Commit f5476503 authored by Keith Packard's avatar Keith Packard

Export a bunch of matrix operations from render.

The render extension uses many matrix operations internally, this change
exposes those functions to other parts of the server, drivers and
extensions. The change is motivated by the 'transform' additions to the
RandR extension but will likely be useful elsewhere.
parent e063162e
......@@ -6,6 +6,7 @@ librender_la_SOURCES = \
animcur.c \
filter.c \
glyph.c \
matrix.c \
miindex.c \
mipict.c \
mirect.c \
......
/*
* Copyright © 2007 Keith Packard
*
* Permission to use, copy, modify, distribute, and sell this software and its
* documentation for any purpose is hereby granted without fee, provided that
* the above copyright notice appear in all copies and that both that copyright
* notice and this permission notice appear in supporting documentation, and
* that the name of the copyright holders not be used in advertising or
* publicity pertaining to distribution of the software without specific,
* written prior permission. The copyright holders make no representations
* about the suitability of this software for any purpose. It is provided "as
* is" without express or implied warranty.
*
* THE COPYRIGHT HOLDERS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
* EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY SPECIAL, INDIRECT OR
* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE,
* DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
* TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
* OF THIS SOFTWARE.
*/
#ifdef HAVE_DIX_CONFIG_H
#include <dix-config.h>
#endif
#include "misc.h"
#include "scrnintstr.h"
#include "os.h"
#include "regionstr.h"
#include "validate.h"
#include "windowstr.h"
#include "input.h"
#include "resource.h"
#include "colormapst.h"
#include "cursorstr.h"
#include "dixstruct.h"
#include "gcstruct.h"
#include "servermd.h"
#include "picturestr.h"
#define F(x) IntToxFixed(x)
_X_EXPORT void
PictureTransformInitIdentity (PictTransformPtr matrix)
{
int i;
memset (matrix, '\0', sizeof (PictTransform));
for (i = 0; i < 3; i++)
matrix->matrix[i][i] = F(1);
}
_X_EXPORT Bool
PictureTransformPoint3d (PictTransformPtr transform,
PictVectorPtr vector)
{
PictVector result;
int i, j;
xFixed_32_32 partial;
xFixed_48_16 v;
for (j = 0; j < 3; j++)
{
v = 0;
for (i = 0; i < 3; i++)
{
partial = ((xFixed_48_16) transform->matrix[j][i] *
(xFixed_48_16) vector->vector[i]);
v += partial >> 16;
}
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
result.vector[j] = (xFixed) v;
}
if (!result.vector[2])
return FALSE;
*vector = result;
return TRUE;
}
_X_EXPORT Bool
PictureTransformPoint (PictTransformPtr transform,
PictVectorPtr vector)
{
PictVector result;
int i, j;
xFixed_32_32 partial;
xFixed_48_16 v;
for (j = 0; j < 3; j++)
{
v = 0;
for (i = 0; i < 3; i++)
{
partial = ((xFixed_48_16) transform->matrix[j][i] *
(xFixed_48_16) vector->vector[i]);
v += partial >> 16;
}
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
result.vector[j] = (xFixed) v;
}
if (!result.vector[2])
return FALSE;
for (j = 0; j < 2; j++)
{
partial = (xFixed_48_16) result.vector[j] << 16;
v = partial / result.vector[2];
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
vector->vector[j] = (xFixed) v;
}
vector->vector[2] = xFixed1;
return TRUE;
}
_X_EXPORT Bool
PictureTransformMultiply (PictTransformPtr dst, PictTransformPtr l, PictTransformPtr r)
{
PictTransform d;
int dx, dy;
int o;
for (dy = 0; dy < 3; dy++)
for (dx = 0; dx < 3; dx++)
{
xFixed_48_16 v;
xFixed_32_32 partial;
v = 0;
for (o = 0; o < 3; o++)
{
partial = (xFixed_32_32) l->matrix[dy][o] * (xFixed_32_32) r->matrix[o][dx];
v += partial >> 16;
}
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
d.matrix[dy][dx] = (xFixed) v;
}
*dst = d;
return TRUE;
}
_X_EXPORT void
PictureTransformInitScale (PictTransformPtr t, xFixed sx, xFixed sy)
