[graphite] Add conical gradient shader
This is largely a re-implementation of the logic in
src/gpu/ganesh/gradients/GrGradientShader.cpp and
src/shaders/gradients/SkTwoPointConicalGradient.cpp. For simplicity,
most everything is in the shader now, but with an eye towards moving
computations that don't use sk_FragCoord into SkKeyHelpers.cpp.
Bug: skia:13302
Change-Id: I73d2e1f6c6ac0580aa897ffff3cfa87f4ed62b11
Reviewed-on: https://skia-review.googlesource.com/c/skia/+/539569
Commit-Queue: James Godfrey-Kittle <jamesgk@google.com>
Reviewed-by: John Stiles <johnstiles@google.com>
diff --git a/src/core/SkKeyHelpers.cpp b/src/core/SkKeyHelpers.cpp
index 03a60a5..6fd128df 100644
--- a/src/core/SkKeyHelpers.cpp
+++ b/src/core/SkKeyHelpers.cpp
@@ -136,9 +136,6 @@
gatherer->write(gradData.fOffsets, GradientData::kMaxStops);
gatherer->write(gradData.fPoints[0]);
gatherer->write(gradData.fPoints[1]);
- gatherer->write(gradData.fRadii[0]); // unused
- gatherer->write(gradData.fRadii[1]); // unused
- gatherer->write(SkPoint::Make(0.0f, 0.0f)); // padding
gatherer->addFlags(
dict->getSnippetRequirementFlags(SkBuiltInCodeSnippetID::kLinearGradientShader));
diff --git a/src/core/SkShaderCodeDictionary.cpp b/src/core/SkShaderCodeDictionary.cpp
index 0f6c002..ad4d1ce 100644
--- a/src/core/SkShaderCodeDictionary.cpp
+++ b/src/core/SkShaderCodeDictionary.cpp
@@ -337,21 +337,13 @@
//--------------------------------------------------------------------------------------------------
static constexpr int kFourStopGradient = 4;
-// TODO: For the sprint we unify all the gradient uniforms into a standard set of 6:
-// kMaxStops colors
-// kMaxStops offsets
-// 2 points
-// 2 radii
-static constexpr int kNumGradientUniforms = 8;
-static constexpr SkUniform kGradientUniforms[kNumGradientUniforms] = {
+static constexpr int kNumLinearGradientUniforms = 5;
+static constexpr SkUniform kLinearGradientUniforms[kNumLinearGradientUniforms] = {
{ "localMatrix", SkSLType::kFloat4x4 },
{ "colors", SkSLType::kFloat4, kFourStopGradient },
{ "offsets", SkSLType::kFloat, kFourStopGradient },
{ "point0", SkSLType::kFloat2 },
{ "point1", SkSLType::kFloat2 },
- { "radius0", SkSLType::kFloat },
- { "radius1", SkSLType::kFloat },
- { "padding", SkSLType::kFloat2 } // TODO: add automatic uniform padding
};
static constexpr int kNumRadialGradientUniforms = 6;
@@ -374,9 +366,22 @@
{ "scale", SkSLType::kFloat }
};
+static constexpr int kNumConicalGradientUniforms = 8;
