Advanced SVG decoding

This commit is contained in:
Chlumsky 2023-04-15 17:33:32 +02:00
parent d576034d22
commit 0286aeb6eb
7 changed files with 338 additions and 42 deletions

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@ -77,6 +77,14 @@ endif()
# Version is specified in vcpkg.json
project(msdfgen VERSION ${MSDFGEN_VERSION} LANGUAGES CXX)
if(MAX_WARNING_LEVEL)
if (MSVC)
add_compile_options(/W4)
else()
add_compile_options(-Wall -Wextra -Wpedantic)
endif()
endif()
file(GLOB_RECURSE MSDFGEN_CORE_HEADERS RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} "core/*.h" "core/*.hpp")
file(GLOB_RECURSE MSDFGEN_CORE_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} "core/*.cpp")
file(GLOB_RECURSE MSDFGEN_EXT_HEADERS RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} "ext/*.h" "ext/*.hpp")
@ -178,6 +186,13 @@ if(NOT MSDFGEN_CORE_ONLY)
target_link_libraries(msdfgen-ext PRIVATE Threads::Threads ${MSDFGEN_SKIA_LIB})
endif()
if(BUILD_SHARED_LIBS AND WIN32)
target_compile_definitions(msdfgen-ext PRIVATE "MSDFGEN_EXT_PUBLIC=__declspec(dllexport)")
target_compile_definitions(msdfgen-ext INTERFACE "MSDFGEN_EXT_PUBLIC=__declspec(dllimport)")
else()
target_compile_definitions(msdfgen-ext PUBLIC MSDFGEN_EXT_PUBLIC=)
endif()
add_library(msdfgen-full INTERFACE)
add_library(msdfgen::msdfgen ALIAS msdfgen-full)
target_link_libraries(msdfgen-full INTERFACE msdfgen::msdfgen-core msdfgen::msdfgen-ext)

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@ -19,8 +19,8 @@ namespace msdfgen {
#define CLASSIFIER_FLAG_CANDIDATE 0x01
#define CLASSIFIER_FLAG_ARTIFACT 0x02
const double ErrorCorrectionConfig::defaultMinDeviationRatio = 1.11111111111111111;
const double ErrorCorrectionConfig::defaultMinImproveRatio = 1.11111111111111111;
MSDFGEN_PUBLIC const double ErrorCorrectionConfig::defaultMinDeviationRatio = 1.11111111111111111;
MSDFGEN_PUBLIC const double ErrorCorrectionConfig::defaultMinImproveRatio = 1.11111111111111111;
/// The base artifact classifier recognizes artifacts based on the contents of the SDF alone.
class BaseArtifactClassifier {

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@ -5,8 +5,17 @@
#ifndef MSDFGEN_DISABLE_SVG
#include <cstdlib>
#include <cstdio>
#include <cstring>
#include <tinyxml2.h>
#ifdef MSDFGEN_USE_SKIA
#include <skia/core/SkPath.h>
#include <skia/utils/SkParsePath.h>
#include <skia/pathops/SkPathOps.h>
#endif
#include "../core/arithmetics.hpp"
#define ARC_SEGMENTS_PER_PI 2
@ -20,6 +29,13 @@ namespace msdfgen {
#define REQUIRE(cond) { if (!(cond)) return false; }
#endif
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_FAILURE = 0x00;
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_SUCCESS_FLAG = 0x01;
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_PARTIAL_FAILURE_FLAG = 0x02;
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_INCOMPLETE_FLAG = 0x04;
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG = 0x08;
MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_TRANSFORMATION_IGNORED_FLAG = 0x10;
static void skipExtraChars(const char *&pathDef) {
while (*pathDef == ',' || *pathDef == ' ' || *pathDef == '\t' || *pathDef == '\r' || *pathDef == '\n')
++pathDef;
@ -131,6 +147,46 @@ static void addArcApproximate(Contour &contour, Point2 startPoint, Point2 endPoi
