fa6a1df209
PictureTransformPoint computes homogeneous coordinates internally, but fails to handle intermediate values larger than 16.16. Use 64 bit intermediate values while computing the final result at 16.16 and only complain if that result is too large. PictureTransformIsIdentity was completely wrong -- it was not checking for identity transforms at all.
631 lines
15 KiB
C
631 lines
15 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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typedef xFixed_32_32 xFixed_34_30;
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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_34_30 v[3];
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xFixed_48_16 quo;
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for (j = 0; j < 3; j++)
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{
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v[j] = 0;
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for (i = 0; i < 3; i++)
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{
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partial = ((xFixed_32_32) transform->matrix[j][i] *
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(xFixed_32_32) vector->vector[i]);
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v[j] += partial >> 2;
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}
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}
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if (!v[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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quo = v[j] / (v[2] >> 16);
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if (quo > MAX_FIXED_48_16 || quo < MIN_FIXED_48_16)
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return FALSE;
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vector->vector[j] = (xFixed) quo;
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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 (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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!IsZero (t->matrix[2][2]));
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}
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_X_EXPORT Bool
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PictureTransformIsIntTranslate(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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|
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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)
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{
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struct pict_f_transform 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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double v = 0;
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for (o = 0; o < 3; o++)
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v += l->m[dy][o] * r->m[o][dx];
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d.m[dy][dx] = v;
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}
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*dst = d;
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}
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_X_EXPORT void
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pict_f_transform_init_scale (struct pict_f_transform *t, double sx, double sy)
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|
{
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t->m[0][0] = sx; t->m[0][1] = 0; t->m[0][2] = 0;
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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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}
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|
|
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_X_EXPORT Bool
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|
pict_f_transform_scale (struct pict_f_transform *forward,
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struct pict_f_transform *reverse,
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|
double sx, double sy)
|
|
{
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|
struct pict_f_transform t;
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|
|
|
if (sx == 0 || sy == 0)
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|
return FALSE;
|
|
|
|
pict_f_transform_init_scale (&t, sx, sy);
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|
pict_f_transform_multiply (forward, &t, forward);
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|
pict_f_transform_init_scale (&t, 1/sx, 1/sy);
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|
pict_f_transform_multiply (reverse, reverse, &t);
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|
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;
|
|
}
|