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/**
* Copyright (C) 2003, 2006, 2010 Apple Inc. All rights reserved.
* Copyright (C) 2008 Holger Hans Peter Freyther
* Copyright (C) 2009 Torch Mobile, Inc.
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Library General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Library General Public License for more details.
*
* You should have received a copy of the GNU Library General Public License
* along with this library; see the file COPYING.LIB. If not, write to
* the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
* Boston, MA 02110-1301, USA.
*
*/
#include "config.h"
#include "core/platform/graphics/Font.h"
#include "core/platform/graphics/FloatRect.h"
#include "core/platform/graphics/FontCache.h"
#include "core/platform/graphics/FontFallbackList.h"
#include "core/platform/graphics/GlyphBuffer.h"
#include "core/platform/graphics/GlyphPageTreeNode.h"
#include "core/platform/graphics/SimpleFontData.h"
#include "core/platform/graphics/TextRun.h"
#include "core/platform/graphics/WidthIterator.h"
#include "wtf/MainThread.h"
#include "wtf/MathExtras.h"
#include "wtf/unicode/CharacterNames.h"
#include "wtf/unicode/Unicode.h"
using namespace WTF;
using namespace Unicode;
using namespace std;
namespace WebCore {
static inline bool isInRange(UChar32 character, UChar32 lowerBound, UChar32 upperBound)
{
return character >= lowerBound && character <= upperBound;
}
static bool shouldIgnoreRotation(UChar32 character)
{
if (character == 0x000A7 || character == 0x000A9 || character == 0x000AE)
return true;
if (character == 0x000B6 || character == 0x000BC || character == 0x000BD || character == 0x000BE)
return true;
if (isInRange(character, 0x002E5, 0x002EB))
return true;
if (isInRange(character, 0x01100, 0x011FF) || isInRange(character, 0x01401, 0x0167F) || isInRange(character, 0x01800, 0x018FF))
return true;
if (character == 0x02016 || character == 0x02018 || character == 0x02019 || character == 0x02020 || character == 0x02021
|| character == 0x2030 || character == 0x02031)
return true;
if (isInRange(character, 0x0203B, 0x0203D) || character == 0x02042 || character == 0x02044 || character == 0x02047
|| character == 0x02048 || character == 0x02049 || character == 0x2051)
return true;
if (isInRange(character, 0x02065, 0x02069) || isInRange(character, 0x020DD, 0x020E0)
|| isInRange(character, 0x020E2, 0x020E4) || isInRange(character, 0x02100, 0x02117)
|| isInRange(character, 0x02119, 0x02131) || isInRange(character, 0x02133, 0x0213F))
return true;
if (isInRange(character, 0x02145, 0x0214A) || character == 0x0214C || character == 0x0214D
|| isInRange(character, 0x0214F, 0x0218F))
return true;
if (isInRange(character, 0x02300, 0x02307) || isInRange(character, 0x0230C, 0x0231F)
|| isInRange(character, 0x02322, 0x0232B) || isInRange(character, 0x0237D, 0x0239A)
|| isInRange(character, 0x023B4, 0x023B6) || isInRange(character, 0x023BA, 0x023CF)
|| isInRange(character, 0x023D1, 0x023DB) || isInRange(character, 0x023E2, 0x024FF))
return true;
if (isInRange(character, 0x025A0, 0x02619) || isInRange(character, 0x02620, 0x02767)
|| isInRange(character, 0x02776, 0x02793) || isInRange(character, 0x02B12, 0x02B2F)
|| isInRange(character, 0x02B4D, 0x02BFF) || isInRange(character, 0x02E80, 0x03007))
return true;
if (character == 0x03012 || character == 0x03013 || isInRange(character, 0x03020, 0x0302F)
|| isInRange(character, 0x03031, 0x0309F) || isInRange(character, 0x030A1, 0x030FB)
|| isInRange(character, 0x030FD, 0x0A4CF))
return true;
if (isInRange(character, 0x0A840, 0x0A87F) || isInRange(character, 0x0A960, 0x0A97F)
|| isInRange(character, 0x0AC00, 0x0D7FF) || isInRange(character, 0x0E000, 0x0FAFF))
return true;
if (isInRange(character, 0x0FE10, 0x0FE1F) || isInRange(character, 0x0FE30, 0x0FE48)
