You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


#Qt第三方圆形进度条的改进
要实现一个圆形的进度条功能，在网上找到一个比较出名的第三方封装类：QRoundProgressBar，地址：[sourceforge 的 QRoundProgressBar](https://sourceforge.net/projects/qroundprogressbar/)
功能封装的还是不错，提供了3种模式，线形、圆环、饼状。使用过程中发现圆环进度条对背景透明支持不够完善，内圆的背景无法实现透明，为了解决此问题，下面对此控件进行了一些修订，实现完整的圆形进度条。

#QRoundProgressBar目前存在的不足

![](https://github.com/czyt1988/czyBlog/raw/master/tech/QRoundBarFix/pic/0.png)

QRoundProgressBar在带背景图片widget下使用StyleDonut样式时，内环背景无法透明

![](https://github.com/czyt1988/czyBlog/raw/master/tech/QRoundBarFix/pic/1.gif)

代码如下：
头文件:
```cpp
class DRoundProgressBar;
class QTimer;
namespace Ui {
class Widget;
}

class Widget : public QWidget
{
    Q_OBJECT

public:
    explicit Widget(QWidget *parent = 0);
    ~Widget();
public slots:
    void onTimeOut();
private:
    Ui::Widget *ui;
    QTimer* mTimer;
    DRoundProgressBar* mRoundBar;
    int mPresent;
};
```
cpp:
```cpp
#include "Widget.h"
#include "ui_Widget.h"
#include "DRoundProgressBar.h"
#include <QTimer>
Widget::Widget(QWidget *parent) :
    QWidget(parent),
    ui(new Ui::Widget)
{
    ui->setupUi(this);
    setAutoFillBackground(true);
    QPixmap img(":/img/BlueDialog_BK.png");
    QPalette bkPalette;
    bkPalette.setBrush(QPalette::Window,QBrush(img));
    setPalette(bkPalette);
    mRoundBar = new DRoundProgressBar(this);
    mRoundBar->setGeometry(150,100,500,500);
    mRoundBar->setBarStyle(DRoundProgressBar::StyleDonut);
    mRoundBar->setRange(0,100);
    QPalette palette;
    palette.setBrush(QPalette::Window,Qt::NoBrush);
    palette.setBrush(QPalette::AlternateBase,Qt::NoBrush);
    palette.setBrush(QPalette::Highlight,QBrush(QColor(0,140,255)));
    palette.setColor(QPalette::Text,QColor(0,0,0));
    //palette.setBrush(QPalette::Base,Qt::white);
    mRoundBar->setPalette(palette);
    mTimer = new QTimer(this);
    mTimer->setInterval(200);
    connect(mTimer,SIGNAL(timeout()),this,SLOT(onTimeOut()));
    mPresent = 0;
    mTimer->start();
}

Widget::~Widget()
{
    delete ui;
}

void Widget::onTimeOut()
{
    ++mPresent;
    if(mPresent >= 100)
    {
        mPresent = 0;
    }
    mRoundBar->setValue(mPresent);
}
```

这里把QPalette::Window和QPalette::AlternateBase设置为透明，发现无法绘制圆环

## 原因
查看代码，看看其绘制圆环的步骤
```cpp
void QRoundProgressBar::drawValue(QPainter &p, const QRectF &baseRect, double value, double arcLength)
{
    // nothing to draw
    if (value == m_min)
        return;

    // for Line style
    if (m_barStyle == StyleLine)
    {
        p.setPen(QPen(palette().highlight().color(), m_dataPenWidth));
        p.setBrush(Qt::NoBrush);
        p.drawArc(baseRect.adjusted(m_outlinePenWidth/2, m_outlinePenWidth/2, -m_outlinePenWidth/2, -m_outlinePenWidth/2),
                  m_nullPosition * 16,
                  -arcLength * 16);
        return;
    }

    // for Pie and Donut styles

    QPainterPath dataPath;
    dataPath.setFillRule(Qt::WindingFill);

    // pie segment outer
    dataPath.moveTo(baseRect.center());
    dataPath.arcTo(baseRect, m_nullPosition, -arcLength);
    dataPath.lineTo(baseRect.center());

    p.setBrush(palette().highlight());
    p.setPen(QPen(palette().shadow().color(), m_dataPenWidth));
    p.drawPath(dataPath);
}
```
发现绘制圆环和绘制pie是一个代码，而实现圆环只不过是用一个背景覆盖上去了，这样，如果让中间区域透明就会显示画的那个扇形的那一部分(原来作者是得多懒-_-#)。
因此。在绘制圆环时需要特殊对待，`QPainterPath`在画圆环时把圆环填充。