+static constexpr SkUniform kConicalGradientUniforms[kNumConicalGradientUniforms] = {
+ { "localMatrix", SkSLType::kFloat4x4 },
+ { "colors", SkSLType::kFloat4, kFourStopGradient },
+ { "offsets", SkSLType::kFloat, kFourStopGradient },
+ { "point0", SkSLType::kFloat2 },
+ { "point1", SkSLType::kFloat2 },
+ { "radius0", SkSLType::kFloat },
+ { "radius1", SkSLType::kFloat },
+ { "padding", SkSLType::kFloat2 } // TODO: add automatic uniform padding
+};
+
static constexpr char kLinearGradient4Name[] = "sk_linear_grad_4_shader";
static constexpr char kRadialGradient4Name[] = "sk_radial_grad_4_shader";
static constexpr char kSweepGradient4Name[] = "sk_sweep_grad_4_shader";
+static constexpr char kConicalGradient4Name[] = "sk_conical_grad_4_shader";
//--------------------------------------------------------------------------------------------------
static constexpr int kNumSolidShaderUniforms = 1;
@@ -614,7 +619,7 @@
};
fBuiltInCodeSnippets[(int) SkBuiltInCodeSnippetID::kLinearGradientShader] = {
"LinearGradient4",
- SkMakeSpan(kGradientUniforms, kNumGradientUniforms),
+ SkMakeSpan(kLinearGradientUniforms, kNumLinearGradientUniforms),
SnippetRequirementFlags::kLocalCoords,
{ }, // no samplers
kLinearGradient4Name,
@@ -644,10 +649,10 @@
};
fBuiltInCodeSnippets[(int) SkBuiltInCodeSnippetID::kConicalGradientShader] = {
"ConicalGradient4",
- SkMakeSpan(kGradientUniforms, kNumGradientUniforms),
+ SkMakeSpan(kConicalGradientUniforms, kNumConicalGradientUniforms),
SnippetRequirementFlags::kLocalCoords,
{ }, // no samplers
- kLinearGradient4Name,
+ kConicalGradient4Name,
GenerateDefaultGlueCode,
kNoChildren,
{ }
diff --git a/src/sksl/generated/sksl_graphite_frag.dehydrated.sksl b/src/sksl/generated/sksl_graphite_frag.dehydrated.sksl
index f051363..88451b6 100644
--- a/src/sksl/generated/sksl_graphite_frag.dehydrated.sksl
+++ b/src/sksl/generated/sksl_graphite_frag.dehydrated.sksl
@@ -1,4 +1,4 @@
-static uint8_t SKSL_INCLUDE_sksl_graphite_frag[] = {10,0,119,4,
+static uint8_t SKSL_INCLUDE_sksl_graphite_frag[] = {10,0,140,5,
8,115,107,95,101,114,114,111,114,
5,104,97,108,102,52,
10,99,111,108,111,114,80,97,114,97,109,
@@ -30,16 +30,21 @@
15,115,107,95,99,108,97,109,112,95,103,114,97,100,95,52,
11,112,111,105,110,116,48,80,97,114,97,109,
11,112,111,105,110,116,49,80,97,114,97,109,
-12,114,97,100,105,117,115,48,80,97,114,97,109,
-12,114,97,100,105,117,115,49,80,97,114,97,109,
-7,112,97,100,100,105,110,103,
