diff --git a/dtool/src/interrogate/interfaceMakerPythonNative.cxx b/dtool/src/interrogate/interfaceMakerPythonNative.cxx
index bfcac69506..aa3be09e45 100644
--- a/dtool/src/interrogate/interfaceMakerPythonNative.cxx
+++ b/dtool/src/interrogate/interfaceMakerPythonNative.cxx
@@ -431,6 +431,12 @@ get_slotted_function_def(Object *obj, Function *func, FunctionRemap *remap,
     return true;
   }
 
+  if (method_name == "operator |=") {
+    def._answer_location = "nb_inplace_or";
+    def._wrapper_type = WT_inplace_binary_operator;
+    return true;
+  }
+
   if (method_name == "__ipow__") {
     def._answer_location = "nb_inplace_power";
     def._wrapper_type = WT_inplace_ternary_operator;
diff --git a/panda/src/cocoadisplay/cocoaGraphicsWindow.mm b/panda/src/cocoadisplay/cocoaGraphicsWindow.mm
index 0a140109c7..42490b43da 100644
--- a/panda/src/cocoadisplay/cocoaGraphicsWindow.mm
+++ b/panda/src/cocoadisplay/cocoaGraphicsWindow.mm
@@ -1618,7 +1618,7 @@ handle_key_event(NSEvent *event) {
   if ([event type] == NSKeyDown) {
     // Translate it to a unicode character for keystrokes.  I would use
     // interpretKeyEvents and insertText, but that doesn't handle dead keys.
-    TISInputSourceRef input_source = TISCopyCurrentKeyboardInputSource();
+    TISInputSourceRef input_source = TISCopyCurrentKeyboardLayoutInputSource();
     CFDataRef layout_data = (CFDataRef)TISGetInputSourceProperty(input_source, kTISPropertyUnicodeKeyLayoutData);
     const UCKeyboardLayout *layout = (const UCKeyboardLayout *)CFDataGetBytePtr(layout_data);
 
@@ -1827,7 +1827,7 @@ get_keyboard_map() const {
   const UCKeyboardLayout *layout;
 
   // Get the current keyboard layout data.
-  input_source = TISCopyCurrentKeyboardInputSource();
+  input_source = TISCopyCurrentKeyboardLayoutInputSource();
   layout_data = (CFDataRef) TISGetInputSourceProperty(input_source, kTISPropertyUnicodeKeyLayoutData);
   layout = (const UCKeyboardLayout *)CFDataGetBytePtr(layout_data);
 
diff --git a/panda/src/device/ioKitInputDevice.cxx b/panda/src/device/ioKitInputDevice.cxx
index da1369932e..8468fd4816 100644
--- a/panda/src/device/ioKitInputDevice.cxx
+++ b/panda/src/device/ioKitInputDevice.cxx
@@ -22,8 +22,11 @@
 #include "mouseButton.h"
 
 static void removal_callback(void *ctx, IOReturn result, void *sender) {
-  IOKitInputDevice *input_device = (IOKitInputDevice *)ctx;
+  // We need to hold a reference to this because it may otherwise be destroyed
+  // during the call to on_remove().
+  PT(IOKitInputDevice) input_device = (IOKitInputDevice *)ctx;
   nassertv(input_device != nullptr);
+  nassertv(input_device->test_ref_count_integrity());
   input_device->on_remove();
 }
 
diff --git a/panda/src/putil/sparseArray.cxx b/panda/src/putil/sparseArray.cxx
index 6373e53039..5404728aa1 100644
--- a/panda/src/putil/sparseArray.cxx
+++ b/panda/src/putil/sparseArray.cxx
@@ -262,8 +262,8 @@ compare_to(const SparseArray &other) const {
       return -1;
     }
 
