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 "src/pdf/SkPDFGradientShader.h"
9 
10 #include "include/docs/SkPDFDocument.h"
11 #include "src/core/SkOpts.h"
12 #include "src/pdf/SkPDFDocumentPriv.h"
13 #include "src/pdf/SkPDFFormXObject.h"
14 #include "src/pdf/SkPDFGraphicState.h"
15 #include "src/pdf/SkPDFResourceDict.h"
16 #include "src/pdf/SkPDFTypes.h"
17 #include "src/pdf/SkPDFUtils.h"
18 
hash(const SkShader::GradientInfo & v)19 static uint32_t hash(const SkShader::GradientInfo& v) {
20     uint32_t buffer[] = {
21         (uint32_t)v.fColorCount,
22         SkOpts::hash(v.fColors, v.fColorCount * sizeof(SkColor)),
23         SkOpts::hash(v.fColorOffsets, v.fColorCount * sizeof(SkScalar)),
24         SkOpts::hash(v.fPoint, 2 * sizeof(SkPoint)),
25         SkOpts::hash(v.fRadius, 2 * sizeof(SkScalar)),
26         (uint32_t)v.fTileMode,
27         v.fGradientFlags,
28     };
29     return SkOpts::hash(buffer, sizeof(buffer));
30 }
31 
hash(const SkPDFGradientShader::Key & k)32 static uint32_t hash(const SkPDFGradientShader::Key& k) {
33     uint32_t buffer[] = {
34         (uint32_t)k.fType,
35         hash(k.fInfo),
36         SkOpts::hash(&k.fCanvasTransform, sizeof(SkMatrix)),
37         SkOpts::hash(&k.fShaderTransform, sizeof(SkMatrix)),
38         SkOpts::hash(&k.fBBox, sizeof(SkIRect))
39     };
40     return SkOpts::hash(buffer, sizeof(buffer));
41 }
42 
unit_to_points_matrix(const SkPoint pts[2],SkMatrix * matrix)43 static void unit_to_points_matrix(const SkPoint pts[2], SkMatrix* matrix) {
44     SkVector    vec = pts[1] - pts[0];
45     SkScalar    mag = vec.length();
46     SkScalar    inv = mag ? SkScalarInvert(mag) : 0;
47 
48     vec.scale(inv);
49     matrix->setSinCos(vec.fY, vec.fX);
50     matrix->preScale(mag, mag);
51     matrix->postTranslate(pts[0].fX, pts[0].fY);
52 }
53 
54 static const int kColorComponents = 3;
55 typedef uint8_t ColorTuple[kColorComponents];
56 
57 /* Assumes t + startOffset is on the stack and does a linear interpolation on t
58    between startOffset and endOffset from prevColor to curColor (for each color
59    component), leaving the result in component order on the stack. It assumes
60    there are always 3 components per color.
61    @param range                  endOffset - startOffset
62    @param curColor[components]   The current color components.
63    @param prevColor[components]  The previous color components.
64    @param result                 The result ps function.
65  */
interpolate_color_code(SkScalar range,const ColorTuple & curColor,const ColorTuple & prevColor,SkDynamicMemoryWStream * result)66 static void interpolate_color_code(SkScalar range, const ColorTuple& curColor,
67                                    const ColorTuple& prevColor,
68                                    SkDynamicMemoryWStream* result) {
69     SkASSERT(range != SkIntToScalar(0));
70 
71     // Figure out how to scale each color component.
72     SkScalar multiplier[kColorComponents];
73     for (int i = 0; i < kColorComponents; i++) {
74         static const SkScalar kColorScale = SkScalarInvert(255);
75         multiplier[i] = kColorScale * (curColor[i] - prevColor[i]) / range;
76     }
77 
78     // Calculate when we no longer need to keep a copy of the input parameter t.
79     // If the last component to use t is i, then dupInput[0..i - 1] = true
80     // and dupInput[i .. components] = false.
81     bool dupInput[kColorComponents];
82     dupInput[kColorComponents - 1] = false;
83     for (int i = kColorComponents - 2; i >= 0; i--) {
84         dupInput[i] = dupInput[i + 1] || multiplier[i + 1] != 0;
85     }
86 
87     if (!dupInput[0] && multiplier[0] == 0) {
88         result->writeText("pop ");
89     }
90 
91     for (int i = 0; i < kColorComponents; i++) {
92         // If the next components needs t and this component will consume a
93         // copy, make another copy.
94         if (dupInput[i] && multiplier[i] != 0) {
95             result->writeText("dup ");
96         }
97 
98         if (multiplier[i] == 0) {
99             SkPDFUtils::AppendColorComponent(prevColor[i], result);
100             result->writeText(" ");
101         } else {
102             if (multiplier[i] != 1) {
103                 SkPDFUtils::AppendScalar(multiplier[i], result);
104                 result->writeText(" mul ");
105             }
106             if (prevColor[i] != 0) {
107                 SkPDFUtils::AppendColorComponent(prevColor[i], result);
108                 result->writeText(" add ");
109             }
110         }
111 
112         if (dupInput[i]) {
113             result->writeText("exch\n");
114         }
115     }
116 }
117 
118 /* Generate Type 4 function code to map t=[0,1) to the passed gradient,
119    clamping at the edges of the range.  The generated code will be of the form:
120        if (t < 0) {
121            return colorData[0][r,g,b];
122        } else {
123            if (t < info.fColorOffsets[1]) {
124                return linearinterpolation(colorData[0][r,g,b],
125                                           colorData[1][r,g,b]);
126            } else {
127                if (t < info.fColorOffsets[2]) {
128                    return linearinterpolation(colorData[1][r,g,b],
129                                               colorData[2][r,g,b]);
130                } else {
131 
132                 ...    } else {
133                            return colorData[info.fColorCount - 1][r,g,b];
134                        }
135                 ...
