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#import "elements/anchor.typ": anchor | ||
#import "elements/xy.typ": xy | ||
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// Continuous Continuous | ||
#import "elements/xy.typ": xy | ||
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// Categorical Continuous | ||
#import "elements/violin.typ": violin |
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#import "/src/cetz.typ": draw | ||
#import "/src/plot/sample.typ" | ||
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#let kernel-normal(x, stdev: 1.5) = { | ||
(1/calc.sqrt(2*calc.pi*calc.pow(stdev,2))) * calc.exp( - (x*x)/(2*calc.pow(stdev,2))) | ||
} | ||
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#let _violin-render(self, ctx, violin, filling: true) = { | ||
let path = range(self.samples) | ||
.map((t)=>violin.min + (violin.max - violin.min) * (t /self.samples )) | ||
.map((u)=>(u, (violin.convolve)(u))) | ||
.map(((u,v)) => { | ||
(violin.x-position + v, u) | ||
}) | ||
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if self.side == "both"{ | ||
path += path.rev().map(((x,y))=> {(2 * violin.x-position - x,y)}) | ||
} else if self.side == "left"{ | ||
path = path.map( ((x,y))=>{(2 * violin.x-position - x,y)}) | ||
} | ||
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let (x, y) = (ctx.x, ctx.y) | ||
let stroke-paths = ctx.compute-stroke-paths(path, (x.min, y.min), (x.max, y.max)) | ||
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for p in stroke-paths{ | ||
let args = arguments(..p, closed: self.side == "both") | ||
if filling { | ||
args = arguments(..args, stroke: none) | ||
} else { | ||
args = arguments(..args, fill: none) | ||
} | ||
draw.line(..self.style, ..args) | ||
} | ||
} | ||
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#let _plot-prepare(self, ctx) = { | ||
self.violins = self.data.map(entry=> { | ||
let points = entry.at(self.y-key) | ||
let (min, max) = (calc.min(..points), calc.max(..points)) | ||
let range = calc.abs(max - min) | ||
( | ||
x-position: entry.at(self.x-key), | ||
points: points, | ||
length: points.len(), | ||
min: min - (self.extents * range), | ||
max: max + (self.extents * range), | ||
convolve: (t) => { | ||
points.map((y)=>(self.kernel)((y - t)/self.bandwidth)).sum() / (points.len() * self.bandwidth) | ||
} | ||
) | ||
}) | ||
return self | ||
} | ||
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#let _plot-stroke(self, ctx) = { | ||
for violin in self.violins { | ||
_violin-render(self, ctx, violin, filling: false) | ||
} | ||
} | ||
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#let _plot-fill(self, ctx) = { | ||
for violin in self.violins { | ||
_violin-render(self, ctx, violin, filling: true) | ||
} | ||
} | ||
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#let _plot-legend-preview(self) = { | ||
draw.rect((0,0), (1,1), ..self.style) | ||
} | ||
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/// Add a violin plot | ||
/// | ||
/// A violin plot is a chart that can be used to compare the distribution of continuous | ||
/// data between categories. | ||
/// | ||
/// - data (array): Array of data items. An item is an array containing an `x` and one | ||
/// or more `y` values. | ||
/// - x-key (int, string): Key to use for retreiving the `x` position of the violin. | ||
/// - y-key (int, string): Key to use for retreiving values of points within the category. | ||
/// - side (string): The sides of the violin to be rendered: | ||
/// / left: Plot only the left side of the violin. | ||
/// / right: Plot only the right side of the violin. | ||
/// / both: Plot both sides of the violin. | ||
/// - kernel (function): The kernel density estimator function, which takes a single | ||
/// `x` value relative to the center of a distribution (0) and | ||
/// normalized by the bandwidth | ||
/// - bandwidth (float): The smoothing parameter of the kernel. | ||
/// - extents (float): The extension of the domain, expressed as a fraction of spread. | ||
/// - samples (int): The number of samples of the kernel to render. | ||
/// - style (dictionary): Style override dictionary. | ||
/// - mark-style (dictionary): (unused, will eventually be used to render interquartile ranges). | ||
/// - axes (axes): (unstable, documentation to follow once completed). | ||
/// - label (none, content): The name of the category to be shown in the legend. | ||
#let violin( | ||
data, | ||
x-key: 0, | ||
y-key: 1, | ||
side: "right", | ||
kernel: kernel-normal.with(stdev: 1.5), | ||
bandwidth: 1, | ||
extents: 0.25, | ||
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samples: 50, | ||
style: (:), | ||
mark-style: (:), | ||
axes: ("x", "y"), | ||
label: none, | ||
) = { | ||
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(( | ||
type: "violins", | ||
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data: data, | ||
x-key: x-key, | ||
y-key: y-key, | ||
side: side, | ||
kernel: kernel, | ||
bandwidth: bandwidth, | ||
extents: extents, | ||
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samples: samples, | ||
style: style, | ||
mark-style: mark-style, | ||
axes: axes, | ||
label: label, | ||
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plot-prepare: _plot-prepare, | ||
plot-stroke: _plot-stroke, | ||
plot-fill: _plot-fill, | ||
plot-legend-preview: _plot-legend-preview, | ||
),) | ||
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} |