gimp/app/core/gimpcurve.c

1059 lines
30 KiB
C

/* GIMP - The GNU Image Manipulation Program
* Copyright (C) 1995 Spencer Kimball and Peter Mattis
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#include "config.h"
#include <stdlib.h>
#include <string.h> /* memcmp */
#include <glib-object.h>
#include "libgimpmath/gimpmath.h"
#include "libgimpconfig/gimpconfig.h"
#include "core-types.h"
#include "gimpcurve.h"
#include "gimpcurve-load.h"
#include "gimpcurve-save.h"
#include "gimp-intl.h"
enum
{
PROP_0,
PROP_CURVE_TYPE,
PROP_N_POINTS,
PROP_POINTS,
PROP_N_SAMPLES,
PROP_SAMPLES
};
/* local function prototypes */
static void gimp_curve_config_iface_init (GimpConfigInterface *iface);
static void gimp_curve_finalize (GObject *object);
static void gimp_curve_set_property (GObject *object,
guint property_id,
const GValue *value,
GParamSpec *pspec);
static void gimp_curve_get_property (GObject *object,
guint property_id,
GValue *value,
GParamSpec *pspec);
static gint64 gimp_curve_get_memsize (GimpObject *object,
gint64 *gui_size);
static void gimp_curve_get_preview_size (GimpViewable *viewable,
gint size,
gboolean popup,
gboolean dot_for_dot,
gint *width,
gint *height);
static gboolean gimp_curve_get_popup_size (GimpViewable *viewable,
gint width,
gint height,
gboolean dot_for_dot,
gint *popup_width,
gint *popup_height);
static TempBuf * gimp_curve_get_new_preview (GimpViewable *viewable,
GimpContext *context,
gint width,
gint height);
static gchar * gimp_curve_get_description (GimpViewable *viewable,
gchar **tooltip);
static void gimp_curve_dirty (GimpData *data);
static const gchar * gimp_curve_get_extension (GimpData *data);
static GimpData * gimp_curve_duplicate (GimpData *data);
static gboolean gimp_curve_serialize (GimpConfig *config,
GimpConfigWriter *writer,
gpointer data);
static gboolean gimp_curve_deserialize (GimpConfig *config,
GScanner *scanner,
gint nest_level,
gpointer data);
static gboolean gimp_curve_equal (GimpConfig *a,
GimpConfig *b);
static void _gimp_curve_reset (GimpConfig *config);
static gboolean gimp_curve_copy (GimpConfig *src,
GimpConfig *dest,
GParamFlags flags);
static void gimp_curve_set_n_points (GimpCurve *curve,
gint n_points);
static void gimp_curve_set_n_samples (GimpCurve *curve,
gint n_samples);
static void gimp_curve_calculate (GimpCurve *curve);
static void gimp_curve_plot (GimpCurve *curve,
gint p1,
gint p2,
gint p3,
gint p4);
G_DEFINE_TYPE_WITH_CODE (GimpCurve, gimp_curve, GIMP_TYPE_DATA,
G_IMPLEMENT_INTERFACE (GIMP_TYPE_CONFIG,
gimp_curve_config_iface_init))
#define parent_class gimp_curve_parent_class
static void
gimp_curve_class_init (GimpCurveClass *klass)
{
GObjectClass *object_class = G_OBJECT_CLASS (klass);
GimpObjectClass *gimp_object_class = GIMP_OBJECT_CLASS (klass);
GimpViewableClass *viewable_class = GIMP_VIEWABLE_CLASS (klass);
GimpDataClass *data_class = GIMP_DATA_CLASS (klass);
GParamSpec *array_spec;
object_class->finalize = gimp_curve_finalize;
object_class->set_property = gimp_curve_set_property;
object_class->get_property = gimp_curve_get_property;
gimp_object_class->get_memsize = gimp_curve_get_memsize;
viewable_class->default_stock_id = "FIXME";
