/*
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* Copyright 2014 Google Inc.
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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#include "SkAutoMalloc.h"
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#include "SkColorData.h"
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#include "SkDistanceFieldGen.h"
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#include "SkMask.h"
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#include "SkPointPriv.h"
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#include "SkTemplates.h"
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#include <utility>
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struct DFData {
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float fAlpha; // alpha value of source texel
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float fDistSq; // distance squared to nearest (so far) edge texel
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SkPoint fDistVector; // distance vector to nearest (so far) edge texel
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};
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enum NeighborFlags {
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kLeft_NeighborFlag = 0x01,
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kRight_NeighborFlag = 0x02,
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kTopLeft_NeighborFlag = 0x04,
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kTop_NeighborFlag = 0x08,
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kTopRight_NeighborFlag = 0x10,
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kBottomLeft_NeighborFlag = 0x20,
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kBottom_NeighborFlag = 0x40,
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kBottomRight_NeighborFlag = 0x80,
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kAll_NeighborFlags = 0xff,
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kNeighborFlagCount = 8
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};
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// We treat an "edge" as a place where we cross from >=128 to <128, or vice versa, or
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// where we have two non-zero pixels that are <128.
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// 'neighborFlags' is used to limit the directions in which we test to avoid indexing
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// outside of the image
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static bool found_edge(const unsigned char* imagePtr, int width, int neighborFlags) {
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// the order of these should match the neighbor flags above
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const int kNum8ConnectedNeighbors = 8;
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const int offsets[8] = {-1, 1, -width-1, -width, -width+1, width-1, width, width+1 };
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SkASSERT(kNum8ConnectedNeighbors == kNeighborFlagCount);
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// search for an edge
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unsigned char currVal = *imagePtr;
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unsigned char currCheck = (currVal >> 7);
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for (int i = 0; i < kNum8ConnectedNeighbors; ++i) {
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unsigned char neighborVal;
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if ((1 << i) & neighborFlags) {
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const unsigned char* checkPtr = imagePtr + offsets[i];
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neighborVal = *checkPtr;
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} else {
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neighborVal = 0;
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}
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unsigned char neighborCheck = (neighborVal >> 7);
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SkASSERT(currCheck == 0 || currCheck == 1);
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SkASSERT(neighborCheck == 0 || neighborCheck == 1);
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// if sharp transition
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if (currCheck != neighborCheck ||
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// or both <128 and >0
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(!currCheck && !neighborCheck && currVal && neighborVal)) {
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return true;
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}
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}
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return false;
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}
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static void init_glyph_data(DFData* data, unsigned char* edges, const unsigned char* image,
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int dataWidth, int dataHeight,
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int imageWidth, int imageHeight,
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int pad) {
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data += pad*dataWidth;
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data += pad;
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edges += (pad*dataWidth + pad);
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for (int j = 0; j < imageHeight; ++j) {
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for (int i = 0; i < imageWidth; ++i) {
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if (255 == *image) {
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data->fAlpha = 1.0f;
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} else {
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data->fAlpha = (*image)*0.00392156862f; // 1/255
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}
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int checkMask = kAll_NeighborFlags;
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if (i == 0) {
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checkMask &= ~(kLeft_NeighborFlag|kTopLeft_NeighborFlag|kBottomLeft_NeighborFlag);
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}
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if (i == imageWidth-1) {
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checkMask &= ~(kRight_NeighborFlag|kTopRight_NeighborFlag|kBottomRight_NeighborFlag);
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}
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if (j == 0) {
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checkMask &= ~(kTopLeft_NeighborFlag|kTop_NeighborFlag|kTopRight_NeighborFlag);
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}
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if (j == imageHeight-1) {
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checkMask &= ~(kBottomLeft_NeighborFlag|kBottom_NeighborFlag|kBottomRight_NeighborFlag);
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}
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if (found_edge(image, imageWidth, checkMask)) {
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*edges = 255; // using 255 makes for convenient debug rendering
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}
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++data;
