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      1 /*
      2     Copyright (C) 2007 Krzysztof Kowalczyk <kkowalczyk (at) gmail.com>
      3     Copyright (C) 2004, 2005, 2006 Nikolas Zimmermann <wildfox (at) kde.org>
      4                   2004, 2005, 2006 Rob Buis <buis (at) kde.org>
      5                   2005, 2007 Apple Inc. All Rights reserved.
      6                   2007 Alp Toker <alp (at) atoker.com>
      7                   2008 Dirk Schulze <krit (at) webkit.org>
      8                   2011 Igalia S.L.
      9 
     10     This library is free software; you can redistribute it and/or
     11     modify it under the terms of the GNU Library General Public
     12     License as published by the Free Software Foundation; either
     13     version 2 of the License, or (at your option) any later version.
     14 
     15     This library is distributed in the hope that it will be useful,
     16     but WITHOUT ANY WARRANTY; without even the implied warranty of
     17     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
     18     Library General Public License for more details.
     19 
     20     You should have received a copy of the GNU Library General Public License
     21     aint with this library; see the file COPYING.LIB.  If not, write to
     22     the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
     23     Boston, MA 02110-1301, USA.
     24 */
     25 
     26 #include "config.h"
     27 #include "Path.h"
     28 
     29 #include "AffineTransform.h"
     30 #include "FloatRect.h"
     31 #include "GraphicsContext.h"
     32 #include "OwnPtrCairo.h"
     33 #include "PlatformPathCairo.h"
     34 #include "PlatformString.h"
     35 #include "StrokeStyleApplier.h"
     36 #include <cairo.h>
     37 #include <math.h>
     38 #include <wtf/MathExtras.h>
     39 
     40 namespace WebCore {
     41 
     42 Path::Path()
     43     : m_path(new CairoPath())
     44 {
     45 }
     46 
     47 Path::~Path()
     48 {
     49     delete m_path;
     50 }
     51 
     52 Path::Path(const Path& other)
     53     : m_path(new CairoPath())
     54 {
     55     cairo_t* cr = platformPath()->context();
     56     OwnPtr<cairo_path_t> p(cairo_copy_path(other.platformPath()->context()));
     57     cairo_append_path(cr, p.get());
     58 }
     59 
     60 Path& Path::operator=(const Path& other)
     61 {
     62     if (&other == this)
     63         return *this;
     64 
     65     clear();
     66     cairo_t* cr = platformPath()->context();
     67     OwnPtr<cairo_path_t> p(cairo_copy_path(other.platformPath()->context()));
     68     cairo_append_path(cr, p.get());
     69     return *this;
     70 }
     71 
     72 void Path::clear()
     73 {
     74     cairo_t* cr = platformPath()->context();
     75     cairo_new_path(cr);
     76 }
     77 
     78 bool Path::isEmpty() const
     79 {
     80     return !cairo_has_current_point(platformPath()->context());
     81 }
     82 
     83 bool Path::hasCurrentPoint() const
     84 {
     85     return !isEmpty();
     86 }
     87 
     88 FloatPoint Path::currentPoint() const
     89 {
     90     // FIXME: Is this the correct way?