viewable_class->get_preview_size = gimp_curve_get_preview_size;
viewable_class->get_popup_size = gimp_curve_get_popup_size;
viewable_class->get_new_preview = gimp_curve_get_new_preview;
viewable_class->get_description = gimp_curve_get_description;
data_class->dirty = gimp_curve_dirty;
data_class->save = gimp_curve_save;
data_class->get_extension = gimp_curve_get_extension;
data_class->duplicate = gimp_curve_duplicate;
GIMP_CONFIG_INSTALL_PROP_ENUM (object_class, PROP_CURVE_TYPE,
"curve-type",
"The curve type",
GIMP_TYPE_CURVE_TYPE,
GIMP_CURVE_SMOOTH, 0);
GIMP_CONFIG_INSTALL_PROP_INT (object_class, PROP_N_POINTS,
"n-points",
"The number of points",
17, 17, 17, 0);
array_spec = g_param_spec_double ("point", NULL, NULL,
-1.0, 1.0, 0.0, GIMP_PARAM_READWRITE);
g_object_class_install_property (object_class, PROP_POINTS,
g_param_spec_value_array ("points",
NULL, NULL,
array_spec,
GIMP_PARAM_STATIC_STRINGS |
GIMP_CONFIG_PARAM_FLAGS));
GIMP_CONFIG_INSTALL_PROP_INT (object_class, PROP_N_SAMPLES,
"n-samples",
"The number of samples",
256, 256, 256, 0);
array_spec = g_param_spec_double ("sample", NULL, NULL,
0.0, 1.0, 0.0, GIMP_PARAM_READWRITE);
g_object_class_install_property (object_class, PROP_SAMPLES,
g_param_spec_value_array ("samples",
NULL, NULL,
array_spec,
GIMP_PARAM_STATIC_STRINGS |
GIMP_CONFIG_PARAM_FLAGS));
}
static void
gimp_curve_config_iface_init (GimpConfigInterface *iface)
{
iface->serialize = gimp_curve_serialize;
iface->deserialize = gimp_curve_deserialize;
iface->equal = gimp_curve_equal;
iface->reset = _gimp_curve_reset;
iface->copy = gimp_curve_copy;
}
static void
gimp_curve_init (GimpCurve *curve)
{
curve->n_points = 0;
curve->points = NULL;
curve->n_samples = 0;
curve->samples = NULL;
curve->identity = FALSE;
}
static void
gimp_curve_finalize (GObject *object)
{
GimpCurve *curve = GIMP_CURVE (object);
if (curve->points)
{
g_free (curve->points);
curve->points = NULL;
}
if (curve->samples)
{
g_free (curve->samples);
curve->samples = NULL;
}
G_OBJECT_CLASS (parent_class)->finalize (object);
}
static void
gimp_curve_set_property (GObject *object,
guint property_id,
const GValue *value,
GParamSpec *pspec)
{
GimpCurve *curve = GIMP_CURVE (object);
switch (property_id)
{
case PROP_CURVE_TYPE:
gimp_curve_set_curve_type (curve, g_value_get_enum (value));
break;
case PROP_N_POINTS:
gimp_curve_set_n_points (curve, g_value_get_int (value));
break;
case PROP_POINTS:
{
GValueArray *array = g_value_get_boxed (value);
gint i;
if (! array)
break;
for (i = 0; i < curve->n_points && i * 2 < array->n_values; i++)
{
GValue *x = g_value_array_get_nth (array, i * 2);
GValue *y = g_value_array_get_nth (array, i * 2 + 1);
curve->points[i].x = g_value_get_double (x);
curve->points[i].y = g_value_get_double (y);
}
}
break;
case PROP_N_SAMPLES:
gimp_curve_set_n_samples (curve, g_value_get_int (value));
break;
case PROP_SAMPLES:
{
GValueArray *array = g_value_get_boxed (value);
gint i;
if (! array)
break;
for (i = 0; i < curve->n_samples && i < array->n_values; i++)
{
GValue *v = g_value_array_get_nth (array, i);
curve->samples[i] = g_value_get_double (v);
}
}
break;
default:
G_OBJECT_WARN_INVALID_PROPERTY_ID (object, property_id, pspec);
break;
}
}
static void
