@spec area(
  plotdata :: Tucan.plotdata(),
  r :: String.t(),
  theta :: String.t(),
  opts :: keyword()
) ::
  VegaLite.t()

Draws a filled area in polar coordinates.

r is the field with the radius and theta the field with the angle of each point. The points are connected in increasing order of theta and the shape is closed by connecting the last point to the first one. To fill the area between a curve and the origin, include a point with a zero radius at the start or the end of the curve.

The areas are not outlined by default, set :line_color to draw an outline.

See the module documentation for the coordinate conventions and the polar grid.

Options

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set.

• :angle_unit - The unit of the theta field values, one of :degrees or :radians. Ignored if :period is set. The default value is :degrees.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set.

• :interpolate (binary/0) - The line interpolation method to use for line and area marks. One of the following:

  • "linear" - piecewise linear segments, as in a poly-line.
  • "linear-closed" - close the linear segments to form a polygon.
  • "step" - alternate between horizontal and vertical segments, as in a step function.
  • "step-before" - alternate between vertical and horizontal segments, as in a step function.
  • "step-after" - alternate between horizontal and vertical segments, as in a step function.
  • "basis" - a B-spline, with control point duplication on the ends.
  • "basis-open" - an open B-spline; may not intersect the start or end.
  • "basis-closed" - a closed B-spline, as in a loop.
  • "cardinal" - a Cardinal spline, with control point duplication on the ends.
  • "cardinal-open" - an open Cardinal spline; may not intersect the start or end, but will intersect other control points.
  • "cardinal-closed" - a closed Cardinal spline, as in a loop.
  • "bundle" - equivalent to basis, except the tension parameter is used to straighten the spline.
  • "monotone" - cubic interpolation that preserves monotonicity in y.

  The default value is "linear-closed".

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :period (atom/0 or number/0) - Plots cyclic data, where a full turn corresponds to the given period. One of:

  • :day, :week or :year - the theta field is a date or datetime and a full turn corresponds to a day, a week starting on Monday, or a year.
  • a number - the theta field is a number and a full turn corresponds to the given value, e.g. 24 for the hours of a day.

  See the "Cyclic data" section of the module documentation for more details.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

• :tension (number/0) - Depending on the interpolation type, sets the tension parameter

Data Grouping Options

• :color_by (String.t/0) - If set a data field that will be used for coloring the data. It is considered :nominal by default.
• :group_by (String.t/0) - A field to group by the areas without affecting the style of it.

Styling Options

• :fill_color (String.t/0) - The fill color of the marks. This will override the color encoding if set.
• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 0.5.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :stroke_dash (list of pos_integer/0) - An array of alternating stroke, space lengths in pixels for creating dashed or dotted lines.
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

A cardioid, drawn with an outline:

theta = Enum.to_list(0..355//5)
r = Enum.map(theta, fn t -> 1 + :math.cos(t * :math.pi() / 180) end)

Tucan.Polar.area([r: r, theta: theta], "r", "theta",
  fill_color: "teal",
  line_color: "teal",
  stroke_width: 2
)

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sin(datum.__polar_angle)"}]},{"data":{"values":[{"label":"0°","x":2.2133333333,"y":0},{"label":"45°","x":1.565063009,"y":1.565063009},{"label":"90°","x":0,"y":2.2133333333},{"label":"135°","x":-1.565063009,"y":1.565063009},{"label":"180°","x":-2.2133333333,"y":0},{"label":"225°","x":-1.565063009,"y":-1.565063009},{"label":"270°","x":0,"y":-2.2133333333},{"label":"315°","x":1.565063009,"y":-1.565063009}]},"encoding":{"text":{"field":"label"},"x":{"axis":null,"field":"x","scale":{"domain":[-2,2],"nice":false,"zero":false},"type":"quantitative"},"y":{"axis":null,"field":"y","scale":{"domain":[-2,2],"nice":false,"zero":false},"type":"quantitative"}},"mark":{"align":"center","baseline":"middle","type":"text"},"name":"polar_angle_labels"},{"data":{"values":[{"label":"0.5","x":0.4619397663,"y":0.1913417162},{"label":"1","x":0.9238795325,"y":0.3826834324},{"label":"1.5","x":1.3858192988,"y":0.5740251485},{"label":"2","x":1.847759065,"y":0.7653668647}]},"encoding":{"text":{"field":"label"},"x":{"axis":null,"field":"x","scale":{"domain":[-2,2],"nice":false,"zero":false},"type":"quantitative"},"y":{"axis":null,"field":"y","scale":{"domain":[-2,2],"nice":false,"zero":false},"type":"quantitative"}},"mark":{"align":"center","baseline":"middle","fontSize":10,"opacity":0.8,"type":"text"},"name":"polar_radius_labels"}],"width":300}