     91     double x;
     92     double y;
     93     cairo_get_current_point(platformPath()->context(), &x, &y);
     94     return FloatPoint(x, y);
     95 }
     96 
     97 void Path::translate(const FloatSize& p)
     98 {
     99     cairo_t* cr = platformPath()->context();
    100     cairo_translate(cr, -p.width(), -p.height());
    101 }
    102 
    103 void Path::moveTo(const FloatPoint& p)
    104 {
    105     cairo_t* cr = platformPath()->context();
    106     cairo_move_to(cr, p.x(), p.y());
    107 }
    108 
    109 void Path::addLineTo(const FloatPoint& p)
    110 {
    111     cairo_t* cr = platformPath()->context();
    112     cairo_line_to(cr, p.x(), p.y());
    113 }
    114 
    115 void Path::addRect(const FloatRect& rect)
    116 {
    117     cairo_t* cr = platformPath()->context();
    118     cairo_rectangle(cr, rect.x(), rect.y(), rect.width(), rect.height());
    119 }
    120 
    121 /*
    122  * inspired by libsvg-cairo
    123  */
    124 void Path::addQuadCurveTo(const FloatPoint& controlPoint, const FloatPoint& point)
    125 {
    126     cairo_t* cr = platformPath()->context();
    127     double x, y;
    128     double x1 = controlPoint.x();
    129     double y1 = controlPoint.y();
    130     double x2 = point.x();
    131     double y2 = point.y();
    132     cairo_get_current_point(cr, &x, &y);
    133     cairo_curve_to(cr,
    134                    x  + 2.0 / 3.0 * (x1 - x),  y  + 2.0 / 3.0 * (y1 - y),
    135                    x2 + 2.0 / 3.0 * (x1 - x2), y2 + 2.0 / 3.0 * (y1 - y2),
    136                    x2, y2);
    137 }
    138 
    139 void Path::addBezierCurveTo(const FloatPoint& controlPoint1, const FloatPoint& controlPoint2, const FloatPoint& controlPoint3)
    140 {
    141     cairo_t* cr = platformPath()->context();
    142     cairo_curve_to(cr, controlPoint1.x(), controlPoint1.y(),
    143                    controlPoint2.x(), controlPoint2.y(),
    144                    controlPoint3.x(), controlPoint3.y());
    145 }
    146 
    147 void Path::addArc(const FloatPoint& p, float r, float startAngle, float endAngle, bool anticlockwise)
    148 {
    149     // http://bugs.webkit.org/show_bug.cgi?id=16449
    150     // cairo_arc() functions hang or crash when passed inf as radius or start/end angle
    151     if (!isfinite(r) || !isfinite(startAngle) || !isfinite(endAngle))
    152         return;
    153 
    154     cairo_t* cr = platformPath()->context();
    155     float sweep = endAngle - startAngle;
    156     const float twoPI = 2 * piFloat;
    157     if ((sweep <= -twoPI || sweep >= twoPI)
    158         && ((anticlockwise && (endAngle < startAngle)) || (!anticlockwise && (startAngle < endAngle)))) {
    159         if (anticlockwise)
    160             cairo_arc_negative(cr, p.x(), p.y(), r, startAngle, startAngle - twoPI);
    161         else
    162             cairo_arc(cr, p.x(), p.y(), r, startAngle, startAngle + twoPI);
    163         cairo_new_sub_path(cr);
    164         cairo_arc(cr, p.x(), p.y(), r, endAngle, endAngle);
    165     } else {
    166         if (anticlockwise)
    167             cairo_arc_negative(cr, p.x(), p.y(), r, startAngle, endAngle);
    168         else
    169             cairo_arc(cr, p.x(), p.y(), r, startAngle, endAngle);
    170     }
    171 }
    172 
    173 static inline float areaOfTriangleFormedByPoints(const FloatPoint& p1, const FloatPoint& p2, const FloatPoint& p3)
    174 {
    175     return p1.x() * (p2.y() - p3.y()) + p2.x() * (p3.y() - p1.y()) + p3.x() * (p1.y() - p2.y());
    176 }
    177 
    178 void Path::addArcTo(const FloatPoint& p1, const FloatPoint& p2, float radius)
    179 {
    180     if (isEmpty())
    181         return;
    182 
    183     cairo_t* cr = platformPath()->context();
    184 
    185     double x0, y0;
    186     cairo_get_current_point(cr, &x0, &y0);
    187     FloatPoint p0(x0, y0);
    188 
    189     // Draw only a straight line to p1 if any of the points are equal or the radius is zero
    190     // or the points are collinear (triangle that the points form has area of zero value).
