diff --git a/examples/pointer.c b/examples/pointer.c
index bae205f5..98b4735a 100644
--- a/examples/pointer.c
+++ b/examples/pointer.c
@@ -58,12 +58,20 @@ struct touch_point {
 	double x, y;
 };
 
-static void warp_to_touch(struct sample_state *sample) {
-	wlr_log(L_DEBUG, "TODO: warp to touch");
+static void warp_to_touch(struct sample_state *sample, struct wlr_input_device *dev) {
+	if (sample->touch_points->length == 0) {
+		return;
+	}
+
+	double x = 0, y = 0;
 	for (size_t i = 0; i < sample->touch_points->length; ++i) {
 		struct touch_point *point = sample->touch_points->items[i];
-		wlr_log(L_DEBUG, "have point x=%f,y=%f", point->x, point->y);
+		x += point->x;
+		y += point->y;
 	}
+	x /= sample->touch_points->length;
+	y /= sample->touch_points->length;
+	wlr_cursor_warp_absolute(sample->cursor, dev, x, y);
 }
 
 static void handle_output_frame(struct output_state *output, struct timespec *ts) {
@@ -248,7 +256,7 @@ static void handle_touch_up(struct wl_listener *listener, void *data) {
 		}
 	}
 
-	warp_to_touch(sample);
+	warp_to_touch(sample, event->device);
 }
 
 static void handle_touch_down(struct wl_listener *listener, void *data) {
@@ -262,7 +270,7 @@ static void handle_touch_down(struct wl_listener *listener, void *data) {
 		free(point);
 	}
 
-	warp_to_touch(sample);
+	warp_to_touch(sample, event->device);
 }
 
 static void handle_touch_motion(struct wl_listener *listener, void *data) {
@@ -277,7 +285,7 @@ static void handle_touch_motion(struct wl_listener *listener, void *data) {
 		}
 	}
 
-	warp_to_touch(sample);
+	warp_to_touch(sample, event->device);
 }
 
 static void handle_touch_cancel(struct wl_listener *listener, void *data) {
diff --git a/include/wlr/types/wlr_cursor.h b/include/wlr/types/wlr_cursor.h
index ad5c52a4..4ba7b25f 100644
--- a/include/wlr/types/wlr_cursor.h
+++ b/include/wlr/types/wlr_cursor.h
@@ -46,6 +46,9 @@ void wlr_cursor_set_xcursor(struct wlr_cursor *cur, struct wlr_xcursor *xcur);
 bool wlr_cursor_warp(struct wlr_cursor *cur, struct wlr_input_device *dev,
 		double x, double y);
 
+void wlr_cursor_warp_absolute(struct wlr_cursor *cur,
+		struct wlr_input_device *dev, double x_mm, double y_mm);
+
 /**
  * Move the cursor in the direction of the given x and y coordinates.
  *
diff --git a/include/wlr/types/wlr_geometry.h b/include/wlr/types/wlr_geometry.h
index 7ac2f843..cac75431 100644
--- a/include/wlr/types/wlr_geometry.h
+++ b/include/wlr/types/wlr_geometry.h
@@ -15,4 +15,6 @@ bool wlr_geometry_intersection(struct wlr_geometry *geo_a,
 
 bool wlr_geometry_contains_point(struct wlr_geometry *geo, int x, int y);
 
+bool wlr_geometry_empty(struct wlr_geometry *geo);
+
 #endif
diff --git a/include/wlr/types/wlr_output_layout.h b/include/wlr/types/wlr_output_layout.h
index 144c2d5a..0d157f56 100644
--- a/include/wlr/types/wlr_output_layout.h
+++ b/include/wlr/types/wlr_output_layout.h
@@ -4,14 +4,20 @@
 #include <wayland-util.h>
 #include <stdbool.h>
 
+struct wlr_output_layout_state;
+
 struct wlr_output_layout {
     struct wl_list outputs;
+	struct wlr_output_layout_state *state;
 };
 
+struct wlr_output_layout_output_state;
+
 struct wlr_output_layout_output {
     struct wlr_output *output;
     int x, y;
     struct wl_list link;
+	struct wlr_output_layout_output_state *state;
 };
 
 struct wlr_output_layout *wlr_output_layout_init();
@@ -55,4 +61,11 @@ void wlr_output_layout_closest_boundary(struct wlr_output_layout *layout,
 		struct wlr_output *reference, double x, double y, double *dest_x,
 		double *dest_y);
 
