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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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---
from: http://rosettacode.org/wiki/Polyspiral

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A [http://www.otherwise.com/Jurtle/screenshots_win/assets/DisplayWindow_Full.png Polyspiral] is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle.
;Task
Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the background) drawing the next, and so on. Every spiral will be a frame of the animation. The animation may stop as it goes full circle or continue indefinitely. The given input values may be varied.
If animation is not practical in your programming environment, you may show a single frame instead.
;Pseudo code
<pre>
set incr to 0.0
// animation loop
WHILE true
incr = (incr + 0.05) MOD 360
x = width / 2
y = height / 2
length = 5
angle = incr
// spiral loop
FOR 1 TO 150
drawline
change direction by angle
length = length + 3
angle = (angle + incr) MOD 360
ENDFOR
</pre>
<br><br>

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INCLUDE "H6:REALMATH.ACT"
INT ARRAY SinTab=[
0 4 9 13 18 22 27 31 36 40 44 49 53 58 62 66 71 75 79 83
88 92 96 100 104 108 112 116 120 124 128 132 136 139 143
147 150 154 158 161 165 168 171 175 178 181 184 187 190
193 196 199 202 204 207 210 212 215 217 219 222 224 226
228 230 232 234 236 237 239 241 242 243 245 246 247 248
249 250 251 252 253 254 254 255 255 255 256 256 256 256]
INT FUNC Sin(INT a)
WHILE a<0 DO a==+360 OD
WHILE a>360 DO a==-360 OD
IF a<=90 THEN
RETURN (SinTab(a))
ELSEIF a<=180 THEN
RETURN (SinTab(180-a))
ELSEIF a<=270 THEN
RETURN (-SinTab(a-180))
ELSE
RETURN (-SinTab(360-a))
FI
RETURN (0)
INT FUNC Cos(INT a)
RETURN (Sin(a-90))
PROC DrawSpiral(INT x0,y0)
INT i,angle,x,y,tmp
REAL rx,ry,len,dlen,r1,r2,r3,r256
IntToReal(x0,rx)
IntToReal(y0,ry)
ValR("1.9",len)
ValR("1.14",dlen)
IntToReal(256,r256)
angle=0
Plot(x0,y0)
FOR i=1 TO 150
DO
tmp=Cos(angle)
IntToRealForNeg(tmp,r1)
RealDiv(r1,r256,r2)
RealMult(r2,len,r1)
RealAdd(rx,r1,r2)
RealAssign(r2,rx)
tmp=Sin(angle)
IntToRealForNeg(tmp,r1)
RealDiv(r1,r256,r2)
RealMult(r2,len,r1)
RealAdd(ry,r1,r2)
RealAssign(r2,ry)
x=RealToInt(rx)
y=RealToInt(ry)
DrawTo(x,y)
RealAdd(len,dlen,r1)
RealAssign(r1,len)
angle==+123
IF angle>360 THEN
angle==-360
FI
OD
RETURN
PROC Main()
BYTE CH=$02FC,COLOR1=$02C5,COLOR2=$02C6
Graphics(8+16)
Color=1
COLOR1=$0C
COLOR2=$02
DrawSpiral(160,96)
DO UNTIL CH#$FF OD
CH=$FF
RETURN

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If !pToken := Gdip_Startup()
{
MsgBox, 48, gdiplus error!, Gdiplus failed to start. Please ensure you have gdiplus on your system
ExitApp
}
OnExit, Exit
gdip1()
incr := 0
π := 3.141592653589793
loop
{
incr := Mod(incr + 0.05, 360)
x1 := Width/2
y1 := Height/2
length := 5
angle := incr
Gdip_FillRoundedRectangle(G, pBrush, 0, 0, Width, Height, 0)
loop 150
{
x2 := x1 + length * Cos(angle * π/180)
y2 := y1 + length * Sin(angle * π/180)
Gdip_DrawLine(G, pPen, x1, y1, x2, y2)
x1 := x2
y1 := y2
length := length + 3
angle := Mod(angle + incr, 360)
}
UpdateLayeredWindow(hwnd1, hdc, -1, -1, Width, Height)
Sleep 25
}
return
;----------------------------------------------------------------
Esc:: Pause, toggle
^Esc::ExitApp
;----------------------------------------------------------------
gdip1(){
global
Width := A_ScreenWidth+1, Height := A_ScreenHeight+1
Gui, 1: -Caption +E0x80000 +LastFound +OwnDialogs +Owner +AlwaysOnTop
Gui, 1: Show, NA
hwnd1 := WinExist()
hbm := CreateDIBSection(Width, Height)
hdc := CreateCompatibleDC()
obm := SelectObject(hdc, hbm)
G := Gdip_GraphicsFromHDC(hdc)
Gdip_SetSmoothingMode(G, 4)
pBrush := Gdip_BrushCreateSolid("0xFF000000")
pPen := Gdip_CreatePen("0xFF00FF00", 1)
}
;----------------------------------------------------------------
gdip2(){
global
Gdip_DeletePen(pPen)
Gdip_DeleteBrush(pBrush)
SelectObject(hdc, obm)
DeleteObject(hbm)
DeleteDC(hdc)
Gdip_DeleteGraphics(G)
}
;----------------------------------------------------------------
Exit:
gdip2()
Gdip_Shutdown(pToken)
ExitApp
Return
;----------------------------------------------------------------