## 改进

这里需要把原来的`drawValue`函数进行修正，原来`drawValue`函数对绘制pie和绘制Donut styles是一样处理，这里修正为pie就画pie，画Donut styles就画圆环：
为了绘制圆环，`drawValue`函数需添加两个变量，是内环的对应的矩形和半径
```cpp
virtual void drawValue(QPainter& p, const QRectF& baseRect, double value, double arcLength, const QRectF & innerRect, double innerRadius);
```
改动后的cpp
```cpp
void QRoundProgressBar::drawValue(QPainter &p
                                  , const QRectF &baseRect
                                  , double value
                                  , double arcLength
                                  , const QRectF & innerRect
                                  , double innerRadius)
{
    // nothing to draw
    if (value == m_min)
        return;

    // for Line style
    if (m_barStyle == StyleLine)
    {
        p.setPen(QPen(palette().highlight().color(), m_dataPenWidth));
        p.setBrush(Qt::NoBrush);
        p.drawArc(baseRect.adjusted(m_outlinePenWidth/2, m_outlinePenWidth/2, -m_outlinePenWidth/2, -m_outlinePenWidth/2),
                  m_nullPosition * 16,
                  -arcLength * 16);
        return;
    }

    // for Pie and Donut styles
    QPainterPath dataPath;
    dataPath.setFillRule(Qt::WindingFill);
    dataPath.moveTo(baseRect.center());
    dataPath.arcTo(baseRect, m_nullPosition, -arcLength);//大家都是先绘制外圆的弧长
    if(m_barStyle == StylePie)
    {

        // pie segment outer
        dataPath.lineTo(baseRect.center());

        p.setPen(QPen(palette().shadow().color(), m_dataPenWidth));
    }
    if(m_barStyle == StyleDonut)
    {
        // draw dount outer
        QPointF currentPoint = dataPath.currentPosition();//绘制完外圆弧长后，获取绘制完的位置绘制一个直线到达内圆
        currentPoint = baseRect.center() + ((currentPoint - baseRect.center()) * m_innerOuterRate;//计算内圆的坐标点，m_innerOuterRate替代了原作者写的0.75，代表内圆是外圆的0.75倍
        dataPath.lineTo(currentPoint);//绘制外圆到内圆的直线
        dataPath.moveTo(baseRect.center());//坐标点回到中心准备绘制内圆弧形
        dataPath.arcTo(innerRect, m_nullPosition-arcLength, arcLength);//绘制内圆的弧形
        currentPoint = dataPath.currentPosition();//准备绘制内圆到外圆的直线，形成封闭区域
        currentPoint = baseRect.center() + ((currentPoint - baseRect.center()) * (2-m_innerOuterRate));//绘制内圆到外圆的直线，这里2-m_innerOuterRate其实是对应(1 + (1 -m_innerOuterRate))的
        dataPath.lineTo(currentPoint);
        p.setPen(Qt::NoPen);//这个很重要不然就会有绘制过程的一些轮廓了
    }
    p.setBrush(palette().highlight());
    p.drawPath(dataPath);
}
```
具体过程见代码的注释。

这里作者把内圆直径定死为外圆的0.75倍，我觉得这样失去了灵活性，因此加入了一个float变量，m_innerOuterRate，默认为0.75，替代原来的0.75常数，并加入方法`float innerOuterRate() const`和`void setInnerOuterRate(float r)`进行设置

原来的`paintEvent`函数的函数顺序也需要改变：

下面是原来的paintEvent函数：
```cpp
void QRoundProgressBar::paintEvent(QPaintEvent* /*event*/)
{
    double outerRadius = qMin(width(), height());
    QRectF baseRect(1, 1, outerRadius-2, outerRadius-2);

    QImage buffer(outerRadius, outerRadius, QImage::Format_ARGB32_Premultiplied);

    QPainter p(&buffer);
    p.setRenderHint(QPainter::Antialiasing);

    // data brush
    rebuildDataBrushIfNeeded();

    // background
    drawBackground(p, buffer.rect());

    // base circle
    drawBase(p, baseRect);

    // data circle
    double arcStep = 360.0 / (m_max - m_min) * m_value;
    drawValue(p, baseRect, m_value, arcStep);

    // center circle
    double innerRadius(0);
    QRectF innerRect;
    calculateInnerRect(baseRect, outerRadius, innerRect, innerRadius);
    drawInnerBackground(p, innerRect);

    // text
    drawText(p, innerRect, innerRadius, m_value);

    // finally draw the bar
    p.end();

    QPainter painter(this);
    painter.fillRect(baseRect, palette().background());
    painter.drawImage(0,0, buffer);
}
```

