[gtk/wip/otte/lottie: 19/82] pathmeasure: Implement support for beziers
- From: Benjamin Otte <otte src gnome org>
- To: commits-list gnome org
- Cc:
- Subject: [gtk/wip/otte/lottie: 19/82] pathmeasure: Implement support for beziers
- Date: Sun, 27 Dec 2020 00:16:02 +0000 (UTC)
commit b0d6130905913225ee4ed86b526e0667b2c819ec
Author: Benjamin Otte <otte redhat com>
Date: Tue Nov 17 19:04:21 2020 +0100
pathmeasure: Implement support for beziers
Instead of treating bezier curves as lines, we properly decompose them
into line segments now so that we can treat those as lines.
docs/reference/gsk/gsk4-sections.txt | 1 +
gsk/gskpath.c | 279 ++++++++++++++++++++++++++---------
gsk/gskpathmeasure.c | 23 ++-
gsk/gskpathmeasure.h | 3 +
gsk/gskpathprivate.h | 1 +
gsk/gskspline.c | 179 ++++++++++++++++++++++
gsk/gsksplineprivate.h | 46 ++++++
gsk/meson.build | 1 +
8 files changed, 462 insertions(+), 71 deletions(-)
---
diff --git a/docs/reference/gsk/gsk4-sections.txt b/docs/reference/gsk/gsk4-sections.txt
index cf5af86e3b..ee8a0c3184 100644
--- a/docs/reference/gsk/gsk4-sections.txt
+++ b/docs/reference/gsk/gsk4-sections.txt
@@ -363,6 +363,7 @@ gsk_path_builder_get_type
<FILE>GskPathMeasure</FILE>
GskPathMeasure
gsk_path_measure_new
+gsk_path_measure_new_with_tolerance
gsk_path_measure_ref
gsk_path_measure_unref
<SUBSECTION>
diff --git a/gsk/gskpath.c b/gsk/gskpath.c
index 0d295dc594..b799033abe 100644
--- a/gsk/gskpath.c
+++ b/gsk/gskpath.c
@@ -21,6 +21,8 @@
#include "gskpathprivate.h"
+#include "gsksplineprivate.h"
+
/**
* SECTION:gskpath
* @Title: Path
@@ -65,6 +67,7 @@ struct _GskContourClass
GskPathForeachFunc func,
gpointer user_data);
gpointer (* init_measure) (const GskContour *contour,
+ float tolerance,
float *out_length);
void (* free_measure) (const GskContour *contour,
gpointer measure_data);
@@ -197,6 +200,7 @@ gsk_rect_contour_foreach (const GskContour *contour,
static gpointer
gsk_rect_contour_init_measure (const GskContour *contour,
+ float tolerance,
float *out_length)
{
const GskRectContour *self = (const GskRectContour *) contour;
@@ -479,14 +483,54 @@ gsk_standard_contour_get_bounds (const GskContour *contour,
return bounds->size.width > 0 && bounds->size.height > 0;
}
+typedef struct
+{
+ float start;
+ float end;
+ float start_progress;
+ float end_progress;
+ graphene_point_t end_point;
+ gsize op;
+} GskStandardContourMeasure;
+
+typedef struct
+{
+ GArray *array;
+ GskStandardContourMeasure measure;
+} LengthDecompose;
+
+static void
+gsk_standard_contour_measure_add_point (const graphene_point_t *from,
+ const graphene_point_t *to,
+ float from_progress,
+ float to_progress,
+ gpointer user_data)
+{
+ LengthDecompose *decomp = user_data;
+ float seg_length;
+
+ seg_length = graphene_point_distance (from, to, NULL, NULL);
+ decomp->measure.end += seg_length;
+ decomp->measure.start_progress = from_progress;
+ decomp->measure.end_progress = to_progress;
+ decomp->measure.end_point = *to;
+
+ g_array_append_val (decomp->array, decomp->measure);
+
+ decomp->measure.start += seg_length;
+}
+
static gpointer
gsk_standard_contour_init_measure (const GskContour *contour,
+ float tolerance,
float *out_length)
{
const GskStandardContour *self = (const GskStandardContour *) contour;
gsize i;