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#include <windows.h>
#include <sstream>
#include <ctime>
const float PI = 3.1415926536f, TWO_PI = 2.f * PI;
class vector2
{
public:
vector2( float a = 0, float b = 0 ) { set( a, b ); }
void set( float a, float b ) { x = a; y = b; }
void rotate( float r ) {
float _x = x, _y = y,
s = sinf( r ), c = cosf( r ),
a = _x * c - _y * s, b = _x * s + _y * c;
x = a; y = b;
}
vector2 add( const vector2& v ) {
x += v.x; y += v.y;
return *this;
}
float x, y;
};
class myBitmap
{
public:
myBitmap() : pen( NULL ), brush( NULL ), clr( 0 ), wid( 1 ) {}
~myBitmap(){
DeleteObject( pen );
DeleteObject( brush );
DeleteDC( hdc );
DeleteObject( bmp );
}
bool create( int w, int h ){
BITMAPINFO bi;
ZeroMemory( &bi, sizeof( bi ) );
bi.bmiHeader.biSize = sizeof( bi.bmiHeader );
bi.bmiHeader.biBitCount = sizeof( DWORD ) * 8;
bi.bmiHeader.biCompression = BI_RGB;
bi.bmiHeader.biPlanes = 1;
bi.bmiHeader.biWidth = w;
bi.bmiHeader.biHeight = -h;
HDC dc = GetDC( GetConsoleWindow() );
bmp = CreateDIBSection( dc, &bi, DIB_RGB_COLORS, &pBits, NULL, 0 );
if( !bmp ) return false;
hdc = CreateCompatibleDC( dc );
SelectObject( hdc, bmp );
ReleaseDC( GetConsoleWindow(), dc );
width = w; height = h;
return true;
}
void clear( BYTE clr = 0 ){
memset( pBits, clr, width * height * sizeof( DWORD ) );
}
void setBrushColor( DWORD bClr ){
if( brush ) DeleteObject( brush );
brush = CreateSolidBrush( bClr );
SelectObject( hdc, brush );
}
void setPenColor( DWORD c ){
clr = c; createPen();
}
void setPenWidth( int w ){
wid = w; createPen();
}
void saveBitmap( std::string path ){
BITMAPFILEHEADER fileheader;
BITMAPINFO infoheader;
BITMAP bitmap;
DWORD wb;
GetObject( bmp, sizeof( bitmap ), &bitmap );
DWORD* dwpBits = new DWORD[bitmap.bmWidth * bitmap.bmHeight];
ZeroMemory( dwpBits, bitmap.bmWidth * bitmap.bmHeight * sizeof( DWORD ) );
ZeroMemory( &infoheader, sizeof( BITMAPINFO ) );
ZeroMemory( &fileheader, sizeof( BITMAPFILEHEADER ) );
infoheader.bmiHeader.biBitCount = sizeof( DWORD ) * 8;
infoheader.bmiHeader.biCompression = BI_RGB;
infoheader.bmiHeader.biPlanes = 1;
infoheader.bmiHeader.biSize = sizeof( infoheader.bmiHeader );
infoheader.bmiHeader.biHeight = bitmap.bmHeight;
infoheader.bmiHeader.biWidth = bitmap.bmWidth;
infoheader.bmiHeader.biSizeImage = bitmap.bmWidth * bitmap.bmHeight * sizeof( DWORD );
fileheader.bfType = 0x4D42;
fileheader.bfOffBits = sizeof( infoheader.bmiHeader ) + sizeof( BITMAPFILEHEADER );
fileheader.bfSize = fileheader.bfOffBits + infoheader.bmiHeader.biSizeImage;
GetDIBits( hdc, bmp, 0, height, ( LPVOID )dwpBits, &infoheader, DIB_RGB_COLORS );
HANDLE file = CreateFile( path.c_str(), GENERIC_WRITE, 0, NULL, CREATE_ALWAYS, FILE_ATTRIBUTE_NORMAL, NULL );
WriteFile( file, &fileheader, sizeof( BITMAPFILEHEADER ), &wb, NULL );
WriteFile( file, &infoheader.bmiHeader, sizeof( infoheader.bmiHeader ), &wb, NULL );
WriteFile( file, dwpBits, bitmap.bmWidth * bitmap.bmHeight * 4, &wb, NULL );
CloseHandle( file );
delete [] dwpBits;
}
HDC getDC() const { return hdc; }
int getWidth() const { return width; }
int getHeight() const { return height; }
private:
void createPen(){
if( pen ) DeleteObject( pen );
pen = CreatePen( PS_SOLID, wid, clr );
SelectObject( hdc, pen );
}
HBITMAP bmp; HDC hdc;
HPEN pen; HBRUSH brush;
void *pBits; int width, height, wid;
DWORD clr;
};
int main( int argc, char* argv[] ) {
srand( unsigned( time( 0 ) ) );
myBitmap bmp;
bmp.create( 600, 600 ); bmp.clear();
HDC dc = bmp.getDC();
float fs = ( TWO_PI ) / 100.f;
int index = 0;
std::string a = "f://users//images//test", b;
float ang, len;
vector2 p1, p2;
for( float step = 0.1f; step < 5.1f; step += .05f ) {
ang = 0; len = 2;
p1.set( 300, 300 );
bmp.setPenColor( RGB( rand() % 50 + 200, rand() % 300 + 220, rand() % 50 + 200 ) );
for( float xx = 0; xx < TWO_PI; xx += fs ) {
MoveToEx( dc, (int)p1.x, (int)p1.y, NULL );
p2.set( 0, len ); p2.rotate( ang ); p2.add( p1 );
LineTo( dc, (int)p2.x, (int)p2.y );
p1 = p2; ang += step; len += step;
}
std::ostringstream ss; ss << index++;
b = a + ss.str() + ".bmp";
bmp.saveBitmap( b );
bmp.clear();
}
return 0;
}

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using System;
using System.Drawing;
using System.Drawing.Drawing2D;
using System.Windows.Forms;
using System.Windows.Threading;
namespace Polyspiral
{
public partial class Form1 : Form
{
private double inc;
public Form1()
{
Width = Height = 640;
StartPosition = FormStartPosition.CenterScreen;
SetStyle(
ControlStyles.AllPaintingInWmPaint |
ControlStyles.UserPaint |
ControlStyles.DoubleBuffer,
true);
var timer = new DispatcherTimer();
timer.Tick += (s, e) => { inc = (inc + 0.05) % 360; Refresh(); };
timer.Interval = new TimeSpan(0, 0, 0, 0, 40);
timer.Start();
}
private void DrawSpiral(Graphics g, int len, double angleIncrement)
{
double x1 = Width / 2;
double y1 = Height / 2;
double angle = angleIncrement;
for (int i = 0; i < 150; i++)
{
double x2 = x1 + Math.Cos(angle) * len;
double y2 = y1 - Math.Sin(angle) * len;
g.DrawLine(Pens.Blue, (int)x1, (int)y1, (int)x2, (int)y2);
x1 = x2;
y1 = y2;
len += 3;
angle = (angle + angleIncrement) % (Math.PI * 2);
}
}
protected override void OnPaint(PaintEventArgs args)
{
var g = args.Graphics;
g.SmoothingMode = SmoothingMode.AntiAlias;
g.Clear(Color.White);
DrawSpiral(g, 5, ToRadians(inc));
}
private double ToRadians(double angle)
{
return Math.PI * angle / 180.0;
}
}
}

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#include<graphics.h>
#include<math.h>
#define factor M_PI/180
#define LAG 1000
void polySpiral(int windowWidth,int windowHeight){
int incr = 0, angle, i, length;
double x,y,x1,y1;
while(1){
incr = (incr + 5)%360;
x = windowWidth/2;
y = windowHeight/2;
length = 5;
angle = incr;
for(i=1;i<=150;i++){
x1 = x + length*cos(factor*angle);
y1 = y + length*sin(factor*angle);
line(x,y,x1,y1);
length += 3;
angle = (angle + incr)%360;
x = x1;
y = y1;
}
delay(LAG);
cleardevice();
}
}
int main()
{
initwindow(500,500,"Polyspiral");
polySpiral(500,500);
closegraph();
return 0;
}

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import javafx.application {
Application
}
import javafx.stage {
Stage
}
import javafx.animation {
AnimationTimer
}
import ceylon.numeric.float {
remainder,
cos,
sin,
toRadians
}
import javafx.scene.layout {
BorderPane
}
import javafx.scene.canvas {
Canvas
}
import javafx.scene {
Scene
}
import javafx.scene.paint {
Color
}
shared void run() {
Application.launch(`PolySpiralApp`);
}
shared class PolySpiralApp() extends Application() {
value width = 600.0;
value height = 600.0;
variable value incr = 0.0;
shared actual void start(Stage primaryStage) {
value canvas = Canvas(width, height);
value graphics = canvas.graphicsContext2D;
object extends AnimationTimer() {
shared actual void handle(Integer now) {
incr = remainder(incr + 0.05, 360.0);
variable value x = width / 2.0;
variable value y = width / 2.0;
variable value length = 5.0;
variable value angle = incr;
graphics.fillRect(0.0, 0.0, width, height);
graphics.beginPath();
graphics.moveTo(x, y);
for (i in 1..150) {
value radians = toRadians(angle);
x = x + cos(radians) * length;
y = y + sin(radians) * length;
graphics.stroke = Color.hsb(angle, 1.0, 1.0);
graphics.lineTo(x, y);
length += 3;
angle = remainder(angle + incr, 360.0);
}
graphics.stroke();
}
}.start();
value root = BorderPane();
root.center = canvas;
value scene = Scene(root);
primaryStage.title = "poly-spiral";
primaryStage.setScene(scene);
primaryStage.show();
}
}

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procedure PolySpiral(Image: TImage);
var Step,Angle,LineLen,I: integer;
var X,Y,X1,Y1: double;
begin
AbortFlag:=False;
ClearImage(Image,clBlack);
Image.Canvas.Pen.Width:=1;
while true do
begin
Image.Canvas.Pen.Color:=clYellow;
Step:=(Step + 5) mod 360;
X:=Image.Width/2;
Y:=Image.Height/2;
LineLen:=5;
angle:=Step;
for I:=1 to 150 do
begin
X1:=X + LineLen*cos(DegToRad(angle));
Y1:=Y + LineLen*sin(DegToRad(angle));
Image.Canvas.MoveTo(Round(X),Round(Y));
Image.Canvas.LIneTo(Round(X1),Round(Y1));
Image.Repaint;
LineLen:=LineLen+2;
Angle:=(Angle + Step) mod 360;
X:=X1;
Y:=Y1;
end;
if Application.Terminated then exit;
if AbortFlag then break;
Sleep(1200);
Application.ProcessMessages;
WaitForButton;
ClearImage(Image,clBlack);
end;
end;

