[gtk/layout-manager-transform-demo] Add another layout manager demo




commit 79c3a5ed89307bd566ebad96728cba7abfc1eae4
Author: Matthias Clasen <mclasen redhat com>
Date:   Thu Aug 27 07:16:38 2020 -0400

    Add another layout manager demo
    
    This demo uses transforms to place icons on a sphere.

 demos/gtk-demo/demo.gresource.xml             |  11 +
 demos/gtk-demo/demo2layout.c                  | 204 +++++++++++++
 demos/gtk-demo/demo2layout.h                  |  16 ++
 demos/gtk-demo/demo2widget.c                  | 172 +++++++++++
 demos/gtk-demo/demo2widget.h                  |  11 +
 demos/gtk-demo/four_point_transform.c         |  90 ++++++
 demos/gtk-demo/four_point_transform.h         |  13 +
 demos/gtk-demo/layoutmanager.c                |   2 +-
 demos/gtk-demo/layoutmanager2.c               | 198 +++++++++++++
 demos/gtk-demo/meson.build                    |   7 +-
 demos/gtk-demo/singular_value_decomposition.c | 396 ++++++++++++++++++++++++++
 demos/gtk-demo/singular_value_decomposition.h |  17 ++
 12 files changed, 1135 insertions(+), 2 deletions(-)
---
diff --git a/demos/gtk-demo/demo.gresource.xml b/demos/gtk-demo/demo.gresource.xml
index d9084a96ae..7c9c657f5e 100644
--- a/demos/gtk-demo/demo.gresource.xml
+++ b/demos/gtk-demo/demo.gresource.xml
@@ -136,6 +136,16 @@
     <file>demochild.h</file>
     <file>demochild.c</file>
   </gresource>
+  <gresource prefix="/layoutmanager2">
+    <file>demo2layout.h</file>
+    <file>demo2layout.c</file>
+    <file>demo2widget.h</file>
+    <file>demo2widget.c</file>
+    <file>four_point_transform.h</file>
+    <file>four_point_transform.c</file>
+    <file>singular_value_decomposition.h</file>
+    <file>singular_value_decomposition.c</file>
+  </gresource>
   <gresource prefix="/listview_filebrowser">
     <file>listview_filebrowser.ui</file>
     <file>listview_filebrowser.css</file>
@@ -219,6 +229,7 @@
     <file>images.c</file>
     <file>infobar.c</file>
     <file>layoutmanager.c</file>
+    <file>layoutmanager2.c</file>
     <file>links.c</file>
     <file>listbox.c</file>
     <file>listbox2.c</file>
diff --git a/demos/gtk-demo/demo2layout.c b/demos/gtk-demo/demo2layout.c
new file mode 100644
index 0000000000..fb0dc5a9f8
--- /dev/null
+++ b/demos/gtk-demo/demo2layout.c
@@ -0,0 +1,204 @@
+#include "demo2layout.h"
+#include "four_point_transform.h"
+
+struct _Demo2Layout
+{
+  GtkLayoutManager parent_instance;
+
+  float position;
+  float offset;
+};
+
+struct _Demo2LayoutClass
+{
+  GtkLayoutManagerClass parent_class;
+};
+
+G_DEFINE_TYPE (Demo2Layout, demo2_layout, GTK_TYPE_LAYOUT_MANAGER)
+
+static void
+demo2_layout_measure (GtkLayoutManager *layout_manager,
+                      GtkWidget        *widget,
+                      GtkOrientation    orientation,
+                      int               for_size,
+                      int              *minimum,
+                      int              *natural,
+                      int              *minimum_baseline,
+                      int              *natural_baseline)
+{
+  GtkWidget *child;
+  int minimum_size = 0;
+  int natural_size = 0;
+
+  for (child = gtk_widget_get_first_child (widget);
+       child != NULL;
+       child = gtk_widget_get_next_sibling (child))
+    {
+      int child_min = 0, child_nat = 0;
+
+      if (!gtk_widget_should_layout (child))
+        continue;
+
+      gtk_widget_measure (child, orientation, -1,
+                          &child_min, &child_nat,
+                          NULL, NULL);
+      minimum_size = MAX (minimum_size, child_min);
+      natural_size = MAX (natural_size, child_nat);
+    }
+
+  *minimum = minimum_size;
+  *natural = 3 * natural_size;
+}
+
+
+#define RADIANS(angle) ((angle)*M_PI/180.0);
+
+/* Spherical coordinates */
+#define SX(r,t,p) ((r) * sin (t) * cos (p))
+#define SZ(r,t,p) ((r) * sin (t) * sin (p))
+#define SY(r,t,p) ((r) * cos (t))
+
+static double
+map_offset (double x)
+{
+  x = fmod (x, 180.0);
+  if (x < 0.0)
+    x += 180.0;
+
+  return x;
+}
+
+static void
+demo2_layout_allocate (GtkLayoutManager *layout_manager,
+                       GtkWidget        *widget,
+                       int               width,
+                       int               height,
+                       int               baseline)
+{
+  GtkWidget *child;
+  GtkRequisition child_req;
+  int i, j, k;
+  float x0, y0;
+  float w, h;
+  graphene_point3d_t p1, p2, p3, p4;
+  graphene_point3d_t q1, q2, q3, q4;
+  double t_1, t_2, p_1, p_2;
+  double r;
+  graphene_matrix_t m;
+  GskTransform *transform;
+  double position = DEMO2_LAYOUT (layout_manager)->position;
+  double offset = DEMO2_LAYOUT (layout_manager)->offset;
+
+  /* for simplicity, assume all children are the same size */
+  gtk_widget_get_preferred_size (gtk_widget_get_first_child (widget), &child_req, NULL);
+  w = child_req.width;
+  h = child_req.height;
+
+  r = 300;
+  x0 = y0 = 300;