23,115,107,95,108,105,110,101,97,114,95,103,114,97,100,95,52,95,115,104,97,100,101,114,
11,99,101,110,116,101,114,80,97,114,97,109,
11,114,97,100,105,117,115,80,97,114,97,109,
+7,112,97,100,100,105,110,103,
23,115,107,95,114,97,100,105,97,108,95,103,114,97,100,95,52,95,115,104,97,100,101,114,
9,98,105,97,115,80,97,114,97,109,
10,115,99,97,108,101,80,97,114,97,109,
22,115,107,95,115,119,101,101,112,95,103,114,97,100,95,52,95,115,104,97,100,101,114,
+2,112,48,
+2,112,49,
+14,36,109,97,112,95,116,111,95,117,110,105,116,95,120,
+8,102,108,111,97,116,51,120,51,
+12,114,97,100,105,117,115,48,80,97,114,97,109,
+12,114,97,100,105,117,115,49,80,97,114,97,109,
+24,115,107,95,99,111,110,105,99,97,108,95,103,114,97,100,95,52,95,115,104,97,100,101,114,
9,98,108,101,110,100,77,111,100,101,
3,115,114,99,
3,100,115,116,
@@ -73,6 +78,36 @@
3,100,111,116,
5,97,110,103,108,101,
4,97,116,97,110,
+7,105,110,118,101,114,115,101,
+19,83,75,95,83,99,97,108,97,114,78,101,97,114,108,121,90,101,114,111,
+7,100,67,101,110,116,101,114,
+7,100,82,97,100,105,117,115,
+6,114,97,100,105,97,108,
+4,98,111,111,108,
+5,115,116,114,105,112,
+8,100,105,115,116,97,110,99,101,
+3,97,98,115,
+5,115,99,97,108,101,
+9,115,99,97,108,101,83,105,103,110,
+4,98,105,97,115,
+4,115,105,103,110,
+9,116,114,97,110,115,102,111,114,109,
+1,114,
+3,114,95,50,
+6,102,108,111,97,116,51,
+4,115,113,114,116,
+9,105,115,83,119,97,112,112,101,100,
+2,67,102,
+6,115,99,97,108,101,88,
+6,115,99,97,108,101,89,
+2,114,49,
+15,105,115,70,111,99,97,108,79,110,67,105,114,99,108,101,
+5,105,110,118,82,49,
+11,100,82,97,100,105,117,115,83,105,103,110,
+13,105,115,87,101,108,108,66,101,104,97,118,101,100,
+3,120,95,116,
+5,116,109,112,80,116,
+4,116,101,109,112,
6,107,67,108,101,97,114,
4,107,83,114,99,
4,107,68,115,116,
@@ -118,7 +153,7 @@
14,98,108,101,110,100,95,109,117,108,116,105,112,108,121,
10,98,108,101,110,100,95,104,115,108,99,
5,104,97,108,102,50,
-52,1,65,0,
+52,1,76,0,
28,1,0,
17,2,0,0,
51,255,255,11,0,
@@ -211,112 +246,145 @@
55,32,0,
17,15,1,
51,255,255,209,0,3,
-55,33,0,
-17,27,1,
-51,255,255,116,0,3,
-55,34,0,
-17,40,1,
-51,255,255,116,0,3,
-55,35,0,
-17,53,1,
-51,255,255,209,0,3,
-28,36,0,
-17,61,1,8,28,0,29,0,30,0,31,0,32,0,33,0,34,0,35,0,
+28,33,0,
+17,27,1,5,28,0,29,0,30,0,31,0,32,0,
51,255,255,11,0,
-0,37,0,
+0,34,0,
51,255,255,28,0,4,
-0,38,0,
+0,35,0,
51,255,255,116,0,4,
+55,36,0,
+17,147,0,
+51,255,255,63,0,3,
+55,37,0,
+17,216,0,
+51,34,0,3,
