From 1a299a9631a2d1b4e07cedfece7af5318a766fe6 Mon Sep 17 00:00:00 2001 From: Rhys Weatherley Date: Mon, 26 Oct 2009 10:36:45 +1000 Subject: Optimize QGraphicsRotation's use of QMatrix4x4 Previous code was creating a full 3D rotation matrix and then projecting back to 2D. This change combines the two steps into one to avoid calculating matrix components that will be dropped. Reviewed-by: Sarah Smith --- src/gui/graphicsview/qgraphicstransform.cpp | 4 +- src/gui/math3d/qmatrix4x4.cpp | 108 ++++++++++++++++++++- src/gui/math3d/qmatrix4x4.h | 4 + .../qgraphicstransform/tst_qgraphicstransform.cpp | 69 ++++++++++++- 4 files changed, 179 insertions(+), 6 deletions(-) diff --git a/src/gui/graphicsview/qgraphicstransform.cpp b/src/gui/graphicsview/qgraphicstransform.cpp index a0b5493..93dc196 100644 --- a/src/gui/graphicsview/qgraphicstransform.cpp +++ b/src/gui/graphicsview/qgraphicstransform.cpp @@ -547,9 +547,7 @@ void QGraphicsRotation::applyTo(QMatrix4x4 *matrix) const return; matrix->translate(d->origin); - QMatrix4x4 m; - m.rotate(d->angle, d->axis.x(), d->axis.y(), d->axis.z()); - *matrix *= m.toTransform(1024.0f); // Project back to 2D. + matrix->projectedRotate(d->angle, d->axis.x(), d->axis.y(), d->axis.z()); matrix->translate(-d->origin); } diff --git a/src/gui/math3d/qmatrix4x4.cpp b/src/gui/math3d/qmatrix4x4.cpp index 00e8f15..fa3826f 100644 --- a/src/gui/math3d/qmatrix4x4.cpp +++ b/src/gui/math3d/qmatrix4x4.cpp @@ -58,6 +58,8 @@ QT_BEGIN_NAMESPACE \sa QVector3D, QGenericMatrix */ +static const qreal inv_dist_to_plane = 1. / 1024.; + /*! \fn QMatrix4x4::QMatrix4x4() @@ -1103,6 +1105,110 @@ QMatrix4x4& QMatrix4x4::rotate(qreal angle, qreal x, qreal y, qreal z) return *this; } +/*! + \internal +*/ +QMatrix4x4& QMatrix4x4::projectedRotate(qreal angle, qreal x, qreal y, qreal z) +{ + // Used by QGraphicsRotation::applyTo() to perform a rotation + // and projection back to 2D in a single step. + if (angle == 0.0f) + return *this; + QMatrix4x4 m(1); // The "1" says to not load the identity. + qreal c, s, ic; + if (angle == 90.0f || angle == -270.0f) { + s = 1.0f; + c = 0.0f; + } else if (angle == -90.0f || angle == 270.0f) { + s = -1.0f; + c = 0.0f; + } else if (angle == 180.0f || angle == -180.0f) { + s = 0.0f; + c = -1.0f; + } else { + qreal a = angle * M_PI / 180.0f; + c = qCos(a); + s = qSin(a); + } + bool quick = false; + if (x == 0.0f) { + if (y == 0.0f) { + if (z != 0.0f) { + // Rotate around the Z axis. + m.setIdentity(); + m.m[0][0] = c; + m.m[1][1] = c; + if (z < 0.0f) { + m.m[1][0] = s; + m.m[0][1] = -s; + } else { + m.m[1][0] = -s; + m.m[0][1] = s; + } + m.flagBits = General; + quick = true; + } + } else if (z == 0.0f) { + // Rotate around the Y axis. + m.setIdentity(); + m.m[0][0] = c; + m.m[2][2] = 1.0f; + if (y < 0.0f) { + m.m[0][3] = -s * inv_dist_to_plane; + } else { + m.m[0][3] = s * inv_dist_to_plane; + } + m.flagBits = General; + quick = true; + } + } else if (y == 0.0f && z == 0.0f) { + // Rotate around the X axis. + m.setIdentity(); + m.m[1][1] = c; + m.m[2][2] = 1.0f; + if (x < 0.0f) { + m.m[1][3] = s * inv_dist_to_plane; + } else { + m.m[1][3] = -s * inv_dist_to_plane; + } + m.flagBits = General; + quick = true; + } + if (!quick) { + qreal len = x * x + y * y + z * z; + if (!qFuzzyIsNull(len - 1.0f) && !qFuzzyIsNull(len)) { + len = qSqrt(len); + x /= len; + y /= len; + z /= len; + } + ic = 1.0f - c; + m.m[0][0] = x * x * ic + c; + m.m[1][0] = x * y * ic - z * s; + m.m[2][0] = 0.0f; + m.m[3][0] = 0.0f; + m.m[0][1] = y * x * ic + z * s; + m.m[1][1] = y * y * ic + c; + m.m[2][1] = 0.0f; + m.m[3][1] = 0.0f; + m.m[0][2] = 0.0f; + m.m[1][2] = 0.0f; + m.m[2][2] = 1.0f; + m.m[3][2] = 0.0f; + m.m[0][3] = (x * z * ic - y * s) * -inv_dist_to_plane; + m.m[1][3] = (y * z * ic + x * s) * -inv_dist_to_plane; + m.m[2][3] = 0.0f; + m.m[3][3] = 1.0f; + } + int flags = flagBits; + *this *= m; + if (flags != Identity) + flagBits = flags | Rotation; + else + flagBits = Rotation; + return *this; +} + #ifndef QT_NO_VECTOR4D /*! @@ -1448,8 +1554,6 @@ QTransform QMatrix4x4::toTransform() const