- float length;
+ float length, seg_length;
+ GArray *array;
+ array = g_array_new (FALSE, FALSE, sizeof (GskStandardContourMeasure));
length = 0;
for (i = 1; i < self->n_ops; i ++)
@@ -500,12 +544,27 @@ gsk_standard_contour_init_measure (const GskContour *contour,
case GSK_PATH_CLOSE:
case GSK_PATH_LINE:
- length += graphene_point_distance (&pt[0], &pt[1], NULL, NULL);
+ seg_length = graphene_point_distance (&pt[0], &pt[1], NULL, NULL);
+ if (seg_length > 0)
+ {
+ g_array_append_vals (array,
+ &(GskStandardContourMeasure) {
+ length,
+ length + seg_length,
+ 0, 1,
+ pt[1],
+ i,
+ }, 1);
+ length += seg_length;
+ }
break;
case GSK_PATH_CURVE:
- g_warning ("i'm not fat!");
- length += graphene_point_distance (&pt[0], &pt[3], NULL, NULL);
+ {
+ LengthDecompose decomp = { array, { length, length, 0, 0, pt[0], i } };
+ gsk_spline_decompose_cubic (pt, tolerance, gsk_standard_contour_measure_add_point, &decomp);
+ length = decomp.measure.start;
+ }
break;
default:
@@ -516,13 +575,14 @@ gsk_standard_contour_init_measure (const GskContour *contour,
*out_length = length;
- return NULL;
+ return array;
}
static void
gsk_standard_contour_free_measure (const GskContour *contour,
gpointer data)
{
+ g_array_free (data, TRUE);
}
static void
@@ -542,6 +602,21 @@ gsk_standard_contour_copy (const GskContour *contour,
gsk_standard_contour_init (dest, self->flags, self->ops, self->n_ops, self->points, self->n_points);
}
+static int
+gsk_standard_contour_find_measure (gconstpointer m,
+ gconstpointer l)
+{
+ const GskStandardContourMeasure *measure = m;
+ float length = *(const float *) l;
+
+ if (measure->start > length)
+ return 1;
+ else if (measure->end <= length)
+ return -1;
+ else
+ return 0;
+}
+
static void
gsk_standard_contour_add_segment (const GskContour *contour,
GskPathBuilder *builder,
@@ -550,87 +625,145 @@ gsk_standard_contour_add_segment (const GskContour *contour,
float end)
{
GskStandardContour *self = (GskStandardContour *) contour;
+ GArray *array = measure_data;
+ guint start_index, end_index;
+ float start_progress, end_progress;
+ GskStandardContourMeasure *start_measure, *end_measure;
gsize i;
- float length;
- for (i = 0; end > 0 && i < self->n_ops; i ++)
+ if (start > 0)
+ {
+ if (!g_array_binary_search (array, (float[1]) { start }, gsk_standard_contour_find_measure,
&start_index))
+ start_index = array->len - 1;
+ start_measure = &g_array_index (array, GskStandardContourMeasure, start_index);
+ start_progress = (start - start_measure->start) / (start_measure->end - start_measure->start);
+ start_progress = start_measure->start_progress + (start_measure->end_progress -
start_measure->start_progress) * start_progress;
+ g_assert (start_progress >= 0 && start_progress <= 1);
+ }
+ else
+ {
+ start_measure = NULL;
+ start_progress = 0.0;
+ }
+
+ if (g_array_binary_search (array, (float[1]) { end }, gsk_standard_contour_find_measure, &end_index))
+ {
+ end_measure = &g_array_index (array, GskStandardContourMeasure, end_index);
+ end_progress = (end - end_measure->start) / (end_measure->end - end_measure->start);
+ end_progress = end_measure->start_progress + (end_measure->end_progress - end_measure->start_progress)
* end_progress;
+ g_assert (end_progress >= 0 && end_progress <= 1);
+ }
+ else
+ {