+
+  for (child = gtk_widget_get_first_child (widget), i = 0;
+       child != NULL;
+       child = gtk_widget_get_next_sibling (child), i++)
+    {
+      j = i / 36;
+      k = i % 36;
+
+      gtk_widget_set_child_visible (child, FALSE);
+
+      graphene_point3d_init (&p1, 0., 0., 1.);
+      graphene_point3d_init (&p2, w, 0., 1.);
+      graphene_point3d_init (&p3, 0., h, 1.);
+      graphene_point3d_init (&p4, w, h, 1.);
+
+      t_1 = RADIANS (map_offset (offset + 10 * j));
+      t_2 = RADIANS (map_offset (offset + 10 * (j + 1)));
+      p_1 = RADIANS (position + 10 * k);
+      p_2 = RADIANS (position + 10 * (k + 1));
+
+      if (t_2 < t_1)
+        continue;
+
+      if (SZ (r, t_1, p_1) > 0 ||
+          SZ (r, t_2, p_1) > 0 ||
+          SZ (r, t_1, p_2) > 0 ||
+          SZ (r, t_2, p_2) > 0)
+        continue;
+
+      gtk_widget_set_child_visible (child, TRUE);
+
+      graphene_point3d_init (&q1, x0 + SX (r, t_1, p_1), y0 + SY (r, t_1, p_1), SZ (r, t_1, p_1));
+      graphene_point3d_init (&q2, x0 + SX (r, t_2, p_1), y0 + SY (r, t_2, p_1), SZ (r, t_2, p_1));
+      graphene_point3d_init (&q3, x0 + SX (r, t_1, p_2), y0 + SY (r, t_1, p_2), SZ (r, t_1, p_2));
+      graphene_point3d_init (&q4, x0 + SX (r, t_2, p_2), y0 + SY (r, t_2, p_2), SZ (r, t_2, p_2));
+
+      /* Get a matrix that moves p1 -> q1, p2 -> q2, ... */
+      perspective_3d (&p1, &p2, &p3, &p4,
+                      &q1, &q2, &q3, &q4,
+                      &m);
+
+      transform = gsk_transform_matrix (NULL, &m);
+
+      /* Since our matrix was built for transforming points with z = 1,
+       * prepend a translation to the z = 1 plane.
+       */
+      transform = gsk_transform_translate_3d (transform,
+                                              &GRAPHENE_POINT3D_INIT (0, 0, 1));
+
+      gtk_widget_allocate (child, w, h, -1, transform);
+    }
+}
+
+static GtkSizeRequestMode
+demo2_layout_get_request_mode (GtkLayoutManager *layout_manager,
+                               GtkWidget        *widget)
+{
+  return GTK_SIZE_REQUEST_CONSTANT_SIZE;
+}
+
+static void
+demo2_layout_class_init (Demo2LayoutClass *klass)
+{
+  GtkLayoutManagerClass *layout_class = GTK_LAYOUT_MANAGER_CLASS (klass);
+
+  layout_class->get_request_mode = demo2_layout_get_request_mode;
+  layout_class->measure = demo2_layout_measure;
+  layout_class->allocate = demo2_layout_allocate;
+}
+
+static void
+demo2_layout_init (Demo2Layout *self)
+{
+}
+
+GtkLayoutManager *
+demo2_layout_new (void)
+{
+  return g_object_new (DEMO2_TYPE_LAYOUT, NULL);
+}
+
+void
+demo2_layout_set_position (Demo2Layout *layout,
+                           float        position)
+{
+  layout->position = position;
+}
+
+float
+demo2_layout_get_position (Demo2Layout *layout)
+{
+  return layout->position;
+}
+
+void
+demo2_layout_set_offset (Demo2Layout *layout,
+                         float        offset)
+{
+  layout->offset = offset;
+}
+
+float
+demo2_layout_get_offset (Demo2Layout *layout)
+{
+  return layout->offset;
+}
diff --git a/demos/gtk-demo/demo2layout.h b/demos/gtk-demo/demo2layout.h
new file mode 100644
index 0000000000..4bb84ab241
--- /dev/null
+++ b/demos/gtk-demo/demo2layout.h
@@ -0,0 +1,16 @@
+#pragma once
+
+#include <gtk/gtk.h>
+
+#define DEMO2_TYPE_LAYOUT (demo2_layout_get_type ())
+
+G_DECLARE_FINAL_TYPE (Demo2Layout, demo2_layout, DEMO2, LAYOUT, GtkLayoutManager)
+
+GtkLayoutManager * demo2_layout_new          (void);
+
+void               demo2_layout_set_position (Demo2Layout *layout,
+                                              float        position);
+float              demo2_layout_get_position (Demo2Layout *layout);
+void               demo2_layout_set_offset   (Demo2Layout *layout,
+                                              float        offset);
+float              demo2_layout_get_offset   (Demo2Layout *layout);
diff --git a/demos/gtk-demo/demo2widget.c b/demos/gtk-demo/demo2widget.c
new file mode 100644
index 0000000000..4b1aebadb5
--- /dev/null
+++ b/demos/gtk-demo/demo2widget.c
@@ -0,0 +1,172 @@
+#include "demo2widget.h"
+#include "demo2layout.h"
+
+struct _Demo2Widget
+{
+  GtkWidget parent_instance;
+
+  gint64 start_time;
+  gint64 end_time;
+  float start_position;
+  float end_position;
+  float start_offset;
+  float end_offset;
+  gboolean animating;
+};
+
+struct _Demo2WidgetClass
+{
+  GtkWidgetClass parent_class;
+};
+
+G_DEFINE_TYPE (Demo2Widget, demo2_widget, GTK_TYPE_WIDGET)
+
+static void
+demo2_widget_init (Demo2Widget *self)
+{
+  gtk_widget_set_focusable (GTK_WIDGET (self), TRUE);
+}
+
+static void
+demo2_widget_dispose (GObject *object)
+{
+  GtkWidget *child;
+
+  while ((child = gtk_widget_get_first_child (GTK_WIDGET (object))))
+    gtk_widget_unparent (child);
+
+  G_OBJECT_CLASS (demo2_widget_parent_class)->dispose (object);
+}
+
+/* From clutter-easing.c, based on Robert Penner's
+ * infamous easing equations, MIT license.
