diff options
Diffstat (limited to 'crates/typst-library/src/math/attach.rs')
| -rw-r--r-- | crates/typst-library/src/math/attach.rs | 411 |
1 files changed, 411 insertions, 0 deletions
diff --git a/crates/typst-library/src/math/attach.rs b/crates/typst-library/src/math/attach.rs new file mode 100644 index 00000000..fedeb908 --- /dev/null +++ b/crates/typst-library/src/math/attach.rs @@ -0,0 +1,411 @@ +use super::*; + +/// A base with optional attachments. +/// +/// ## Example { #example } +/// ```example +/// // With syntax. +/// $ sum_(i=0)^n a_i = 2^(1+i) $ +/// +/// // With function call. +/// $ attach( +/// Pi, t: alpha, b: beta, +/// tl: 1, tr: 2+3, bl: 4+5, br: 6, +/// ) $ +/// ``` +/// +/// ## Syntax { #syntax } +/// This function also has dedicated syntax for attachments after the base: Use +/// the underscore (`_`) to indicate a subscript i.e. bottom attachment and the +/// hat (`^`) to indicate a superscript i.e. top attachment. +/// +/// Display: Attachment +/// Category: math +#[element(LayoutMath)] +pub struct AttachElem { + /// The base to which things are attached. + #[required] + pub base: Content, + + /// The top attachment, smartly positioned at top-right or above the base. + /// + /// You can wrap the base in `{limits()}` or `{scripts()}` to override the + /// smart positioning. + pub t: Option<Content>, + + /// The bottom attachment, smartly positioned at the bottom-right or below + /// the base. + /// + /// You can wrap the base in `{limits()}` or `{scripts()}` to override the + /// smart positioning. + pub b: Option<Content>, + + /// The top-left attachment (before the base). + pub tl: Option<Content>, + + /// The bottom-left attachment (before base). + pub bl: Option<Content>, + + /// The top-right attachment (after the base). + pub tr: Option<Content>, + + /// The bottom-right attachment (after the base). + pub br: Option<Content>, +} + +impl LayoutMath for AttachElem { + #[tracing::instrument(skip(ctx))] + fn layout_math(&self, ctx: &mut MathContext) -> SourceResult<()> { + type GetAttachment = fn(&AttachElem, styles: StyleChain) -> Option<Content>; + let layout_attachment = |ctx: &mut MathContext, getter: GetAttachment| { + getter(self, ctx.styles()) + .map(|elem| ctx.layout_fragment(&elem)) + .transpose() + }; + + let base = ctx.layout_fragment(&self.base())?; + + ctx.style(ctx.style.for_superscript()); + let tl = layout_attachment(ctx, Self::tl)?; + let tr = layout_attachment(ctx, Self::tr)?; + let t = layout_attachment(ctx, Self::t)?; + ctx.unstyle(); + + ctx.style(ctx.style.for_subscript()); + let bl = layout_attachment(ctx, Self::bl)?; + let br = layout_attachment(ctx, Self::br)?; + let b = layout_attachment(ctx, Self::b)?; + ctx.unstyle(); + + let limits = base.limits().active(ctx); + let (t, tr) = if limits || tr.is_some() { (t, tr) } else { (None, t) }; + let (b, br) = if limits || br.is_some() { (b, br) } else { (None, b) }; + layout_attachments(ctx, base, [tl, t, tr, bl, b, br]) + } +} + +/// Forces a base to display attachments as scripts. +/// +/// ## Example { #example } +/// ```example +/// $ scripts(sum)_1^2 != sum_1^2 $ +/// ``` +/// +/// Display: Scripts +/// Category: math +#[element(LayoutMath)] +pub struct ScriptsElem { + /// The base to attach the scripts to. + #[required] + pub body: Content, +} + +impl LayoutMath for ScriptsElem { + #[tracing::instrument(skip(ctx))] + fn layout_math(&self, ctx: &mut MathContext) -> SourceResult<()> { + let mut fragment = ctx.layout_fragment(&self.body())?; + fragment.set_limits(Limits::Never); + ctx.push(fragment); + Ok(()) + } +} + +/// Forces a base to display attachments as limits. +/// +/// ## Example { #example } +/// ```example +/// $ limits(A)_1^2 != A_1^2 $ +/// ``` +/// +/// Display: Limits +/// Category: math +#[element(LayoutMath)] +pub struct LimitsElem { + /// The base to attach the limits to. + #[required] + pub body: Content, + + /// Whether to also force limits in inline equations. + /// + /// When applying limits globally (e.g., through a show rule), it is + /// typically a good idea to disable this. + #[default(true)] + pub inline: bool, +} + +impl