Universe

Draw intervals on a number line, after Cédric Pierquet’s LaTeX package ProfLycee (RepIntervalles): open or closed bounds, infinite bounds, fill, zigzag or hatching decoration. It is built on CeTZ (version 0.5.2, see src/deps.typ).

#import "@preview/ctz-interval:0.1.0": *

Documentation

There is no separate documentation: the examples and the tables of keys below cover everything.

Examples

Click the small triangle on the left to see the code of a drawing.

1. The simplest: no ticks

exemple 1.1 
#rpz-interval(
  xmin: 0, xmax: 6,
  values: (3,),
  ctz-interval(
    3, "*", type: "CO",
  ),
)
exemple 1.2 
#rpz-interval(
  xmin: -3, xmax: 6,
  values: (-1, 4),
  ctz-interval(
    -1, 4,
  ),
)
exemple 1.3 
#rpz-interval(
  xmin: -3, xmax: 5,
  ctz-interval(
    "*", 2, type: "OO",
    show-values: true,
  ),
)
exemple 1.4 
#rpz-interval(
  xmin: -2, xmax: 7,
  ctz-interval(
    0, 5, type: "OC",
    show-values: true, pos-values: "below",
  ),
)

2. The four bracket types

exemple 2.1 
#rpz-interval(
  xmin: -4, xmax: 5,
  values: (-2, 3),
  ctz-interval(
    -2, 3, type: "CC",
  ),
)
exemple 2.2 
#rpz-interval(
  xmin: -4, xmax: 5,
  values: (-2, 3),
  ctz-interval(
    -2, 3, type: "CO",
  ),
)
exemple 2.3 
#rpz-interval(
  xmin: -4, xmax: 5,
  values: (-2, 3),
  ctz-interval(
    -2, 3, type: "OC",
  ),
)
exemple 2.4 
#rpz-interval(
  xmin: -4, xmax: 5,
  values: (-2, 3),
  ctz-interval(
    -2, 3, type: "OO",
  ),
)

3. Infinite bounds

exemple 3.1 
#rpz-interval(
  xmin: -5, xmax: 4,
  ticks: range(-5, 5),
  values: (1,),
  ctz-interval(
    "*", 1, type: "OC",
    color: blue, decor: "fill",
  ),
)
exemple 3.2 
#rpz-interval(
  xmin: -5, xmax: 4,
  ticks: range(-5, 5),
  values: (-2,),
  ctz-interval(
    -2, "*", type: "CO",
    color: blue, decor: "fill",
  ),
)
exemple 3.3 
#rpz-interval(
  xmin: -5, xmax: 4,
  ticks: range(-5, 5),
  values: (0,),
  ctz-interval(
    "*", "*", type: "OO",
    color: blue, decor: "fill",
  ),
)
exemple 3.4 
#rpz-interval(
  xmin: -10, xmax: 10,
  ticks: range(-10, 11),
  values: (0,),
  width: 12,
  ctz-interval(
    "*", 0, type: "OO",
    color: gray, decor: "hatch/135",
  ),
)

4. Decorations

exemple 4.1 
#rpz-interval(
  xmin: -1, xmax: 6,
  values: (1, 4),
  ctz-interval(
    1, 4,
    color: teal, decor: "fill",
  ),
)
exemple 4.2 
#rpz-interval(
  xmin: -1, xmax: 6,
  values: (1, 4),
  ctz-interval(
    1, 4,
    color: purple, decor: "zigzag",
  ),
)
exemple 4.3 
#rpz-interval(
  xmin: -1, xmax: 6,
  values: (1, 4),
  ctz-interval(
    1, 4,
    color: orange, decor: "hatch",
  ),
)
exemple 4.4 
#rpz-interval(
  xmin: -1, xmax: 11,
  values: (0, 3, 4, 7, 8, 10),
  ctz-interval(
    0, 3,
    color: orange, decor: "hatch/30",
  ),
  ctz-interval(
    4, 7,
    color: orange, decor: "hatch/90",
  ),
  ctz-interval(
    8, 10,
    color: orange, decor: "hatch/150",
  ),
)