gimp_curve_get_property (GObject *object,
guint property_id,
GValue *value,
GParamSpec *pspec)
{
GimpCurve *curve = GIMP_CURVE (object);
switch (property_id)
{
case PROP_CURVE_TYPE:
g_value_set_enum (value, curve->curve_type);
break;
case PROP_N_POINTS:
g_value_set_int (value, curve->n_points);
break;
case PROP_POINTS:
{
GValueArray *array = g_value_array_new (curve->n_points * 2);
GValue v = { 0, };
gint i;
g_value_init (&v, G_TYPE_DOUBLE);
for (i = 0; i < curve->n_points; i++)
{
g_value_set_double (&v, curve->points[i].x);
g_value_array_append (array, &v);
g_value_set_double (&v, curve->points[i].y);
g_value_array_append (array, &v);
}
g_value_unset (&v);
g_value_take_boxed (value, array);
}
break;
case PROP_N_SAMPLES:
g_value_set_int (value, curve->n_samples);
break;
case PROP_SAMPLES:
{
GValueArray *array = g_value_array_new (curve->n_samples);
GValue v = { 0, };
gint i;
g_value_init (&v, G_TYPE_DOUBLE);
for (i = 0; i < curve->n_samples; i++)
{
g_value_set_double (&v, curve->samples[i]);
g_value_array_append (array, &v);
}
g_value_unset (&v);
g_value_take_boxed (value, array);
}
break;
default:
G_OBJECT_WARN_INVALID_PROPERTY_ID (object, property_id, pspec);
break;
}
}
static gint64
gimp_curve_get_memsize (GimpObject *object,
gint64 *gui_size)
{
GimpCurve *curve = GIMP_CURVE (object);
gint64 memsize = 0;
memsize += curve->n_points * sizeof (GimpVector2);
memsize += curve->n_samples * sizeof (gdouble);
return memsize + GIMP_OBJECT_CLASS (parent_class)->get_memsize (object,
gui_size);
}
static void
gimp_curve_get_preview_size (GimpViewable *viewable,
gint size,
gboolean popup,
gboolean dot_for_dot,
gint *width,
gint *height)
{
*width = size;
*height = size;
}
static gboolean
gimp_curve_get_popup_size (GimpViewable *viewable,
gint width,
gint height,
gboolean dot_for_dot,
gint *popup_width,
gint *popup_height)
{
*popup_width = width * 2;
*popup_height = height * 2;
return TRUE;
}
static TempBuf *
gimp_curve_get_new_preview (GimpViewable *viewable,
GimpContext *context,
gint width,
gint height)
{
return NULL;
}
static gchar *
gimp_curve_get_description (GimpViewable *viewable,
gchar **tooltip)
{
GimpCurve *curve = GIMP_CURVE (viewable);
return g_strdup_printf ("%s", GIMP_OBJECT (curve)->name);
}
static void
gimp_curve_dirty (GimpData *data)
{
GimpCurve *curve = GIMP_CURVE (data);
curve->identity = FALSE;
gimp_curve_calculate (curve);
GIMP_DATA_CLASS (parent_class)->dirty (data);
}
static const gchar *
gimp_curve_get_extension (GimpData *data)
{
return GIMP_CURVE_FILE_EXTENSION;
}
static GimpData *
gimp_curve_duplicate (GimpData *data)
{
GimpCurve *curve = GIMP_CURVE (data);
GimpCurve *new;
new = g_object_new (GIMP_TYPE_CURVE,
"curve-type", curve->curve_type,
NULL);
return GIMP_DATA (new);
}
static gboolean
gimp_curve_serialize (GimpConfig *config,
GimpConfigWriter *writer,
gpointer data)
{
return gimp_config_serialize_properties (config, writer);
}
static gboolean
gimp_curve_deserialize (GimpConfig *config,
GScanner *scanner,
gint nest_level,
gpointer data)
{
gboolean success;
success = gimp_config_deserialize_properties (config, scanner, nest_level);
GIMP_CURVE (config)->identity = FALSE;
return success;
}
static gboolean
gimp_curve_equal (GimpConfig *a,