|| isInRange(character, 0x0FE50, 0x0FE57) || isInRange(character, 0x0FE5F, 0x0FE62)
|| isInRange(character, 0x0FE67, 0x0FE6F))
return true;
if (isInRange(character, 0x0FF01, 0x0FF07) || isInRange(character, 0x0FF0A, 0x0FF0C)
|| isInRange(character, 0x0FF0E, 0x0FF19) ||isInRange (character, 0x0FF1F, 0x0FF3A))
return true;
if (character == 0x0FF3C || character == 0x0FF3E)
return true;
if (isInRange(character, 0x0FF40, 0x0FF5A) || isInRange(character, 0x0FFE0, 0x0FFE2)
|| isInRange(character, 0x0FFE4, 0x0FFE7) || isInRange(character, 0x0FFF0, 0x0FFF8)
|| character == 0x0FFFD)
return true;
if (isInRange(character, 0x13000, 0x1342F) || isInRange(character, 0x1B000, 0x1B0FF)
|| isInRange(character, 0x1D000, 0x1D1FF) || isInRange(character, 0x1D300, 0x1D37F)
|| isInRange(character, 0x1F000, 0x1F64F) || isInRange(character, 0x1F680, 0x1F77F))
return true;
if (isInRange(character, 0x20000, 0x2FFFD) || isInRange(character, 0x30000, 0x3FFFD))
return true;
return false;
}
static inline std::pair<GlyphData, GlyphPage*> glyphDataAndPageForNonCJKCharacterWithGlyphOrientation(UChar32 character, NonCJKGlyphOrientation orientation, GlyphData& data, GlyphPage* page, unsigned pageNumber)
{
if (orientation == NonCJKGlyphOrientationUpright || shouldIgnoreRotation(character)) {
RefPtr<SimpleFontData> uprightFontData = data.fontData->uprightOrientationFontData();
GlyphPageTreeNode* uprightNode = GlyphPageTreeNode::getRootChild(uprightFontData.get(), pageNumber);
GlyphPage* uprightPage = uprightNode->page();
if (uprightPage) {
GlyphData uprightData = uprightPage->glyphDataForCharacter(character);
// If the glyphs are the same, then we know we can just use the horizontal glyph rotated vertically to be upright.
if (data.glyph == uprightData.glyph)
return make_pair(data, page);
// The glyphs are distinct, meaning that the font has a vertical-right glyph baked into it. We can't use that
// glyph, so we fall back to the upright data and use the horizontal glyph.
if (uprightData.fontData)
return make_pair(uprightData, uprightPage);
}
} else if (orientation == NonCJKGlyphOrientationVerticalRight) {
RefPtr<SimpleFontData> verticalRightFontData = data.fontData->verticalRightOrientationFontData();
GlyphPageTreeNode* verticalRightNode = GlyphPageTreeNode::getRootChild(verticalRightFontData.get(), pageNumber);
GlyphPage* verticalRightPage = verticalRightNode->page();
if (verticalRightPage) {
GlyphData verticalRightData = verticalRightPage->glyphDataForCharacter(character);
// If the glyphs are distinct, we will make the assumption that the font has a vertical-right glyph baked
// into it.
if (data.glyph != verticalRightData.glyph)
return make_pair(data, page);
// The glyphs are identical, meaning that we should just use the horizontal glyph.
if (verticalRightData.fontData)
return make_pair(verticalRightData, verticalRightPage);
}
}
return make_pair(data, page);
}
std::pair<GlyphData, GlyphPage*> Font::glyphDataAndPageForCharacter(UChar32 c, bool mirror, FontDataVariant variant) const
{
ASSERT(isMainThread());
if (variant == AutoVariant) {
if (m_fontDescription.smallCaps() && !primaryFont()->isSVGFont()) {
UChar32 upperC = toUpper(c);
if (upperC != c) {
c = upperC;
variant = SmallCapsVariant;
} else
variant = NormalVariant;
} else
variant = NormalVariant;
}
if (mirror)
c = mirroredChar(c);
unsigned pageNumber = (c / GlyphPage::size);
GlyphPageTreeNode* node = pageNumber ? m_fontFallbackList->m_pages.get(pageNumber) : m_fontFallbackList->m_pageZero;
if (!node) {
node = GlyphPageTreeNode::getRootChild(fontDataAt(0), pageNumber);
if (pageNumber)
m_fontFallbackList->m_pages.set(pageNumber, node);
else
m_fontFallbackList->m_pageZero = node;
}
GlyphPage* page = 0;
if (variant == NormalVariant) {
// Fastest loop, for the common case (normal variant).