+ */
+static double
+ease_out_cubic (double t)
+{
+  double p = t - 1;
+
+  return p * p * p + 1;
+}
+
+static gboolean
+update_position (GtkWidget     *widget,
+                 GdkFrameClock *clock,
+                 gpointer       data)
+{
+  Demo2Widget *self = DEMO2_WIDGET (widget);
+  Demo2Layout *layout = DEMO2_LAYOUT (gtk_widget_get_layout_manager (widget));
+  gint64 now;
+  double t;
+
+  now = gdk_frame_clock_get_frame_time (clock);
+
+  if (now >= self->end_time)
+    {
+      self->animating = FALSE;
+
+      return G_SOURCE_REMOVE;
+    }
+
+  t = (now - self->start_time) / (double) (self->end_time - self->start_time);
+
+  t = ease_out_cubic (t);
+
+  demo2_layout_set_position (layout, self->start_position + t * (self->end_position - self->start_position));
+  demo2_layout_set_offset (layout, self->start_offset + t * (self->end_offset - self->start_offset));
+  gtk_widget_queue_allocate (widget);
+
+  return G_SOURCE_CONTINUE;
+}
+
+static void
+rotate_sphere (GtkWidget  *widget,
+               const char *action,
+               GVariant   *parameters)
+{
+  Demo2Widget *self = DEMO2_WIDGET (widget);
+  Demo2Layout *layout = DEMO2_LAYOUT (gtk_widget_get_layout_manager (widget));
+  GtkOrientation orientation;
+  int direction;
+
+  g_variant_get (parameters, "(ii)", &orientation, &direction);
+
+  self->end_position = self->start_position = demo2_layout_get_position (layout);
+  self->end_offset = self->start_offset = demo2_layout_get_offset (layout);
+  if (orientation == GTK_ORIENTATION_HORIZONTAL)
+    self->end_position += 10 * direction;
+  else
+    self->end_offset += 10 * direction;
+  self->start_time = g_get_monotonic_time ();
+  self->end_time = self->start_time + 0.5 * G_TIME_SPAN_SECOND;
+
+  if (!self->animating)
+    {
+      gtk_widget_add_tick_callback (widget, update_position, NULL, NULL);
+      self->animating = TRUE;
+    }
+}
+
+static void
+demo2_widget_snapshot (GtkWidget   *widget,
+                       GtkSnapshot *snapshot)
+{
+  GtkWidget *child;
+
+  for (child = gtk_widget_get_first_child (widget);
+       child != NULL;
+       child = gtk_widget_get_next_sibling (child))
+    {
+      /* our layout manager sets this for children that are out of view */
+      if (!gtk_widget_get_child_visible (child))
+        continue;
+
+      gtk_widget_snapshot_child (widget, child, snapshot);
+    }
+}
+
+static void
+demo2_widget_class_init (Demo2WidgetClass *class)
+{
+  GObjectClass *object_class = G_OBJECT_CLASS (class);
+  GtkWidgetClass *widget_class = GTK_WIDGET_CLASS (class);
+
+  object_class->dispose = demo2_widget_dispose;
+
+  widget_class->snapshot = demo2_widget_snapshot;
+
+  gtk_widget_class_install_action (widget_class, "rotate", "(ii)", rotate_sphere);
+
+  gtk_widget_class_add_binding_action (widget_class,
+                                       GDK_KEY_Left, 0,
+                                       "rotate",
+                                       "(ii)", GTK_ORIENTATION_HORIZONTAL, -1);
+  gtk_widget_class_add_binding_action (widget_class,
+                                       GDK_KEY_Right, 0,
+                                       "rotate",
+                                       "(ii)", GTK_ORIENTATION_HORIZONTAL, 1);
+  gtk_widget_class_add_binding_action (widget_class,
+                                       GDK_KEY_Up, 0,
+                                       "rotate",
+                                       "(ii)", GTK_ORIENTATION_VERTICAL, 1);
+  gtk_widget_class_add_binding_action (widget_class,
+                                       GDK_KEY_Down, 0,
+                                       "rotate",
+                                       "(ii)", GTK_ORIENTATION_VERTICAL, -1);
+
+  /* here is where we use our custom layout manager */
+  gtk_widget_class_set_layout_manager_type (widget_class, DEMO2_TYPE_LAYOUT);
+}
+
+GtkWidget *
+demo2_widget_new (void)
+{
+  return g_object_new (DEMO2_TYPE_WIDGET, NULL);
+}
+
+void
+demo2_widget_add_child (Demo2Widget *self,
+                        GtkWidget   *child)
+{
+  gtk_widget_set_parent (child, GTK_WIDGET (self));
+}
diff --git a/demos/gtk-demo/demo2widget.h b/demos/gtk-demo/demo2widget.h
new file mode 100644
index 0000000000..54529f95c1
--- /dev/null
+++ b/demos/gtk-demo/demo2widget.h
@@ -0,0 +1,11 @@
+#pragma once
+
+#include <gtk/gtk.h>