LayoutMath for LimitsElem { + #[tracing::instrument(skip(ctx))] + fn layout_math(&self, ctx: &mut MathContext) -> SourceResult<()> { + let mut fragment = ctx.layout_fragment(&self.body())?; + fragment.set_limits(if self.inline(ctx.styles()) { + Limits::Always + } else { + Limits::Display + }); + ctx.push(fragment); + Ok(()) + } +} + +/// Describes in which situation a frame should use limits for attachments. +#[derive(Debug, Copy, Clone)] +pub enum Limits { + /// Always scripts. + Never, + /// Display limits only in `display` math. + Display, + /// Always limits. + Always, +} + +impl Limits { + /// The default limit configuration if the given character is the base. + pub fn for_char(c: char) -> Self { + if Self::DEFAULT_TO_LIMITS.contains(&c) { + Limits::Display + } else { + Limits::Never + } + } + + /// Whether limits should be displayed in this context + pub fn active(&self, ctx: &MathContext) -> bool { + match self { + Self::Always => true, + Self::Display => ctx.style.size == MathSize::Display, + Self::Never => false, + } + } + + /// Unicode codepoints that should show attachments as limits in display + /// mode. + #[rustfmt::skip] + const DEFAULT_TO_LIMITS: &[char] = &[ + /* ∏ */ '\u{220F}', /* ∐ */ '\u{2210}', /* ∑ */ '\u{2211}', + /* ⋀ */ '\u{22C0}', /* ⋁ */ '\u{22C1}', + /* ⋂ */ '\u{22C2}', /* ⋃ */ '\u{22C3}', + /* ⨀ */ '\u{2A00}', /* ⨁ */ '\u{2A01}', /* ⨂ */ '\u{2A02}', + /* ⨃ */ '\u{2A03}', /* ⨄ */ '\u{2A04}', + /* ⨅ */ '\u{2A05}', /* ⨆ */ '\u{2A06}', + ]; +} + +macro_rules! measure { + ($e: ident, $attr: ident) => { + $e.as_ref().map(|e| e.$attr()).unwrap_or_default() + }; +} + +/// Layout the attachments. +fn layout_attachments( + ctx: &mut MathContext, + base: MathFragment, + [tl, t, tr, bl, b, br]: [Option<MathFragment>; 6], +) -> SourceResult<()> { + let (shift_up, shift_down) = + compute_shifts_up_and_down(ctx, &base, [&tl, &tr, &bl, &br]); + + let sup_delta = Abs::zero(); + let sub_delta = -base.italics_correction(); + let (base_width, base_ascent, base_descent) = + (base.width(), base.ascent(), base.descent()); + let base_class = base.class().unwrap_or(MathClass::Normal); + + let ascent = base_ascent + .max(shift_up + measure!(tr, ascent)) + .max(shift_up + measure!(tl, ascent)) + .max(shift_up + measure!(t, height)); + + let descent = base_descent + .max(shift_down + measure!(br, descent)) + .max(shift_down + measure!(bl, descent)) + .max(shift_down + measure!(b, height)); + + let pre_sup_width = measure!(tl, width); + let pre_sub_width = measure!(bl, width); + let pre_width_dif = pre_sup_width - pre_sub_width; // Could be negative. + let pre_width_max = pre_sup_width.max(pre_sub_width); + let post_max_width = + (sup_delta + measure!(tr, width)).max(sub_delta + measure!(br, width)); + + let (center_frame, base_offset) = attach_top_and_bottom(ctx, base, t, b); + let base_pos = + Point::new(sup_delta + pre_width_max, ascent - base_ascent - base_offset); + if [&tl, &bl, &tr, &br].iter().all(|&e| e.is_none()) { + ctx.push(FrameFragment::new(ctx, center_frame).with_class(base_class)); + return Ok(()); + } + + let mut frame = Frame::new(Size::new( + pre_width_max + base_width + post_max_width + scaled!(ctx, space_after_script), + ascent + descent, + )); + frame.set_baseline(ascent); + frame.push_frame(base_pos, center_frame); + + if let Some(tl) = tl { + let pos = + Point::new(-pre_width_dif.min(Abs::zero()), ascent - shift_up - tl.ascent()); + frame.push_frame(pos, tl.into_frame()); + } + + if let Some(bl) = bl { + let pos = + Point::new(pre_width_dif.max(Abs::zero()), ascent + shift_down - bl.ascent()); + frame.push_frame(pos, bl.into_frame()); + } + + if let Some(tr) = tr { + let pos = Point::new( + sup_delta + pre_width_max + base_width, + ascent - shift_up - tr.ascent(), + ); + frame.push_frame(pos, tr.into_frame()); + } + + if let Some(br) = br { + let pos = Point::new( + sub_delta + pre_width_max + base_width, + ascent + shift_down - br.ascent(), + ); + frame.push_frame(pos, br.into_frame()); + } + + ctx.push(FrameFragment::new(ctx, frame).with_class(base_class)); + + Ok(()) +} + +fn attach_top_and_bottom( + ctx: &mut MathContext, + base: MathFragment, + t: Option<MathFragment>, + b: Option<MathFragment>, +) -> (Frame, Abs) { + let upper_gap_min = scaled!