{
memset (t, '\0', sizeof (PictTransform));
t->matrix[0][0] = sx;
t->matrix[1][1] = sy;
t->matrix[2][2] = F (1);
}
static xFixed
fixed_inverse (xFixed x)
{
return (xFixed) ((((xFixed_48_16) F(1)) * F(1)) / x);
}
_X_EXPORT Bool
PictureTransformScale (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed sx, xFixed sy)
{
PictTransform t;
if (sx == 0 || sy == 0)
return FALSE;
PictureTransformInitScale (&t, sx, sy);
if (!PictureTransformMultiply (forward, &t, forward))
return FALSE;
PictureTransformInitScale (&t, fixed_inverse (sx), fixed_inverse (sy));
if (!PictureTransformMultiply (reverse, reverse, &t))
return FALSE;
return TRUE;
}
_X_EXPORT void
PictureTransformInitRotate (PictTransformPtr t, xFixed c, xFixed s)
{
memset (t, '\0', sizeof (PictTransform));
t->matrix[0][0] = c;
t->matrix[0][1] = -s;
t->matrix[1][0] = s;
t->matrix[1][1] = c;
t->matrix[2][2] = F (1);
}
_X_EXPORT Bool
PictureTransformRotate (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed c, xFixed s)
{
PictTransform t;
PictureTransformInitRotate (&t, c, s);
if (!PictureTransformMultiply (forward, &t, forward))
return FALSE;
PictureTransformInitRotate (&t, c, -s);
if (!PictureTransformMultiply (reverse, reverse, &t))
return FALSE;
return TRUE;
}
_X_EXPORT void
PictureTransformInitTranslate (PictTransformPtr t, xFixed tx, xFixed ty)
{
memset (t, '\0', sizeof (PictTransform));
t->matrix[0][0] = F (1);
t->matrix[0][2] = tx;
t->matrix[1][1] = F (1);
t->matrix[1][2] = ty;
t->matrix[2][2] = F (1);
}
_X_EXPORT Bool
PictureTransformTranslate (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed tx, xFixed ty)
{
PictTransform t;
PictureTransformInitTranslate (&t, tx, ty);
if (!PictureTransformMultiply (forward, &t, forward))
return FALSE;
PictureTransformInitTranslate (&t, -tx, -ty);
if (!PictureTransformMultiply (reverse, reverse, &t))
return FALSE;
return TRUE;
}
_X_EXPORT void
PictureTransformBounds (BoxPtr b, PictTransformPtr matrix)
{
PictVector v[4];
int i;
int x1, y1, x2, y2;
v[0].vector[0] = F (b->x1); v[0].vector[1] = F (b->y1); v[0].vector[2] = F(1);
v[1].vector[0] = F (b->x2); v[1].vector[1] = F (b->y1); v[1].vector[2] = F(1);
v[2].vector[0] = F (b->x2); v[2].vector[1] = F (b->y2); v[2].vector[2] = F(1);
v[3].vector[0] = F (b->x1); v[3].vector[1] = F (b->y2); v[3].vector[2] = F(1);
for (i = 0; i < 4; i++)
{
PictureTransformPoint (matrix, &v[i]);
x1 = xFixedToInt (v[i].vector[0]);
y1 = xFixedToInt (v[i].vector[1]);
x2 = xFixedToInt (xFixedCeil (v[i].vector[0]));
y2 = xFixedToInt (xFixedCeil (v[i].vector[1]));
if (i == 0)
{
b->x1 = x1; b->y1 = y1;
b->x2 = x2; b->y2 = y2;
}
else
{
if (x1 < b->x1) b->x1 = x1;
if (y1 < b->y1) b->y1 = y1;
if (x2 > b->x2) b->x2 = x2;
if (y2 > b->y2) b->y2 = y2;
}
}
}
static Bool
within_epsilon (xFixed a, xFixed b, xFixed epsilon)
{
xFixed t = a - b;
if (t < 0) t = -t;
return t <= epsilon;
}
#define epsilon (xFixed) (2)
#define IsSame(a,b) (within_epsilon (a, b, epsilon))
#define IsZero(a) (within_epsilon (a, 0, epsilon))
#define IsOne(a) (within_epsilon (a, F(1), epsilon))
#define IsUnit(a) (within_epsilon (a, F( 1), epsilon) || \
within_epsilon (a, F(-1), epsilon) || \
IsZero (a))
#define IsInt(a) (IsZero (xFixedFrac(a)))
_X_EXPORT Bool
PictureTransformIsIdentity(PictTransform *t)
{
return (IsUnit (t->matrix[0][0]) &&
IsUnit (t->matrix[0][1]) &&
IsInt (t->matrix[0][2]) &&
IsUnit (t->matrix[1][0]) &&
IsUnit (t->matrix[1][1]) &&
IsInt (t->matrix[1][2]) &&
IsZero (t->matrix[2][0]) &&
IsZero (t->matrix[2][1]) &&
IsOne (t->matrix[2][2]));
}
_X_EXPORT Bool
PictureTransformIsUnit(PictTransform *t)
{
return (IsSame (t->matrix[0][0],t->matrix[1][1]) &&
IsSame (t->matrix[0][0], t->matrix[2][2]) &&
!IsZero (t->matrix[0][0]) &&
IsZero (t->matrix[0][1]) &&
IsZero (t->matrix[0][2]) &&
IsZero (t->matrix[1][0]) &&
IsZero (t->matrix[1][2]) &&
IsZero (t->matrix[2][0]) &&
IsZero (t->matrix[2][1]));
}
_X_EXPORT Bool
