extendr_api/graphics/mod.rs
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// ## Resources for Developers
//
// Graphic device is documented in the R-internals. The header file also
// contains the useful information. The code of the graphics package is also useful to
// see what values are used by default (i.e. `GInit`).
//
// - https://cran.r-project.org/doc/manuals/r-devel/R-ints.html
// - https://github.com/wch/r-source/blob/trunk/src/include/R_ext/GraphicsDevice.h
// - https://github.com/wch/r-source/blob/trunk/src/library/graphics/src/graphics.c
//
// While the documents are good, we need to refer to the real implementaions to
// find hints.
//
// - postscript device: https://github.com/wch/r-source/blob/trunk/src/library/grDevices/src/devPS.c
// - svglite package: https://github.com/r-lib/svglite/blob/main/src/devSVG.cpp
// - devout package: https://github.com/coolbutuseless/devout/blob/master/src/rdevice.cpp
//
// For newer features, the blog posts by Paul Murrell might be helpful:
//
// - https://developer.r-project.org/Blog/public/2020/07/15/new-features-in-the-r-graphics-engine/index.html
// - https://developer.r-project.org/Blog/public/2021/12/06/groups-and-paths-and-masks-in-r-graphics/index.html
// - https://developer.r-project.org/Blog/public/2021/12/14/updating-graphics-devices-for-r-4.2.0/index.html
//! Graphic Device Operations
//!
//! ## Control an existing graphic device
//!
//! TODO
//!
//! ## Implement a new graphic device
//!
//! The following two things are needed to implement a graphic device.
//!
//! - [DeviceDriver] trait: the actual implementation of graphic device methods.
//! - [DeviceDescriptor] struct: the parameters that might differ per device
//! instance (e.g. sizes, and colors).
//!
//! For example, the following code implements a simple graphic device that shows a message when it's
//! activated (and ignores everything else).
//!
//! ```
//! use extendr_api::{
//! graphics::{DeviceDescriptor, DeviceDriver, DevDesc},
//! prelude::*,
//! };
//!
//! struct MyDevice<'a> {
//! welcome_message: &'a str,
//! }
//!
//! impl<'a> DeviceDriver for MyDevice<'a> {
//! fn activate(&mut self, _dd: DevDesc) {
//! let welcome_message = self.welcome_message;
//! rprintln!("message from device: {welcome_message}");
//! }
//! }
//!
//! /// Create a new device.
//! ///
//! /// @export
//! #[extendr]
//! fn my_device(welcome_message: String) {
//! let device_driver = MyDevice {
//! welcome_message: welcome_message.as_str(),
//! };
//!
//! let device_descriptor = DeviceDescriptor::new();
//! let device = device_driver.create_device::<MyDevice>(device_descriptor, "my device");
//! }
//! ```
//!
//! This can be called from R.
//!
//! ```r
//! my_device("I'm so active!!!")
//! #> message from device: I'm so active!!!
//! ```
use crate::*;
use libR_sys::*;
// These are used in the callback functions.
pub use libR_sys::{DevDesc, R_GE_gcontext};
pub mod color;
pub mod device_descriptor;
pub mod device_driver;
use color::Color;
pub use device_descriptor::*;
pub use device_driver::*;
pub struct Context {
context: R_GE_gcontext,
xscale: (f64, f64),
yscale: (f64, f64),
offset: (f64, f64),
scalar: f64,
}
#[derive(Clone, Debug, PartialEq)]
pub struct Device {
inner: pGEDevDesc,
}
#[derive(Clone, Debug, PartialEq)]
pub struct Pattern {
inner: Robj,
}
#[derive(Clone, Debug, PartialEq)]
pub struct TextMetric {
pub ascent: f64,
pub descent: f64,
pub width: f64,
}
/// A row-major array of pixels. One pixel is 32-bit, whose each byte represents
/// alpha, blue, green, and red in the order.
