49db14e4ac
RandR matrix computations lose too much precision in fixed point; computations using the inverted matrix can be as much as 10 pixels off. Convert them to double precision values and pass those around. These API changes are fairly heavyweight; the official Render interface remains fixed point, so the fixed point matrix comes along for the ride everywhere.
647 lines
16 KiB
C
647 lines
16 KiB
C
/*
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* Copyright © 2007 Keith Packard
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*
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* Permission to use, copy, modify, distribute, and sell this software and its
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* documentation for any purpose is hereby granted without fee, provided that
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* the above copyright notice appear in all copies and that both that copyright
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* notice and this permission notice appear in supporting documentation, and
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* that the name of the copyright holders not be used in advertising or
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* publicity pertaining to distribution of the software without specific,
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* written prior permission. The copyright holders make no representations
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* about the suitability of this software for any purpose. It is provided "as
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* is" without express or implied warranty.
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*
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* THE COPYRIGHT HOLDERS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
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* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
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* EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY SPECIAL, INDIRECT OR
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* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE,
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* DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
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* TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
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* OF THIS SOFTWARE.
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*/
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#ifdef HAVE_DIX_CONFIG_H
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#include <dix-config.h>
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#endif
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#include "misc.h"
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#include "scrnintstr.h"
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#include "os.h"
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#include "regionstr.h"
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#include "validate.h"
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#include "windowstr.h"
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#include "input.h"
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#include "resource.h"
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#include "colormapst.h"
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#include "cursorstr.h"
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#include "dixstruct.h"
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#include "gcstruct.h"
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#include "servermd.h"
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#include "picturestr.h"
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#define F(x) IntToxFixed(x)
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_X_EXPORT void
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PictureTransformInitIdentity (PictTransformPtr matrix)
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{
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int i;
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memset (matrix, '\0', sizeof (PictTransform));
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for (i = 0; i < 3; i++)
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matrix->matrix[i][i] = F(1);
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}
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_X_EXPORT Bool
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PictureTransformPoint3d (PictTransformPtr transform,
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PictVectorPtr vector)
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{
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PictVector result;
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int i, j;
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xFixed_32_32 partial;
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xFixed_48_16 v;
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for (j = 0; j < 3; j++)
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{
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v = 0;
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for (i = 0; i < 3; i++)
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{
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partial = ((xFixed_48_16) transform->matrix[j][i] *
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(xFixed_48_16) vector->vector[i]);
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v += partial >> 16;
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}
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if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
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return FALSE;
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result.vector[j] = (xFixed) v;
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}
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*vector = result;
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if (!result.vector[2])
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return FALSE;
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return TRUE;
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}
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_X_EXPORT Bool
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PictureTransformPoint (PictTransformPtr transform,
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PictVectorPtr vector)
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{
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PictVector result;
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int i, j;
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xFixed_32_32 partial;
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xFixed_48_16 v;
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for (j = 0; j < 3; j++)
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{
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v = 0;
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for (i = 0; i < 3; i++)
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{
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partial = ((xFixed_48_16) transform->matrix[j][i] *
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(xFixed_48_16) vector->vector[i]);
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v += partial >> 16;
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}
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if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
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return FALSE;
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result.vector[j] = (xFixed) v;
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}
