Sunflower fractal: Difference between revisions
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→{{header|Fōrmulæ}}
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{{trans|Perl}}
<
phi = (1 + sqrt(5)) / 2
size = 600
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r * cos(t) + size / 2, sqrt(i) / 13))
print(‘</svg>’)</
=={{header|Action!}}==
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{{libheader|Action! Tool Kit}}
{{libheader|Action! Real Math}}
<
INT ARRAY SinTab=[
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DO UNTIL CH#$FF OD
CH=$FF
RETURN</
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Sunflower_fractal.png Screenshot from Atari 8-bit computer]
=={{header|Applesoft BASIC}}==
<syntaxhighlight lang="gwbasic">HGR:A=PEEK(49234):C=(SQR(5)+1)/2:N=900:FORI=0TO1600:R=(I^C)/N:A=8*ATN(1)*C*I:X=R*SIN(A)+139:Y=R*COS(A)+96:F=7-4*((X-INT(X/2)*2)>=.75):X=(X>=0ANDX<280)*X:Y=(Y>=0ANDY<192)*Y:HCOLOR=F*(XANDY):HPLOTX,Y:NEXT</syntaxhighlight>
=={{header|C}}==
The colouring of the "fractal" is determined with every iteration to ensure that the resulting graphic looks similar to a real Sunflower, thus the parameter ''diskRatio'' determines the radius of the central disk as the maximum radius of the flower is known from the number of iterations. The scaling factor is currently hardcoded but can also be externalized. Requires the [http://www.cs.colorado.edu/~main/bgi/cs1300/ WinBGIm] library.
<syntaxhighlight lang="c">
/*Abhishek Ghosh, 14th September 2018*/
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return 0;
}
</syntaxhighlight>
=={{header|C++}}==
{{trans|Perl}}
<
#include <fstream>
#include <iostream>
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}
return EXIT_SUCCESS;
}</
{{out}}
[[Media:Sunflower cpp.svg]]
=={{header|FreeBASIC}}==
<
Const PI As Double = 4 * Atn(1)
Const ancho = 400
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Sleep
End
</syntaxhighlight>
=={{header|Fōrmulæ}}==
{{FormulaeEntry|page=https://formulae.org/?script=examples/Sunflower_model}}
'''Solution'''
The method consists in drawing points on a spriral, an archimedean spiral, where two contiguous points are separated (in angle) by the golden angle.
Because the points tend to agglomerate in the center, they are smaller there.
[[File:Fōrmulæ - Sunflower model 01.png]]
[[File:Fōrmulæ - Sunflower model 02.png]]
[[File:Fōrmulæ - Sunflower model 03.png]]
'''Improvement'''
Last result is not natural. Florets in a sunflower are all equal size.
H. Vogel proposed to use a Fermat spiral, in such a case, the florets are equally spaced, and we can use now circles with the same size:
[[File:Fōrmulæ - Sunflower model 04.png]]
[[File:Fōrmulæ - Sunflower model 05.png]]
[[File:Fōrmulæ - Sunflower model 06.png]]
=={{header|FutureBasic}}==
<syntaxhighlight lang="futurebasic">
window 1, @"Sunflower Fractal", ( 0, 0, 400, 400 )
WindowSetBackgroundColor( 1, fn ColorBlack )
void local fn SunflowerFractal
NSUinteger seeds = 4000
double c, i, angle, x, y, r
pen 2.0, fn ColorWithRGB( 0.997, 0.838, 0.038, 1.0 )
c = ( sqr(5) + 1 ) / 2
for i = 0 to seeds
r = (i ^ c) / seeds
angle = 2 * pi * c * i
x = r * sin(angle) + 200
y = r * cos(angle) + 200
oval ( x, y, i / seeds * 5, i / seeds * 5 )
next
end fn
fn SunflowerFractal
HandleEvents
</syntaxhighlight>
[[file:Sunflower_Fractal.png]]
=={{header|Go}}==
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<br>
The image produced, when viewed with (for example) EOG, is similar to the Ring entry.
<
import (
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dc.Stroke()
dc.SavePNG("sunflower_fractal.png")
}</
=={{header|javascript}}==
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</html>
</pre>
<
TPI = Math.PI * 2, C = (Math.sqrt(10) + 1) / 2;
class Sunflower {
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const sunflower = new Sunflower();
sunflower.start();
}</
=={{header|J}}==
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This implementation assumes a recent J implementation (for example, J903):
<
sunfract=: {{ NB. y: number of "sunflower seeds"
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</svg>
}} sprintf (;/<.20+}:>./fract),<C) fwrite y}}
</syntaxhighlight>
Example use:
<syntaxhighlight lang="j">
3000 sunfractsvg '~/sunfract.html'
129147
</syntaxhighlight>
(The number displayed is the size of the generated file.)