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++image;
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++edges;
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}
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data += 2*pad;
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edges += 2*pad;
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}
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}
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// from Gustavson (2011)
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// computes the distance to an edge given an edge normal vector and a pixel's alpha value
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// assumes that direction has been pre-normalized
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static float edge_distance(const SkPoint& direction, float alpha) {
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float dx = direction.fX;
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float dy = direction.fY;
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float distance;
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if (SkScalarNearlyZero(dx) || SkScalarNearlyZero(dy)) {
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distance = 0.5f - alpha;
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} else {
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// this is easier if we treat the direction as being in the first octant
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// (other octants are symmetrical)
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dx = SkScalarAbs(dx);
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dy = SkScalarAbs(dy);
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if (dx < dy) {
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using std::swap;
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swap(dx, dy);
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}
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// a1 = 0.5*dy/dx is the smaller fractional area chopped off by the edge
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// to avoid the divide, we just consider the numerator
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float a1num = 0.5f*dy;
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// we now compute the approximate distance, depending where the alpha falls
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// relative to the edge fractional area
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// if 0 <= alpha < a1
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if (alpha*dx < a1num) {
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// TODO: find a way to do this without square roots?
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distance = 0.5f*(dx + dy) - SkScalarSqrt(2.0f*dx*dy*alpha);
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// if a1 <= alpha <= 1 - a1
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} else if (alpha*dx < (dx - a1num)) {
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distance = (0.5f - alpha)*dx;
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// if 1 - a1 < alpha <= 1
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} else {
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// TODO: find a way to do this without square roots?
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distance = -0.5f*(dx + dy) + SkScalarSqrt(2.0f*dx*dy*(1.0f - alpha));
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}
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}
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return distance;
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}
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static void init_distances(DFData* data, unsigned char* edges, int width, int height) {
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// skip one pixel border
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DFData* currData = data;
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DFData* prevData = data - width;
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DFData* nextData = data + width;
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for (int j = 0; j < height; ++j) {
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for (int i = 0; i < width; ++i) {
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if (*edges) {
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// we should not be in the one-pixel outside band
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SkASSERT(i > 0 && i < width-1 && j > 0 && j < height-1);
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// gradient will point from low to high
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// +y is down in this case
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// i.e., if you're outside, gradient points towards edge
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// if you're inside, gradient points away from edge
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SkPoint currGrad;
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currGrad.fX = (prevData+1)->fAlpha - (prevData-1)->fAlpha
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+ SK_ScalarSqrt2*(currData+1)->fAlpha
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- SK_ScalarSqrt2*(currData-1)->fAlpha
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+ (nextData+1)->fAlpha - (nextData-1)->fAlpha;
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currGrad.fY = (nextData-1)->fAlpha - (prevData-1)->fAlpha
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+ SK_ScalarSqrt2*nextData->fAlpha
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- SK_ScalarSqrt2*prevData->fAlpha
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+ (nextData+1)->fAlpha - (prevData+1)->fAlpha;
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SkPointPriv::SetLengthFast(&currGrad, 1.0f);
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// init squared distance to edge and distance vector
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float dist = edge_distance(currGrad, currData->fAlpha);
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currGrad.scale(dist, &currData->fDistVector);
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currData->fDistSq = dist*dist;
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} else {
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// init distance to "far away"
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currData->fDistSq = 2000000.f;
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currData->fDistVector.fX = 1000.f;
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currData->fDistVector.fY = 1000.f;
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}
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++currData;
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++prevData;
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++nextData;
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++edges;
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}
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}
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}
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// Danielsson's 8SSEDT
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// first stage forward pass
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// (forward in Y, forward in X)
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static void F1(DFData* curr, int width) {