+
+#define DEMO2_TYPE_WIDGET (demo2_widget_get_type ())
+G_DECLARE_FINAL_TYPE (Demo2Widget, demo2_widget, DEMO2, WIDGET, GtkWidget)
+
+GtkWidget * demo2_widget_new       (void);
+
+void        demo2_widget_add_child (Demo2Widget *self,
+                                    GtkWidget  *child);
diff --git a/demos/gtk-demo/four_point_transform.c b/demos/gtk-demo/four_point_transform.c
new file mode 100644
index 0000000000..9df10ef163
--- /dev/null
+++ b/demos/gtk-demo/four_point_transform.c
@@ -0,0 +1,90 @@
+#include "four_point_transform.h"
+#include "singular_value_decomposition.h"
+
+/* Make a 4x4 matrix that maps
+ * e1        -> p1
+ * e2        -> p3
+ * e3        -> p3
+ * (1,1,1,0) -> p4
+ */
+static void
+unit_to (graphene_point3d_t *p1,
+         graphene_point3d_t *p2,
+         graphene_point3d_t *p3,
+         graphene_point3d_t *p4,
+         graphene_matrix_t  *m)
+{
+  graphene_vec3_t v1, v2, v3, v4;
+  graphene_vec4_t vv1, vv2, vv3, vv4, p;
+  graphene_matrix_t u, s;
+  float v[16] = { 0., };
+  double A[16];
+  double U[16];
+  double S[4];
+  double V[16];
+  double B[4];
+  double x[4];
+  int i, j;
+
+  graphene_point3d_to_vec3 (p1, &v1);
+  graphene_point3d_to_vec3 (p2, &v2);
+  graphene_point3d_to_vec3 (p3, &v3);
+  graphene_point3d_to_vec3 (p4, &v4);
+
+  graphene_vec4_init_from_vec3 (&vv1, &v1, 1.);
+  graphene_vec4_init_from_vec3 (&vv2, &v2, 1.);
+  graphene_vec4_init_from_vec3 (&vv3, &v3, 1.);
+  graphene_vec4_init_from_vec3 (&vv4, &v4, 1.);
+
+  graphene_vec4_init (&p, 0., 0., 0., 1.);
+
+  graphene_matrix_init_from_vec4 (&u, &vv1, &vv2, &vv3, &p);
+
+  /* solve x * u = vv4 */
+
+  for (i = 0; i < 4; i++)
+    for (j = 0; j < 4; j++)
+      A[j * 4 + i] = graphene_matrix_get_value (&u, i, j);
+
+  B[0] = graphene_vec4_get_x (&vv4);
+  B[1] = graphene_vec4_get_y (&vv4);
+  B[2] = graphene_vec4_get_z (&vv4);
+  B[3] = graphene_vec4_get_w (&vv4);
+
+  singular_value_decomposition (A, 4, 4, U, S, V);
+  singular_value_decomposition_solve (U, S, V, 4, 4, B, x);
+
+  v[ 0] = x[0];
+  v[ 5] = x[1];
+  v[10] = x[2];
+  v[15] = 1;
+
+  graphene_matrix_init_from_float (&s, (const float *)&v);
+  graphene_matrix_multiply (&s, &u, m);
+}
+
+/* Make a 4x4 matrix that maps
+ * p1 -> q1
+ * p2 -> q2
+ * p3 -> q3
+ * p4 -> q4
+ */
+void
+perspective_3d (graphene_point3d_t *p1,
+                graphene_point3d_t *p2,
+                graphene_point3d_t *p3,
+                graphene_point3d_t *p4,
+                graphene_point3d_t *q1,
+                graphene_point3d_t *q2,
+                graphene_point3d_t *q3,
+                graphene_point3d_t *q4,
+                graphene_matrix_t  *m)
+{
+  graphene_matrix_t a, a_inv, b;
+
+  unit_to (p1, p2, p3, p4, &a);
+  unit_to (q1, q2, q3, q4, &b);
+
+  graphene_matrix_inverse (&a, &a_inv);
+  graphene_matrix_multiply (&a_inv, &b, m);
+}
diff --git a/demos/gtk-demo/four_point_transform.h b/demos/gtk-demo/four_point_transform.h
new file mode 100644
index 0000000000..44b73c21b5
--- /dev/null
+++ b/demos/gtk-demo/four_point_transform.h
@@ -0,0 +1,13 @@
+#pragma once
+
+#include <graphene.h>
+
+void perspective_3d (graphene_point3d_t *p1,
+                     graphene_point3d_t *p2,
+                     graphene_point3d_t *p3,
+                     graphene_point3d_t *p4,
+                     graphene_point3d_t *q1,
+                     graphene_point3d_t *q2,
+                     graphene_point3d_t *q3,
+                     graphene_point3d_t *q4,
+                     graphene_matrix_t  *m);
diff --git a/demos/gtk-demo/layoutmanager.c b/demos/gtk-demo/layoutmanager.c
index e01d7c981e..b07c453798 100644
--- a/demos/gtk-demo/layoutmanager.c
+++ b/demos/gtk-demo/layoutmanager.c
@@ -1,4 +1,4 @@
-/* Layout Manager
+/* Layout Manager/Transition
  *
  * This demo shows a simple example of a custom layout manager
  * and a widget using it. The layout manager places the children
diff --git a/demos/gtk-demo/layoutmanager2.c b/demos/gtk-demo/layoutmanager2.c
new file mode 100644
index 0000000000..c6bccdcc0a
--- /dev/null
+++ b/demos/gtk-demo/layoutmanager2.c
@@ -0,0 +1,198 @@
+/* Layout Manager/Transformation
+ *
+ * This demo shows how to use transforms in a nontrivial
+ * way with a custom layout manager. The layout manager places
+ * icons on a sphere that can be rotated using arrow keys.
