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+/****************************************************************************
+**
+** Copyright (C) 2016 Jolla Ltd, author: <gunnar.sletta@jollamobile.com>
+** Contact: https://www.qt.io/licensing/
+**
+** This file is part of the plugins module of the Qt Toolkit.
+**
+** $QT_BEGIN_LICENSE:LGPL$
+** Commercial License Usage
+** Licensees holding valid commercial Qt licenses may use this file in
+** accordance with the commercial license agreement provided with the
+** Software or, alternatively, in accordance with the terms contained in
+** a written agreement between you and The Qt Company. For licensing terms
+** and conditions see https://www.qt.io/terms-conditions. For further
+** information use the contact form at https://www.qt.io/contact-us.
+**
+** GNU Lesser General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU Lesser
+** General Public License version 3 as published by the Free Software
+** Foundation and appearing in the file LICENSE.LGPL3 included in the
+** packaging of this file. Please review the following information to
+** ensure the GNU Lesser General Public License version 3 requirements
+** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
+**
+** GNU General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU
+** General Public License version 2.0 or (at your option) the GNU General
+** Public license version 3 or any later version approved by the KDE Free
+** Qt Foundation. The licenses are as published by the Free Software
+** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
+** included in the packaging of this file. Please review the following
+** information to ensure the GNU General Public License requirements will
+** be met: https://www.gnu.org/licenses/gpl-2.0.html and
+** https://www.gnu.org/licenses/gpl-3.0.html.
+**
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+
+#include <qglobal.h>
+
+//
+// W A R N I N G
+// -------------
+//
+// This file is not part of the Qt API. It exists purely as an
+// implementation detail. This header file may change from version to
+// version without notice, or even be removed.
+//
+// We mean it.
+//
+
+QT_BEGIN_NAMESPACE
+
+struct QEvdevTouchFilter
+{
+ QEvdevTouchFilter();
+
+ void initialize(float pos, float velocity);
+ void update(float pos, float velocity, float timeDelta);
+
+ float position() const { return x.x; }
+ float velocity() const { return x.y; }
+
+private:
+ struct vec2 {
+ vec2(float x = 0.0f, float y = 0.0f) : x(x), y(y) { }
+ float x, y;
+
+ vec2 operator-(vec2 v) {
+ return vec2(x - v.x, y - v.y);
+ }
+
+ vec2 operator+(vec2 v) {
+ return vec2(x + v.x, y + v.y);
+ }
+ };
+
+ struct mat2 {
+ float a, b, c, d;
+ mat2(float a = 1.0f, float b = 0.0f, float c = 0.0f, float d = 1.0f)
+ : a(a)
+ , b(b)
+ , c(c)
+ , d(d)
+ {
+ }
+
+ mat2 transposed() const {
+ return mat2(a, c,
+ b, d);
+ }
+
+ mat2 inverted() const {
+ float det = 1.0f / (a * d - b * c);
+ return mat2( d * det, -b * det,
+ -c * det, a * det);
+ }
+
+ mat2 operator+(mat2 m) const {
+ return mat2(a + m.a, b + m.b,
+ c + m.c, d + m.d);
+ }
+
+ mat2 operator-(mat2 m) const {
+ return mat2(a - m.a, b - m.b,
+ c - m.c, d - m.d);
+ }
+
+ vec2 operator*(vec2 v) const {
+ return vec2(a * v.x + b * v.y,
+ c * v.x + d * v.y);
+ }
+
+ mat2 operator*(mat2 M) const {
+ return mat2(a * M.a + b * M.c,
+ a * M.b + b * M.d,
+ c * M.a + d * M.c,
+ c * M.b + d * M.d);
+ }
+ };
+
+ vec2 x;
+ mat2 A;
+ mat2 P;
+ mat2 Q;
+ mat2 R;
+ mat2 H;
+};
+
+inline QEvdevTouchFilter::QEvdevTouchFilter()
+{
+}
+
+inline void QEvdevTouchFilter::initialize(float pos, float velocity)
+{
+ x = vec2(pos, velocity);
+
+ P = mat2(0.0f, 0.0f,
+ 0.0f, 0.0f);
+
+ Q = mat2(0.0f, 0.0f,
+ 0.0f, 0.1f);
+ R = mat2(0.1f, 0.0f,
+ 0.0f, 0.1f);
+}
+
+inline void QEvdevTouchFilter::update(float pos, float velocity, float dT)
+{
+ A.b = dT;
+
+ // Prediction setp
+ x = A * x;
+ P = A * P * A.transposed() + Q;
+
+ // Correction step (complete with H)
+ // mat2 S = H * P * H.transposed() + R;
+ // mat2 K = P * H.transposed() * S.inverted();
+ // vec2 m(pos, velocity);
+ // vec2 y = m - H * x;
+ // x = x + K * y;
+ // P = (mat2() - K * H) * P;
+
+ // Correction step (without H as H is currently set to I, so we can ignore
+ // it in the calculations...)
+ mat2 S = P + R;
+ mat2 K = P * S.inverted();
+ vec2 m(pos, velocity);
+ vec2 y = m - x;
+ x = x + K * y;
+ P = (mat2() - K) * P;
+
+}
+
+QT_END_NAMESPACE