 100000 >> o));
for (int m = 0; m < niter; ++m) {
Pointing[] corner = new Pointing[3];
corner[0] = random_dir(rng);
corner[1] = random_dir(rng);
corner[2] = random_dir(rng);
RangeSet rs = HealpixProc.queryPolygonRing(o, corner);
long nval = rs.nval();
rs = HealpixProc.queryPolygonNest(o, corner);
assertEquals("queryPolygon problem 1", nval, rs.nval());
rs = HealpixProc.queryPolygonInclusiveRing(o, corner, 4);
long nv1 = rs.nval();
rs = HealpixProc.queryPolygonInclusiveNest(o, corner, 4);
long nv2 = rs.nval();
assertTrue("queryPolygon problem 2", nv1 >= nv2);
assertTrue("queryPolygon problem 3", nv2 >= nval);
}
}
}
public void test_neighbours() throws Exception {
System.out.println("Testing neighbour function");
int omax = HealpixBase.order_max;
Random rng = new Random(5);
for (int o = 0; o <= omax; ++o) {
double maxang = 2.01 * HealpixProc.maxPixrad(o);
for (int m = 0; m < nsamples; ++m) {
long pix = (long) (rng.nextDouble() * HealpixProc.order2Npix(o));
Vec3 v = HealpixProc.pix2vecRing(o, pix);
long[] nb = HealpixProc.neighboursRing(o, pix);
long[] nb2 = HealpixProc.neighboursNest(o, HealpixProc.ring2nest(o, pix));
int nnb = 0;
for (int n = 0; n < 8; ++n) {
if (nb[n] < 0) assertTrue("neighbour problem 1", nb2[n] < 0);
else {
++nnb;
assertEquals("neighbour problem 2", HealpixProc.ring2nest(o, nb[n]), nb2[n]);
assertTrue("neighbour problem 3", HealpixProc.pix2vecRing(o, nb[n]).angle(v) < maxang);
}
}
assertTrue("neighbour problem 4 " + o + " " + nnb, (nnb >= 7) || ((o == 0) && (nnb >= 6)));
}
}
}
public void test_accuracy() throws Exception {
System.out.println("Testing accuracy near the poles");
for (int order = 0; order <= HealpixBase.order_max; ++order)
assertTrue("incorrect pix2ang", HealpixProc.pix2angRing(order, 1).theta > 0.0);
}
public void test() throws Exception {
int o = 8;
for (int i = 0; i < HealpixProc.order2Npix(o); ++i) {
assertEquals(
"pixel mismatch_nest", i, HealpixProc.ang2pixNest(o, HealpixProc.pix2angNest(o, i)));
assertEquals(
"pixel mismatch_nest", i, HealpixProc.vec2pixNest(o, HealpixProc.pix2vecNest(o, i)));
assertEquals(
"pixel mismatch_ring", i, HealpixProc.ang2pixRing(o, HealpixProc.pix2angRing(o, i)));
assertEquals(
"pixel mismatch_ring", i, HealpixProc.vec2pixRing(o, HealpixProc.pix2vecRing(o, i)));
assertEquals(
"pixel mismatch",
i,
HealpixProc.ring2nest(o, HealpixProc.ang2pixRing(o, HealpixProc.pix2angNest(o, i))));
assertEquals(
"pixel mismatch_ringnestring", i, HealpixProc.ring2nest(o, HealpixProc.nest2ring(o, i)));
}
}