-    --ai;
-    --bi;
+    ++ai;
+    ++bi;
   }
 
   if (ai != _subranges.rend()) {
@@ -440,9 +440,9 @@ do_remove_range(int begin, int end) {
   if (si == _subranges.end()) {
     if (!_subranges.empty()) {
       si = _subranges.begin() + _subranges.size() - 1;
-      if ((*si)._end >= begin) {
+      if ((*si)._end > begin) {
         // The new range shortens the last element of the array on the right.
-        end = std::min(end, (*si)._begin);
+        end = std::max(begin, (*si)._begin);
         (*si)._end = end;
         // It might also shorten it on the left; fall through.
       } else {
@@ -462,10 +462,10 @@ do_remove_range(int begin, int end) {
     if (si != _subranges.begin()) {
       Subranges::iterator si2 = si;
       --si2;
-      if ((*si2)._end >= begin) {
+      if ((*si2)._end > begin) {
         // The new range shortens an element within the array on the right
         // (but does not intersect the next element).
-        end = std::min(end, (*si2)._begin);
+        end = std::max(begin, (*si2)._begin);
         (*si2)._end = end;
         // It might also shorten it on the left; fall through.
         si = si2;
@@ -488,7 +488,7 @@ do_remove_range(int begin, int end) {
   }
 
   // Check if the new range removes any elements to the left.
-  while (begin <= (*si)._begin) {
+  while (begin <= (*si)._begin || (*si)._begin >= (*si)._end) {
     if (si == _subranges.begin()) {
       _subranges.erase(si);
       return;
@@ -500,6 +500,7 @@ do_remove_range(int begin, int end) {
   }
 
   (*si)._end = std::min((*si)._end, begin);
+  nassertv((*si)._end > (*si)._begin);
 }
 
 /**
diff --git a/panda/src/x11display/x11GraphicsWindow.cxx b/panda/src/x11display/x11GraphicsWindow.cxx
index 5599959cdb..0a5d969bdf 100644
--- a/panda/src/x11display/x11GraphicsWindow.cxx
+++ b/panda/src/x11display/x11GraphicsWindow.cxx
@@ -589,7 +589,13 @@ set_properties_now(WindowProperties &properties) {
       // OK, first figure out which CRTC the window is on.  It may be on more
       // than one, actually, so grab a point in the center in order to figure
       // out which one it's more-or-less mostly on.
-      LPoint2i center = _properties.get_origin() + _properties.get_size() / 2;
+      LPoint2i center(0, 0);
+      if (_properties.has_origin()) {
+        center = _properties.get_origin();
+        if (_properties.has_size()) {
+          center += _properties.get_size() / 2;
+        }
+      }
       int x, y, width, height;
       x11_pipe->find_fullscreen_crtc(center, x, y, width, height);
 
@@ -628,7 +634,7 @@ set_properties_now(WindowProperties &properties) {
         // We may need to change the screen resolution.  The code below is
         // suboptimal; in the future, we probably want to only touch the CRTC
         // that the window is on.
-        XRRScreenConfiguration *conf = _XRRGetScreenInfo(_display, _xwindow);
+        XRRScreenConfiguration *conf = _XRRGetScreenInfo(_display, _xwindow ? _xwindow : x11_pipe->get_root());
         SizeID old_size_id = x11_pipe->_XRRConfigCurrentConfiguration(conf, &_orig_rotation);
         SizeID new_size_id = (SizeID) -1;
         int num_sizes = 0;
@@ -1010,34 +1016,6 @@ open_window() {
   // Make sure we are not making X11 calls from other threads.
   LightReMutexHolder holder(x11GraphicsPipe::_x_mutex);
 
