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chart.arr
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provide {
render-chart: render-chart,
render-charts: render-charts,
from-list: from-list,
} end
provide-types {
DataSeries :: DataSeries,
ChartWindow :: ChartWindow,
}
import global as G
import base as B
include lists
include option
import image-structs as I
import internal-image-untyped as IM
import sets as S
import chart-lib as P
import either as E
import string-dict as SD
import valueskeleton as VS
import statistics as ST
################################################################################
# CONSTANTS
################################################################################
SHOW-LENGTH = 3
FUNCTION-POINT-SIZE = 0.1
DEFAULT-RANGE = {-10; 10}
################################################################################
# TYPE SYNONYMS
################################################################################
type PlottableFunction = (Number -> Number)
type Posn = RawArray<Number>
type TableIntern = RawArray<RawArray<Any>>
################################################################################
# HELPERS
################################################################################
fun check-num(v :: Number) -> Nothing: nothing end
fun check-string(v :: String) -> Nothing: nothing end
fun check-image(v :: IM.Image) -> Nothing: nothing end
fst = raw-array-get(_, 0)
snd = raw-array-get(_, 1)
posn = {(x :: Number, y :: Number): [raw-array: x, y]}
sprintf = (lam():
generic-sprintf = lam(arr :: RawArray<Any>):
raw-array-fold(lam(str, elt, _): str + tostring(elt) end, '', arr, 0)
end
{
make5: {(a, b, c, d, e): generic-sprintf([raw-array: a, b, c, d, e])},
make4: {(a, b, c, d): generic-sprintf([raw-array: a, b, c, d])},
make3: {(a, b, c): generic-sprintf([raw-array: a, b, c])},
make2: {(a, b): generic-sprintf([raw-array: a, b])},
make1: tostring,
make0: {(): ''},
make: generic-sprintf
}
end)()
unsafe-equal = {(x :: Number, y :: Number): (x <= y) and (y <= x)}
fun to-table2(xs :: List<Any>, ys :: List<Any>) -> TableIntern:
map2({(x, y): [raw-array: x, y]}, xs, ys) ^ builtins.raw-array-from-list
end
fun to-table3(xs :: List<Any>, ys :: List<Any>, zs :: List<Any>) -> TableIntern:
map3({(x, y, z): [raw-array: x, y, z]}, xs, ys, zs) ^ builtins.raw-array-from-list
end
fun get-vs-from-img(s :: String, raw-img :: IM.Image) -> VS.ValueSkeleton:
I.color(190, 190, 190, 0.75)
^ IM.text-font(s, 72, _, "", "modern", "normal", "bold", false)
^ IM.overlay-align("center", "bottom", _, raw-img)
^ VS.vs-value
end
################################################################################
# METHODS
################################################################################
color-method = method(self, color :: I.Color):
self.constr()(self.obj.{color: some(color)})
end
legend-method = method(self, legend :: String):
self.constr()(self.obj.{legend: legend})
end
x-axis-method = method(self, x-axis :: String):
self.constr()(self.obj.{x-axis: x-axis})
end
y-axis-method = method(self, y-axis :: String):
self.constr()(self.obj.{y-axis: y-axis})
end
x-min-method = method(self, x-min :: Number):
self.constr()(self.obj.{x-min: some(x-min)})
end
x-max-method = method(self, x-max :: Number):
self.constr()(self.obj.{x-max: some(x-max)})
end
y-min-method = method(self, y-min :: Number):
self.constr()(self.obj.{y-min: some(y-min)})
end
y-max-method = method(self, y-max :: Number):
self.constr()(self.obj.{y-max: some(y-max)})
end
################################################################################
# BOUNDING BOX
################################################################################
type BoundingBox = {
x-min :: Number,
x-max :: Number,
y-min :: Number,
y-max :: Number,