Two overlapping shapes colored by a field. With a smooth closed interpolation the few points of each shape are connected with curves:

data =
  for {shape, radiuses} <- [a: [5, 1, 5, 1, 5, 1], b: [1, 4, 1, 4, 1, 4]],
      {r, i} <- Enum.with_index(radiuses) do
    %{shape: shape, r: r, theta: i * 60}
  end

Tucan.Polar.area(data, "r", "theta",
  color_by: "shape",
  interpolate: "cardinal-closed",
  angle_marks: [0, 60, 120, 180, 240, 300]
)

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@spec bar(
  plotdata :: Tucan.plotdata(),
  value :: String.t(),
  category :: String.t(),
  opts :: keyword()
) ::
  VegaLite.t()

Draws a polar bar chart.

Each category is drawn as a circular sector of the same angle and a radius equal to its value. This is also known as a Nightingale rose or coxcomb chart. Compared to Tucan.radial/4, where the angle of each wedge depends on its value, here the values are compared only through the radius.

The categories are placed at equal angles, starting at the top and going clockwise. If :color_by is set, the bars are stacked.

See the module documentation for more details on the polar grid.

Options

• :aggregate - The statistic used for aggregating the values of each category, and of each :color_by group if set. If not set each row is drawn as is.
• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set. The default value is 90.
• :categories (list of String.t/0) - The categories in the order they are drawn. If not set they are inferred from the data, in the order they first appear. This is possible only if the data are passed inline.
• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set. The default value is :clockwise.
• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.
• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

Data Grouping Options

• :color_by (String.t/0) - If set a data field used for coloring the bars. The bars of each category are stacked outwards, in the order of the colors in the legend.

Styling Options

• :fill_color (String.t/0) - The fill color of the marks. This will override the color encoding if set.
• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

The monthly rainfall of a city:

months = ~w(Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec)
rainfall = [120, 95, 80, 60, 45, 30, 20, 25, 50, 90, 130, 140]

data = Enum.zip_with(months, rainfall, fn month, mm -> %{month: month, rainfall: mm} end)

Tucan.Polar.bar(data, "rainfall", "month",
  fill_color: "steelblue",
  line_color: "white",
  tooltip: true
)

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Stacked bars, with the total yield of each barley variety, grouped by site:

Tucan.Polar.bar(:barley, "yield", "variety",
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@spec heatmap(
  plotdata :: Tucan.plotdata(),
  theta :: String.t(),
  r :: String.t(),
  color :: String.t() | nil,
  opts :: keyword()
) :: VegaLite.t()

Draws a polar heatmap.

The observations are binned by their angle, the theta field, and their radius, the r field, and each cell is colored by the aggregated values of the color field. If color is nil the cells are colored by the number of observations.

Radius values below zero or above the maximum radius are ignored.

See the module documentation for the coordinate conventions, cyclic data and the polar grid.

Options

• :aggregate - The statistic used for aggregating the values of the color field within each cell. Defaults to :mean. Ignored if color is nil.

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set.

• :angle_unit - The unit of the theta field values, one of :degrees or :radians. Ignored if :period is set. The default value is :degrees.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set.

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :period (atom/0 or number/0) - Plots cyclic data, where a full turn corresponds to the given period. One of:

  • :day, :week or :year - the theta field is a date or datetime and a full turn corresponds to a day, a week starting on Monday, or a year.
  • a number - the theta field is a number and a full turn corresponds to the given value, e.g. 24 for the hours of a day.

  See the "Cyclic data" section of the module documentation for more details.

• :radius_bins (pos_integer/0) - The number of equal radius bins. If not set the radius ticks of the grid are used as the bin limits, so that the grid circles are the edges of the cells.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

• :theta_bins (pos_integer/0) - The number of equal angle bins a full turn is split to. The default value is 24.