(ctx, upper_limit_gap_min); + let upper_rise_min = scaled!(ctx, upper_limit_baseline_rise_min); + let lower_gap_min = scaled!(ctx, lower_limit_gap_min); + let lower_drop_min = scaled!(ctx, lower_limit_baseline_drop_min); + + let mut base_offset = Abs::zero(); + let mut width = base.width(); + let mut height = base.height(); + + if let Some(t) = &t { + let top_gap = upper_gap_min.max(upper_rise_min - t.descent()); + width.set_max(t.width()); + height += t.height() + top_gap; + base_offset = top_gap + t.height(); + } + + if let Some(b) = &b { + let bottom_gap = lower_gap_min.max(lower_drop_min - b.ascent()); + width.set_max(b.width()); + height += b.height() + bottom_gap; + } + + let base_pos = Point::new((width - base.width()) / 2.0, base_offset); + let delta = base.italics_correction() / 2.0; + + let mut frame = Frame::new(Size::new(width, height)); + frame.set_baseline(base_pos.y + base.ascent()); + frame.push_frame(base_pos, base.into_frame()); + + if let Some(t) = t { + let top_pos = Point::with_x((width - t.width()) / 2.0 + delta); + frame.push_frame(top_pos, t.into_frame()); + } + + if let Some(b) = b { + let bottom_pos = + Point::new((width - b.width()) / 2.0 - delta, height - b.height()); + frame.push_frame(bottom_pos, b.into_frame()); + } + + (frame, base_offset) +} + +fn compute_shifts_up_and_down( + ctx: &MathContext, + base: &MathFragment, + [tl, tr, bl, br]: [&Option<MathFragment>; 4], +) -> (Abs, Abs) { + let sup_shift_up = if ctx.style.cramped { + scaled!(ctx, superscript_shift_up_cramped) + } else { + scaled!(ctx, superscript_shift_up) + }; + + let sup_bottom_min = scaled!(ctx, superscript_bottom_min); + let sup_bottom_max_with_sub = scaled!(ctx, superscript_bottom_max_with_subscript); + let sup_drop_max = scaled!(ctx, superscript_baseline_drop_max); + let gap_min = scaled!(ctx, sub_superscript_gap_min); + let sub_shift_down = scaled!(ctx, subscript_shift_down); + let sub_top_max = scaled!(ctx, subscript_top_max); + let sub_drop_min = scaled!(ctx, subscript_baseline_drop_min); + + let mut shift_up = Abs::zero(); + let mut shift_down = Abs::zero(); + let is_char_box = is_character_box(base); + + if tl.is_some() || tr.is_some() { + let ascent = match &base { + MathFragment::Frame(frame) => frame.base_ascent, + _ => base.ascent(), + }; + shift_up = shift_up + .max(sup_shift_up) + .max(if is_char_box { Abs::zero() } else { ascent - sup_drop_max }) + .max(sup_bottom_min + measure!(tl, descent)) + .max(sup_bottom_min + measure!(tr, descent)); + } + + if bl.is_some() || br.is_some() { + shift_down = shift_down + .max(sub_shift_down) + .max(if is_char_box { Abs::zero() } else { base.descent() + sub_drop_min }) + .max(measure!(bl, ascent) - sub_top_max) + .max(measure!(br, ascent) - sub_top_max); + } + + for (sup, sub) in [(tl, bl), (tr, br)] { + if let (Some(sup), Some(sub)) = (&sup, &sub) { + let sup_bottom = shift_up - sup.descent(); + let sub_top = sub.ascent() - shift_down; + let gap = sup_bottom - sub_top; + if gap >= gap_min { + continue; + } + + let increase = gap_min - gap; + let sup_only = + (sup_bottom_max_with_sub - sup_bottom).clamp(Abs::zero(), increase); + let rest = (increase - sup_only) / 2.0; + shift_up += sup_only + rest; + shift_down += rest; + } + } + + (shift_up, shift_down) +} + +/// Whether the fragment consists of a single character or atomic piece of text. +fn is_character_box(fragment: &MathFragment) -> bool { + match fragment { + MathFragment::Glyph(_) | MathFragment::Variant(_) => { + fragment.class() != Some(MathClass::Large) + } + MathFragment::Frame(fragment) => is_atomic_text_frame(&fragment.frame), + _ => false, + } +} + +/// Handles e.g. "sin", "log", "exp", "CustomOperator". +fn is_atomic_text_frame(frame: &Frame) -> bool { + // Meta information isn't visible or renderable, so we exclude it. + let mut iter = frame + .items() + .map(|(_, item)| item) + .filter(|item| !matches!(item, FrameItem::Meta(_, _))); + matches!(iter.next(), Some(FrameItem::Text(_))) && iter.next().is_none() +} |
