use crate::elements::accent::{Color, ExpressionAccent, GenericAccent, OverSet, UnderSet};
use crate::elements::group::{
Abs, Angles, Braces, Brackets, Ceil, Floor, Group, Matrix, NonEnclosed, Norm, Parentheses,
Vector, XGroup,
};
use crate::elements::literal::{Literal, Number, PlainText, Symbol};
use crate::elements::special::{
Expression, Frac, Integral, OIntegral, Pow, Prod, Root, Special, Sqrt, Sub, Sum,
};
use crate::elements::Element;
use crate::tokens::{
Accent, Arrow, FontCommand, Function, Greek, Logical, Misc, Operation, Relation,
};
use htmlescape::{encode_attribute, encode_minimal};
pub trait ToMathML {
fn to_mathml(&self) -> String;
}
impl ToMathML for Literal {
fn to_mathml(&self) -> String {
match self {
Literal::Text(t) => t.to_mathml(),
Literal::Symbol(s) => s.to_mathml(),
Literal::Number(n) => n.to_mathml(),
Literal::Greek(g) => g.to_mathml(),
Literal::FontCommand(f) => f.to_mathml(),
Literal::Relation(r) => r.to_mathml(),
Literal::Function(f) => f.to_mathml(),
Literal::Logical(l) => l.to_mathml(),
Literal::Arrow(a) => a.to_mathml(),
Literal::Misc(m) => m.to_mathml(),
Literal::Operation(o) => o.to_mathml(),
Literal::NewLine => "<mspace linebreak='newline' />".to_string(),
}
}
}
impl ToMathML for Greek {
fn to_mathml(&self) -> String {
let inner = match self {
Greek::Alpha => "α",
Greek::Beta => "β",
Greek::Gamma => "γ",
Greek::BigGamma => "Γ",
Greek::Delta => "δ",
Greek::BigDelta => "Δ",
Greek::Epsilon => "ε",
Greek::VarEpsilon => "ε",
Greek::Zeta => "ζ",
Greek::Eta => "η",
Greek::Theta => "θ",
Greek::BigTheta => "Θ",
Greek::VarTheta => "θ",
Greek::Iota => "ι",
Greek::Kappa => "κ",
Greek::Lambda => "λ",
Greek::BigLambda => "Λ",
Greek::Mu => "μ",
Greek::Nu => "ν",
Greek::Xi => "ξ",
Greek::BigXi => "Ξ",
Greek::Pi => "π",
Greek::BigPi => "Π",
Greek::Rho => "ρ",
Greek::Sigma => "σ",
Greek::BigSigma => "Σ",
Greek::Tau => "τ",
Greek::Upsilon => "υ",
Greek::Phi => "φ",
Greek::BigPhi => "Φ",
Greek::VarPhi => "φ",
Greek::Chi => "χ",
Greek::Psi => "ψ",
Greek::BigPsi => "Ψ",
Greek::Omega => "ω",
Greek::BigOmega => "Ω",
};
format!("<mi>{}</mi>", inner)
}
}
impl ToMathML for PlainText {
fn to_mathml(&self) -> String {
if let Some(formatting) = &self.formatting {
format!(
"<mtext mathvariant='{}'>{}</mtext>",
formatting.to_mathml(),
encode_minimal(self.text.as_str())
)
} else {
format!("<mtext>{}</mtext>", encode_minimal(self.text.as_str()))
}
}
}
impl ToMathML for FontCommand {
fn to_mathml(&self) -> String {
match self {
FontCommand::Big => "bold".to_string(),
FontCommand::BigOutline => "double-struck".to_string(),
FontCommand::Cursive => "italic".to_string(),
FontCommand::TText => "script".to_string(),
FontCommand::Fr => "bold-fraktur".to_string(),
FontCommand::SansSerif => "sans-serif".to_string(),
}
}
}
impl ToMathML for Symbol {
fn to_mathml(&self) -> String {
format!("<mi>{}</mi>", encode_minimal(self.symbol.as_str()))
}
}
impl ToMathML for Number {
fn to_mathml(&self) -> String {
format!("<mn>{}</mn>", encode_minimal(self.number.as_str()))
}
}
impl ToMathML for Relation {
fn to_mathml(&self) -> String {
let inner = match self {
Relation::Eq => "=",
Relation::Ne => "≠",
Relation::Lt => "<",
Relation::Gt => ">",
Relation::Le => "≤",
Relation::Ge => "≥",
Relation::Prec => "≺",
Relation::Succ => "≻",
Relation::PrecEq => "≼",
Relation::SuccEq => "≽",
Relation::In => "∈",
Relation::NotIn => "∉",
Relation::SubSet => "⊂",
Relation::SupSet => "⊃",
Relation::SubSetEq => "⊆",
Relation::SupSetEq => "⊇",
Relation::Equiv => "≡",
Relation::Cong => "≅",