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// upper left
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DFData* check = curr - width-1;
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SkPoint distVec = check->fDistVector;
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float distSq = check->fDistSq - 2.0f*(distVec.fX + distVec.fY - 1.0f);
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if (distSq < curr->fDistSq) {
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distVec.fX -= 1.0f;
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distVec.fY -= 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// up
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check = curr - width;
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distVec = check->fDistVector;
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distSq = check->fDistSq - 2.0f*distVec.fY + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fY -= 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// upper right
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check = curr - width+1;
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distVec = check->fDistVector;
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distSq = check->fDistSq + 2.0f*(distVec.fX - distVec.fY + 1.0f);
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if (distSq < curr->fDistSq) {
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distVec.fX += 1.0f;
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distVec.fY -= 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// left
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check = curr - 1;
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distVec = check->fDistVector;
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distSq = check->fDistSq - 2.0f*distVec.fX + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fX -= 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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}
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// second stage forward pass
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// (forward in Y, backward in X)
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static void F2(DFData* curr, int width) {
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// right
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DFData* check = curr + 1;
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SkPoint distVec = check->fDistVector;
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float distSq = check->fDistSq + 2.0f*distVec.fX + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fX += 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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}
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// first stage backward pass
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// (backward in Y, forward in X)
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static void B1(DFData* curr, int width) {
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// left
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DFData* check = curr - 1;
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SkPoint distVec = check->fDistVector;
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float distSq = check->fDistSq - 2.0f*distVec.fX + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fX -= 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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}
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// second stage backward pass
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// (backward in Y, backwards in X)
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static void B2(DFData* curr, int width) {
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// right
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DFData* check = curr + 1;
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SkPoint distVec = check->fDistVector;
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float distSq = check->fDistSq + 2.0f*distVec.fX + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fX += 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// bottom left
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check = curr + width-1;
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distVec = check->fDistVector;
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distSq = check->fDistSq - 2.0f*(distVec.fX - distVec.fY - 1.0f);
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if (distSq < curr->fDistSq) {
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distVec.fX -= 1.0f;
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distVec.fY += 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// bottom
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check = curr + width;
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distVec = check->fDistVector;
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distSq = check->fDistSq + 2.0f*distVec.fY + 1.0f;
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if (distSq < curr->fDistSq) {
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distVec.fY += 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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// bottom right
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check = curr + width+1;
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distVec = check->fDistVector;
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distSq = check->fDistSq + 2.0f*(distVec.fX + distVec.fY + 1.0f);
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if (distSq < curr->fDistSq) {
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distVec.fX += 1.0f;
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distVec.fY += 1.0f;
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curr->fDistSq = distSq;
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curr->fDistVector = distVec;
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}
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}
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// enable this to output edge data rather than the distance field
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#define DUMP_EDGE 0
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#if !DUMP_EDGE
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template <int distanceMagnitude>
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static unsigned char pack_distance_field_val(float dist) {
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// The distance field is constructed as unsigned char values, so that the zero value is at 128,
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// Beside 128, we have 128 values in range [0, 128), but only 127 values in range (128, 255].
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// So we multiply distanceMagnitude by 127/128 at the latter range to avoid overflow.
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dist = SkScalarPin(-dist, -distanceMagnitude, distanceMagnitude * 127.0f / 128.0f);
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// Scale into the positive range for unsigned distance.
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dist += distanceMagnitude;
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// Scale into unsigned char range.
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// Round to place negative and positive values as equally as possible around 128
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// (which represents zero).
