Struct Uniform

pub struct Uniform<F> { /* private fields */ }

Options for uniform sampling graphs of function ℝ → ℝ. See Sampling::uniform.

Implementations

impl<F> Uniform<F>

where F: FnMut(f64) -> f64,

pub fn n(self, n: usize) -> Self

Set the maximum number of evaluations of the function to build the sampling. Panic if n < 2.

Examples found in repository

examples/latex_speed.rs (line 16)

fn main() -> Result<(), Box<dyn Error>> {
    let path = "/tmp/latex_speed.tex";
    let mut fh = File::create(path)?;
    write!(fh, "\\documentclass[12pt,a4paper]{{article}}\n\
                \\usepackage{{tikz}}\n\
                \\begin{{document}}\n\
                \\begin{{tikzpicture}}\n")?;
    let n = 40_000;
    println!("Run \"latex {}\" measure LaTeX speed with {} points.\n",
             path, n);
    let s = Sampling::uniform(f64::sin, -6., 6.).n(n).build();
    s.latex().write(&mut fh)?;
    write!(fh, "\\end{{tikzpicture}}\n\
                \\end{{document}}")?;
    Ok(())
}

pub fn viewport(self, vp: BoundingBox) -> Self

Set the zone of interest for the sampling. Segments that end up outside this box will not be refined.

pub fn init<'a, I>(self, ts: I) -> Self

where I: IntoIterator<Item = &'a f64>,

Add initial values of t such that f(t) (see [Sampling :: uniform]) must be included into the sampling in addition to the n evaluations. Only the values between a and b are taken into account (other values are ignored).

pub fn init_pt<'a, I>(self, pts: I) -> Self

where I: IntoIterator<Item = &'a (f64, f64)>,

Add initial points (t, f(t)) to include into the sampling in addition to the n evaluations. This allows you to use previous evaluations of f. Only the couples with first coordinate t between a and b (see [Sampling :: uniform]) are considered (other values are ignored).

impl<F> Uniform<F>

where F: FnMut(f64) -> f64,

pub fn build(self) -> Sampling

Return a uniform sampling of the function.

Examples found in repository

examples/latex_speed.rs (line 16)

fn main() -> Result<(), Box<dyn Error>> {
    let path = "/tmp/latex_speed.tex";
    let mut fh = File::create(path)?;
    write!(fh, "\\documentclass[12pt,a4paper]{{article}}\n\
                \\usepackage{{tikz}}\n\
                \\begin{{document}}\n\
                \\begin{{tikzpicture}}\n")?;
    let n = 40_000;
    println!("Run \"latex {}\" measure LaTeX speed with {} points.\n",
             path, n);
    let s = Sampling::uniform(f64::sin, -6., 6.).n(n).build();
    s.latex().write(&mut fh)?;
    write!(fh, "\\end{{tikzpicture}}\n\
                \\end{{document}}")?;
    Ok(())
}

examples/arrows.rs (line 13)

fn main() -> Result<(), Box<dyn Error>> {
    let s = Sampling::from_iter([[0., 0.], [1., 1.], [NAN, NAN],
                                 [1., 1.], [3., -1.]]);
    s.latex().arrow_pos(0.3).write(&mut File::create("/tmp/arrow0.tex")?)?;

    let s = Sampling::uniform(|x| -0.7 * (x - 1.).powi(2), 0., 2.5).build();
    s.latex().arrow_pos(0.6).write(&mut File::create("/tmp/arrow1.tex")?)?;


    File::create("/tmp/arrows.tex")?.write_all(
        r"\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[x=3cm, y=3cm]
  \draw[->] (-1.2, 0) -- (3.2, 0);
  \draw[->] (0, -1.2) -- (0, 1.7);
  \foreach \x in {-1, -0.5, 0.5, 1, 1.5,..., 3}{
    \draw (\x, 3pt) -- (\x, -3pt) node[below]{$\scriptstyle \x$};
  }
  \foreach \y in {-1, -0.5, 0.5, 1, 1.5}{
    \draw (3pt, \y) -- (-3pt, \y) node[left]{$\scriptstyle \y$};
  }
  \begin{scope}[color=blue, line width=1pt]
    \input{arrow0.tex}
  \end{scope}
  \begin{scope}[color=orange, line width=1pt]
    \input{arrow1.tex}
  \end{scope}
\end{tikzpicture}
\end{document}".as_bytes())?;

    std::env::set_current_dir("/tmp")?;
    Command::new("pdflatex")
        .args(["-interaction=batchmode", "arrows.tex"]).output()?;
    Ok(())
}