+ end_measure = NULL;
+ end_progress = 1.0;
+ }
+
+ /* Add the first partial operation,
+ * taking care that first and last operation might be identical */
+ if (start_measure)
+ {
+ switch (self->ops[start_measure->op].op)
+ {
+ case GSK_PATH_CLOSE:
+ case GSK_PATH_LINE:
+ {
+ graphene_point_t *pts = &self->points[self->ops[start_measure->op].point];
+ graphene_point_t point;
+
+ graphene_point_interpolate (&pts[0], &pts[1], start_progress, &point);
+ gsk_path_builder_move_to (builder, point.x, point.y);
+ if (end_measure && end_measure->op == start_measure->op)
+ {
+ graphene_point_interpolate (&pts[0], &pts[1], end_progress, &point);
+ gsk_path_builder_line_to (builder, point.x, point.y);
+ return;
+ }
+ gsk_path_builder_line_to (builder, pts[1].x, pts[1].y);
+ }
+ break;
+
+ case GSK_PATH_CURVE:
+ {
+ graphene_point_t *pts = &self->points[self->ops[start_measure->op].point];
+ graphene_point_t curve[4], discard[4];
+
+ gsk_spline_split_cubic (pts, discard, curve, start_progress);
+ if (end_measure && end_measure->op == start_measure->op)
+ {
+ graphene_point_t tiny[4];
+ gsk_spline_split_cubic (curve, tiny, discard, (end_progress - start_progress) / (1 -
start_progress));
+ gsk_path_builder_move_to (builder, tiny[0].x, tiny[0].y);
+ gsk_path_builder_curve_to (builder, tiny[1].x, tiny[1].y, tiny[2].x, tiny[2].y, tiny[3].x,
tiny[3].y);
+ return;
+ }
+ gsk_path_builder_move_to (builder, curve[0].x, curve[0].y);
+ gsk_path_builder_curve_to (builder, curve[1].x, curve[1].y, curve[2].x, curve[2].y, curve[3].x,
curve[3].y);
+ }
+ break;
+
+ case GSK_PATH_MOVE:
+ default:
+ g_assert_not_reached();
+ return;
+ }
+ i = start_measure->op + 1;
+ }
+ else
+ i = 0;
+
+ for (; i < (end_measure ? end_measure->op : self->n_ops); i++)
{
graphene_point_t *pt = &self->points[self->ops[i].point];
switch (self->ops[i].op)
{
case GSK_PATH_MOVE:
- if (start <= 0.0)
- {
- gsk_path_builder_move_to (builder, pt[0].x, pt[0].y);
- start = -1;
- }
+ gsk_path_builder_move_to (builder, pt[0].x, pt[0].y);
break;
+ case GSK_PATH_LINE:
+ case GSK_PATH_CLOSE:
+ gsk_path_builder_line_to (builder, pt[1].x, pt[1].y);
+ break;
+
+ case GSK_PATH_CURVE:
+ gsk_path_builder_curve_to (builder, pt[1].x, pt[1].y, pt[2].x, pt[2].y, pt[3].x, pt[3].y);
+ break;
+
+ default:
+ g_assert_not_reached();
+ return;
+ }
+ }
+
+ /* Add the last partial operation */
+ if (end_measure)
+ {
+ switch (self->ops[end_measure->op].op)
+ {
case GSK_PATH_CLOSE:
case GSK_PATH_LINE:
- length = graphene_point_distance (&pt[0], &pt[1], NULL, NULL);
- if (length <= start)
- {
- start -= length;
- end -= length;
- }
- else
- {
- if (start >= 0)
- {
- graphene_point_t start_pt;
- graphene_point_interpolate (&pt[0], &pt[1], start / length, &start_pt);
- gsk_path_builder_move_to (builder, start_pt.x, start_pt.y);
- start = -1;
- }
- if (length <= end)
- {
- gsk_path_builder_line_to (builder, pt[1].x, pt[1].y);
- end -= length;
- }
- else
- {
- graphene_point_t end_pt;
- graphene_point_interpolate (&pt[0], &pt[1], end / length, &end_pt);
- gsk_path_builder_line_to (builder, end_pt.x, end_pt.y);
- return;
- }
- }
+ {
+ graphene_point_t *pts = &self->points[self->ops[end_measure->op].point];
+ graphene_point_t point;
+
+ graphene_point_interpolate (&pts[0], &pts[1], end_progress, &point);