while (true) {
page = node->page();
if (page) {
GlyphData data = page->glyphDataForCharacter(c);
if (data.fontData && (data.fontData->platformData().orientation() == Horizontal || data.fontData->isTextOrientationFallback()))
return make_pair(data, page);
if (data.fontData) {
if (isCJKIdeographOrSymbol(c)) {
if (!data.fontData->hasVerticalGlyphs()) {
// Use the broken ideograph font data. The broken ideograph font will use the horizontal width of glyphs
// to make sure you get a square (even for broken glyphs like symbols used for punctuation).
variant = BrokenIdeographVariant;
break;
}
} else
return glyphDataAndPageForNonCJKCharacterWithGlyphOrientation(c, m_fontDescription.nonCJKGlyphOrientation(), data, page, pageNumber);
return make_pair(data, page);
}
if (node->isSystemFallback())
break;
}
// Proceed with the fallback list.
node = node->getChild(fontDataAt(node->level()), pageNumber);
if (pageNumber)
m_fontFallbackList->m_pages.set(pageNumber, node);
else
m_fontFallbackList->m_pageZero = node;
}
}
if (variant != NormalVariant) {
while (true) {
page = node->page();
if (page) {
GlyphData data = page->glyphDataForCharacter(c);
if (data.fontData) {
// The variantFontData function should not normally return 0.
// But if it does, we will just render the capital letter big.
RefPtr<SimpleFontData> variantFontData = data.fontData->variantFontData(m_fontDescription, variant);
if (!variantFontData)
return make_pair(data, page);
GlyphPageTreeNode* variantNode = GlyphPageTreeNode::getRootChild(variantFontData.get(), pageNumber);
GlyphPage* variantPage = variantNode->page();
if (variantPage) {
GlyphData data = variantPage->glyphDataForCharacter(c);
if (data.fontData)
return make_pair(data, variantPage);
}
// Do not attempt system fallback off the variantFontData. This is the very unlikely case that
// a font has the lowercase character but the small caps font does not have its uppercase version.
return make_pair(variantFontData->missingGlyphData(), page);
}
if (node->isSystemFallback())
break;
}
// Proceed with the fallback list.
node = node->getChild(fontDataAt(node->level()), pageNumber);
if (pageNumber)
m_fontFallbackList->m_pages.set(pageNumber, node);
else
m_fontFallbackList->m_pageZero = node;
}
}
ASSERT(page);
ASSERT(node->isSystemFallback());
// System fallback is character-dependent. When we get here, we
// know that the character in question isn't in the system fallback
// font's glyph page. Try to lazily create it here.
// FIXME: Unclear if this should normalizeSpaces above 0xFFFF.
// Doing so changes fast/text/international/plane2-diffs.html
UChar32 characterToRender = c;
if (characterToRender <= 0xFFFF)
characterToRender = Font::normalizeSpaces(characterToRender);
RefPtr<SimpleFontData> characterFontData = fontCache()->getFontDataForCharacter(*this, characterToRender);
if (characterFontData) {
if (characterFontData->platformData().orientation() == Vertical && !characterFontData->hasVerticalGlyphs() && isCJKIdeographOrSymbol(c))
variant = BrokenIdeographVariant;
if (variant != NormalVariant)
characterFontData = characterFontData->variantFontData(m_fontDescription, variant);
}
if (characterFontData) {
// Got the fallback glyph and font.
