use std::f64::consts::{FRAC_PI_2, FRAC_PI_3, FRAC_PI_4};
use ellip::ellipdinc;
use ellip_plot_graph::*;
use plotly::{
Layout, Plot, Scatter,
color::NamedColor,
common::{Line, Mode},
layout::{Annotation, Axis},
};
macro_rules! get_trace {
($phi: expr, $m: expr, $name: expr) => {{
let value = $m
.iter()
.map(|&mi| match ellipdinc($phi, mi) {
Ok(ans) => ans,
Err(_) => f64::NAN,
})
.collect();
Scatter::new($m.clone(), value)
.mode(Mode::Lines)
.name($name)
}};
($phi: expr, $m: expr, $name: expr, $line_color: expr) => {
get_trace!($phi, $m, $name).line(Line::new().color($line_color))
};
}
fn main() -> Result<(), Box<dyn std::error::Error>> {
let n_points = 100;
let range_m = [-5, 2];
let m: Vec<f64> = (range_m[0] * n_points..=range_m[1] * n_points)
.map(|x| x as f64 / n_points as f64)
.collect();
let mut plot = Plot::new();
plot.add_traces(vec![
get_trace!(FRAC_PI_2, &m, "φ=π/2", NamedColor::Red),
get_trace!(FRAC_PI_3, &m, "φ=π/3"),
get_trace!(FRAC_PI_4, &m, "φ=π/4"),
]);
plot.set_layout(
Layout::new()
.title("Incomplete Elliptic Integral of the Legendre's Type (D)")
.x_axis(Axis::new().title("m").show_line(true))
.y_axis(
Axis::new()
.title("D(φ,m)")
.show_line(true)
.range(vec![0.0, 3.0]),
)
.legend(
plotly::layout::Legend::new()
.x(1.0)
.x_anchor(plotly::common::Anchor::Right)
)
.annotations(vec![Annotation::new()
.text(format!(
"Generated using <a href=\"https://docs.rs/ellip/latest/ellip/legendre/fn.ellipdinc.html\" target=\"_blank\">ellipdinc</a> from <a href=\"https://crates.io/crates/ellip\" target=\"_blank\">ellip</a> v{}",
ellip_version()
))
.x_ref("paper")
.y_ref("paper")
.y(-0.15)
.x(1.08)
.show_arrow(false)]),
);
make_html!(plot, "ellipdinc.html");
write_svg!(plot, "ellipdinc.svg", 1000, 600, 1.0);
Ok(())
}