+/**
+ * Get the geometry of the layout for the given reference output. If `reference`
+ * is NULL, the geometry will be for the extents of the entire layout.
+ */
+struct wlr_geometry *wlr_output_layout_get_geometry(
+		struct wlr_output_layout *layout, struct wlr_output *reference);
+
 #endif
diff --git a/types/wlr_cursor.c b/types/wlr_cursor.c
index f9e1fcc9..f315727f 100644
--- a/types/wlr_cursor.c
+++ b/types/wlr_cursor.c
@@ -1,6 +1,7 @@
 #include <wlr/types/wlr_cursor.h>
 #include <stdlib.h>
 #include <assert.h>
+#include <limits.h>
 #include <wlr/util/log.h>
 #include <wayland-server.h>
 #include <wlr/types/wlr_output.h>
@@ -95,6 +96,29 @@ static struct wlr_cursor_device *get_cursor_device(struct wlr_cursor *cur,
 	return ret;
 }
 
+static void wlr_cursor_warp_unchecked(struct wlr_cursor *cur, double x, double y) {
+	int hotspot_x = 0;
+	int hotspot_y = 0;
+
+	if (cur->state->xcursor && cur->state->xcursor->image_count > 0) {
+		struct wlr_xcursor_image *image = cur->state->xcursor->images[0];
+		hotspot_x = image->hotspot_x;
+		hotspot_y = image->hotspot_y;
+	}
+
+
+	struct wlr_output_layout_output *l_output;
+	wl_list_for_each(l_output, &cur->state->layout->outputs, link) {
+		double output_x = x;
+		double output_y = y;
+
+		wlr_output_layout_output_coords(cur->state->layout,
+			l_output->output, &output_x, &output_y);
+		wlr_output_move_cursor(l_output->output, output_x - hotspot_x,
+			output_y - hotspot_y);
+	}
+}
+
 bool wlr_cursor_warp(struct wlr_cursor *cur, struct wlr_input_device *dev,
 		double x, double y) {
 	assert(cur->state->layout);
@@ -120,30 +144,61 @@ bool wlr_cursor_warp(struct wlr_cursor *cur, struct wlr_input_device *dev,
 		return false;
 	}
 
-	int hotspot_x = 0;
-	int hotspot_y = 0;
-
-	if (cur->state->xcursor && cur->state->xcursor->image_count > 0) {
-		struct wlr_xcursor_image *image = cur->state->xcursor->images[0];
-		hotspot_x = image->hotspot_x;
-		hotspot_y = image->hotspot_y;
-	}
-
-
-	struct wlr_output_layout_output *l_output;
-	wl_list_for_each(l_output, &cur->state->layout->outputs, link) {
-		double output_x = x;
-		double output_y = y;
-
-		wlr_output_layout_output_coords(cur->state->layout,
-			l_output->output, &output_x, &output_y);
-		wlr_output_move_cursor(l_output->output, output_x - hotspot_x,
-			output_y - hotspot_y);
-	}
-
+	wlr_cursor_warp_unchecked(cur, x, y);
 	return true;
 }
 