GlyphPage* fallbackPage = GlyphPageTreeNode::getRootChild(characterFontData.get(), pageNumber)->page();
GlyphData data = fallbackPage && fallbackPage->fontDataForCharacter(c) ? fallbackPage->glyphDataForCharacter(c) : characterFontData->missingGlyphData();
// Cache it so we don't have to do system fallback again next time.
if (variant == NormalVariant) {
page->setGlyphDataForCharacter(c, data.glyph, data.fontData);
data.fontData->setMaxGlyphPageTreeLevel(max(data.fontData->maxGlyphPageTreeLevel(), node->level()));
if (!isCJKIdeographOrSymbol(c) && data.fontData->platformData().orientation() != Horizontal && !data.fontData->isTextOrientationFallback())
return glyphDataAndPageForNonCJKCharacterWithGlyphOrientation(c, m_fontDescription.nonCJKGlyphOrientation(), data, fallbackPage, pageNumber);
}
return make_pair(data, page);
}
// Even system fallback can fail; use the missing glyph in that case.
// FIXME: It would be nicer to use the missing glyph from the last resort font instead.
GlyphData data = primaryFont()->missingGlyphData();
if (variant == NormalVariant) {
page->setGlyphDataForCharacter(c, data.glyph, data.fontData);
data.fontData->setMaxGlyphPageTreeLevel(max(data.fontData->maxGlyphPageTreeLevel(), node->level()));
}
return make_pair(data, page);
}
bool Font::primaryFontHasGlyphForCharacter(UChar32 character) const
{
unsigned pageNumber = (character / GlyphPage::size);
GlyphPageTreeNode* node = GlyphPageTreeNode::getRootChild(primaryFont(), pageNumber);
GlyphPage* page = node->page();
return page && page->fontDataForCharacter(character);
}
// FIXME: This function may not work if the emphasis mark uses a complex script, but none of the
// standard emphasis marks do so.
bool Font::getEmphasisMarkGlyphData(const AtomicString& mark, GlyphData& glyphData) const
{
if (mark.isEmpty())
return false;
UChar32 character = mark[0];
if (U16_IS_SURROGATE(character)) {
if (!U16_IS_SURROGATE_LEAD(character))
return false;
if (mark.length() < 2)
return false;
UChar low = mark[1];
if (!U16_IS_TRAIL(low))
return false;
character = U16_GET_SUPPLEMENTARY(character, low);
}
glyphData = glyphDataForCharacter(character, false, EmphasisMarkVariant);
return true;
}
int Font::emphasisMarkAscent(const AtomicString& mark) const
{
FontCachePurgePreventer purgePreventer;
GlyphData markGlyphData;
if (!getEmphasisMarkGlyphData(mark, markGlyphData))
return 0;
const SimpleFontData* markFontData = markGlyphData.fontData;
ASSERT(markFontData);
if (!markFontData)
return 0;
return markFontData->fontMetrics().ascent();
}
int Font::emphasisMarkDescent(const AtomicString& mark) const
{
FontCachePurgePreventer purgePreventer;
GlyphData markGlyphData;
if (!getEmphasisMarkGlyphData(mark, markGlyphData))
return 0;
const SimpleFontData* markFontData = markGlyphData.fontData;
ASSERT(markFontData);
if (!markFontData)
return 0;
return markFontData->fontMetrics().descent();
}
int Font::emphasisMarkHeight(const AtomicString& mark) const
{
FontCachePurgePreventer purgePreventer;
GlyphData markGlyphData;
if (!getEmphasisMarkGlyphData(mark, markGlyphData))
return 0;
const SimpleFontData* markFontData = markGlyphData.fontData;
ASSERT(markFontData);
if (!markFontData)
return 0;
return markFontData->fontMetrics().height();
}
float Font::getGlyphsAndAdvancesForSimpleText(const TextRun& run, int from, int to, GlyphBuffer& glyphBuffer, ForTextEmphasisOrNot forTextEmphasis) const
{
float initialAdvance;
WidthIterator it(this, run, 0, false, forTextEmphasis);
// FIXME: Using separate glyph buffers for the prefix and the suffix is incorrect when kerning or
// ligatures are enabled.
GlyphBuffer localGlyphBuffer;
it.advance(from, &localGlyphBuffer);
float beforeWidth = it.m_runWidthSoFar;
it.advance(to, &glyphBuffer);
if (glyphBuffer.isEmpty())
return 0;
float afterWidth = it.m_runWidthSoFar;
if (run.rtl()) {
float finalRoundingWidth = it.m_finalRoundingWidth;
it.advance(run.length(), &localGlyphBuffer);
initialAdvance = finalRoundingWidth + it.m_runWidthSoFar - afterWidth;
} else
initialAdvance = beforeWidth;
if (run.rtl())
glyphBuffer.reverse(0, glyphBuffer.size());
return initialAdvance;
}
void Font::drawSimpleText(GraphicsContext* context, const TextRunPaintInfo& runInfo, const FloatPoint& point) const
{
// This glyph buffer holds our glyphs+advances+font data for each glyph.