+ */
+
+#include <gtk/gtk.h>
+
+#include "demo2widget.h"
+#include "demo2layout.h"
+#include "demochild.h"
+
+GtkWidget *
+do_layoutmanager2 (GtkWidget *parent)
+{
+  static GtkWidget *window = NULL;
+
+  if (!window)
+    {
+      GtkWidget *widget;
+      GtkWidget *child;
+      const char *name[] = {
+        "action-unavailable-symbolic",
+        "address-book-new-symbolic",
+        "application-exit-symbolic",
+        "appointment-new-symbolic",
+        "bookmark-new-symbolic",
+        "call-start-symbolic",
+        "call-stop-symbolic",
+        "camera-switch-symbolic",
+        "chat-message-new-symbolic",
+        "color-select-symbolic",
+        "contact-new-symbolic",
+        "document-edit-symbolic",
+        "document-new-symbolic",
+        "document-open-recent-symbolic",
+        "document-open-symbolic",
+        "document-page-setup-symbolic",
+        "document-print-preview-symbolic",
+        "document-print-symbolic",
+        "document-properties-symbolic",
+        "document-revert-symbolic-rtl",
+        "document-revert-symbolic",
+        "document-save-as-symbolic",
+        "document-save-symbolic",
+        "document-send-symbolic",
+        "edit-clear-all-symbolic",
+        "edit-clear-symbolic-rtl",
+        "edit-clear-symbolic",
+        "edit-copy-symbolic",
+        "edit-cut-symbolic",
+        "edit-delete-symbolic",
+        "edit-find-replace-symbolic",
+        "edit-find-symbolic",
+        "edit-paste-symbolic",
+        "edit-redo-symbolic-rtl",
+        "edit-redo-symbolic",
+        "edit-select-all-symbolic",
+        "edit-select-symbolic",
+        "edit-undo-symbolic-rtl",
+        "edit-undo-symbolic",
+        "error-correct-symbolic",
+        "find-location-symbolic",
+        "folder-new-symbolic",
+        "font-select-symbolic",
+        "format-indent-less-symbolic-rtl",
+        "format-indent-less-symbolic",
+        "format-indent-more-symbolic-rtl",
+        "format-indent-more-symbolic",
+        "format-justify-center-symbolic",
+        "format-justify-fill-symbolic",
+        "format-justify-left-symbolic",
+        "format-justify-right-symbolic",
+        "format-text-bold-symbolic",
+        "format-text-direction-symbolic-rtl",
+        "format-text-direction-symbolic",
+        "format-text-italic-symbolic",
+        "format-text-strikethrough-symbolic",
+        "format-text-underline-symbolic",
+        "go-bottom-symbolic",
+        "go-down-symbolic",
+        "go-first-symbolic-rtl",
+        "go-first-symbolic",
+        "go-home-symbolic",
+        "go-jump-symbolic-rtl",
+        "go-jump-symbolic",
+        "go-last-symbolic-rtl",
+        "go-last-symbolic",
+        "go-next-symbolic-rtl",
+        "go-next-symbolic",
+        "go-previous-symbolic-rtl",
+        "go-previous-symbolic",
+        "go-top-symbolic",
+        "go-up-symbolic",
+        "help-about-symbolic",
+        "insert-image-symbolic",
+        "insert-link-symbolic",
+        "insert-object-symbolic",
+        "insert-text-symbolic",
+        "list-add-symbolic",
+        "list-remove-all-symbolic",
+        "list-remove-symbolic",
+        "mail-forward-symbolic",
+        "mail-mark-important-symbolic",
+        "mail-mark-junk-symbolic",
+        "mail-mark-notjunk-symbolic",
+        "mail-message-new-symbolic",
+        "mail-reply-all-symbolic",
+        "mail-reply-sender-symbolic",
+        "mail-send-receive-symbolic",
+        "mail-send-symbolic",
+        "mark-location-symbolic",
+        "media-eject-symbolic",
+        "media-playback-pause-symbolic",
+        "media-playback-start-symbolic",
+        "media-playback-stop-symbolic",
+        "media-record-symbolic"
+        "media-seek-backward-symbolic",
+        "media-seek-forward-symbolic",
+        "media-skip-backward-symbolic",
+        "media-skip-forward-symbolic",
+        "media-view-subtitles-symbolic",
+        "object-flip-horizontal-symbolic",
+        "object-flip-vertical-symbolic",
+        "object-rotate-left-symbolic",
+        "object-rotate-right-symbolic",
+        "object-select-symbolic",
+        "open-menu-symbolic",
+        "process-stop-symbolic",
+        "send-to-symbolic",
+        "sidebar-hide-symbolic",
+        "sidebar-show-symbolic",
+        "star-new-symbolic",
+        "system-log-out-symbolic",
+        "system-reboot-symbolic",
+        "system-run-symbolic",
+        "system-search-symbolic",
+        "system-shutdown-symbolic",
+        "system-switch-user-symbolic",
+        "tab-new-symbolic",
+        "tools-check-spelling-symbolic",
+        "value-decrease-symbolic",
+        "value-increase-symbolic",
+        "view-app-grid-symbolic",
+        "view-conceal-symbolic",
+        "view-continuous-symbolic",
+        "view-dual-symbolic",
+        "view-fullscreen-symbolic",
+        "view-grid-symbolic",
+        "view-list-bullet-symbolic",
+        "view-list-ordered-symbolic",
+        "view-list-symbolic",
+        "view-mirror-symbolic",