    191     if ((p1.x() == p0.x() && p1.y() == p0.y()) || (p1.x() == p2.x() && p1.y() == p2.y()) || !radius
    192         || !areaOfTriangleFormedByPoints(p0, p1, p2)) {
    193         cairo_line_to(cr, p1.x(), p1.y());
    194         return;
    195     }
    196 
    197     FloatPoint p1p0((p0.x() - p1.x()),(p0.y() - p1.y()));
    198     FloatPoint p1p2((p2.x() - p1.x()),(p2.y() - p1.y()));
    199     float p1p0_length = sqrtf(p1p0.x() * p1p0.x() + p1p0.y() * p1p0.y());
    200     float p1p2_length = sqrtf(p1p2.x() * p1p2.x() + p1p2.y() * p1p2.y());
    201 
    202     double cos_phi = (p1p0.x() * p1p2.x() + p1p0.y() * p1p2.y()) / (p1p0_length * p1p2_length);
    203     // all points on a line logic
    204     if (cos_phi == -1) {
    205         cairo_line_to(cr, p1.x(), p1.y());
    206         return;
    207     }
    208     if (cos_phi == 1) {
    209         // add infinite far away point
    210         unsigned int max_length = 65535;
    211         double factor_max = max_length / p1p0_length;
    212         FloatPoint ep((p0.x() + factor_max * p1p0.x()), (p0.y() + factor_max * p1p0.y()));
    213         cairo_line_to(cr, ep.x(), ep.y());
    214         return;
    215     }
    216 
    217     float tangent = radius / tan(acos(cos_phi) / 2);
    218     float factor_p1p0 = tangent / p1p0_length;
    219     FloatPoint t_p1p0((p1.x() + factor_p1p0 * p1p0.x()), (p1.y() + factor_p1p0 * p1p0.y()));
    220 
    221     FloatPoint orth_p1p0(p1p0.y(), -p1p0.x());
    222     float orth_p1p0_length = sqrt(orth_p1p0.x() * orth_p1p0.x() + orth_p1p0.y() * orth_p1p0.y());
    223     float factor_ra = radius / orth_p1p0_length;
    224 
    225     // angle between orth_p1p0 and p1p2 to get the right vector orthographic to p1p0
    226     double cos_alpha = (orth_p1p0.x() * p1p2.x() + orth_p1p0.y() * p1p2.y()) / (orth_p1p0_length * p1p2_length);
    227     if (cos_alpha < 0.f)
    228         orth_p1p0 = FloatPoint(-orth_p1p0.x(), -orth_p1p0.y());
    229 
    230     FloatPoint p((t_p1p0.x() + factor_ra * orth_p1p0.x()), (t_p1p0.y() + factor_ra * orth_p1p0.y()));
    231 
    232     // calculate angles for addArc
    233     orth_p1p0 = FloatPoint(-orth_p1p0.x(), -orth_p1p0.y());
    234     float sa = acos(orth_p1p0.x() / orth_p1p0_length);
    235     if (orth_p1p0.y() < 0.f)
    236         sa = 2 * piDouble - sa;
    237 
    238     // anticlockwise logic
    239     bool anticlockwise = false;
    240 
    241     float factor_p1p2 = tangent / p1p2_length;
    242     FloatPoint t_p1p2((p1.x() + factor_p1p2 * p1p2.x()), (p1.y() + factor_p1p2 * p1p2.y()));
    243     FloatPoint orth_p1p2((t_p1p2.x() - p.x()),(t_p1p2.y() - p.y()));
    244     float orth_p1p2_length = sqrtf(orth_p1p2.x() * orth_p1p2.x() + orth_p1p2.y() * orth_p1p2.y());
    245     float ea = acos(orth_p1p2.x() / orth_p1p2_length);
    246     if (orth_p1p2.y() < 0)
    247         ea = 2 * piDouble - ea;
    248     if ((sa > ea) && ((sa - ea) < piDouble))
    249         anticlockwise = true;
    250     if ((sa < ea) && ((ea - sa) > piDouble))
    251         anticlockwise = true;
    252 
    253     cairo_line_to(cr, t_p1p0.x(), t_p1p0.y());
    254 
    255     addArc(p, radius, sa, ea, anticlockwise);
    256 }
    257 
    258 void Path::addEllipse(const FloatRect& rect)
    259 {
    260     cairo_t* cr = platformPath()->context();
    261     cairo_save(cr);
    262     float yRadius = .5 * rect.height();
    263     float xRadius = .5 * rect.width();
    264     cairo_translate(cr, rect.x() + xRadius, rect.y() + yRadius);
    265     cairo_scale(cr, xRadius, yRadius);
    266     cairo_arc(cr, 0., 0., 1., 0., 2 * piDouble);
    267     cairo_restore(cr);
    268 }
    269 
    270 void Path::closeSubpath()