GlyphBuffer glyphBuffer;
float startX = point.x() + getGlyphsAndAdvancesForSimpleText(runInfo.run, runInfo.from, runInfo.to, glyphBuffer);
if (glyphBuffer.isEmpty())
return;
FloatPoint startPoint(startX, point.y());
drawGlyphBuffer(context, runInfo, glyphBuffer, startPoint);
}
void Font::drawEmphasisMarksForSimpleText(GraphicsContext* context, const TextRunPaintInfo& runInfo, const AtomicString& mark, const FloatPoint& point) const
{
GlyphBuffer glyphBuffer;
float initialAdvance = getGlyphsAndAdvancesForSimpleText(runInfo.run, runInfo.from, runInfo.to, glyphBuffer, ForTextEmphasis);
if (glyphBuffer.isEmpty())
return;
drawEmphasisMarks(context, runInfo, glyphBuffer, mark, FloatPoint(point.x() + initialAdvance, point.y()));
}
void Font::drawGlyphBuffer(GraphicsContext* context, const TextRunPaintInfo& runInfo, const GlyphBuffer& glyphBuffer, const FloatPoint& point) const
{
// Draw each contiguous run of glyphs that use the same font data.
const SimpleFontData* fontData = glyphBuffer.fontDataAt(0);
FloatPoint startPoint(point);
float nextX = startPoint.x() + glyphBuffer.advanceAt(0);
int lastFrom = 0;
int nextGlyph = 1;
#if ENABLE(SVG_FONTS)
TextRun::RenderingContext* renderingContext = runInfo.run.renderingContext();
#endif
while (nextGlyph < glyphBuffer.size()) {
const SimpleFontData* nextFontData = glyphBuffer.fontDataAt(nextGlyph);
if (nextFontData != fontData) {
#if ENABLE(SVG_FONTS)
if (renderingContext && fontData->isSVGFont())
renderingContext->drawSVGGlyphs(context, runInfo.run, fontData, glyphBuffer, lastFrom, nextGlyph - lastFrom, startPoint);
else
#endif
drawGlyphs(context, fontData, glyphBuffer, lastFrom, nextGlyph - lastFrom, startPoint, runInfo.bounds);
lastFrom = nextGlyph;
fontData = nextFontData;
startPoint.setX(nextX);
}
nextX += glyphBuffer.advanceAt(nextGlyph);
nextGlyph++;
}
#if ENABLE(SVG_FONTS)
if (renderingContext && fontData->isSVGFont())
renderingContext->drawSVGGlyphs(context, runInfo.run, fontData, glyphBuffer, lastFrom, nextGlyph - lastFrom, startPoint);
else
#endif
drawGlyphs(context, fontData, glyphBuffer, lastFrom, nextGlyph - lastFrom, startPoint, runInfo.bounds);
}
inline static float offsetToMiddleOfGlyph(const SimpleFontData* fontData, Glyph glyph)
{
if (fontData->platformData().orientation() == Horizontal) {
FloatRect bounds = fontData->boundsForGlyph(glyph);
return bounds.x() + bounds.width() / 2;
}
// FIXME: Use glyph bounds once they make sense for vertical fonts.