+void wlr_cursor_warp_absolute(struct wlr_cursor *cur,
+		struct wlr_input_device *dev, double x_mm, double y_mm) {
+	// convert from absolute to global coordinates
+	assert(cur->state->layout);
+	struct wlr_output *mapped_output = NULL;
+	struct wlr_cursor_device *c_device = get_cursor_device(cur, dev);
+
+	if (c_device && c_device->mapped_output) {
+		mapped_output = c_device->mapped_output;
+	} else {
+		mapped_output = cur->state->mapped_output;
+	}
+
+	struct wlr_geometry *constraints = calloc(1, sizeof(struct wlr_geometry));
+	// XXX how do we express infinite regions?
+	constraints->x = INT_MIN / 2;
+	constraints->y = INT_MIN / 2;
+	constraints->width = INT_MAX;
+	constraints->height = INT_MAX;
+
+	if (cur->state->mapped_geometry) {
+		wlr_geometry_intersection(cur->state->mapped_geometry, constraints,
+			&constraints);
+	}
+	if (c_device->mapped_geometry) {
+		wlr_geometry_intersection(c_device->mapped_geometry, constraints,
+			&constraints);
+	}
+	struct wlr_geometry *geo;
+	if (mapped_output) {
+		geo = wlr_output_layout_get_geometry(cur->state->layout, mapped_output);
+		wlr_geometry_intersection(geo, constraints, &constraints);
+	}
+	geo = wlr_output_layout_get_geometry(cur->state->layout, NULL);
+	wlr_geometry_intersection(geo, constraints, &constraints);
+
+	if (wlr_geometry_empty(constraints)) {
+		goto out;
+	}
+
+	double x = constraints->width * x_mm + constraints->x;
+	double y = constraints->height * y_mm + constraints->y;
+
+	wlr_cursor_warp_unchecked(cur, x, y);
+
+out:
+	if (constraints) {
+		free(constraints);
+	}
+}
+
 void wlr_cursor_move(struct wlr_cursor *cur, struct wlr_input_device *dev,
 		double delta_x, double delta_y) {
 	assert(cur->state->layout);
@@ -195,10 +250,9 @@ void wlr_cursor_move(struct wlr_cursor *cur, struct wlr_input_device *dev,
 		goto out;
 	}
 
-	if (wlr_cursor_warp(cur, dev, x, y)) {
-		cur->x = x;
-		cur->y = y;
-	}
+	wlr_cursor_warp_unchecked(cur, x, y);
+	cur->x = x;
+	cur->y = y;
 
 out:
 	if (constraints) {
diff --git a/types/wlr_geometry.c b/types/wlr_geometry.c
index be4a80eb..32dbb81f 100644
--- a/types/wlr_geometry.c
+++ b/types/wlr_geometry.c
@@ -45,8 +45,8 @@ void wlr_geometry_closest_boundary(struct wlr_geometry *geo, double x, double y,
 #define min(a,b) ((a) < (b) ? (a) : (b))
 #endif
 
-static bool wlr_geometry_empty(struct wlr_geometry *geo) {
-	return geo == NULL || geo->width < 0 || geo->height < 0;
+bool wlr_geometry_empty(struct wlr_geometry *geo) {
+	return geo == NULL || geo->width <= 0 || geo->height <= 0;
 }
 
 bool wlr_geometry_intersection(struct wlr_geometry *geo_a,
@@ -55,20 +55,12 @@ bool wlr_geometry_intersection(struct wlr_geometry *geo_a,
 	bool a_empty = wlr_geometry_empty(geo_a);
 	bool b_empty = wlr_geometry_empty(geo_b);
 
-	if (a_empty && b_empty) {
+	if (a_empty || b_empty) {
+		dest->x = 0;
+		dest->y = 0;
+		dest->width = -100;
+		dest->height = -100;
 		return false;
-	} else if (a_empty) {
-		dest->x = geo_b->x;
-		dest->y = geo_b->y;
-		dest->height = geo_b->height;
-		dest->width = geo_b->width;
-		return true;
-	} else if (b_empty) {
-		dest->x = geo_a->x;
-		dest->y = geo_a->y;
-		dest->height = geo_a->height;
-		dest->width = geo_a->width;
-		return true;
 	}
 
 	int x1 = max(geo_a->x, geo_b->x);
diff --git a/types/wlr_output_layout.c b/types/wlr_output_layout.c
index 7dcb4651..0b5e0411 100644
--- a/types/wlr_output_layout.c
+++ b/types/wlr_output_layout.c
@@ -1,16 +1,35 @@
 #include <wlr/util/log.h>
 #include <wlr/types/wlr_output.h>
 #include <wlr/types/wlr_output_layout.h>
+#include <wlr/types/wlr_geometry.h>
 #include <limits.h>
 #include <stdlib.h>
 #include <assert.h>
 
+struct wlr_output_layout_state {
+	struct wlr_geometry *_geo;
+};
+
+struct wlr_output_layout_output_state {
+	struct wlr_geometry *_geo;
+};
+
 struct wlr_output_layout *wlr_output_layout_init() {
 	struct wlr_output_layout *layout = calloc(1, sizeof(struct wlr_output_layout));
+	layout->state = calloc(1, sizeof(struct wlr_output_layout_state));
+	layout->state->_geo = calloc(1, sizeof(struct wlr_geometry));
 	wl_list_init(&layout->outputs);
 	return layout;
 }
 
