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solvespace/src/ttf.cpp
whitequark 5c9c32cfc7 Rigorously treat paths on every platform. 
After this commit, SolveSpace deals with paths as follows:

  * Paths are generally treated as opaque platform-specific strings.
    This helps on Linux, because paths on Linux don't have any
    specific encoding and it helps to avoid any operations on them.

  * The UI in some places wants to get a basename. In this case,
    the newly introduced PATH_SEP is used. This allows to treat
    backslash as a regular character, which it is on Linux and OS X.

  * The only place where any nontrivial operations on paths are
    performed is the g->impFile/impFileRel logic.

    Specifically, when saved, g->impFile always contains an absolute
    path with separators of the current platform, and g->impFileRel
    always contains a relative path with UNIX separators. This allows
    to treat backslash as a regular character.

    Old files will contain g->impFileRel with Windows separators;
    these are detected by looking for a drive letter in g->impFile
    and in that case mapping Windows separators to UNIX ones.

There is no need to treat UNIX separators (forward slashes) in
any special way on Windows because there is no way on Windows,
not even via UNC paths, to create or address a directory entry
with a forward slash in its name.
2016-01-13 06:45:16 +00:00

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//-----------------------------------------------------------------------------
// Routines to read a TrueType font as vector outlines, and generate them
// as entities, since they're always representable as either lines or
// quadratic Bezier curves.
//
// Copyright 2008-2013 Jonathan Westhues.
//-----------------------------------------------------------------------------
#include "solvespace.h"
//-----------------------------------------------------------------------------
// Get the list of available font filenames, and load the name for each of
// them. Only that, though, not the glyphs too.
//-----------------------------------------------------------------------------
void TtfFontList::LoadAll(void) {
if(loaded) return;
// Get the list of font files from the platform-specific code.
LoadAllFontFiles();
int i;
for(i = 0; i < l.n; i++) {
TtfFont *tf = &(l.elem[i]);
tf->LoadFontFromFile(true);
}
loaded = true;
}
void TtfFontList::PlotString(const std::string &font, char *str, double spacing,
SBezierList *sbl,
Vector origin, Vector u, Vector v)
{
LoadAll();
int i;
for(i = 0; i < l.n; i++) {
TtfFont *tf = &(l.elem[i]);
if(tf->FontFileBaseName() == font) {
tf->LoadFontFromFile(false);
tf->PlotString(str, spacing, sbl, origin, u, v);
return;
}
}
// Couldn't find the font; so draw a big X for an error marker.
SBezier sb;
sb = SBezier::From(origin, origin.Plus(u).Plus(v));
sbl->l.Add(&sb);
sb = SBezier::From(origin.Plus(v), origin.Plus(u));
sbl->l.Add(&sb);
}
//=============================================================================
//-----------------------------------------------------------------------------
// Get a single character from the open .ttf file; EOF is an error, since
// we can always see that coming.
//-----------------------------------------------------------------------------
int TtfFont::Getc(void) {
int c = fgetc(fh);
if(c == EOF) {
throw "EOF";
}
return c;
}
//-----------------------------------------------------------------------------
// Helpers to get 1, 2, or 4 bytes from the .ttf file. Big endian.
// The BYTE, USHORT and ULONG nomenclature comes from the OpenType spec.
//-----------------------------------------------------------------------------
uint8_t TtfFont::GetBYTE(void) {
return (uint8_t)Getc();
}
uint16_t TtfFont::GetUSHORT(void) {
uint8_t b0, b1;
b1 = (uint8_t)Getc();
b0 = (uint8_t)Getc();
return (uint16_t)(b1 << 8) | b0;
}
uint32_t TtfFont::GetULONG(void) {
uint8_t b0, b1, b2, b3;
b3 = (uint8_t)Getc();
b2 = (uint8_t)Getc();
b1 = (uint8_t)Getc();
b0 = (uint8_t)Getc();
return
(uint32_t)(b3 << 24) |
(uint32_t)(b2 << 16) |
(uint32_t)(b1 << 8) |
b0;
}
//-----------------------------------------------------------------------------
// Load a glyph from the .ttf file into memory. Assumes that the .ttf file
// is already seeked to the correct location, and writes the result to
// glyphs[index]
//-----------------------------------------------------------------------------
void TtfFont::LoadGlyph(int index) {
if(index < 0 || index >= glyphs) return;
int i;
int16_t contours = (int16_t)GetUSHORT();
int16_t xMin = (int16_t)GetUSHORT();
int16_t yMin = (int16_t)GetUSHORT();
int16_t xMax = (int16_t)GetUSHORT();
int16_t yMax = (int16_t)GetUSHORT();
if(useGlyph[(int)'A'] == index) {
scale = (1024*1024) / yMax;
}
if(contours > 0) {
uint16_t *endPointsOfContours =
(uint16_t *)AllocTemporary(contours*sizeof(uint16_t));
for(i = 0; i < contours; i++) {
endPointsOfContours[i] = GetUSHORT();
}
uint16_t totalPts = endPointsOfContours[i-1] + 1;
uint16_t instructionLength = GetUSHORT();
for(i = 0; i < instructionLength; i++) {
// We can ignore the instructions, since we're doing vector
// output.
