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