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| author | craig <craig@11d20701-8431-0410-a711-e3c959e3b870> | 2012-01-01 11:40:09 +0000 |
|---|---|---|
| committer | craig <craig@11d20701-8431-0410-a711-e3c959e3b870> | 2012-01-01 11:40:09 +0000 |
| commit | 7ed83b6c6666eb8b6b104c211ae7e52907350372 (patch) | |
| tree | 4430b556abac0ad660a0aacf1887d77f85d8be02 /scribus/util_math.cpp | |
| download | scribus-7ed83b6c6666eb8b6b104c211ae7e52907350372.tar.gz scribus-7ed83b6c6666eb8b6b104c211ae7e52907350372.tar.xz scribus-7ed83b6c6666eb8b6b104c211ae7e52907350372.zip | |
Branch 1.3.5 tree to 1.4.x tree, goodbye 1.3.x
git-svn-id: svn://scribus.net/branches/Version14x/Scribus@17163 11d20701-8431-0410-a711-e3c959e3b870
Diffstat (limited to 'scribus/util_math.cpp')
| -rw-r--r-- | scribus/util_math.cpp | 386 |
1 files changed, 386 insertions, 0 deletions
diff --git a/scribus/util_math.cpp b/scribus/util_math.cpp new file mode 100644 index 0000000..548670e --- /dev/null +++ b/scribus/util_math.cpp @@ -0,0 +1,386 @@ +/*
+For general Scribus (>=1.3.2) copyright and licensing information please refer
+to the COPYING file provided with the program. Following this notice may exist
+a copyright and/or license notice that predates the release of Scribus 1.3.2
+for which a new license (GPL+exception) is in place.
+*/
+/***************************************************************************
+ util.cpp - description
+ -------------------
+ begin : Fri Sep 14 2001
+ copyright : (C) 2001 by Franz Schmid
+ email : Franz.Schmid@altmuehlnet.de
+ ***************************************************************************/
+
+/***************************************************************************
+ * *
+ * This program is free software; you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation; either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ ***************************************************************************/
+
+#include <QRegion>
+
+#include "util_math.h"
+#include "scconfig.h"
+#include "fpoint.h"
+#include "fpointarray.h"
+
+using namespace std;
+
+uint getDouble(const QByteArray in, bool raw)
+{
+ QByteArray bb(4, ' ');
+ if (raw)
+ {
+ // Qt4
+/* bb[3] = static_cast<uchar>(QChar(in.at(0)));
+ bb[2] = static_cast<uchar>(QChar(in.at(1)));
+ bb[1] = static_cast<uchar>(QChar(in.at(2)));
+ bb[0] = static_cast<uchar>(QChar(in.at(3)));*/
+ bb[3] = in.at(0);
+ bb[2] = in.at(1);
+ bb[1] = in.at(2);
+ bb[0] = in.at(3);
+ }
+ else
+ {
+ // Qt4
+// bb[0] = static_cast<uchar>(QChar(in.at(0)));
+// bb[1] = static_cast<uchar>(QChar(in.at(1)));
+// bb[2] = static_cast<uchar>(QChar(in.at(2)));
+// bb[3] = static_cast<uchar>(QChar(in.at(3)));
+ bb[0] = in.at(0);
+ bb[1] = in.at(1);
+ bb[2] = in.at(2);
+ bb[3] = in.at(3);
+ }
+ uint ret;
+ ret = bb[0] & 0xff;
+ ret |= (bb[1] << 8) & 0xff00;
+ ret |= (bb[2] << 16) & 0xff0000;
+ ret |= (bb[3] << 24) & 0xff000000;
+ return ret;
+}
+
+QPainterPath RegularPolygon(double w, double h, uint c, bool star, double factor, double rota, double factor2)
+{
+ uint cx = star ? c * 2 : c;
+ double seg = 360.0 / cx;
+ double sc = rota + 180.0;
+ double di = factor;
+ double mx = 0;
+ double my = 0;
+ bool first = true;
+ double trueLength = sqrt(pow(sin(seg / 180.0 * M_PI) * (w / 2.0), 2) + pow(cos(seg / 180.0 * M_PI) * (h / 2.0) + (h/2.0) - h, 2));
+ QPainterPath pts;
+ for (uint x = 0; x < cx; ++x)
+ {
+ sc = seg * x + 180.0 + rota;
+ if (star)
+ {
+ double wf = w / 2.0;
+ double hf = h / 2.0;
+ if (x % 2 != 0)
+ {
+ wf *= di;
+ hf *= di;
+ }
+ mx = sin(sc / 180.0 * M_PI) * (wf) + (w/2.0);
+ my = cos(sc / 180.0 * M_PI) * (hf) + (h/2.0);
+ if (first)
+ pts.moveTo(mx, my);
+ else
+ {
+ if (factor2 != 0.0)
+ {
+ if (x % 2 != 0)
+ {
+ QPointF curr = pts.currentPosition();
+ double mxc = sin((sc + 90.0) / 180.0 * M_PI) * (-trueLength * factor2) + mx;
+ double myc = cos((sc + 90.0) / 180.0 * M_PI) * (-trueLength * factor2) + my;
+ pts.cubicTo(curr, QPointF(mxc, myc), QPointF(mx, my));
+ }
+ else
+ {
+ QPointF curr = pts.currentPosition();
+ double mxc = sin((sc - seg + 90.0) / 180.0 * M_PI) * (trueLength * factor2) + curr.x();