+55,38,0,
+17,228,0,
+51,35,0,3,
55,39,0,
-17,147,0,
-51,255,255,63,0,3,
+17,51,1,
+51,255,255,209,0,3,
55,40,0,
-17,216,0,
-51,37,0,3,
+17,63,1,
+51,255,255,116,0,3,
55,41,0,
-17,228,0,
-51,38,0,3,
-55,42,0,
-17,85,1,
-51,255,255,209,0,3,
-55,43,0,
-17,97,1,
+17,75,1,
51,255,255,116,0,3,
-55,44,0,
-17,53,1,
-51,255,255,116,0,3,
-28,45,0,
-17,109,1,6,39,0,40,0,41,0,42,0,43,0,44,0,
+28,42,0,
+17,83,1,6,36,0,37,0,38,0,39,0,40,0,41,0,
51,255,255,11,0,
-0,46,0,
+0,43,0,
51,255,255,28,0,4,
-0,47,0,
+0,44,0,
51,255,255,116,0,4,
-55,48,0,
+55,45,0,
17,147,0,
51,255,255,63,0,3,
-55,49,0,
+55,46,0,
17,216,0,
-51,46,0,3,
-55,50,0,
+51,43,0,3,
+55,47,0,
17,228,0,
-51,47,0,3,
-55,51,0,
-17,85,1,
+51,44,0,3,
+55,48,0,
+17,51,1,
51,255,255,209,0,3,
+55,49,0,
+17,107,1,
+51,255,255,116,0,3,
+55,50,0,
+17,117,1,
+51,255,255,116,0,3,
+28,51,0,
+17,128,1,6,45,0,46,0,47,0,48,0,49,0,50,0,
+51,255,255,11,0,
55,52,0,
-17,133,1,
-51,255,255,116,0,3,
+17,151,1,
+51,255,255,209,0,3,
55,53,0,
-17,143,1,
-51,255,255,116,0,3,
+17,154,1,
+51,255,255,209,0,3,
28,54,0,
-17,154,1,6,48,0,49,0,50,0,51,0,52,0,53,0,
-51,255,255,11,0,
-55,55,0,
-17,177,1,
-51,255,255,110,0,3,
-55,56,0,
-17,187,1,
-51,255,255,11,0,3,
+17,157,1,2,52,0,53,0,
+51,255,255,172,1,
+0,55,0,
+51,255,255,28,0,4,
+0,56,0,
+51,255,255,116,0,4,
55,57,0,
-17,191,1,
-51,255,255,11,0,3,
-28,58,0,
-17,195,1,3,55,0,56,0,57,0,
-51,255,255,11,0,
+17,147,0,
+51,255,255,63,0,3,
+55,58,0,
+17,216,0,
+51,55,0,3,
55,59,0,
-17,177,1,
-51,255,255,110,0,3,
+17,228,0,
+51,56,0,3,
55,60,0,
-17,204,1,
-51,255,255,110,0,3,
+17,3,1,
+51,255,255,209,0,3,
55,61,0,
-17,209,1,
-51,255,255,110,0,3,
+17,15,1,
+51,255,255,209,0,3,
55,62,0,
-17,214,1,
-51,255,255,110,0,3,
+17,181,1,
+51,255,255,116,0,3,
55,63,0,
-17,219,1,
-51,255,255,11,0,3,
+17,194,1,
+51,255,255,116,0,3,
55,64,0,
-17,226,1,
-51,255,255,11,0,3,
+17,75,1,
+51,255,255,209,0,3,
28,65,0,
-17,233,1,6,59,0,60,0,61,0,62,0,63,0,64,0,
-51,255,255,11,0,11,0,
+17,207,1,8,57,0,58,0,59,0,60,0,61,0,62,0,63,0,64,0,
+51,255,255,11,0,
+55,66,0,
+17,232,1,
+51,255,255,110,0,3,
+55,67,0,
+17,242,1,
+51,255,255,11,0,3,
+55,68,0,
+17,246,1,
+51,255,255,11,0,3,
+28,69,0,
+17,250,1,3,66,0,67,0,68,0,
+51,255,255,11,0,
+55,70,0,
+17,232,1,
+51,255,255,110,0,3,
+55,71,0,
+17,3,2,
+51,255,255,110,0,3,
+55,72,0,
+17,8,2,
+51,255,255,110,0,3,
+55,73,0,
+17,13,2,
+51,255,255,110,0,3,
+55,74,0,
+17,18,2,
+51,255,255,11,0,3,
+55,75,0,
+17,25,2,