Styling Options

• :color_scheme (atom/0) - The color scheme to use, for supported color schemes check Tucan.Scale.
• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

The number of generated wind observations by direction and speed:

:rand.seed(:exsss, {1, 2, 3})

data =
  for _i <- 1..2000 do
    direction = 225 + 50 * :rand.normal()
    %{direction: direction, speed: abs(6 + 2.5 * :rand.normal())}
  end

Tucan.Polar.heatmap(data, "direction", "speed", nil,
  theta_bins: 36,
  radius_bins: 12,
  direction: :clockwise,
  angle_offset: 90,
  angle_labels: :compass,
  color_scheme: :viridis
)

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The activity of a website per hour of the day and day of the week, from Monday at the center to Sunday at the edge:

data =
  for day <- 0..6, hour <- 0..23 do
    weekend? = day >= 5
    peak = if weekend?, do: 15, else: 11
    activity = 100 * :math.exp(-:math.pow((hour - peak) / 4, 2)) * if(weekend?, do: 0.6, else: 1)

    %{day: day, hour: hour, activity: activity}
  end

Tucan.Polar.heatmap(data, "hour", "day", "activity",
  period: 24,
  radius_ticks: [1, 2, 3, 4, 5, 6, 7],
  color_scheme: :oranges,
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@spec histogram(plotdata :: Tucan.plotdata(), theta :: String.t(), opts :: keyword()) ::
  VegaLite.t()

Draws a circular histogram of the angles in the theta field.

A full turn is split in :bins equal sectors and the radius of each sector is the number of values in it. Circular histograms are useful for cyclic data, like directions or the times of a day, since values near the end of the cycle are next to values near its start.

See the module documentation for the coordinate conventions, cyclic data and the polar grid.

Options

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set.

• :angle_unit - The unit of the theta field values, one of :degrees or :radians. Ignored if :period is set. The default value is :degrees.

• :bins (pos_integer/0) - The number of equal angle bins a full turn is split to. The default value is 16.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set.

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :period (atom/0 or number/0) - Plots cyclic data, where a full turn corresponds to the given period. One of:

  • :day, :week or :year - the theta field is a date or datetime and a full turn corresponds to a day, a week starting on Monday, or a year.
  • a number - the theta field is a number and a full turn corresponds to the given value, e.g. 24 for the hours of a day.

  See the "Cyclic data" section of the module documentation for more details.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

• :relative (boolean/0) - If set the radius is the percentage of the values in each bin instead of their count. The default value is false.

Data Grouping Options

• :color_by (String.t/0) - If set a data field used for coloring the bars. The bars of each bin are stacked outwards, in the order of the colors in the legend.

Styling Options

• :fill_color (String.t/0) - The fill color of the marks. This will override the color encoding if set.
• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

The directions of 400 generated observations, mostly around 60 degrees and some around the opposite direction:

:rand.seed(:exsss, {1, 2, 3})

directions =
  for i <- 1..400 do
    60 + 25 * :rand.normal() + if(rem(i, 5) == 0, do: 180, else: 0)
  end

Tucan.Polar.histogram([direction: directions], "direction",
  bins: 24,
  fill_color: "seagreen",
  line_color: "white"
)

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The times of the day at which the purchases of an online store were made, as a percentage per hour and colored by the kind of device:

:rand.seed(:exsss, {1, 2, 3})

purchases =
  for i <- 1..600 do
    device = if rem(i, 3) == 0, do: "mobile", else: "desktop"
    peak = if device == "mobile", do: 21, else: 14
    hour = peak + 2.5 * :rand.normal()

    %{hour: hour, device: device}
  end

Tucan.Polar.histogram(purchases, "hour",
  period: 24,
  bins: 24,
  color_by: "device",
  relative: true,
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@spec lineplot(
  plotdata :: Tucan.plotdata(),
  r :: String.t(),
  theta :: String.t(),
  opts :: keyword()
) ::
  VegaLite.t()

Draws a line plot in polar coordinates.

r is the field with the radius and theta the field with the angle of each point. The points are connected in increasing order of theta. Use a closed interpolation, e.g. interpolate: "linear-closed", to connect the last point to the first one.

See the module documentation for the coordinate conventions and the polar grid.

Options

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set.

• :angle_unit - The unit of the theta field values, one of :degrees or :radians. Ignored if :period is set. The default value is :degrees.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set.

