gecko-dev/gfx/thebes/gfxMatrix.h

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/* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 4 -*-
* ***** BEGIN LICENSE BLOCK *****
* Version: MPL 1.1/GPL 2.0/LGPL 2.1
*
* The contents of this file are subject to the Mozilla Public License Version
* 1.1 (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* Software distributed under the License is distributed on an "AS IS" basis,
* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
* for the specific language governing rights and limitations under the
* License.
*
* The Original Code is Oracle Corporation code.
*
* The Initial Developer of the Original Code is Oracle Corporation.
* Portions created by the Initial Developer are Copyright (C) 2005
* the Initial Developer. All Rights Reserved.
*
* Contributor(s):
* Stuart Parmenter <pavlov@pavlov.net>
*
* Alternatively, the contents of this file may be used under the terms of
* either the GNU General Public License Version 2 or later (the "GPL"), or
* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
* in which case the provisions of the GPL or the LGPL are applicable instead
* of those above. If you wish to allow use of your version of this file only
* under the terms of either the GPL or the LGPL, and not to allow others to
* use your version of this file under the terms of the MPL, indicate your
* decision by deleting the provisions above and replace them with the notice
* and other provisions required by the GPL or the LGPL. If you do not delete
* the provisions above, a recipient may use your version of this file under
* the terms of any one of the MPL, the GPL or the LGPL.
*
* ***** END LICENSE BLOCK ***** */
#ifndef GFX_MATRIX_H
#define GFX_MATRIX_H
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#include "gfxPoint.h"
#include "gfxTypes.h"
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#include "gfxRect.h"
#include "nsMathUtils.h"
// XX - I don't think this class should use gfxFloat at all,
// but should use 'double' and be called gfxDoubleMatrix;
// we can then typedef that to gfxMatrix where we typedef
// double to be gfxFloat.
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/**
* A matrix that represents an affine transformation. Projective
* transformations are not supported. This matrix looks like:
*
* / a b 0 \
* | c d 0 |
* \ tx ty 1 /
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*
* So, transforming a point (x, y) results in:
*
* / a b 0 \ / a * x + c * y + tx \ T
* (x y 1) * | c d 0 | = | b * x + d * y + ty |
* \ tx ty 1 / \ 1 /
*
*/
struct THEBES_API gfxMatrix {
double xx; double yx;
double xy; double yy;
double x0; double y0;
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public:
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/**
* Initializes this matrix as the identity matrix.
*/
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gfxMatrix() { Reset(); }
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/**
* Initializes the matrix from individual components. See the class
* description for the layout of the matrix.
*/
gfxMatrix(gfxFloat a, gfxFloat b, gfxFloat c, gfxFloat d, gfxFloat tx, gfxFloat ty) :
xx(a), yx(b),
xy(c), yy(d),
x0(tx), y0(ty) { }
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/**
* Post-multiplies m onto the matrix.
*/
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const gfxMatrix& operator *= (const gfxMatrix& m) {
return Multiply(m);
}
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/**
* Multiplies *this with m and returns the result.
*/
gfxMatrix operator * (const gfxMatrix& m) const {
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return gfxMatrix(*this).Multiply(m);
}
// matrix operations
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/**
* Resets this matrix to the identity matrix.
*/
const gfxMatrix& Reset();
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/**
* Inverts this matrix, if possible. Otherwise, the matrix is left
* unchanged.
*
* XXX should this do something with the return value of
* cairo_matrix_invert?
*/
const gfxMatrix& Invert();
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/**
* Check if matrix is singular (no inverse exists).
*/
PRBool IsSingular() const {
// if the determinant (ad - bc) is zero it's singular
return (xx * yy) == (yx * xy);
}
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/**
* Scales this matrix. The scale is pre-multiplied onto this matrix,
* i.e. the scaling takes place before the other transformations.
*/
const gfxMatrix& Scale(gfxFloat x, gfxFloat y);
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/**
* Translates this matrix. The translation is pre-multiplied onto this matrix,
* i.e. the translation takes place before the other transformations.
*/
const gfxMatrix& Translate(const gfxPoint& pt);
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/**
* Rotates this matrix. The rotation is pre-multiplied onto this matrix,
* i.e. the translation takes place after the other transformations.
*
* @param radians Angle in radians.
*/
const gfxMatrix& Rotate(gfxFloat radians);
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/**
* Multiplies the current matrix with m.