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return (unsigned char)SkScalarRoundToInt(dist / (2 * distanceMagnitude) * 256.0f);
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}
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#endif
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// assumes a padded 8-bit image and distance field
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// width and height are the original width and height of the image
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static bool generate_distance_field_from_image(unsigned char* distanceField,
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const unsigned char* copyPtr,
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int width, int height) {
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SkASSERT(distanceField);
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SkASSERT(copyPtr);
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// we expand our temp data by one more on each side to simplify
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// the scanning code -- will always be treated as infinitely far away
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int pad = SK_DistanceFieldPad + 1;
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// set params for distance field data
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int dataWidth = width + 2*pad;
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int dataHeight = height + 2*pad;
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// create zeroed temp DFData+edge storage
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SkAutoFree storage(sk_calloc_throw(dataWidth*dataHeight*(sizeof(DFData) + 1)));
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DFData* dataPtr = (DFData*)storage.get();
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unsigned char* edgePtr = (unsigned char*)storage.get() + dataWidth*dataHeight*sizeof(DFData);
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// copy glyph into distance field storage
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init_glyph_data(dataPtr, edgePtr, copyPtr,
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dataWidth, dataHeight,
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width+2, height+2, SK_DistanceFieldPad);
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// create initial distance data, particularly at edges
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init_distances(dataPtr, edgePtr, dataWidth, dataHeight);
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// now perform Euclidean distance transform to propagate distances
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// forwards in y
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DFData* currData = dataPtr+dataWidth+1; // skip outer buffer
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unsigned char* currEdge = edgePtr+dataWidth+1;
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for (int j = 1; j < dataHeight-1; ++j) {
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// forwards in x
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for (int i = 1; i < dataWidth-1; ++i) {
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// don't need to calculate distance for edge pixels
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if (!*currEdge) {
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F1(currData, dataWidth);
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}
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++currData;
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++currEdge;
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}
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// backwards in x
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--currData; // reset to end
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--currEdge;
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for (int i = 1; i < dataWidth-1; ++i) {
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// don't need to calculate distance for edge pixels
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if (!*currEdge) {
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F2(currData, dataWidth);
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}
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--currData;
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--currEdge;
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}
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currData += dataWidth+1;
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currEdge += dataWidth+1;
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}
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// backwards in y
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currData = dataPtr+dataWidth*(dataHeight-2) - 1; // skip outer buffer
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currEdge = edgePtr+dataWidth*(dataHeight-2) - 1;
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for (int j = 1; j < dataHeight-1; ++j) {
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// forwards in x
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for (int i = 1; i < dataWidth-1; ++i) {
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// don't need to calculate distance for edge pixels
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if (!*currEdge) {
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B1(currData, dataWidth);
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}
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++currData;
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++currEdge;
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}
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// backwards in x
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--currData; // reset to end
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--currEdge;
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for (int i = 1; i < dataWidth-1; ++i) {
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// don't need to calculate distance for edge pixels
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if (!*currEdge) {
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B2(currData, dataWidth);
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}
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--currData;
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--currEdge;
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}
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currData -= dataWidth-1;
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currEdge -= dataWidth-1;
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}
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// copy results to final distance field data
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currData = dataPtr + dataWidth+1;
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currEdge = edgePtr + dataWidth+1;
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unsigned char *dfPtr = distanceField;
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for (int j = 1; j < dataHeight-1; ++j) {
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for (int i = 1; i < dataWidth-1; ++i) {
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#if DUMP_EDGE
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float alpha = currData->fAlpha;
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float edge = 0.0f;
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if (*currEdge) {
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edge = 0.25f;
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}
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// blend with original image
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float result = alpha + (1.0f-alpha)*edge;
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unsigned char val = sk_float_round2int(255*result);
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*dfPtr++ = val;
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#else
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float dist;
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if (currData->fAlpha > 0.5f) {
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dist = -SkScalarSqrt(currData->fDistSq);