+        "view-more-horizontal-symbolic",
+        "view-more-symbolic",
+        "view-paged-symbolic",
+        "view-pin-symbolic",
+        "view-refresh-symbolic",
+        "view-restore-symbolic",
+        "view-reveal-symbolic",
+        "view-sort-ascending-symbolic",
+        "view-sort-descending-symbolic",
+        "zoom-fit-best-symbolic",
+        "zoom-in-symbolic",
+        "zoom-original-symbolic",
+        "zoom-out-symbolic",
+      };
+      int i;
+
+      window = gtk_window_new ();
+      gtk_window_set_title (GTK_WINDOW (window), "Layout Manager—Transformation");
+      gtk_window_set_default_size (GTK_WINDOW (window), 600, 620);
+      g_object_add_weak_pointer (G_OBJECT (window), (gpointer *)&window);
+
+      widget = demo2_widget_new ();
+
+      for (i = 0; i < 18 * 36; i++)
+        {
+          child = gtk_image_new_from_icon_name (name[i % G_N_ELEMENTS (name)]);
+          gtk_widget_set_margin_start (child, 4);
+          gtk_widget_set_margin_end (child, 4);
+          gtk_widget_set_margin_top (child, 4);
+          gtk_widget_set_margin_bottom (child, 4);
+          demo2_widget_add_child (DEMO2_WIDGET (widget), child);
+        }
+
+      gtk_window_set_child (GTK_WINDOW (window), widget);
+    }
+
+  if (!gtk_widget_get_visible (window))
+    gtk_widget_show (window);
+  else
+    gtk_window_destroy (GTK_WINDOW (window));
+
+  return window;
+
+}
diff --git a/demos/gtk-demo/meson.build b/demos/gtk-demo/meson.build
index 2ef7a443aa..05b32c6f46 100644
--- a/demos/gtk-demo/meson.build
+++ b/demos/gtk-demo/meson.build
@@ -39,6 +39,7 @@ demos = files([
   'images.c',
   'infobar.c',
   'layoutmanager.c',
+  'layoutmanager2.c',
   'links.c',
   'listbox.c',
   'listbox2.c',
@@ -103,7 +104,11 @@ extra_demo_sources = files(['main.c',
                             'demotaggedentry.c',
                             'demochild.c',
                             'demolayout.c',
-                            'demowidget.c'])
+                            'demowidget.c',
+                            'demo2layout.c',
+                            'singular_value_decomposition.c',
+                            'four_point_transform.c',
+                            'demo2widget.c'])
 
 if harfbuzz_dep.found() and pangoft_dep.found()
   demos += files('font_features.c')
diff --git a/demos/gtk-demo/singular_value_decomposition.c b/demos/gtk-demo/singular_value_decomposition.c
new file mode 100644
index 0000000000..05d04d0667
--- /dev/null
+++ b/demos/gtk-demo/singular_value_decomposition.c
@@ -0,0 +1,396 @@
+#include <string.h>
+#include <float.h>
+#include <math.h>
+#include <glib.h>
+
+/* See Golub and Reinsch,
+ * "Handbook for Automatic Computation vol II - Linear Algebra",
+ * Springer, 1971
+ */
+
+
+#define MAX_ITERATION_COUNT 30
+
+static void
+householder_reduction (double *A,
+                       int     nrows,
+                       int     ncols,
+                       double *U,
+                       double *V,
+                       double *diagonal,
+                       double *superdiagonal)
+{
+  int i, j, k, ip1;
+  double s, s2, si, scale;
+  double *pu, *pui, *pv, *pvi;
+  double half_norm_squared;
+
+  memcpy (U, A, sizeof (double) * nrows * ncols);
+
+  diagonal[0] = 0.0;
+  s = 0.0;
+  scale = 0.0;
+  for (i = 0, pui = U, ip1 = 1;
+       i < ncols;
+       pui += ncols, i++, ip1++)
+    {
+      superdiagonal[i] = scale * s;
+
+      for (j = i, pu = pui, scale = 0.0;
+           j < nrows;
+           j++, pu += ncols)
+        scale += fabs( *(pu + i) );
+
+      if (scale > 0.0)
+        {
+          for (j = i, pu = pui, s2 = 0.0; j < nrows; j++, pu += ncols)
+            {
+              *(pu + i) /= scale;
+              s2 += *(pu + i) * *(pu + i);
+            }
+          s = *(pui + i) < 0.0 ? sqrt (s2) : -sqrt (s2);
+          half_norm_squared = *(pui + i) * s - s2;
+          *(pui + i) -= s;
+
+          for (j = ip1; j < ncols; j++)
+            {
+              for (k = i, si = 0.0, pu = pui; k < nrows; k++, pu += ncols)
+                si += *(pu + i) * *(pu + j);
+              si /= half_norm_squared;
+              for (k = i, pu = pui; k < nrows; k++, pu += ncols)
+                *(pu + j) += si * *(pu + i);
+            }
+        }
+      for (j = i, pu = pui; j < nrows; j++, pu += ncols)
+        *(pu + i) *= scale;
+      diagonal[i] = s * scale;
+      s = 0.0;
+      scale = 0.0;
+      if (i >= nrows || i == ncols - 1)
+        continue;
+      for (j = ip1; j < ncols; j++)
+        scale += fabs (*(pui + j));
+      if (scale > 0.0)
+        {
+          for (j = ip1, s2 = 0.0; j < ncols; j++)
+            {
+              *(pui + j) /= scale;
+              s2 += *(pui + j) * *(pui + j);
+            }
+          s = *(pui + ip1) < 0.0 ? sqrt (s2) : -sqrt (s2);
+          half_norm_squared = *(pui + ip1) * s - s2;
+          *(pui + ip1) -= s;
+          for (k = ip1; k < ncols; k++)
+            superdiagonal[k] = *(pui + k) / half_norm_squared;
