How to resolve the algorithm Draw a rotating cube step by step in the Raku programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Draw a rotating cube step by step in the Raku programming language
Table of Contents
Problem Statement
Draw a rotating cube. It should be oriented with one vertex pointing straight up, and its opposite vertex on the main diagonal (the one farthest away) straight down. It can be solid or wire-frame, and you can use ASCII art if your language doesn't have graphical capabilities. Perspective is optional.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Draw a rotating cube step by step in the Raku programming language
Source code in the raku programming language
use Terminal::Caca;
given my $canvas = Terminal::Caca.new {
.title('Rosetta Code - Rotating cube - Press any key to exit');
sub scale-and-translate($x, $y, $z) {
$x * 5 / ( 5 + $z ) * 15 + 40,
$y * 5 / ( 5 + $z ) * 7 + 15,
$z;
}
sub rotate3d-x( $x, $y, $z, $angle ) {
my ($cosθ, $sinθ) = cis( $angle * π / 180.0 ).reals;
$x,
$y * $cosθ - $z * $sinθ,
$y * $sinθ + $z * $cosθ;
}
sub rotate3d-y( $x, $y, $z, $angle ) {
my ($cosθ, $sinθ) = cis( $angle * π / 180.0 ).reals;
$x * $cosθ - $z * $sinθ,
$y,
$x * $sinθ + $z * $cosθ;
}
sub rotate3d-z( $x, $y, $z, $angle ) {
my ($cosθ, $sinθ) = cis( $angle * π / 180.0 ).reals;
$x * $cosθ - $y * $sinθ,
$x * $cosθ + $y * $sinθ,
$z;
}
# Unit cube from polygon mesh, aligned to axes
my @mesh =
[ [1, 1, -1], [-1, -1, -1], [-1, 1, -1] ], # far face
[ [1, 1, -1], [-1, -1, -1], [ 1, -1, -1] ],
[ [1, 1, 1], [-1, -1, 1], [-1, 1, 1] ], # near face
[ [1, 1, 1], [-1, -1, 1], [ 1, -1, 1] ];
@mesh.push: [$_».rotate( 1)».Array] for @mesh[^4]; # positive and
@mesh.push: [$_».rotate(-1)».Array] for @mesh[^4]; # negative rotations
# Rotate to correct orientation for task
for ^@mesh X ^@mesh[0] -> ($i, $j) {
@(@mesh[$i;$j]) = rotate3d-x |@mesh[$i;$j], 45;
@(@mesh[$i;$j]) = rotate3d-z |@mesh[$i;$j], 40;
}
my @colors = red, blue, green, cyan, magenta, yellow;
loop {
for ^359 -> $angle {
.color( white, white );
.clear;
# Flatten 3D into 2D and rotate for all faces
my @faces-z;
my $c-index = 0;
for @mesh -> @triangle {
my @points;
my $sum-z = 0;
for @triangle -> @node {
my ($px, $py, $z) = scale-and-translate |rotate3d-y |@node, $angle;
@points.append: $px.Int, $py.Int;
$sum-z += $z;
}
@faces-z.push: %(
color => @colors[$c-index++ div 2],
points => @points,
avg-z => $sum-z / +@points;
);
}
# Draw all faces
# Sort by z to draw farthest first
for @faces-z.sort( -*. ) -> %face {
# Draw filled triangle
.color( %face, %face );
.fill-triangle( |%face );
# And frame
.color( black, black );
.thin-triangle( |%face );
}
.refresh;
exit if .wait-for-event(key-press);
}
}
# Cleanup on scope exit
LEAVE {
.cleanup;
}
}
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