+51,255,255,11,0,3,
+28,76,0,
+17,32,2,6,70,0,71,0,72,0,73,0,74,0,75,0,
+51,255,255,11,0,13,0,
+53,0,
11,0,
-57,0,
-64,0,
+68,0,
+75,0,
24,0,
18,0,
+64,0,
0,0,
-35,0,
+32,0,
5,0,
-44,0,
+41,0,
2,0,
-53,0,
+50,0,
20,
29,1,0,
2,
@@ -325,13 +393,13 @@
8,
51,255,255,11,0,4,
25,
-51,255,255,249,1,0,0,128,63,
+51,255,255,48,2,0,0,128,63,
25,
-51,255,255,249,1,0,0,0,0,
+51,255,255,48,2,0,0,0,0,
25,
-51,255,255,249,1,0,0,128,63,
+51,255,255,48,2,0,0,128,63,
25,
-51,255,255,249,1,0,0,128,63,1,
+51,255,255,48,2,0,0,128,63,1,
29,3,0,
2,
52,1,0,0,0,0,1,
@@ -347,52 +415,52 @@
29,12,0,
2,
52,1,4,0,
-55,66,0,
+55,77,0,
38,
-16,4,254,1,
+16,4,53,2,
51,255,255,110,0,2,
-55,67,0,
+55,78,0,
38,
-16,4,5,2,
+16,4,60,2,
51,255,255,110,0,2,
-55,68,0,
+55,79,0,
38,
-16,4,13,2,
+16,4,68,2,
51,255,255,110,0,2,
-55,69,0,
+55,80,0,
38,
-16,4,27,2,
+16,4,82,2,
51,255,255,110,0,2,4,0,
0,0,
3,0,
2,0,
1,0,5,
-56,66,0,
+56,77,0,
51,255,255,110,0,0,
36,
51,255,255,110,0,0,0,0,0,
-56,67,0,
+56,78,0,
51,255,255,110,0,0,
36,
51,255,255,110,0,1,0,0,0,
-56,68,0,
+56,79,0,
51,255,255,110,0,0,
36,
51,255,255,110,0,2,0,0,0,
-56,69,0,
+56,80,0,
51,255,255,110,0,0,
36,
51,255,255,110,0,3,0,0,0,
32,0,
1,
57,7,0,0,16,
-57,66,0,0,
+57,77,0,0,
2,
52,1,0,0,0,0,1,
44,
1,
27,
-51,255,255,116,0,255,255,42,2,3,
+51,255,255,116,0,255,255,97,2,3,
57,8,0,0,
57,9,0,0,
57,10,0,0,3,
@@ -400,14 +468,14 @@
32,0,
1,
57,7,0,0,16,
-57,67,0,0,
+57,78,0,0,
2,
52,1,1,0,
-55,70,0,
-17,48,2,
+55,81,0,
+17,103,2,
51,255,255,116,0,2,1,0,
0,0,2,
-56,70,0,
+56,81,0,
51,255,255,116,0,0,
1,
57,10,0,0,1,
@@ -416,63 +484,63 @@
1,
1,
27,
-51,255,255,116,0,255,255,55,2,2,
+51,255,255,116,0,255,255,110,2,2,
1,
57,8,0,0,1,
57,9,0,0,
-57,70,0,0,0,
+57,81,0,0,0,
57,9,0,0,3,
57,11,0,0,1,
32,0,
1,
57,7,0,0,16,
-57,68,0,0,
+57,79,0,0,
2,
52,1,3,0,
-55,71,0,
-17,48,2,
+55,82,0,
+17,103,2,
51,255,255,116,0,2,
-55,72,0,
-17,59,2,
+55,83,0,
+17,114,2,
51,255,255,116,0,2,
-55,73,0,
-17,67,2,
+55,84,0,
+17,122,2,
51,255,255,116,0,2,3,0,
0,0,
1,0,
2,0,4,
-56,71,0,
+56,82,0,
51,255,255,116,0,0,
1,
57,10,0,0,1,
57,9,0,0,
-56,72,0,
+56,83,0,
51,255,255,116,0,0,
1,
25,
51,255,255,116,0,0,0,0,64,2,
-57,71,0,0,
-56,73,0,
+57,82,0,0,
+56,84,0,
51,255,255,116,0,0,
27,
-51,255,255,116,0,255,255,55,2,2,
+51,255,255,116,0,255,255,110,2,2,
1,
57,8,0,0,1,
57,9,0,0,
-57,72,0,0,
+57,83,0,0,
44,
1,
1,
27,
-51,255,255,116,0,255,255,71,2,3,
-57,73,0,0,
+51,255,255,116,0,255,255,126,2,3,
+57,84,0,0,
1,
-57,72,0,0,1,