+          if (i < (nrows - 1))
+            {
+              for (j = ip1, pu = pui + ncols; j < nrows; j++, pu += ncols)
+                {
+                  for (k = ip1, si = 0.0; k < ncols; k++)
+                    si += *(pui + k) * *(pu + k);
+                  for (k = ip1; k < ncols; k++)
+                    *(pu + k) += si * superdiagonal[k];
+                }
+            }
+          for (k = ip1; k < ncols; k++)
+            *(pui + k) *= scale;
+        }
+    }
+
+  pui = U + ncols * (ncols - 2);
+  pvi = V + ncols * (ncols - 1);
+  *(pvi + ncols - 1) = 1.0;
+  s = superdiagonal[ncols - 1];
+  pvi -= ncols;
+  for (i = ncols - 2, ip1 = ncols - 1;
+       i >= 0;
+       i--, pui -= ncols, pvi -= ncols, ip1--)
+    {
+      if (s != 0.0)
+        {
+          pv = pvi + ncols;
+          for (j = ip1; j < ncols; j++, pv += ncols)
+            *(pv + i) = ( *(pui + j) / *(pui + ip1) ) / s;
+          for (j = ip1; j < ncols; j++)
+            {
+              si = 0.0;
+              for (k = ip1, pv = pvi + ncols; k < ncols; k++, pv += ncols)
+                si += *(pui + k) * *(pv + j);
+              for (k = ip1, pv = pvi + ncols; k < ncols; k++, pv += ncols)
+                *(pv + j) += si * *(pv + i);
+            }
+        }
+      pv = pvi + ncols;
+      for (j = ip1; j < ncols; j++, pv += ncols)
+        {
+          *(pvi + j) = 0.0;
+          *(pv + i) = 0.0;
+        }
+      *(pvi + i) = 1.0;
+      s = superdiagonal[i];
+    }
+
+  pui = U + ncols * (ncols - 1);
+  for (i = ncols - 1, ip1 = ncols;
+       i >= 0;
+       ip1 = i, i--, pui -= ncols)
+    {
+      s = diagonal[i];
+      for (j = ip1; j < ncols; j++)
+        *(pui + j) = 0.0;
+      if (s != 0.0)
+        {
+          for (j = ip1; j < ncols; j++)
+            {
+              si = 0.0;
+              pu = pui + ncols;
+              for (k = ip1; k < nrows; k++, pu += ncols)
+                si += *(pu + i) * *(pu + j);
+              si = (si / *(pui + i)) / s;
+              for (k = i, pu = pui; k < nrows; k++, pu += ncols)
+                *(pu + j) += si * *(pu + i);
+            }
+          for (j = i, pu = pui; j < nrows; j++, pu += ncols)
+            *(pu + i) /= s;
+        }
+      else
+        for (j = i, pu = pui; j < nrows; j++, pu += ncols)
+          *(pu + i) = 0.0;
+      *(pui + i) += 1.0;
+    }
+}
+
+static int
+givens_reduction (int nrows,
+                  int ncols,
+                  double *U,
+                  double *V,
+                  double *diagonal,
+                  double *superdiagonal)
+{
+  double epsilon;
+  double c, s;
+  double f,g,h;
+  double x,y,z;
+  double *pu, *pv;
+  int i,j,k,m;
+  int rotation_test;
+  int iteration_count;
+
+  for (i = 0, x = 0.0; i < ncols; i++)
+    {
+      y = fabs (diagonal[i]) + fabs (superdiagonal[i]);
+      if (x < y)
+        x = y;
+    }
+  epsilon = x * DBL_EPSILON;
+  for (k = ncols - 1; k >= 0; k--)
+    {
+      iteration_count = 0;
+      while (1)
+        {
+          rotation_test = 1;
+          for (m = k; m >= 0; m--)
+            {
+              if (fabs (superdiagonal[m]) <= epsilon)
+                {
+                  rotation_test = 0;
+                  break;
+                }
+              if (fabs (diagonal[m-1]) <= epsilon)
+                break;
+            }
+          if (rotation_test)
+            {
+              c = 0.0;
+              s = 1.0;
+              for (i = m; i <= k; i++)
+                {
+                  f = s * superdiagonal[i];
+                  superdiagonal[i] *= c;
+                  if (fabs (f) <= epsilon)
+                    break;
+                  g = diagonal[i];
+                  h = sqrt (f*f + g*g);
+                  diagonal[i] = h;
+                  c = g / h;
+                  s = -f / h;
+                  for (j = 0, pu = U; j < nrows; j++, pu += ncols)
+                    {
+                      y = *(pu + m - 1);
+                      z = *(pu + i);
+                      *(pu + m - 1 ) = y * c + z * s;
+                      *(pu + i) = -y * s + z * c;
+                    }
+                }
+            }
+          z = diagonal[k];
+          if (m == k)
+            {
+              if (z < 0.0)
+                {
+                  diagonal[k] = -z;
+                  for (j = 0, pv = V; j < ncols; j++, pv += ncols)
+                    *(pv + k) = - *(pv + k);
+                }
+              break;
+            }
+          else
+            {
+              if (iteration_count >= MAX_ITERATION_COUNT)
+                return -1;
+              iteration_count++;
+              x = diagonal[m];
+              y = diagonal[k-1];
+              g = superdiagonal[k-1];
+              h = superdiagonal[k];
+              f = ((y - z) * ( y + z ) + (g - h) * (g + h))/(2.0 * h * y);
+              g = sqrt (f * f + 1.0);
+              if (f < 0.0)
+                g = -g;
+              f = ((x - z) * (x + z) + h * (y / (f + g) - h)) / x;
