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| |
| #include "qtriangulatingstroker_p.h" |
| #include <qmath.h> |
| |
| QT_BEGIN_NAMESPACE |
| |
| #define CURVE_FLATNESS Q_PI / 8 |
| |
| |
| |
| |
| void QTriangulatingStroker::endCapOrJoinClosed(const qreal *start, const qreal *cur, |
| bool implicitClose, bool endsAtStart) |
| { |
| if (endsAtStart) { |
| join(start + 2); |
| } else if (implicitClose) { |
| join(start); |
| lineTo(start); |
| join(start+2); |
| } else { |
| endCap(cur); |
| } |
| int count = m_vertices.size(); |
| |
| // Copy the (x, y) values because QDataBuffer::add(const float& t) |
| // may resize the buffer, which will leave t pointing at the |
| // previous buffer's memory region if we don't copy first. |
| float x = m_vertices.at(count-2); |
| float y = m_vertices.at(count-1); |
| m_vertices.add(x); |
| m_vertices.add(y); |
| } |
| |
| static inline void skipDuplicatePoints(const qreal **pts, const qreal *endPts) |
| { |
| while ((*pts + 2) < endPts && float((*pts)[0]) == float((*pts)[2]) |
| && float((*pts)[1]) == float((*pts)[3])) |
| { |
| *pts += 2; |
| } |
| } |
| |
| void QTriangulatingStroker::process(const QVectorPath &path, const QPen &pen, const QRectF &, QPainter::RenderHints hints) |
| { |
| const qreal *pts = path.points(); |
| const QPainterPath::ElementType *types = path.elements(); |
| int count = path.elementCount(); |
| m_vertices.reset(); |
| if (count < 2) |
| return; |
| |
| float realWidth = qpen_widthf(pen); |
| if (realWidth == 0) |
| realWidth = 1; |
| |
| m_width = realWidth / 2; |
| |
| bool cosmetic = qt_pen_is_cosmetic(pen, hints); |
| if (cosmetic) { |
| m_width = m_width * m_inv_scale; |
| } |
| |
| m_join_style = qpen_joinStyle(pen); |
| m_cap_style = qpen_capStyle(pen); |
| m_miter_limit = pen.miterLimit() * qpen_widthf(pen); |
| |
| // The curvyness is based on the notion that I originally wanted |
| // roughly one line segment pr 4 pixels. This may seem little, but |
| // because we sample at constantly incrementing B(t) E [0<t<1], we |
| // will get longer segments where the curvature is small and smaller |
| // segments when the curvature is high. |
| // |
| // To get a rough idea of the length of each curve, I pretend that |
| // the curve is a 90 degree arc, whose radius is |
| // qMax(curveBounds.width, curveBounds.height). Based on this |
| // logic we can estimate the length of the outline edges based on |
| // the radius + a pen width and adjusting for scale factors |
| // depending on if the pen is cosmetic or not. |
| // |
| // The curvyness value of PI/14 was based on, |
| // arcLength = 2*PI*r/4 = PI*r/2 and splitting length into somewhere |
| // between 3 and 8 where 5 seemed to be give pretty good results |
| // hence: Q_PI/14. Lower divisors will give more detail at the |
| // direct cost of performance. |
| |
| // simplfy pens that are thin in device size (2px wide or less) |
| if (realWidth < 2.5 && (cosmetic || m_inv_scale == 1)) { |
| if (m_cap_style == Qt::RoundCap) |
| m_cap_style = Qt::SquareCap; |
| if (m_join_style == Qt::RoundJoin) |