• :interpolate (binary/0) - The line interpolation method to use for line and area marks. One of the following:

  • "linear" - piecewise linear segments, as in a poly-line.
  • "linear-closed" - close the linear segments to form a polygon.
  • "step" - alternate between horizontal and vertical segments, as in a step function.
  • "step-before" - alternate between vertical and horizontal segments, as in a step function.
  • "step-after" - alternate between horizontal and vertical segments, as in a step function.
  • "basis" - a B-spline, with control point duplication on the ends.
  • "basis-open" - an open B-spline; may not intersect the start or end.
  • "basis-closed" - a closed B-spline, as in a loop.
  • "cardinal" - a Cardinal spline, with control point duplication on the ends.
  • "cardinal-open" - an open Cardinal spline; may not intersect the start or end, but will intersect other control points.
  • "cardinal-closed" - a closed Cardinal spline, as in a loop.
  • "bundle" - equivalent to basis, except the tension parameter is used to straighten the spline.
  • "monotone" - cubic interpolation that preserves monotonicity in y.

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :period (atom/0 or number/0) - Plots cyclic data, where a full turn corresponds to the given period. One of:

  • :day, :week or :year - the theta field is a date or datetime and a full turn corresponds to a day, a week starting on Monday, or a year.
  • a number - the theta field is a number and a full turn corresponds to the given value, e.g. 24 for the hours of a day.

  See the "Cyclic data" section of the module documentation for more details.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

• :tension (number/0) - Depending on the interpolation type, sets the tension parameter

Data Grouping Options

• :color_by (String.t/0) - If set a data field that will be used for coloring the data. It is considered :nominal by default.
• :group_by (String.t/0) - A field to group by the lines without affecting the style of it.

Styling Options

• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :point_color (String.t/0) - The color of the points, if :points is set to true.
• :point_size (pos_integer/0) - The size of the points, if :points is set to true.
• :points (boolean/0) - Whether points will be included in the chart. The default value is false.
• :stroke_dash (list of pos_integer/0) - An array of alternating stroke, space lengths in pixels for creating dashed or dotted lines.
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

An Archimedean spiral, where the radius grows linearly with the angle:

theta = Enum.to_list(0..720//5)
r = Enum.map(theta, &(&1 / 360))

Tucan.Polar.lineplot([r: r, theta: theta], "r", "theta")

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A rose with three petals. Negative radius values are drawn on the opposite side of the origin, so over a full turn each petal is traced twice:

theta = Enum.to_list(0..360)
r = Enum.map(theta, fn t -> :math.cos(3 * t * :math.pi() / 180) end)

Tucan.Polar.lineplot([r: r, theta: theta], "r", "theta", line_color: "purple")

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For radar charts see radar/4.

@spec radar(
  plotdata :: Tucan.plotdata(),
  value :: String.t(),
  category :: String.t(),
  opts :: keyword()
) :: VegaLite.t()

Draws a radar chart.

A radar chart, also known as a spider or star chart, compares the values of several categories. Each category has its own axis starting from the center and the values of each series are connected into a closed outline. The data must have one row per category and series, with the value of the category.

The categories are placed at equal angles, starting at the top and going clockwise, and the grid lines are labeled with the category names.

See the module documentation for more details on the polar grid.

Options

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set. The default value is 90.
• :categories (list of String.t/0) - The categories in the order they are drawn. If not set they are inferred from the data, in the order they first appear. This is possible only if the data are passed inline.
• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set. The default value is :clockwise.
• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.
• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

Data Grouping Options

• :color_by (String.t/0) - If set a data field that will be used for coloring the data. It is considered :nominal by default.
• :group_by (String.t/0) - A field to group by the outlines without affecting the style of it.

Styling Options

• :fill_opacity (number/0) - The opacity of the fill, if :filled is set. The default value is 0.3.
• :filled (boolean/0) - Whether the outlines will be filled. The default value is false.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :point_color (String.t/0) - The color of the points, if :points is set to true.
• :point_size (pos_integer/0) - The size of the points, if :points is set to true.
• :points (boolean/0) - Whether points will be drawn at the values. The default value is true.
• :stroke_dash (list of pos_integer/0) - An array of alternating stroke, space lengths in pixels for creating dashed or dotted lines.
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

Two players compared across six skills:

data =
  for {player, scores} <- [
        {"Alice", [8, 6, 9, 7, 4, 8]},
        {"Bob", [5, 9, 6, 8, 7, 6]}
      ],
      {skill, score} <-
        Enum.zip(["Speed", "Shooting", "Passing", "Dribbling", "Defense", "Stamina"], scores) do
    %{player: player, skill: skill, score: score}
  end

