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| 1 | +#include <math.h> |
| 2 | +#include <QApplication> |
| 3 | +#include <QImage> |
| 4 | +#include <QPainter> |
| 5 | +#include <QPixmap> |
| 6 | + |
| 7 | +void drawPoint (QPainter *paint, |
| 8 | + const QColor &color, |
| 9 | + double x, |
| 10 | + double y, |
| 11 | + double axisLinewidth, |
| 12 | + int size) |
| 13 | +{ |
| 14 | + QPen penOld = paint->pen(); |
| 15 | + QBrush brushOld = paint->brush(); |
| 16 | + |
| 17 | + double radius = axisLinewidth * 3.0; |
| 18 | + |
| 19 | + if (size < 32) { |
| 20 | + // Hack - at the start, line is too thick vertically so remove some pixels |
| 21 | + if (x == 4) { |
| 22 | + paint->setPen (Qt::white); |
| 23 | + paint->drawLine (QPointF (3, 11), |
| 24 | + QPointF (4, 11)); |
| 25 | + |
| 26 | + paint->setPen (color); |
| 27 | + paint->setBrush (Qt::NoBrush); |
| 28 | + |
| 29 | + paint->drawLine (QPointF (x, y), |
| 30 | + QPointF (x + 2, y)); |
| 31 | + paint->drawLine (QPointF (x + 1, y - 1), |
| 32 | + QPointF (x + 1, y + 1)); |
| 33 | + } else { |
| 34 | + paint->setPen (color); |
| 35 | + paint->setBrush (Qt::NoBrush); |
| 36 | + |
| 37 | + paint->drawLine (QPointF (x - 1, y), |
| 38 | + QPointF (x + 1, y)); |
| 39 | + paint->drawLine (QPointF (x, y - 1), |
| 40 | + QPointF (x, y + 1)); |
| 41 | + } |
| 42 | + } else { |
| 43 | + |
| 44 | + paint->setPen (Qt::NoPen); |
| 45 | + paint->setBrush (color); |
| 46 | + |
| 47 | + QPolygon polygon; |
| 48 | + polygon.append (QPoint (x + radius, y)); |
| 49 | + polygon.append (QPoint (x, y - radius)); |
| 50 | + polygon.append (QPoint (x - radius, y)); |
| 51 | + polygon.append (QPoint (x, y + radius)); |
| 52 | + polygon.append (QPoint (x + radius, y)); |
| 53 | + paint->drawPolygon(polygon); |
| 54 | + } |
| 55 | + |
| 56 | + paint->setPen (penOld); |
| 57 | + paint->setBrush (brushOld); |
| 58 | +} |
| 59 | + |
| 60 | + |
| 61 | +int main(int , char **) |
| 62 | +{ |
| 63 | + for (int size = 16; size <= 256; size *= 2) { |
| 64 | + |
| 65 | + int numAxisPoints = (size > 32 ? 5 : 4); |
| 66 | + int numCurvePoints = (size > 32 ? 4 : 3); |
| 67 | + double axisLinewidth = pow ((double) size, 0.8) / 16.0; |
| 68 | + double curveLinewidth = 1.5 * pow ((double) size / 16.0, 0.5); |
| 69 | + double margin = size / 8.0; |
| 70 | + double ticHalfHeight = size * 4.0 / 200.0; |
| 71 | + if (size == 32) ticHalfHeight *= 2; // Hack |
| 72 | + double pixelsPerCurvePoint = fmax (1, size / 32.0); |
| 73 | + |
| 74 | + double xCurveMin = 2 * margin; |
| 75 | + double xCurveMax = size - margin; |
| 76 | + double yCurveMin = 2 * margin; |
| 77 | + double yCurveMax = size - margin; |
| 78 | + double xAxisMin = margin; |
| 79 | + double xAxisMax = size - margin; |
| 80 | + double yAxisMin = margin; |
| 81 | + double yAxisMax = size - margin; |
| 82 | + double xOffsetMax = xCurveMax - xCurveMin; |
| 83 | + double yOffsetMax = yCurveMax - yCurveMin; |
| 84 | + |
| 85 | + QImage *img = new QImage (size, size, QImage::Format_ARGB32_Premultiplied); |
| 86 | + img->fill (QColor (Qt::white)); |
| 87 | + |
| 88 | + QPainter *paint = new QPainter (img); |
| 89 | + paint->begin(img); |
| 90 | + paint->setPen (QPen (QBrush (Qt::black), axisLinewidth)); |
| 91 | + |
| 92 | + // X and y axes |
| 93 | + paint->drawLine (QPointF (margin, size - margin), |
| 94 | + QPointF (size - margin, size - margin)); |
| 95 | + paint->drawLine (QPointF (margin, size - margin), |
| 96 | + QPointF (margin, margin)); |
| 97 | + |
| 98 | + paint->setRenderHint (QPainter::Antialiasing, true); |
| 99 | + |