(void)GetBYTE();
}
uint8_t *flags = (uint8_t *)AllocTemporary(totalPts*sizeof(uint8_t));
int16_t *x = (int16_t *)AllocTemporary(totalPts*sizeof(int16_t));
int16_t *y = (int16_t *)AllocTemporary(totalPts*sizeof(int16_t));
// Flags, that indicate format of the coordinates
#define FLAG_ON_CURVE (1 << 0)
#define FLAG_DX_IS_BYTE (1 << 1)
#define FLAG_DY_IS_BYTE (1 << 2)
#define FLAG_REPEAT (1 << 3)
#define FLAG_X_IS_SAME (1 << 4)
#define FLAG_X_IS_POSITIVE (1 << 4)
#define FLAG_Y_IS_SAME (1 << 5)
#define FLAG_Y_IS_POSITIVE (1 << 5)
for(i = 0; i < totalPts; i++) {
flags[i] = GetBYTE();
if(flags[i] & FLAG_REPEAT) {
int n = GetBYTE();
uint8_t f = flags[i];
int j;
for(j = 0; j < n; j++) {
i++;
if(i >= totalPts) {
throw "too many points in glyph";
}
flags[i] = f;
}
}
}
// x coordinates
int16_t xa = 0;
for(i = 0; i < totalPts; i++) {
if(flags[i] & FLAG_DX_IS_BYTE) {
uint8_t v = GetBYTE();
if(flags[i] & FLAG_X_IS_POSITIVE) {
xa += v;
} else {
xa -= v;
}
} else {
if(flags[i] & FLAG_X_IS_SAME) {
// no change
} else {
int16_t d = (int16_t)GetUSHORT();
xa += d;
}
}
x[i] = xa;
}
// y coordinates
int16_t ya = 0;
for(i = 0; i < totalPts; i++) {
if(flags[i] & FLAG_DY_IS_BYTE) {
uint8_t v = GetBYTE();
if(flags[i] & FLAG_Y_IS_POSITIVE) {
ya += v;
} else {
ya -= v;
}
} else {
if(flags[i] & FLAG_Y_IS_SAME) {
// no change
} else {
int16_t d = (int16_t)GetUSHORT();
ya += d;
}
}
y[i] = ya;
}
Glyph *g = &(glyph[index]);
g->pt = (FontPoint *)MemAlloc(totalPts*sizeof(FontPoint));
int contour = 0;
for(i = 0; i < totalPts; i++) {
g->pt[i].x = x[i];
g->pt[i].y = y[i];
g->pt[i].onCurve = (uint8_t)(flags[i] & FLAG_ON_CURVE);
if(i == endPointsOfContours[contour]) {
g->pt[i].lastInContour = true;
contour++;
} else {
g->pt[i].lastInContour = false;
}
}
g->pts = totalPts;
g->xMax = xMax;
g->xMin = xMin;
} else {
// This is a composite glyph, TODO.
}
}
//-----------------------------------------------------------------------------
// Return the basename of our font filename; that's how the requests and
// entities that reference us will store it.
//-----------------------------------------------------------------------------
std::string TtfFont::FontFileBaseName(void) {
std::string baseName = fontFile;
size_t pos = baseName.rfind(PATH_SEP);
if(pos != std::string::npos)
return baseName.erase(0, pos + 1);
return "";
}
//-----------------------------------------------------------------------------
// Load a TrueType font into memory. We care about the curves that define
// the letter shapes, and about the mappings that determine which glyph goes
// with which character.
