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mutter/cogl/cogl-matrix.c
Robert Bragg d4a5d70ee0 util: optimize _clutter_util_fully_transform_vertices 
Instead of unconditionally combining the modelview and projection
matrices and then iterating each of the vertices to call
cogl_matrix_transform_point for each one in turn we now only combine the
matrices if there are more than 4 vertices (with less than 4 vertices
its less work to transform them separately) and we use the new
cogl_vertex_{transform,project}_points APIs which can hopefully
vectorize the transformations.

Finally the perspective divide and viewport scale is done in a separate
loop at the end and we don't do the spurious perspective divide and
viewport scale for the z component.
2011-03-07 13:26:20 +00:00

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/*
* Cogl
*
* An object oriented GL/GLES Abstraction/Utility Layer
*
* Copyright (C) 2008,2009 Intel Corporation.
*
* 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 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:
* Robert Bragg <robert@linux.intel.com>
*/
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#define USE_MESA_MATRIX_API
#include <cogl.h>
#include "cogl-debug.h"
#include <cogl-matrix.h>
#include <cogl-matrix-private.h>
#ifdef USE_MESA_MATRIX_API
#include <cogl-matrix-mesa.h>
#endif
#include <glib.h>
#include <math.h>
#include <string.h>
#ifdef _COGL_SUPPORTS_GTYPE_INTEGRATION
#include <cogl-gtype-private.h>
COGL_GTYPE_DEFINE_BOXED ("Matrix", matrix,
cogl_matrix_copy,
cogl_matrix_free);
#endif
void
_cogl_matrix_print (CoglMatrix *matrix)
{
float *m = (float *)matrix;
int y;
for (y = 0; y < 4; y++)
g_print ("\t%6.4f %6.4f %6.4f %6.4f\n", m[y], m[4+y], m[8+y], m[12+y]);
}
void
cogl_matrix_init_identity (CoglMatrix *matrix)
{
#ifndef USE_MESA_MATRIX_API
matrix->xx = 1; matrix->xy = 0; matrix->xz = 0; matrix->xw = 0;
matrix->yx = 0; matrix->yy = 1; matrix->yz = 0; matrix->yw = 0;
matrix->zx = 0; matrix->zy = 0; matrix->zz = 1; matrix->zw = 0;
matrix->wx = 0; matrix->wy = 0; matrix->wz = 0; matrix->ww = 1;
#else
_math_matrix_init_identity (matrix);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_multiply (CoglMatrix *result,
const CoglMatrix *a,
const CoglMatrix *b)
{
#ifndef USE_MESA_MATRIX_API
CoglMatrix r;
/* row 0 */
r.xx = a->xx * b->xx + a->xy * b->yx + a->xz * b->zx + a->xw * b->wx;
r.xy = a->xx * b->xy + a->xy * b->yy + a->xz * b->zy + a->xw * b->wy;
r.xz = a->xx * b->xz + a->xy * b->yz + a->xz * b->zz + a->xw * b->wz;
r.xw = a->xx * b->xw + a->xy * b->yw + a->xz * b->zw + a->xw * b->ww;
/* row 1 */
r.yx = a->yx * b->xx + a->yy * b->yx + a->yz * b->zx + a->yw * b->wx;
r.yy = a->yx * b->xy + a->yy * b->yy + a->yz * b->zy + a->yw * b->wy;
r.yz = a->yx * b->xz + a->yy * b->yz + a->yz * b->zz + a->yw * b->wz;
r.yw = a->yx * b->xw + a->yy * b->yw + a->yz * b->zw + a->yw * b->ww;
/* row 2 */
r.zx = a->zx * b->xx + a->zy * b->yx + a->zz * b->zx + a->zw * b->wx;
r.zy = a->zx * b->xy + a->zy * b->yy + a->zz * b->zy + a->zw * b->wy;
r.zz = a->zx * b->xz + a->zy * b->yz + a->zz * b->zz + a->zw * b->wz;
r.zw = a->zx * b->xw + a->zy * b->yw + a->zz * b->zw + a->zw * b->ww;
/* row 3 */
r.wx = a->wx * b->xx + a->wy * b->yx + a->wz * b->zx + a->ww * b->wx;
r.wy = a->wx * b->xy + a->wy * b->yy + a->wz * b->zy + a->ww * b->wy;
r.wz = a->wx * b->xz + a->wy * b->yz + a->wz * b->zz + a->ww * b->wz;
r.ww = a->wx * b->xw + a->wy * b->yw + a->wz * b->zw + a->ww * b->ww;
/* The idea was that having this unrolled; it might be easier for the
* compiler to vectorize, but that's probably not true. Mesa does it
* using a single for (i=0; i<4; i++) approach, maybe that's better...
