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1 /*
2  * Copyright 2017 Google Inc.
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #include "include/core/SkMatrix.h"
9 #include "include/core/SkPath.h"
10 #include "include/core/SkRect.h"
11 #include "include/private/SkShadowFlags.h"
12 #include "src/core/SkDrawShadowInfo.h"
13 #include "src/utils/SkPolyUtils.h"
14 
15 namespace SkDrawShadowMetrics {
16 
compute_z(SkScalar x,SkScalar y,const SkPoint3 & params)17 static SkScalar compute_z(SkScalar x, SkScalar y, const SkPoint3& params) {
18     return x*params.fX + y*params.fY + params.fZ;
19 }
20 
GetSpotShadowTransform(const SkPoint3 & lightPos,SkScalar lightRadius,const SkMatrix & ctm,const SkPoint3 & zPlaneParams,const SkRect & pathBounds,bool directional,SkMatrix * shadowTransform,SkScalar * radius)21 bool GetSpotShadowTransform(const SkPoint3& lightPos, SkScalar lightRadius,
22                             const SkMatrix& ctm, const SkPoint3& zPlaneParams,
23                             const SkRect& pathBounds, bool directional,
24                             SkMatrix* shadowTransform, SkScalar* radius) {
25     auto heightFunc = [zPlaneParams] (SkScalar x, SkScalar y) {
26         return zPlaneParams.fX*x + zPlaneParams.fY*y + zPlaneParams.fZ;
27     };
28     SkScalar occluderHeight = heightFunc(pathBounds.centerX(), pathBounds.centerY());
29 
30     // TODO: have directional lights support tilt via the zPlaneParams
31     if (!ctm.hasPerspective() || directional) {
32         SkScalar scale;
33         SkVector translate;
34         if (directional) {
35             SkDrawShadowMetrics::GetDirectionalParams(occluderHeight, lightPos.fX, lightPos.fY,
36                                                       lightPos.fZ, lightRadius, radius,
37                                                       &scale, &translate);
38         } else {
39             SkDrawShadowMetrics::GetSpotParams(occluderHeight, lightPos.fX, lightPos.fY,
40                                                lightPos.fZ, lightRadius, radius,
41                                                &scale, &translate);
42         }
43         shadowTransform->setScaleTranslate(scale, scale, translate.fX, translate.fY);
44         shadowTransform->preConcat(ctm);
45     } else {
46         if (SkScalarNearlyZero(pathBounds.width()) || SkScalarNearlyZero(pathBounds.height())) {
47             return false;
48         }
49 
50         // get rotated quad in 3D
51         SkPoint pts[4];
52         ctm.mapRectToQuad(pts, pathBounds);
53         // No shadows for bowties or other degenerate cases
54         if (!SkIsConvexPolygon(pts, 4)) {
55             return false;
56         }
57         SkPoint3 pts3D[4];
58         SkScalar z = heightFunc(pathBounds.fLeft, pathBounds.fTop);
59         pts3D[0].set(pts[0].fX, pts[0].fY, z);
60         z = heightFunc(pathBounds.fRight, pathBounds.fTop);
61         pts3D[1].set(pts[1].fX, pts[1].fY, z);
62         z = heightFunc(pathBounds.fRight, pathBounds.fBottom);
63         pts3D[2].set(pts[2].fX, pts[2].fY, z);
64         z = heightFunc(pathBounds.fLeft, pathBounds.fBottom);
65         pts3D[3].set(pts[3].fX, pts[3].fY, z);
66 
67         // project from light through corners to z=0 plane
68         for (int i = 0; i < 4; ++i) {
69             SkScalar dz = lightPos.fZ - pts3D[i].fZ;
70             // light shouldn't be below or at a corner's z-location
71             if (dz <= SK_ScalarNearlyZero) {
72                 return false;
73             }
74             SkScalar zRatio = pts3D[i].fZ / dz;
75             pts3D[i].fX -= (lightPos.fX - pts3D[i].fX)*zRatio;
76             pts3D[i].fY -= (lightPos.fY - pts3D[i].fY)*zRatio;
77             pts3D[i].fZ = SK_Scalar1;
78         }
79 
80         // Generate matrix that projects from [-1,1]x[-1,1] square to projected quad
81         SkPoint3 h0, h1, h2;
82         // Compute homogenous crossing point between top and bottom edges (gives new x-axis).