//-----------------------------------------------------------------------------
bool TtfFont::LoadFontFromFile(bool nameOnly) {
if(loaded) return true;
int i;
fh = fopen(fontFile.c_str(), "rb");
if(!fh) {
return false;
}
try {
// First, load the Offset Table
uint32_t version = GetULONG();
uint16_t numTables = GetUSHORT();
uint16_t searchRange = GetUSHORT();
uint16_t entrySelector = GetUSHORT();
uint16_t rangeShift = GetUSHORT();
// Now load the Table Directory; our goal in doing this will be to
// find the addresses of the tables that we will need.
uint32_t glyfAddr = (uint32_t)-1, glyfLen;
uint32_t cmapAddr = (uint32_t)-1, cmapLen;
uint32_t headAddr = (uint32_t)-1, headLen;
uint32_t locaAddr = (uint32_t)-1, locaLen;
uint32_t maxpAddr = (uint32_t)-1, maxpLen;
uint32_t nameAddr = (uint32_t)-1, nameLen;
uint32_t hmtxAddr = (uint32_t)-1, hmtxLen;
uint32_t hheaAddr = (uint32_t)-1, hheaLen;
for(i = 0; i < numTables; i++) {
char tag[5] = "xxxx";
tag[0] = (char)GetBYTE();
tag[1] = (char)GetBYTE();
tag[2] = (char)GetBYTE();
tag[3] = (char)GetBYTE();
uint32_t checksum = GetULONG();
uint32_t offset = GetULONG();
uint32_t length = GetULONG();
if(strcmp(tag, "glyf")==0) {
glyfAddr = offset;
glyfLen = length;
} else if(strcmp(tag, "cmap")==0) {
cmapAddr = offset;
cmapLen = length;
} else if(strcmp(tag, "head")==0) {
headAddr = offset;
headLen = length;
} else if(strcmp(tag, "loca")==0) {
locaAddr = offset;
locaLen = length;
} else if(strcmp(tag, "maxp")==0) {
maxpAddr = offset;
maxpLen = length;
} else if(strcmp(tag, "name")==0) {
nameAddr = offset;
nameLen = length;
} else if(strcmp(tag, "hhea")==0) {
hheaAddr = offset;
hheaLen = length;
} else if(strcmp(tag, "hmtx")==0) {
hmtxAddr = offset;
hmtxLen = length;
}
}
if(glyfAddr == (uint32_t)-1 ||
cmapAddr == (uint32_t)-1 ||
headAddr == (uint32_t)-1 ||
locaAddr == (uint32_t)-1 ||
maxpAddr == (uint32_t)-1 ||
hmtxAddr == (uint32_t)-1 ||
nameAddr == (uint32_t)-1 ||
hheaAddr == (uint32_t)-1)
{
throw "missing table addr";
}
// Load the name table. This gives us display names for the font, which
// we need when we're giving the user a list to choose from.
fseek(fh, nameAddr, SEEK_SET);
uint16_t nameFormat = GetUSHORT();
uint16_t nameCount = GetUSHORT();
uint16_t nameStringOffset = GetUSHORT();
// And now we're at the name records. Go through those till we find
// one that we want.
int displayNameOffset = 0, displayNameLength = 0;
for(i = 0; i < nameCount; i++) {
uint16_t platformID = GetUSHORT();
uint16_t encodingID = GetUSHORT();
uint16_t languageID = GetUSHORT();
uint16_t nameId = GetUSHORT();
uint16_t length = GetUSHORT();
uint16_t offset = GetUSHORT();
if(nameId == 4) {
displayNameOffset = offset;
displayNameLength = length;
break;
}
}
if(nameOnly && i >= nameCount) {
throw "no name";
}
if(nameOnly) {
// Find the display name, and store it in the provided buffer.