Relation::Approx => "≈",
Relation::PropTo => "∝",
};
format!("<mo>{}</mo>", inner)
}
}
impl ToMathML for Function {
fn to_mathml(&self) -> String {
let inner = match self {
Function::Exp => "exp",
Function::Sin => "sin",
Function::Max => "max",
Function::Min => "min",
Function::Glb => "glb",
Function::G => "g",
Function::Lub => "lub",
Function::Lcm => "lcm",
Function::Gcd => "gcd",
Function::Mod => "mod",
Function::Dim => "dim",
Function::Det => "det",
Function::Ln => "ln",
Function::Log => "log",
Function::Cot => "cot",
Function::Csc => "csc",
Function::Sech => "sech",
Function::Tanh => "tanh",
Function::Cosh => "cosh",
Function::ArcSin => "arcsin",
Function::ArcCos => "arccos",
Function::ArcTan => "arctan",
Function::Tan => "tan",
Function::Cos => "cos",
Function::F => "f",
Function::Sec => "sec",
Function::Sinh => "sinh",
Function::Csch => "csch",
Function::Coth => "coth",
};
format!("<mi>{}</mi>", inner)
}
}
impl ToMathML for Logical {
fn to_mathml(&self) -> String {
let inner = match self {
Logical::And => "and",
Logical::Or => "or",
Logical::Not => "¬",
Logical::Implies => "⇒",
Logical::If => "if",
Logical::Iff => "⇔",
Logical::ForAll => "∀",
Logical::Exists => "exists;",
Logical::Bot => "⊥",
Logical::Top => "⊤",
Logical::VDash => "⊢",
Logical::Models => "⊨",
};
format!("<mo>{}</mo>", inner)
}
}
impl ToMathML for Arrow {
fn to_mathml(&self) -> String {
let inner = match self {
Arrow::UpArrow => "↑",
Arrow::DownArrow => "↓",
Arrow::RightArrow => "→",
Arrow::To => "→",
Arrow::RightArrowTail => "↣",
Arrow::TwoHeadRightArrow => "↠",
Arrow::TwoHeadRightArrowTail => "⤖",
Arrow::MapsTo => "↦",
Arrow::LeftArrow => "←",
Arrow::LeftRightArrow => "⟷",
Arrow::BigRightArrow => "⇨",
Arrow::BigLeftArrow => "⇦",
Arrow::BigLeftRightArrow => "⬄",
};
format!("<mo>{}</mo>", inner)
}
}
impl ToMathML for Misc {
fn to_mathml(&self) -> String {
let inner = match self {
Misc::Del => "∂",
Misc::Grad => "∇",
Misc::PlusMinus => "±",
Misc::EmptySet => "∅",
Misc::Infty => "∞",
Misc::Aleph => "ℵ",
Misc::Therefore => "∴",
Misc::Because => "∵",
Misc::PLDots => "|…|",
Misc::PCDots => "|···|",
Misc::VDots => "︙",
Misc::DDots => "⋱",
Misc::EPipes => "||",
Misc::EQuad => "| |",
Misc::Angle => "∠",
Misc::Frown => "⌢",
Misc::Triangle => "△",
Misc::Diamond => "⋄",
Misc::Square => "□",
Misc::LFloor => "⌊",
Misc::RFloor => "⌋",
Misc::LCeiling => "⌈",
Misc::RCeiling => "⌉",
Misc::Complex => "ℂ",
Misc::Natural => "ℕ",
Misc::Rational => "ℚ",
Misc::Real => "ℝ",
Misc::Integer => "ℤ",
_ => "",
};
format!("<mi>{}</mi>", inner)
}
}
impl ToMathML for Operation {
fn to_mathml(&self) -> String {
let inner = match self {
Operation::Plus => "+",
Operation::Minus => "−",
Operation::CDot => "⋅",
Operation::Ast => "∗",
Operation::Star => "⋆",
Operation::Slash => "/",
Operation::Backslash => "∖",
Operation::Times => "×",
Operation::Div => "÷",
Operation::LTimes => "⋉",
Operation::RTimes => "⋊",
Operation::Bowtie => "⋈",
Operation::Circ => "∘",
Operation::OPlus => "⊕",
Operation::OTimes => "⊗",
Operation::ODot => "⊙",
Operation::Wedge => "∧",
Operation::BidWedge => "⋀",
Operation::Vee => "∨",
Operation::BigVee => "⋁",
Operation::Cap => "∩",
Operation::BigCap => "⋂",
Operation::Cup => "∪",
Operation::BigCup => "⋃",
_ => "",
};
format!("<mo>{}</mo>", inner)
}
}
impl ToMathML for Accent {
fn to_mathml(&self) -> String {
match self {
Accent::Hat => "ˆ".to_string(),
Accent::Overline => "¯".to_string(),
Accent::Underline => "–".to_string(),
Accent::Vec => "→".to_string(),
Accent::Dot => ".".to_string(),
Accent::DDot => "..".to_string(),