-  if (_properties.get_fullscreen() && x11_pipe->_have_xrandr) {
-    XRRScreenConfiguration* conf = _XRRGetScreenInfo(_display, x11_pipe->get_root());
-    if (_orig_size_id == (SizeID) -1) {
-      _orig_size_id = x11_pipe->_XRRConfigCurrentConfiguration(conf, &_orig_rotation);
-    }
-    int num_sizes, new_size_id = -1;
-    XRRScreenSize *xrrs;
-    xrrs = x11_pipe->_XRRSizes(_display, 0, &num_sizes);
-    for (int i = 0; i < num_sizes; ++i) {
-      if (xrrs[i].width == _properties.get_x_size() &&
-          xrrs[i].height == _properties.get_y_size()) {
-        new_size_id = i;
-      }
-    }
-    if (new_size_id == -1) {
-      x11display_cat.error()
-        << "Videocard has no supported display resolutions at specified res ("
-        << _properties.get_x_size() << " x " << _properties.get_y_size() <<")\n";
-      _orig_size_id = -1;
-      return false;
-    }
-    if (new_size_id != _orig_size_id) {
-      _XRRSetScreenConfig(_display, conf, x11_pipe->get_root(), new_size_id, _orig_rotation, CurrentTime);
-    } else {
-      _orig_size_id = -1;
-    }
-  }
-
   X11_Window parent_window = x11_pipe->get_root();
   WindowHandle *window_handle = _properties.get_parent_window();
   if (window_handle != nullptr) {
diff --git a/tests/putil/test_sparsearray.py b/tests/putil/test_sparsearray.py
new file mode 100644
index 0000000000..b7767d6e8a
--- /dev/null
+++ b/tests/putil/test_sparsearray.py
@@ -0,0 +1,234 @@
+from panda3d import core
+
+
+def test_sparse_array_set_bit_to():
+    """Tests SparseArray behavior for set_bit_to()."""
+
+    s = core.SparseArray()
+    s.set_bit_to(5, True)
+    assert s.get_bit(5)
+
+    s = core.SparseArray.all_on()
+    s.set_bit_to(5, False)
+    assert not s.get_bit(5)
+
+
+def test_sparse_array_clear():
+    """Tests SparseArray behavior for clear()."""
+
+    s = core.SparseArray.all_on()
+    s.clear()
+    assert s.is_zero()
+    assert not s.is_inverse()
+    assert s.get_num_subranges() == 0
+    assert s.get_num_on_bits() == 0
+    assert s.get_num_bits() == 0
+
+    s = core.SparseArray()
+    s.set_range(5, 10)
+    s.clear()
+    assert s.is_zero()
+    assert not s.is_inverse()
+    assert s.get_num_subranges() == 0
+    assert s.get_num_on_bits() == 0
+    assert s.get_num_bits() == 0
+
+
+def test_sparse_array_clear_range():
+    # Not using parametrize because there are too many values for that.
+    for mask in range(0x7f):
+        for begin in range(8):
+            for size in range(8):
+                b = core.BitArray(mask)
+                s = core.SparseArray(b)
+
+                s.clear_range(begin, size)
+                b.clear_range(begin, size)
+
+                assert core.BitArray(s) == b
+                assert s == core.SparseArray(b)
+
+
+def test_sparse_array_set_clear_ranges():
+    """Tests SparseArray behavior for setting and clearing ranges."""
+
+    # test clear_range with single overlapping on-range
+    # (clear_range extends beyond highest on-bit)
+    s = core.SparseArray()
+    s.set_range(2, 3)
+    s.clear_range(3, 3)
+    assert s.get_bit(2)
+    assert not s.get_bit(3)
+
+    # same as above, using set_range_to
+    s = core.SparseArray()
+    s.set_range_to(True, 2, 3)
+    s.set_range_to(False, 3, 3)
+    assert s.get_bit(2)
+    assert not s.get_bit(3)
+
+    # test clear_range using off-range which overlaps two on-ranges
+    # (lowest off-bit in lowest on-range, highest off-bit in highest on-range)
+    s = core.SparseArray()
+    s.set_range(2, 3)
+    s.set_range(7, 3)
+    s.clear_range(3, 6)
+    assert s.get_bit(2)
+    assert not s.get_bit(3)
+    assert not s.get_bit(8)
+    assert s.get_bit(9)
+
+    # same as above, using set_range_to