83         h0 = (pts3D[1].cross(pts3D[0])).cross(pts3D[2].cross(pts3D[3]));
84         // Compute homogenous crossing point between left and right edges (gives new y-axis).
85         h1 = (pts3D[0].cross(pts3D[3])).cross(pts3D[1].cross(pts3D[2]));
86         // Compute homogenous crossing point between diagonals (gives new origin).
87         h2 = (pts3D[0].cross(pts3D[2])).cross(pts3D[1].cross(pts3D[3]));
88         // If h2 is a vector (z=0 in 2D homogeneous space), that means that at least
89         // two of the quad corners are coincident and we don't have a realistic projection
90         if (SkScalarNearlyZero(h2.fZ)) {
91             return false;
92         }
93         // In some cases the crossing points are in the wrong direction
94         // to map (-1,-1) to pts3D[0], so we need to correct for that.
95         // Want h0 to be to the right of the left edge.
96         SkVector3 v = pts3D[3] - pts3D[0];
97         SkVector3 w = h0 - pts3D[0];
98         SkScalar perpDot = v.fX*w.fY - v.fY*w.fX;
99         if (perpDot > 0) {
100             h0 = -h0;
101         }
102         // Want h1 to be above the bottom edge.
103         v = pts3D[1] - pts3D[0];
104         perpDot = v.fX*w.fY - v.fY*w.fX;
105         if (perpDot < 0) {
106             h1 = -h1;
107         }
108         shadowTransform->setAll(h0.fX / h2.fZ, h1.fX / h2.fZ, h2.fX / h2.fZ,
109                                h0.fY / h2.fZ, h1.fY / h2.fZ, h2.fY / h2.fZ,
110                                h0.fZ / h2.fZ, h1.fZ / h2.fZ, 1);
111         // generate matrix that transforms from bounds to [-1,1]x[-1,1] square
112         SkMatrix toHomogeneous;
113         SkScalar xScale = 2/(pathBounds.fRight - pathBounds.fLeft);
114         SkScalar yScale = 2/(pathBounds.fBottom - pathBounds.fTop);
115         toHomogeneous.setAll(xScale, 0, -xScale*pathBounds.fLeft - 1,
116                              0, yScale, -yScale*pathBounds.fTop - 1,
117                              0, 0, 1);
118         shadowTransform->preConcat(toHomogeneous);
119 
120         *radius = SkDrawShadowMetrics::SpotBlurRadius(occluderHeight, lightPos.fZ, lightRadius);
121     }
122 
123     return true;
124 }
125 
GetLocalBounds(const SkPath & path,const SkDrawShadowRec & rec,const SkMatrix & ctm,SkRect * bounds)126 void GetLocalBounds(const SkPath& path, const SkDrawShadowRec& rec, const SkMatrix& ctm,
127                     SkRect* bounds) {
128     SkRect ambientBounds = path.getBounds();
129     SkScalar occluderZ;
130     if (SkScalarNearlyZero(rec.fZPlaneParams.fX) && SkScalarNearlyZero(rec.fZPlaneParams.fY)) {
131         occluderZ = rec.fZPlaneParams.fZ;
132     } else {
133         occluderZ = compute_z(ambientBounds.fLeft, ambientBounds.fTop, rec.fZPlaneParams);
134         occluderZ = std::max(occluderZ, compute_z(ambientBounds.fRight, ambientBounds.fTop,
135                                                 rec.fZPlaneParams));
136         occluderZ = std::max(occluderZ, compute_z(ambientBounds.fLeft, ambientBounds.fBottom,
137                                                 rec.fZPlaneParams));
138         occluderZ = std::max(occluderZ, compute_z(ambientBounds.fRight, ambientBounds.fBottom,
139                                                 rec.fZPlaneParams));
140     }
141     SkScalar ambientBlur;
142     SkScalar spotBlur;
143     SkScalar spotScale;
144     SkPoint spotOffset;
145     if (ctm.hasPerspective()) {