+ double myc = cos((sc - seg + 90.0) / 180.0 * M_PI) * (trueLength * factor2) + curr.y();
+ pts.cubicTo(QPointF(mxc, myc), QPointF(mx, my), QPointF(mx, my));
+ }
+ }
+ else
+ pts.lineTo(mx, my);
+ }
+ }
+ else
+ {
+ mx = sin(sc / 180.0 * M_PI) * (w/2.0) + (w/2.0);
+ my = cos(sc / 180.0 * M_PI) * (h/2.0) + (h/2.0);
+ if (first)
+ pts.moveTo(mx, my);
+ else
+ pts.lineTo(mx, my);
+ }
+ first = false;
+ }
+ if ((star) && (factor2 != 0.0))
+ {
+ sc = 360.0 + 180.0 + rota;
+ mx = sin(sc / 180.0 * M_PI) * (w / 2.0) + (w/2.0);
+ my = cos(sc / 180.0 * M_PI) * (h / 2.0) + (h/2.0);
+ QPointF curr = pts.currentPosition();
+ double mxc = sin((sc - seg + 90.0) / 180.0 * M_PI) * (trueLength * factor2) + curr.x();
+ double myc = cos((sc - seg + 90.0) / 180.0 * M_PI) * (trueLength * factor2) + curr.y();
+ pts.cubicTo(QPointF(mxc, myc), QPointF(mx, my), QPointF(mx, my));
+ }
+ pts.closeSubpath();
+ return pts;
+}
+
+QList<QPainterPath> decomposePath(QPainterPath &path)
+{
+ QList<QPainterPath> ret;
+ ret.clear();
+ QPainterPath part;
+ part = QPainterPath();
+ bool first = true;
+ for (int i = 0; i < path.elementCount(); ++i)
+ {
+ const QPainterPath::Element &elm = path.elementAt(i);
+ if ((first) && (elm.type != QPainterPath::MoveToElement))
+ part.moveTo(elm.x, elm.y);
+ switch (elm.type)
+ {
+ case QPainterPath::MoveToElement:
+ if (!first)
+ {
+ ret.append(part);
+ part = QPainterPath();
+ }
+ first = false;
+ part.moveTo(elm.x, elm.y);
+ break;
+ case QPainterPath::LineToElement:
+ part.lineTo(elm.x, elm.y);
+ break;
+ case QPainterPath::CurveToElement:
+ part.cubicTo(elm.x, elm.y, path.elementAt(i+1).x, path.elementAt(i+1).y, path.elementAt(i+2).x, path.elementAt(i+2).y );
+ break;
+ default:
+ break;
+ }
+ }
+ if (!part.isEmpty())
+ ret.append(part);
+ return ret;
+}
+
+FPoint projectPointOnLine(FPoint p, QPointF lineStart, QPointF lineEnd)
+{
+ if (lineStart == lineEnd)
+ return FPoint(lineStart.x(), lineStart.y());
+
+ // move lineStart to Origin
+ p -= FPoint(lineStart.x(), lineStart.y());
+ lineEnd -= lineStart;
+ // calc dot product
+ double lineLengthSquare = lineEnd.x() * lineEnd.x() + lineEnd.y() * lineEnd.y();
+ double partOfLine = p.x() * lineEnd.x() + p.y() * lineEnd.y() / lineLengthSquare;
+ // return point on line
+ return FPoint(lineStart.x() + partOfLine * lineEnd.x(), lineStart.y() + partOfLine * lineEnd.y());
+}
+
+bool regionContainsRect(const QRegion& shape, QRect rect)
+{
+ /*bool oldResult = QRegion(rect).subtracted(shape).isEmpty();*/
+
+ // Code adapted from Qt RectInRegion (cf. qregion.cpp) to detect
+ // if a specific rect is stricly contained in a specific region
+ const QRect *pbox, *pboxEnd;
+ bool partIn(false), partOut(false);
+
+ QRect *prect = ▭
+ int rx = rect.left();
+ int ry = rect.top();
+
+ int rectCount = shape.rectCount();
+ QRect boundingRect = shape.boundingRect();
+ if (rectCount == 0 || !boundingRect.contains(rect))
+ return false;
+
+ /* can stop when both partOut and partIn are true, or we reach prect->y2 */
+ const QVector<QRect> rects = shape.rects();
+ pbox = (rectCount == 1) ? &boundingRect : rects.constData();
+ pboxEnd = pbox + rectCount;
+ for (; pbox < pboxEnd; ++pbox) {
+ if (pbox->bottom() < ry)
+ continue;
+
+ if (pbox->top() > ry) {
+ partOut = true;
+ if (partIn || pbox->top() > prect->bottom())
+ break;
+ ry = pbox->top();
+ }
+
+ if (pbox->right() < rx)
+ continue; /* not far enough over yet */
+
+ if (pbox->left() > rx) {
+ partOut = true; /* missed part of rectangle to left */
+ if (partIn)
+ break;
+ }
+
+ if (pbox->left() <= prect->right()) {
+ partIn = true; /* definitely overlap */
+ if (partOut)
+ break;
+ }
+
+ if (pbox->right() >= prect->right()) {
+ ry = pbox->bottom() + 1; /* finished with this band */
+ if (ry > prect->bottom())
+ break;
+ rx = prect->left(); /* reset x out to left again */
+ } else {
+ /*
+ * Because boxes in a band are maximal width, if the first box
+ * to overlap the rectangle doesn't completely cover it in that
+ * band, the rectangle must be partially out, since some of it
+ * will be uncovered in that band. partIn will have been set true
+ * by now...
