2D Plotting

For an example, open Derivita - Authoring Examples > 2D Plotting.

The basics

plot_2d(renderer1, [renderer2, ...])

Plots one or more 2D renderers

Named Arguments:

x_min

x_max

y_min

y_max

width

height

title

x_label

y_label

plot_settings()

Sets default values for plotting

Named Arguments:

width

height

foreground

background

foreground_alpha

background_alpha

plot_line_width

tick_size

font_size

font_face

font_family

legend_anchor

legend_box_alpha

bounds_cube

x_axis

y_axis

x_far_axis

y_far_axis

x_origin_axis

y_origin_axis

z_axis

x_tick_labels

y_tick_labels

x_far_tick_labels

y_far_tick_labels

x_tick_label_angle

y_tick_label_angle

x_far_tick_label_angle

y_far_tick_label_angle

x_tick_label_anchor

y_tick_label_anchor

x_far_tick_label_anchor

y_far_tick_label_anchor

decorations

samples

angle

altitude

ambient_light

diffuse_light

specular_light

allow_pan

allow_zoom

allow_rotate

title

x_label

y_label

z_label

x_far_label

y_far_label

line_samples

line_color

line_width

line_style

line_alpha

interval_color

interval_style

interval_line1_color

interval_line1_width

interval_line1_style

interval_line2_color

interval_line2_width

interval_line2_style

interval_alpha

point_color

point_size

point_line_width

point_alpha

vector_field_samples

vector_field_color

vector_field_line_style

vector_field_scale

vector_field3d_samples

contour_samples

contour_levels

contour_colors

contour_widths

contour_styles

contour_alphas

contour_interval_colors

contour_interval_styles

contour_interval_alphas

x_axis_ticks

y_axis_ticks

x_axis_labels

y_axis_labels

x_axis_alpha

y_axis_alpha

polar_axes_number

polar_axes_ticks

polar_axes_labels

polar_axes_alpha

label_anchor

label_angle

label_alpha

label_point_size

surface_color

surface_style

surface_line_color

surface_line_style

contour_interval_line_colors

contour_interval_line_styles

Plots

Shared named arguments

Plotting functions, with the exceptions of scatterplot_2d and vector_field_2d, have the following named arguments.

x_min

x_max

y_min

y_max

samples

color

width

style

alpha

label

function_2d(expr)

Plots y = expr
expr an expression in x
Named Arguments:

See Shared named arguments.

inverse_2d(expr)

Plots x = expr
expr an expression in y
Named Arguments:

See Shared named arguments.

lines_2d(points)

Plots a line chart
points a list of coordinate pairs: for example, [[0, 0], [1, 2], [5, -1]]
Named Arguments:

See Shared named arguments. Note that this function omits the argument samples.

polar_2d(expr)

Plots r = expr from theta_min to theta_max
expr an expression in theta
Named Arguments:

theta_min (default: 0)

theta_max (default: 2pi)

See Shared named arguments.

parametric_2d(expressions, t_min, t_max)

Plots (x, y) = expressions from t_min to t_max
expressions a list of two expression, the first for x(t), the second for y(t): for example, [cos(t), sin(t)]
Named Arguments:

See Shared named arguments.

contours_2d(expr)

Plots contour lines of the function f(x, y) = expr
expr an expression in x and y
Named Arguments:

See Shared named arguments. Note that some arguments are pluralized for this function: colors, widths, styles, and alphas.

scatterplot_2d(points, [x_min, x_max, y_min, y_max, label])

Draws a 2D scatter plot

points a list of coordinate pairs: for example, [[0, 0], [1, 2], [5, -1]]
x_min  lower bound for x-axis

x_max  upper bound for x-axis

y_min  lower bound for y-axis

y_max  upper bound for y-axis

Named arguments:
sym

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

fill_color

point_size

line_width

alpha

vector_field_2d(vector_expr, [x_min, x_max, y_min, y_max])

Plots a vector field

vector_expr  expression to generate vectors: for example, list<x, x + y>

x_min  lower bound for x-axis

x_max  upper bound for x-axis

y_min  lower bound for y-axis

y_max  upper bound for y-axis

Named Arguments:

samples  Number of samples taken, per axis. Integer >= 2

scale  If scale is a real number, arrow lengths are multiplied by scale. If "auto", the scale is calculated in a way that keeps arrows from overlapping. If "normalized", each arrow is made the same length.

