class SkMatrixPriv { public: enum { // writeTo/readFromMemory will never return a value larger than this
kMaxFlattenSize = 9 * sizeof(SkScalar) + sizeof(uint32_t),
};
/** * Attempt to map the rect through the inverse of the matrix. If it is not invertible, * then this returns false and dst is unchanged.
*/
[[nodiscard]] staticbool InverseMapRect(const SkMatrix& mx, SkRect* dst, const SkRect& src) { if (mx.isScaleTranslate()) { // A scale-translate matrix with a 0 scale factor is not invertible. if (mx.getScaleX() == 0.f || mx.getScaleY() == 0.f) { returnfalse;
}
const SkScalar tx = mx.getTranslateX(); const SkScalar ty = mx.getTranslateY(); // mx maps coordinates as ((sx*x + tx), (sy*y + ty)) so the inverse is // ((x - tx)/sx), (y - ty)/sy). If sx or sy are negative, we have to swap the edge // values to maintain a sorted rect. auto inverted = skvx::float4::Load(&src.fLeft);
inverted -= skvx::float4(tx, ty, tx, ty);
// general case
SkMatrix inverse; if (mx.invert(&inverse)) {
inverse.mapRect(dst, src); returntrue;
} returnfalse;
}
/** Maps count pts, skipping stride bytes to advance from one SkPoint to the next. Points are mapped by multiplying each SkPoint by SkMatrix. Given:
| A B C | | x | Matrix = | D E F |, pt = | y | | G H I | | 1 |
each resulting pts SkPoint is computed as:
|A B C| |x| Ax+By+C Dx+Ey+F Matrix * pt = |D E F| |y| = |Ax+By+C Dx+Ey+F Gx+Hy+I| = ------- , ------- |G H I| |1| Gx+Hy+I Gx+Hy+I
@param mx matrix used to map the points @param pts storage for mapped points @param stride size of record starting with SkPoint, in bytes @param count number of points to transform
*/ staticvoid MapPointsWithStride(const SkMatrix& mx, SkPoint pts[], size_t stride, intcount) {
SkASSERT(stride >= sizeof(SkPoint));
SkASSERT(0 == stride % sizeof(SkScalar));
SkMatrix::TypeMask tm = mx.getType();
if (SkMatrix::kIdentity_Mask == tm) { return;
} if (SkMatrix::kTranslate_Mask == tm) { const SkScalar tx = mx.getTranslateX(); const SkScalar ty = mx.getTranslateY();
skvx::float2 trans(tx, ty); for (int i = 0; i < count; ++i) {
(skvx::float2::Load(&pts->fX) + trans).store(&pts->fX);
pts = (SkPoint*)((intptr_t)pts + stride);
} return;
} // Insert other special-cases here (e.g. scale+translate)
// general case
SkMatrix::MapXYProc proc = mx.getMapXYProc(); for (int i = 0; i < count; ++i) {
proc(mx, pts->fX, pts->fY, pts);
pts = (SkPoint*)((intptr_t)pts + stride);
}
}
/** Maps src SkPoint array of length count to dst SkPoint array, skipping stride bytes to advance from one SkPoint to the next. Points are mapped by multiplying each SkPoint by SkMatrix. Given:
| A B C | | x | Matrix = | D E F |, src = | y | | G H I | | 1 |
each resulting dst SkPoint is computed as:
|A B C| |x| Ax+By+C Dx+Ey+F Matrix * pt = |D E F| |y| = |Ax+By+C Dx+Ey+F Gx+Hy+I| = ------- , ------- |G H I| |1| Gx+Hy+I Gx+Hy+I
@param mx matrix used to map the points @param dst storage for mapped points @param src points to transform @param stride size of record starting with SkPoint, in bytes @param count number of points to transform
*/ staticvoid MapPointsWithStride(const SkMatrix& mx, SkPoint dst[], size_t dstStride, const SkPoint src[], size_t srcStride, int count) {
SkASSERT(srcStride >= sizeof(SkPoint));
SkASSERT(dstStride >= sizeof(SkPoint));
SkASSERT(0 == srcStride % sizeof(SkScalar));
SkASSERT(0 == dstStride % sizeof(SkScalar)); for (int i = 0; i < count; ++i) {
mx.mapPoints(dst, src, 1);
src = (SkPoint*)((intptr_t)src + srcStride);
dst = (SkPoint*)((intptr_t)dst + dstStride);
}
}
staticbool PostIDiv(SkMatrix* matrix, int divx, int divy) { return matrix->postIDiv(divx, divy);
}
staticbool CheapEqual(const SkMatrix& a, const SkMatrix& b) { return &a == &b || 0 == memcmp(a.fMat, b.fMat, sizeof(a.fMat));
}
staticconst SkScalar* M44ColMajor(const SkM44& m) { return m.fMat; }
// This is legacy functionality that only checks the 3x3 portion. The matrix could have Z-based // shear, or other complex behavior. Only use this if you're planning to use the information // to accelerate some purely 2D operation. staticbool IsScaleTranslateAsM33(const SkM44& m) { return m.rc(1,0) == 0 && m.rc(3,0) == 0 &&
m.rc(0,1) == 0 && m.rc(3,1) == 0 &&
m.rc(3,3) == 1;
}
// Map the four corners of 'r' and return the bounding box of those points. The four corners of // 'r' are assumed to have z = 0 and w = 1. If the matrix has perspective, the returned // rectangle will be the bounding box of the projected points after being clipped to w > 0. static SkRect MapRect(const SkM44& m, const SkRect& r);
// Returns the differential area scale factor for a local point 'p' that will be transformed // by 'm' (which may have perspective). If 'm' does not have perspective, this scale factor is // constant regardless of 'p'; when it does have perspective, it is specific to that point. // // This can be crudely thought of as "device pixel area" / "local pixel area" at 'p'. // // Returns positive infinity if the transformed homogeneous point has w <= 0. static SkScalar DifferentialAreaScale(const SkMatrix& m, const SkPoint& p);
// Determines if the transformation m applied to the bounds can be approximated by // an affine transformation, i.e., the perspective part of the transformation has little // visible effect. staticbool NearlyAffine(const SkMatrix& m, const SkRect& bounds,
SkScalar tolerance = SK_ScalarNearlyZero);
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