fseek(fh, nameAddr+nameStringOffset+displayNameOffset, SEEK_SET);
int c = 0;
for(i = 0; i < displayNameLength; i++) {
uint8_t b = GetBYTE();
if(b && c < ((int)sizeof(name.str) - 2)) {
name.str[c++] = b;
}
}
name.str[c++] = '\0';
fclose(fh);
return true;
}
// Load the head table; we need this to determine the format of the
// loca table, 16- or 32-bit entries
fseek(fh, headAddr, SEEK_SET);
uint32_t headVersion = GetULONG();
uint32_t headFontRevision = GetULONG();
uint32_t headCheckSumAdj = GetULONG();
uint32_t headMagicNumber = GetULONG();
uint16_t headFlags = GetUSHORT();
uint16_t headUnitsPerEm = GetUSHORT();
(void)GetULONG(); // created time
(void)GetULONG();
(void)GetULONG(); // modified time
(void)GetULONG();
uint16_t headXmin = GetUSHORT();
uint16_t headYmin = GetUSHORT();
uint16_t headXmax = GetUSHORT();
uint16_t headYmax = GetUSHORT();
uint16_t headMacStyle = GetUSHORT();
uint16_t headLowestRecPPEM = GetUSHORT();
uint16_t headFontDirectionHint = GetUSHORT();
uint16_t headIndexToLocFormat = GetUSHORT();
uint16_t headGlyphDataFormat = GetUSHORT();
if(headMagicNumber != 0x5F0F3CF5) {
throw "bad magic number";
}
// Load the hhea table, which contains the number of entries in the
// horizontal metrics (hmtx) table.
fseek(fh, hheaAddr, SEEK_SET);
uint32_t hheaVersion = GetULONG();
uint16_t hheaAscender = GetUSHORT();
uint16_t hheaDescender = GetUSHORT();
uint16_t hheaLineGap = GetUSHORT();
uint16_t hheaAdvanceWidthMax = GetUSHORT();
uint16_t hheaMinLsb = GetUSHORT();
uint16_t hheaMinRsb = GetUSHORT();
uint16_t hheaXMaxExtent = GetUSHORT();
uint16_t hheaCaretSlopeRise = GetUSHORT();
uint16_t hheaCaretSlopeRun = GetUSHORT();
uint16_t hheaCaretOffset = GetUSHORT();
(void)GetUSHORT();
(void)GetUSHORT();
(void)GetUSHORT();
(void)GetUSHORT();
uint16_t hheaMetricDataFormat = GetUSHORT();
uint16_t hheaNumberOfMetrics = GetUSHORT();
// Load the maxp table, which determines (among other things) the number
// of glyphs in the font
fseek(fh, maxpAddr, SEEK_SET);
uint32_t maxpVersion = GetULONG();
uint16_t maxpNumGlyphs = GetUSHORT();
uint16_t maxpMaxPoints = GetUSHORT();
uint16_t maxpMaxContours = GetUSHORT();
uint16_t maxpMaxComponentPoints = GetUSHORT();
uint16_t maxpMaxComponentContours = GetUSHORT();
uint16_t maxpMaxZones = GetUSHORT();
uint16_t maxpMaxTwilightPoints = GetUSHORT();
uint16_t maxpMaxStorage = GetUSHORT();
uint16_t maxpMaxFunctionDefs = GetUSHORT();
uint16_t maxpMaxInstructionDefs = GetUSHORT();
uint16_t maxpMaxStackElements = GetUSHORT();
uint16_t maxpMaxSizeOfInstructions = GetUSHORT();
uint16_t maxpMaxComponentElements = GetUSHORT();
uint16_t maxpMaxComponentDepth = GetUSHORT();
glyphs = maxpNumGlyphs;
glyph = (Glyph *)MemAlloc(glyphs*sizeof(glyph[0]));
// Load the hmtx table, which gives the horizontal metrics (spacing
// and advance width) of the font.
fseek(fh, hmtxAddr, SEEK_SET);
uint16_t hmtxAdvanceWidth = 0;
int16_t hmtxLsb = 0;
for(i = 0; i < min(glyphs, (int)hheaNumberOfMetrics); i++) {
hmtxAdvanceWidth = GetUSHORT();
hmtxLsb = (int16_t)GetUSHORT();
glyph[i].leftSideBearing = hmtxLsb;
glyph[i].advanceWidth = hmtxAdvanceWidth;
}
// The last entry in the table applies to all subsequent glyphs also.
for(; i < glyphs; i++) {
glyph[i].leftSideBearing = hmtxLsb;
glyph[i].advanceWidth = hmtxAdvanceWidth;
}
// Load the cmap table, which determines the mapping of characters to
// glyphs.
