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@{% | |
const greekLetterMap = { "alpha": "α", "beta": "β", "gamma": "γ", "delta": "δ", "epsilon": "ε", "varepsilon": "ε", "zeta": "ζ", "eta": "η", "theta": "θ", "iota": "ι", "kappa": "κ", "lambda": "λ", "mu": "μ", "nu": "ν", "xi": "ξ", "omicron": "ο", "pi": "π", "rho": "ρ", "sigma": "σ", "tau": "τ", "upsilon": "υ", "phi": "ϕ", "chi": "χ", "psi": "ψ", "omega": "ω", "Gamma": "Γ", "Delta": "Δ", "Theta": "Θ", "Lambda": "Λ", "Xi": "Ξ", "Pi": "Π", "Sigma": "Σ", "Upsilon": "Υ", "Phi": "Φ", "Psi": "Ψ", "Omega": "Ω" } | |
const moo = require("moo"); | |
const lexer = moo.compile({ | |
Fn: ['cos', 'sin', 'tan', | |
'cosec', 'sec', 'cot', | |
'arccos', 'arcsin', 'arctan', | |
'arccosec', 'arcsec', 'arccot', | |
'cosh', 'sinh', 'tanh', 'cosech', 'sech', 'coth', | |
'arccosh', 'arcsinh', 'arctanh', 'arccosech', 'arcsech', 'arccoth', | |
'log', 'ln', | |
], | |
Radix: 'sqrt', | |
Lparen: '(', | |
Rparen: ')', | |
PlusMinus: /[+-]/, | |
Pow: ['^', '**'], | |
Mult: ['*', ' '], | |
Div: '/', | |
c: /./ | |
}); | |
%} | |
@lexer lexer | |
main => _ AS _ {% (d) => { return {...d[1], position: { x: window.innerWidth/2, y: window.innerHeight/2 } } } %} | |
# Parentheses | |
P -> %Lparen _ AS _ %Rparen {% function(d) { return { type:'Brackets', properties: { type: "round" }, children: { argument: d[2] } } } %} | |
| N {% id %} | |
| FN {% id %} | |
| SY {% id %} | |
# Exponents | |
@{% | |
const processExponent = (d) => { | |
let base = d[0] | |
base.children = {...base.children, superscript: d[4] } | |
return base | |
} | |
%} | |
E -> P _ %Pow _ E {% processExponent %} | |
| P {% id %} | |
# Multiplication and division | |
@{% | |
const processMultiplication = (d) => { | |
let left = d[0] | |
let r = left | |
while (r.children.right) { | |
r = r.children.right | |
} | |
r.children = {...r.children, right: d[4] } | |
return left | |
} | |
const processFraction = (d) => { | |
return { | |
type: "Fraction", | |
children: { | |
numerator: d[0], | |
denominator: d[4] | |
} | |
} | |
} | |
%} | |
MD -> MD _ %Mult _ E {% processMultiplication %} | |
| MD _ %Div _ E {% processFraction %} | |
| E {% id %} | |
# Addition and subtraction | |
@{% | |
const processBinaryOp = (d) => { | |
let left = d[0] | |
let r = { | |
type: "BinaryOperation", | |
properties: { operation: d[2].text }, | |
children: { right: d[4] } | |
} | |
if (left.children) { | |
left.children.right = r | |
} else { | |
left.children = { right: r } | |
} | |
return left | |
} | |
%} | |
AS -> AS _ %PlusMinus _ MD {% processBinaryOp %} | |
| MD {% id %} | |
# Functions | |
@{% | |
const processFn = (d) => { | |
let r = { | |
type: "Fn", | |
properties: { | |
name: d[0].text | |
} | |
} | |
if (null !== d[3]) { | |
r.children = { argument: d[3] } | |
} | |
return r | |
} | |
%} | |
FN -> %Fn %Lparen _ AS _ %Rparen {% processFn %} | |
| %Radix %Lparen _ AS _ %Rparen {% (d) => { return { type: "Radix", children: { argument: d[3] } } } %} | |
# Symbols (letters) | |
SY -> [a-zA-Z]:+ {% (d) => { return { type: "Symbol", properties: { letter: greekLetterMap[d[0].join("")] || d[0].join("") }, children: { } } } %} | |
| SY "_" [a-zA-Z0-9]:+ {% (d) => { return { ...d[0], children: { subscript: { type: "Symbol", properties: { letter: d[2].join("") } } } } } %} | |
# Numbers (integers only) | |
N -> [0-9]:+ {% (d) => { return { type: 'Num', properties: { significand: d[0].join("") }, children: { } } } %} | |
_ -> [\s]:* {% (d) => null %} |
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