| m_join_style = Qt::MiterJoin; |
| m_curvyness_add = 0.5; |
| m_curvyness_mul = CURVE_FLATNESS / m_inv_scale; |
| m_roundness = 1; |
| } else if (cosmetic) { |
| m_curvyness_add = realWidth / 2; |
| m_curvyness_mul = float(CURVE_FLATNESS); |
| m_roundness = qMax<int>(4, realWidth * CURVE_FLATNESS); |
| } else { |
| m_curvyness_add = m_width; |
| m_curvyness_mul = CURVE_FLATNESS / m_inv_scale; |
| m_roundness = qMax<int>(4, realWidth * m_curvyness_mul); |
| } |
| |
| // Over this level of segmentation, there doesn't seem to be any |
| // benefit, even for huge penWidth |
| if (m_roundness > 24) |
| m_roundness = 24; |
| |
| m_sin_theta = qFastSin(Q_PI / m_roundness); |
| m_cos_theta = qFastCos(Q_PI / m_roundness); |
| |
| const qreal *endPts = pts + (count<<1); |
| const qreal *startPts = nullptr; |
| |
| Qt::PenCapStyle cap = m_cap_style; |
| |
| if (!types) { |
| skipDuplicatePoints(&pts, endPts); |
| if ((pts + 2) == endPts) |
| return; |
| |
| startPts = pts; |
| |
| bool endsAtStart = float(startPts[0]) == float(endPts[-2]) |
| && float(startPts[1]) == float(endPts[-1]); |
| |
| if (endsAtStart || path.hasImplicitClose()) |
| m_cap_style = Qt::FlatCap; |
| moveTo(pts); |
| m_cap_style = cap; |
| pts += 2; |
| skipDuplicatePoints(&pts, endPts); |
| lineTo(pts); |
| pts += 2; |
| skipDuplicatePoints(&pts, endPts); |
| while (pts < endPts) { |
| join(pts); |
| lineTo(pts); |
| pts += 2; |
| skipDuplicatePoints(&pts, endPts); |
| } |
| endCapOrJoinClosed(startPts, pts-2, path.hasImplicitClose(), endsAtStart); |
| |
| } else { |
| bool endsAtStart = false; |
| QPainterPath::ElementType previousType = QPainterPath::MoveToElement; |
| const qreal *previousPts = pts; |
| while (pts < endPts) { |
| switch (*types) { |
| case QPainterPath::MoveToElement: { |
| int end = (endPts - pts) / 2; |
| int nextMoveElement = 1; |
| bool hasValidLineSegments = false; |
| while (nextMoveElement < end && types[nextMoveElement] != QPainterPath::MoveToElement) { |
| if (!hasValidLineSegments) { |
| hasValidLineSegments = |
| float(pts[0]) != float(pts[nextMoveElement * 2]) || |
| float(pts[1]) != float(pts[nextMoveElement * 2 + 1]); |
| } |
| ++nextMoveElement; |
| } |
| |
| /** |
| * 'LineToElement' may be skipped if it doesn't move the center point |
| * of the line. We should make sure that we don't end up with a lost |
| * 'MoveToElement' in the vertex buffer, not connected to anything. Since |
| * the buffer uses degenerate triangles trick to split the primitives, |
| * this spurious MoveToElement will create artifacts when rendering. |
| */ |
| if (!hasValidLineSegments) { |
| pts += 2 * nextMoveElement; |
| types += nextMoveElement; |
| continue; |
| } |
| |
| if (previousType != QPainterPath::MoveToElement) |
| endCapOrJoinClosed(startPts, previousPts, path.hasImplicitClose(), endsAtStart); |
| |
| startPts = pts; |
| skipDuplicatePoints(&startPts, endPts); // Skip duplicates to find correct normal. |
| if (startPts + 2 >= endPts) |
| return; // Nothing to see here... |
| |
| endsAtStart = float(startPts[0]) == float(pts[nextMoveElement * 2 - 2]) |