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if (!result.vector[2])
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return FALSE;
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for (j = 0; j < 2; j++)
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{
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partial = (xFixed_48_16) result.vector[j] << 16;
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v = partial / result.vector[2];
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if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
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return FALSE;
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vector->vector[j] = (xFixed) v;
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}
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vector->vector[2] = xFixed1;
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return TRUE;
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}
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_X_EXPORT Bool
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PictureTransformMultiply (PictTransformPtr dst, PictTransformPtr l, PictTransformPtr r)
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{
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PictTransform d;
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int dx, dy;
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int o;
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for (dy = 0; dy < 3; dy++)
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for (dx = 0; dx < 3; dx++)
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{
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xFixed_48_16 v;
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xFixed_32_32 partial;
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v = 0;
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for (o = 0; o < 3; o++)
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{
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partial = (xFixed_32_32) l->matrix[dy][o] * (xFixed_32_32) r->matrix[o][dx];
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v += partial >> 16;
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}
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if (v > MAX_FIXED_48_16 || v < MIN_FIXED_48_16)
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return FALSE;
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d.matrix[dy][dx] = (xFixed) v;
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}
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*dst = d;
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return TRUE;
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}
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_X_EXPORT void
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PictureTransformInitScale (PictTransformPtr t, xFixed sx, xFixed sy)
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{
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memset (t, '\0', sizeof (PictTransform));
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t->matrix[0][0] = sx;
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t->matrix[1][1] = sy;
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t->matrix[2][2] = F (1);
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}
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static xFixed
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fixed_inverse (xFixed x)
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{
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return (xFixed) ((((xFixed_48_16) F(1)) * F(1)) / x);
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}
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_X_EXPORT Bool
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PictureTransformScale (PictTransformPtr forward,
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PictTransformPtr reverse,
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xFixed sx, xFixed sy)
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{
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PictTransform t;
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if (sx == 0 || sy == 0)
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return FALSE;
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PictureTransformInitScale (&t, sx, sy);
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if (!PictureTransformMultiply (forward, &t, forward))
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return FALSE;
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PictureTransformInitScale (&t, fixed_inverse (sx), fixed_inverse (sy));
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if (!PictureTransformMultiply (reverse, reverse, &t))
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return FALSE;
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return TRUE;
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}
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_X_EXPORT void
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PictureTransformInitRotate (PictTransformPtr t, xFixed c, xFixed s)
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{
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memset (t, '\0', sizeof (PictTransform));
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t->matrix[0][0] = c;
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t->matrix[0][1] = -s;
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t->matrix[1][0] = s;
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t->matrix[1][1] = c;
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t->matrix[2][2] = F (1);
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}
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_X_EXPORT Bool
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PictureTransformRotate (PictTransformPtr forward,
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PictTransformPtr reverse,
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xFixed c, xFixed s)
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{
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PictTransform t;
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PictureTransformInitRotate (&t, c, s);
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if (!PictureTransformMultiply (forward, &t, forward))
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return FALSE;
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PictureTransformInitRotate (&t, c, -s);
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if (!PictureTransformMultiply (reverse, reverse, &t))
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return FALSE;
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return TRUE;
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}
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_X_EXPORT void
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PictureTransformInitTranslate (PictTransformPtr t, xFixed tx, xFixed ty)
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{
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memset (t, '\0', sizeof (PictTransform));
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t->matrix[0][0] = F (1);
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t->matrix[0][2] = tx;
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t->matrix[1][1] = F (1);
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t->matrix[1][2] = ty;
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t->matrix[2][2] = F (1);
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}
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_X_EXPORT Bool
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PictureTransformTranslate (PictTransformPtr forward,
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PictTransformPtr reverse,