}
}
#define FLAGS_FINAL(flags) (((flags)&(SVG_IMPORT_SUCCESS_FLAG|SVG_IMPORT_INCOMPLETE_FLAG|SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG)) == (SVG_IMPORT_SUCCESS_FLAG|SVG_IMPORT_INCOMPLETE_FLAG|SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG))
static void findPathByForwardIndex(tinyxml2::XMLElement *&path, int &flags, int &skips, tinyxml2::XMLElement *parent, bool hasTransformation) {
for (tinyxml2::XMLElement *cur = parent->FirstChildElement(); cur && !FLAGS_FINAL(flags); cur = cur->NextSiblingElement()) {
if (!strcmp(cur->Name(), "path")) {
if (!skips--) {
path = cur;
flags |= SVG_IMPORT_SUCCESS_FLAG;
if (hasTransformation || cur->Attribute("transform"))
flags |= SVG_IMPORT_TRANSFORMATION_IGNORED_FLAG;
} else if (flags&SVG_IMPORT_SUCCESS_FLAG)
flags |= SVG_IMPORT_INCOMPLETE_FLAG;
} else if (!strcmp(cur->Name(), "g"))
findPathByForwardIndex(path, flags, skips, cur, hasTransformation || cur->Attribute("transform"));
else if (!strcmp(cur->Name(), "rect") || !strcmp(cur->Name(), "circle") || !strcmp(cur->Name(), "ellipse") || !strcmp(cur->Name(), "polygon"))
flags |= SVG_IMPORT_INCOMPLETE_FLAG;
else if (!strcmp(cur->Name(), "mask") || !strcmp(cur->Name(), "use"))
flags |= SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG;
}
}
static void findPathByBackwardIndex(tinyxml2::XMLElement *&path, int &flags, int &skips, tinyxml2::XMLElement *parent, bool hasTransformation) {
for (tinyxml2::XMLElement *cur = parent->LastChildElement(); cur && !FLAGS_FINAL(flags); cur = cur->PreviousSiblingElement()) {
if (!strcmp(cur->Name(), "path")) {
if (!skips--) {
path = cur;
flags |= SVG_IMPORT_SUCCESS_FLAG;
if (hasTransformation || cur->Attribute("transform"))
flags |= SVG_IMPORT_TRANSFORMATION_IGNORED_FLAG;
} else if (flags&SVG_IMPORT_SUCCESS_FLAG)
flags |= SVG_IMPORT_INCOMPLETE_FLAG;
} else if (!strcmp(cur->Name(), "g"))
findPathByBackwardIndex(path, flags, skips, cur, hasTransformation || cur->Attribute("transform"));
else if (!strcmp(cur->Name(), "rect") || !strcmp(cur->Name(), "circle") || !strcmp(cur->Name(), "ellipse") || !strcmp(cur->Name(), "polygon"))
flags |= SVG_IMPORT_INCOMPLETE_FLAG;
else if (!strcmp(cur->Name(), "mask") || !strcmp(cur->Name(), "use"))
flags |= SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG;
}
}
bool buildShapeFromSvgPath(Shape &shape, const char *pathDef, double endpointSnapRange) {
char nodeType = '\0';
char prevNodeType = '\0';
@ -270,45 +326,237 @@ bool loadSvgShape(Shape &output, const char *filename, int pathIndex, Vector2 *d
return false;
tinyxml2::XMLElement *path = NULL;
if (pathIndex > 0) {
path = root->FirstChildElement("path");
if (!path) {
tinyxml2::XMLElement *g = root->FirstChildElement("g");
if (g)
path = g->FirstChildElement("path");
}
while (path && --pathIndex > 0)
path = path->NextSiblingElement("path");
} else {
path = root->LastChildElement("path");
if (!path) {
tinyxml2::XMLElement *g = root->LastChildElement("g");
if (g)
path = g->LastChildElement("path");
}
while (path && ++pathIndex < 0)
path = path->PreviousSiblingElement("path");
}
int flags = 0;
int skippedPaths = abs(pathIndex)-(pathIndex != 0);
if (pathIndex > 0)
findPathByForwardIndex(path, flags, skippedPaths, root, false);
else
