qssgutils.cpp

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// Copyright (C) 2008-2012 NVIDIA Corporation.
// Copyright (C) 2019 The Qt Company Ltd.
// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR GPL-3.0-only
 
#include "qssgutils_p.h"
 
#include <QtCore/QDir>
 
#include <cmath>
 
QT_BEGIN_NAMESPACE
 
float QSSGUtils::vec2::magnitude(const QVector2D &v)
{
    return ::sqrtf(v.x() * v.x() + v.y() * v.y());
}
 
bool QSSGUtils::vec3::isFinite(const QVector3D &v)
{
    return qIsFinite(v.x()) && qIsFinite(v.y()) && qIsFinite(v.z());
}
 
float QSSGUtils::vec3::magnitude(const QVector3D &v)
{
    return sqrtf(v.x() * v.x() + v.y() * v.y() + v.z() * v.z());
}
 
float QSSGUtils::vec3::magnitudeSquared(const QVector3D &v)
{
    return v.x() * v.x() + v.y() * v.y() + v.z() * v.z();
}
 
// This special normalize function normalizes a vector in place
// and returns the magnnitude (needed for compatiblity)
float QSSGUtils::vec3::normalize(QVector3D &v)
{
    const float m = QSSGUtils::vec3::magnitude(v);
    if (m > 0)
        v /= m;
    return m;
}
 
QVector3D QSSGUtils::mat33::transform(const QMatrix3x3 &m, const QVector3D &v)
{
    const QVector3D c0 = QVector3D(m(0, 0), m(1, 0), m(2, 0));
    const QVector3D c1 = QVector3D(m(0, 1), m(1, 1), m(2, 1));
    const QVector3D c2 = QVector3D(m(0, 2), m(1, 2), m(2, 2));
    return c0 * v.x() + c1 * v.y() + c2 * v.z();
}
 
QMatrix3x3 QSSGUtils::mat44::getUpper3x3(const QMatrix4x4 &m)
{
    const float values[9] = { m(0, 0), m(0, 1), m(0, 2), m(1, 0), m(1, 1), m(1, 2), m(2, 0), m(2, 1), m(2, 2) };
    return QMatrix3x3(values);
}
 
void QSSGUtils::mat44::normalize(QMatrix4x4 &m)
{
    QVector4D c0 = m.column(0);
    QVector4D c1 = m.column(1);
    QVector4D c2 = m.column(2);
    QVector4D c3 = m.column(3);
 
    c0.normalize();
    c1.normalize();
    c2.normalize();
    c3.normalize();
 
    m.setColumn(0, c0);
    m.setColumn(1, c1);
    m.setColumn(2, c2);
    m.setColumn(3, c3);
}
 
QVector3D QSSGUtils::mat44::rotate(const QMatrix4x4 &m, const QVector3D &v)
{
    const QVector4D tmp = QSSGUtils::mat44::rotate(m, QVector4D(v.x(), v.y(), v.z(), 1.0f));
    return QVector3D(tmp.x(), tmp.y(), tmp.z());
}
 
QVector4D QSSGUtils::mat44::rotate(const QMatrix4x4 &m, const QVector4D &v)
{
    return m.column(0) * v.x() + m.column(1) * v.y() + m.column(2) * v.z();
}
 
QVector3D QSSGUtils::mat44::transform(const QMatrix4x4 &m, const QVector3D &v)
{
    const QVector4D tmp = QSSGUtils::mat44::transform(m, QVector4D(v.x(), v.y(), v.z(), 1.0f));
    return QVector3D(tmp.x(), tmp.y(), tmp.z());
}
 
QVector4D QSSGUtils::mat44::transform(const QMatrix4x4 &m, const QVector4D &v)
{
    return m.column(0) * v.x() + m.column(1) * v.y() + m.column(2) * v.z() + m.column(3) * v.w();
}
 
QVector3D QSSGUtils::mat44::getPosition(const QMatrix4x4 &m)
{
    return QVector3D(m(0, 3), m(1, 3), m(2, 3));
}
 