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#include "fbgfx.bi"
#if __FB_LANG__ = "fb"
Using FB '' Scan code constants are stored in the FB namespace in lang FB
#endif
#define pi 4 * Atn(1)
#define Deg2Rad pi/180
Dim As Integer w = 900, h = w
Screenres w, h, 8
Windowtitle "Polyspiral"
Dim As Integer incr = 0, angulo, longitud, x1, y1, x2, y2, N
Do
incr += 1
x1 = w / 2
y1 = h / 2
Pset (Fix(x1), Fix(y1))
longitud = 5
angulo = incr
For N = 1 To 150
x2 = x1 + longitud * Cos(angulo * Deg2Rad)
y2 = y1 + longitud * Sin(angulo * Deg2Rad)
Line - (Fix(x2), Fix(y2)), N+16
x1 = x2
y1 = y2
longitud += 3
angulo += incr
Next N
Sleep 500
Cls
Loop Until Multikey(SC_ESCAPE)

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local fn DoIt
NSInteger i, t
double length, incr, x1, y1, x2, y2, twopi, angle, w, h
pen 2.0, fn ColorRed, NSLineCapStyleButt, NULL, 0
incr = 0 : twopi = 2 * pi
w = 600 : h = 600
t = 150
while ( t > 0 )
incr = ( incr + 0.05 mod twopi )
x1 = w / 2
y1 = h / 2
length = 1.0
angle = incr
line to x1, y1
cls
for i = 1 to 300
x2 = x1 + cos( angle ) * length
y2 = y1 + sin( angle ) * length
line to x1, y1 to x2, y2
x1 = x2 : y1 = y2
length = length + 1.0
angle = ( angle + incr mod twopi )
next
t--
wend
end fn
window 1, @"Rosetta Code Polyspiral", fn CGRectMake( 0, 0, 600, 600 )
WindowSetBackgroundColor( 1, fn ColorBlack )
fn DoIt
HandleEvents

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## plotpoly.gp 1/10/17 aev
## Plotting a polyspiral and writing to the png-file.
## Note: assign variables: rng, d, clr, filename and ttl (before using load command).
## Direction d (-1 clockwise / 1 counter-clockwise)
reset
set terminal png font arial 12 size 640,640
ofn=filename.".png"
set output ofn
unset border; unset xtics; unset ytics; unset key;
set title ttl font "Arial:Bold,12"
set parametric
c=rng*pi; set xrange[-c:c]; set yrange[-c:c];
set dummy t
plot [0:c] t*cos(d*t), t*sin(d*t) lt rgb @clr
set output

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## PSpirals.gp 1/10/17 aev
## Plotting many polyspiral pictures.
## Note: assign variables: rng, d, clr, filename and ttl (before using load command).
## Direction d (-1 clockwise / 1 counter-clockwise)
#cd 'C:\gnupData'
##PS0 smooth spiral (not a polyspiral)
reset
set terminal png font arial 12 size 640,640
set output "PS0gp.png"
set title "Smooth spiral #0 rng=10" font "Arial:Bold,12"
set parametric
c=10*pi; set trange [0:c]; set xrange[-c:c]; set yrange[-c:c];
set samples 1000
plot t*cos(t), t*sin(t) lt rgb "red"
set output
##PS1 A polyspiral (Same size as PS0).
rng=10; d=1; clr = '"dark-green"';
filename = "PS1gp"; ttl = "Polyspiral #1 rng=10";
load "plotpoly.gp"
##PS3 A polyspiral
rng=20; d=-1; clr = '"red"';
filename = "PS3gp"; ttl = "Polyspiral #3 rng=20";
load "plotpoly.gp"
##PS4 A polyspiral having 4 secondary spirals.
rng=50; d=-1; clr = '"navy"';
filename = "PS4gp"; ttl = "Polyspiral #4 rng=50";
load "plotpoly.gp"
##PS5 Not a polyspiral, but has 8 secondary spirals.
rng=75; d=-1; clr = '"navy"';
filename = "PS5gp"; ttl = "Polyspiral #5 rng=75";
load "plotpoly.gp"
##PS6 Not a polyspiral, just a nice figure (seen in zkl).
rng=100; d=-1; clr = '"navy"';
filename = "PS6gp"; ttl = "Polyspiral #6 rng=100";
load "plotpoly.gp"
##==============================
#### NO PICTURES on RC starting from here, test it yourself
##PS2 A polyspiral
rng=20; d=1; clr = '"red"';
filename = "PS2gp"; ttl = "Polyspiral #2 rng=20";
load "plotpoly.gp"
##PS7 Looks like PS5, but has 5 secondary spirals (not 8)
rng=120; d=-1; clr = '"green"';
filename = "PS7gp"; ttl = "Polyspiral #7 rng=120";
load "plotpoly.gp"
##PS8 Looks like PS4, but more distortion.
rng=150; d=-1; clr = '"green"';
filename = "PS8gp"; ttl = "Polyspiral #8 rng=150";
load "plotpoly.gp"
##PS9 Looks like PS2, but less loops..
rng=175; d=-1; clr = '"green"';
filename = "PS9gp"; ttl = "Polyspiral #9 rng=175";
load "plotpoly.gp"
##PS10 One loop of a spiral
rng=200; d=-1; clr = '"green"';
filename = "PS10gp"; ttl = "Polyspiral #10 rng=200";
load "plotpoly.gp"
##PS11 Polyspiral with line segments crossing other line segments.
rng=30; d=-1; clr = '"navy"';
filename = "PS11gp"; ttl = "Polyspiral #11 rng=30";
load "plotpoly.gp"
##PS12 Looks like PS4, but has 5 secondary spirals.
rng=40; d=-1; clr = '"navy"';
filename = "PS12gp"; ttl = "Polyspiral #12 rng=40";
load "plotpoly.gp"
##PS13 Looks like PS5, but has 8 secondary spirals.
rng=60; d=-1; clr = '"navy"';
filename = "PS13gp"; ttl = "Polyspiral #13 rng=60";
load "plotpoly.gp"
##PS14 Looks like PS4, but has 5 secondary spirals.
rng=80; d=-1; clr = '"navy"'
filename = "PS14gp"; ttl = "Polyspiral #14 rng=80";
load "plotpoly.gp"
##PS15 Not a polyspiral. Hmmm, just a star?
rng=90; d=-1; clr = '"navy"';
filename = "PS15gp"; ttl = "Polyspiral #15 rng=90";
load "plotpoly.gp"
##PS16 Not a polyspiral. Hmmm, just another star?
rng=300; d=-1; clr = '"navy"';
filename = "PS16gp"; ttl = "Polyspiral #16 rng=300";
load "plotpoly.gp"
## Continue plotting starting with a range rng=110 to 400+ step 10 to discover new figures.
## END ##

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## plotpolya.gp 1/19/17 aev
## Plotting a polyspiral and writing to the png-file. Simple plot for animation.
## Note: assign variables: rng, d, clr, filename (before using load command).
## ==== NO ttl (title) in this version.
reset
set terminal png font arial 12 size 640,640
ofn=filename.".png"
set output ofn
unset border; unset xtics; unset ytics; unset key;
set parametric
c=rng*pi; set xrange[-c:c]; set yrange[-c:c];
set dummy t
plot [0:c] t*cos(d*t), t*sin(d*t) lt rgb @clr
set output