+ gsk_path_builder_line_to (builder, point.x, point.y);
+ }
break;
case GSK_PATH_CURVE:
- g_warning ("i'm not fat!");
- length = graphene_point_distance (&pt[0], &pt[3], NULL, NULL);
- if (length <= start)
- {
- start -= length;
- end -= length;
- }
- else
- {
- if (start >= 0)
- {
- graphene_point_t start_pt;
- graphene_point_interpolate (&pt[0], &pt[3], start / length, &start_pt);
- gsk_path_builder_move_to (builder, start_pt.x, start_pt.y);
- start = -1;
- }
- if (length <= end)
- {
- gsk_path_builder_line_to (builder, pt[3].x, pt[3].y);
- end -= length;
- }
- else
- {
- graphene_point_t end_pt;
- graphene_point_interpolate (&pt[0], &pt[3], end / length, &end_pt);
- gsk_path_builder_line_to (builder, end_pt.x, end_pt.y);
- return;
- }
- }
+ {
+ graphene_point_t *pts = &self->points[self->ops[end_measure->op].point];
+ graphene_point_t curve[4], discard[4];
+
+ gsk_spline_split_cubic (pts, curve, discard, end_progress);
+ gsk_path_builder_curve_to (builder, curve[1].x, curve[1].y, curve[2].x, curve[2].y, curve[3].x,
curve[3].y);
+ }
break;
+ case GSK_PATH_MOVE:
default:
g_assert_not_reached();
return;
@@ -714,11 +847,12 @@ gsk_contour_foreach (const GskContour *contour,
gpointer
gsk_contour_init_measure (GskPath *path,
gsize i,
+ float tolerance,
float *out_length)
{
GskContour *self = path->contours[i];
- return self->klass->init_measure (self, out_length);
+ return self->klass->init_measure (self, tolerance, out_length);
}
void
@@ -1422,6 +1556,11 @@ gsk_path_builder_line_to (GskPathBuilder *builder,
return;
}
+ /* skip the line if it goes to the same point */
+ if (graphene_point_equal (&g_array_index (builder->points, graphene_point_t, builder->points->len - 1),
+ &GRAPHENE_POINT_INIT (x, y)))
+ return;
+
gsk_path_builder_append_current (builder,
GSK_PATH_LINE,
1, (graphene_point_t[1]) {
diff --git a/gsk/gskpathmeasure.c b/gsk/gskpathmeasure.c
index 7fd0eeb65d..61b802508b 100644
--- a/gsk/gskpathmeasure.c
+++ b/gsk/gskpathmeasure.c
@@ -47,6 +47,7 @@ struct _GskPathMeasure
guint ref_count;
GskPath *path;
+ float tolerance;
float length;
gsize n_contours;
@@ -74,11 +75,28 @@ G_DEFINE_BOXED_TYPE (GskPathMeasure, gsk_path_measure,
**/
GskPathMeasure *
gsk_path_measure_new (GskPath *path)
+{
+ return gsk_path_measure_new_with_tolerance (path, GSK_PATH_TOLERANCE_DEFAULT);
+}
+
+/**
+ * gsk_path_measure_new_with_tolerance:
+ * @path: the path to measure
+ * @tolerance: the tolerance for measuring operations
+ *
+ * Creates a measure object for the given @path and @tolerance.
+ *
+ * Returns: a new #GskPathMeasure representing @path
+ **/
+GskPathMeasure *
+gsk_path_measure_new_with_tolerance (GskPath *path,
+ float tolerance)
{
GskPathMeasure *self;
gsize i, n_contours;
g_return_val_if_fail (path != NULL, NULL);
+ g_return_val_if_fail (tolerance > 0, NULL);
n_contours = gsk_path_get_n_contours (path);
@@ -86,11 +104,14 @@ gsk_path_measure_new (GskPath *path)
self->ref_count = 1;
self->path = gsk_path_ref (path);
+ self->tolerance = tolerance;
self->n_contours = n_contours;
for (i = 0; i < n_contours; i++)
{
- self->measures[i].contour_data = gsk_contour_init_measure (path, i, &self->measures[i].length);
+ self->measures[i].contour_data = gsk_contour_init_measure (path, i,
+ self->tolerance,