#[derive(Clone, Debug, PartialEq)]
pub struct Raster<P: AsRef<[u32]>> {
pub pixels: P,
pub width: usize,
}
impl Device {
pub(crate) fn inner(&self) -> pGEDevDesc {
self.inner
}
// pub(crate) fn asref(&self) -> &GEDevDesc {
// unsafe { &*self.inner }
// }
// pub(crate) fn dev(&self) -> &DevDesc {
// unsafe { &*self.asref().dev }
// }
}
#[derive(PartialEq, Debug, Clone)]
pub enum LineEnd {
Round,
Butt,
Square,
}
#[derive(PartialEq, Debug, Clone)]
pub enum LineJoin {
Round,
Mitre,
Bevel,
}
#[derive(PartialEq, Debug, Clone)]
pub enum LineType {
Blank,
Solid,
Dashed,
Dotted,
DotDash,
LongDash,
TwoDash,
}
#[derive(PartialEq, Debug, Clone)]
pub enum Unit {
Device,
Normalized,
Inches,
CM,
}
#[derive(PartialEq, Debug, Clone)]
pub enum FontFace {
Plain,
Bold,
Italic,
BoldItalic,
Symbol,
}
impl From<LineEnd> for R_GE_lineend {
fn from(value: LineEnd) -> Self {
match value {
LineEnd::Round => Self::GE_ROUND_CAP,
LineEnd::Butt => Self::GE_BUTT_CAP,
LineEnd::Square => Self::GE_SQUARE_CAP,
}
}
}
impl From<LineJoin> for R_GE_linejoin {
fn from(value: LineJoin) -> Self {
match value {
LineJoin::Round => Self::GE_ROUND_JOIN,
LineJoin::Mitre => Self::GE_MITRE_JOIN,
LineJoin::Bevel => Self::GE_BEVEL_JOIN,
}
}
}
impl LineType {
fn to_i32(&self) -> i32 {
match self {
Self::Blank => LTY_BLANK as _,
Self::Solid => LTY_SOLID as _,
Self::Dashed => LTY_DASHED as _,
Self::Dotted => LTY_DOTTED as _,
Self::DotDash => LTY_DOTDASH as _,
Self::LongDash => LTY_LONGDASH as _,
Self::TwoDash => LTY_TWODASH as _,
}
}
}
impl FontFace {
fn to_i32(&self) -> i32 {
match self {
Self::Plain => 1,
Self::Bold => 2,
Self::Italic => 3,
Self::BoldItalic => 4,
Self::Symbol => 5,
}
}
}
fn unit_to_ge(unit: Unit) -> GEUnit {
match unit {
Unit::Device => GEUnit::GE_DEVICE,
Unit::Normalized => GEUnit::GE_NDC,
Unit::Inches => GEUnit::GE_INCHES,
Unit::CM => GEUnit::GE_CM,
}
}
impl Context {
pub fn from_device(dev: &Device, unit: Unit) -> Self {
#[allow(unused_unsafe)]
unsafe {
let offset = dev.to_device_coords((0., 0.), unit.clone());
let mut xscale = dev.to_device_coords((1., 0.), unit.clone());
let mut yscale = dev.to_device_coords((0., 1.), unit);
xscale.0 -= offset.0;
xscale.1 -= offset.1;
yscale.0 -= offset.0;
yscale.1 -= offset.1;
// sqrt(abs(det(m)))
let scalar = (xscale.0 * yscale.1 - xscale.1 * yscale.0).abs().sqrt();
let mut context = R_GE_gcontext {
col: Color::rgb(0xff, 0xff, 0xff).to_i32(),
fill: Color::rgb(0xc0, 0xc0, 0xc0).to_i32(),
gamma: 1.0,
lwd: 1.0,
lty: 0,
lend: R_GE_lineend::GE_ROUND_CAP,
ljoin: R_GE_linejoin::GE_ROUND_JOIN,
lmitre: 10.0,
cex: 1.0,
ps: 14.0,
lineheight: 1.0,
fontface: 1,
fontfamily: [0; 201],
#[cfg(use_r_ge_version_14)]
patternFill: R_NilValue,
};
context
.fontfamily
.iter_mut()
.zip(b"Helvetica".iter())
.for_each(|(d, s)| *d = *s as i8);
Self {
context,
xscale,
yscale,
offset,
scalar,
}
}
}
/// Set the line or text color of a primitive.
pub fn color(&mut self, col: Color) -> &mut Self {
self.context.col = col.to_i32();
self
}
/// Set the fill color of a primitive.
pub fn fill(&mut self, fill: Color) -> &mut Self {
self.context.fill = fill.to_i32();
self
}
/// Set the gamma of the device. `out_color = in_color ** gamma`
pub fn gamma(&mut self, gamma: f64) -> &mut Self {
self.context.gamma = gamma;
self
}
/// Set the width of the line in chosen units.
pub fn line_width(&mut self, lwd: f64) -> &mut Self {
self.context.lwd = (lwd * self.scalar).max(1.0);
self
}
/// Set the type of the line.