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## PSpirals4a.gp 1/19/17 aev
## Plotting many polyspiral and other pictures for animation
## Notes: 1. Assign variables: rng, d, clr, filename(before using load command).
## ====== 2. NO title in this version.
## 3. Primarily range is changed.
## Direction d (-1 clockwise / 1 counter-clockwise)
#cd 'C:\gnupData'
##====== for PolySpirsAnim.gif ==========================================
##PS0 A polyspiral (direction: counter-clockwise).
rng=10; d=1; clr = '"red"'; filename = "PS0"; load "plotpolya.gp";
##PS1 A polyspiral (direction: clockwise).
rng=20; d=-1; clr = '"red"'; filename = "PS1"; load "plotpolya.gp";
##PS2 A polyspiral. Looks like PS1, but less loops..
rng=175; d=-1; clr = '"red"'; filename = "PS2"; load "plotpolya.gp";
##PS3 Polyspiral with line segments crossing other line segments.
rng=30; d=-1; clr = '"red"'; filename = "PS3"; load "plotpolya.gp";
##PS4 A polyspiral having 4 secondary spirals.
rng=50; d=-1; clr = '"red"'; filename = "PS4"; load "plotpolya.gp";
##PS5 A polyspiral. Looks like PS4, but has 5 secondary spirals.
rng=40; d=-1; clr = '"red"'; filename = "PS5"; load "plotpolya.gp";
##PS6 A polyspiral. Looks like PS4, but has more distortion.
rng=150; d=-1; clr = '"red"'; filename = "PS6"; load "plotpolya.gp";
##PS7 A polyspiral. Has 8 secondary spirals and even more distortion.
rng=60; d=-1; clr = '"red"'; filename = "PS7"; load "plotpolya.gp";
##====== for NiceFigsAnim.gif ==========================================
##PS8 Not a polyspiral, but has 8 secondary spirals.
rng=75; d=-1; clr = '"navy"'; filename = "PS8"; load "plotpolya.gp";
##PS9 Looks like PS8, but has 5 secondary spirals.
rng=80; d=-1; clr = '"navy"'; filename = "PS9"; load "plotpolya.gp";
##PS10 Looks like PS8, but has 5 secondary spirals (not 8)
rng=120; d=-1; clr = '"navy"'; filename = "PS10"; load "plotpolya.gp";
##PS11 Not a polyspiral, just nice figure.
rng=100; d=-1; clr = '"navy"'; filename = "PS11"; load "plotpolya.gp";
##PS12 Not a polyspiral. Hmmm, just a star?
rng=90; d=-1; clr = '"navy"'; filename = "PS12"; load "plotpolya.gp";
##PS13 Not a polyspiral. Hmmm, just another star?
rng=300; d=-1; clr = '"navy"'; filename = "PS13"; load "plotpolya.gp";
##PS14 Not a polyspiral, but has many short secondary spirals.
rng=700; d=-1; clr = '"navy"'; filename = "PS14"; load "plotpolya.gp";

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## Animation for polyspirals PS0 - PS6
reset
set terminal gif animate delay 100 loop 2 size 640,640
set output 'PolySpirsAnim.gif'
unset border; unset xtics; unset ytics; unset key;
unset autoscale
set xrange[0:640]
set yrange[0:640]
do for [i=0:6]{plot 'PS'.i.'.png' binary filetype=png with rgbimage}
set output
## Animation for nice figures PS8 - PS14
reset
set terminal gif animate delay 100 loop 2 size 640,640
set output 'NiceFigsAnim.gif'
unset border; unset xtics; unset ytics; unset key;
unset autoscale
set xrange[0:640]
set yrange[0:640]
do for [i=8:14]{plot 'PS'.i.'.png' binary filetype=png with rgbimage}
set output

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<!-- PolySpirsAnim.html -->
<html><body>
<h3>Gnuplot: Polyspirals animation >>
<a href="NiceFigsAnim.html">Next: Nice figures animation</a></h3>
<img src="PolySpirsAnim.gif">
</body></html>

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<!-- NiceFigsAnim.html -->
<html><body>
<h3>Gnuplot: Nice figures animation >>
<a href="PolySpirsAnim.html">Next: Polyspirals animation</a></h3>
<img src="NiceFigsAnim.gif">
</body></html>

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package main
import (
"image"
"image/color"
"image/gif"
"log"
"math"
"os"
)
func drawLine(img *image.Paletted, x1, y1, x2, y2 int, ci uint8) {
var first, last int
if x2 != x1 {
m := float64(y2-y1) / float64(x2-x1)
if x1 < x2 {
first, last = x1, x2
} else {
first, last = x2, x1
}
for x := first; x <= last; x++ {
y := int(m*float64(x-x1)+0.5) + y1
img.SetColorIndex(x, y, ci)
}
} else {
if y1 < y2 {
first, last = y1, y2
} else {
first, last = y2, y1
}
for y := first; y <= last; y++ {
img.SetColorIndex(x1, y, ci)
}
}
}
func setBackgroundColor(img *image.Paletted, w, h int, ci uint8) {
for x := 0; x < w; x++ {
for y := 0; y < h; y++ {
img.SetColorIndex(x, y, ci)
}
}
}
func hsb2rgb(hue, sat, bri float64) (r, g, b int) {
u := int(bri*255 + 0.5)
if sat == 0 {
r, g, b = u, u, u
} else {
h := (hue - math.Floor(hue)) * 6
f := h - math.Floor(h)
p := int(bri*(1-sat)*255 + 0.5)
q := int(bri*(1-sat*f)*255 + 0.5)
t := int(bri*(1-sat*(1-f))*255 + 0.5)
switch int(h) {
case 0:
r, g, b = u, t, p
case 1:
r, g, b = q, u, p
case 2:
r, g, b = p, u, t
case 3:
r, g, b = p, q, u
case 4:
r, g, b = t, p, u
case 5:
r, g, b = u, p, q
}
}
return
}
func main() {
const degToRad = math.Pi / 180
const nframes = 360
const delay = 20 // 200ms
width, height := 640, 640
anim := gif.GIF{LoopCount: nframes}
rect := image.Rect(0, 0, width, height)
palette := make([]color.Color, 151)
palette[0] = color.White
for i := 1; i <= 150; i++ {
r, g, b := hsb2rgb(float64(i)/150, 1, 1)
palette[i] = color.RGBA{uint8(r), uint8(g), uint8(b), 255}
}
incr := 0
for f := 1; f <= nframes; f++ {
incr = (incr + 1) % 360
x1, y1 := width/2, height/2
length := 5.0
img := image.NewPaletted(rect, palette)
setBackgroundColor(img, width, height, 0) // white background
angle := incr
for ci := uint8(1); ci <= 150; ci++ {
x2 := x1 + int(math.Cos(float64(angle)*degToRad)*length)
y2 := y1 - int(math.Sin(float64(angle)*degToRad)*length)
drawLine(img, x1, y1, x2, y2, ci)
x1, y1 = x2, y2
length += 3
angle = (angle + incr) % 360
}
anim.Delay = append(anim.Delay, delay)
anim.Image = append(anim.Image, img)
}
file, err := os.Create("polyspiral.gif")
if err != nil {
log.Fatal(err)
}
defer file.Close()
if err2 := gif.EncodeAll(file, &anim); err != nil {
log.Fatal(err2)
}
}