+    s = core.SparseArray()
+    s.set_range_to(True, 2, 3)
+    s.set_range_to(True, 7, 3)
+    s.set_range_to(False, 3, 6)
+    assert s.get_bit(2)
+    assert not s.get_bit(3)
+    assert not s.get_bit(8)
+    assert s.get_bit(9)
+
+
+def test_sparse_array_set_range():
+    """Tests SparseArray behavior for set_range()."""
+
+    # test set_range with single overlapping off-range
+    # (set_range extends beyond highest off-bit)
+    s = core.SparseArray.all_on()
+    s.clear_range(2, 3)
+    s.set_range(3, 3)
+    assert not s.get_bit(2)
+    assert s.get_bit(3)
+
+    # same as above, using set_range_to
+    s = core.SparseArray.all_on()
+    s.set_range_to(False, 2, 3)
+    s.set_range_to(True, 3, 3)
+    assert not s.get_bit(2)
+    assert s.get_bit(3)
+
+    # test set_range using on-range which overlaps two off-ranges
+    # (lowest on-bit in lowest off-range, highest on-bit in highest off-range)
+    s = core.SparseArray.all_on()
+    s.clear_range(2, 3)
+    s.clear_range(7, 3)
+    s.set_range(3, 6)
+    assert not s.get_bit(2)
+    assert s.get_bit(3)
+    assert s.get_bit(8)
+    assert not s.get_bit(9)
+
+    # same as above, using set_range_to
+    s = core.SparseArray.all_on()
+    s.set_range_to(False, 2, 3)
+    s.set_range_to(False, 7, 3)
+    s.set_range_to(True, 3, 6)
+    assert not s.get_bit(2)
+    assert s.get_bit(3)
+    assert s.get_bit(8)
+    assert not s.get_bit(9)
+
+
+def test_sparse_array_bits_in_common():
+    """Tests SparseArray behavior for has_bits_in_common()."""
+
+    s = core.SparseArray()
+    t = core.SparseArray()
+    s.set_range(2, 4)
+    t.set_range(5, 4)
+    assert s.has_bits_in_common(t)
+
+    s = core.SparseArray()
+    t = core.SparseArray()
+    s.set_range(2, 4)
+    t.set_range(6, 4)
+    assert not s.has_bits_in_common(t)
+
+
+def test_sparse_array_operations():
+    """Tests SparseArray behavior for various operations."""
+
+    # test bitshift to left
+    s = core.SparseArray()
+    s.set_bit(2)
+    t = s << 2
+    assert t.get_bit(4)
+    assert not t.get_bit(2)
+
+    # test bitshift to right
+    s = core.SparseArray()
+    s.set_bit(4)
+    t = s >> 2
+    assert t.get_bit(2)
+    assert not t.get_bit(4)
+
+    # test bitwise AND
+    s = core.SparseArray()
+    t = core.SparseArray()
+    s.set_bit(2)
+    s.set_bit(3)
+    t.set_bit(1)
+    t.set_bit(3)
+    u = s & t
+    assert not u.get_bit(0)
+    assert not u.get_bit(1)
+    assert not u.get_bit(2)
+    assert u.get_bit(3)
+
+    # test bitwise OR
+    s = core.SparseArray()
+    t = core.SparseArray()
+    s.set_bit(2)
+    s.set_bit(3)
+    t.set_bit(1)
+    t.set_bit(3)
+    u = s | t
+    assert not u.get_bit(0)
+    assert u.get_bit(1)
+    assert u.get_bit(2)
+    assert u.get_bit(3)
+
+    # test bitwise XOR
+    s = core.SparseArray()
+    t = core.SparseArray()
+    s.set_bit(2)
+    s.set_bit(3)
+    t.set_bit(1)
+    t.set_bit(3)
+    u = s ^ t
+    assert not u.get_bit(0)
+    assert u.get_bit(1)
+    assert u.get_bit(2)
+    assert not u.get_bit(3)
+
+
+def test_sparse_array_augm_assignment():
+    """Tests SparseArray behavior for augmented assignments."""
+
+    # test in-place bitshift to left
+    s = t = core.SparseArray()
+    t <<= 2
+    assert s is t
+
+    # test in-place bitshift to right
+    s = t = core.SparseArray()
+    t >>= 2
+    assert s is t
+
+    # test in-place bitwise AND
+    s = t = core.SparseArray()
+    u = core.SparseArray()
+    t &= u
+    assert s is t
+
+    # test in-place bitwise OR
+    s = t = core.SparseArray()
+    u = core.SparseArray()
+    t |= u
+    assert s is t
+
+    # test in-place bitwise XOR
+    s = t = core.SparseArray()
+    u = core.SparseArray()
+    t ^= u
+    assert s is t