* This is a post-multiplication, i.e. the transformations of m are
* applied _after_ the existing transformations.
*
* XXX is that difference (compared to Rotate etc) a good thing?
*/
const gfxMatrix& Multiply(const gfxMatrix& m);
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/**
* Multiplies the current matrix with m.
* This is a pre-multiplication, i.e. the transformations of m are
* applied _before_ the existing transformations.
*/
const gfxMatrix& PreMultiply(const gfxMatrix& m);
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/**
* Transforms a point according to this matrix.
*/
gfxPoint Transform(const gfxPoint& point) const;
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/**
* Transform a distance according to this matrix. This does not apply
* any translation components.
*/
gfxSize Transform(const gfxSize& size) const;
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/**
* Transforms both the point and distance according to this matrix.
*/
gfxRect Transform(const gfxRect& rect) const;
gfxRect TransformBounds(const gfxRect& rect) const;
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/**
* Returns the translation component of this matrix.
*/
gfxPoint GetTranslation() const {
return gfxPoint(x0, y0);
}
/**
* Returns true if the matrix is anything other than a straight
* translation by integers.
*/
PRBool HasNonIntegerTranslation() const {
return HasNonTranslation() ||
!FuzzyEqual(x0, NS_floor(x0 + 0.5)) ||
!FuzzyEqual(y0, NS_floor(y0 + 0.5));
}
/**
* Returns true if the matrix has any transform other
* than a straight translation
*/
PRBool HasNonTranslation() const {
return !FuzzyEqual(xx, 1.0) || !FuzzyEqual(yy, 1.0) ||
!FuzzyEqual(xy, 0.0) || !FuzzyEqual(yx, 0.0);
}
/**
* Returns true if the matrix only has an integer translation.
*/
PRBool HasOnlyIntegerTranslation() const {
return !HasNonIntegerTranslation();
}
/**
* Returns true if the matrix has any transform other
* than a translation or a -1 y scale (y axis flip)
*/
PRBool HasNonTranslationOrFlip() const {
return !FuzzyEqual(xx, 1.0) ||
(!FuzzyEqual(yy, 1.0) && !FuzzyEqual(yy, -1.0)) ||
!FuzzyEqual(xy, 0.0) || !FuzzyEqual(yx, 0.0);
}
/**
* Returns true if the matrix has any transform other
* than a translation or scale; this is, if there is
* no rotation.
*/
PRBool HasNonAxisAlignedTransform() const {
return !FuzzyEqual(xy, 0.0) || !FuzzyEqual(yx, 0.0);
}
/**
* Computes the determinant of this matrix.
*/
double Determinant() const {
return xx*yy - yx*xy;
}
/* Computes the scale factors of this matrix; that is,
* the amounts each basis vector is scaled by.
* The xMajor parameter indicates if the larger scale is
* to be assumed to be in the X direction or not.
*/
gfxSize ScaleFactors(PRBool xMajor) const {
double det = Determinant();
if (det == 0.0)
return gfxSize(0.0, 0.0);
gfxSize sz((xMajor != 0 ? 1.0 : 0.0),
(xMajor != 0 ? 0.0 : 1.0));
sz = Transform(sz);
double major = sqrt(sz.width * sz.width + sz.height * sz.height);
double minor = 0.0;
// ignore mirroring
if (det < 0.0)
det = - det;
if (major)
minor = det / major;
if (xMajor)
return gfxSize(major, minor);
return gfxSize(minor, major);
}
/**
* Snap matrix components that are close to integers
* to integers. In particular, components that are integral when
* converted to single precision are set to those integers.
*/
void NudgeToIntegers(void);
/**
* Returns true if matrix is multiple of 90 degrees rotation with flipping,
* scaling and translation.
*/
PRBool PreservesAxisAlignedRectangles() const {
return ((FuzzyEqual(xx, 0.0) && FuzzyEqual(yy, 0.0))
|| (FuzzyEqual(xy, 0.0) && FuzzyEqual(yx, 0.0)));
}
/**
* Returns true if the matrix has non-integer scale
*/
PRBool HasNonIntegerScale() const {
return !FuzzyEqual(xx, NS_floor(xx + 0.5)) ||
!FuzzyEqual(yy, NS_floor(yy + 0.5));
}
private:
static PRBool FuzzyEqual(gfxFloat aV1, gfxFloat aV2) {
return fabs(aV2 - aV1) < 1e-6;
}
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};
#endif /* GFX_MATRIX_H */