QVector3D QSSGUtils::mat44::getScale(const QMatrix4x4 &m)
{
    const float scaleX = m.column(0).length();
    const float scaleY = m.column(1).length();
    const float scaleZ = m.column(2).length();
    return QVector3D(scaleX, scaleY, scaleZ);
}
 
bool QSSGUtils::quat::isFinite(const QQuaternion &q)
{
    return qIsFinite(q.x()) && qIsFinite(q.y()) && qIsFinite(q.z()) && qIsFinite(q.scalar());
}
 
float QSSGUtils::quat::magnitude(const QQuaternion &q)
{
    return std::sqrt(q.x() * q.x() + q.y() * q.y() + q.z() * q.z() + q.scalar() * q.scalar());
}
 
bool QSSGUtils::quat::isSane(const QQuaternion &q)
{
    const float unitTolerance = float(1e-2);
    return isFinite(q) && qAbs(magnitude(q) - 1) < unitTolerance;
}
 
bool QSSGUtils::quat::isUnit(const QQuaternion &q)
{
    const float unitTolerance = float(1e-4);
    return isFinite(q) && qAbs(magnitude(q) - 1) < unitTolerance;
}
 
QVector3D QSSGUtils::quat::rotated(const QQuaternion &q, const QVector3D &v)
{
    const float vx = 2.0f * v.x();
    const float vy = 2.0f * v.y();
    const float vz = 2.0f * v.z();
    const float w2 = q.scalar() * q.scalar() - 0.5f;
    const float dot2 = (q.x() * vx + q.y() * vy + q.z() * vz);
    return QVector3D((vx * w2 + (q.y() * vz - q.z() * vy) * q.scalar() + q.x() * dot2),
                     (vy * w2 + (q.z() * vx - q.x() * vz) * q.scalar() + q.y() * dot2),
                     (vz * w2 + (q.x() * vy - q.y() * vx) * q.scalar() + q.z() * dot2));
}
 
QVector3D QSSGUtils::quat::inverseRotated(const QQuaternion &q, const QVector3D &v)
{
    const float vx = 2.0f * v.x();
    const float vy = 2.0f * v.y();
    const float vz = 2.0f * v.z();
    const float w2 = q.scalar() * q.scalar() - 0.5f;
    const float dot2 = (q.x() * vx + q.y() * vy + q.z() * vz);
    return QVector3D((vx * w2 - (q.y() * vz - q.z() * vy) * q.scalar() + q.x() * dot2),
                     (vy * w2 - (q.z() * vx - q.x() * vz) * q.scalar() + q.y() * dot2),
                     (vz * w2 - (q.x() * vy - q.y() * vx) * q.scalar() + q.z() * dot2));
}
 
const char *nonNull(const char *src)
{
    return src == nullptr ? "" : src;
}
 
QColor QSSGUtils::color::linearTosRGB(const QVector4D &linearColorFactor)
{
    const QVector3D S1 = QVector3D(::sqrtf(linearColorFactor.x()), ::sqrtf(linearColorFactor.y()), ::sqrtf(linearColorFactor.z()));
    const QVector3D S2 = QVector3D(::sqrtf(S1.x()), ::sqrtf(S1.y()), ::sqrtf(S1.z()));
    const QVector3D S3 = QVector3D(::sqrtf(S2.x()), ::sqrtf(S2.y()), ::sqrtf(S2.z()));
    const QVector3D result(0.585122381f * S1 + 0.783140355f * S2 - 0.368262736f * S3);
    return QColor::fromRgbF(result.x(), result.y(), result.z(), linearColorFactor.w());
}
 
QVector4D QSSGUtils::color::sRGBToLinear(const QColor &color)
{
    const QVector3D rgb(color.redF(), color.greenF(), color.blueF());
    const float C1 = 0.305306011f;
    const QVector3D C2(0.682171111f, 0.682171111f, 0.682171111f);
    const QVector3D C3(0.012522878f, 0.012522878f, 0.012522878f);
    return QVector4D(rgb * (rgb * (rgb * C1 + C2) + C3), color.alphaF());
}
 
QColor QSSGUtils::color::sRGBToLinearColor(const QColor &color)
{
    const QVector4D c = sRGBToLinear(color);
    return QColor::fromRgbF(c.x(), c.y(), c.z(), c.w());
}
 
bool QSSGUtils::mat44::decompose(const QMatrix4x4 &transform, QVector3D &position, QVector3D &scale, QQuaternion &rotation)
{
    QMatrix4x4 m { transform };
    QSSGUtils::mat44::normalize(m);
 
    rotation = QQuaternion::fromRotationMatrix(QSSGUtils::mat44::getUpper3x3(m)).normalized();
    scale = QSSGUtils::mat44::getScale(transform);
    position = QSSGUtils::mat44::getPosition(transform);
 
    const auto det = m.determinant();
 
    return !qFuzzyIsNull(det);
}
 
QT_END_NAMESPACE