*/
*result = r;
#else
_math_matrix_multiply (result, a, b);
#endif
_COGL_MATRIX_DEBUG_PRINT (result);
}
void
cogl_matrix_rotate (CoglMatrix *matrix,
float angle,
float x,
float y,
float z)
{
#ifndef USE_MESA_MATRIX_API
CoglMatrix rotation;
CoglMatrix result;
float c, s;
angle *= G_PI / 180.0f;
c = cosf (angle);
s = sinf (angle);
rotation.xx = x * x * (1.0f - c) + c;
rotation.yx = y * x * (1.0f - c) + z * s;
rotation.zx = x * z * (1.0f - c) - y * s;
rotation.wx = 0.0f;
rotation.xy = x * y * (1.0f - c) - z * s;
rotation.yy = y * y * (1.0f - c) + c;
rotation.zy = y * z * (1.0f - c) + x * s;
rotation.wy = 0.0f;
rotation.xz = x * z * (1.0f - c) + y * s;
rotation.yz = y * z * (1.0f - c) - x * s;
rotation.zz = z * z * (1.0f - c) + c;
rotation.wz = 0.0f;
rotation.xw = 0.0f;
rotation.yw = 0.0f;
rotation.zw = 0.0f;
rotation.ww = 1.0f;
cogl_matrix_multiply (&result, matrix, &rotation);
*matrix = result;
#else
_math_matrix_rotate (matrix, angle, x, y, z);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_translate (CoglMatrix *matrix,
float x,
float y,
float z)
{
#ifndef USE_MESA_MATRIX_API
matrix->xw = matrix->xx * x + matrix->xy * y + matrix->xz * z + matrix->xw;
matrix->yw = matrix->yx * x + matrix->yy * y + matrix->yz * z + matrix->yw;
matrix->zw = matrix->zx * x + matrix->zy * y + matrix->zz * z + matrix->zw;
matrix->ww = matrix->wx * x + matrix->wy * y + matrix->wz * z + matrix->ww;
#else
_math_matrix_translate (matrix, x, y, z);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_scale (CoglMatrix *matrix,
float sx,
float sy,
float sz)
{
#ifndef USE_MESA_MATRIX_API
matrix->xx *= sx; matrix->xy *= sy; matrix->xz *= sz;
matrix->yx *= sx; matrix->yy *= sy; matrix->yz *= sz;
matrix->zx *= sx; matrix->zy *= sy; matrix->zz *= sz;
matrix->wx *= sx; matrix->wy *= sy; matrix->wz *= sz;
#else
_math_matrix_scale (matrix, sx, sy, sz);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_frustum (CoglMatrix *matrix,
float left,
float right,
float bottom,
float top,
float z_near,
float z_far)
{
#ifndef USE_MESA_MATRIX_API
float x, y, a, b, c, d;
CoglMatrix frustum;
x = (2.0f * z_near) / (right - left);
y = (2.0f * z_near) / (top - bottom);
a = (right + left) / (right - left);
b = (top + bottom) / (top - bottom);
c = -(z_far + z_near) / ( z_far - z_near);
d = -(2.0f * z_far* z_near) / (z_far - z_near);
frustum.xx = x;
frustum.yx = 0.0f;
frustum.zx = 0.0f;
frustum.wx = 0.0f;
frustum.xy = 0.0f;
frustum.yy = y;
frustum.zy = 0.0f;
frustum.wy = 0.0f;
frustum.xz = a;
frustum.yz = b;
frustum.zz = c;
frustum.wz = -1.0f;
frustum.xw = 0.0f;
frustum.yw = 0.0f;
frustum.zw = d;
frustum.ww = 0.0f;
cogl_matrix_multiply (matrix, matrix, &frustum);
#else
_math_matrix_frustum (matrix, left, right, bottom, top, z_near, z_far);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_perspective (CoglMatrix *matrix,
float fov_y,
float aspect,
float z_near,
float z_far)
{
float ymax = z_near * tan (fov_y * G_PI / 360.0);
cogl_matrix_frustum (matrix,
-ymax * aspect, /* left */
ymax * aspect, /* right */
-ymax, /* bottom */
ymax, /* top */
z_near,
z_far);
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_ortho (CoglMatrix *matrix,
float left,