Accent::UnderBrace => "⏟".to_string(),
Accent::OverBrace => "⏞".to_string(),
Accent::Cancel => "⟋".to_string(),
_ => "".to_string(),
}
}
}
impl ToMathML for OverSet {
fn to_mathml(&self) -> String {
format!(
"<mover accentover='true'><mrow>{}</mrow><mo>{}</mo>",
self.bottom.to_mathml(),
self.top.to_mathml()
)
}
}
impl ToMathML for UnderSet {
fn to_mathml(&self) -> String {
format!(
"<munder accentunder='true'><mrow>{}</mrow><mo>{}</mo>",
self.top.to_mathml(),
self.bottom.to_mathml(),
)
}
}
impl ToMathML for Color {
fn to_mathml(&self) -> String {
format!(
"<mstyle mathcolor='{}'>{}</mstyle>",
encode_attribute(self.color.as_str()),
self.inner.to_mathml()
)
}
}
impl ToMathML for GenericAccent {
fn to_mathml(&self) -> String {
match self.accent {
Accent::Hat
| Accent::Overline
| Accent::Vec
| Accent::Dot
| Accent::DDot
| Accent::OverBrace => format!(
"<mover accentover='true'><mrow>{}</mrow><mo>{}</mo></mover>",
self.inner.to_mathml(),
self.accent.to_mathml()
),
Accent::Underline | Accent::UnderBrace => format!(
"<munder accentunder='true'><mrow>{}</mrow><mo>{}</mo></mover>",
self.inner.to_mathml(),
self.accent.to_mathml()
),
_ => self.inner.to_mathml(),
}
}
}
impl ToMathML for Group {
fn to_mathml(&self) -> String {
match self {
Group::Vector(v) => v.to_mathml(),
Group::MSep => ",".to_string(),
Group::Parentheses(p) => p.to_mathml(),
Group::Brackets(b) => b.to_mathml(),
Group::Braces(b) => b.to_mathml(),
Group::Angles(a) => a.to_mathml(),
Group::XGroup(x) => x.to_mathml(),
Group::Abs(a) => a.to_mathml(),
Group::Floor(f) => f.to_mathml(),
Group::Ceil(c) => c.to_mathml(),
Group::Norm(n) => n.to_mathml(),
Group::Matrix(m) => m.to_mathml(),
Group::NonEnclosed(ne) => ne.to_mathml(),
}
}
}
impl ToMathML for Parentheses {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>(</mo>{}<mo>)</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Brackets {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>[</mo>{}<mo>]</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Braces {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>{</mo>{}<mo>}</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Angles {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>⟨</mo>{}<mo>⟩</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for XGroup {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>(x</mo>{}<mo>x)</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Abs {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>|</mo>{}<mo>|</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Floor {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>⌊</mo>{}<mo>⌋</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Ceil {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>⌈</mo>{}<mo>⌉</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Norm {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>||</mo>{}<mo>||</mo></mrow>",
self.inner.to_mathml()
)
}
}
impl ToMathML for Matrix {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>[</mo><mtable>{}</mtable><mo>]</mo></mrow>",
self.inner.iter().fold("".to_string(), |a, b| format!(
"{}<mtr>{}</mtr>",
a,
b.iter().fold("".to_string(), |a, b| format!(
"{}<mtd>{}</mtd>",
a,
b.to_mathml()
))
))
)
}
}
impl ToMathML for Vector {
fn to_mathml(&self) -> String {
format!(
"<mrow><mo>(</mo><mtable>{}</mtable><mo>)</mo></mrow>",
self.inner.iter().fold("".to_string(), |a, b| format!(
"{}<mtr>{}</mtr>",
a,
b.iter().fold("".to_string(), |a, b| format!(
"{}<mtd>{}</mtd>",
a,
b.to_mathml()
))
))
)
}
}
impl ToMathML for NonEnclosed {