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{-# LANGUAGE OverloadedStrings #-}
import Reflex
import Reflex.Dom
import Reflex.Dom.Time
import Data.Text (Text, pack)
import Data.Map (Map, fromList)
import Data.Time.Clock (getCurrentTime)
import Control.Monad.Trans (liftIO)
type Point = (Float,Float)
type Segment = (Point,Point)
main = mainWidget $ do
-- An event that fires every 0.05 seconds.
dTick <- tickLossy 0.05 =<< liftIO getCurrentTime
-- A dynamically updating counter.
dCounter <- foldDyn (\_ c -> c+1) (0::Int) dTick
let
-- A dynamically updating angle.
dAngle = fmap (\c -> fromIntegral c / 800.0) dCounter
-- A dynamically updating spiral
dSpiralMap = fmap toSpiralMap dAngle
-- svg parameters
width = 600
height = 600
boardAttrs =
fromList [ ("width" , pack $ show width)
, ("height", pack $ show height)
, ("viewBox", pack $ show (-width/2) ++ " " ++ show (-height/2) ++ " " ++ show width ++ " " ++ show height)
]
elAttr "h1" ("style" =: "color:black") $ text "Polyspiral"
elAttr "a" ("href" =: "http://rosettacode.org/wiki/Polyspiral#Haskell") $ text "Rosetta Code / Polyspiral / Haskell"
el "br" $ return ()
elSvgns "svg" (constDyn boardAttrs) (listWithKey dSpiralMap showLine)
return ()
-- The svg attributes needed to display a line segment.
lineAttrs :: Segment -> Map Text Text
lineAttrs ((x1,y1), (x2,y2)) =
fromList [ ( "x1", pack $ show x1)
, ( "y1", pack $ show y1)
, ( "x2", pack $ show x2)
, ( "y2", pack $ show y2)
, ( "style", "stroke:blue")
]
-- Use svg to display a line segment.
showLine :: MonadWidget t m => Int -> Dynamic t Segment -> m ()
showLine _ dSegment = elSvgns "line" (lineAttrs <$> dSegment) $ return ()
-- Given a point and distance/bearing , get the next point
advance :: Float -> (Point, Float, Float) -> (Point, Float, Float)
advance angle ((x,y), len, rot) =
let new_x = x + len * cos rot
new_y = y + len * sin rot
new_len = len + 3.0
new_rot = rot + angle
in ((new_x, new_y), new_len, new_rot)
-- Given an angle, generate a map of segments that form a spiral.
toSpiralMap :: Float -> Map Int ((Float,Float),(Float,Float))
toSpiralMap angle =
fromList -- changes list to map (for listWithKey)
$ zip [0..] -- annotates segments with index
$ (\pts -> zip pts $ tail pts) -- from points to line segments
$ take 80 -- limit the number of points
$ (\(pt,_,_) -> pt) -- cull out the (x,y) values
<$> iterate (advance angle) ((0, 0), 0, 0) -- compute the spiral
-- Display an element in svg namespace
elSvgns :: MonadWidget t m => Text -> Dynamic t (Map Text Text) -> m a -> m a
elSvgns t m ma = do
(el, val) <- elDynAttrNS' (Just "http://www.w3.org/2000/svg") t m ma
return val

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100 PROGRAM "PolySp.bas"
110 OPTION ANGLE DEGREES
120 LET CH=2
130 SET VIDEO X 40:SET VIDEO Y 27:SET VIDEO MODE 1:SET VIDEO COLOR 0
140 OPEN #1:"video:"
150 OPEN #2:"video:"
160 WHEN EXCEPTION USE POSERROR
170 FOR ANG=40 TO 150 STEP 2
180 IF CH=2 THEN
190 LET CH=1
200 ELSE
210 LET CH=2
220 END IF
230 CLEAR #CH
240 PLOT #CH:640,468,ANGLE 180;
250 FOR D=12 TO 740 STEP 4
260 PLOT #CH:FORWARD D,RIGHT ANG;
270 NEXT
280 DISPLAY #CH:AT 1 FROM 1 TO 27
290 NEXT
300 END WHEN
310 HANDLER POSERROR
320 LET D=740
330 CONTINUE
340 END HANDLER

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require 'gl2 trig media/imagekit'
coinsert 'jgl2'
DT =: %30 NB. seconds
ANGLE =: 0.025p1 NB. radians
DIRECTION=: 0 NB. radians
POLY=: noun define
pc poly;pn "Poly Spiral";
minwh 320 320; cc isi isigraph;
)
poly_run=: verb define
wd POLY,'pshow'
wd 'timer ',":DT * 1000
)
poly_close=: verb define
wd 'timer 0; pclose'
)
sys_timer_z_=: verb define
recalcAngle_base_ ''
wd 'psel poly; set isi invalid'
)
poly_isi_paint=: verb define
drawPolyspiral DIRECTION
)
recalcAngle=: verb define
DIRECTION=: 2p1 | DIRECTION + ANGLE
)
drawPolyspiral=: verb define
glclear''
x1y1 =. (glqwh'')%2
a=. -DIRECTION
len=. 5
for_i. i.150 do.
glpen glrgb Hue a % 2p1
x2y2=. x1y1 + len*(cos,sin) a
gllines <.x1y1,x2y2
x1y1=. x2y2
len=. len+3
a=. 2p1 | a - DIRECTION
end.
)
poly_run''

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import java.awt.*;
import java.awt.event.ActionEvent;
import javax.swing.*;
public class PolySpiral extends JPanel {
double inc = 0;
public PolySpiral() {
setPreferredSize(new Dimension(640, 640));
setBackground(Color.white);
new Timer(40, (ActionEvent e) -> {
inc = (inc + 0.05) % 360;
repaint();
}).start();
}
void drawSpiral(Graphics2D g, int len, double angleIncrement) {
double x1 = getWidth() / 2;
double y1 = getHeight() / 2;
double angle = angleIncrement;
for (int i = 0; i < 150; i++) {
g.setColor(Color.getHSBColor(i / 150f, 1.0f, 1.0f));
double x2 = x1 + Math.cos(angle) * len;
double y2 = y1 - Math.sin(angle) * len;
g.drawLine((int) x1, (int) y1, (int) x2, (int) y2);
x1 = x2;
y1 = y2;
len += 3;
angle = (angle + angleIncrement) % (Math.PI * 2);
}
}
@Override
public void paintComponent(Graphics gg) {
super.paintComponent(gg);
Graphics2D g = (Graphics2D) gg;
g.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
RenderingHints.VALUE_ANTIALIAS_ON);
drawSpiral(g, 5, Math.toRadians(inc));
}
public static void main(String[] args) {
SwingUtilities.invokeLater(() -> {
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.setTitle("PolySpiral");
f.setResizable(true);
f.add(new PolySpiral(), BorderLayout.CENTER);
f.pack();
f.setLocationRelativeTo(null);
f.setVisible(true);
});
}
}

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<!-- Polyspiral.html -->
<html>
<head><title>Polyspiral Generator</title></head>
<script>
// Basic function for family of Polyspirals
// Where: rng - range (prime parameter), w2 - half of canvas width,
// d - direction (1 - clockwise, -1 - counter clockwise).
function ppsp(ctx, rng, w2, d) {
// Note: coefficients c, it, sc, sc2, sc3 are selected to fit canvas.
var c=Math.PI*rng, it=c/w2, sc=2, sc2=50, sc3=0.1, t, x, y;
console.log("Polyspiral PARs rng,w2,d:", rng, "/", w2, "/", d);
if (rng>1000) {sc=sc3}
ctx.beginPath();
for(var i=0; i<sc2*c; i++) {
t=it*i;
x = sc*t*Math.cos(d*t)+w2; y = sc*t*Math.sin(d*t)+w2;
ctx.lineTo(x, y);
}//fend i
ctx.stroke();
}
// ******************************************
// pspiral() - Generating and plotting Polyspirals
function pspiral() {
// Setting basic vars for canvas and inpu parameters
var cvs = document.getElementById('cvsId');
var ctx = cvs.getContext("2d");
var w = cvs.width, h = cvs.height;
var w2=w/2;
var clr = document.getElementById("color").value; // color
var d = document.getElementById("dir").value; // direction
var rng = document.getElementById("rng").value; // range
rng=Number(rng);
ctx.fillStyle="white"; ctx.fillRect(0,0,w,h);
ctx.strokeStyle=clr;
// Plotting spiral.
ppsp(ctx, rng, w2, d)
}//func end
</script></head>
<body style="font-family: arial, helvatica, sans-serif;">
<b>Color: </b>
<select id="color">
<option value="red">red</option>
<option value="darkred" selected>darkred</option>
<option value="green">green</option>
<option value="darkgreen">darkgreen</option>
<option value="blue">blue</option>
<option value="navy">navy</option>
<option value="brown">brown</option>
<option value="maroon">maroon</option>
<option value="black">black</option>
</select>&nbsp;&nbsp;
<b>Direction: </b>
<input id="dir" value="1" type="number" min="-1" max="1" size="1">&nbsp;&nbsp;
<b>Range: </b>
<input id="rng" value="10" type="number" min="10" max="4000" step="10" size="4">&nbsp;&nbsp;
<input type="button" value="Plot it!" onclick="pspiral();">&nbsp;&nbsp;<br>
<h3>&nbsp;&nbsp;&nbsp;&nbsp;Polyspiral</h3>
<canvas id="cvsId" width="640" height="640" style="border: 2px inset;"></canvas>
</body>
</html>