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xFixed tx, xFixed ty)
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{
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PictTransform t;
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PictureTransformInitTranslate (&t, tx, ty);
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if (!PictureTransformMultiply (forward, &t, forward))
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return FALSE;
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PictureTransformInitTranslate (&t, -tx, -ty);
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if (!PictureTransformMultiply (reverse, reverse, &t))
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return FALSE;
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return TRUE;
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}
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_X_EXPORT void
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PictureTransformBounds (BoxPtr b, PictTransformPtr matrix)
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{
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PictVector v[4];
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int i;
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int x1, y1, x2, y2;
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v[0].vector[0] = F (b->x1); v[0].vector[1] = F (b->y1); v[0].vector[2] = F(1);
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v[1].vector[0] = F (b->x2); v[1].vector[1] = F (b->y1); v[1].vector[2] = F(1);
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v[2].vector[0] = F (b->x2); v[2].vector[1] = F (b->y2); v[2].vector[2] = F(1);
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v[3].vector[0] = F (b->x1); v[3].vector[1] = F (b->y2); v[3].vector[2] = F(1);
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for (i = 0; i < 4; i++)
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{
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PictureTransformPoint (matrix, &v[i]);
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x1 = xFixedToInt (v[i].vector[0]);
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y1 = xFixedToInt (v[i].vector[1]);
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x2 = xFixedToInt (xFixedCeil (v[i].vector[0]));
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y2 = xFixedToInt (xFixedCeil (v[i].vector[1]));
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if (i == 0)
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{
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b->x1 = x1; b->y1 = y1;
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b->x2 = x2; b->y2 = y2;
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}
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else
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{
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if (x1 < b->x1) b->x1 = x1;
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if (y1 < b->y1) b->y1 = y1;
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if (x2 > b->x2) b->x2 = x2;
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if (y2 > b->y2) b->y2 = y2;
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}
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}
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}
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_X_EXPORT Bool
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PictureTransformInvert (PictTransformPtr dst, const PictTransformPtr src)
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{
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struct pict_f_transform m, r;
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pict_f_transform_from_pixman_transform (&m, src);
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if (!pict_f_transform_invert (&r, &m))
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return FALSE;
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if (!pixman_transform_from_pict_f_transform (dst, &r))
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return FALSE;
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return TRUE;
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}
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static Bool
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within_epsilon (xFixed a, xFixed b, xFixed epsilon)
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{
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xFixed t = a - b;
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if (t < 0) t = -t;
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return t <= epsilon;
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}
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#define epsilon (xFixed) (2)
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#define IsSame(a,b) (within_epsilon (a, b, epsilon))
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#define IsZero(a) (within_epsilon (a, 0, epsilon))
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#define IsOne(a) (within_epsilon (a, F(1), epsilon))
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#define IsUnit(a) (within_epsilon (a, F( 1), epsilon) || \
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within_epsilon (a, F(-1), epsilon) || \
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IsZero (a))
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#define IsInt(a) (IsZero (xFixedFrac(a)))
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_X_EXPORT Bool
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PictureTransformIsIdentity(PictTransform *t)
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{
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return (IsUnit (t->matrix[0][0]) &&
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IsUnit (t->matrix[0][1]) &&
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IsInt (t->matrix[0][2]) &&
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IsUnit (t->matrix[1][0]) &&
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IsUnit (t->matrix[1][1]) &&
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IsInt (t->matrix[1][2]) &&
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IsZero (t->matrix[2][0]) &&
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IsZero (t->matrix[2][1]) &&
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IsOne (t->matrix[2][2]));
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}
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_X_EXPORT Bool
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PictureTransformIsUnit(PictTransform *t)
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{
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return (IsSame (t->matrix[0][0],t->matrix[1][1]) &&
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IsSame (t->matrix[0][0], t->matrix[2][2]) &&
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!IsZero (t->matrix[0][0]) &&
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IsZero (t->matrix[0][1]) &&
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IsZero (t->matrix[0][2]) &&
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IsZero (t->matrix[1][0]) &&
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IsZero (t->matrix[1][2]) &&
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IsZero (t->matrix[2][0]) &&
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IsZero (t->matrix[2][1]));
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}
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_X_EXPORT Bool
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PictureTransformIsScale(PictTransform *t)
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{
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return (!IsZero (t->matrix[0][0]) &&
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IsZero (t->matrix[0][1]) &&