fseek(fh, cmapAddr, SEEK_SET);
uint32_t usedTableAddr = (uint32_t)-1;
uint16_t cmapVersion = GetUSHORT();
uint16_t cmapTableCount = GetUSHORT();
for(i = 0; i < cmapTableCount; i++) {
uint16_t platformId = GetUSHORT();
uint16_t encodingId = GetUSHORT();
uint32_t offset = GetULONG();
if(platformId == 3 && encodingId == 1) {
// The Windows Unicode mapping is our preference
usedTableAddr = cmapAddr + offset;
}
}
if(usedTableAddr == (uint32_t)-1) {
throw "no used table addr";
}
// So we can load the desired subtable; in this case, Windows Unicode,
// which is us.
fseek(fh, usedTableAddr, SEEK_SET);
uint16_t mapFormat = GetUSHORT();
uint16_t mapLength = GetUSHORT();
uint16_t mapVersion = GetUSHORT();
uint16_t mapSegCountX2 = GetUSHORT();
uint16_t mapSearchRange = GetUSHORT();
uint16_t mapEntrySelector = GetUSHORT();
uint16_t mapRangeShift = GetUSHORT();
if(mapFormat != 4) {
// Required to use format 4 per spec
throw "not format 4";
}
int segCount = mapSegCountX2 / 2;
uint16_t *endChar = (uint16_t *)AllocTemporary(segCount*sizeof(uint16_t));
uint16_t *startChar = (uint16_t *)AllocTemporary(segCount*sizeof(uint16_t));
uint16_t *idDelta = (uint16_t *)AllocTemporary(segCount*sizeof(uint16_t));
uint16_t *idRangeOffset = (uint16_t *)AllocTemporary(segCount*sizeof(uint16_t));
uint32_t *filePos = (uint32_t *)AllocTemporary(segCount*sizeof(uint32_t));
for(i = 0; i < segCount; i++) {
endChar[i] = GetUSHORT();
}
uint16_t mapReservedPad = GetUSHORT();
for(i = 0; i < segCount; i++) {
startChar[i] = GetUSHORT();
}
for(i = 0; i < segCount; i++) {
idDelta[i] = GetUSHORT();
}
for(i = 0; i < segCount; i++) {
filePos[i] = (uint32_t)ftell(fh);
idRangeOffset[i] = GetUSHORT();
}
// So first, null out the glyph table in our in-memory representation
// of the font; any character for which cmap does not provide a glyph
// corresponds to -1
for(i = 0; i < (int)arraylen(useGlyph); i++) {
useGlyph[i] = 0;
}
for(i = 0; i < segCount; i++) {
uint16_t v = idDelta[i];
if(idRangeOffset[i] == 0) {
int j;
for(j = startChar[i]; j <= endChar[i]; j++) {
if(j > 0 && j < (int)arraylen(useGlyph)) {
// Don't create a reference to a glyph that we won't
// store because it's bigger than the table.
if((uint16_t)(j + v) < glyphs) {
// Arithmetic is modulo 2^16
useGlyph[j] = (uint16_t)(j + v);
}
}
}
} else {
int j;
for(j = startChar[i]; j <= endChar[i]; j++) {
if(j > 0 && j < (int)arraylen(useGlyph)) {
int fp = filePos[i];
fp += (j - startChar[i])*sizeof(uint16_t);
fp += idRangeOffset[i];
fseek(fh, fp, SEEK_SET);
useGlyph[j] = GetUSHORT();
}
}
}
}
// Load the loca table. This contains the offsets of each glyph,
// relative to the beginning of the glyf table.
fseek(fh, locaAddr, SEEK_SET);
uint32_t *glyphOffsets = (uint32_t *)AllocTemporary(glyphs*sizeof(uint32_t));
for(i = 0; i < glyphs; i++) {
if(headIndexToLocFormat == 1) {
// long offsets, 32 bits
glyphOffsets[i] = GetULONG();
} else if(headIndexToLocFormat == 0) {
// short offsets, 16 bits but divided by 2
glyphOffsets[i] = GetUSHORT()*2;
} else {
throw "bad headIndexToLocFormat";
}
}
scale = 1024;
// Load the glyf table. This contains the actual representations of the
// letter forms, as piecewise linear or quadratic outlines.
for(i = 0; i < glyphs; i++) {
fseek(fh, glyfAddr + glyphOffsets[i], SEEK_SET);
LoadGlyph(i);
}
} catch (const char *s) {
dbp("ttf: file %s failed: '%s'", fontFile.c_str(), s);
fclose(fh);
return false;
}
fclose(fh);
loaded = true;
return true;
}
void TtfFont::Flush(void) {
lastWas = NOTHING;
}
void TtfFont::Handle(int *dx, int x, int y, bool onCurve) {
x = ((x + *dx)*scale + 512) >> 10;
y = (y*scale + 512) >> 10;
if(lastWas == ON_CURVE && onCurve) {
// This is a line segment.