| && float(startPts[1]) == float(pts[nextMoveElement * 2 - 1]); |
| if (endsAtStart || path.hasImplicitClose()) |
| m_cap_style = Qt::FlatCap; |
| |
| moveTo(startPts); |
| m_cap_style = cap; |
| previousType = QPainterPath::MoveToElement; |
| previousPts = pts; |
| pts+=2; |
| ++types; |
| break; } |
| case QPainterPath::LineToElement: |
| if (float(m_cx) != float(pts[0]) || float(m_cy) != float(pts[1])) { |
| if (previousType != QPainterPath::MoveToElement) |
| join(pts); |
| lineTo(pts); |
| previousType = QPainterPath::LineToElement; |
| previousPts = pts; |
| } |
| pts+=2; |
| ++types; |
| break; |
| case QPainterPath::CurveToElement: |
| if (float(m_cx) != float(pts[0]) || float(m_cy) != float(pts[1]) |
| || float(pts[0]) != float(pts[2]) || float(pts[1]) != float(pts[3]) |
| || float(pts[2]) != float(pts[4]) || float(pts[3]) != float(pts[5])) |
| { |
| if (float(m_cx) != float(pts[0]) || float(m_cy) != float(pts[1])) { |
| if (previousType != QPainterPath::MoveToElement) |
| join(pts); |
| } |
| cubicTo(pts); |
| previousType = QPainterPath::CurveToElement; |
| previousPts = pts + 4; |
| } |
| pts+=6; |
| types+=3; |
| break; |
| default: |
| Q_ASSERT(false); |
| break; |
| } |
| } |
| |
| if (previousType != QPainterPath::MoveToElement) |
| endCapOrJoinClosed(startPts, previousPts, path.hasImplicitClose(), endsAtStart); |
| } |
| } |
| |
| void QTriangulatingStroker::moveTo(const qreal *pts) |
| { |
| m_cx = pts[0]; |
| m_cy = pts[1]; |
| |
| float x2 = pts[2]; |
| float y2 = pts[3]; |
| normalVector(m_cx, m_cy, x2, y2, &m_nvx, &m_nvy); |
| |
| |
| // To achieve jumps we insert zero-area tringles. This is done by |
| // adding two identical points in both the end of previous strip |
| // and beginning of next strip |
| bool invisibleJump = m_vertices.size(); |
| |
| switch (m_cap_style) { |
| case Qt::FlatCap: |
| if (invisibleJump) { |
| m_vertices.add(m_cx + m_nvx); |
| m_vertices.add(m_cy + m_nvy); |
| } |
| break; |
| case Qt::SquareCap: { |
| float sx = m_cx - m_nvy; |
| float sy = m_cy + m_nvx; |
| if (invisibleJump) { |
| m_vertices.add(sx + m_nvx); |
| m_vertices.add(sy + m_nvy); |
| } |
| emitLineSegment(sx, sy, m_nvx, m_nvy); |
| break; } |
| case Qt::RoundCap: { |
| QVarLengthArray<float> points; |
| arcPoints(m_cx, m_cy, m_cx + m_nvx, m_cy + m_nvy, m_cx - m_nvx, m_cy - m_nvy, points); |
| m_vertices.resize(m_vertices.size() + points.size() + 2 * int(invisibleJump)); |
| int count = m_vertices.size(); |
| int front = 0; |
| int end = points.size() / 2; |
| while (front != end) { |
| m_vertices.at(--count) = points[2 * end - 1]; |
| m_vertices.at(--count) = points[2 * end - 2]; |
| --end; |
| if (front == end) |
| break; |
| m_vertices.at(--count) = points[2 * front + 1]; |
| m_vertices.at(--count) = points[2 * front + 0]; |
| ++front; |
| } |
| |
| if (invisibleJump) { |
| m_vertices.at(count - 1) = m_vertices.at(count + 1); |
| m_vertices.at(count - 2) = m_vertices.at(count + 0); |
| } |
| break; } |
| default: break; // ssssh gcc... |
| } |
| emitLineSegment(m_cx, m_cy, m_nvx, m_nvy); |
| } |
| |