146         // transform ambient and spot bounds into device space
147         ctm.mapRect(&ambientBounds);
148 
149         // get ambient blur (in device space)
150         ambientBlur = SkDrawShadowMetrics::AmbientBlurRadius(occluderZ);
151 
152         // get spot params (in device space)
153         if (SkToBool(rec.fFlags & SkShadowFlags::kDirectionalLight_ShadowFlag)) {
154             SkDrawShadowMetrics::GetDirectionalParams(occluderZ, rec.fLightPos.fX, rec.fLightPos.fY,
155                                                       rec.fLightPos.fZ, rec.fLightRadius,
156                                                       &spotBlur, &spotScale, &spotOffset);
157         } else {
158             SkPoint devLightPos = SkPoint::Make(rec.fLightPos.fX, rec.fLightPos.fY);
159             ctm.mapPoints(&devLightPos, 1);
160             SkDrawShadowMetrics::GetSpotParams(occluderZ, devLightPos.fX, devLightPos.fY,
161                                                rec.fLightPos.fZ, rec.fLightRadius,
162                                                &spotBlur, &spotScale, &spotOffset);
163         }
164     } else {
165         SkScalar devToSrcScale = SkScalarInvert(ctm.getMinScale());
166 
167         // get ambient blur (in local space)
168         SkScalar devSpaceAmbientBlur = SkDrawShadowMetrics::AmbientBlurRadius(occluderZ);
169         ambientBlur = devSpaceAmbientBlur*devToSrcScale;
170 
171         // get spot params (in local space)
172         if (SkToBool(rec.fFlags & SkShadowFlags::kDirectionalLight_ShadowFlag)) {
173             SkDrawShadowMetrics::GetDirectionalParams(occluderZ, rec.fLightPos.fX, rec.fLightPos.fY,
174                                                       rec.fLightPos.fZ, rec.fLightRadius,
175                                                       &spotBlur, &spotScale, &spotOffset);
176             // light dir is in device space, so need to map spot offset back into local space
177             SkMatrix inverse;
178             if (ctm.invert(&inverse)) {
179                 inverse.mapVectors(&spotOffset, 1);
180             }
181         } else {
182             SkDrawShadowMetrics::GetSpotParams(occluderZ, rec.fLightPos.fX, rec.fLightPos.fY,
183                                                rec.fLightPos.fZ, rec.fLightRadius,
184                                                &spotBlur, &spotScale, &spotOffset);
185         }
186 
187         // convert spot blur to local space
188         spotBlur *= devToSrcScale;
189     }
190 
191     // in both cases, adjust ambient and spot bounds
192     SkRect spotBounds = ambientBounds;
193     ambientBounds.outset(ambientBlur, ambientBlur);
194     spotBounds.fLeft *= spotScale;
195     spotBounds.fTop *= spotScale;
196     spotBounds.fRight *= spotScale;
197     spotBounds.fBottom *= spotScale;
198     spotBounds.offset(spotOffset.fX, spotOffset.fY);
199     spotBounds.outset(spotBlur, spotBlur);
200 
201     // merge bounds
202     *bounds = ambientBounds;
203     bounds->join(spotBounds);
204     // outset a bit to account for floating point error
205     bounds->outset(1, 1);
206 
207     // if perspective, transform back to src space
208     if (ctm.hasPerspective()) {
209         // TODO: create tighter mapping from dev rect back to src rect
210         SkMatrix inverse;
211         if (ctm.invert(&inverse)) {
212             inverse.mapRect(bounds);
213         }
214     }
215 }
216 
217 
218 }  // namespace SkDrawShadowMetrics
219 
220