136            }
137        }
138  */
gradient_function_code(const SkShader::GradientInfo & info,SkDynamicMemoryWStream * result)139 static void gradient_function_code(const SkShader::GradientInfo& info,
140                                  SkDynamicMemoryWStream* result) {
141     /* We want to linearly interpolate from the previous color to the next.
142        Scale the colors from 0..255 to 0..1 and determine the multipliers
143        for interpolation.
144        C{r,g,b}(t, section) = t - offset_(section-1) + t * Multiplier{r,g,b}.
145      */
146 
147     SkAutoSTMalloc<4, ColorTuple> colorDataAlloc(info.fColorCount);
148     ColorTuple *colorData = colorDataAlloc.get();
149     for (int i = 0; i < info.fColorCount; i++) {
150         colorData[i][0] = SkColorGetR(info.fColors[i]);
151         colorData[i][1] = SkColorGetG(info.fColors[i]);
152         colorData[i][2] = SkColorGetB(info.fColors[i]);
153     }
154 
155     // Clamp the initial color.
156     result->writeText("dup 0 le {pop ");
157     SkPDFUtils::AppendColorComponent(colorData[0][0], result);
158     result->writeText(" ");
159     SkPDFUtils::AppendColorComponent(colorData[0][1], result);
160     result->writeText(" ");
161     SkPDFUtils::AppendColorComponent(colorData[0][2], result);
162     result->writeText(" }\n");
163 
164     // The gradient colors.
165     int gradients = 0;
166     for (int i = 1 ; i < info.fColorCount; i++) {
167         if (info.fColorOffsets[i] == info.fColorOffsets[i - 1]) {
168             continue;
169         }
170         gradients++;
171 
172         result->writeText("{dup ");
173         SkPDFUtils::AppendScalar(info.fColorOffsets[i], result);
174         result->writeText(" le {");
175         if (info.fColorOffsets[i - 1] != 0) {
176             SkPDFUtils::AppendScalar(info.fColorOffsets[i - 1], result);
177             result->writeText(" sub\n");
178         }
179 
180         interpolate_color_code(info.fColorOffsets[i] - info.fColorOffsets[i - 1],
181                              colorData[i], colorData[i - 1], result);
182         result->writeText("}\n");
183     }
184 
185     // Clamp the final color.
186     result->writeText("{pop ");
187     SkPDFUtils::AppendColorComponent(colorData[info.fColorCount - 1][0], result);
188     result->writeText(" ");
189     SkPDFUtils::AppendColorComponent(colorData[info.fColorCount - 1][1], result);
190     result->writeText(" ");
191     SkPDFUtils::AppendColorComponent(colorData[info.fColorCount - 1][2], result);
192 
193     for (int i = 0 ; i < gradients + 1; i++) {
194         result->writeText("} ifelse\n");
195     }
196 }
197 
createInterpolationFunction(const ColorTuple & color1,const ColorTuple & color2)198 static std::unique_ptr<SkPDFDict> createInterpolationFunction(const ColorTuple& color1,
199                                                     const ColorTuple& color2) {
200     auto retval = SkPDFMakeDict();
201 
202     auto c0 = SkPDFMakeArray();
203     c0->appendColorComponent(color1[0]);
204     c0->appendColorComponent(color1[1]);
205     c0->appendColorComponent(color1[2]);
206     retval->insertObject("C0", std::move(c0));
207 
208     auto c1 = SkPDFMakeArray();
209     c1->appendColorComponent(color2[0]);
210     c1->appendColorComponent(color2[1]);
211     c1->appendColorComponent(color2[2]);
212     retval->insertObject("C1", std::move(c1));
213 
214     retval->insertObject("Domain", SkPDFMakeArray(0, 1));
215 
216     retval->insertInt("FunctionType", 2);
217     retval->insertScalar("N", 1.0f);
218 
219     return retval;
220 }
221 
gradientStitchCode(const SkShader::GradientInfo & info)222 static std::unique_ptr<SkPDFDict> gradientStitchCode(const SkShader::GradientInfo& info) {
223     auto retval = SkPDFMakeDict();
224 
225     // normalize color stops
226     int colorCount = info.fColorCount;
227     std::vector<SkColor>  colors(info.fColors, info.fColors + colorCount);
228     std::vector<SkScalar> colorOffsets(info.fColorOffsets, info.fColorOffsets + colorCount);
229 
230     int i = 1;
231     while (i < colorCount - 1) {
232         // ensure stops are in order
233         if (colorOffsets[i - 1] > colorOffsets[i]) {
234             colorOffsets[i] = colorOffsets[i - 1];
235         }
236 
237         // remove points that are between 2 coincident points
238         if ((colorOffsets[i - 1] == colorOffsets[i]) && (colorOffsets[i] == colorOffsets[i + 1])) {
239             colorCount -= 1;
240             colors.erase(colors.begin() + i);
241             colorOffsets.erase(colorOffsets.begin() + i);
242         } else {
243             i++;
244         }
245     }
246     // find coincident points and slightly move them over
247     for (i = 1; i < colorCount - 1; i++) {
248         if (colorOffsets[i - 1] == colorOffsets[i]) {
249             colorOffsets[i] += 0.00001f;
250         }
251     }
252     // check if last 2 stops coincide
253     if (colorOffsets[i - 1] == colorOffsets[i]) {
254         colorOffsets[i - 1] -= 0.00001f;
255     }
256 
257     SkAutoSTMalloc<4, ColorTuple> colorDataAlloc(colorCount);
258     ColorTuple *colorData = colorDataAlloc.get();
259     for (int i = 0; i < colorCount; i++) {
260         colorData[i][0] = SkColorGetR(colors[i]);
261         colorData[i][1] = SkColorGetG(colors[i]);
262         colorData[i][2] = SkColorGetB(colors[i]);
263     }
264 
265     // no need for a stitch function if there are only 2 stops.