return fontData->widthForGlyph(glyph) / 2;
}
inline static float offsetToMiddleOfGlyphAtIndex(const GlyphBuffer& glyphBuffer, size_t i)
{
return offsetToMiddleOfGlyph(glyphBuffer.fontDataAt(i), glyphBuffer.glyphAt(i));
}
void Font::drawEmphasisMarks(GraphicsContext* context, const TextRunPaintInfo& runInfo, const GlyphBuffer& glyphBuffer, const AtomicString& mark, const FloatPoint& point) const
{
FontCachePurgePreventer purgePreventer;
GlyphData markGlyphData;
if (!getEmphasisMarkGlyphData(mark, markGlyphData))
return;
const SimpleFontData* markFontData = markGlyphData.fontData;
ASSERT(markFontData);
if (!markFontData)
return;
Glyph markGlyph = markGlyphData.glyph;
Glyph spaceGlyph = markFontData->spaceGlyph();
float middleOfLastGlyph = offsetToMiddleOfGlyphAtIndex(glyphBuffer, 0);
FloatPoint startPoint(point.x() + middleOfLastGlyph - offsetToMiddleOfGlyph(markFontData, markGlyph), point.y());
GlyphBuffer markBuffer;
for (int i = 0; i + 1 < glyphBuffer.size(); ++i) {
float middleOfNextGlyph = offsetToMiddleOfGlyphAtIndex(glyphBuffer, i + 1);
float advance = glyphBuffer.advanceAt(i) - middleOfLastGlyph + middleOfNextGlyph;
markBuffer.add(glyphBuffer.glyphAt(i) ? markGlyph : spaceGlyph, markFontData, advance);
middleOfLastGlyph = middleOfNextGlyph;
}
markBuffer.add(glyphBuffer.glyphAt(glyphBuffer.size() - 1) ? markGlyph : spaceGlyph, markFontData, 0);
drawGlyphBuffer(context, runInfo, markBuffer, startPoint);
}
float Font::floatWidthForSimpleText(const TextRun& run, HashSet<const SimpleFontData*>* fallbackFonts, GlyphOverflow* glyphOverflow) const
{
WidthIterator it(this, run, fallbackFonts, glyphOverflow);
GlyphBuffer glyphBuffer;
it.advance(run.length(), (typesettingFeatures() & (Kerning | Ligatures)) ? &glyphBuffer : 0);
if (glyphOverflow) {
glyphOverflow->top = max<int>(glyphOverflow->top, ceilf(-it.minGlyphBoundingBoxY()) - (glyphOverflow->computeBounds ? 0 : fontMetrics().ascent()));
glyphOverflow->bottom = max<int>(glyphOverflow->bottom, ceilf(it.maxGlyphBoundingBoxY()) - (glyphOverflow->computeBounds ? 0 : fontMetrics().descent()));
glyphOverflow->left = ceilf(it.firstGlyphOverflow());
glyphOverflow->right = ceilf(it.lastGlyphOverflow());
}
return it.m_runWidthSoFar;
}
FloatRect Font::selectionRectForSimpleText(const TextRun& run, const FloatPoint& point, int h, int from, int to) const
{
GlyphBuffer glyphBuffer;
WidthIterator it(this, run);
it.advance(from, &glyphBuffer);
float beforeWidth = it.m_runWidthSoFar;
it.advance(to, &glyphBuffer);
float afterWidth = it.m_runWidthSoFar;
// Using roundf() rather than ceilf() for the right edge as a compromise to ensure correct caret positioning.
if (run.rtl()) {
it.advance(run.length(), &glyphBuffer);
float totalWidth = it.m_runWidthSoFar;
return FloatRect(floorf(point.x() + totalWidth - afterWidth), point.y(), roundf(point.x() + totalWidth - beforeWidth) - floorf(point.x() + totalWidth - afterWidth), h);
}
return FloatRect(floorf(point.x() + beforeWidth), point.y(), roundf(point.x() + afterWidth) - floorf(point.x() + beforeWidth), h);
}
int Font::offsetForPositionForSimpleText(const TextRun& run, float x, bool includePartialGlyphs) const
{
float delta = x;
WidthIterator it(this, run);
GlyphBuffer localGlyphBuffer;
unsigned offset;
if (run.rtl()) {
delta -= floatWidthForSimpleText(run);
while (1) {
offset = it.m_currentCharacter;
float w;
if (!it.advanceOneCharacter(w, localGlyphBuffer))
break;
delta += w;
if (includePartialGlyphs) {
if (delta - w / 2 >= 0)
break;
} else {
if (delta >= 0)
break;
}
}
} else {
while (1) {
offset = it.m_currentCharacter;
float w;
if (!it.advanceOneCharacter(w, localGlyphBuffer))
break;
delta -= w;
if (includePartialGlyphs) {
if (delta + w / 2 <= 0)
break;
} else {
if (delta <= 0)
break;
}
}
}
return offset;
}
}