| void QTriangulatingStroker::cubicTo(const qreal *pts) |
| { |
| const QPointF *p = (const QPointF *) pts; |
| QBezier bezier = QBezier::fromPoints(*(p - 1), p[0], p[1], p[2]); |
| |
| QRectF bounds = bezier.bounds(); |
| float rad = qMax(bounds.width(), bounds.height()); |
| int threshold = qMin<float>(64, (rad + m_curvyness_add) * m_curvyness_mul); |
| if (threshold < 4) |
| threshold = 4; |
| qreal threshold_minus_1 = threshold - 1; |
| float vx = 0, vy = 0; |
| |
| float cx = m_cx, cy = m_cy; |
| float x, y; |
| |
| for (int i=1; i<threshold; ++i) { |
| qreal t = qreal(i) / threshold_minus_1; |
| QPointF p = bezier.pointAt(t); |
| x = p.x(); |
| y = p.y(); |
| |
| normalVector(cx, cy, x, y, &vx, &vy); |
| |
| emitLineSegment(x, y, vx, vy); |
| |
| cx = x; |
| cy = y; |
| } |
| |
| m_cx = cx; |
| m_cy = cy; |
| |
| m_nvx = vx; |
| m_nvy = vy; |
| } |
| |
| void QTriangulatingStroker::join(const qreal *pts) |
| { |
| // Creates a join to the next segment (m_cx, m_cy) -> (pts[0], pts[1]) |
| normalVector(m_cx, m_cy, pts[0], pts[1], &m_nvx, &m_nvy); |
| |
| switch (m_join_style) { |
| case Qt::BevelJoin: |
| break; |
| case Qt::SvgMiterJoin: |
| case Qt::MiterJoin: { |
| // Find out on which side the join should be. |
| int count = m_vertices.size(); |
| float prevNvx = m_vertices.at(count - 2) - m_cx; |
| float prevNvy = m_vertices.at(count - 1) - m_cy; |
| float xprod = prevNvx * m_nvy - prevNvy * m_nvx; |
| float px, py, qx, qy; |
| |
| // If the segments are parallel, use bevel join. |
| if (qFuzzyIsNull(xprod)) |
| break; |
| |
| // Find the corners of the previous and next segment to join. |
| if (xprod < 0) { |
| px = m_vertices.at(count - 2); |
| py = m_vertices.at(count - 1); |
| qx = m_cx - m_nvx; |
| qy = m_cy - m_nvy; |
| } else { |
| px = m_vertices.at(count - 4); |
| py = m_vertices.at(count - 3); |
| qx = m_cx + m_nvx; |
| qy = m_cy + m_nvy; |
| } |
| |
| // Find intersection point. |
| float pu = px * prevNvx + py * prevNvy; |
| float qv = qx * m_nvx + qy * m_nvy; |
| float ix = (m_nvy * pu - prevNvy * qv) / xprod; |
| float iy = (prevNvx * qv - m_nvx * pu) / xprod; |
| |
| // Check that the distance to the intersection point is less than the miter limit. |
| if ((ix - px) * (ix - px) + (iy - py) * (iy - py) <= m_miter_limit * m_miter_limit) { |
| m_vertices.add(ix); |
| m_vertices.add(iy); |
| m_vertices.add(ix); |
| m_vertices.add(iy); |
| } |
| // else |
| // Do a plain bevel join if the miter limit is exceeded or if |
| // the lines are parallel. This is not what the raster |
| // engine's stroker does, but it is both faster and similar to |
| // what some other graphics API's do. |
| |
| break; } |
| case Qt::RoundJoin: { |
| QVarLengthArray<float> points; |
| int count = m_vertices.size(); |
| float prevNvx = m_vertices.at(count - 2) - m_cx; |
| float prevNvy = m_vertices.at(count - 1) - m_cy; |
| if (m_nvx * prevNvy - m_nvy * prevNvx < 0) { |
| arcPoints(0, 0, m_nvx, m_nvy, -prevNvx, -prevNvy, points); |
| for (int i = points.size() / 2; i > 0; --i) |
| emitLineSegment(m_cx, m_cy, points[2 * i - 2], points[2 * i - 1]); |