| 100 | + // Quadratic line from (2*margin,size-2*margin) to (size-margin,margin) |
| 101 | + QPolygonF curve; |
| 102 | + int numCurveSteps = (xCurveMax - xCurveMin) / pixelsPerCurvePoint; |
| 103 | + for (int ic = 0; ic < numCurveSteps; ic++) { |
| 104 | + |
| 105 | + double x = xCurveMin + ic * pixelsPerCurvePoint; |
| 106 | + |
| 107 | + double xOffset = x - xCurveMin; |
| 108 | + double yOffset = yOffsetMax * xOffset * xOffset / (xOffsetMax * xOffsetMax); |
| 109 | + double y = size - 2 * margin - yOffset; |
| 110 | + |
| 111 | + curve.append (QPointF (x, y)); |
| 112 | + } |
| 113 | + QPen penOld = paint->pen(); |
| 114 | + paint->setPen(QPen(QBrush (Qt::black), curveLinewidth)); |
| 115 | + paint->drawPolyline (curve); |
| 116 | + paint->setPen(penOld); |
| 117 | + |
| 118 | + paint->setRenderHint (QPainter::Antialiasing, false); |
| 119 | + |
| 120 | + // Points along quadratic line. They are stretched evenly along the arc, rather than evenly |
| 121 | + // along the x direction, so it looks nicer |
| 122 | + double xDeltaCurve = (xCurveMax - xCurveMin) / (numCurvePoints - 1.0); |
| 123 | + for (int ip = 0; ip < numCurvePoints; ip++) { |
| 124 | + // Map from 0 through numAxisPoints-1 to 0 through numAxisPoints-1 |
| 125 | + double xBefore = 1.0 + (2.71828 - 1.0) * ip / (double) (numCurvePoints - 1.0); // 1 to 2.71828 |
| 126 | + double xAfter = log (xBefore); // 0 to 1 |
| 127 | + double ipLog = (numCurvePoints - 1.0) * xAfter; |
| 128 | + |
| 129 | + double x = xCurveMin + ipLog * xDeltaCurve; |
| 130 | + |
| 131 | + double xOffset = x - xCurveMin; |
| 132 | + double yOffset = yOffsetMax * xOffset * xOffset / (xOffsetMax * xOffsetMax); |
| 133 | + double y = size - 2 * margin - yOffset; |
| 134 | + |
| 135 | + drawPoint (paint, QColor (Qt::green), x, y, axisLinewidth, size); |
| 136 | + } |
| 137 | + |
| 138 | + // X tics |
| 139 | + double xDelta = (xAxisMax - xAxisMin) / (numAxisPoints - 1.0); |
| 140 | + for (int ix = 0; ix < numAxisPoints; ix++) { |
| 141 | + double x = xAxisMin + ix * xDelta; |
| 142 | + double yCenter = size - margin; |
| 143 | + paint->drawLine (QPointF (x, yCenter - ticHalfHeight), |
| 144 | + QPointF (x, yCenter + ticHalfHeight)); |
| 145 | + } |
| 146 | + |
| 147 | + // Y tics |
| 148 | + double yDelta = (yAxisMax - yAxisMin) / (numAxisPoints- 1.0); |
| 149 | + for (int iy = 0; iy < numAxisPoints; iy++) { |
| 150 | + double xCenter = margin; |
| 151 | + double y = yAxisMin + iy * yDelta; |
| 152 | + paint->drawLine (QPointF (xCenter - ticHalfHeight, y), |
| 153 | + QPointF (xCenter + ticHalfHeight, y)); |
| 154 | + } |
| 155 | + |
| 156 | + drawPoint (paint, QColor (Qt::red), xAxisMin, size - margin, axisLinewidth, size); |
| 157 | + drawPoint (paint, QColor (Qt::red), xAxisMin, margin, axisLinewidth, size); |
| 158 | + drawPoint (paint, QColor (Qt::red), xAxisMax, size - margin, axisLinewidth, size); |
| 159 | + |
| 160 | + paint->end(); |
| 161 | + |
| 162 | + // Save file |
| 163 | + QImage alpha = img->alphaChannel(); |
| 164 | + for (int x = 0; x < img->width(); x++) { |
| 165 | + for (int y = 0; y < img->height(); y++) { |
| 166 | + QRgb pixel = img->pixel(x, y); |
| 167 | + if (qRed(pixel) == 255 && qGreen(pixel) == 255 && qBlue(pixel)) { |
| 168 | + alpha.setPixel(x, y, 255); |
| 169 | + } |
| 170 | + } |
| 171 | + } |
| 172 | + img->setAlphaChannel(alpha); |
| 173 | + QString filename = QString ("bannerapp_%1.xpm").arg (size); |
| 174 | + img->save (filename); |
| 175 | + |
| 176 | + delete img; |
| 177 | + } |
| 178 | +} |
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