Fixed default numresolution for small JPEG2000 images

Tests/test_file_jpeg2k.py

@@ -127,6 +127,16 @@ def test_prog_res_rt():
     assert_image_equal(im, test_card)
 
 
+def test_default_num_resolutions():
+    for num_resolutions in range(2, 6):
+        d = 1 << (num_resolutions - 1)
+        im = test_card.resize((d - 1, d - 1))
+
+        with pytest.raises(OSError):
+            roundtrip(im, num_resolutions=num_resolutions)
+        roundtrip(im)
+
+
 def test_reduce():
     with Image.open("Tests/images/test-card-lossless.jp2") as im:
         assert callable(im.reduce)

src/libImaging/Jpeg2KEncode.c

@@ -458,6 +458,12 @@ j2k_encode_entry(Imaging im, ImagingCodecState state) {
             break;
     }
 
+    if (!context->num_resolutions) {
+        do {
+            params.numresolution -= 1;
+        } while (tile_width < (1 << (params.numresolution - 1U)) || tile_height < (1 << (params.numresolution - 1U)));
+    }
+
     if (context->cinema_mode != OPJ_OFF) {
         j2k_set_cinema_params(im, components, &params);
     }