=={{header|jq}}==
'''Adapted from [[#Perl|Perl]]'''
{{works with|jq}}
'''Works with gojq, the Go implementation of jq'''
<syntaxhighlight lang="jq"># SVG headers
def svg(size):
"<svg xmlns='http://www.w3.org/2000/svg' width='\(size)'",
"height='\(size)' style='stroke:gold'>",
"<rect width='100%' height='100%' fill='black'/>";
# emit the "<circle />" elements
def sunflower(size):
def rnd: 100*.|round/100;
(5 * size) as $seeds
| ((1|atan) * 4) as $pi
| ((1 + (5|sqrt)) / 2) as $phi
| range(1; 1 + $seeds) as $i
| {}
| .r = 2 * pow($i; $phi)/$seeds
| .theta = 2 * $pi * $phi * $i
| .x = .r * (.theta|sin) + size/2
| .y = .r * (.theta|cos) + size/2
| .radius = ($i|sqrt)/13
| "<circle cx='\(.x|rnd)' cy='\(.y|rnd)' r='\(.radius|rnd)' />" ;
def end_svg:
"</svg>";
svg(600),
sunflower(600),
end_svg</syntaxhighlight>
=={{header|Julia}}==
{{trans|R}}
Run from REPL.
<
function sunflowerplot()
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for i in 2:length(r)
θ[i] = θ[i - 1] + 2π * ϕ
markersizes[i] = div(i, 500) +
end
x = r .* cos.(θ)
y = r .* sin.(θ)
ax = Axis(f[1, 1], backgroundcolor = :green)
scatter!(ax, x, y, color = :gold, markersize = markersizes, strokewidth = 1)
hidespines!(ax)
hidedecorations!(ax)
return f
end
sunflowerplot()
</syntaxhighlight>
{{output}}
[[File:Sunflower-julia.png|center|thumb]]
=={{header|Liberty BASIC}}==
<syntaxhighlight lang="lb">
nomainwin
UpperLeftX=1:UpperLeftY=1
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close #1
end
</syntaxhighlight>
=={{header|Mathematica}} / {{header|Wolfram Language}}==
<
pts = Table[
i = N[ni];
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{ni, numseeds}
];
Graphics[pts]</
=={{header|Microsoft Small Basic}}==
{{trans|Ring}}
<
GraphicsWindow.Width=410
GraphicsWindow.Height=400
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y=r*Math.Cos(angle)+200
GraphicsWindow.DrawEllipse(x, y, i/numberofseeds*10, i/numberofseeds*10)
EndFor </
{{out}}
[https://1drv.ms/u/s!AoFH_AlpH9oZgf5kvtRou1Wuc5lSCg Sunflower fractal]
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{{trans|Go}}
{{libheader|imageman}}
<
import imageman
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image.drawCircle(x, y, toInt(8 * fi / Fn), Foreground)
image.savePNG("sunflower.png", compression = 9)</
=={{header|Objeck}}==
{{trans|C}}
<
use Game.Framework;
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SCREEN_HEIGHT := 480
}
</syntaxhighlight>
=={{header|Perl}}==
{{trans|Sidef}}
<
use constant π => 3.14159265;
use constant φ => (1 + sqrt(5)) / 2;
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}
print "</svg>\n";</
See [https://github.com/SqrtNegInf/Rosettacode-Perl5-Smoke/blob/master/ref/sunflower.svg Phi-packing image] (SVG image)
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{{libheader|Phix/online}}
You can run this online [http://phix.x10.mx/p2js/SunflowerFractal.htm here].