+ &self->measures[i].length);
self->length += self->measures[i].length;
}
diff --git a/gsk/gskpathmeasure.h b/gsk/gskpathmeasure.h
index abf4202eb6..f38e77302b 100644
--- a/gsk/gskpathmeasure.h
+++ b/gsk/gskpathmeasure.h
@@ -35,6 +35,9 @@ GDK_AVAILABLE_IN_ALL
GType gsk_path_measure_get_type (void) G_GNUC_CONST;
GDK_AVAILABLE_IN_ALL
GskPathMeasure * gsk_path_measure_new (GskPath *path);
+GDK_AVAILABLE_IN_ALL
+GskPathMeasure * gsk_path_measure_new_with_tolerance (GskPath *path,
+ float tolerance);
GDK_AVAILABLE_IN_ALL
GskPathMeasure * gsk_path_measure_ref (GskPathMeasure *self);
diff --git a/gsk/gskpathprivate.h b/gsk/gskpathprivate.h
index afee649ce1..6c51d09524 100644
--- a/gsk/gskpathprivate.h
+++ b/gsk/gskpathprivate.h
@@ -36,6 +36,7 @@ gboolean gsk_path_foreach_with_tolerance (GskPath
gpointer gsk_contour_init_measure (GskPath *path,
gsize i,
+ float tolerance,
float *out_length);
void gsk_contour_free_measure (GskPath *path,
gsize i,
diff --git a/gsk/gskspline.c b/gsk/gskspline.c
new file mode 100644
index 0000000000..03223915bf
--- /dev/null
+++ b/gsk/gskspline.c
@@ -0,0 +1,179 @@
+/*
+ * Copyright © 2002 University of Southern California
+ * 2020 Benjamin Otte
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library. If not, see <http://www.gnu.org/licenses/>.
+ *
+ * Authors: Benjamin Otte <otte gnome org>
+ * Carl D. Worth <cworth cworth org>
+ */
+
+#include "config.h"
+
+#include "gsksplineprivate.h"
+
+typedef struct
+{
+ graphene_point_t last_point;
+ float last_progress;
+ float tolerance_squared;
+ GskSplineAddPointFunc func;
+ gpointer user_data;
+} GskCubicDecomposition;
+
+static void
+gsk_spline_decompose_add_point (GskCubicDecomposition *decomp,
+ const graphene_point_t *pt,
+ float progress)
+{
+ if (graphene_point_equal (&decomp->last_point, pt))
+ return;
+
+ decomp->func (&decomp->last_point, pt, decomp->last_progress, decomp->last_progress + progress,
decomp->user_data);
+ decomp->last_point = *pt;
+ decomp->last_progress += progress;
+}
+
+void
+gsk_spline_split_cubic (const graphene_point_t pts[4],
+ graphene_point_t result1[4],
+ graphene_point_t result2[4],
+ float progress)
+{
+ graphene_point_t ab, bc, cd;
+ graphene_point_t abbc, bccd;
+ graphene_point_t final;
+
+ graphene_point_interpolate (&pts[0], &pts[1], progress, &ab);
+ graphene_point_interpolate (&pts[1], &pts[2], progress, &bc);
+ graphene_point_interpolate (&pts[2], &pts[3], progress, &cd);
+ graphene_point_interpolate (&ab, &bc, progress, &abbc);
+ graphene_point_interpolate (&bc, &cd, progress, &bccd);
+ graphene_point_interpolate (&abbc, &bccd, progress, &final);
+
+ memcpy (result1, (graphene_point_t[4]) { pts[0], ab, abbc, final }, sizeof (graphene_point_t[4]));
+ memcpy (result2, (graphene_point_t[4]) { final, bccd, cd, pts[3] }, sizeof (graphene_point_t[4]));
+}
+
+/* Return an upper bound on the error (squared) that could result from
+ * approximating a spline as a line segment connecting the two endpoints. */
+static float
+gsk_spline_error_squared (const graphene_point_t pts[4])
+{
+ float bdx, bdy, berr;
+ float cdx, cdy, cerr;
+
+ /* We are going to compute the distance (squared) between each of the the b
+ * and c control points and the segment a-b. The maximum of these two
+ * distances will be our approximation error. */