    271 {
    272     cairo_t* cr = platformPath()->context();
    273     cairo_close_path(cr);
    274 }
    275 
    276 FloatRect Path::boundingRect() const
    277 {
    278     cairo_t* cr = platformPath()->context();
    279     double x0, x1, y0, y1;
    280     cairo_path_extents(cr, &x0, &y0, &x1, &y1);
    281     return FloatRect(x0, y0, x1 - x0, y1 - y0);
    282 }
    283 
    284 FloatRect Path::strokeBoundingRect(StrokeStyleApplier* applier) const
    285 {
    286     cairo_t* cr = platformPath()->context();
    287     if (applier) {
    288         GraphicsContext gc(cr);
    289         applier->strokeStyle(&gc);
    290     }
    291 
    292     double x0, x1, y0, y1;
    293     cairo_stroke_extents(cr, &x0, &y0, &x1, &y1);
    294     return FloatRect(x0, y0, x1 - x0, y1 - y0);
    295 }
    296 
    297 bool Path::contains(const FloatPoint& point, WindRule rule) const
    298 {
    299     if (!isfinite(point.x()) || !isfinite(point.y()))
    300         return false;
    301     cairo_t* cr = platformPath()->context();
    302     cairo_fill_rule_t cur = cairo_get_fill_rule(cr);
    303     cairo_set_fill_rule(cr, rule == RULE_EVENODD ? CAIRO_FILL_RULE_EVEN_ODD : CAIRO_FILL_RULE_WINDING);
    304     bool contains = cairo_in_fill(cr, point.x(), point.y());
    305     cairo_set_fill_rule(cr, cur);
    306     return contains;
    307 }
    308 
    309 bool Path::strokeContains(StrokeStyleApplier* applier, const FloatPoint& point) const
    310 {
    311     ASSERT(applier);
    312     cairo_t* cr = platformPath()->context();
    313     GraphicsContext gc(cr);
    314     applier->strokeStyle(&gc);
    315 
    316     return cairo_in_stroke(cr, point.x(), point.y());
    317 }
    318 
    319 void Path::apply(void* info, PathApplierFunction function) const
    320 {
    321     cairo_t* cr = platformPath()->context();
    322     OwnPtr<cairo_path_t> path(cairo_copy_path(cr));
    323     cairo_path_data_t* data;
    324     PathElement pelement;
    325     FloatPoint points[3];
    326     pelement.points = points;
    327 
    328     for (int i = 0; i < path->num_data; i += path->data[i].header.length) {
    329         data = &path->data[i];
    330         switch (data->header.type) {
    331         case CAIRO_PATH_MOVE_TO:
    332             pelement.type = PathElementMoveToPoint;
    333             pelement.points[0] = FloatPoint(data[1].point.x,data[1].point.y);
    334             function(info, &pelement);
    335             break;
    336         case CAIRO_PATH_LINE_TO:
    337             pelement.type = PathElementAddLineToPoint;
    338             pelement.points[0] = FloatPoint(data[1].point.x,data[1].point.y);
    339             function(info, &pelement);
    340             break;
    341         case CAIRO_PATH_CURVE_TO:
    342             pelement.type = PathElementAddCurveToPoint;
    343             pelement.points[0] = FloatPoint(data[1].point.x,data[1].point.y);
    344             pelement.points[1] = FloatPoint(data[2].point.x,data[2].point.y);
    345             pelement.points[2] = FloatPoint(data[3].point.x,data[3].point.y);
    346             function(info, &pelement);
    347             break;
    348         case CAIRO_PATH_CLOSE_PATH:
    349             pelement.type = PathElementCloseSubpath;
    350             function(info, &pelement);
    351             break;
    352         }
    353     }
    354 }
    355 
    356 void Path::transform(const AffineTransform& trans)
    357 {
    358     cairo_t* cr = platformPath()->context();
    359     cairo_matrix_t c_matrix = cairo_matrix_t(trans);
    360     cairo_matrix_invert(&c_matrix);
    361     cairo_transform(cr, &c_matrix);
    362 }
    363 
    364 } // namespace WebCore
    365