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IsZero (t->matrix[0][2]) &&
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IsZero (t->matrix[1][0]) &&
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!IsZero (t->matrix[1][1]) &&
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IsZero (t->matrix[1][2]) &&
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IsZero (t->matrix[2][0]) &&
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IsZero (t->matrix[2][1]) &&
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IsOne (t->matrix[2][2]));
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}
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_X_EXPORT Bool
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PictureTransformIsTranslate(PictTransform *t)
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{
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return ( IsOne (t->matrix[0][0]) &&
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IsZero (t->matrix[0][1]) &&
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IsInt (t->matrix[0][2]) &&
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IsZero (t->matrix[1][0]) &&
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IsOne (t->matrix[1][1]) &&
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IsInt (t->matrix[1][2]) &&
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IsZero (t->matrix[2][0]) &&
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IsZero (t->matrix[2][1]) &&
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IsOne (t->matrix[2][2]));
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}
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_X_EXPORT Bool
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PictureTransformIsInverse (PictTransform *a, PictTransform *b)
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{
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PictTransform t;
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PictureTransformMultiply (&t, a, b);
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return PictureTransformIsIdentity (&t);
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}
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_X_EXPORT void
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PictTransform_from_xRenderTransform (PictTransformPtr pict,
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xRenderTransform *render)
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{
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pict->matrix[0][0] = render->matrix11;
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pict->matrix[0][1] = render->matrix12;
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pict->matrix[0][2] = render->matrix13;
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pict->matrix[1][0] = render->matrix21;
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pict->matrix[1][1] = render->matrix22;
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pict->matrix[1][2] = render->matrix23;
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pict->matrix[2][0] = render->matrix31;
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pict->matrix[2][1] = render->matrix32;
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pict->matrix[2][2] = render->matrix33;
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}
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void
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xRenderTransform_from_PictTransform (xRenderTransform *render,
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PictTransformPtr pict)
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{
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render->matrix11 = pict->matrix[0][0];
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render->matrix12 = pict->matrix[0][1];
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render->matrix13 = pict->matrix[0][2];
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render->matrix21 = pict->matrix[1][0];
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render->matrix22 = pict->matrix[1][1];
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render->matrix23 = pict->matrix[1][2];
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render->matrix31 = pict->matrix[2][0];
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render->matrix32 = pict->matrix[2][1];
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render->matrix33 = pict->matrix[2][2];
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}
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/*
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* Floating point matrix interfaces
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*/
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_X_EXPORT void
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pict_f_transform_from_pixman_transform (struct pict_f_transform *ft,
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struct pixman_transform *t)
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{
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int i, j;
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for (j = 0; j < 3; j++)
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for (i = 0; i < 3; i++)
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ft->m[j][i] = pixman_fixed_to_double (t->matrix[j][i]);
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}
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_X_EXPORT Bool
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pixman_transform_from_pict_f_transform (struct pixman_transform *t,
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struct pict_f_transform *ft)
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{
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int i, j;
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for (j = 0; j < 3; j++)
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for (i = 0; i < 3; i++)
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{
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double d = ft->m[j][i];
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if (d < -32767.0 || d > 32767.0)
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return FALSE;
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d = d * 65536.0 + 0.5;
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t->matrix[j][i] = (xFixed) floor (d);
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}
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return TRUE;
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}
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static const int a[3] = { 3, 3, 2 };
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static const int b[3] = { 2, 1, 1 };
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_X_EXPORT Bool
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pict_f_transform_invert (struct pict_f_transform *r,
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struct pict_f_transform *m)
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{
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double det;
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int i, j;
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static int a[3] = { 2, 2, 1 };
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static int b[3] = { 1, 0, 0 };
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det = 0;
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for (i = 0; i < 3; i++) {
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double p;
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int ai = a[i];
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int bi = b[i];
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p = m->m[i][0] * (m->m[ai][2] * m->m[bi][1] - m->m[ai][1] * m->m[bi][2]);
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if (i == 1)