findPathByBackwardIndex(path, flags, skippedPaths, root, false);
if (!path)
return false;
const char *pd = path->Attribute("d");
if (!pd)
return false;
output.contours.clear();
output.inverseYAxis = true;
Vector2 dims(root->DoubleAttribute("width"), root->DoubleAttribute("height"));
if (!dims) {
double left, top;
const char *viewBox = root->Attribute("viewBox");
if (viewBox)
sscanf(viewBox, "%lf %lf %lf %lf", &left, &top, &dims.x, &dims.y);
}
double left, top;
const char *viewBox = root->Attribute("viewBox");
if (viewBox)
sscanf(viewBox, "%lf %lf %lf %lf", &left, &top, &dims.x, &dims.y);
if (dimensions)
*dimensions = dims;
output.contours.clear();
output.inverseYAxis = true;
return buildShapeFromSvgPath(output, pd, ENDPOINT_SNAP_RANGE_PROPORTION*dims.length());
}
#ifndef MSDFGEN_USE_SKIA
int loadSvgShape(Shape &output, Shape::Bounds &viewBox, const char *filename) {
tinyxml2::XMLDocument doc;
if (doc.LoadFile(filename))
return SVG_IMPORT_FAILURE;
tinyxml2::XMLElement *root = doc.FirstChildElement("svg");
if (!root)
return SVG_IMPORT_FAILURE;
tinyxml2::XMLElement *path = NULL;
int flags = 0;
int skippedPaths = 0;
findPathByBackwardIndex(path, flags, skippedPaths, root, false);
if (!(path && (flags&SVG_IMPORT_SUCCESS_FLAG)))
return SVG_IMPORT_FAILURE;
const char *pd = path->Attribute("d");
if (!pd)
return SVG_IMPORT_FAILURE;
viewBox.l = 0, viewBox.b = 0;
Vector2 dims(root->DoubleAttribute("width"), root->DoubleAttribute("height"));
const char *viewBoxStr = root->Attribute("viewBox");
if (viewBoxStr)
sscanf(viewBoxStr, "%lf %lf %lf %lf", &viewBox.l, &viewBox.b, &dims.x, &dims.y);
viewBox.r = viewBox.l+dims.x;
viewBox.t = viewBox.b+dims.y;
output.contours.clear();
output.inverseYAxis = true;
if (!buildShapeFromSvgPath(output, pd, ENDPOINT_SNAP_RANGE_PROPORTION*dims.length()))
return SVG_IMPORT_FAILURE;
return flags;
}
#else
void shapeFromSkiaPath(Shape &shape, const SkPath &skPath); // defined in resolve-shape-geometry.cpp
static bool readTransformationOp(SkScalar dst[6], int &count, const char *&str, const char *name) {
int nameLen = int(strlen(name));
if (!memcmp(str, name, nameLen)) {
const char *curStr = str+nameLen;
skipExtraChars(curStr);
if (*curStr == '(') {
skipExtraChars(++curStr);
count = 0;
while (*curStr && *curStr != ')') {
double x;
if (!(count < 6 && readDouble(x, curStr)))
return false;
dst[count++] = SkScalar(x);
skipExtraChars(curStr);
}
if (*curStr == ')') {
str = curStr+1;
return true;
}
}
}
return false;
}
static SkMatrix parseTransformation(int &flags, const char *str) {
SkMatrix transformation;
skipExtraChars(str);
while (*str) {
SkScalar values[6];
int count;
SkMatrix partial;
if (readTransformationOp(values, count, str, "matrix") && count == 6) {
partial.setAll(values[0], values[2], values[4], values[1], values[3], values[5], SkScalar(0), SkScalar(0), SkScalar(1));
} else if (readTransformationOp(values, count, str, "translate") && (count == 1 || count == 2)) {
if (count == 1)
values[1] = SkScalar(0);
partial.setTranslate(values[0], values[1]);
} else if (readTransformationOp(values, count, str, "scale") && (count == 1 || count == 2)) {
if (count == 1)
values[1] = values[0];
partial.setScale(values[0], values[1]);
} else if (readTransformationOp(values, count, str, "rotate") && (count == 1 || count == 3)) {