GimpConfig *b)
{
GimpCurve *a_curve = GIMP_CURVE (a);
GimpCurve *b_curve = GIMP_CURVE (b);
if (a_curve->curve_type != b_curve->curve_type)
return FALSE;
if (memcmp (a_curve->points, b_curve->points,
sizeof (GimpVector2) * b_curve->n_points) ||
memcmp (a_curve->samples, b_curve->samples,
sizeof (gdouble) * b_curve->n_samples))
return FALSE;
return TRUE;
}
static void
_gimp_curve_reset (GimpConfig *config)
{
gimp_curve_reset (GIMP_CURVE (config), TRUE);
}
static gboolean
gimp_curve_copy (GimpConfig *src,
GimpConfig *dest,
GParamFlags flags)
{
GimpCurve *src_curve = GIMP_CURVE (src);
GimpCurve *dest_curve = GIMP_CURVE (dest);
gimp_config_sync (G_OBJECT (src), G_OBJECT (dest), flags);
dest_curve->identity = src_curve->identity;
gimp_data_dirty (GIMP_DATA (dest));
return TRUE;
}
/* public functions */
GimpData *
gimp_curve_new (const gchar *name)
{
g_return_val_if_fail (name != NULL, NULL);
g_return_val_if_fail (*name != '\0', NULL);
return g_object_new (GIMP_TYPE_CURVE,
"name", name,
NULL);
}
GimpData *
gimp_curve_get_standard (void)
{
static GimpData *standard_curve = NULL;
if (! standard_curve)
{
standard_curve = gimp_curve_new ("Standard");
standard_curve->dirty = FALSE;
gimp_data_make_internal (standard_curve,
"gimp-curve-standard");
g_object_ref (standard_curve);
}
return standard_curve;
}
void
gimp_curve_reset (GimpCurve *curve,
gboolean reset_type)
{
gint i;
g_return_if_fail (GIMP_IS_CURVE (curve));
g_object_freeze_notify (G_OBJECT (curve));
for (i = 0; i < curve->n_samples; i++)
curve->samples[i] = (gdouble) i / (gdouble) (curve->n_samples - 1);
g_object_notify (G_OBJECT (curve), "samples");
curve->points[0].x = 0.0;
curve->points[0].y = 0.0;
for (i = 1; i < curve->n_points - 1; i++)
{
curve->points[i].x = -1.0;
curve->points[i].y = -1.0;
}
curve->points[curve->n_points - 1].x = 1.0;
curve->points[curve->n_points - 1].y = 1.0;
g_object_notify (G_OBJECT (curve), "points");
if (reset_type)
{
curve->curve_type = GIMP_CURVE_SMOOTH;
g_object_notify (G_OBJECT (curve), "curve-type");
}
curve->identity = TRUE;
g_object_thaw_notify (G_OBJECT (curve));
gimp_data_dirty (GIMP_DATA (curve));
}
void
gimp_curve_set_curve_type (GimpCurve *curve,
GimpCurveType curve_type)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
if (curve->curve_type != curve_type)
{
g_object_freeze_notify (G_OBJECT (curve));
curve->curve_type = curve_type;
if (curve_type == GIMP_CURVE_SMOOTH)
{
gint n_points;
gint i;
for (i = 0; i < curve->n_points; i++)
{
curve->points[i].x = -1;
curve->points[i].y = -1;
}
/* pick some points from the curve and make them control
* points
*/
n_points = CLAMP (9, curve->n_points / 2, curve->n_points);
for (i = 0; i < n_points; i++)
{
gint sample = i * (curve->n_samples - 1) / (n_points - 1);
gint point = i * (curve->n_points - 1) / (n_points - 1);
curve->points[point].x = ((gdouble) sample /
(gdouble) (curve->n_samples - 1));
curve->points[point].y = curve->samples[sample];
}
g_object_notify (G_OBJECT (curve), "points");
}
g_object_notify (G_OBJECT (curve), "curve-type");
g_object_thaw_notify (G_OBJECT (curve));
gimp_data_dirty (GIMP_DATA (curve));
}
}
GimpCurveType
gimp_curve_get_curve_type (GimpCurve *curve)
{