-57,73,0,0,
+57,83,0,0,1,
+57,84,0,0,
27,
-51,255,255,116,0,255,255,75,2,2,
-57,71,0,0,
-57,73,0,0,0,
+51,255,255,116,0,255,255,130,2,2,
+57,82,0,0,
+57,84,0,0,0,
57,9,0,0,3,
57,11,0,0,1,
2,
@@ -480,7 +548,7 @@
44,
1,
27,
-51,255,255,116,0,255,255,42,2,3,
+51,255,255,116,0,255,255,97,2,3,
57,8,0,0,
57,9,0,0,
57,10,0,0,3,
@@ -488,20 +556,20 @@
29,19,0,
2,
52,1,2,0,
-55,74,0,
-17,80,2,
+55,85,0,
+17,135,2,
51,255,255,28,0,2,
-55,75,0,
-17,92,2,
+55,86,0,
+17,147,2,
51,255,255,209,0,2,2,0,
1,0,
0,0,3,
-56,74,0,
+56,85,0,
51,255,255,28,0,0,
1,
57,13,0,0,2,
-57,255,255,99,2,0,
-56,75,0,
+57,255,255,154,2,0,
+56,86,0,
51,255,255,209,0,0,
8,
51,255,255,209,0,2,
@@ -509,7 +577,7 @@
51,255,255,116,0,12,0,5,
57,15,0,0,
50,
-57,74,0,0,1,0,
+57,85,0,0,1,0,
50,
57,14,0,0,1,0,
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@@ -521,7 +589,7 @@
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21,};
static constexpr size_t SKSL_INCLUDE_sksl_graphite_frag_LENGTH = sizeof(SKSL_INCLUDE_sksl_graphite_frag);
diff --git a/src/sksl/sksl_graphite_frag.sksl b/src/sksl/sksl_graphite_frag.sksl
index e5c1622..4442d14 100644
--- a/src/sksl/sksl_graphite_frag.sksl
+++ b/src/sksl/sksl_graphite_frag.sksl
@@ -66,10 +66,7 @@
float4 colorsParam[4],
float offsetsParam[4],
float2 point0Param,
- float2 point1Param,
- float radius0Param,
- float radius1Param,
- float2 padding) {
+ float2 point1Param) {
float2 pos = (dev2Local * sk_FragCoord).xy;
float2 delta = point1Param - point0Param;
float2 pt = pos - point0Param;
@@ -111,6 +108,138 @@
return sk_clamp_grad_4(colorsParam, offsetsParam, t);
}
+float3x3 $map_to_unit_x(float2 p0, float2 p1) {
+ // Returns a matrix that maps [p0, p1] to [(0, 0), (1, 0)]. Results are undefined if p0 = p1.
+ // From skia/src/core/SkMatrix.cpp, SkMatrix::setPolyToPoly.
+ return float3x3(
+ 0, -1, 0,
+ 1, 0, 0,
+ 0, 0, 1
+ ) * inverse(float3x3(
+ p1.y - p0.y, p0.x - p1.x, 0,
+ p1.x - p0.x, p1.y - p0.y, 0,
+ p0.x, p0.y, 1
+ ));
+}
+
+half4 sk_conical_grad_4_shader(float4x4 dev2Local,
+ float4 colorsParam[4],
+ float offsetsParam[4],
+ float2 point0Param,
+ float2 point1Param,
+ float radius0Param,
+ float radius1Param,
+ float2 padding) {
+ float2 pos = (dev2Local * sk_FragCoord).xy;
+ float t;
+
+ const float SK_ScalarNearlyZero = 1.0 / (1 << 12);
+ float dCenter = distance(point0Param, point1Param);
+ float dRadius = radius1Param - radius0Param;
+
+ // Degenerate case: a radial gradient (p0 = p1).