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_style

line_width

Axes

axes_2d(x, y)

Draws a pair of rectangular axes that go through (x, y)
Named arguments
x_ticks

y_ticks

x_labels

y_labels

alpha

polar_axes_2d()

Draws a set of polar axes
Named Arguments:

number

ticks

labels

alpha

tick_grid_2d()

Draws grid lines corresponding to the axis ticks

hrule_2d(y)

Draws a horizontal line at y
Named Arguments:

x_min

x_max

color

width

style

alpha

label

vrule_2d(x)

Draws a vertical line at x
Named Arguments:

x_min

x_max

color

width

style

alpha

label

Labels

Shared named arguments

Labeling functions, with the exception of arrow_label_2d, have the following named arguments.
font_color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29
font_family
font_size
anchor
angle
point_color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29
point_fill_color
point_size
point_line_width
sym
alpha

point_label_2d(point, [label])

Labels a point
point coordinates of the point to label
label a string with which to label the point. Defaults to the point's coordinates
Named Arguments:
See Shared named arguments.

function_label_2d(f, x, [label])

Labels the point (x, f(x))
f an expression in x
x the value at which to label the function
label a string with which to label the point. Defaults to the point's coordinates
Named arguments:
See Shared named arguments.

inverse_label_2d(f, y, [label])

Labels the point (f(y), y)
f an expression in y
y the value at which to label the function
label a string with which to label the point. Defaults to the point's coordinates
Named Arguments:
See Shared named arguments.

polar_label_2d(r, theta, [label])

Labels the point (r(theta), theta)
r an expression in theta
theta the value at which to label the function
label a string with which to label the point. Defaults to the point's coordinates (in rectangular coordinates)
Named Arguments:
See Shared named arguments.

parametric_label_2d(f, t, [label])

Labels the point f(t)
f a list of two expressions: [x(t), y(t)]
t the value at which to label the function
label a string with which to label the point. Defaults to the point's coordinates
Named Arguments:
See Shared named arguments.

arrow_label_2d(point1, point2, [label])

Draws an arrow from point1 to point2
point1 the tail of the arrow
point2 the head of the arrow
label a string with which to label the arrow
Named Arguments:
font_color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29
font_size
anchor
angle
label_padding
arrow_color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29
arrow_size
line_width
height_ratio
alpha

Interval plots

Shared named arguments

Interval plotting functions have the following named arguments.
x_min
x_max
y_min
y_max
samples
color
style
line1_color
line1_width
line1_style
line2_color
line2_width
line2_style
alpha
label

function_interval_2d(f1, f2)

Plots y = f1 and y = f2 and shades the area between them
Named Arguments:

See Shared named arguments.

inverse_interval_2d(f1, f2)

Plots x = f1 and x = f2 and shade the area between them
Named Arguments:

See Shared named arguments.

lines_interval_2d(points1, points2)

Plots line charts based on points1 and point2 and shades the area between them
Named Arguments:

See Shared named arguments. Note that this function omits the argument samples.

polar_interval_2d(f1, f2)

Plots r = f1 and r = f2 from theta_min to theta_max and shades the area between them
Named Arguments:

theta_min

theta_max

See Shared named arguments.

parametric_interval_2d(f1, f2, t_min, t_max)

Plots f1 and f2 from t_min to t_max and shades the area between them
Named Arguments:

See Shared named arguments.

contour_intervals_2d(expr)

Plots contour lines of the function f(x, y) = expr and shades the areas between them
expr an expression in x and y

Named Arguments:
levels

See Shared named arguments. Note that some arguments are pluralized for this function: colors, styles, and alphas, and that it uses contour_colors, contour_widths, and contour_styles in place of line1_color, line2_color, line1_width, etc.