| } else { |
| arcPoints(0, 0, -prevNvx, -prevNvy, m_nvx, m_nvy, points); |
| for (int i = 0; i < points.size() / 2; ++i) |
| emitLineSegment(m_cx, m_cy, points[2 * i + 0], points[2 * i + 1]); |
| } |
| break; } |
| default: break; // gcc warn-- |
| } |
| |
| emitLineSegment(m_cx, m_cy, m_nvx, m_nvy); |
| } |
| |
| void QTriangulatingStroker::endCap(const qreal *) |
| { |
| switch (m_cap_style) { |
| case Qt::FlatCap: |
| break; |
| case Qt::SquareCap: |
| emitLineSegment(m_cx + m_nvy, m_cy - m_nvx, m_nvx, m_nvy); |
| break; |
| case Qt::RoundCap: { |
| QVarLengthArray<float> points; |
| int count = m_vertices.size(); |
| arcPoints(m_cx, m_cy, m_vertices.at(count - 2), m_vertices.at(count - 1), m_vertices.at(count - 4), m_vertices.at(count - 3), points); |
| int front = 0; |
| int end = points.size() / 2; |
| while (front != end) { |
| m_vertices.add(points[2 * end - 2]); |
| m_vertices.add(points[2 * end - 1]); |
| --end; |
| if (front == end) |
| break; |
| m_vertices.add(points[2 * front + 0]); |
| m_vertices.add(points[2 * front + 1]); |
| ++front; |
| } |
| break; } |
| default: break; // to shut gcc up... |
| } |
| } |
| |
| void QTriangulatingStroker::arcPoints(float cx, float cy, float fromX, float fromY, float toX, float toY, QVarLengthArray<float> &points) |
| { |
| float dx1 = fromX - cx; |
| float dy1 = fromY - cy; |
| float dx2 = toX - cx; |
| float dy2 = toY - cy; |
| |
| // while more than 180 degrees left: |
| while (dx1 * dy2 - dx2 * dy1 < 0) { |
| float tmpx = dx1 * m_cos_theta - dy1 * m_sin_theta; |
| float tmpy = dx1 * m_sin_theta + dy1 * m_cos_theta; |
| dx1 = tmpx; |
| dy1 = tmpy; |
| points.append(cx + dx1); |
| points.append(cy + dy1); |
| } |
| |
| // while more than 90 degrees left: |
| while (dx1 * dx2 + dy1 * dy2 < 0) { |
| float tmpx = dx1 * m_cos_theta - dy1 * m_sin_theta; |
| float tmpy = dx1 * m_sin_theta + dy1 * m_cos_theta; |
| dx1 = tmpx; |
| dy1 = tmpy; |
| points.append(cx + dx1); |
| points.append(cy + dy1); |
| } |
| |
| // while more than 0 degrees left: |
| while (dx1 * dy2 - dx2 * dy1 > 0) { |
| float tmpx = dx1 * m_cos_theta - dy1 * m_sin_theta; |
| float tmpy = dx1 * m_sin_theta + dy1 * m_cos_theta; |
| dx1 = tmpx; |
| dy1 = tmpy; |
| points.append(cx + dx1); |
| points.append(cy + dy1); |
| } |
| |
| // remove last point which was rotated beyond [toX, toY]. |
| if (!points.isEmpty()) |
| points.resize(points.size() - 2); |
| } |
| |
| static void qdashprocessor_moveTo(qreal x, qreal y, void *data) |
| { |
| ((QDashedStrokeProcessor *) data)->addElement(QPainterPath::MoveToElement, x, y); |
| } |
| |
| static void qdashprocessor_lineTo(qreal x, qreal y, void *data) |
| { |
| ((QDashedStrokeProcessor *) data)->addElement(QPainterPath::LineToElement, x, y); |
| } |
| |
| static void qdashprocessor_cubicTo(qreal, qreal, qreal, qreal, qreal, qreal, void *) |
| { |
| Q_ASSERT(0); // The dasher should not produce curves... |
| } |
| |
| QDashedStrokeProcessor::QDashedStrokeProcessor() |
| : m_points(0), m_types(0), |
| m_dash_stroker(nullptr), m_inv_scale(1) |
| { |