m[3][0], m[3][1], m[3][3]); } -static const qreal inv_dist_to_plane = 1. / 1024.; - /*! Returns the conventional Qt 2D transformation matrix that corresponds to this matrix. diff --git a/src/gui/math3d/qmatrix4x4.h b/src/gui/math3d/qmatrix4x4.h index 42d992e..ba74b89 100644 --- a/src/gui/math3d/qmatrix4x4.h +++ b/src/gui/math3d/qmatrix4x4.h @@ -207,6 +207,10 @@ private: QMatrix4x4(int) { flagBits = General; } QMatrix4x4 orthonormalInverse() const; + + QMatrix4x4& projectedRotate(qreal angle, qreal x, qreal y, qreal z); + + friend class QGraphicsRotation; }; inline QMatrix4x4::QMatrix4x4 diff --git a/tests/auto/qgraphicstransform/tst_qgraphicstransform.cpp b/tests/auto/qgraphicstransform/tst_qgraphicstransform.cpp index eb5c099..d8ab06e 100644 --- a/tests/auto/qgraphicstransform/tst_qgraphicstransform.cpp +++ b/tests/auto/qgraphicstransform/tst_qgraphicstransform.cpp @@ -59,6 +59,8 @@ private slots: void rotation(); void rotation3d_data(); void rotation3d(); + void rotation3dArbitraryAxis_data(); + void rotation3dArbitraryAxis(); }; @@ -88,7 +90,7 @@ static QTransform transform2D(const QGraphicsTransform& t) { QMatrix4x4 m; t.applyTo(&m); - return m.toTransform(0); + return m.toTransform(); } void tst_QGraphicsTransform::scale() @@ -255,6 +257,19 @@ void tst_QGraphicsTransform::rotation3d() QVERIFY(fuzzyCompare(transform2D(rotation), expected)); + // Check that "rotation" produces the 4x4 form of the 3x3 matrix. + // i.e. third row and column are 0 0 1 0. + t.setIdentity(); + rotation.applyTo(&t); + QMatrix4x4 r(expected); + if (sizeof(qreal) == sizeof(float) && angle == 268) { + // This test fails, on only this angle, when qreal == float + // because the deg2rad value in QTransform is not accurate + // enough to match what QMatrix4x4 is doing. + } else { + QVERIFY(qFuzzyCompare(t, r)); + } + //now let's check that a null vector will not change the transform rotation.setAxis(QVector3D(0, 0, 0)); rotation.setOrigin(QVector3D(10, 10, 0)); @@ -276,6 +291,58 @@ void tst_QGraphicsTransform::rotation3d() QVERIFY(transform2D(rotation).isIdentity()); } +void tst_QGraphicsTransform::rotation3dArbitraryAxis_data() +{ + QTest::addColumn("axis"); + QTest::addColumn("angle"); + + QVector3D axis1 = QVector3D(1.0f, 1.0f, 1.0f); + QVector3D axis2 = QVector3D(2.0f, -3.0f, 0.5f); + QVector3D axis3 = QVector3D(-2.0f, 0.0f, -0.5f); + QVector3D axis4 = QVector3D(0.0001f, 0.0001f, 0.0001f); + QVector3D axis5 = QVector3D(0.01f, 0.01f, 0.01f); + + for (int angle = 0; angle <= 360; angle++) { + QTest::newRow("test rotation on (1, 1, 1)") << axis1 << qreal(angle); + QTest::newRow("test rotation on (2, -3, .5)") << axis2 << qreal(angle); + QTest::newRow("test rotation on (-2, 0, -.5)") << axis3 << qreal(angle); + QTest::newRow("test rotation on (.0001, .0001, .0001)") << axis4 << qreal(angle); + QTest::newRow("test rotation on (.01, .01, .01)") << axis5 << qreal(angle); + } +} + +void tst_QGraphicsTransform::rotation3dArbitraryAxis() +{ + QFETCH(QVector3D, axis); + QFETCH(qreal, angle); + + QGraphicsRotation rotation; + rotation.setAxis(axis); + + QMatrix4x4 t; + rotation.applyTo(&t); + + QVERIFY(t.isIdentity()); + QVERIFY(transform2D(rotation).isIdentity()); + + rotation.setAngle(angle); + + // Compute the expected answer using QMatrix4x4 and a projection. + // These two steps are performed in one hit by QGraphicsRotation. + QMatrix4x4 exp; + exp.rotate(angle, axis); + QTransform expected = exp.toTransform(1024.0f); + + QVERIFY(fuzzyCompare(transform2D(rotation), expected)); + + // Check that "rotation" produces the 4x4 form of the 3x3 matrix. + // i.e. third row and column are 0 0 1 0. + t.setIdentity(); + rotation.applyTo(&t); + QMatrix4x4 r(expected); + QVERIFY(qFuzzyCompare(t, r)); +} + QTEST_MAIN(tst_QGraphicsTransform) #include "tst_qgraphicstransform.moc" -- cgit v0.12 6bb3d'>bug_857686bb3d Tk is a free and open-source, cross-platform widget toolkit that provides a library of basic elements of GUI widgets for building a graphical user interface (GUI) in many programming languages.
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