266     if (colorCount == 2)
267         return createInterpolationFunction(colorData[0], colorData[1]);
268 
269     auto encode = SkPDFMakeArray();
270     auto bounds = SkPDFMakeArray();
271     auto functions = SkPDFMakeArray();
272 
273     retval->insertObject("Domain", SkPDFMakeArray(0, 1));
274     retval->insertInt("FunctionType", 3);
275 
276     for (int i = 1; i < colorCount; i++) {
277         if (i > 1) {
278             bounds->appendScalar(colorOffsets[i-1]);
279         }
280 
281         encode->appendScalar(0);
282         encode->appendScalar(1.0f);
283 
284         functions->appendObject(createInterpolationFunction(colorData[i-1], colorData[i]));
285     }
286 
287     retval->insertObject("Encode", std::move(encode));
288     retval->insertObject("Bounds", std::move(bounds));
289     retval->insertObject("Functions", std::move(functions));
290 
291     return retval;
292 }
293 
294 /* Map a value of t on the stack into [0, 1) for Repeat or Mirror tile mode. */
tileModeCode(SkTileMode mode,SkDynamicMemoryWStream * result)295 static void tileModeCode(SkTileMode mode, SkDynamicMemoryWStream* result) {
296     if (mode == SkTileMode::kRepeat) {
297         result->writeText("dup truncate sub\n");  // Get the fractional part.
298         result->writeText("dup 0 le {1 add} if\n");  // Map (-1,0) => (0,1)
299         return;
300     }
301 
302     if (mode == SkTileMode::kMirror) {
303         // Map t mod 2 into [0, 1, 1, 0].
304         //               Code                     Stack
305         result->writeText("abs "                 // Map negative to positive.
306                           "dup "                 // t.s t.s
307                           "truncate "            // t.s t
308                           "dup "                 // t.s t t
309                           "cvi "                 // t.s t T
310                           "2 mod "               // t.s t (i mod 2)
311                           "1 eq "                // t.s t true|false
312                           "3 1 roll "            // true|false t.s t
313                           "sub "                 // true|false 0.s
314                           "exch "                // 0.s true|false
315                           "{1 exch sub} if\n");  // 1 - 0.s|0.s
316     }
317 }
318 
319 /**
320  *  Returns PS function code that applies inverse perspective
321  *  to a x, y point.
322  *  The function assumes that the stack has at least two elements,
323  *  and that the top 2 elements are numeric values.
324  *  After executing this code on a PS stack, the last 2 elements are updated
325  *  while the rest of the stack is preserved intact.
326  *  inversePerspectiveMatrix is the inverse perspective matrix.
327  */
apply_perspective_to_coordinates(const SkMatrix & inversePerspectiveMatrix,SkDynamicMemoryWStream * code)328 static void apply_perspective_to_coordinates(const SkMatrix& inversePerspectiveMatrix,
329                                              SkDynamicMemoryWStream* code) {
330     if (!inversePerspectiveMatrix.hasPerspective()) {
331         return;
332     }
333 
334     // Perspective matrix should be:
335     // 1   0  0
336     // 0   1  0
337     // p0 p1 p2
338 
339     const SkScalar p0 = inversePerspectiveMatrix[SkMatrix::kMPersp0];
340     const SkScalar p1 = inversePerspectiveMatrix[SkMatrix::kMPersp1];
341     const SkScalar p2 = inversePerspectiveMatrix[SkMatrix::kMPersp2];
342 
343     // y = y / (p2 + p0 x + p1 y)
344     // x = x / (p2 + p0 x + p1 y)
345 
346     // Input on stack: x y
347     code->writeText(" dup ");             // x y y
348     SkPDFUtils::AppendScalar(p1, code);   // x y y p1
349     code->writeText(" mul "               // x y y*p1
350                     " 2 index ");         // x y y*p1 x
351     SkPDFUtils::AppendScalar(p0, code);   // x y y p1 x p0
352     code->writeText(" mul ");             // x y y*p1 x*p0
353     SkPDFUtils::AppendScalar(p2, code);   // x y y p1 x*p0 p2
354     code->writeText(" add "               // x y y*p1 x*p0+p2
355                     "add "                // x y y*p1+x*p0+p2
356                     "3 1 roll "           // y*p1+x*p0+p2 x y
357                     "2 index "            // z x y y*p1+x*p0+p2
358                     "div "                // y*p1+x*p0+p2 x y/(y*p1+x*p0+p2)
359                     "3 1 roll "           // y/(y*p1+x*p0+p2) y*p1+x*p0+p2 x
360                     "exch "               // y/(y*p1+x*p0+p2) x y*p1+x*p0+p2
361                     "div "                // y/(y*p1+x*p0+p2) x/(y*p1+x*p0+p2)
362                     "exch\n");            // x/(y*p1+x*p0+p2) y/(y*p1+x*p0+p2)
363 }
364 
linearCode(const SkShader::GradientInfo & info,const SkMatrix & perspectiveRemover,SkDynamicMemoryWStream * function)365 static void linearCode(const SkShader::GradientInfo& info,
366                        const SkMatrix& perspectiveRemover,
367                        SkDynamicMemoryWStream* function) {
368     function->writeText("{");
369 
370     apply_perspective_to_coordinates(perspectiveRemover, function);
371 
372     function->writeText("pop\n");  // Just ditch the y value.