| m_dash_stroker.setMoveToHook(qdashprocessor_moveTo); |
| m_dash_stroker.setLineToHook(qdashprocessor_lineTo); |
| m_dash_stroker.setCubicToHook(qdashprocessor_cubicTo); |
| } |
| |
| void QDashedStrokeProcessor::process(const QVectorPath &path, const QPen &pen, const QRectF &clip, QPainter::RenderHints hints) |
| { |
| |
| const qreal *pts = path.points(); |
| const QPainterPath::ElementType *types = path.elements(); |
| int count = path.elementCount(); |
| |
| bool cosmetic = qt_pen_is_cosmetic(pen, hints); |
| bool implicitClose = path.hasImplicitClose(); |
| |
| m_points.reset(); |
| m_types.reset(); |
| m_points.reserve(path.elementCount()); |
| m_types.reserve(path.elementCount()); |
| |
| qreal width = qpen_widthf(pen); |
| if (width == 0) |
| width = 1; |
| |
| m_dash_stroker.setDashPattern(pen.dashPattern()); |
| m_dash_stroker.setStrokeWidth(cosmetic ? width * m_inv_scale : width); |
| m_dash_stroker.setDashOffset(pen.dashOffset()); |
| m_dash_stroker.setMiterLimit(pen.miterLimit()); |
| m_dash_stroker.setClipRect(clip); |
| |
| float curvynessAdd, curvynessMul; |
| |
| // simplify pens that are thin in device size (2px wide or less) |
| if (width < 2.5 && (cosmetic || m_inv_scale == 1)) { |
| curvynessAdd = 0.5; |
| curvynessMul = CURVE_FLATNESS / m_inv_scale; |
| } else if (cosmetic) { |
| curvynessAdd= width / 2; |
| curvynessMul= float(CURVE_FLATNESS); |
| } else { |
| curvynessAdd = width * m_inv_scale; |
| curvynessMul = CURVE_FLATNESS / m_inv_scale; |
| } |
| |
| if (count < 2) |
| return; |
| |
| bool needsClose = false; |
| if (implicitClose) { |
| if (pts[0] != pts[count * 2 - 2] || pts[1] != pts[count * 2 - 1]) |
| needsClose = true; |
| } |
| |
| const qreal *firstPts = pts; |
| const qreal *endPts = pts + (count<<1); |
| m_dash_stroker.begin(this); |
| |
| if (!types) { |
| m_dash_stroker.moveTo(pts[0], pts[1]); |
| pts += 2; |
| while (pts < endPts) { |
| m_dash_stroker.lineTo(pts[0], pts[1]); |
| pts += 2; |
| } |
| } else { |
| while (pts < endPts) { |
| switch (*types) { |
| case QPainterPath::MoveToElement: |
| m_dash_stroker.moveTo(pts[0], pts[1]); |
| pts += 2; |
| ++types; |
| break; |
| case QPainterPath::LineToElement: |
| m_dash_stroker.lineTo(pts[0], pts[1]); |
| pts += 2; |
| ++types; |
| break; |
| case QPainterPath::CurveToElement: { |
| QBezier b = QBezier::fromPoints(*(((const QPointF *) pts) - 1), |
| *(((const QPointF *) pts)), |
| *(((const QPointF *) pts) + 1), |
| *(((const QPointF *) pts) + 2)); |
| QRectF bounds = b.bounds(); |
| float rad = qMax(bounds.width(), bounds.height()); |
| int threshold = qMin<float>(64, (rad + curvynessAdd) * curvynessMul); |
| if (threshold < 4) |
| threshold = 4; |
| |
| qreal threshold_minus_1 = threshold - 1; |
| for (int i=0; i<threshold; ++i) { |
| QPointF pt = b.pointAt(i / threshold_minus_1); |
| m_dash_stroker.lineTo(pt.x(), pt.y()); |
| } |
| pts += 6; |
| types += 3; |
| break; } |
| default: break; |
| } |
| } |
| } |
| if (needsClose) |
| m_dash_stroker.lineTo(firstPts[0], firstPts[1]); |
| |
| m_dash_stroker.end(); |
| } |
| |
| QT_END_NAMESPACE |