+ bool radial = dCenter < SK_ScalarNearlyZero;
+
+ // Degenerate case: a strip with bandwidth 2r (r0 = r1).
+ bool strip = abs(dRadius) < SK_ScalarNearlyZero;
+
+ if (radial) {
+ if (strip) {
+ // The start and end inputs are the same in both position and radius.
+ // We don't expect to see this input, but just in case we avoid dividing by zero.
+ return half4(0);
+ }
+
+ float scale = 1 / dRadius;
+ float scaleSign = sign(dRadius);
+ float bias = radius0Param / dRadius;
+
+ float2 pt = (pos - point0Param) * scale;
+ t = length(pt) * scaleSign - bias;
+
+ } else if (strip) {
+ float3x3 transform = $map_to_unit_x(point0Param, point1Param);
+ float r = radius0Param / dCenter;
+ float r_2 = r * r;
+
+ float2 pt = (transform * pos.xy1).xy;
+ t = r_2 - pt.y * pt.y;
+ if (t < 0) {
+ return half4(0);
+ }
+ t = pt.x + sqrt(t);
+
+ } else {
+ // See https://skia.org/docs/dev/design/conical/ for details on how this algorithm works.
+ // Calculate f and swap inputs if necessary (steps 1 and 2).
+ float f = radius0Param / (radius0Param - radius1Param);
+
+ bool isSwapped = abs(f - 1) < SK_ScalarNearlyZero;
+ if (isSwapped) {
+ float2 tmpPt = point0Param;
+ point0Param = point1Param;
+ point1Param = tmpPt;
+ f = 0;
+ }
+
+ // Apply mapping from [Cf, C1] to unit x, and apply the precalculations from steps 3 and 4,
+ // all in the same transformation.
+ float2 Cf = point0Param * (1 - f) + point1Param * f;
+ float3x3 transform = $map_to_unit_x(Cf, point1Param);
+
+ float scaleX = abs(1 - f);
+ float scaleY = scaleX;
+ float r1 = abs(radius1Param - radius0Param) / dCenter;
+ bool isFocalOnCircle = abs(r1 - 1) < SK_ScalarNearlyZero;
+ if (isFocalOnCircle) {
+ scaleX *= 0.5;
+ scaleY *= 0.5;
+ } else {
+ scaleX *= r1 / (r1 * r1 - 1);
+ scaleY /= sqrt(abs(r1 * r1 - 1));
+ }
+ transform = float3x3(
+ scaleX, 0, 0,
+ 0, scaleY, 0,
+ 0, 0, 1
+ ) * transform;
+
+ float2 pt = (transform * pos.xy1).xy;
+
+ // Continue with step 5 onward.
+ float invR1 = 1 / r1;
+ float dRadiusSign = sign(1 - f);
+ bool isWellBehaved = !isFocalOnCircle && r1 > 1;
+
+ float x_t = -1;
+ if (isFocalOnCircle) {
+ x_t = dot(pt, pt) / pt.x;
+ } else if (isWellBehaved) {
+ x_t = length(pt) - pt.x * invR1;
+ } else {
+ float temp = pt.x * pt.x - pt.y * pt.y;
+ if (temp >= 0) {
+ if (isSwapped || dRadiusSign < 0) {
+ x_t = -sqrt(temp) - pt.x * invR1;
+ } else {
+ x_t = sqrt(temp) - pt.x * invR1;
+ }
+ }
+ }
+
+ if (!isWellBehaved && x_t < 0) {
+ return half4(0);
+ }
+
+ t = f + dRadiusSign * x_t;
+ if (isSwapped) {
+ t = 1 - t;
+ }
+ }
+
+ return sk_clamp_grad_4(colorsParam, offsetsParam, t);
+}
+
half4 sk_blend(int blendMode, half4 src, half4 dst) {
const int kClear = 0;
const int kSrc = 1;