373     tileModeCode((SkTileMode)info.fTileMode, function);
374     gradient_function_code(info, function);
375     function->writeText("}");
376 }
377 
radialCode(const SkShader::GradientInfo & info,const SkMatrix & perspectiveRemover,SkDynamicMemoryWStream * function)378 static void radialCode(const SkShader::GradientInfo& info,
379                        const SkMatrix& perspectiveRemover,
380                        SkDynamicMemoryWStream* function) {
381     function->writeText("{");
382 
383     apply_perspective_to_coordinates(perspectiveRemover, function);
384 
385     // Find the distance from the origin.
386     function->writeText("dup "      // x y y
387                     "mul "      // x y^2
388                     "exch "     // y^2 x
389                     "dup "      // y^2 x x
390                     "mul "      // y^2 x^2
391                     "add "      // y^2+x^2
392                     "sqrt\n");  // sqrt(y^2+x^2)
393 
394     tileModeCode((SkTileMode)info.fTileMode, function);
395     gradient_function_code(info, function);
396     function->writeText("}");
397 }
398 
399 /* Conical gradient shader, based on the Canvas spec for radial gradients
400    See: http://www.w3.org/TR/2dcontext/#dom-context-2d-createradialgradient
401  */
twoPointConicalCode(const SkShader::GradientInfo & info,const SkMatrix & perspectiveRemover,SkDynamicMemoryWStream * function)402 static void twoPointConicalCode(const SkShader::GradientInfo& info,
403                                 const SkMatrix& perspectiveRemover,
404                                 SkDynamicMemoryWStream* function) {
405     SkScalar dx = info.fPoint[1].fX - info.fPoint[0].fX;
406     SkScalar dy = info.fPoint[1].fY - info.fPoint[0].fY;
407     SkScalar r0 = info.fRadius[0];
408     SkScalar dr = info.fRadius[1] - info.fRadius[0];
409     SkScalar a = dx * dx + dy * dy - dr * dr;
410 
411     // First compute t, if the pixel falls outside the cone, then we'll end
412     // with 'false' on the stack, otherwise we'll push 'true' with t below it
413 
414     // We start with a stack of (x y), copy it and then consume one copy in
415     // order to calculate b and the other to calculate c.
416     function->writeText("{");
417 
418     apply_perspective_to_coordinates(perspectiveRemover, function);
419 
420     function->writeText("2 copy ");
421 
422     // Calculate b and b^2; b = -2 * (y * dy + x * dx + r0 * dr).
423     SkPDFUtils::AppendScalar(dy, function);
424     function->writeText(" mul exch ");
425     SkPDFUtils::AppendScalar(dx, function);
426     function->writeText(" mul add ");
427     SkPDFUtils::AppendScalar(r0 * dr, function);
428     function->writeText(" add -2 mul dup dup mul\n");
429 
430     // c = x^2 + y^2 + radius0^2
431     function->writeText("4 2 roll dup mul exch dup mul add ");
432     SkPDFUtils::AppendScalar(r0 * r0, function);
433     function->writeText(" sub dup 4 1 roll\n");
434 
435     // Contents of the stack at this point: c, b, b^2, c
436 
437     // if a = 0, then we collapse to a simpler linear case
438     if (a == 0) {
439 
440         // t = -c/b
441         function->writeText("pop pop div neg dup ");
442 
443         // compute radius(t)
444         SkPDFUtils::AppendScalar(dr, function);
445         function->writeText(" mul ");
446         SkPDFUtils::AppendScalar(r0, function);
447         function->writeText(" add\n");
448 
449         // if r(t) < 0, then it's outside the cone
450         function->writeText("0 lt {pop false} {true} ifelse\n");
451 
452     } else {
453 
454         // quadratic case: the Canvas spec wants the largest
455         // root t for which radius(t) > 0
456 
457         // compute the discriminant (b^2 - 4ac)
458         SkPDFUtils::AppendScalar(a * 4, function);
459         function->writeText(" mul sub dup\n");
460 
461         // if d >= 0, proceed
462         function->writeText("0 ge {\n");
463 
464         // an intermediate value we'll use to compute the roots:
465         // q = -0.5 * (b +/- sqrt(d))
466         function->writeText("sqrt exch dup 0 lt {exch -1 mul} if");
467         function->writeText(" add -0.5 mul dup\n");
468 
469         // first root = q / a
470         SkPDFUtils::AppendScalar(a, function);
471         function->writeText(" div\n");
472 
473         // second root = c / q
474         function->writeText("3 1 roll div\n");
475 
476         // put the larger root on top of the stack
477         function->writeText("2 copy gt {exch} if\n");
478 
479         // compute radius(t) for larger root
480         function->writeText("dup ");
481         SkPDFUtils::AppendScalar(dr, function);
482         function->writeText(" mul ");
483         SkPDFUtils::AppendScalar(r0, function);
484         function->writeText(" add\n");
485 
486         // if r(t) > 0, we have our t, pop off the smaller root and we're done
487         function->writeText(" 0 gt {exch pop true}\n");
488 
489         // otherwise, throw out the larger one and try the smaller root
490         function->writeText("{pop dup\n");
491         SkPDFUtils::AppendScalar(dr, function);
492         function->writeText(" mul ");
493         SkPDFUtils::AppendScalar(r0, function);
494         function->writeText(" add\n");
495 
496         // if r(t) < 0, push false, otherwise the smaller root is our t