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<style>
body {
background-color: black;
}
</style>
</head>
<body>
<canvas></canvas>
<script>
var canvas = document.querySelector("canvas");
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
var g = canvas.getContext("2d");
var inc = 0;
function drawSpiral(len, angleIncrement) {
var x1 = canvas.width / 2;
var y1 = canvas.height / 2;
var angle = angleIncrement;
for (var i = 0; i < 150; i++) {
var x2 = x1 + Math.cos(angle) * len;
var y2 = y1 - Math.sin(angle) * len;
g.strokeStyle = HSVtoRGB(i / 150, 1.0, 1.0);
g.beginPath();
g.moveTo(x1, y1);
g.lineTo(x2, y2);
g.stroke();
x1 = x2;
y1 = y2;
len += 3;
angle = (angle + angleIncrement) % (Math.PI * 2);
}
}
/* copied from stackoverflow */
function HSVtoRGB(h, s, v) {
var r, g, b, i, f, p, q, t;
i = Math.floor(h * 6);
f = h * 6 - i;
p = v * (1 - s);
q = v * (1 - f * s);
t = v * (1 - (1 - f) * s);
switch (i % 6) {
case 0: r = v, g = t, b = p; break;
case 1: r = q, g = v, b = p; break;
case 2: r = p, g = v, b = t; break;
case 3: r = p, g = q, b = v; break;
case 4: r = t, g = p, b = v; break;
case 5: r = v, g = p, b = q; break;
}
return "rgb("
+ Math.round(r * 255) + ","
+ Math.round(g * 255) + ","
+ Math.round(b * 255) + ")";
}
function toRadians(degrees) {
return degrees * (Math.PI / 180);
}
setInterval(function () {
inc = (inc + 0.05) % 360;
g.clearRect(0, 0, canvas.width, canvas.height);
drawSpiral(5, toRadians(inc));
}, 40);
</script>
</body>
</html>

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using Gtk, Graphics, Colors
const can = @GtkCanvas()
const win = GtkWindow(can, "Polyspiral", 360, 360)
const drawiters = 72
const colorseq = [colorant"blue", colorant"red", colorant"green", colorant"black", colorant"gold"]
const angleiters = [0, 0, 0]
const angles = [75, 100, 135, 160]
Base.length(v::Vec2) = sqrt(v.x * v.x + v.y * v.y)
function drawline(ctx, p1, p2, color, width=1)
move_to(ctx, p1.x, p1.y)
set_source(ctx, color)
line_to(ctx, p2.x, p2.y)
set_line_width(ctx, width)
stroke(ctx)
end
@guarded draw(can) do widget
δ(r, θ) = Vec2(r * cospi(θ/180), r * sinpi(θ/180))
nextpoint(p, r, θ) = (dp = δ(r, θ); Point(p.x + dp.x, p.y + dp.y))
colorindex = (angleiters[1] % 5) + 1
colr = colorseq[colorindex]
ctx = getgc(can)
h = height(can)
w = width(can)
x = 0.5 * w
y = 0.5 * h
θ = angleiters[2] * rand() * 3
δθ = angleiters[2]
r = 5
δr = 3
p1 = Point(x, y)
for i in 1:drawiters
if angleiters[3] == 0
set_source(ctx, colorant"gray90")
rectangle(ctx, 0, 0, w, h)
fill(ctx)
continue
end
p2 = nextpoint(p1, r, θ)
drawline(ctx, p1, p2, colr, 2)
θ = θ + δθ
r = r + δr
p1 = p2
end
end
show(can)
while true
angleiters[2] = angles[angleiters[1] % 3 + 1]
angleiters[1] += 1
angleiters[3] = angleiters[3] == 0 ? 1 : 0
draw(can)
yield()
sleep(0.5)
end

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// version 1.1.0
import java.awt.*
import java.awt.event.ActionEvent
import javax.swing.*
class PolySpiral() : JPanel() {
private var inc = 0.0
init {
preferredSize = Dimension(640, 640)
background = Color.white
Timer(40) {
inc = (inc + 0.05) % 360.0
repaint()
}.start()
}
private fun drawSpiral(g: Graphics2D, length: Int, angleIncrement: Double) {
var x1 = width / 2.0
var y1 = height / 2.0
var len = length
var angle = angleIncrement
for (i in 0 until 150) {
g.setColor(Color.getHSBColor(i / 150f, 1.0f, 1.0f))
val x2 = x1 + Math.cos(angle) * len
val y2 = y1 - Math.sin(angle) * len
g.drawLine(x1.toInt(), y1.toInt(), x2.toInt(), y2.toInt())
x1 = x2
y1 = y2
len += 3
angle = (angle + angleIncrement) % (Math.PI * 2.0)
}
}
override protected fun paintComponent(gg: Graphics) {
super.paintComponent(gg)
val g = gg as Graphics2D
g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON)
drawSpiral(g, 5, Math.toRadians(inc))
}
}
fun main(args: Array<String>) {
SwingUtilities.invokeLater {
val f = JFrame()
f.defaultCloseOperation = JFrame.EXIT_ON_CLOSE
f.title = "PolySpiral"
f.setResizable(true)
f.add(PolySpiral(), BorderLayout.CENTER)
f.pack()
f.setLocationRelativeTo(null)
f.setVisible(true)
}
}

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function love.load ()
love.window.setTitle("Polyspiral")
incr = 0
end
function love.update (dt)
incr = (incr + 0.05) % 360
x1 = love.graphics.getWidth() / 2
y1 = love.graphics.getHeight() / 2
length = 5
angle = incr
end
function love.draw ()
for i = 1, 150 do
x2 = x1 + math.cos(angle) * length
y2 = y1 + math.sin(angle) * length
love.graphics.line(x1, y1, x2, y2)
x1, y1 = x2, y2
length = length + 3
angle = (angle + incr) % 360
end
end

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linedata = {};
Dynamic[Graphics[Line[linedata], PlotRange -> 1000]]
Do[
linedata = AnglePath[{#, \[Theta]} & /@ Range[5, 300, 3]];
Pause[0.1];
,
{\[Theta], Subdivide[0.1, 1, 100]}
]

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# Pendulum simulation.
import math, random
import gintro/[gobject, gdk, gtk, gio, glib, cairo]
const
Width = 500
Height = 500
DrawIters = 72
Red = [float 1, 0, 0]
Green = [float 0, 1, 0]
Blue = [float 0, 0, 1]
Black = [float 0, 0, 0]
White = [float 255, 255, 255]
Gold = [float 255, 215, 0]
Colors = [Blue, Red, Green, White, Gold]
Angles = [75, 100, 135, 160]
type
Vec2 = tuple[x, y: float]
Point = Vec2
# Description of the simulation.
Simulation = ref object
area: DrawingArea
xmax, ymax: float
center: Point
itercount: int
#---------------------------------------------------------------------------------------------------
proc newSimulation(area: DrawingArea; width, height: int): Simulation {.noInit.} =
## Allocate and initialize the simulation object.
new(result)
result.area = area
result.xmax = float(width - 1)
result.ymax = float(height - 1)
result.center = (result.xmax * 0.5, result.ymax * 0.5)
#---------------------------------------------------------------------------------------------------
func δ(r, θ: float): Vec2 = (r * cos(degToRad(θ)), r * sin(degToRad(θ)))
#---------------------------------------------------------------------------------------------------
func nextPoint(p: Point; r, θ: float): Point =
let dp = δ(r, θ)
result = (p.x + dp.x, p.y + dp.y)
#---------------------------------------------------------------------------------------------------
proc draw(sim: Simulation; context: cairo.Context) =
## Draw the spiral.
context.setSource(Black)
context.rectangle(0, 0, sim.xmax, sim.ymax)
context.fill()
let colorIndex = sim.itercount mod Colors.len
let color = Colors[colorIndex]
var p1 = sim.center
let δθ = Angles[sim.itercount mod Angles.len].toFloat
var θ = δθ * rand(1.0) * 3
var r = 5.0
let δr = 3.0
for _ in 1..DrawIters:
let p2 = p1.nextPoint(r, θ)
context.moveTo(p1.x, p1.y)
context.setSource(color)
context.lineTo(p2.x, p2.y)
context.setLineWidth(2)
context.stroke()
θ += δθ
r += δr
p1 = p2
#---------------------------------------------------------------------------------------------------
proc update(sim: Simulation): gboolean =
## Update the simulation state.
result = gboolean(1)
sim.draw(sim.area.window.cairoCreate())
inc sim.itercount
#---------------------------------------------------------------------------------------------------
proc activate(app: Application) =
## Activate the application.
let window = app.newApplicationWindow()
window.setSizeRequest(Width, Height)
window.setTitle("Polyspiral")
let area = newDrawingArea()
window.add(area)
let sim = newSimulation(area, Width, Height)
timeoutAdd(500, update, sim)
window.showAll()
#———————————————————————————————————————————————————————————————————————————————————————————————————
let app = newApplication(Application, "Rosetta.polyspiral")
discard app.connect("activate", activate)
discard app.run()