+              c = 1.0;
+              s = 1.0;
+              for (i = m + 1; i <= k; i++)
+                {
+                  g = superdiagonal[i];
+                  y = diagonal[i];
+                  h = s * g;
+                  g *= c;
+                  z = sqrt (f * f + h * h);
+                  superdiagonal[i-1] = z;
+                  c = f / z;
+                  s = h / z;
+                  f =  x * c + g * s;
+                  g = -x * s + g * c;
+                  h = y * s;
+                  y *= c;
+                  for (j = 0, pv = V; j < ncols; j++, pv += ncols)
+                    {
+                      x = *(pv + i - 1);
+                      z = *(pv + i);
+                      *(pv + i - 1) = x * c + z * s;
+                      *(pv + i) = -x * s + z * c;
+                    }
+                  z = sqrt (f * f + h * h);
+                  diagonal[i - 1] = z;
+                  if (z != 0.0)
+                    {
+                      c = f / z;
+                      s = h / z;
+                    }
+                  f = c * g + s * y;
+                  x = -s * g + c * y;
+                  for (j = 0, pu = U; j < nrows; j++, pu += ncols)
+                    {
+                      y = *(pu + i - 1);
+                      z = *(pu + i);
+                      *(pu + i - 1) = c * y + s * z;
+                      *(pu + i) = -s * y + c * z;
+                    }
+                }
+              superdiagonal[m] = 0.0;
+              superdiagonal[k] = f;
+              diagonal[k] = x;
+            }
+        }
+    }
+  return 0;
+}
+
+static void
+sort_singular_values (int     nrows,
+                      int     ncols,
+                      double *S,
+                      double *U,
+                      double *V)
+{
+  int i, j, max_index;
+  double temp;
+  double *p1, *p2;
+
+  for (i = 0; i < ncols - 1; i++)
+    {
+      max_index = i;
+      for (j = i + 1; j < ncols; j++)
+        if (S[j] > S[max_index])
+          max_index = j;
+      if (max_index == i)
+        continue;
+      temp = S[i];
+      S[i] = S[max_index];
+      S[max_index] = temp;
+      p1 = U + max_index;
+      p2 = U + i;
+      for (j = 0; j < nrows; j++, p1 += ncols, p2 += ncols)
+        {
+          temp = *p1;
+          *p1 = *p2;
+          *p2 = temp;
+        }
+      p1 = V + max_index;
+      p2 = V + i;
+      for (j = 0; j < ncols; j++, p1 += ncols, p2 += ncols)
+        {
+          temp = *p1;
+          *p1 = *p2;
+          *p2 = temp;
+        }
+    }
+}
+
+int
+singular_value_decomposition (double *A,
+                              int     nrows,
+                              int     ncols,
+                              double *U,
+                              double *S,
+                              double *V)
+{
+  double *superdiagonal;
+
+  superdiagonal = g_alloca (sizeof (double) * ncols);
+
+  if (nrows < ncols)
+    return -1;
+
+  householder_reduction (A, nrows, ncols, U, V, S, superdiagonal);
+
+  if (givens_reduction (nrows, ncols, U, V, S, superdiagonal) < 0)
+    return -1;
+
+  sort_singular_values (nrows, ncols, S, U, V);
+
+  return 0;
+}
+
+void
+singular_value_decomposition_solve (double *U,
+                                    double *S,
+                                    double *V,
+                                    int     nrows,
+                                    int     ncols,
+                                    double *B,
+                                    double *x)
+{
+  int i, j, k;
+  double *pu, *pv;
+  double d;
+  double tolerance;
+
+  tolerance = DBL_EPSILON * S[0] * (double) ncols;
+
+  for ( i = 0, pv = V; i < ncols; i++, pv += ncols)
+    {
+      x[i] = 0.0;
+      for (j = 0; j < ncols; j++)
+        {
+          if (S[j] > tolerance)
+            {
+              for (k = 0, d = 0.0, pu = U; k < nrows; k++, pu += ncols)
+                d += *(pu + j) * B[k];
+              x[i] += d * *(pv + j) / S[j];
+            }
+        }
+    }
+}
diff --git a/demos/gtk-demo/singular_value_decomposition.h b/demos/gtk-demo/singular_value_decomposition.h
new file mode 100644
index 0000000000..9b4c65a2a6
--- /dev/null
+++ b/demos/gtk-demo/singular_value_decomposition.h
@@ -0,0 +1,17 @@
+#pragma once
+
+int singular_value_decomposition (double *A,
+                                  int     nrows,
+                                  int     ncols,
+                                  double *U,
+                                  double *S,
+                                  double *V);
+
+void singular_value_decomposition_solve (double *U,
+                                         double *S,
+                                         double *V,
+                                         int     nrows,
+                                         int     ncols,
+                                         double *B,
+                                         double *x);
+



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