A plane curve that looks like a plant

from math import Pi
import arraymancer, datamancer, ggplotnim
let
  t = linspace(0.0, 39.0*Pi*0.5, 1000)
  x = t *. cos(t)^.3
  y = 9.0 * t *. sqrt(abs(cos(t))) + t *. sin(0.2*t) *. cos(4.0*t)
  df = toDf(t, x, y)
ggplot(df, aes("x", "y")) + geom_line(color="green") + theme_void() + ggsave("trigonometric_plant.png")

The above is a nim port of this python version:

t = linspace(0, 39*pi/2, 1000)
x = t*cos(t)**3
y = 9*t*sqrt(abs(cos(t))) + t*sin(0.2*t)*cos(4*t)
plt.plot(x, y, c="green") pic.twitter.com/8Dd0UfEArv
— Scientific Python (@SciPyTip) August 2, 2022

Note that:

math is needed for Pi (cos, sin, sqrt, abs are tensor operations that come from arraymancer)
linspace is from arraymancer and t, x and y are all Tensors (there is also a linspace in numericalnim which outputs seqs)
I probably do not need to explicitly import datamancer to use toDf (I think it is included in ggplotnim)
I have to carefully convert all integers into floats (I could have imported lenientops)
I am using the dotted version of operators (*., ^.) that apply the operator to the tensor elementwise
color goes in geom_line and not in aes call (oddly enough if I put color="green" in aes it will plot with a reddish color)
I am using theme_void to remove axis and grey grid (not sure how to remove just the grey grid without removing axis)
see below in source code comments addressing issues when running on windows

It is nice also to see how x and y look like:

ggplot(df, aes("t", "x")) + xlab("t") + ylab("x") + geom_line() + ggsave("trigonometric_plant_x.png")

ggplot(df, aes("t", "y")) + xlab("t") + ylab("y") + geom_line() + ggsave("trigonometric_plant_y.png")

import nimib, strformat nbInit nbText: """# A plane curve that looks like a plant """ nbCode: from math import Pi import arraymancer, datamancer, ggplotnim let t = linspace(0.0, 39.0*Pi*0.5, 1000) x = t *. cos(t)^.3 y = 9.0 * t *. sqrt(abs(cos(t))) + t *. sin(0.2*t) *. cos(4.0*t) df = toDf(t, x, y) ggplot(df, aes("x", "y")) + geom_line(color="green") + theme_void() + ggsave("trigonometric_plant.png") nbClearOutput # to remove output from ggplotnim when saving the png nbImage("trigonometric_plant.png") nbText: "The above is a nim port of this python version:" nbRawOutput: """<blockquote class="twitter-tweet"><p lang="en" dir="ltr">t = linspace(0, 39*pi/2, 1000)<br>x = t*cos(t)**3<br>y = 9*t*sqrt(abs(cos(t))) + t*sin(0.2*t)*cos(4*t)<br>plt.plot(x, y, c="green") <a href="https://t.co/8Dd0UfEArv">pic.twitter.com/8Dd0UfEArv</a></p>— Scientific Python (@SciPyTip) <a href="https://twitter.com/SciPyTip/status/1554290482263592960?ref_src=twsrc%5Etfw">August 2, 2022</a></blockquote> <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script>""" nbText: """Note that: - `math` is needed for `Pi` (`cos`, `sin`, `sqrt`, `abs` are tensor operations that come from arraymancer) - `linspace` is from `arraymancer` and `t`, `x` and `y` are all Tensors (there is also a `linspace` in `numericalnim` which outputs `seq`s) - I probably do not need to explicitly import `datamancer` to use `toDf` (I think it is included in ggplotnim) - I have to carefully convert all integers into floats (I could have imported lenientops) - I am using the dotted version of operators (`*.`, `^.`) that apply the operator to the tensor elementwise - `color` goes in `geom_line` and not in `aes` call (oddly enough if I put `color="green"` in `aes` it will plot with a reddish color) - I am using `theme_void` to remove axis and grey grid (not sure how to remove just the grey grid without removing axis) - see below in source code comments addressing issues when running on windows It is nice also to see how `x` and `y` look like: """ nbCode: ggplot(df, aes("t", "x")) + xlab("t") + ylab("x") + geom_line() + ggsave("trigonometric_plant_x.png") nbClearOutput nbImage("trigonometric_plant_x.png") nbCode: ggplot(df, aes("t", "y")) + xlab("t") + ylab("y") + geom_line() + ggsave("trigonometric_plant_y.png") nbClearOutput nbImage("trigonometric_plant_y.png") nbSave # for windows: # - use -d:nolapack, see https://github.com/Vindaar/ggplotnim/issues/133 # - download the cairo-windows zip from https://github.com/preshing/cairo-windows/releases/ # - unzip, move cairo.dll in same folder from where I am running the file, rename to libcairo-2.dll # - the final command I ran from nblog root folder (where I put the renamed dll) is: # `nim r -d:nolapack .\drafts\trigonometric_plant.nim --nbShow`