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\\ Plot the line from x1,y1 to x2,y2.
plotline(x1,y1,x2,y2,w=0)={plotmove(w, x1,y1);plotrline(w,x2-x1,y2-y1);}
\\ Convert degrees to radians.
rad2(degs)={return(degs*Pi/180.0)}
\\ Convert Polar coordinates to Cartesian.
cartes2(r,a,rndf=0)={my(v,x,y); x=r*cos(a); y=r*sin(a);
if(rndf==0, return([x,y]), return(round([x,y])))}

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\\Polyspiral (a spiral made of multiple line segments)
\\ 4/15/16 aev
plotpspiral(size,lim,ai,d,di,c)={
my(x1,y1,x2,y2,air=ai*Pi,a,sai=Strprintf("%.3f",ai));
print(" *** Polyspiral, size=",size," lim=",lim," ai=",sai," d=",d," di=",di);
x1=0; y1=0;
a=air;
for(i=0, lim,
if(c==0, x2=x1+cos(a)*d; y2=y1-sin(a)*d,
x2=x1-sin(a)*d; y2=y1+cos(a)*d;);
plotline(x1,y1,x2,y2);
x1=x2; y1=y2; d+=di; a+=air;
);\\fend i
}
\\ Polyspiral() - Where: ai is an angle increment (in radians), d is a distance/length,
\\ c is a direction 0/1 (clockwise/counter-clockwise); other parameters are self explanative.
\\ 4/15/16 aev Last updated: 4/18/16
polyspiral(size,lim,ai,d,di,c=0)={
plotinit(0);
plotcolor(0,3); \\blue
plotscale(0, -size,size, -size,size);
plotmove(0, 0,0);
plotpspiral(size,lim,ai,d,di,c);
plotdraw([0,size,size]);
}
{\\ Executing:
polyspiral(1500,1500,0.25,9,5); \\Polyspiral1.png
polyspiral(1500,1500,0.25,3,2); \\Polyspiral2.png
polyspiral(10000,10000,0.03,3,2); \\Polyspiral3.png
polyspiral(10000,10000,0.03,3,2,1); \\Polyspiral3b.png
polyspiral(100000,100000,0.03,3,2);\\Polyspiral4.png
}

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\\ plotpspiralz() Multi-spiral figure translated from zkl using my own ploting functions.
\\ 4/15/16 aev
plotpspiralz(size,lim,ai,di,lim2)={
my(x1,y1,u1,v1,air=rad2(ai),a,sai=Strprintf("%.3f",ai),sdi=Strprintf("%.3f",di),
sz2=size\2,aj,inc,ao,x,y,u,v,vc,r2i=rad2(130.0),d=0.0);
print(" *** Spiralz: size=",size," lim=",lim," ai=",sai," di=",sdi," lim2=",lim2);
x1=0; y1=0; u1=0; v1=0;
for(i=1, lim,
r=0.0; a=0.0;ao=0.0;
if(i>1, inc=air+r2i, inc=air);
for(j=1, lim2,
d=r+di; aj=a+inc;
vc=cartes2(r,a); x=vc[1]; y=vc[2];
vc=cartes2(r,aj); u=vc[1]; v=vc[2];
plotline(ao+x,ao+y,ao+u,ao+v);
r=d; a=aj;
);\\fend j
air+=0.05;
);\\fend i
}
\\ Spiralz() - Where: ai is an angle increment (in radians), di is a distance/length
\\ increment, other parameters are self explanative.
\\ 4/15/16 aev
Spiralz(size,lim,ai,di,lim2)={
plotinit(0); plotcolor(0,3); \\blue
plotscale(0, -size,size, -size,size);
\\plotscale(0, 0,size, 0,size);
plotmove(0, 0,0);
plotpspiralz(size,lim,ai,di,lim2);
plotdraw([0,size,size]);
}
{\\ Executing:
Spiralz(640,2,3.0,3.0,128); \\Spiralz1.png
}

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#!/usr/bin/perl
use strict; # https://rosettacode.org/wiki/Polyspiral
use warnings;
use Tk;
use List::Util qw( min );
my $size = 500;
my ($width, $height, $x, $y, $dist);
my $angleinc = 0;
my $active = 0;
my $wait = 1000 / 30;
my $radian = 90 / atan2 1, 0;
my $mw = MainWindow->new;
$mw->title( 'Polyspiral' );
my $c = $mw->Canvas( -width => $size, -height => $size,
-relief => 'raised', -borderwidth => 2,
)->pack(-fill => 'both', -expand => 1);
$mw->bind('<Configure>' => sub { $width = $c->width; $height = $c->height;
$dist = min($width, $height) ** 2 / 4 } );
$mw->Button(-text => $_->[0], -command => $_->[1],
)->pack(-side => 'right') for
[ Exit => sub {$mw->destroy} ],
[ 'Start / Pause' => sub { $active ^= 1; step() } ];
MainLoop;
-M $0 < 0 and exec $0;
sub step
{
$active or return;
my @pts = ($x = $width >> 1, $y = $height >> 1);
my $length = 5;
my $angle = $angleinc;
$angleinc += 0.05 / $radian;
while( ($x - $width / 2)**2 + ($y - $height / 2)**2 < $dist && @pts < 300 )
{
push @pts, $x, $y;
$x += $length * cos($angle);
$y += $length * sin($angle);
$length += 3;
$angle += $angleinc;
}
$c->delete('all');
$c->createLine( @pts );
$mw->after($wait => \&step);
}