497         function->writeText("0 le {pop false} {true} ifelse\n");
498         function->writeText("} ifelse\n");
499 
500         // d < 0, clear the stack and push false
501         function->writeText("} {pop pop pop false} ifelse\n");
502     }
503 
504     // if the pixel is in the cone, proceed to compute a color
505     function->writeText("{");
506     tileModeCode((SkTileMode)info.fTileMode, function);
507     gradient_function_code(info, function);
508 
509     // otherwise, just write black
510     function->writeText("} {0 0 0} ifelse }");
511 }
512 
sweepCode(const SkShader::GradientInfo & info,const SkMatrix & perspectiveRemover,SkDynamicMemoryWStream * function)513 static void sweepCode(const SkShader::GradientInfo& info,
514                           const SkMatrix& perspectiveRemover,
515                           SkDynamicMemoryWStream* function) {
516     function->writeText("{exch atan 360 div\n");
517     tileModeCode((SkTileMode)info.fTileMode, function);
518     gradient_function_code(info, function);
519     function->writeText("}");
520 }
521 
522 
523 // catch cases where the inner just touches the outer circle
524 // and make the inner circle just inside the outer one to match raster
FixUpRadius(const SkPoint & p1,SkScalar & r1,const SkPoint & p2,SkScalar & r2)525 static void FixUpRadius(const SkPoint& p1, SkScalar& r1, const SkPoint& p2, SkScalar& r2) {
526     // detect touching circles
527     SkScalar distance = SkPoint::Distance(p1, p2);
528     SkScalar subtractRadii = fabs(r1 - r2);
529     if (fabs(distance - subtractRadii) < 0.002f) {
530         if (r1 > r2) {
531             r1 += 0.002f;
532         } else {
533             r2 += 0.002f;
534         }
535     }
536 }
537 
538 // Finds affine and persp such that in = affine * persp.
539 // but it returns the inverse of perspective matrix.
split_perspective(const SkMatrix in,SkMatrix * affine,SkMatrix * perspectiveInverse)540 static bool split_perspective(const SkMatrix in, SkMatrix* affine,
541                               SkMatrix* perspectiveInverse) {
542     const SkScalar p2 = in[SkMatrix::kMPersp2];
543 
544     if (SkScalarNearlyZero(p2)) {
545         return false;
546     }
547 
548     const SkScalar zero = SkIntToScalar(0);
549     const SkScalar one = SkIntToScalar(1);
550 
551     const SkScalar sx = in[SkMatrix::kMScaleX];
552     const SkScalar kx = in[SkMatrix::kMSkewX];
553     const SkScalar tx = in[SkMatrix::kMTransX];
554     const SkScalar ky = in[SkMatrix::kMSkewY];
555     const SkScalar sy = in[SkMatrix::kMScaleY];
556     const SkScalar ty = in[SkMatrix::kMTransY];
557     const SkScalar p0 = in[SkMatrix::kMPersp0];
558     const SkScalar p1 = in[SkMatrix::kMPersp1];
559 
560     // Perspective matrix would be:
561     // 1  0  0
562     // 0  1  0
563     // p0 p1 p2
564     // But we need the inverse of persp.
565     perspectiveInverse->setAll(one,          zero,       zero,
566                                zero,         one,        zero,
567                                -p0/p2,     -p1/p2,     1/p2);
568 
569     affine->setAll(sx - p0 * tx / p2,       kx - p1 * tx / p2,      tx / p2,
570                    ky - p0 * ty / p2,       sy - p1 * ty / p2,      ty / p2,
571                    zero,                    zero,                   one);
572 
573     return true;
574 }
575 
make_ps_function(std::unique_ptr<SkStreamAsset> psCode,std::unique_ptr<SkPDFArray> domain,std::unique_ptr<SkPDFObject> range,SkPDFDocument * doc)576 static SkPDFIndirectReference make_ps_function(std::unique_ptr<SkStreamAsset> psCode,
577                                                std::unique_ptr<SkPDFArray> domain,
578                                                std::unique_ptr<SkPDFObject> range,
579                                                SkPDFDocument* doc) {
580     std::unique_ptr<SkPDFDict> dict = SkPDFMakeDict();
581     dict->insertInt("FunctionType", 4);
582     dict->insertObject("Domain", std::move(domain));
583     dict->insertObject("Range", std::move(range));
584     return SkPDFStreamOut(std::move(dict), std::move(psCode), doc);
585 }
586 
make_function_shader(SkPDFDocument * doc,const SkPDFGradientShader::Key & state)587 static SkPDFIndirectReference make_function_shader(SkPDFDocument* doc,
588                                                    const SkPDFGradientShader::Key& state) {
589     SkPoint transformPoints[2];
590     const SkShader::GradientInfo& info = state.fInfo;
591     SkMatrix finalMatrix = state.fCanvasTransform;
592     finalMatrix.preConcat(state.fShaderTransform);
593 
594     bool doStitchFunctions = (state.fType == SkShader::kLinear_GradientType ||
595                               state.fType == SkShader::kRadial_GradientType ||
596                               state.fType == SkShader::kConical_GradientType) &&
597                               (SkTileMode)info.fTileMode == SkTileMode::kClamp &&
598                               !finalMatrix.hasPerspective();
599 
600     int32_t shadingType = 1;
601     auto pdfShader = SkPDFMakeDict();
602     // The two point radial gradient further references
603     // state.fInfo
604     // in translating from x, y coordinates to the t parameter. So, we have
605     // to transform the points and radii according to the calculated matrix.