is-valid :: Boolean
}
default-bounding-box :: BoundingBox = {
x-min: 0,
x-max: 0,
y-min: 0,
y-max: 0,
is-valid: false,
}
fun get-bounding-box(ps :: List<Posn>) -> BoundingBox:
cases (List<Number>) ps:
| empty => default-bounding-box.{is-valid: false}
| link(f, r) =>
fun compute(p :: (Number, Number -> Number), accessor :: (Posn -> Number)):
for fold(prev from accessor(f), e from r): p(prev, accessor(e)) end
end
default-bounding-box.{
x-min: compute(num-min, fst),
x-max: compute(num-max, fst),
y-min: compute(num-min, snd),
y-max: compute(num-max, snd),
is-valid: true,
}
end
end
fun merge-bounding-box(bs :: List<BoundingBox>) -> BoundingBox:
for fold(prev from default-bounding-box, e from bs):
ask:
| e.is-valid and prev.is-valid then:
default-bounding-box.{
x-min: num-min(e.x-min, prev.x-min),
x-max: num-max(e.x-max, prev.x-max),
y-min: num-min(e.y-min, prev.y-min),
y-max: num-max(e.y-max, prev.y-max),
is-valid: true,
}
| e.is-valid then: e
| prev.is-valid then: prev
| otherwise: default-bounding-box
end
end
end
################################################################################
# DEFAULT VALUES
################################################################################
type BoxChartSeries = {
tab :: TableIntern,
height :: Number,
horizontal :: Boolean
}
default-box-plot-series = {
horizontal: false,
show-outliers: true
}
type PieChartSeries = {
tab :: TableIntern,
}
default-pie-chart-series = {}
type BarChartSeries = {
tab :: TableIntern,
legends :: RawArray<String>,
has-legend :: Boolean,
}
default-bar-chart-series = {}
type HistogramSeries = {
tab :: TableIntern,
bin-width :: Option<Number>,
max-num-bins :: Option<Number>,
min-num-bins :: Option<Number>,
}
default-histogram-series = {
bin-width: none,
max-num-bins: none,
min-num-bins: none,
}
type LinePlotSeries = {
ps :: List<Posn>,
color :: Option<I.Color>,
legend :: String,
}
default-line-plot-series = {
color: none,
legend: '',
}
type ScatterPlotSeries = {
ps :: List<Posn>,
color :: Option<I.Color>,
legend :: String,
point-size :: Number,
}
default-scatter-plot-series = {
color: none,
legend: '',
point-size: 7,
}
type FunctionPlotSeries = {
f :: PlottableFunction,
color :: Option<I.Color>,
legend :: String,
}
default-function-plot-series = {
color: none,
legend: '',
}
type GeoChartSeries = {
tab :: TableIntern,
}
default-geochart-series = {}
###########
type ChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image)
}
default-chart-window-object :: ChartWindowObject = {
title: '',
width: 800,
height: 600,
method render(self): raise('unimplemented') end,
}
type BoxChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
x-axis :: String,
y-axis :: String,
render :: ( -> IM.Image),
}
default-box-plot-chart-window-object :: BoxChartWindowObject = default-chart-window-object.{
x-axis: '',
y-axis: '',
}
type PieChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image),
}
default-pie-chart-window-object :: PieChartWindowObject = default-chart-window-object
type BarChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image),
x-axis :: String,
y-axis :: String,
y-min :: Option<Number>,
y-max :: Option<Number>,
}
default-bar-chart-window-object :: BarChartWindowObject = default-chart-window-object.{
x-axis: '',
y-axis: '',
y-min: none,
y-max: none,
}
type HistogramChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image),
x-axis :: String,
y-axis :: String,
x-min :: Option<Number>,
x-max :: Option<Number>,
y-max :: Option<Number>,
}
default-histogram-chart-window-object :: HistogramChartWindowObject =
default-chart-window-object.{
x-axis: '',
y-axis: '',
x-min: none,
x-max: none,
y-max: none,
}
type PlotChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image),
x-axis :: String,
y-axis :: String,
x-min :: Option<Number>,
x-max :: Option<Number>,