if (count == 3)
partial.setRotate(values[0], values[1], values[2]);
else
partial.setRotate(values[0]);
} else if (readTransformationOp(values, count, str, "skewX") && count == 1) {
partial.setSkewX(SkScalar(tan(M_PI/180*values[0])));
} else if (readTransformationOp(values, count, str, "skewY") && count == 1) {
partial.setSkewY(SkScalar(tan(M_PI/180*values[0])));
} else {
flags |= SVG_IMPORT_PARTIAL_FAILURE_FLAG;
break;
}
transformation = transformation*partial;
skipExtraChars(str);
}
return transformation;
}
static SkMatrix combineTransformation(int &flags, const SkMatrix &parentTransformation, const char *transformationString, const char *transformationOriginString) {
if (transformationString) {
SkMatrix transformation = parseTransformation(flags, transformationString);
if (transformationOriginString) {
Point2 origin;
if (readCoord(origin, transformationOriginString))
transformation = SkMatrix::Translate(SkScalar(origin.x), SkScalar(origin.y))*transformation*SkMatrix::Translate(SkScalar(-origin.x), SkScalar(-origin.y));
else
flags |= SVG_IMPORT_PARTIAL_FAILURE_FLAG;
}
return parentTransformation*transformation;
}
return parentTransformation;
}
static void gatherPaths(SkPath &fullPath, int &flags, tinyxml2::XMLElement *parent, const SkMatrix &transformation) {
for (tinyxml2::XMLElement *cur = parent->FirstChildElement(); cur && !FLAGS_FINAL(flags); cur = cur->NextSiblingElement()) {
if (!strcmp(cur->Name(), "g"))
gatherPaths(fullPath, flags, cur, combineTransformation(flags, transformation, cur->Attribute("transform"), cur->Attribute("transform-origin")));
else if (!strcmp(cur->Name(), "mask") || !strcmp(cur->Name(), "use"))
flags |= SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG;
else {
SkPath curPath;
if (!strcmp(cur->Name(), "path")) {
const char *pd = cur->Attribute("d");
if (!(pd && SkParsePath::FromSVGString(pd, &curPath))) {
flags |= SVG_IMPORT_PARTIAL_FAILURE_FLAG;
continue;
}
} else if (!strcmp(cur->Name(), "rect")) {
SkScalar x = SkScalar(cur->DoubleAttribute("x")), y = SkScalar(cur->DoubleAttribute("y"));
SkScalar width = SkScalar(cur->DoubleAttribute("width")), height = SkScalar(cur->DoubleAttribute("height"));
SkScalar rx = SkScalar(cur->DoubleAttribute("rx")), ry = SkScalar(cur->DoubleAttribute("ry"));
if (!(width && height))
continue;
SkRect rect = SkRect::MakeLTRB(x, y, x+width, y+height);
if (rx || ry) {
SkScalar radii[] = { rx, ry, rx, ry, rx, ry, rx, ry };
curPath.addRoundRect(rect, radii);
} else
curPath.addRect(rect);
} else if (!strcmp(cur->Name(), "circle")) {
SkScalar cx = SkScalar(cur->DoubleAttribute("cx")), cy = SkScalar(cur->DoubleAttribute("cy"));
SkScalar r = SkScalar(cur->DoubleAttribute("r"));
if (!r)
continue;
curPath.addCircle(cx, cy, r);
} else if (!strcmp(cur->Name(), "ellipse")) {
SkScalar cx = SkScalar(cur->DoubleAttribute("cx")), cy = SkScalar(cur->DoubleAttribute("cy"));
SkScalar rx = SkScalar(cur->DoubleAttribute("rx")), ry = SkScalar(cur->DoubleAttribute("ry"));
if (!(rx && ry))
continue;
curPath.addOval(SkRect::MakeLTRB(cx-rx, cy-ry, cx+rx, cy+ry));
} else if (!strcmp(cur->Name(), "polygon")) {
const char *pd = cur->Attribute("points");
if (!pd) {
flags |= SVG_IMPORT_PARTIAL_FAILURE_FLAG;
continue;
}
Point2 point;