606     if (doStitchFunctions) {
607         pdfShader->insertObject("Function", gradientStitchCode(info));
608         shadingType = (state.fType == SkShader::kLinear_GradientType) ? 2 : 3;
609 
610         auto extend = SkPDFMakeArray();
611         extend->reserve(2);
612         extend->appendBool(true);
613         extend->appendBool(true);
614         pdfShader->insertObject("Extend", std::move(extend));
615 
616         std::unique_ptr<SkPDFArray> coords;
617         if (state.fType == SkShader::kConical_GradientType) {
618             SkScalar r1 = info.fRadius[0];
619             SkScalar r2 = info.fRadius[1];
620             SkPoint pt1 = info.fPoint[0];
621             SkPoint pt2 = info.fPoint[1];
622             FixUpRadius(pt1, r1, pt2, r2);
623 
624             coords = SkPDFMakeArray(pt1.x(),
625                                     pt1.y(),
626                                     r1,
627                                     pt2.x(),
628                                     pt2.y(),
629                                     r2);
630         } else if (state.fType == SkShader::kRadial_GradientType) {
631             const SkPoint& pt1 = info.fPoint[0];
632             coords = SkPDFMakeArray(pt1.x(),
633                                     pt1.y(),
634                                     0,
635                                     pt1.x(),
636                                     pt1.y(),
637                                     info.fRadius[0]);
638         } else {
639             const SkPoint& pt1 = info.fPoint[0];
640             const SkPoint& pt2 = info.fPoint[1];
641             coords = SkPDFMakeArray(pt1.x(),
642                                     pt1.y(),
643                                     pt2.x(),
644                                     pt2.y());
645         }
646 
647         pdfShader->insertObject("Coords", std::move(coords));
648     } else {
649         // Depending on the type of the gradient, we want to transform the
650         // coordinate space in different ways.
651         transformPoints[0] = info.fPoint[0];
652         transformPoints[1] = info.fPoint[1];
653         switch (state.fType) {
654             case SkShader::kLinear_GradientType:
655                 break;
656             case SkShader::kRadial_GradientType:
657                 transformPoints[1] = transformPoints[0];
658                 transformPoints[1].fX += info.fRadius[0];
659                 break;
660             case SkShader::kConical_GradientType: {
661                 transformPoints[1] = transformPoints[0];
662                 transformPoints[1].fX += SK_Scalar1;
663                 break;
664             }
665             case SkShader::kSweep_GradientType:
666                 transformPoints[1] = transformPoints[0];
667                 transformPoints[1].fX += SK_Scalar1;
668                 break;
669             case SkShader::kColor_GradientType:
670             case SkShader::kNone_GradientType:
671             default:
672                 return SkPDFIndirectReference();
673         }
674 
675         // Move any scaling (assuming a unit gradient) or translation
676         // (and rotation for linear gradient), of the final gradient from
677         // info.fPoints to the matrix (updating bbox appropriately).  Now
678         // the gradient can be drawn on on the unit segment.
679         SkMatrix mapperMatrix;
680         unit_to_points_matrix(transformPoints, &mapperMatrix);
681 
682         finalMatrix.preConcat(mapperMatrix);
683 
684         // Preserves as much as possible in the final matrix, and only removes
685         // the perspective. The inverse of the perspective is stored in
686         // perspectiveInverseOnly matrix and has 3 useful numbers
687         // (p0, p1, p2), while everything else is either 0 or 1.
688         // In this way the shader will handle it eficiently, with minimal code.
689         SkMatrix perspectiveInverseOnly = SkMatrix::I();
690         if (finalMatrix.hasPerspective()) {
691             if (!split_perspective(finalMatrix,
692                                    &finalMatrix, &perspectiveInverseOnly)) {
693                 return SkPDFIndirectReference();
694             }
695         }
696 
697         SkRect bbox;
698         bbox.set(state.fBBox);
699         if (!SkPDFUtils::InverseTransformBBox(finalMatrix, &bbox)) {
700             return SkPDFIndirectReference();
701         }
702         SkDynamicMemoryWStream functionCode;
703 
704         SkShader::GradientInfo infoCopy = info;
705 
706         if (state.fType == SkShader::kConical_GradientType) {
707             SkMatrix inverseMapperMatrix;
708             if (!mapperMatrix.invert(&inverseMapperMatrix)) {
709                 return SkPDFIndirectReference();
710             }