x-max :: Option<Number>,
y-max :: Option<Number>,
num-samples :: Number,
}
default-plot-chart-window-object :: PlotChartWindowObject = default-chart-window-object.{
x-axis: '',
y-axis: '',
x-min: none,
x-max: none,
y-min: none,
y-max: none,
num-samples: 1000,
}
type GeoChartWindowObject = {
title :: String,
width :: Number,
height :: Number,
render :: ( -> IM.Image),
}
default-geo-chart-window-object :: GeoChartWindowObject = default-chart-window-object
################################################################################
# DATA DEFINITIONS
################################################################################
data DataSeries:
| line-plot-series(obj :: LinePlotSeries) with:
is-single: false,
constr: {(): line-plot-series},
color: color-method,
legend: legend-method,
| scatter-plot-series(obj :: ScatterPlotSeries) with:
is-single: false,
constr: {(): scatter-plot-series},
color: color-method,
legend: legend-method,
method point-size(self, point-size :: Number):
scatter-plot-series(self.obj.{point-size: point-size})
end,
| function-plot-series(obj :: FunctionPlotSeries) with:
is-single: false,
constr: {(): function-plot-series},
color: color-method,
legend: legend-method,
| pie-chart-series(obj :: PieChartSeries) with:
is-single: true,
constr: {(): pie-chart-series},
| bar-chart-series(obj :: BarChartSeries) with:
is-single: true,
constr: {(): bar-chart-series},
| box-plot-series(obj :: BoxChartSeries) with:
is-single: true,
constr: {(): box-plot-series},
method horizontal(self, h):
self.constr()(self.obj.{horizontal: h})
end,
method show-outliers(self, show):
self.constr()(self.obj.{show-outliers: show})
end
| histogram-series(obj :: HistogramSeries) with:
is-single: true,
constr: {(): histogram-series},
method bin-width(self, bin-width :: Number):
histogram-series(self.obj.{bin-width: some(bin-width)})
end,
method max-num-bins(self, max-num-bins :: Number):
histogram-series(self.obj.{max-num-bins: some(max-num-bins)})
end,
method min-num-bins(self, min-num-bins :: Number):
histogram-series(self.obj.{min-num-bins: some(min-num-bins)})
end,
method num-bins(self, num-bins :: Number):
histogram-series(self.obj.{
min-num-bins: some(num-bins),
max-num-bins: some(num-bins)
})
end
| geochart-series(obj :: GeoChartSeries) with:
is-single: true,
contr: {(): geochart-series},
sharing:
method _output(self):
get-vs-from-img("DataSeries", render-chart(self).get-image())
end
end
fun check-chart-window(p :: ChartWindowObject) -> Nothing:
if (p.width <= 0) or (p.height <= 0):
raise('render: width and height must be positive')
else:
nothing
end
end
data ChartWindow:
| pie-chart-window(obj :: PieChartWindowObject) with:
constr: {(): pie-chart-window},
| box-plot-chart-window(obj :: BoxChartWindowObject) with:
constr: {(): box-plot-chart-window},
x-axis: x-axis-method,
y-axis: y-axis-method,
| bar-chart-window(obj :: BarChartWindowObject) with:
constr: {(): bar-chart-window},
x-axis: x-axis-method,
y-axis: y-axis-method,
y-min: y-min-method,
y-max: y-max-method,
| histogram-chart-window(obj :: HistogramChartWindowObject) with:
constr: {(): histogram-chart-window},
x-axis: x-axis-method,
y-axis: y-axis-method,
x-min: x-min-method,
x-max: x-max-method,
y-max: y-max-method,
| plot-chart-window(obj :: PlotChartWindowObject) with:
constr: {(): plot-chart-window},
x-axis: x-axis-method,
y-axis: y-axis-method,
x-min: x-min-method,
x-max: x-max-method,
y-min: y-min-method,
y-max: y-max-method,
method num-samples(self, num-samples :: Number) block:
when (num-samples <= 0) or (num-samples > 100000) or not(num-is-integer(num-samples)):
raise('num-samples: value must be an ineger between 1 and 100000')
end
plot-chart-window(self.obj.{num-samples: num-samples})
end
| geochart-window(obj :: GeoChartWindowObject) with:
constr: {(): geochart-window},
sharing:
method display(self):
_ = check-chart-window(self.obj)
self.obj.{interact: true}.render()
end,
method get-image(self):
_ = check-chart-window(self.obj)
self.obj.{interact: false}.render()
end,
method title(self, title :: String):
self.constr()(self.obj.{title: title})
end,
method width(self, width :: Number):
self.constr()(self.obj.{width: width})
end,
method height(self, height :: Number):
self.constr()(self.obj.{height: height})
end,
method _output(self):
get-vs-from-img("ChartWindow", self.get-image())
end
end
################################################################################
# FUNCTIONS
################################################################################
fun function-plot-from-list(f :: PlottableFunction) -> DataSeries:
default-function-plot-series.{
f: f,
} ^ function-plot-series
end
fun line-plot-from-list(xs :: List<Number>, ys :: List<Number>) -> DataSeries block:
when xs.length() <> ys.length():
raise('line-plot: xs and ys should have the same length')
end
xs.each(check-num)
ys.each(check-num)
default-line-plot-series.{
ps: map2({(x, y): [raw-array: x, y]}, xs, ys)
} ^ line-plot-series
end
fun scatter-plot-from-list(xs :: List<Number>, ys :: List<Number>) -> DataSeries block:
when xs.length() <> ys.length():
raise('scatter-plot: xs and ys should have the same length')
end
xs.each(check-num)
ys.each(check-num)
default-scatter-plot-series.{
ps: map4({(x, y, z, img): [raw-array: x, y, z, img]}, xs, ys, xs.map({(_): ''}), xs.map({(_): false}))
} ^ scatter-plot-series
end
fun labeled-scatter-plot-from-list(
labels :: List<String>,
xs :: List<Number>,
ys :: List<Number>) -> DataSeries block:
when xs.length() <> ys.length():
raise('labeled-scatter-plot: xs and ys should have the same length')
end
when xs.length() <> labels.length():
raise('labeled-scatter-plot: xs and labels should have the same length')
end
xs.each(check-num)
ys.each(check-num)
labels.each(check-string)
default-scatter-plot-series.{
ps: map4({(x, y, z, img): [raw-array: x, y, z, img]}, xs, ys, labels, xs.map({(_): false}))
} ^ scatter-plot-series
end
fun image-scatter-plot-from-list(
images :: List<IM.Image>,
xs :: List<Number>,
ys :: List<Number>) -> DataSeries block:
when xs.length() <> ys.length():
raise('labeled-scatter-plot: xs and ys should have the same length')
end
when xs.length() <> images.length():
raise('labeled-scatter-plot: xs and images should have the same length')
end
xs.each(check-num)
ys.each(check-num)
images.each(check-image)
default-scatter-plot-series.{
ps: map4({(x, y, z, img): [raw-array: x, y, z, img]}, xs, ys, xs.map({(_): ''}), images)
} ^ scatter-plot-series
end
fun exploding-pie-chart-from-list(
labels :: List<String>,
values :: List<Number>,
offsets :: List<Number>
) -> DataSeries block:
label-length = labels.length()
value-length = values.length()
when label-length <> value-length:
raise('exploding-pie-chart: labels and values should have the same length')
end
offset-length = offsets.length()
when label-length <> offset-length:
raise('exploding-pie-chart: labels and offsets should have the same length')
end
when label-length == 0:
raise('exploding-pie-chart: need at least one data')
end
for each(offset from offsets):
when (offset < 0) or (offset > 1):
raise('exploding-pie-chart: offset must be between 0 and 1')
end
end
values.each(check-num)
offsets.each(check-num)
labels.each(check-string)
default-pie-chart-series.{
tab: to-table3(labels, values, offsets)
} ^ pie-chart-series
end
fun pie-chart-from-list(labels :: List<String>, values :: List<Number>) -> DataSeries block:
doc: ```
Consume labels, a list of string, and values, a list of numbers
and construct a pie chart
```
label-length = labels.length()
value-length = values.length()
when label-length <> value-length:
raise('pie-chart: labels and values should have the same length')
end
when label-length == 0:
raise('pie-chart: need at least one data')
end
values.each(check-num)
labels.each(check-string)
default-pie-chart-series.{
tab: to-table3(labels, values, labels.map({(_): 0}))
} ^ pie-chart-series
end
fun bar-chart-from-list(labels :: List<String>, values :: List<Number>) -> DataSeries block:
doc: ```
Consume labels, a list of string, and values, a list of numbers
and construct a bar chart
```
label-length = labels.length()
value-length = values.length()
when label-length <> value-length:
raise('bar-chart: labels and values should have the same length')
end
values.each(check-num)
labels.each(check-string)
value-lists = values.map({(v): [list: v]})
default-bar-chart-series.{
tab: to-table2(labels, value-lists.map(builtins.raw-array-from-list)),
legends: [raw-array: ''],
has-legend: false,
} ^ bar-chart-series
end
fun grouped-bar-chart-from-list(
labels :: List<String>,
value-lists :: List<List<Number>>,
legends :: List<String>
) -> DataSeries block:
label-length = labels.length()
value-length = value-lists.length()
when label-length == 0:
raise("grouped-bar-chart: can't have empty data")
end
when label-length <> value-length:
raise('grouped-bar-chart: labels and values should have the same length')
end
when legends.length() <> value-lists.first.length():
raise('grouped-bar-chart: labels and legends should have the same length')
end
value-lists.each(_.each(check-num))
labels.each(check-string)
legends.each(check-string)
default-bar-chart-series.{
tab: to-table2(labels, value-lists.map(builtins.raw-array-from-list)),
legends: legends ^ builtins.raw-array-from-list,
has-legend: true,
} ^ bar-chart-series
end
fun box-plot-from-list(values :: List<List<Number>>) -> DataSeries:
doc: "Consume values, a list of list of numbers and construct a box chart"
labels = for map_n(i from 1, _ from values): [sprintf: 'Box ', i] end
labeled-box-plot-from-list(labels, values)
end
fun labeled-box-plot-from-list(
labels :: List<String>,
values :: List<List<Number>>
) -> DataSeries block:
doc: ```
Consume labels, a list of string, and values, a list of list of numbers
and construct a box chart
```
label-length = labels.length()
value-length = values.length()
when label-length <> value-length:
raise('labeled-box-plot: labels and values should have the same length')
end
when label-length == 0:
raise('labeled-box-plot: expect at least one box')
end
values.each(_.each(check-num))
values.each(
lam(lst):
when lst.length() <= 1:
raise('labeled-box-plot: the list length should be at least 2')
end
end)
labels.each(check-string)
max-height = for fold(cur from values.first.first, lst from values):
num-max(lst.rest.foldl(num-max, lst.first), cur)
end
min-height = for fold(cur from values.first.first, lst from values):
num-max(lst.rest.foldl(num-min, lst.first), cur)
end
fun get-box-data(label :: String, lst :: List<Number>) -> RawArray:
n = lst.length()
shadow lst = lst.sort()
median = ST.median(lst)
{first-quartile; third-quartile} = if num-modulo(n, 2) == 0:
splitted = lst.split-at(n / 2)
{ST.median(splitted.prefix); ST.median(splitted.suffix)}
else:
splitted = lst.split-at((n - 1) / 2)
{ST.median(splitted.prefix); ST.median(splitted.suffix.rest)}
end
iqr = third-quartile - first-quartile
high-outliers = for filter(shadow n from lst):
n > (third-quartile + (1.5 * iqr))
end ^ builtins.raw-array-from-list
low-outliers = for filter(shadow n from lst):
n < (third-quartile - (1.5 * iqr))
end ^ builtins.raw-array-from-list
min-val = lst.first
max-val = lst.last()
low-whisker = lst.drop(raw-array-length(low-outliers)).get(0)
high-whisker = lst.get(n - raw-array-length(high-outliers) - 1)
[list: label, max-val, min-val, first-quartile, median, third-quartile, high-whisker, low-whisker, high-outliers, low-outliers]