g_return_val_if_fail (GIMP_IS_CURVE (curve), GIMP_CURVE_SMOOTH);
return curve->curve_type;
}
static void
gimp_curve_set_n_points (GimpCurve *curve,
gint n_points)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
if (n_points != curve->n_points)
{
gint i;
g_object_freeze_notify (G_OBJECT (curve));
curve->n_points = n_points;
g_object_notify (G_OBJECT (curve), "n-points");
curve->points = g_renew (GimpVector2, curve->points, curve->n_points);
curve->points[0].x = 0.0;
curve->points[0].y = 0.0;
for (i = 1; i < curve->n_points - 1; i++)
{
curve->points[i].x = -1.0;
curve->points[i].y = -1.0;
}
curve->points[curve->n_points - 1].x = 1.0;
curve->points[curve->n_points - 1].y = 1.0;
g_object_notify (G_OBJECT (curve), "points");
if (curve->curve_type == GIMP_CURVE_SMOOTH)
curve->identity = TRUE;
g_object_thaw_notify (G_OBJECT (curve));
}
}
gint
gimp_curve_get_n_points (GimpCurve *curve)
{
g_return_val_if_fail (GIMP_IS_CURVE (curve), 0);
return curve->n_points;
}
static void
gimp_curve_set_n_samples (GimpCurve *curve,
gint n_samples)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
if (n_samples != curve->n_samples)
{
gint i;
g_object_freeze_notify (G_OBJECT (curve));
curve->n_samples = n_samples;
g_object_notify (G_OBJECT (curve), "n-samples");
curve->samples = g_renew (gdouble, curve->samples, curve->n_samples);
for (i = 0; i < curve->n_samples; i++)
curve->samples[i] = (gdouble) i / (gdouble) (curve->n_samples - 1);
g_object_notify (G_OBJECT (curve), "samples");
if (curve->curve_type == GIMP_CURVE_FREE)
curve->identity = TRUE;
g_object_thaw_notify (G_OBJECT (curve));
}
}
gint
gimp_curve_get_n_samples (GimpCurve *curve)
{
g_return_val_if_fail (GIMP_IS_CURVE (curve), 0);
return curve->n_samples;
}
gint
gimp_curve_get_closest_point (GimpCurve *curve,
gdouble x)
{
gint closest_point = 0;
gdouble distance = G_MAXDOUBLE;
gint i;
g_return_val_if_fail (GIMP_IS_CURVE (curve), 0);
for (i = 0; i < curve->n_points; i++)
{
if (curve->points[i].x >= 0.0 &&
fabs (x - curve->points[i].x) < distance)
{
distance = fabs (x - curve->points[i].x);
closest_point = i;
}
}
if (distance > (1.0 / (curve->n_points * 2.0)))
closest_point = ROUND (x * (gdouble) (curve->n_points - 1));
return closest_point;
}
void
gimp_curve_set_point (GimpCurve *curve,
gint point,
gdouble x,
gdouble y)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
g_return_if_fail (point >= 0 && point < curve->n_points);
g_return_if_fail (x == -1.0 || (x >= 0 && x <= 1.0));
g_return_if_fail (y == -1.0 || (y >= 0 && y <= 1.0));
if (curve->curve_type == GIMP_CURVE_FREE)
return;
g_object_freeze_notify (G_OBJECT (curve));
curve->points[point].x = x;
curve->points[point].y = y;
g_object_notify (G_OBJECT (curve), "points");
g_object_thaw_notify (G_OBJECT (curve));
gimp_data_dirty (GIMP_DATA (curve));
}
void
gimp_curve_move_point (GimpCurve *curve,
gint point,
gdouble y)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
g_return_if_fail (point >= 0 && point < curve->n_points);
g_return_if_fail (y >= 0 && y <= 1.0);
if (curve->curve_type == GIMP_CURVE_FREE)
return;
g_object_freeze_notify (G_OBJECT (curve));
curve->points[point].y = y;
g_object_notify (G_OBJECT (curve), "points");
g_object_thaw_notify (G_OBJECT (curve));