5. Ticks

exemple 5.1 
#rpz-interval(
  xmin: -5, xmax: 5,
  ticks: range(-5, 6),
  ctz-interval(
    -2, 3, type: "CO",
    show-values: true,
  ),
)
exemple 5.2 
#rpz-interval(
  xmin: 0, xmax: 20,
  ticks: range(0, 21),
  major-ticks: range(0,5).map(k => k*5),
  values: (0, 5, 10, 15, 20),
  ctz-interval(
    7, 13, type: "OC",
    color: blue, decor: "fill", show-values: true,
  ),
)

6. Values

exemple 6.1 
#rpz-interval(
  xmin: -5, xmax: 5,
  ticks: range(-5, 6),
  values: range(-5, 6),
  ctz-interval(
    -2, 3, type: "CO",
  ),
)
exemple 6.2 
#rpz-interval(
  xmin: 0, xmax: 3,
  ticks: range(0, 7).map(k => k / 2),
  values: range(0, 7).map(k => k / 2),
  ctz-interval(
    0.5, 2.5, type: "CO",
  ),
)
exemple 6.3 
#rpz-interval(
  xmin: -3, xmax: 4,
  ticks: range(-3, 5), 
  values: range(-3,5),
  ctz-interval(
    -calc.sqrt(2), 10/3, type: "OO",
    color: blue, decor: "fill",
    show-values: true, label-inf: $sqrt(2)$, label-sup: $10/3$
  ),
)
exemple 6.4 
#rpz-interval(
  xmin: 0, xmax: 10,
  ctz-interval(
    2, 7,
    decor: "fill", show-values: true, pos-values: "below",
    label-inf: $a$, label-sup: $b$,
  ),
)
exemple 6.5 
#rpz-interval(
  xmin: -2, xmax: 3,
  ticks: range(-6, 10).map(k => k / 3),
  major-ticks: range(-2, 4),
  values: range(-2, 4),
  ctz-interval(
    -2/3, 5/3, type: "CO",
    color: blue, decor: "fill",
    show-values: true, 
  ),
)
exemple 6.6 
#rpz-interval(
  xmin: -2, xmax: 3,
  ticks: range(-6, 10).map(k => k / 3),
  major-ticks: range(-2, 4),
  values: range(-2, 4),
  ctz-interval(
    -2/3, 5/3, type: "CO",
    color: blue, decor: "fill",
    show-values: true, label-inf: $-2/3$, label-sup: $5/3$,
  ),
)

7. Several intervals

exemple 7.1 
#rpz-interval(
  xmin: -4, xmax: 5,
  ticks: range(-4, 6),
  values: (-1, 2),
  ctz-interval(
    "*", -1, type: "OC",
    color: blue, decor: "hatch",
  ),
  ctz-interval(
    2, "*", type: "CO",
    color: blue, decor: "hatch",
  ),
)
exemple 7.2 
#rpz-interval(
  xmin: -5, xmax: 5,
  ticks: range(-5, 6),
  values: range(-5, 6),
  ctz-interval(
    -3, 2, type: "OC",
    color: blue, decor: "hatch/60",
    show-values: true,
  ),
  ctz-interval(
    0, 4, type: "CO",
    color: red, level: 1.25, decor: "hatch/120",
  ),
  ctz-interval(
    -1, 1, type: "OC",
    color: green, decor: "fill",
  ),
)
exemple 7.3 
#rpz-interval(
  xmin: -6, xmax: 6,
  ticks: range(-6, 7),
  values: (-4, -1, 2, 5),
  ctz-interval(
    -4, 2,
    color: red, decor: "fill",
  ),
  ctz-interval(
    -1, 5, type: "OO",
    color: blue, decor: "fill",
  ),
)