^ builtins.raw-array-from-list
end
default-box-plot-series.{
tab: map2(get-box-data, labels, values) ^ builtins.raw-array-from-list,
height: num-ceiling(max-height + ((max-height - min-height) / 5)),
} ^ box-plot-series
end
fun freq-bar-chart-from-list(label :: List<String>) -> DataSeries:
dict = for fold(prev from [SD.string-dict: ], e from label):
prev.set(e, prev.get(e).or-else(0) + 1)
end
{ls; vs; _} = for fold({ls; vs; seen} from {empty; empty; S.empty-tree-set},
e from label):
if seen.member(e):
{ls; vs; seen}
else:
{link(e, ls); link(dict.get-value(e), vs); seen.add(e)}
end
end
bar-chart-from-list(ls.reverse(), vs.reverse())
end
fun histogram-from-list(values :: List<Number>) -> DataSeries block:
doc: ```
Consume a list of numbers and construct a histogram
```
values.each(check-num)
default-histogram-series.{
tab: to-table2(values.map({(_): ''}), values),
} ^ histogram-series
end
fun labeled-histogram-from-list(labels :: List<String>, values :: List<Number>) -> DataSeries block:
doc: ```
Consume a list of strings and a list of numbers and construct a histogram
```
label-length = labels.length()
value-length = values.length()
when label-length <> value-length:
raise('labeled-histogram: labels and values should have the same length')
end
values.each(check-num)
labels.each(check-string)
default-histogram-series.{
tab: to-table2(labels, values),
} ^ histogram-series
end
fun geochart-from-list(
region-labels :: List<String>,
values :: List<Number>) -> DataSeries block:
region-length = region-labels.length()
values-length = values.length()
when region-length <> values-length:
raise("geochart: region-labels and values should have the same length")
end
values.each(check-num)
region-labels.each(check-string)
default-geochart-series.{
tab: to-table2(region-labels, values)
} ^ geochart-series
end
################################################################################
# PLOTS
################################################################################
fun check-render-x-axis(self) -> Nothing:
cases (Option) self.x-min:
| some(x-min) =>
cases (Option) self.x-max:
| some(x-max) =>
if x-min >= x-max:
raise("render: x-min must be strictly less than x-max")
else:
nothing
end
| else => nothing
end
| else => nothing
end
end
fun check-render-y-axis(self) -> Nothing:
cases (Option) self.y-min:
| some(y-min) =>
cases (Option) self.y-max:
| some(y-max) =>
if y-min >= y-max:
raise("render: y-min must be strictly less than y-max")
else:
nothing
end
| else => nothing
end
| else => nothing
end
end
fun render-chart(s :: DataSeries) -> ChartWindow:
doc: 'Render it!'
cases (DataSeries) s:
| line-plot-series(_) => render-charts([list: s])
| function-plot-series(_) => render-charts([list: s])
| scatter-plot-series(_) => render-charts([list: s])
| pie-chart-series(obj) =>
default-pie-chart-window-object.{
method render(self): P.pie-chart(self, obj) end
} ^ pie-chart-window
| bar-chart-series(obj) =>
default-bar-chart-window-object.{
method render(self):
_ = check-render-y-axis(self)
P.bar-chart(self, obj)
end
} ^ bar-chart-window
| box-plot-series(obj) =>
default-box-plot-chart-window-object.{
method render(self):
P.box-plot(self, obj)
end
} ^ box-plot-chart-window
| histogram-series(obj) =>
default-histogram-chart-window-object.{
method render(self):
shadow self = self.{y-min: none}
_ = check-render-x-axis(self)
_ = check-render-y-axis(self)
P.histogram(self, obj)
end
} ^ histogram-chart-window
|geochart-series(obj) =>
default-geo-chart-window-object.{
method render(self):
P.geo-map(self, obj) end
} ^ geochart-window
end
where:
render-now = {(x): render-chart(x).get-image()}
render-now(from-list.exploding-pie-chart(
[list: 'asd', 'dsa', 'qwe'],
[list: 1, 2, 3],