+
+ bdx = pts[1].x - pts[0].x;
+ bdy = pts[1].y - pts[0].y;
+
+ cdx = pts[2].x - pts[0].x;
+ cdy = pts[2].y - pts[0].y;
+
+ if (!graphene_point_equal (&pts[0], &pts[3]))
+ {
+ float dx, dy, u, v;
+
+ /* Intersection point (px):
+ * px = p1 + u(p2 - p1)
+ * (p - px) ∙ (p2 - p1) = 0
+ * Thus:
+ * u = ((p - p1) ∙ (p2 - p1)) / ∥p2 - p1∥²;
+ */
+
+ dx = pts[3].x - pts[0].x;
+ dy = pts[3].y - pts[0].y;
+ v = dx * dx + dy * dy;
+
+ u = bdx * dx + bdy * dy;
+ if (u <= 0)
+ {
+ /* bdx -= 0;
+ * bdy -= 0;
+ */
+ }
+ else if (u >= v)
+ {
+ bdx -= dx;
+ bdy -= dy;
+ }
+ else
+ {
+ bdx -= u/v * dx;
+ bdy -= u/v * dy;
+ }
+
+ u = cdx * dx + cdy * dy;
+ if (u <= 0)
+ {
+ /* cdx -= 0;
+ * cdy -= 0;
+ */
+ }
+ else if (u >= v)
+ {
+ cdx -= dx;
+ cdy -= dy;
+ }
+ else
+ {
+ cdx -= u/v * dx;
+ cdy -= u/v * dy;
+ }
+ }
+
+ berr = bdx * bdx + bdy * bdy;
+ cerr = cdx * cdx + cdy * cdy;
+ if (berr > cerr)
+ return berr;
+ else
+ return cerr;
+}
+
+static void
+gsk_spline_decompose_into (GskCubicDecomposition *decomp,
+ const graphene_point_t pts[4],
+ float progress)
+{
+ graphene_point_t left[4], right[4];
+
+ if (gsk_spline_error_squared (pts) < decomp->tolerance_squared)
+ {
+ gsk_spline_decompose_add_point (decomp, &pts[3], progress);
+ return;
+ }
+
+ gsk_spline_split_cubic (pts, left, right, 0.5);
+
+ gsk_spline_decompose_into (decomp, left, progress / 2);
+ gsk_spline_decompose_into (decomp, right, progress / 2);
+}
+
+void
+gsk_spline_decompose_cubic (const graphene_point_t pts[4],
+ float tolerance,
+ GskSplineAddPointFunc add_point_func,
+ gpointer user_data)
+{
+ GskCubicDecomposition decomp = { pts[0], 0.0f, tolerance * tolerance, add_point_func, user_data };
+
+ gsk_spline_decompose_into (&decomp, pts, 1.0f);
+
+ g_assert (graphene_point_equal (&decomp.last_point, &pts[3]));
+ g_assert (decomp.last_progress == 1.0f || decomp.last_progress == 0.0f);
+}
+
diff --git a/gsk/gsksplineprivate.h b/gsk/gsksplineprivate.h
new file mode 100644
index 0000000000..5df41077d3
--- /dev/null
+++ b/gsk/gsksplineprivate.h
@@ -0,0 +1,46 @@
+/*
+ * Copyright © 2020 Benjamin Otte
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library. If not, see <http://www.gnu.org/licenses/>.
+ *
+ * Authors: Benjamin Otte <otte gnome org>
+ */
+
+
+#ifndef __GSK_SPLINE_PRIVATE_H__
+#define __GSK_SPLINE_PRIVATE_H__
+
+#include "gskpath.h"
+
+G_BEGIN_DECLS
+
+typedef void (* GskSplineAddPointFunc) (const graphene_point_t *from,
+ const graphene_point_t *to,
+ float from_progress,
+ float to_progress,
+ gpointer user_data);
+
+void gsk_spline_split_cubic (const graphene_point_t pts[4],
+ graphene_point_t result1[4],
+ graphene_point_t result2[4],
+ float progress);
+void gsk_spline_decompose_cubic (const graphene_point_t pts[4],
+ float tolerance,
+ GskSplineAddPointFunc add_point_func,
+ gpointer user_data);
+
+G_END_DECLS
+
+#endif /* __GSK_SPLINE_PRIVATE_H__ */
+
diff --git a/gsk/meson.build b/gsk/meson.build
index 8e7cd1e612..207a1e4c00 100644
--- a/gsk/meson.build
+++ b/gsk/meson.build
@@ -41,6 +41,7 @@ gsk_private_sources = files([
'gskdebug.c',
'gskprivate.c',
'gskprofiler.c',
+ 'gskspline.c',
'gl/gskglshaderbuilder.c',
'gl/gskglprofiler.c',
'gl/gskglglyphcache.c',
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