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p = -p;
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det += p;
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}
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if (det == 0)
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return FALSE;
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det = 1/det;
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for (j = 0; j < 3; j++) {
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for (i = 0; i < 3; i++) {
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double p;
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int ai = a[i];
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int aj = a[j];
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int bi = b[i];
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int bj = b[j];
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p = m->m[ai][aj] * m->m[bi][bj] - m->m[ai][bj] * m->m[bi][aj];
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if (((i + j) & 1) != 0)
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p = -p;
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r->m[j][i] = det * p;
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}
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}
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return TRUE;
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}
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_X_EXPORT Bool
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pict_f_transform_point (struct pict_f_transform *t,
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struct pict_f_vector *v)
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{
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struct pict_f_vector result;
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int i, j;
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double a;
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for (j = 0; j < 3; j++)
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{
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a = 0;
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for (i = 0; i < 3; i++)
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a += t->m[j][i] * v->v[i];
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result.v[j] = a;
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}
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if (!result.v[2])
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return FALSE;
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for (j = 0; j < 2; j++)
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v->v[j] = result.v[j] / result.v[2];
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v->v[2] = 1;
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return TRUE;
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}
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_X_EXPORT void
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pict_f_transform_point_3d (struct pict_f_transform *t,
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struct pict_f_vector *v)
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{
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struct pict_f_vector result;
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int i, j;
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double a;
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for (j = 0; j < 3; j++)
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{
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a = 0;
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for (i = 0; i < 3; i++)
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a += t->m[j][i] * v->v[i];
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result.v[j] = a;
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}
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*v = result;
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}
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_X_EXPORT void
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pict_f_transform_multiply (struct pict_f_transform *dst,
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struct pict_f_transform *l, struct pict_f_transform *r)
|
|
{
|
|
struct pict_f_transform d;
|
|
int dx, dy;
|
|
int o;
|
|
|
|
for (dy = 0; dy < 3; dy++)
|
|
for (dx = 0; dx < 3; dx++)
|
|
{
|
|
double v = 0;
|
|
for (o = 0; o < 3; o++)
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|
v += l->m[dy][o] * r->m[o][dx];
|
|
d.m[dy][dx] = v;
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}
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|
*dst = d;
|
|
}
|
|
|
|
_X_EXPORT void
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|
pict_f_transform_init_scale (struct pict_f_transform *t, double sx, double sy)
|
|
{
|
|
t->m[0][0] = sx; t->m[0][1] = 0; t->m[0][2] = 0;
|
|
t->m[1][0] = 0; t->m[1][1] = sy; t->m[1][2] = 0;
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t->m[2][0] = 0; t->m[2][1] = 0; t->m[2][2] = 1;
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|
}
|
|
|
|
_X_EXPORT Bool
|
|
pict_f_transform_scale (struct pict_f_transform *forward,
|
|
struct pict_f_transform *reverse,
|
|
double sx, double sy)
|
|
{
|
|
struct pict_f_transform t;
|
|
|
|
if (sx == 0 || sy == 0)
|
|
return FALSE;
|
|
|
|
pict_f_transform_init_scale (&t, sx, sy);
|
|
pict_f_transform_multiply (forward, &t, forward);
|
|
pict_f_transform_init_scale (&t, 1/sx, 1/sy);
|
|
pict_f_transform_multiply (reverse, reverse, &t);
|
|
return TRUE;
|
|
}
|
|
|
|
_X_EXPORT void
|
|
pict_f_transform_init_rotate (struct pict_f_transform *t, double c, double s)
|
|
{
|
|
t->m[0][0] = c; t->m[0][1] = -s; t->m[0][2] = 0;
|
|
t->m[1][0] = s; t->m[1][1] = c; t->m[1][2] = 0;
|
|
t->m[2][0] = 0; t->m[2][1] = 0; t->m[2][2] = 1;
|
|
}
|
|
|
|
_X_EXPORT Bool
|
|
pict_f_transform_rotate (struct pict_f_transform *forward,
|
|
struct pict_f_transform *reverse,
|
|
double c, double s)
|
|
{
|
|
struct pict_f_transform t;
|
|
|
|
pict_f_transform_init_rotate (&t, c, s);
|
|
pict_f_transform_multiply (forward, &t, forward);
|
|
pict_f_transform_init_rotate (&t, c, -s);
|
|
pict_f_transform_multiply (reverse, reverse, &t);
|
|
return TRUE;
|
|
}
|
|
|
|
_X_EXPORT void
|
|
pict_f_transform_init_translate (struct pict_f_transform *t, double tx, double ty)
|
|
{
|
|
t->m[0][0] = 1; t->m[0][1] = 0; t->m[0][2] = tx;
|
|
t->m[1][0] = 0; t->m[1][1] = 1; t->m[1][2] = ty;
|
|
t->m[2][0] = 0; t->m[2][1] = 0; t->m[2][2] = 1;
|
|
}
|
|
|
|
_X_EXPORT Bool
|
|
pict_f_transform_translate (struct pict_f_transform *forward,
|
|
struct pict_f_transform *reverse,
|
|
double tx, double ty)
|
|
{
|
|
struct pict_f_transform t;
|
|
|
|
pict_f_transform_init_translate (&t, tx, ty);
|
|
pict_f_transform_multiply (forward, &t, forward);
|
|
pict_f_transform_init_translate (&t, -tx, -ty);
|
|
pict_f_transform_multiply (reverse, reverse, &t);
|
|
return TRUE;
|
|
}
|
|
|
|
_X_EXPORT Bool
|
|
pict_f_transform_bounds (struct pict_f_transform *t, BoxPtr b)
|
|
{
|
|
struct pict_f_vector v[4];
|
|
int i;
|
|
int x1, y1, x2, y2;
|
|
|
|
v[0].v[0] = b->x1; v[0].v[1] = b->y1; v[0].v[2] = 1;
|
|
v[1].v[0] = b->x2; v[1].v[1] = b->y1; v[1].v[2] = 1;
|
|
v[2].v[0] = b->x2; v[2].v[1] = b->y2; v[2].v[2] = 1;
|
|
v[3].v[0] = b->x1; v[3].v[1] = b->y2; v[3].v[2] = 1;
|
|
for (i = 0; i < 4; i++)
|
|
{
|
|
if (!pict_f_transform_point (t, &v[i]))
|
|
return FALSE;
|
|
x1 = floor (v[i].v[0]);
|
|
y1 = floor (v[i].v[1]);
|
|
x2 = ceil (v[i].v[0]);
|
|
y2 = ceil (v[i].v[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;
|
|
}
|
|
}
|
|
return TRUE;
|
|
}
|
|
|
|
_X_EXPORT void
|
|
pict_f_transform_init_identity (struct pict_f_transform *t)
|
|
{
|
|
int i, j;
|
|
|
|
for (j = 0; j < 3; j++)
|
|
for (i = 0; i < 3; i++)
|
|
t->m[j][i] = i == j ? 1 : 0;
|
|
}
|