float right,
float bottom,
float top,
float near_val,
float far_val)
{
#ifndef USE_MESA_MATRIX_API
CoglMatrix ortho;
/* column 0 */
ortho.xx = 2.0 / (right - left);
ortho.yx = 0.0;
ortho.zx = 0.0;
ortho.wx = 0.0;
/* column 1 */
ortho.xy = 0.0;
ortho.yy = 2.0 / (top - bottom);
ortho.zy = 0.0;
ortho.wy = 0.0;
/* column 2 */
ortho.xz = 0.0;
ortho.yz = 0.0;
ortho.zz = -2.0 / (far_val - near_val);
ortho.wz = 0.0;
/* column 3 */
ortho.xw = -(right + left) / (right - left);
ortho.yw = -(top + bottom) / (top - bottom);
ortho.zw = -(far_val + near_val) / (far_val - near_val);
ortho.ww = 1.0;
cogl_matrix_multiply (matrix, matrix, &ortho);
#else
_math_matrix_ortho (matrix, left, right, bottom, top, near_val, far_val);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
void
cogl_matrix_view_2d_in_frustum (CoglMatrix *matrix,
float left,
float right,
float bottom,
float top,
float z_near,
float z_2d,
float width_2d,
float height_2d)
{
float left_2d_plane = left / z_near * z_2d;
float right_2d_plane = right / z_near * z_2d;
float bottom_2d_plane = bottom / z_near * z_2d;
float top_2d_plane = top / z_near * z_2d;
float width_2d_start = right_2d_plane - left_2d_plane;
float height_2d_start = top_2d_plane - bottom_2d_plane;
/* Factors to scale from framebuffer geometry to frustum
* cross-section geometry. */
float width_scale = width_2d_start / width_2d;
float height_scale = height_2d_start / height_2d;
cogl_matrix_translate (matrix,
left_2d_plane, top_2d_plane, -z_2d);
cogl_matrix_scale (matrix, width_scale, -height_scale, width_scale);
}
/* Assuming a symmetric perspective matrix is being used for your
* projective transform this convenience function lets you compose a
* view transform such that geometry on the z=0 plane will map to
* screen coordinates with a top left origin of (0,0) and with the
* given width and height.
*/
void
cogl_matrix_view_2d_in_perspective (CoglMatrix *matrix,
float fov_y,
float aspect,
float z_near,
float z_2d,
float width_2d,
float height_2d)
{
float top = z_near * tan (fov_y * G_PI / 360.0);
cogl_matrix_view_2d_in_frustum (matrix,
-top * aspect,
top * aspect,
-top,
top,
z_near,
z_2d,
width_2d,
height_2d);
}
void
cogl_matrix_init_from_array (CoglMatrix *matrix, const float *array)
{
#ifndef USE_MESA_MATRIX_API
memcpy (matrix, array, sizeof (float) * 16);
#else
_math_matrix_init_from_array (matrix, array);
#endif
_COGL_MATRIX_DEBUG_PRINT (matrix);
}
gboolean
cogl_matrix_equal (gconstpointer v1, gconstpointer v2)
{
const CoglMatrix *a = v1;
const CoglMatrix *b = v2;
g_return_val_if_fail (v1 != NULL, FALSE);
g_return_val_if_fail (v2 != NULL, FALSE);
/* We want to avoid having a fuzzy _equal() function (e.g. that uses
* an arbitrary epsilon value) since this function noteably conforms
* to the prototype suitable for use with g_hash_table_new() and a
* fuzzy hash function isn't really appropriate for comparing hash
* table keys since it's possible that you could end up fetching
* different values if you end up with multiple similar keys in use
* at the same time. If you consider that fuzzyness allows cases
* such as A == B == C but A != C then you could also end up loosing
* values in a hash table.