/// ```ignore
/// Blank => <invisible>
/// Solid => ------
/// Dashed => - - - -
/// Dotted => . . . .
/// DotDash => . - . -
/// LongDash => -- --
/// TwoDash => . . - -
/// ```
pub fn line_type(&mut self, lty: LineType) -> &mut Self {
self.context.lty = lty.to_i32();
self
}
/// Set the line end type.
/// ```ignore
/// LineEnd::RoundCap
/// LineEnd::ButtCap
/// LineEnd::SquareCap
/// ```
pub fn line_end(&mut self, lend: LineEnd) -> &mut Self {
self.context.lend = lend.into();
self
}
/// Set the line join type.
/// ```ignore
/// LineJoin::RoundJoin
/// LineJoin::MitreJoin
/// LineJoin::BevelJoin
/// ```
pub fn line_join(&mut self, ljoin: LineJoin) -> &mut Self {
self.context.ljoin = ljoin.into();
self
}
pub fn point_size(&mut self, ps: f64) -> &mut Self {
self.context.ps = ps;
self
}
/// Set the line miter limit - the point where the line becomes a bevel join.
pub fn line_mitre(&mut self, lmitre: f64) -> &mut Self {
self.context.lmitre = lmitre * self.scalar;
self
}
/// Set the line height for text.
pub fn line_height(&mut self, lineheight: f64) -> &mut Self {
self.context.lineheight = lineheight;
self
}
// pub fn char_extra_size(&mut self, cex: f64) -> &mut Self {
// self.context.cex = cex;
// self
// }
/// Set the font face.
/// ```ignore
/// FontFace::PlainFont
/// FontFace::BoldFont
/// FontFace::ItalicFont
/// FontFace::BoldItalicFont
/// FontFace::SymbolFont
/// ```
pub fn font_face(&mut self, fontface: FontFace) -> &mut Self {
self.context.fontface = fontface.to_i32();
self
}
//
pub fn font_family(&mut self, fontfamily: &str) -> &mut Self {
let maxlen = self.context.fontfamily.len() - 1;
for c in self.context.fontfamily.iter_mut() {
*c = 0;
}
for (i, b) in fontfamily.bytes().enumerate().take(maxlen) {
self.context.fontfamily[i] = b as std::os::raw::c_char;
}
self
}
/// Set the transform as a 3x2 matrix.
pub fn transform(
&mut self,
xscale: (f64, f64),
yscale: (f64, f64),
offset: (f64, f64),
) -> &mut Self {
self.xscale = xscale;
self.yscale = yscale;
self.offset = offset;
self
}
pub(crate) fn context(&self) -> pGEcontext {
unsafe { std::mem::transmute(&self.context) }
}
// Affine transform.
pub(crate) fn t(&self, xy: (f64, f64)) -> (f64, f64) {
(
self.offset.0 + xy.0 * self.xscale.0 + xy.1 * self.yscale.0,
self.offset.1 + xy.0 * self.xscale.1 + xy.1 * self.yscale.1,
)
}
// Affine relative transform (width, height).
pub(crate) fn trel(&self, wh: (f64, f64)) -> (f64, f64) {
(
wh.0 * self.xscale.0 + wh.1 * self.yscale.0,
wh.0 * self.xscale.1 + wh.1 * self.yscale.1,
)
}
// Scalar transform (eg. radius etc).
pub(crate) fn ts(&self, value: f64) -> f64 {
value * self.scalar
}
// Inverse scalar transform (eg. text width etc).
pub(crate) fn its(&self, value: f64) -> f64 {
value / self.scalar
}
pub(crate) fn tmetric(&self, tm: TextMetric) -> TextMetric {
TextMetric {
ascent: tm.ascent / self.scalar,
descent: tm.descent / self.scalar,
width: tm.width / self.scalar,
}
}
}
#[allow(non_snake_case)]
impl Device {
/// Get the current device.
pub fn current() -> Result<Device> {
// At present we can't trap an R error from a function
// that does not return a SEXP.