Tucan.Polar.radar(data, "score", "skill",
  color_by: "player",
  filled: true,
  max_radius: 10,
  tooltip: true
)

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The monthly average temperatures of Seattle. The :categories option sets the order of the categories explicitly, which is required if the data are not passed inline:

months = ~w(Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec)

data =
  Enum.zip_with(
    months,
    [5.5, 6.5, 8.4, 10.8, 14.4, 17.0, 19.9, 20.1, 17.2, 12.6, 8.2, 5.8],
    fn month, temp -> %{month: month, temp: temp} end
  )

Tucan.Polar.radar(data, "temp", "month",
  categories: months,
  line_color: "firebrick",
  point_color: "firebrick",
  max_radius: 25,
  radius_ticks: [5, 10, 15, 20, 25]
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@spec scatter(
  plotdata :: Tucan.plotdata(),
  r :: String.t(),
  theta :: String.t(),
  opts :: keyword()
) ::
  VegaLite.t()

Draws a scatter plot in polar coordinates.

r is the field with the radius and theta the field with the angle of each point. Similarly to Tucan.scatter/4 the points can be colored, shaped and sized by data fields.

See the module documentation for the coordinate conventions and the polar grid.

Options

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set.

• :angle_unit - The unit of the theta field values, one of :degrees or :radians. Ignored if :period is set. The default value is :degrees.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set.

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :period (atom/0 or number/0) - Plots cyclic data, where a full turn corresponds to the given period. One of:

  • :day, :week or :year - the theta field is a date or datetime and a full turn corresponds to a day, a week starting on Monday, or a year.
  • a number - the theta field is a number and a full turn corresponds to the given value, e.g. 24 for the hours of a day.

  See the "Cyclic data" section of the module documentation for more details.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

Data Grouping Options

• :color_by (String.t/0) - If set a data field that will be used for coloring the data. It is considered :nominal by default.
• :shape_by (String.t/0) - If set a data field that will be used for setting the shape of the data points. It is considered :nominal by default.
• :size_by (String.t/0) - If set a data field that will be used for controlling the size of the data points. It is considered :quantitative by default.

Styling Options

• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :filled (boolean/0) - Whether the mark will be filled or not
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :point_color (String.t/0) - The color of the points
• :point_shape - Shape of the point marks. Circle by default.
• :point_size (pos_integer/0) - The pixel area of the marks. Note that this value sets the area of the symbol; the side lengths will increase with the square root of this value.
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].
• :shape (keyword/0) - Extra vega lite options for the :shape encoding. The default value is [].
• :size (keyword/0) - Extra vega lite options for the :size encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

Seeds of a sunflower head are placed at successive multiples of the golden angle, at a radius proportional to the square root of their index:

seeds = 1..300
theta = Enum.map(seeds, &(&1 * 137.508))
r = Enum.map(seeds, &:math.sqrt/1)

Tucan.Polar.scatter([r: r, theta: theta], "r", "theta",
  point_color: "darkorange",
  point_size: 20,
  filled: true,
  angle_marks: []
)

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Wind measurements, where the angle is the direction the wind blows from and the radius its speed. The angle offset and direction match the compass, with North on top and angles increasing clockwise, and the angle marks are labeled with the compass points:

data = [
  %{speed: 4.2, direction: 10, station: "A"},
  %{speed: 6.1, direction: 35, station: "A"},
  %{speed: 3.5, direction: 80, station: "A"},
  %{speed: 7.8, direction: 200, station: "A"},
  %{speed: 5.4, direction: 230, station: "A"},
  %{speed: 2.1, direction: 300, station: "B"},
  %{speed: 3.3, direction: 320, station: "B"},
  %{speed: 6.7, direction: 250, station: "B"},
  %{speed: 8.9, direction: 270, station: "B"},
  %{speed: 4.8, direction: 150, station: "B"}
]

Tucan.Polar.scatter(data, "speed", "direction",
  color_by: "station",
  shape_by: "station",
  point_size: 80,
  angle_offset: 90,
  direction: :clockwise,
  angle_labels: :compass,
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@spec windrose(
  plotdata :: Tucan.plotdata(),
  direction :: String.t(),
  speed :: String.t(),
  opts :: keyword()
) :: VegaLite.t()

Draws a wind rose.

A wind rose shows how the observations of wind speed and direction are distributed. The observations are binned by direction, and the bar of each direction is split by speed, with the lower speeds closer to the center. By default the radius is the percentage of the observations in each bin.

direction is the field with the direction the wind blows from, in degrees, and speed the field with the wind speed. The plot follows the compass, with North on top and directions increasing clockwise.