*
* We do at least use the == operator to compare values though so
* that -0 is considered equal to 0.
*/
/* XXX: We don't compare the flags, inverse matrix or padding */
if (a->xx == b->xx &&
a->xy == b->xy &&
a->xz == b->xz &&
a->xw == b->xw &&
a->yx == b->yx &&
a->yy == b->yy &&
a->yz == b->yz &&
a->yw == b->yw &&
a->zx == b->zx &&
a->zy == b->zy &&
a->zz == b->zz &&
a->zw == b->zw &&
a->wx == b->wx &&
a->wy == b->wy &&
a->wz == b->wz &&
a->ww == b->ww)
return TRUE;
else
return FALSE;
}
CoglMatrix *
cogl_matrix_copy (const CoglMatrix *matrix)
{
if (G_LIKELY (matrix))
return g_slice_dup (CoglMatrix, matrix);
return NULL;
}
void
cogl_matrix_free (CoglMatrix *matrix)
{
g_slice_free (CoglMatrix, matrix);
}
const float *
cogl_matrix_get_array (const CoglMatrix *matrix)
{
return (float *)matrix;
}
gboolean
cogl_matrix_get_inverse (const CoglMatrix *matrix, CoglMatrix *inverse)
{
#ifndef USE_MESA_MATRIX_API
#warning "cogl_matrix_get_inverse not supported without Mesa matrix API"
cogl_matrix_init_identity (inverse);
return FALSE;
#else
if (_math_matrix_update_inverse ((CoglMatrix *)matrix))
{
cogl_matrix_init_from_array (inverse, matrix->inv);
return TRUE;
}
else
{
cogl_matrix_init_identity (inverse);
return FALSE;
}
#endif
}
void
cogl_matrix_transform_point (const CoglMatrix *matrix,
float *x,
float *y,
float *z,
float *w)
{
float _x = *x, _y = *y, _z = *z, _w = *w;
*x = matrix->xx * _x + matrix->xy * _y + matrix->xz * _z + matrix->xw * _w;
*y = matrix->yx * _x + matrix->yy * _y + matrix->yz * _z + matrix->yw * _w;
*z = matrix->zx * _x + matrix->zy * _y + matrix->zz * _z + matrix->zw * _w;
*w = matrix->wx * _x + matrix->wy * _y + matrix->wz * _z + matrix->ww * _w;
}
typedef struct _Point2f
{
float x;
float y;
} Point2f;
typedef struct _Point3f
{
float x;
float y;
float z;
} Point3f;
typedef struct _Point4f
{
float x;
float y;
float z;
float w;
} Point4f;
static void
_cogl_matrix_transform_points_f2 (const CoglMatrix *matrix,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
int i;
for (i = 0; i < n_points; i++)
{
Point2f p = *(Point2f *)((guint8 *)points_in + i * stride_in);
Point3f *o = (Point3f *)((guint8 *)points_out + i * stride_out);
o->x = matrix->xx * p.x + matrix->xy * p.y + matrix->xw;
o->y = matrix->yx * p.x + matrix->yy * p.y + matrix->yw;
o->z = matrix->zx * p.x + matrix->zy * p.y + matrix->zw;
}
}
static void
_cogl_matrix_project_points_f2 (const CoglMatrix *matrix,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
int i;
for (i = 0; i < n_points; i++)
{
Point2f p = *(Point2f *)((guint8 *)points_in + i * stride_in);
Point4f *o = (Point4f *)((guint8 *)points_out + i * stride_out);
o->x = matrix->xx * p.x + matrix->xy * p.y + matrix->xw;
o->y = matrix->yx * p.x + matrix->yy * p.y + matrix->yw;
o->z = matrix->zx * p.x + matrix->zy * p.y + matrix->zw;
o->w = matrix->wx * p.x + matrix->wy * p.y + matrix->ww;
}
}