unsafe {
Ok(Device {
inner: GEcurrentDevice(),
})
}
}
/// Enable device rendering.
pub fn mode_on(&self) -> Result<()> {
unsafe {
if Rf_NoDevices() != 0 {
Err(Error::NoGraphicsDevices(Robj::from(())))
} else {
GEMode(1, self.inner());
Ok(())
}
}
}
/// Disable device rendering and flush.
pub fn mode_off(&self) -> Result<()> {
unsafe {
if Rf_NoDevices() != 0 {
Err(Error::NoGraphicsDevices(Robj::from(())))
} else {
GEMode(0, self.inner());
Ok(())
}
}
}
/// Get the device number for this device.
pub fn device_number(&self) -> i32 {
unsafe { GEdeviceNumber(self.inner()) }
}
/// Get a device by number.
pub fn get_device(number: i32) -> Result<Device> {
unsafe {
if number < 0 || number >= Rf_NumDevices() {
Err(Error::NoGraphicsDevices(Robj::from(())))
} else {
Ok(Device {
inner: GEgetDevice(number),
})
}
}
}
/// Convert device coordinates into a specified unit.
/// This is usually done by the API.
pub fn from_device_coords(&self, value: (f64, f64), from: Unit) -> (f64, f64) {
let from = unit_to_ge(from);
unsafe {
(
GEfromDeviceX(value.0, from, self.inner()),
GEfromDeviceY(value.1, from, self.inner()),
)
}
}
/// Convert a specified unit coordinates into device coordinates.
/// This is usually done by the API.
pub fn to_device_coords(&self, value: (f64, f64), to: Unit) -> (f64, f64) {
if to == Unit::Device {
value
} else {
let to = unit_to_ge(to);
unsafe {
(
GEtoDeviceX(value.0, to, self.inner()),
GEtoDeviceY(value.1, to, self.inner()),
)
}
}
}
/// Convert device width/height coordinates into a specified unit.
/// This is usually done by the API.
pub fn from_device_wh(&self, value: (f64, f64), from: Unit) -> (f64, f64) {
let from = unit_to_ge(from);
unsafe {
(
GEfromDeviceWidth(value.0, from, self.inner()),
GEfromDeviceHeight(value.1, from, self.inner()),
)
}
}
/// Convert a specified unit width/height coordinates into device coordinates.
/// This is usually done by the API.
pub fn to_device_wh(&self, value: (f64, f64), to: Unit) -> (f64, f64) {
let to = unit_to_ge(to);
unsafe {
(
GEtoDeviceWidth(value.0, to, self.inner()),
GEtoDeviceHeight(value.1, to, self.inner()),
)
}
}
/// Start a new page. The page color can be set in advance.
pub fn new_page(&self, gc: &Context) {
unsafe { GENewPage(gc.context(), self.inner()) }
}
/// Change the clip rectangle.
pub fn clip(&self, from: (f64, f64), to: (f64, f64), gc: &Context) {
let from = gc.t(from);
let to = gc.t(to);
unsafe { GESetClip(from.0, from.1, to.0, to.1, self.inner()) }
}
/// Draw a stroked line. gc.color() is the stroke color.
pub fn line(&self, from: (f64, f64), to: (f64, f64), gc: &Context) {
let from = gc.t(from);
let to = gc.t(to);
unsafe { GELine(from.0, from.1, to.0, to.1, gc.context(), self.inner()) }
}
/// Draw a stroked/filled polyline. gc.color() is the stroke color.
/// The input is anything yielding (x,y) coordinate pairs.
/// Polylines are not closed.
pub fn polyline<T: IntoIterator<Item = (f64, f64)>>(&self, coords: T, gc: &Context) {
let (mut x, mut y): (Vec<_>, Vec<_>) = coords.into_iter().map(|xy| gc.t(xy)).unzip();
let xptr = x.as_mut_slice().as_mut_ptr();
let yptr = y.as_mut_slice().as_mut_ptr();
unsafe {
GEPolyline(
x.len() as std::os::raw::c_int,
xptr,
yptr,
gc.context(),
self.inner(),
)
}
}
/// Draw a stroked/filled polygon. gc.color() is the stroke color.
/// The input is anything yielding (x,y) coordinate pairs.