See the module documentation for more details on the polar grid.

Options

• :angle_labels (atom/0 or list of String.t/0) - The labels of the angle marks. Defaults to :degrees, or to the period's divisions if :period is set and :angle_marks is not. One of:

  • :degrees - the angle in degrees, e.g. "45°".
  • :compass - the compass point of the angle, e.g. "NE", for multiples of 22.5 degrees. The angles are treated as compass bearings, so you should usually also set direction: :clockwise and angle_offset: 90.
  • :none - no labels.
  • a list of strings, one for each angle mark.

  The default value is :compass.

• :angle_marks (list of number/0) - The angles in degrees at which grid lines from the origin are drawn. Always in degrees, regardless of the :angle_unit and the :period. Defaults to every 45 degrees, or to the period's divisions if :period is set.

• :angle_offset - Rotates the plot counter clockwise by the given angle in degrees. For example with angle_offset: 90 an angle of 0 points up. Defaults to 0, or to 90 if :period is set. The default value is 90.

• :direction - The direction in which angles increase. Defaults to :counter_clockwise, or to :clockwise if :period is set. The default value is :clockwise.

• :directions (pos_integer/0) - The number of direction bins. The bins are centered at the directions, e.g. with the default 16 bins the North bin spans from -11.25 to 11.25 degrees. The default value is 16.

• :max_radius (number/0) - The radius of the outer grid circle. If not set it is the largest radius tick, or if these are not set either it is inferred from the data.

• :radius_ticks (list of number/0) - The radiuses at which grid circles are drawn. If not set they are derived from the maximum radius.

• :relative (boolean/0) - If set the radius is the percentage of the observations in each bin, otherwise their count. The default value is true.

• :speed_bins (list of number/0) - The increasing lower limits of the speed bins. The last bin contains all speeds above the last limit and speeds below the first limit are ignored. If not set, five equal bins starting from 0 are used, which is possible only if the data are passed inline.

Styling Options

• :fill_opacity (number/0) - The fill opacity of the plotted elements. The default value is 1.
• :grid_color (String.t/0) - The color of the polar grid lines. The default value is "#dddddd".
• :grid_opacity (number/0) - The opacity of the polar grid lines. The default value is 1.
• :line_color (String.t/0) - The color of the line
• :stroke_width (pos_integer/0) - The stroke width in pixels
• :title (String.t/0) - The title of the plot.
• :width (pos_integer/0) - The width and height of the plot in pixels. The default value is 300.

Encodings Custom Options

All Tucan plots are building a VegaLite specification based on some sane default parameters. Through these encodings options you are free to set any vega-lite supported option to any encoding channel of the plot.

Notice that if set they will be merged with any option set by the plot. Since they have a higher precedence they may override the default settings and affect the generated plot.

You can set an arbitrary keyword list. Notice that the contents are not validated.

• :color (keyword/0) - Extra vega lite options for the :color encoding. The default value is [].

Interactivity Options

• :tooltip (boolean() | :data | :encoding) - The tooltip text string to show upon mouse hover or an object defining which fields should the tooltip be derived from. Can be one of the following:

  • :encoding - all fields from encoding are used
  • :data - all fields of the highlighted data point are used
  • true - same as :encoding
  • false, nil - no tooltip is used

Examples

Generated observations with a prevailing south west wind:

:rand.seed(:exsss, {1, 2, 3})

data =
  for _i <- 1..500 do
    direction = 225 + 45 * :rand.normal()
    speed = abs(6 + 3 * :rand.normal() + 2 * :math.cos((direction - 225) * :math.pi() / 180))

    %{direction: direction, speed: speed}
  end

Tucan.Polar.windrose(data, "direction", "speed", line_color: "white", tooltip: true)

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With custom speed bins, eight directions, counts instead of percentages and a different color scheme:

:rand.seed(:exsss, {1, 2, 3})

data =
  for _i <- 1..300 do
    direction = if :rand.uniform() < 0.6, do: 20 * :rand.normal(), else: 360 * :rand.uniform()
    %{direction: direction, speed: 12 * :rand.uniform()}
  end

Tucan.Polar.windrose(data, "direction", "speed",
  directions: 8,
  speed_bins: [0, 3, 6, 9],
  relative: false,
  color: [scale: [scheme: "viridis"]]
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