viewof fn = eqn`f(theta) = sin(theta)`
fn(0.5)
eqn`f(x) = besselj0(x) + polygamma(n, x) + gamma(pi/2)`
viewof f = eqn.block`gamma(n + 1) / factorial(n)`
f({ n: 8 })
f({})
viewof wave1 = eqn`f = sin(omega * t + phi)`
wave1({ omega: 2, phi: 0.5, t: 1 })
viewof wave2 = eqn`f(omega, phi, t) = sin(omega * t + phi)`
wave2(2, 0.5, 1)
wave2.ast
f.serialize()
viewof uv2 = eqn.block`
u = cos(theta),
v = sin(theta)`
uv2({ theta: 2 })
viewof uv = eqn.block`[u, v] = [cos(theta), sin(theta)]`
uv({ theta: 1 })
customEqn = eqnFactory([stdlibLibrary, jacobiElliptic])
viewof y = customEqn.block`
y_0 = 2 * l * sqrt(m) * sn(u, m) * dn(u, m)
y_1 = 2 * l * sqrt(m) * cn(u, m) * (2 * dn(u, m)**2 - 1)
y_2 = -2 * l * sqrt(m) * sn(u, m) * dn(u, m) * (6 * dn(u, m)**2 + 4 * m - 5)
`
tabulated = y.tabulate({
u: [0, special.ellipk(m) * 4],
k: Math.sqrt(m),
l: 1,
m
})
Plot.plot({
width: Math.min(640, width),
height: 300,
grid: true,
marks: [
Plot.ruleX([0]),
Plot.ruleY([0]),
Plot.line(tabulated, { x: "u", y: "y_0", stroke: "#c39" }),
Plot.line(tabulated, { x: "u", y: "y_1", stroke: "#9c3" }),
Plot.line(tabulated, { x: "u", y: "y_2", stroke: "#39c" })
]
})
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