/// Polygons are closed.
pub fn polygon<T: IntoIterator<Item = (f64, f64)>>(&self, coords: T, gc: &Context) {
let (mut x, mut y): (Vec<_>, Vec<_>) = coords.into_iter().map(|xy| gc.t(xy)).unzip();
let xptr = x.as_mut_slice().as_mut_ptr();
let yptr = y.as_mut_slice().as_mut_ptr();
unsafe {
GEPolygon(
x.len() as std::os::raw::c_int,
xptr,
yptr,
gc.context(),
self.inner(),
)
}
}
// /// Return a list of (x, y) points generated from a spline.
// /// The iterator returns ((x, y), s) where s is -1 to 1.
// pub fn xspline<T: Iterator<Item = ((f64, f64), f64)> + Clone>(
// &self,
// coords: T,
// open: bool,
// rep_ends: bool,
// draw: bool,
// gc: &Context,
// ) -> Robj {
// let (mut x, mut y): (Vec<_>, Vec<_>) = coords
// .clone()
// .map(|(xy, _s)| gc.t(xy))
// .unzip();
// let mut s: Vec<_> = coords.map(|(_xy, s)| s).collect();
// let xptr = x.as_mut_slice().as_mut_ptr();
// let yptr = y.as_mut_slice().as_mut_ptr();
// let sptr = s.as_mut_slice().as_mut_ptr();
// unsafe {
// new_owned(GEXspline(
// x.len() as std::os::raw::c_int,
// xptr,
// yptr,
// sptr,
// if open { 1 } else { 0 },
// if rep_ends { 1 } else { 0 },
// if draw { 1 } else { 0 },
// gc.context(),
// self.inner(),
// ))
// }
// }
/// Draw a stroked/filled circle.
/// gc.color() is the stroke color.
/// gc.fill() is the fill color.
pub fn circle(&self, center: (f64, f64), radius: f64, gc: &Context) {
let center = gc.t(center);
let radius = gc.ts(radius);
unsafe { GECircle(center.0, center.1, radius, gc.context(), self.inner()) }
}
/// Draw a stroked/filled axis-aligned rectangle.
/// gc.color() is the stroke color.
/// gc.fill() is the fill color.
pub fn rect(&self, from: (f64, f64), to: (f64, f64), gc: &Context) {
let from = gc.t(from);
let to = gc.t(to);
unsafe { GERect(from.0, from.1, to.0, to.1, gc.context(), self.inner()) }
}
/// Draw a path with multiple segments.
/// gc.color() is the stroke color.
/// gc.fill() is the fill color.
/// The input is an interator of iterators yielding (x,y) pairs.
pub fn path<T: IntoIterator<Item = impl IntoIterator<Item = (f64, f64)>>>(
&self,
coords: T,
winding: bool,
gc: &Context,
) {
let mut x = Vec::new();
let mut y = Vec::new();
let mut nper: Vec<std::os::raw::c_int> = Vec::new();
let coords = coords.into_iter();
for segment in coords {
let mut n = 0;
for xy in segment {
let xy = gc.t(xy);
x.push(xy.0);
y.push(xy.1);
n += 1;
}
nper.push(n);
}
let xptr = x.as_mut_slice().as_mut_ptr();
let yptr = y.as_mut_slice().as_mut_ptr();
let nperptr = nper.as_mut_slice().as_mut_ptr();
unsafe {
GEPath(
xptr,
yptr,
nper.len() as std::os::raw::c_int,
nperptr,
winding.into(),
gc.context(),
self.inner(),
)
}
}
/// Screen capture. Returns an integer matrix representing pixels if it is able.
pub fn capture(&self) -> Robj {
unsafe { Robj::from_sexp(GECap(self.inner())) }
}
/// Draw a bitmap.
pub fn raster<T: AsRef<[u32]>>(
&self,
raster: Raster<T>,
pos: (f64, f64),
size: (f64, f64),
angle: f64,
interpolate: bool,
gc: &Context,
) {
let (x, y) = gc.t(pos);
let (width, height) = gc.trel(size);
let w = raster.width;
let pixels = raster.pixels.as_ref();
let h = pixels.len() / w;
unsafe {
let raster = pixels.as_ptr() as *mut u32;
let w = w as i32;
let h = h as i32;
let interpolate = interpolate.into();
GERaster(
raster,
w,
h,
x,
y,
width,
height,
angle,
interpolate,
gc.context(),
self.inner(),
)
};
}
/// Draw a text string starting at pos.