gimp_data_dirty (GIMP_DATA (curve));
}
void
gimp_curve_get_point (GimpCurve *curve,
gint point,
gdouble *x,
gdouble *y)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
g_return_if_fail (point >= 0 && point < curve->n_points);
if (curve->curve_type == GIMP_CURVE_FREE)
{
if (x) *x = -1.0;
if (y) *y = -1.0;
return;
}
if (x) *x = curve->points[point].x;
if (y) *y = curve->points[point].y;
}
void
gimp_curve_set_curve (GimpCurve *curve,
gdouble x,
gdouble y)
{
g_return_if_fail (GIMP_IS_CURVE (curve));
g_return_if_fail (x >= 0 && x <= 1.0);
g_return_if_fail (y >= 0 && y <= 1.0);
if (curve->curve_type == GIMP_CURVE_SMOOTH)
return;
g_object_freeze_notify (G_OBJECT (curve));
curve->samples[ROUND (x * (gdouble) (curve->n_samples - 1))] = y;
g_object_notify (G_OBJECT (curve), "samples");
g_object_thaw_notify (G_OBJECT (curve));
gimp_data_dirty (GIMP_DATA (curve));
}
/**
* gimp_curve_is_identity:
* @curve: a #GimpCurve object
*
* If this function returns %TRUE, then the curve maps each value to
* itself. If it returns %FALSE, then this assumption can not be made.
*
* Return value: %TRUE if the curve is an identity mapping, %FALSE otherwise.
**/
gboolean
gimp_curve_is_identity (GimpCurve *curve)
{
g_return_val_if_fail (GIMP_IS_CURVE (curve), FALSE);
return curve->identity;
}
void
gimp_curve_get_uchar (GimpCurve *curve,
gint n_samples,
guchar *samples)
{
gint i;
g_return_if_fail (GIMP_IS_CURVE (curve));
#ifdef __GNUC__
#warning: FIXME: support n_samples != curve->n_samples
#endif
g_return_if_fail (n_samples == curve->n_samples);
g_return_if_fail (samples != NULL);
for (i = 0; i < curve->n_samples; i++)
samples[i] = curve->samples[i] * 255.999;
}
/* private functions */
static void
gimp_curve_calculate (GimpCurve *curve)
{
gint *points;
gint i;
gint num_pts;
gint p1, p2, p3, p4;
if (GIMP_DATA (curve)->freeze_count > 0)
return;
points = g_newa (gint, curve->n_points);
switch (curve->curve_type)
{
case GIMP_CURVE_SMOOTH:
/* cycle through the curves */
num_pts = 0;
for (i = 0; i < curve->n_points; i++)
if (curve->points[i].x >= 0.0)
points[num_pts++] = i;
/* Initialize boundary curve points */
if (num_pts != 0)
{
GimpVector2 point;
gint boundary;
point = curve->points[points[0]];
boundary = ROUND (point.x * (gdouble) (curve->n_samples - 1));
for (i = 0; i < boundary; i++)
curve->samples[i] = point.y;
point = curve->points[points[num_pts - 1]];
boundary = ROUND (point.x * (gdouble) (curve->n_samples - 1));
for (i = boundary; i < curve->n_samples; i++)
curve->samples[i] = point.y;
}
for (i = 0; i < num_pts - 1; i++)
{
p1 = points[MAX (i - 1, 0)];
p2 = points[i];
p3 = points[i + 1];
p4 = points[MIN (i + 2, num_pts - 1)];
gimp_curve_plot (curve, p1, p2, p3, p4);
}
/* ensure that the control points are used exactly */
for (i = 0; i < num_pts; i++)
{
gdouble x = curve->points[points[i]].x;
gdouble y = curve->points[points[i]].y;
curve->samples[ROUND (x * (gdouble) (curve->n_samples - 1))] = y;
}
g_object_notify (G_OBJECT (curve), "samples");
break;
case GIMP_CURVE_FREE:
break;
}
}
/*
* This function calculates the curve values between the control points
* p2 and p3, taking the potentially existing neighbors p1 and p4 into
* account.