<!--<
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">numberofseeds</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">3000</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">main</span><span style="color: #0000FF;">()</span>
<!--</
=={{header|Processing}}==
{{trans|C}}
<syntaxhighlight lang="java">
//Abhishek Ghosh, 26th June 2022
size(1000,1000);
surface.setTitle("Sunflower...");
int iter = 3000;
float factor = .5 + sqrt(1.25),r,theta,diskRatio=0.5;
float x = width/2.0, y = height/2.0;
double maxRad = pow(iter,factor)/iter;
int i;
background(#add8e6); //Lightblue background
for(i=0;i<=iter;i++){
r = pow(i,factor)/iter;
if(r/maxRad < diskRatio){
stroke(#000000); // Black central disk
}
else
stroke(#ffff00); // Yellow Petals
theta = 2*PI*factor*i;
ellipse(x + r*sin(theta), y + r*cos(theta), 10 * i/(1.0*iter),10 * i/(1.0*iter));
}
</syntaxhighlight>
=={{header|Python}}==
<
from turtle import *
from math import *
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done()
</syntaxhighlight>
=={{header|R}}==
<syntaxhighlight lang="r">
phi=1/2+sqrt(5)/2
r=seq(0,1,length.out=2000)
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points(x[i],y[i],cex=size[i],lwd=thick[i],col="goldenrod1")
}
</syntaxhighlight>
{{Out}}
[https://raw.githubusercontent.com/schwartstack/sunflower/master/sunflower2.png Sunflower]
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{{trans|C}}
<
(require 2htdp/image)
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(+ (/ WIDTH 2) (* r (sin theta)))
(+ (/ HEIGHT 2) (* r (cos theta)))
image))</
=={{header|Raku}}==
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Or, to be completely accurate: It is a variation of a generative [[wp:Fermat's_spiral|Fermat's spiral]] using the Vogel model to implement phi-packing. See: [https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/ https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency]
<syntaxhighlight lang="raku"
my $seeds = 3000;
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|@c.map( { :circle[:cx(.[0]), :cy(.[1]), :r(.[2])] } ),
],
);</
See: [https://github.com/thundergnat/rc/blob/master/img/phi-packing-perl6.svg Phi packing] (SVG image)
=={{header|Ring}}==
<
# Project : Sunflower fractal
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}
label1 { setpicture(p1) show() }
</syntaxhighlight>
Output:
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=={{header|Sidef}}==
{{trans|Go}}
<
func draw_sunflower(seeds=3000) {
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var img = draw_sunflower()
img.write(file => "sunflower.png")</
Output image: [https://github.com/trizen/rc/blob/master/img/sunflower-sidef.png Sunflower fractal]
=={{header|V (Vlang)}}==
<syntaxhighlight lang="v (vlang)">import gg
import gx
import math
fn main() {
mut context := gg.new_context(
bg_color: gx.rgb(255, 255, 255)
width: 400
height: 400
frame_fn: frame
)
context.run()
}
fn frame(mut ctx gg.Context) {
ctx.begin()
c := (math.sqrt(5) + 1) / 2
num_of_seeds := 3000
for i := 0; i <= num_of_seeds; i++ {
mut fi := f64(i)
n := f64(num_of_seeds)
r := math.pow(fi, c) / n
angle := 2 * math.pi * c * fi
x := r*math.sin(angle) + 200
y := r*math.cos(angle) + 200
fi /= n / 5
ctx.draw_circle_filled(f32(x), f32(y), f32(fi), gx.black)
}
ctx.end()
}</syntaxhighlight>
=={{header|Wren}}==
{{trans|Go}}
{{libheader|DOME}}
<
import "dome" for Window
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}
}
}</
=={{header|XPL0}}==
[[File:SunflowerXPL0.gif|200px|thumb|right]]
<syntaxhighlight lang "XPL0">
proc DrawCircle(X0, Y0, R, Color);
int X0, Y0, R, Color;
int X, Y, R2;
[R2:= R*R;
for Y:= -R to +R do
for X:= -R to +R do
if X*X + Y*Y <= R2 then
Point(X+X0, Y+Y0, Color);
];
def Seeds = 3000, Color = $0E; \yellow
def ScrW = 800, ScrH = 600;
def Phi = (sqrt(5.)+1.) / 2.; \golden ratio (1.618...)
def Pi = 3.14159265358979323846;
real R, Angle, X, Y;
int I;
[SetVid($103);
for I:= 0 to Seeds-1 do
[R:= Pow(float(I), Phi) / float(Seeds/2);
Angle:= 2. * Pi * Phi * float(I);
X:= R*Sin(Angle);
Y:= R*Cos(Angle);
DrawCircle(ScrW/2+fix(X), ScrH/2-fix(Y), I*7/Seeds, Color);
];
]</syntaxhighlight>
=={{header|Yabasic}}==
{{trans|Wren}}
<
// Adapted from Wren to Yabasic by Galileo, 01/2022
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y = r * cos(angle) + 200
circle x, y, i / seeds * 5
next</
=={{header|zkl}}==
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Uses Image Magick and
the PPM class from http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm#zkl
<
img,color := PPM(400,400), 0x00ff00; // green
c:=((5.0).sqrt() + 1)/2;
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}
img.writeJPGFile("sunflower.zkl.jpg");
}();</
{{out}}
Image at [http://www.zenkinetic.com/Images/RosettaCode/sunflower.zkl.jpg sunflower fractal]
| |||