/// TODO: do we need to convert units?
pub fn text<T: AsRef<str>>(
&self,
pos: (f64, f64),
text: T,
center: (f64, f64),
rot: f64,
gc: &Context,
) {
unsafe {
let (x, y) = gc.t(pos);
let (xc, yc) = gc.trel(center);
let text = std::ffi::CString::new(text.as_ref()).unwrap();
let enc = cetype_t::CE_UTF8;
GEText(
x,
y,
text.as_ptr(),
enc,
xc,
yc,
rot,
gc.context(),
self.inner(),
);
}
}
/// Draw a special symbol centered on pos.
/// See <https://stat.ethz.ch/R-manual/R-devel/library/graphics/html/points.html>
pub fn symbol(&self, pos: (f64, f64), symbol: i32, size: f64, gc: &Context) {
unsafe {
let (x, y) = gc.t(pos);
GESymbol(x, y, symbol, gc.ts(size), gc.context(), self.inner());
}
}
/// Get the metrics for a single unicode codepoint.
pub fn char_metric(&self, c: char, gc: &Context) -> TextMetric {
unsafe {
let mut res = TextMetric {
ascent: 0.0,
descent: 0.0,
width: 0.0,
};
GEMetricInfo(
c as i32,
gc.context(),
&mut res.ascent as *mut f64,
&mut res.descent as *mut f64,
&mut res.width as *mut f64,
self.inner(),
);
gc.tmetric(res)
}
}
/// Get the width of a unicode string.
pub fn text_width<T: AsRef<str>>(&self, text: T, gc: &Context) -> f64 {
let text = std::ffi::CString::new(text.as_ref()).unwrap();
let enc = cetype_t::CE_UTF8;
unsafe { gc.its(GEStrWidth(text.as_ptr(), enc, gc.context(), self.inner())) }
}
/// Get the height of a unicode string.
pub fn text_height<T: AsRef<str>>(&self, text: T, gc: &Context) -> f64 {
let text = std::ffi::CString::new(text.as_ref()).unwrap();
let enc = cetype_t::CE_UTF8;
unsafe { gc.its(GEStrHeight(text.as_ptr(), enc, gc.context(), self.inner())) }
}
/// Get the metrics for a unicode string.
pub fn text_metric<T: AsRef<str>>(&self, text: T, gc: &Context) -> TextMetric {
let text = std::ffi::CString::new(text.as_ref()).unwrap();
let enc = cetype_t::CE_UTF8;
unsafe {
let mut res = TextMetric {
ascent: 0.0,
descent: 0.0,
width: 0.0,
};
GEStrMetric(
text.as_ptr(),
enc,
gc.context(),
&mut res.ascent as *mut f64,
&mut res.descent as *mut f64,
&mut res.width as *mut f64,
self.inner(),
);
gc.tmetric(res)
}
}
/// Get the width of a mathematical expression.
pub fn math_text_width(&self, expr: &Robj, gc: &Context) -> f64 {
unsafe { gc.its(GEExpressionWidth(expr.get(), gc.context(), self.inner())) }
}
/// Get the height of a mathematical expression.
pub fn math_text_height(&self, expr: &Robj, gc: &Context) -> f64 {
unsafe { gc.its(GEExpressionHeight(expr.get(), gc.context(), self.inner())) }
}
/// Get the metrics for a mathematical expression.
pub fn math_text_metric(&self, expr: &Robj, gc: &Context) -> TextMetric {
unsafe {
let mut res = TextMetric {
ascent: 0.0,
descent: 0.0,
width: 0.0,
};
GEExpressionMetric(
expr.get(),
gc.context(),
&mut res.ascent as *mut f64,
&mut res.descent as *mut f64,
&mut res.width as *mut f64,
self.inner(),
);
gc.tmetric(res)
}
}
/// Draw a mathematical expression.
pub fn math_text(
&self,
expr: &Robj,
pos: (f64, f64),
center: (f64, f64),
rot: f64,
gc: &Context,
) {
unsafe {
let (x, y) = gc.t(pos);
let (xc, yc) = gc.trel(center);
GEMathText(x, y, expr.get(), xc, yc, rot, gc.context(), self.inner());
}
}
}