static void
_cogl_matrix_transform_points_f3 (const CoglMatrix *matrix,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
int i;
for (i = 0; i < n_points; i++)
{
Point3f p = *(Point3f *)((guint8 *)points_in + i * stride_in);
Point3f *o = (Point3f *)((guint8 *)points_out + i * stride_out);
o->x = matrix->xx * p.x + matrix->xy * p.y +
matrix->xz * p.z + matrix->xw;
o->y = matrix->yx * p.x + matrix->yy * p.y +
matrix->yz * p.z + matrix->yw;
o->z = matrix->zx * p.x + matrix->zy * p.y +
matrix->zz * p.z + matrix->zw;
}
}
static void
_cogl_matrix_project_points_f3 (const CoglMatrix *matrix,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
int i;
for (i = 0; i < n_points; i++)
{
Point3f p = *(Point3f *)((guint8 *)points_in + i * stride_in);
Point4f *o = (Point4f *)((guint8 *)points_out + i * stride_out);
o->x = matrix->xx * p.x + matrix->xy * p.y +
matrix->xz * p.z + matrix->xw;
o->y = matrix->yx * p.x + matrix->yy * p.y +
matrix->yz * p.z + matrix->yw;
o->z = matrix->zx * p.x + matrix->zy * p.y +
matrix->zz * p.z + matrix->zw;
o->w = matrix->wx * p.x + matrix->wy * p.y +
matrix->wz * p.z + matrix->ww;
}
}
static void
_cogl_matrix_project_points_f4 (const CoglMatrix *matrix,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
int i;
for (i = 0; i < n_points; i++)
{
Point4f p = *(Point4f *)((guint8 *)points_in + i * stride_in);
Point4f *o = (Point4f *)((guint8 *)points_out + i * stride_out);
o->x = matrix->xx * p.x + matrix->xy * p.y +
matrix->xz * p.z + matrix->xw * p.w;
o->y = matrix->yx * p.x + matrix->yy * p.y +
matrix->yz * p.z + matrix->yw * p.w;
o->z = matrix->zx * p.x + matrix->zy * p.y +
matrix->zz * p.z + matrix->zw * p.w;
o->w = matrix->wx * p.x + matrix->wy * p.y +
matrix->wz * p.z + matrix->ww * p.w;
}
}
void
cogl_matrix_transform_points (const CoglMatrix *matrix,
int n_components,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
/* The results of transforming always have three components... */
g_return_if_fail (stride_out >= sizeof (Point3f));
if (n_components == 2)
_cogl_matrix_transform_points_f2 (matrix,
stride_in, points_in,
stride_out, points_out,
n_points);
else
{
g_return_if_fail (n_components == 3);
_cogl_matrix_transform_points_f3 (matrix,
stride_in, points_in,
stride_out, points_out,
n_points);
}
}
void
cogl_matrix_project_points (const CoglMatrix *matrix,
int n_components,
size_t stride_in,
const void *points_in,
size_t stride_out,
void *points_out,
int n_points)
{
if (n_components == 2)
_cogl_matrix_project_points_f2 (matrix,
stride_in, points_in,
stride_out, points_out,
n_points);
else if (n_components == 3)
_cogl_matrix_project_points_f3 (matrix,
stride_in, points_in,
stride_out, points_out,
n_points);
else
{
g_return_if_fail (n_components == 4);
_cogl_matrix_project_points_f4 (matrix,
stride_in, points_in,
stride_out, points_out,
n_points);
}
}
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