PictureTransformIsScale(PictTransform *t)
{
return (!IsZero (t->matrix[0][0]) &&
IsZero (t->matrix[0][1]) &&
IsZero (t->matrix[0][2]) &&
IsZero (t->matrix[1][0]) &&
!IsZero (t->matrix[1][1]) &&
IsZero (t->matrix[1][2]) &&
IsZero (t->matrix[2][0]) &&
IsZero (t->matrix[2][1]) &&
IsOne (t->matrix[2][2]));
}
_X_EXPORT Bool
PictureTransformIsTranslate(PictTransform *t)
{
return ( IsOne (t->matrix[0][0]) &&
IsZero (t->matrix[0][1]) &&
IsInt (t->matrix[0][2]) &&
IsZero (t->matrix[1][0]) &&
IsOne (t->matrix[1][1]) &&
IsInt (t->matrix[1][2]) &&
IsZero (t->matrix[2][0]) &&
IsZero (t->matrix[2][1]) &&
IsOne (t->matrix[2][2]));
}
_X_EXPORT Bool
PictureTransformIsInverse (PictTransform *a, PictTransform *b)
{
PictTransform t;
PictureTransformMultiply (&t, a, b);
return PictureTransformIsIdentity (&t);
}
......@@ -1780,67 +1780,3 @@ AddTraps (PicturePtr pPicture,
(*ps->AddTraps) (pPicture, xOff, yOff, ntrap, traps);
}
_X_EXPORT Bool
PictureTransformPoint3d (PictTransformPtr transform,
PictVectorPtr vector)
{
PictVector result;
int i, j;
xFixed_32_32 partial;
xFixed_48_16 v;
for (j = 0; j < 3; j++)
{
v = 0;
for (i = 0; i < 3; i++)
{
partial = ((xFixed_48_16) transform->matrix[j][i] *
(xFixed_48_16) vector->vector[i]);
v += partial >> 16;
}
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
result.vector[j] = (xFixed) v;
}
if (!result.vector[2])
return FALSE;
*vector = result;
return TRUE;
}
_X_EXPORT Bool
PictureTransformPoint (PictTransformPtr transform,
PictVectorPtr vector)
{
PictVector result;
int i, j;
xFixed_32_32 partial;
xFixed_48_16 v;
for (j = 0; j < 3; j++)
{
v = 0;
for (i = 0; i < 3; i++)
{
partial = ((xFixed_48_16) transform->matrix[j][i] *
(xFixed_48_16) vector->vector[i]);
v += partial >> 16;
}
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
result.vector[j] = (xFixed) v;
}
if (!result.vector[2])
return FALSE;
for (j = 0; j < 2; j++)
{
partial = (xFixed_48_16) result.vector[j] << 16;
v = partial / result.vector[2];
if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
return FALSE;
vector->vector[j] = (xFixed) v;
}
vector->vector[2] = xFixed1;
return TRUE;
}
......@@ -602,14 +602,6 @@ CompositeTriFan (CARD8 op,
int npoints,
xPointFixed *points);
Bool
PictureTransformPoint (PictTransformPtr transform,
PictVectorPtr vector);
Bool
PictureTransformPoint3d (PictTransformPtr transform,
PictVectorPtr vector);
CARD32
PictureGradientColor (PictGradientStopPtr stop1,
PictGradientStopPtr stop2,
......@@ -673,4 +665,67 @@ void PanoramiXRenderInit (void);
void PanoramiXRenderReset (void);
#endif
/*
* matrix.c
*/
void
PictureTransformInitIdentity (PictTransformPtr matrix);
Bool
PictureTransformPoint3d (PictTransformPtr transform,
PictVectorPtr vector);
Bool
PictureTransformPoint (PictTransformPtr transform,
PictVectorPtr vector);
Bool
PictureTransformMultiply (PictTransformPtr dst,
PictTransformPtr l, PictTransformPtr r);
void
PictureTransformInitScale (PictTransformPtr t, xFixed sx, xFixed sy);
Bool
PictureTransformScale (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed sx, xFixed sy);
void
PictureTransformInitRotate (PictTransformPtr t, xFixed c, xFixed s);
Bool
PictureTransformRotate (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed c, xFixed s);
void
PictureTransformInitTranslate (PictTransformPtr t, xFixed tx, xFixed ty);
Bool
PictureTransformTranslate (PictTransformPtr forward,
PictTransformPtr reverse,
xFixed tx, xFixed ty);
void
PictureTransformBounds (BoxPtr b, PictTransformPtr matrix);
Bool
PictureTransformIsIdentity(PictTransform *t);
Bool
PictureTransformIsUnit(PictTransform *t);
Bool
PictureTransformIsScale(PictTransform *t);
Bool
PictureTransformIsScale(PictTransform *t);
Bool
PictureTransformIsTranslate (PictTransform *t);
Bool
PictureTransformIsInverse(PictTransform *t, PictTransform *i);
#endif /* _PICTURESTR_H_ */
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