if (!readCoord(point, pd))
continue;
curPath.moveTo(SkScalar(point.x), SkScalar(point.y));
if (!readCoord(point, pd))
continue;
do {
curPath.lineTo(SkScalar(point.x), SkScalar(point.y));
} while (readCoord(point, pd));
curPath.close();
} else
continue;
curPath.transform(combineTransformation(flags, transformation, cur->Attribute("transform"), cur->Attribute("transform-origin")));
if (Op(fullPath, curPath, kUnion_SkPathOp, &fullPath))
flags |= SVG_IMPORT_SUCCESS_FLAG;
else
flags |= SVG_IMPORT_PARTIAL_FAILURE_FLAG;
}
}
}
int loadSvgShape(Shape &output, Shape::Bounds &viewBox, const char *filename) {
tinyxml2::XMLDocument doc;
if (doc.LoadFile(filename))
return SVG_IMPORT_FAILURE;
tinyxml2::XMLElement *root = doc.FirstChildElement("svg");
if (!root)
return SVG_IMPORT_FAILURE;
SkPath fullPath;
int flags = 0;
gatherPaths(fullPath, flags, root, SkMatrix());
if (!((flags&SVG_IMPORT_SUCCESS_FLAG) && Simplify(fullPath, &fullPath)))
return SVG_IMPORT_FAILURE;
shapeFromSkiaPath(output, fullPath);
output.inverseYAxis = true;
output.orientContours();
viewBox.l = 0, viewBox.b = 0;
Vector2 dims(root->DoubleAttribute("width"), root->DoubleAttribute("height"));
const char *viewBoxStr = root->Attribute("viewBox");
if (viewBoxStr)
sscanf(viewBoxStr, "%lf %lf %lf %lf", &viewBox.l, &viewBox.b, &dims.x, &dims.y);
viewBox.r = viewBox.l+dims.x;
viewBox.t = viewBox.b+dims.y;
return flags;
}
#endif
}
#endif

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@ -6,14 +6,28 @@
#ifndef MSDFGEN_DISABLE_SVG
#ifndef MSDFGEN_EXT_PUBLIC
#define MSDFGEN_EXT_PUBLIC // for DLL import/export
#endif
namespace msdfgen {
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_FAILURE;
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_SUCCESS_FLAG;
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_PARTIAL_FAILURE_FLAG;
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_INCOMPLETE_FLAG;
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG;
extern MSDFGEN_EXT_PUBLIC const int SVG_IMPORT_TRANSFORMATION_IGNORED_FLAG;
/// Builds a shape from an SVG path string
bool buildShapeFromSvgPath(Shape &shape, const char *pathDef, double endpointSnapRange = 0);
/// Reads the first path found in the specified SVG file and stores it as a Shape in output.
/// Reads a single <path> element found in the specified SVG file and converts it to output Shape
bool loadSvgShape(Shape &output, const char *filename, int pathIndex = 0, Vector2 *dimensions = NULL);
/// New version - if Skia is available, reads the entire geometry of the SVG file into the output Shape, otherwise may only read one path, returns SVG import flags
int loadSvgShape(Shape &output, Shape::Bounds &viewBox, const char *filename);
}
#endif

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@ -55,7 +55,17 @@ void shapeFromSkiaPath(Shape &shape, const SkPath &skPath) {
case SkPath::kCubic_Verb:
contour->addEdge(new CubicSegment(pointFromSkiaPoint(edgePoints[0]), pointFromSkiaPoint(edgePoints[1]), pointFromSkiaPoint(edgePoints[2]), pointFromSkiaPoint(edgePoints[3])));
break;
default:;
case SkPath::kConic_Verb:
{
SkPoint quadPoints[5];
SkPath::ConvertConicToQuads(edgePoints[0], edgePoints[1], edgePoints[2], pathIterator.conicWeight(), quadPoints, 1);