+ */
+ break;
+ }
+ }
+ /*bool newResult = partIn ? ((ry <= prect->bottom()) ? false : true) : false;
+ if (oldResult != newResult)
+ int test = 0;*/
+ return partIn ? ((ry <= prect->bottom()) ? false : true) : false;
+}
+
+QPolygon FlattenPath(const FPointArray& ina, QList<uint> &Segs)
+{
+ QPolygon cli, outa;
+ Segs.clear();
+ if (ina.size() > 3)
+ {
+ for (uint poi=0; poi<ina.size()-3; poi += 4)
+ {
+ if (ina.point(poi).x() > 900000) // && cli.size() > 0)
+ {
+// outa << cli.point(cli.size()-1);
+ Segs.append(outa.size());
+ continue;
+ }
+ FPoint a1 = ina.point(poi);
+ FPoint a2 = ina.point(poi+1);
+ FPoint a3 = ina.point(poi+3);
+ FPoint a4 = ina.point(poi+2);
+ QPainterPath Bez;
+ Bez.moveTo(a1.x(), a1.y());
+ Bez.cubicTo(a2.x(), a2.y(), a3.x(), a3.y(), a4.x(), a4.y());
+ cli = Bez.toFillPolygon().toPolygon();
+ if (cli.size() > 1)
+ outa.putPoints(outa.size(), cli.size()-2, cli);
+ else
+ outa << QPoint(qRound(a4.x()), qRound(a4.y()));
+ }
+// if (cli.size() > 0)
+// outa << cli.point(cli.size()-1);
+ }
+ return outa;
+}
+
+FPoint getMaxClipF(FPointArray* Clip)
+{
+ FPoint np, rp;
+ double mx = 0;
+ double my = 0;
+ uint clipSize=Clip->size();
+ for (uint c = 0; c < clipSize; ++c)
+ {
+ np = Clip->point(c);
+ if (np.x() > 900000)
+ continue;
+ if (np.x() > mx)
+ mx = np.x();
+ if (np.y() > my)
+ my = np.y();
+ }
+ rp.setXY(mx, my);
+ return rp;
+}
+
+FPoint getMinClipF(FPointArray* Clip)
+{
+ FPoint np, rp;
+ double mx = 99999;
+ double my = 99999;
+ uint clipSize=Clip->size();
+ for (uint c = 0; c < clipSize; ++c)
+ {
+ np = Clip->point(c);
+ if (np.x() > 900000)
+ continue;
+ if (np.x() < mx)
+ mx = np.x();
+ if (np.y() < my)
+ my = np.y();
+ }
+ rp.setXY(mx, my);
+ return rp;
+}
+
+
+bool compareDouble(double a, double b)
+{
+ if(a > -21473 && b > -21473 && a < 21474 && b < 21474)
+ {
+ long al = static_cast<long>(10000 * a);
+ long bl = static_cast<long>(10000 * b);
+ return al == bl;
+ }
+ return a == b;
+}
+
+
+double constrainAngle(double angle, double constrain)
+{
+ double newAngle=angle;
+ double constrainTo=constrain;
+ if (newAngle<0.0)
+ newAngle+=360.0;
+ newAngle=qRound(angle/constrainTo)*constrainTo;
+ if (newAngle==360.0)
+ newAngle=0.0;
+ return newAngle;
+}
+
+double getRotationFromMatrix(QMatrix& matrix, double def)
+{
+ double value = def;
+ double norm = sqrt(fabs(matrix.det()));
+ if (norm > 0.0000001)
+ {
+ double m11 = matrix.m11() / norm;
+ double m12 = matrix.m12() / norm;
+ double m21 = matrix.m21() / norm;
+ double m22 = matrix.m22() / norm;
+ if (fabs(m11) <= 1.0 && fabs(m12) <= 1.0 && fabs(m21) <= 1.0 && fabs(m22) <= 1.0)
+ {
+ QMatrix mat(m11, m12, m21, m22, 0, 0);
+ if (abs(mat.det()-1.0) < 0.00001 && (mat.m12() == -mat.m21()))
+ {
+ double ac = acos(mat.m11());
+ value = (mat.m21() >= 0.0) ? ac : (-ac);
+ }
+ }
+ }
+ return value;
+}
+
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