711             inverseMapperMatrix.mapPoints(infoCopy.fPoint, 2);
712             infoCopy.fRadius[0] = inverseMapperMatrix.mapRadius(info.fRadius[0]);
713             infoCopy.fRadius[1] = inverseMapperMatrix.mapRadius(info.fRadius[1]);
714         }
715         switch (state.fType) {
716             case SkShader::kLinear_GradientType:
717                 linearCode(infoCopy, perspectiveInverseOnly, &functionCode);
718                 break;
719             case SkShader::kRadial_GradientType:
720                 radialCode(infoCopy, perspectiveInverseOnly, &functionCode);
721                 break;
722             case SkShader::kConical_GradientType:
723                 twoPointConicalCode(infoCopy, perspectiveInverseOnly, &functionCode);
724                 break;
725             case SkShader::kSweep_GradientType:
726                 sweepCode(infoCopy, perspectiveInverseOnly, &functionCode);
727                 break;
728             default:
729                 SkASSERT(false);
730         }
731         pdfShader->insertObject(
732                 "Domain", SkPDFMakeArray(bbox.left(), bbox.right(), bbox.top(), bbox.bottom()));
733 
734         auto domain = SkPDFMakeArray(bbox.left(), bbox.right(), bbox.top(), bbox.bottom());
735         std::unique_ptr<SkPDFArray> rangeObject = SkPDFMakeArray(0, 1, 0, 1, 0, 1);
736         pdfShader->insertRef("Function",
737                              make_ps_function(functionCode.detachAsStream(), std::move(domain),
738                                               std::move(rangeObject), doc));
739     }
740 
741     pdfShader->insertInt("ShadingType", shadingType);
742     pdfShader->insertName("ColorSpace", "DeviceRGB");
743 
744     SkPDFDict pdfFunctionShader("Pattern");
745     pdfFunctionShader.insertInt("PatternType", 2);
746     pdfFunctionShader.insertObject("Matrix", SkPDFUtils::MatrixToArray(finalMatrix));
747     pdfFunctionShader.insertObject("Shading", std::move(pdfShader));
748     return doc->emit(pdfFunctionShader);
749 }
750 
751 static SkPDFIndirectReference find_pdf_shader(SkPDFDocument* doc,
752                                               SkPDFGradientShader::Key key,
753                                               bool keyHasAlpha);
754 
get_gradient_resource_dict(SkPDFIndirectReference functionShader,SkPDFIndirectReference gState)755 static std::unique_ptr<SkPDFDict> get_gradient_resource_dict(SkPDFIndirectReference functionShader,
756                                                    SkPDFIndirectReference gState) {
757     std::vector<SkPDFIndirectReference> patternShaders;
758     if (functionShader != SkPDFIndirectReference()) {
759         patternShaders.push_back(functionShader);
760     }
761     std::vector<SkPDFIndirectReference> graphicStates;
762     if (gState != SkPDFIndirectReference()) {
763         graphicStates.push_back(gState);
764     }
765     return SkPDFMakeResourceDict(std::move(graphicStates),
766                                  std::move(patternShaders),
767                                  std::vector<SkPDFIndirectReference>(),
768                                  std::vector<SkPDFIndirectReference>());
769 }
770 
771 // Creates a content stream which fills the pattern P0 across bounds.
772 // @param gsIndex A graphics state resource index to apply, or <0 if no
773 // graphics state to apply.
create_pattern_fill_content(int gsIndex,int patternIndex,SkRect & bounds)774 static std::unique_ptr<SkStreamAsset> create_pattern_fill_content(int gsIndex,
775                                                                   int patternIndex,
776                                                                   SkRect& bounds) {
777     SkDynamicMemoryWStream content;
778     if (gsIndex >= 0) {
779         SkPDFUtils::ApplyGraphicState(gsIndex, &content);
780     }
781     SkPDFUtils::ApplyPattern(patternIndex, &content);
782     SkPDFUtils::AppendRectangle(bounds, &content);
783     SkPDFUtils::PaintPath(SkPaint::kFill_Style, SkPath::kEvenOdd_FillType, &content);
784     return content.detachAsStream();
785 }
786 
gradient_has_alpha(const SkPDFGradientShader::Key & key)787 static bool gradient_has_alpha(const SkPDFGradientShader::Key& key) {
788     SkASSERT(key.fType != SkShader::kNone_GradientType);
789     for (int i = 0; i < key.fInfo.fColorCount; i++) {
790         if ((SkAlpha)SkColorGetA(key.fInfo.fColors[i]) != SK_AlphaOPAQUE) {
791             return true;
792         }
793     }
794     return false;
795 }
796 
797 // warning: does not set fHash on new key.  (Both callers need to change fields.)
clone_key(const SkPDFGradientShader::Key & k)798 static SkPDFGradientShader::Key clone_key(const SkPDFGradientShader::Key& k) {
799     SkPDFGradientShader::Key clone = {
800         k.fType,
801         k.fInfo,  // change pointers later.