8. The examples from ProfLycee’s documentation (§13, p. 55–58)

exemple 8.1 
#rpz-interval(
  xmin: -8, xmax: 20,
  ctz-interval(
    "*", 13,
  ),
)
exemple 8.2 
#rpz-interval(
  xmin: -2, xmax: 8,
  unit: 1cm,
  ticks: range(-2, 9),
  major-ticks: (0, 5),
)
exemple 8.3 
#rpz-interval(
  xmin: -100, xmax: 200,
  width: 10, text-style: (size: 7pt), thickness: 0.6pt,
  ticks: range(-100, 201, step: 10),
  major-ticks: range(-100, 201, step: 50),
  values: range(-100, 201, step: 50),
  ctz-interval(
    -15, 175,
    show-values: true,
  ),
  ctz-interval(
    -56, 25,
    color: teal, decor: "fill",
    show-values: true,
  ),
  ctz-interval(
    0, 79, type: "OO",
    color: purple, decor: "zigzag", level: 1.5,
    show-values: true,
  ),
)
exemple 8.4 
#rpz-interval(
  xmin: -8, xmax: 8,
  ticks: range(-8, 9),
  ctz-interval(
    -2, 5,
    decor: "fill",
    show-values: true, pos-values: "below",
  ),
  ctz-interval(
    -7, -1, type: "OO",
    color: blue, decor: "zigzag",
    show-values: true, pos-values: "below",
  ),
  ctz-interval(
    "*", 6, type: "CO",
    color: orange, decor: "hatch", level: 1.25,
    show-values: true,
  ),
)
exemple 8.5 
#rpz-interval(
  xmin: -8, xmax: 8,
  ticks: range(-8, 9),
  ctz-interval(
    -2, 5,
    decor: "fill",
    show-values: true, pos-values: "below",
    label-inf: $a$, label-sup: $b$,
  ),
  ctz-interval(
    -calc.sqrt(5), 2 / 3, type: "OO",
    color: blue, decor: "fill",
    show-values: true,
    label-inf: $-sqrt(5)$, label-sup: $2/3$,
  ),
)

Keys

rpz-interval(keys, …) draws the axis and the ctz-interval(…) given to it. rpz-interval-draw takes the same keys but returns the CeTZ elements only, to be put in your own cetz.canvas (then import CeTZ yourself: #import "@preview/cetz:0.5.2").

Keys of rpz-interval

Key Default Meaning
xmin, xmax -8, 8 ends of the axis
width 12 length of the axis from xmin to xmax, in cm
unit auto length of one unit (1cm); auto: computed from width
ticks () positions of the ticks
major-ticks () positions of the major (longer) ticks
values () numbers written below the axis
tick-height 7pt height of a tick
height 12pt height of the intervals (brackets, decoration)
thickness 1pt line thickness
text-style (:) text settings, such as (size: 8pt) (not fill)

Keys of ctz-interval

ctz-interval(inf, sup, keys): an infinite bound is written "*" (or none); the other bounds are Typst numbers (0, 2 / 3, calc.sqrt(5)), not strings ("0") nor math ($sqrt(5)$).

Key Default Meaning
type "CC" brackets: "CC", "CO", "OC" or "OO" (C closed, O open)
color red color
decor none "fill", "zigzag", "hatch" or "hatch/<angle>" (not horizontal; "hatch": 45°)
level 0 vertical position, in interval heights (1.25: above the axis)
show-values false write the bounds
pos-values "above" above ("above") or below ("below") the interval
label-inf, label-sup auto labels of the bounds, such as $-sqrt(5)$

Numbers (bounds and values) are written with a decimal comma and at most 4 decimals, as in French: 1.5 gives 1,5.

License

MIT. Independent rewrite based on ProfLycee’s documentation (rendering, key names), without reusing its code (LPPL).