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/*
* Copyright 2011 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#ifndef GrPathUtils_DEFINED
#define GrPathUtils_DEFINED
#include "include/core/SkPoint.h"
#include "include/core/SkScalar.h"
#include "include/private/base/SkTArray.h"
#include <cstddef>
#include <cstdint>
class SkMatrix;
enum class SkPathFirstDirection;
struct SkRect;
/**
* Utilities for evaluating paths.
*/
namespace GrPathUtils {
// When tessellating curved paths into linear segments, this defines the maximum distance in screen
// space which a segment may deviate from the mathematically correct value. Above this value, the
// segment will be subdivided.
// This value was chosen to approximate the supersampling accuracy of the raster path (16 samples,
// or one quarter pixel).
static const SkScalar kDefaultTolerance = SkDoubleToScalar(0.25);
// We guarantee that no quad or cubic will ever produce more than this many points
static const int kMaxPointsPerCurve = 1 << 10;
// Very small tolerances will be increased to a minimum threshold value, to avoid division problems
// in subsequent math.
SkScalar scaleToleranceToSrc(SkScalar devTol,
const SkMatrix& viewM,
const SkRect& pathBounds);
// Returns the maximum number of vertices required when using a recursive chopping algorithm to
// linearize the quadratic Bezier (e.g. generateQuadraticPoints below) to the given error tolerance.
// This is a power of two and will not exceed kMaxPointsPerCurve.
uint32_t quadraticPointCount(const SkPoint points[], SkScalar tol);
// Returns the number of points actually written to 'points', will be <= to 'pointsLeft'
uint32_t generateQuadraticPoints(const SkPoint& p0,
const SkPoint& p1,
const SkPoint& p2,
SkScalar tolSqd,
SkPoint** points,
uint32_t pointsLeft);
// Returns the maximum number of vertices required when using a recursive chopping algorithm to
// linearize the cubic Bezier (e.g. generateQuadraticPoints below) to the given error tolerance.
// This is a power of two and will not exceed kMaxPointsPerCurve.
uint32_t cubicPointCount(const SkPoint points[], SkScalar tol);
// Returns the number of points actually written to 'points', will be <= to 'pointsLeft'
uint32_t generateCubicPoints(const SkPoint& p0,
const SkPoint& p1,
const SkPoint& p2,
const SkPoint& p3,
SkScalar tolSqd,
SkPoint** points,
uint32_t pointsLeft);
// A 2x3 matrix that goes from the 2d space coordinates to UV space where u^2-v = 0 specifies the
// quad. The matrix is determined by the control points of the quadratic.
class QuadUVMatrix {
public:
QuadUVMatrix() {}
// Initialize the matrix from the control pts
QuadUVMatrix(const SkPoint controlPts[3]) { this->set(controlPts); }
void set(const SkPoint controlPts[3]);
/**
* Applies the matrix to vertex positions to compute UV coords.
*
* vertices is a pointer to the first vertex.
* vertexCount is the number of vertices.
* stride is the size of each vertex.
* uvOffset is the offset of the UV values within each vertex.
*/
void apply(void* vertices, int vertexCount, size_t stride, size_t uvOffset) const {
intptr_t xyPtr = reinterpret_cast<intptr_t>(vertices);
intptr_t uvPtr = reinterpret_cast<intptr_t>(vertices) + uvOffset;
float sx = fM[0];
float kx = fM[1];
float tx = fM[2];
float ky = fM[3];
float sy = fM[4];
float ty = fM[5];
for (int i = 0; i < vertexCount; ++i) {
const SkPoint* xy = reinterpret_cast<const SkPoint*>(xyPtr);
SkPoint* uv = reinterpret_cast<SkPoint*>(uvPtr);
uv->fX = sx * xy->fX + kx * xy->fY + tx;
uv->fY = ky * xy->fX + sy * xy->fY + ty;
xyPtr += stride;
uvPtr += stride;
}
}
private:
float fM[6];
};
// Input is 3 control points and a weight for a bezier conic. Calculates the three linear
// functionals (K,L,M) that represent the implicit equation of the conic, k^2 - lm.
//
// Output: klm holds the linear functionals K,L,M as row vectors:
//
// | ..K.. | | x | | k |
// | ..L.. | * | y | == | l |
// | ..M.. | | 1 | | m |
//
void getConicKLM(const SkPoint p[3], const SkScalar weight, SkMatrix* klm);
// Converts a cubic into a sequence of quads. If working in device space use tolScale = 1, otherwise
// set based on stretchiness of the matrix. The result is sets of 3 points in quads. This will
// preserve the starting and ending tangent vectors (modulo FP precision).
void convertCubicToQuads(const SkPoint p[4],
SkScalar tolScale,
skia_private::TArray<SkPoint, true>* quads);
// When we approximate a cubic {a,b,c,d} with a quadratic we may have to ensure that the new control
// point lies between the lines ab and cd. The convex path renderer requires this. It starts with a
// path where all the control points taken together form a convex polygon. It relies on this
// property and the quadratic approximation of cubics step cannot alter it. This variation enforces
// this constraint. The cubic must be simple and dir must specify the orientation of the contour
// containing the cubic.
void convertCubicToQuadsConstrainToTangents(const SkPoint p[4],
SkScalar tolScale,
SkPathFirstDirection dir,
skia_private::TArray<SkPoint, true>* quads);
} // namespace GrPathUtils
#endif