+static void wlr_output_layout_output_destroy(
+		struct wlr_output_layout_output *l_output) {
+		wl_list_remove(&l_output->link);
+		free(l_output->state->_geo);
+		free(l_output->state);
+		free(l_output);
+}
+
 void wlr_output_layout_destroy(struct wlr_output_layout *layout) {
 	if (!layout) {
 		return;
@@ -18,20 +37,24 @@ void wlr_output_layout_destroy(struct wlr_output_layout *layout) {
 
 	struct wlr_output_layout_output *_output, *temp = NULL;
 	wl_list_for_each_safe(_output, temp, &layout->outputs, link) {
-		wl_list_remove(&_output->link);
-		free(_output);
+		wlr_output_layout_output_destroy(_output);
 	}
 
+	free(layout->state->_geo);
+	free(layout->state);
 	free(layout);
 }
 
 void wlr_output_layout_add(struct wlr_output_layout *layout,
 		struct wlr_output *output, int x, int y) {
-	struct wlr_output_layout_output *layout_output = calloc(1, sizeof(struct wlr_output_layout_output));
-	layout_output->output = output;
-	layout_output->x = x;
-	layout_output->y = y;
-	wl_list_insert(&layout->outputs, &layout_output->link);
+	struct wlr_output_layout_output *l_output;
+	l_output= calloc(1, sizeof(struct wlr_output_layout_output));
+	l_output->state = calloc(1, sizeof(struct wlr_output_layout_output_state));
+	l_output->state->_geo = calloc(1, sizeof(struct wlr_geometry));
+	l_output->output = output;
+	l_output->x = x;
+	l_output->y = y;
+	wl_list_insert(&layout->outputs, &l_output->link);
 }
 
 struct wlr_output_layout_output *wlr_output_layout_get(
@@ -104,11 +127,10 @@ void wlr_output_layout_move(struct wlr_output_layout *layout,
 
 void wlr_output_layout_remove(struct wlr_output_layout *layout,
 		struct wlr_output *output) {
-	struct wlr_output_layout_output *layout_output =
-			wlr_output_layout_get(layout, output);
-	if (layout_output) {
-		wl_list_remove(&layout_output->link);
-		free(layout_output);
+	struct wlr_output_layout_output *l_output;
+	l_output= wlr_output_layout_get(layout, output);
+	if (l_output) {
+		wlr_output_layout_output_destroy(l_output);
 	}
 }
 
@@ -179,3 +201,46 @@ void wlr_output_layout_closest_boundary(struct wlr_output_layout *layout,
 	*dest_x = min_x;
 	*dest_y = min_y;
 }
+
+struct wlr_geometry *wlr_output_layout_get_geometry(
+		struct wlr_output_layout *layout, struct wlr_output *reference) {
+	struct wlr_output_layout_output *l_output;
+	if (reference) {
+		// output extents
+		l_output= wlr_output_layout_get(layout, reference);
+		l_output->state->_geo->x = l_output->x;
+		l_output->state->_geo->y = l_output->y;
+		wlr_output_effective_resolution(reference,
+			&l_output->state->_geo->width, &l_output->state->_geo->height);
+		return l_output->state->_geo;
+	} else {
+		// layout extents
+		int min_x = INT_MAX, min_y = INT_MAX;
+		int max_x = INT_MIN, max_y = INT_MIN;
+		wl_list_for_each(l_output, &layout->outputs, link) {
+			int width, height;
+			wlr_output_effective_resolution(l_output->output, &width, &height);
+			if (l_output->x < min_x) {
+				min_x = l_output->x;
+			}
+			if (l_output->y < min_y) {
+				min_y = l_output->y;
+			}
+			if (l_output->x + width > max_x) {
+				max_x = l_output->x + width;
+			}
+			if (l_output->y + height > max_y) {
+				max_y = l_output->y + height;
+			}
+		}
+
+		layout->state->_geo->x = min_x;
+		layout->state->_geo->y = min_y;
+		layout->state->_geo->width = max_x - min_x;
+		layout->state->_geo->height = max_y - min_y;
+
+		return layout->state->_geo;
+	}
+
+	// not reached
+}