fn to_mathml(&self) -> String {
format!("<mrow>{}</mrow>", self.inner.to_mathml())
}
}
impl ToMathML for Special {
fn to_mathml(&self) -> String {
match self {
Special::Sum(s) => s.to_mathml(),
Special::Prod(p) => p.to_mathml(),
Special::Frac(f) => f.to_mathml(),
Special::Pow(p) => p.to_mathml(),
Special::Sub(s) => s.to_mathml(),
Special::Sqrt(s) => s.to_mathml(),
Special::Root(r) => r.to_mathml(),
Special::Integral(i) => i.to_mathml(),
Special::OIntegral(i) => i.to_mathml(),
}
}
}
impl ToMathML for Sum {
fn to_mathml(&self) -> String {
if let Some(bottom) = &self.bottom {
if let Some(top) = &self.top {
format!(
"<munderover><mi>∑</mi>{}{}</munderover>",
bottom.to_mathml(),
top.to_mathml()
)
} else {
format!("<munder><mi>∑</mi>{}</munder>", bottom.to_mathml())
}
} else if let Some(top) = &self.top {
format!("<mover><mi>∑<mi>{}</mover>", top.to_mathml())
} else {
format!("<mi>∑</mi>")
}
}
}
impl ToMathML for Prod {
fn to_mathml(&self) -> String {
if let Some(bottom) = &self.bottom {
if let Some(top) = &self.top {
format!(
"<munderover><mi>∏</mi>{}{}</munderover>",
bottom.to_mathml(),
top.to_mathml()
)
} else {
format!("<munder><mi>∏</mi>{}</munder>", bottom.to_mathml())
}
} else if let Some(top) = &self.top {
format!("<mover><mi>∏<mi>{}</mover>", top.to_mathml())
} else {
format!("<mi>∏</mi>")
}
}
}
impl ToMathML for Frac {
fn to_mathml(&self) -> String {
format!(
"<mfrac>{}{}</mfrac>",
self.top.to_mathml(),
self.bottom.to_mathml()
)
}
}
impl ToMathML for Sqrt {
fn to_mathml(&self) -> String {
format!("<msqrt>{}</msqrt>", self.inner.to_mathml())
}
}
impl ToMathML for Root {
fn to_mathml(&self) -> String {
format!(
"<mroot>{}{}</mroot>",
self.base.to_mathml(),
self.inner.to_mathml()
)
}
}
impl ToMathML for Pow {
fn to_mathml(&self) -> String {
format!(
"<msup>{}{}</msup>",
self.base.to_mathml(),
self.exp.to_mathml()
)
}
}
impl ToMathML for Sub {
fn to_mathml(&self) -> String {
format!(
"<msub>{}{}</msub>",
self.base.to_mathml(),
self.lower.to_mathml()
)
}
}
impl ToMathML for Integral {
fn to_mathml(&self) -> String {
if let Some(bottom) = &self.bottom {
if let Some(top) = &self.top {
format!(
"<munderover><mi>∫</mi>{}{}</munderover>",
bottom.to_mathml(),
top.to_mathml()
)
} else {
format!("<munder><mi>∫</mi>{}</munder>", bottom.to_mathml())
}
} else if let Some(top) = &self.top {
format!("<mover><mi>∫<mi>{}</mover>", top.to_mathml())
} else {
format!("<mi>∫</mi>")
}
}
}
impl ToMathML for OIntegral {
fn to_mathml(&self) -> String {
if let Some(bottom) = &self.bottom {
if let Some(top) = &self.top {
format!(
"<munderover><mi>∮</mi>{}{}</munderover>",
bottom.to_mathml(),
top.to_mathml()
)
} else {
format!("<munder><mi>∮</mi>{}</munder>", bottom.to_mathml())
}
} else if let Some(top) = &self.top {
format!("<mover><mi>∮<mi>{}</mover>", top.to_mathml())
} else {
format!("<mi>∮</mi>")
}
}
}
impl ToMathML for ExpressionAccent {
fn to_mathml(&self) -> String {
match self {
ExpressionAccent::Generic(g) => g.to_mathml(),
ExpressionAccent::OverSet(o) => o.to_mathml(),
ExpressionAccent::UnderSet(u) => u.to_mathml(),
ExpressionAccent::Color(c) => c.to_mathml(),
}
}
}
impl ToMathML for Expression {
fn to_mathml(&self) -> String {
format!(
"<mrow>{}</mrow>",
self.children
.iter()
.fold("".to_string(), |a, b| format!("{}{}", a, b.to_mathml()))
)
}
}
impl ToMathML for Element {
fn to_mathml(&self) -> String {
match self {
Element::Special(s) => s.to_mathml(),
Element::Literal(l) => l.to_mathml(),
Element::Group(g) => g.to_mathml(),
Element::Accent(a) => a.to_mathml(),
}
}
}