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} else {
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dist = SkScalarSqrt(currData->fDistSq);
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}
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*dfPtr++ = pack_distance_field_val<SK_DistanceFieldMagnitude>(dist);
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#endif
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++currData;
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++currEdge;
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}
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currData += 2;
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currEdge += 2;
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}
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return true;
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}
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// assumes an 8-bit image and distance field
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bool SkGenerateDistanceFieldFromA8Image(unsigned char* distanceField,
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const unsigned char* image,
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int width, int height, size_t rowBytes) {
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SkASSERT(distanceField);
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SkASSERT(image);
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// create temp data
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SkAutoSMalloc<1024> copyStorage((width+2)*(height+2)*sizeof(char));
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unsigned char* copyPtr = (unsigned char*) copyStorage.get();
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// we copy our source image into a padded copy to ensure we catch edge transitions
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// around the outside
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const unsigned char* currSrcScanLine = image;
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sk_bzero(copyPtr, (width+2)*sizeof(char));
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unsigned char* currDestPtr = copyPtr + width + 2;
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for (int i = 0; i < height; ++i) {
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*currDestPtr++ = 0;
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memcpy(currDestPtr, currSrcScanLine, width);
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currSrcScanLine += rowBytes;
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currDestPtr += width;
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*currDestPtr++ = 0;
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}
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sk_bzero(currDestPtr, (width+2)*sizeof(char));
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return generate_distance_field_from_image(distanceField, copyPtr, width, height);
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}
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// assumes a 16-bit lcd mask and 8-bit distance field
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bool SkGenerateDistanceFieldFromLCD16Mask(unsigned char* distanceField,
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const unsigned char* image,
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int w, int h, size_t rowBytes) {
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SkASSERT(distanceField);
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SkASSERT(image);
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// create temp data
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SkAutoSMalloc<1024> copyStorage((w+2)*(h+2)*sizeof(char));
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unsigned char* copyPtr = (unsigned char*) copyStorage.get();
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// we copy our source image into a padded copy to ensure we catch edge transitions
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// around the outside
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const uint16_t* start = reinterpret_cast<const uint16_t*>(image);
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auto currSrcScanline = SkMask::AlphaIter<SkMask::kLCD16_Format>(start);
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auto endSrcScanline = SkMask::AlphaIter<SkMask::kLCD16_Format>(start + w);
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sk_bzero(copyPtr, (w+2)*sizeof(char));
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unsigned char* currDestPtr = copyPtr + w + 2;
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for (int i = 0; i < h; ++i, currSrcScanline >>= rowBytes, endSrcScanline >>= rowBytes) {
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*currDestPtr++ = 0;
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for (auto src = currSrcScanline; src < endSrcScanline; ++src) {
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*currDestPtr++ = *src;
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}
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*currDestPtr++ = 0;
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}
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sk_bzero(currDestPtr, (w+2)*sizeof(char));
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return generate_distance_field_from_image(distanceField, copyPtr, w, h);
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}
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// assumes a 1-bit image and 8-bit distance field
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bool SkGenerateDistanceFieldFromBWImage(unsigned char* distanceField,
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const unsigned char* image,
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int width, int height, size_t rowBytes) {
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SkASSERT(distanceField);
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SkASSERT(image);
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// create temp data
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SkAutoSMalloc<1024> copyStorage((width+2)*(height+2)*sizeof(char));
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unsigned char* copyPtr = (unsigned char*) copyStorage.get();
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// we copy our source image into a padded copy to ensure we catch edge transitions
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// around the outside
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const unsigned char* currSrcScanLine = image;
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sk_bzero(copyPtr, (width+2)*sizeof(char));
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unsigned char* currDestPtr = copyPtr + width + 2;
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for (int i = 0; i < height; ++i) {
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*currDestPtr++ = 0;
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int rowWritesLeft = width;
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const unsigned char *maskPtr = currSrcScanLine;
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while (rowWritesLeft > 0) {
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unsigned mask = *maskPtr++;
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for (int i = 7; i >= 0 && rowWritesLeft; --i, --rowWritesLeft) {
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*currDestPtr++ = (mask & (1 << i)) ? 0xff : 0;
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}
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}
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currSrcScanLine += rowBytes;
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*currDestPtr++ = 0;
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}
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sk_bzero(currDestPtr, (width+2)*sizeof(char));
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return generate_distance_field_from_image(distanceField, copyPtr, width, height);
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}
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