[list: 0, 0.1, 0.2])) does-not-raise
render-now(from-list.pie-chart([list: 'asd', 'dsa', 'qwe'], [list: 1, 2, 3])) does-not-raise
render-now(from-list.histogram([list: 1, 1.2, 2, 3, 10, 3, 6, -1])) does-not-raise
render-now(from-list.labeled-histogram(
[list: 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h'],
[list: 1, 1.2, 2, 3, 10, 3, 6, -1])) does-not-raise
render-now(from-list.grouped-bar-chart(
[list: 'CA', 'TX', 'NY', 'FL', 'IL', 'PA'],
[list:
[list: 2704659,4499890,2159981,3853788,10604510,8819342,4114496],
[list: 2027307,3277946,1420518,2454721,7017731,5656528,2472223],
[list: 1208495,2141490,1058031,1999120,5355235,5120254,2607672],
[list: 1140516,1938695,925060,1607297,4782119,4746856,3187797],
[list: 894368,1558919,725973,1311479,3596343,3239173,1575308],
[list: 737462,1345341,679201,1203944,3157759,3414001,1910571]],
[list:
'Under 5 Years',
'5 to 13 Years',
'14 to 17 Years',
'18 to 24 Years',
'25 to 44 Years',
'45 to 64 Years',
'65 Years and Over'])) does-not-raise
render-now(from-list.function-plot(num-sin)) does-not-raise
render-now(from-list.scatter-plot(
[list: 1, 1, 4, 7, 4, 2],
[list: 2, 3.1, 1, 3, 6, 5])) does-not-raise
render-now(from-list.line-plot(
[list: 1, 1, 4, 7, 4, 2],
[list: 2, 3.1, 1, 3, 6, 5])) does-not-raise
render-now(from-list.box-plot(
[list: [list: 1, 2, 3, 4], [list: 1, 2, 3, 4, 5], [list: 10, 11]]
)) does-not-raise
end
fun generate-xy(
p :: FunctionPlotSeries,
x-min :: Number,
x-max :: Number,
num-samples :: Number) -> ScatterPlotSeries:
doc: 'Generate a scatter-plot from an function-plot'
fraction = (x-max - x-min) / (num-samples - 1)
ps = for filter-map(i from range(0, num-samples)):
x = x-min + (fraction * i)
cases (E.Either) run-task({(): p.f(x)}):
| left(y) => some([raw-array: x, y])
| right(_) => none
end
end
default-scatter-plot-series.{
ps: ps,
point-size: FUNCTION-POINT-SIZE,
color: p.color,
legend: p.legend,
}
where:
generate-xy(from-list.function-plot(_ + 1).obj, 0, 100, 6).ps
is=~ [list:
posn(0, 1),
posn(20, 21),
posn(40, 41),
posn(60, 61),
posn(80, 81),
posn(100, 101) # out of bound, will be filtered later
]
end
fun widen-range(min :: Number, max :: Number) -> {Number; Number}:
offset = num-min((max - min) / 40, 1)
shadow offset = if unsafe-equal(offset, 0): 1 else: offset end
{min - offset; max + offset}
end
fun ps-to-arr(obj): obj.{ps: obj.ps ^ builtins.raw-array-from-list} end
fun in-bound-x(p :: Posn, self) -> Boolean:
(self.x-min.value <= fst(p)) and (fst(p) <= self.x-max.value)
end
fun in-bound-y(p :: Posn, self) -> Boolean:
(self.y-min.value <= snd(p)) and (snd(p) <= self.y-max.value)
end
fun in-bound-xy(p :: Posn, self) -> Boolean:
in-bound-x(p, self) and in-bound-y(p, self)
end
fun dist(a :: Posn, b :: Posn) -> Number:
num-sqr(fst(a) - fst(b)) + num-sqr(snd(a) - snd(b))
end
fun nearest(lst :: List<Posn>, p :: Posn) -> Option<Posn>:
cases (List<Posn>) lst:
| empty => none
| link(f, r) =>
{_; sol} = for fold({best; sol} from {dist(p, f); f}, e from lst):
new-dist = dist(p, e)
if new-dist < best:
{new-dist; e}
else:
{best; sol}
end
end
some(sol)
end
end
fun find-pt-on-edge(in :: Posn, out :: Posn, self) -> Option<Posn>:
px-max = num-min(num-max(fst(in), fst(out)), self.x-max.value)
px-min = num-max(num-min(fst(in), fst(out)), self.x-min.value)
py-max = num-min(num-max(snd(in), snd(out)), self.y-max.value)
py-min = num-max(num-min(snd(in), snd(out)), self.y-min.value)
candidates = if unsafe-equal(fst(in), fst(out)):
[list: posn(fst(in), self.y-min.value), posn(fst(in), self.y-max.value)]
else:
#|
y = m * x + c [3]
y2 = m * x2 + c [3.1]
y - y2 = m * (x - x2) [5] [by 3 - 3.1]
m = (y - y2) / (x - x2) [1] [rewrite 5]
c = y - m * x [2] [rewrite 3]
x = (y - c) / m [4] [rewrite 3]
|#
m = (snd(in) - snd(out)) / (fst(in) - fst(out)) # [1]
c = snd(in) - (m * fst(in)) # [2]