802         std::unique_ptr<SkColor[]>(new SkColor[k.fInfo.fColorCount]),
803         std::unique_ptr<SkScalar[]>(new SkScalar[k.fInfo.fColorCount]),
804         k.fCanvasTransform,
805         k.fShaderTransform,
806         k.fBBox, 0};
807     clone.fInfo.fColors = clone.fColors.get();
808     clone.fInfo.fColorOffsets = clone.fStops.get();
809     for (int i = 0; i < clone.fInfo.fColorCount; i++) {
810         clone.fInfo.fColorOffsets[i] = k.fInfo.fColorOffsets[i];
811         clone.fInfo.fColors[i] = k.fInfo.fColors[i];
812     }
813     return clone;
814 }
815 
create_smask_graphic_state(SkPDFDocument * doc,const SkPDFGradientShader::Key & state)816 static SkPDFIndirectReference create_smask_graphic_state(SkPDFDocument* doc,
817                                                      const SkPDFGradientShader::Key& state) {
818     SkASSERT(state.fType != SkShader::kNone_GradientType);
819     SkPDFGradientShader::Key luminosityState = clone_key(state);
820     for (int i = 0; i < luminosityState.fInfo.fColorCount; i++) {
821         SkAlpha alpha = SkColorGetA(luminosityState.fInfo.fColors[i]);
822         luminosityState.fInfo.fColors[i] = SkColorSetARGB(255, alpha, alpha, alpha);
823     }
824     luminosityState.fHash = hash(luminosityState);
825 
826     SkASSERT(!gradient_has_alpha(luminosityState));
827     SkPDFIndirectReference luminosityShader = find_pdf_shader(doc, std::move(luminosityState), false);
828     std::unique_ptr<SkPDFDict> resources = get_gradient_resource_dict(luminosityShader,
829                                                             SkPDFIndirectReference());
830     SkRect bbox = SkRect::Make(state.fBBox);
831     SkPDFIndirectReference alphaMask =
832             SkPDFMakeFormXObject(doc,
833                                  create_pattern_fill_content(-1, luminosityShader.fValue, bbox),
834                                  SkPDFUtils::RectToArray(bbox),
835                                  std::move(resources),
836                                  SkMatrix::I(),
837                                  "DeviceRGB");
838     return SkPDFGraphicState::GetSMaskGraphicState(
839             alphaMask, false, SkPDFGraphicState::kLuminosity_SMaskMode, doc);
840 }
841 
make_alpha_function_shader(SkPDFDocument * doc,const SkPDFGradientShader::Key & state)842 static SkPDFIndirectReference make_alpha_function_shader(SkPDFDocument* doc,
843                                                          const SkPDFGradientShader::Key& state) {
844     SkASSERT(state.fType != SkShader::kNone_GradientType);
845     SkPDFGradientShader::Key opaqueState = clone_key(state);
846     for (int i = 0; i < opaqueState.fInfo.fColorCount; i++) {
847         opaqueState.fInfo.fColors[i] = SkColorSetA(opaqueState.fInfo.fColors[i], SK_AlphaOPAQUE);
848     }
849     opaqueState.fHash = hash(opaqueState);
850 
851     SkASSERT(!gradient_has_alpha(opaqueState));
852     SkRect bbox = SkRect::Make(state.fBBox);
853     SkPDFIndirectReference colorShader = find_pdf_shader(doc, std::move(opaqueState), false);
854     if (!colorShader) {
855         return SkPDFIndirectReference();
856     }
857     // Create resource dict with alpha graphics state as G0 and
858     // pattern shader as P0, then write content stream.
859     SkPDFIndirectReference alphaGsRef = create_smask_graphic_state(doc, state);
860 
861     std::unique_ptr<SkPDFDict> resourceDict = get_gradient_resource_dict(colorShader, alphaGsRef);
862 
863     std::unique_ptr<SkStreamAsset> colorStream =
864             create_pattern_fill_content(alphaGsRef.fValue, colorShader.fValue, bbox);
865     std::unique_ptr<SkPDFDict> alphaFunctionShader = SkPDFMakeDict();
866     SkPDFUtils::PopulateTilingPatternDict(alphaFunctionShader.get(), bbox,
867                                  std::move(resourceDict), SkMatrix::I());
868     return SkPDFStreamOut(std::move(alphaFunctionShader), std::move(colorStream), doc);
869 }
870 
make_key(const SkShader * shader,const SkMatrix & canvasTransform,const SkIRect & bbox)871 static SkPDFGradientShader::Key make_key(const SkShader* shader,
872                                          const SkMatrix& canvasTransform,
873                                          const SkIRect& bbox) {
874     SkPDFGradientShader::Key key = {
875          SkShader::kNone_GradientType,
876          {0, nullptr, nullptr, {{0, 0}, {0, 0}}, {0, 0}, SkTileMode::kClamp, 0},
877          nullptr,
878          nullptr,
879          canvasTransform,
880          SkPDFUtils::GetShaderLocalMatrix(shader),
881          bbox, 0};
882     key.fType = shader->asAGradient(&key.fInfo);
883     SkASSERT(SkShader::kNone_GradientType != key.fType);
884     SkASSERT(key.fInfo.fColorCount > 0);
885     key.fColors.reset(new SkColor[key.fInfo.fColorCount]);
886     key.fStops.reset(new SkScalar[key.fInfo.fColorCount]);
887     key.fInfo.fColors = key.fColors.get();
888     key.fInfo.fColorOffsets = key.fStops.get();
889     (void)shader->asAGradient(&key.fInfo);
890     key.fHash = hash(key);
891     return key;
892 }
893 
find_pdf_shader(SkPDFDocument * doc,SkPDFGradientShader::Key key,bool keyHasAlpha)894 static SkPDFIndirectReference find_pdf_shader(SkPDFDocument* doc,
895                                               SkPDFGradientShader::Key key,
896                                               bool keyHasAlpha) {
897     SkASSERT(gradient_has_alpha(key) == keyHasAlpha);
898     auto& gradientPatternMap = doc->fGradientPatternMap;
899     if (SkPDFIndirectReference* ptr = gradientPatternMap.find(key)) {
900         return *ptr;
901     }
902     SkPDFIndirectReference pdfShader;
903     if (keyHasAlpha) {
904         pdfShader = make_alpha_function_shader(doc, key);
905     } else {
906         pdfShader = make_function_shader(doc, key);
907     }
908     gradientPatternMap.set(std::move(key), pdfShader);
909     return pdfShader;
910 }
911 
Make(SkPDFDocument * doc,SkShader * shader,const SkMatrix & canvasTransform,const SkIRect & bbox)912 SkPDFIndirectReference SkPDFGradientShader::Make(SkPDFDocument* doc,
913                                              SkShader* shader,
914                                              const SkMatrix& canvasTransform,
915                                              const SkIRect& bbox) {
916     SkASSERT(shader);
917     SkASSERT(SkShader::kNone_GradientType != shader->asAGradient(nullptr));
918     SkPDFGradientShader::Key key = make_key(shader, canvasTransform, bbox);
919     bool alpha = gradient_has_alpha(key);
920     return find_pdf_shader(doc, std::move(key), alpha);
921 }
922