*
* This function uses a cubic bezier curve for the individual segments and
* calculates the necessary intermediate control points depending on the
* neighbor curve control points.
*/
static void
gimp_curve_plot (GimpCurve *curve,
gint p1,
gint p2,
gint p3,
gint p4)
{
gint i;
gdouble x0, x3;
gdouble y0, y1, y2, y3;
gdouble dx, dy;
gdouble slope;
/* the outer control points for the bezier curve. */
x0 = curve->points[p2].x;
y0 = curve->points[p2].y;
x3 = curve->points[p3].x;
y3 = curve->points[p3].y;
/*
* the x values of the inner control points are fixed at
* x1 = 2/3*x0 + 1/3*x3 and x2 = 1/3*x0 + 2/3*x3
* this ensures that the x values increase linearily with the
* parameter t and enables us to skip the calculation of the x
* values altogehter - just calculate y(t) evenly spaced.
*/
dx = x3 - x0;
dy = y3 - y0;
g_return_if_fail (dx > 0);
if (p1 == p2 && p3 == p4)
{
/* No information about the neighbors,
* calculate y1 and y2 to get a straight line
*/
y1 = y0 + dy / 3.0;
y2 = y0 + dy * 2.0 / 3.0;
}
else if (p1 == p2 && p3 != p4)
{
/* only the right neighbor is available. Make the tangent at the
* right endpoint parallel to the line between the left endpoint
* and the right neighbor. Then point the tangent at the left towards
* the control handle of the right tangent, to ensure that the curve
* does not have an inflection point.
*/
slope = (curve->points[p4].y - y0) / (curve->points[p4].x - x0);
y2 = y3 - slope * dx / 3.0;
y1 = y0 + (y2 - y0) / 2.0;
}
else if (p1 != p2 && p3 == p4)
{
/* see previous case */
slope = (y3 - curve->points[p1].y) / (x3 - curve->points[p1].x);
y1 = y0 + slope * dx / 3.0;
y2 = y3 + (y1 - y3) / 2.0;
}
else /* (p1 != p2 && p3 != p4) */
{
/* Both neighbors are available. Make the tangents at the endpoints
* parallel to the line between the opposite endpoint and the adjacent
* neighbor.
*/
slope = (y3 - curve->points[p1].y) / (x3 - curve->points[p1].x);
y1 = y0 + slope * dx / 3.0;
slope = (curve->points[p4].y - y0) / (curve->points[p4].x - x0);
y2 = y3 - slope * dx / 3.0;
}
/*
* finally calculate the y(t) values for the given bezier values. We can
* use homogenously distributed values for t, since x(t) increases linearily.
*/
for (i = 0; i <= ROUND (dx * (gdouble) (curve->n_samples - 1)); i++)
{
gdouble y, t;
gint index;
t = i / dx / (gdouble) (curve->n_samples - 1);
y = y0 * (1-t) * (1-t) * (1-t) +
3 * y1 * (1-t) * (1-t) * t +
3 * y2 * (1-t) * t * t +
y3 * t * t * t;
index = i + ROUND (x0 * (gdouble) (curve->n_samples - 1));
if (index < curve->n_samples)
curve->samples[index] = CLAMP (y, 0.0, 1.0);
}
}