contour->addEdge(new QuadraticSegment(pointFromSkiaPoint(quadPoints[0]), pointFromSkiaPoint(quadPoints[1]), pointFromSkiaPoint(quadPoints[2])));
contour->addEdge(new QuadraticSegment(pointFromSkiaPoint(quadPoints[2]), pointFromSkiaPoint(quadPoints[3]), pointFromSkiaPoint(quadPoints[4])));
}
break;
case SkPath::kClose_Verb:
case SkPath::kDone_Verb:
break;
}
}
if (contour->edges.empty())

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@ -1,4 +1,5 @@
#define _CRT_SECURE_NO_WARNINGS
#include "save-png.h"
#include <cstdio>

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@ -532,7 +532,6 @@ int main(int argc, const char * const *argv) {
bool glyphIndexSpecified = false;
GlyphIndex glyphIndex;
unicode_t unicode = 0;
int svgPathIndex = 0;
#endif
int width = 64, height = 64;
@ -947,7 +946,7 @@ int main(int argc, const char * const *argv) {
fprintf(stderr, "Use -help for more information.\n");
// Load input
Vector2 svgDims;
Shape::Bounds svgViewBox = { };
double glyphAdvance = 0;
if (!inputType || !input) {
#ifdef MSDFGEN_EXTENSIONS
@ -966,8 +965,17 @@ int main(int argc, const char * const *argv) {
switch (inputType) {
#if defined(MSDFGEN_EXTENSIONS) && !defined(MSDFGEN_DISABLE_SVG)
case SVG: {
if (!loadSvgShape(shape, input, svgPathIndex, &svgDims))
int svgImportFlags = loadSvgShape(shape, svgViewBox, input);
if (!(svgImportFlags&SVG_IMPORT_SUCCESS_FLAG))
ABORT("Failed to load shape from SVG file.");
if (svgImportFlags&SVG_IMPORT_PARTIAL_FAILURE_FLAG)
fputs("Warning: Failed to load part of SVG file.\n", stderr);
if (svgImportFlags&SVG_IMPORT_INCOMPLETE_FLAG)
fputs("Warning: SVG file contains multiple paths or shapes but this version is only able to load one.\n", stderr);
else if (svgImportFlags&SVG_IMPORT_UNSUPPORTED_FEATURE_FLAG)
fputs("Warning: SVG file likely contains elements that are unsupported.\n", stderr);
if (svgImportFlags&SVG_IMPORT_TRANSFORMATION_IGNORED_FLAG)
fputs("Warning: SVG path transformation ignored.\n", stderr);
break;
}
#endif
@ -1096,19 +1104,19 @@ int main(int argc, const char * const *argv) {
ABORT("Failed to write output file.");
if (shape.inverseYAxis)
fprintf(out, "inverseY = true\n");
if (bounds.r >= bounds.l && bounds.t >= bounds.b)
fprintf(out, "bounds = %.12g, %.12g, %.12g, %.12g\n", bounds.l, bounds.b, bounds.r, bounds.t);
if (svgDims.x != 0 && svgDims.y != 0)
fprintf(out, "dimensions = %.12g, %.12g\n", svgDims.x, svgDims.y);
if (svgViewBox.l < svgViewBox.r && svgViewBox.b < svgViewBox.t)
fprintf(out, "view box = %.17g, %.17g, %.17g, %.17g\n", svgViewBox.l, svgViewBox.b, svgViewBox.r, svgViewBox.t);
if (bounds.l < bounds.r && bounds.b < bounds.t)
fprintf(out, "bounds = %.17g, %.17g, %.17g, %.17g\n", bounds.l, bounds.b, bounds.r, bounds.t);
if (glyphAdvance != 0)
fprintf(out, "advance = %.12g\n", glyphAdvance);
fprintf(out, "advance = %.17g\n", glyphAdvance);
if (autoFrame) {
if (!scaleSpecified)
fprintf(out, "scale = %.12g\n", avgScale);
fprintf(out, "translate = %.12g, %.12g\n", translate.x, translate.y);
fprintf(out, "scale = %.17g\n", avgScale);
fprintf(out, "translate = %.17g, %.17g\n", translate.x, translate.y);
}
if (rangeMode == RANGE_PX)
fprintf(out, "range = %.12g\n", range);
fprintf(out, "range = %.17g\n", range);
if (mode == METRICS && outputSpecified)
fclose(out);
}