原来作者使用了QImage作为缓存，但qt自带双缓冲，这一步没有必要(用QImage时在ubuntu还有小问题，在控件比较小时(200*200以下)会出现花屏现象，原因未知),修改为：

```cpp

void QRoundProgressBar::paintEvent(QPaintEvent* /*event*/)
{
    double outerRadius = qMin(width(), height());
    QRectF baseRect(1, 1, outerRadius-2, outerRadius-2);

    QPainter p(this);
    p.setRenderHint(QPainter::Antialiasing);

    // data brush
    rebuildDataBrushIfNeeded();

    // background
    drawBackground(p, rect());
    double innerRadius(0);
    QRectF innerRect;
    calculateInnerRect(baseRect, outerRadius, innerRect, innerRadius);
    double arcStep = 360.0 / (m_max - m_min) * m_value;
    // base circle
    drawBase(p, baseRect,innerRect);

    // data circle

    drawValue(p, baseRect, m_value, arcStep,innerRect, innerRadius);

    // center circle

    drawInnerBackground(p, innerRect);

    // text
    drawText(p, innerRect, innerRadius, m_value);

    // finally draw the bar
    p.end();
}
```

主要是把`calculateInnerRect(baseRect, outerRadius, innerRect, innerRadius);`函数提前计算出内圆对应的参数。并传入给新修改的`drawValue`函数。把多余的双缓冲机制去掉.

此时效果还未达到需求的效果，发现`drawBase`函数还需要修改，原来的`drawBase`函数如下：

```cpp
void QRoundProgressBar::drawBase(QPainter &p, const QRectF &baseRect)
{
    switch (m_barStyle)
    {
    case StyleDonut:
        p.setPen(QPen(palette().shadow().color(), m_outlinePenWidth));
        p.setBrush(palette().base());
        p.drawEllipse(baseRect);
        break;

    case StylePie:
        p.setPen(QPen(palette().base().color(), m_outlinePenWidth));
        p.setBrush(palette().base());
        p.drawEllipse(baseRect);
        break;

    case StyleLine:
        p.setPen(QPen(palette().base().color(), m_outlinePenWidth));
        p.setBrush(Qt::NoBrush);
        p.drawEllipse(baseRect.adjusted(m_outlinePenWidth/2, m_outlinePenWidth/2, -m_outlinePenWidth/2, -m_outlinePenWidth/2));
        break;

    default:;
    }
}
```

上面的`drawBase`函数可见，由于原作者比较懒，对于Donut styles模式就直接画了一个外圆，并不是一个空心圆环，改进如下：

```cpp
void QRoundProgressBar::drawBase(QPainter &p, const QRectF &baseRect,const QRectF &innerRect)
{
    switch (m_barStyle)
    {
    case StyleDonut:
    {
        QPainterPath dataPath;
        dataPath.setFillRule(Qt::OddEvenFill);
        dataPath.moveTo(baseRect.center());
        dataPath.addEllipse(baseRect);
        dataPath.addEllipse(innerRect);
        p.setPen(QPen(palette().shadow().color(), m_outlinePenWidth));
        p.setBrush(palette().base());
        p.drawPath(dataPath);
        break;
    }
    case StylePie:
        p.setPen(QPen(palette().base().color(), m_outlinePenWidth));
        p.setBrush(palette().base());
        p.drawEllipse(baseRect);
        break;

    case StyleLine:
        p.setPen(QPen(palette().base().color(), m_outlinePenWidth));
        p.setBrush(Qt::NoBrush);
        p.drawEllipse(baseRect.adjusted(m_outlinePenWidth/2, m_outlinePenWidth/2, -m_outlinePenWidth/2, -m_outlinePenWidth/2));
        break;
    default:;
    }
}
```
最后运行效果：

![](https://github.com/czyt1988/czyBlog/raw/master/tech/QRoundBarFix/pic/2.gif)

代码见:[czyt1988的github](https://github.com/czyt1988/czyBlog/tree/master/tech/QRoundBarFix)