LineSegment(lastOnCurve.x, lastOnCurve.y, x, y);
} else if(lastWas == ON_CURVE && !onCurve) {
// We can't do the Bezier until we get the next on-curve point,
// but we must store the off-curve point.
} else if(lastWas == OFF_CURVE && onCurve) {
// We are ready to do a Bezier.
Bezier(lastOnCurve.x, lastOnCurve.y,
lastOffCurve.x, lastOffCurve.y,
x, y);
} else if(lastWas == OFF_CURVE && !onCurve) {
// Two consecutive off-curve points implicitly have an on-point
// curve between them, and that should trigger us to generate a
// Bezier.
IntPoint fake;
fake.x = (x + lastOffCurve.x) / 2;
fake.y = (y + lastOffCurve.y) / 2;
Bezier(lastOnCurve.x, lastOnCurve.y,
lastOffCurve.x, lastOffCurve.y,
fake.x, fake.y);
lastOnCurve.x = fake.x;
lastOnCurve.y = fake.y;
}
if(onCurve) {
lastOnCurve.x = x;
lastOnCurve.y = y;
lastWas = ON_CURVE;
} else {
lastOffCurve.x = x;
lastOffCurve.y = y;
lastWas = OFF_CURVE;
}
}
void TtfFont::PlotCharacter(int *dx, int c, double spacing) {
int gli = useGlyph[c];
if(gli < 0 || gli >= glyphs) return;
Glyph *g = &(glyph[gli]);
if(!g->pt) return;
if(c == ' ') {
*dx += g->advanceWidth;
return;
}
int dx0 = *dx;
// A point that has x = xMin should be plotted at (dx0 + lsb); fix up
// our x-position so that the curve-generating code will put stuff
// at the right place.
*dx = dx0 - g->xMin;
*dx += g->leftSideBearing;
int i;
int firstInContour = 0;
for(i = 0; i < g->pts; i++) {
Handle(dx, g->pt[i].x, g->pt[i].y, g->pt[i].onCurve);
if(g->pt[i].lastInContour) {
int f = firstInContour;
Handle(dx, g->pt[f].x, g->pt[f].y, g->pt[f].onCurve);
firstInContour = i + 1;
Flush();
}
}
// And we're done, so advance our position by the requested advance
// width, plus the user-requested extra advance.
*dx = dx0 + g->advanceWidth + (int)(spacing + 0.5);
}
void TtfFont::PlotString(char *str, double spacing,
SBezierList *sbl,
Vector porigin, Vector pu, Vector pv)
{
beziers = sbl;
u = pu;
v = pv;
origin = porigin;
if(!loaded || !str || *str == '\0') {
LineSegment(0, 0, 1024, 0);
LineSegment(1024, 0, 1024, 1024);
LineSegment(1024, 1024, 0, 1024);
LineSegment(0, 1024, 0, 0);
return;
}
int dx = 0;
while(*str) {
PlotCharacter(&dx, *str, spacing);
str++;
}
}
Vector TtfFont::TransformIntPoint(int x, int y) {
Vector r = origin;
r = r.Plus(u.ScaledBy(x / 1024.0));
r = r.Plus(v.ScaledBy(y / 1024.0));
return r;
}
void TtfFont::LineSegment(int x0, int y0, int x1, int y1) {
SBezier sb = SBezier::From(TransformIntPoint(x0, y0),
TransformIntPoint(x1, y1));
beziers->l.Add(&sb);
}
void TtfFont::Bezier(int x0, int y0, int x1, int y1, int x2, int y2) {
SBezier sb = SBezier::From(TransformIntPoint(x0, y0),
TransformIntPoint(x1, y1),
TransformIntPoint(x2, y2));
beziers->l.Add(&sb);
}
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