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(phixonline)-->
<span style="color: #000080;font-style:italic;">--
-- demo\rosetta\Polyspiral.exw
-- ===========================
--
-- Space toggles the timer, '+' increases speed (up to 100 FPS), '-' decreases speed
-- 'M' toggles "mod360", which inverts the angle every 360/2PI or so, since sin/cos
-- accept arguments in radians not degrees (and mod 2*PI changes nothing), producing
-- non-true polyspirals, but quite interesting nevertheless.
--</span>
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">TITLE</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"Polyspiral"</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">pGUI</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #004080;">Ihandle</span> <span style="color: #000000;">dlg</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">timer</span>
<span style="color: #004080;">cdCanvas</span> <span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cdcanvas</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">incr</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #004080;">bool</span> <span style="color: #000000;">mod360</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">Polyspiral</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">angle</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">incr</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">len</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">5</span>
<span style="color: #000000;">incr</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">0.05</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">mod360</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">incr</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">incr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">360</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">150</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x1</span> <span style="color: #0000FF;">+</span> <span style="color: #7060A8;">cos</span><span style="color: #0000FF;">(</span><span style="color: #000000;">angle</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">len</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">y2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">y1</span> <span style="color: #0000FF;">+</span> <span style="color: #7060A8;">sin</span><span style="color: #0000FF;">(</span><span style="color: #000000;">angle</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">len</span>
<span style="color: #7060A8;">cdCanvasSetForeground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">*</span><span style="color: #000000;">#200</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span><span style="color: #0000FF;">*</span><span style="color: #000000;">#40</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span><span style="color: #0000FF;">*</span><span style="color: #000000;">#10</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasLine</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y2</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y1</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y2</span><span style="color: #0000FF;">}</span>
<span style="color: #000000;">len</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">3</span>
<span style="color: #000000;">angle</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">incr</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">mod360</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">angle</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">angle</span><span style="color: #0000FF;">,</span><span style="color: #000000;">360</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">redraw_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000080;font-style:italic;">/*ih*/</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">w</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetIntInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"DRAWSIZE"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasActivate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasClear</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">Polyspiral</span><span style="color: #0000FF;">(</span><span style="color: #000000;">w</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasFlush</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ms</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"TIME"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetStrAttribute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dlg</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"TITLE"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"%s (timer=%d [%g FPS], angle %3.2f%s)"</span><span style="color: #0000FF;">,</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">TITLE</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ms</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">/</span><span style="color: #000000;">ms</span><span style="color: #0000FF;">,</span><span style="color: #000000;">incr</span><span style="color: #0000FF;">,</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">mod360</span><span style="color: #0000FF;">?</span><span style="color: #008000;">" (mod360)"</span><span style="color: #0000FF;">:</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_DEFAULT</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">timer_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000080;font-style:italic;">/*timer*/</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupUpdate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_IGNORE</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">map_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">cdcanvas</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cdCreateCanvas</span><span style="color: #0000FF;">(</span><span style="color: #004600;">CD_IUP</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">cddbuffer</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cdCreateCanvas</span><span style="color: #0000FF;">(</span><span style="color: #004600;">CD_DBUFFER</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cdcanvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasSetBackground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">CD_WHITE</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasSetForeground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cddbuffer</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">CD_GRAY</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_DEFAULT</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">key_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000080;font-style:italic;">/*ih*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #004600;">K_ESC</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">IUP_CLOSE</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #008000;">' '</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">IupSetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"RUN"</span><span style="color: #0000FF;">,</span><span style="color: #008080;">not</span> <span style="color: #7060A8;">IupGetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"RUN"</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">elsif</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"+-"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">IupSetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"RUN"</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-(</span><span style="color: #008000;">','</span><span style="color: #0000FF;">-</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- ('+' ==&gt; +1, '-' ==&gt; -1)</span>
<span style="color: #7060A8;">IupSetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"TIME"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">IupGetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"TIME"</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">c</span><span style="color: #0000FF;">*</span><span style="color: #000000;">10</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">IupSetInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">timer</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"RUN"</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">elsif</span> <span style="color: #7060A8;">upper</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)=</span><span style="color: #008000;">'M'</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">mod360</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">not</span> <span style="color: #000000;">mod360</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_CONTINUE</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #7060A8;">IupOpen</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">canvas</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupCanvas</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"RASTERSIZE=640x640"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetCallbacks</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"MAP_CB"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"map_cb"</span><span style="color: #0000FF;">),</span>
<span style="color: #008000;">"ACTION"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"redraw_cb"</span><span style="color: #0000FF;">)})</span>
<span style="color: #000000;">timer</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupTimer</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"timer_cb"</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">20</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dlg</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupDialog</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span><span style="color: #008000;">`TITLE="%s"`</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">TITLE</span><span style="color: #0000FF;">})</span>
<span style="color: #7060A8;">IupSetCallback</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dlg</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"KEY_CB"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"key_cb"</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">IupShow</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dlg</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetAttribute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"RASTERSIZE"</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">NULL</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">IupMainLoop</span><span style="color: #0000FF;">()</span>
<span style="color: #7060A8;">IupClose</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<!--

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//Aamrun, 2nd July 2022
int incr = 0, angle, i, length;
float x,y,x1,y1;
double factor = PI/180;
void setup() {
size(1000, 1000);
stroke(255);
}
void draw() {
background(51);
incr = (incr + 5)%360;
x = width/2;
y = height/2;
length = 5;
angle = incr;
for(i=1;i<=150;i++){
x1 = x + (float)(length*Math.cos(factor*angle));
y1 = y + (float)(length*Math.sin(factor*angle));
line(x,y,x1,y1);
length += 3;
angle = (angle + incr)%360;
x = x1;
y = y1;
}
}

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import math
import pygame
from pygame.locals import *
pygame.init()
screen = pygame.display.set_mode((1024, 600))
pygame.display.set_caption("Polyspiral")
incr = 0
running = True
while running:
pygame.time.Clock().tick(60)
for event in pygame.event.get():
if event.type==QUIT:
running = False
break
incr = (incr + 0.05) % 360
x1 = pygame.display.Info().current_w / 2
y1 = pygame.display.Info().current_h / 2
length = 5
angle = incr
screen.fill((255,255,255))
for i in range(1,151):
x2 = x1 + math.cos(angle) * length
y2 = y1 + math.sin(angle) * length
pygame.draw.line(screen, (255,0,0), (x1, y1), (x2, y2), 1)
# pygame.draw.aaline(screen, (255,0,0), (x1, y1), (x2, y2)) # Anti-Aliased
x1, y1 = x2, y2
length += 3
angle = (angle + incr) % 360
pygame.display.flip()

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[ $ "turtleduck.qky" loadfile ] now!
[ 1000 * time +
[ dup time < until ]
drop ] is ms ( n --> )
[ turtle 0 frames
3601 times
[ clear
i^ 3600
1000 times
[ i^ 1+ 1 walk
2dup turn ]
2drop
frame
10 ms ] ] is polyspiral ( --> )

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#lang racket
(require 2htdp/universe pict racket/draw)
(define ((polyspiral width height segment-length-increment n-segments) tick/s/28)
(define turn-angle (degrees->radians (/ tick/s/28 8)))
(pict->bitmap
(dc (λ (dc dx dy)
(define old-brush (send dc get-brush))
(define old-pen (send dc get-pen))
(define path (new dc-path%))
(define x (/ width #i2))
(define y (/ height #i2))
(send path move-to x y)
(for/fold ((x x) (y y) (l segment-length-increment) (a #i0))
((seg n-segments))
(define x (+ x (* l (cos a))))
(define y (+ y (* l (sin a))))
(send path line-to x y)
(values x y (+ l segment-length-increment) (+ a turn-angle)))
(send dc draw-path path dx dy)
(send* dc (set-brush old-brush) (set-pen old-pen)))
width height)))
(animate (polyspiral 400 400 2 1000))

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use SVG;
my $w = 600;
my $h = 600;
for 3..33 -> $a {
my $angle = $a/τ;
my $x1 = $w/2;
my $y1 = $h/2;
my @lines;
for 1..144 {
my $length = 3 * $_;
my ($x2, $y2) = ($x1, $y1) «+« |cis($angle * $_).reals».round(.01) »*» $length ;
@lines.push: 'line' => [:x1($x1.clone), :y1($y1.clone), :x2($x2.clone), :y2($y2.clone),
:style("stroke:rgb({hsv2rgb(($_*5 % 360)/360,1,1).join: ','})")];
($x1, $y1) = $x2, $y2;
}
my $fname = "./polyspiral-perl6.svg".IO.open(:w);
$fname.say( SVG.serialize(
svg => [
width => $w, height => $h, style => 'stroke:rgb(0,0,0)',
:rect[:width<100%>, :height<100%>, :fill<black>],
|@lines,
],)
);
$fname.close;
sleep .15;
}
sub hsv2rgb ( $h, $s, $v ){ # inputs normalized 0-1
my $c = $v * $s;
my $x = $c * (1 - abs( (($h*6) % 2) - 1 ) );
my $m = $v - $c;
my ($r, $g, $b) = do given $h {
when 0..^(1/6) { $c, $x, 0 }
when 1/6..^(1/3) { $x, $c, 0 }
when 1/3..^(1/2) { 0, $c, $x }
when 1/2..^(2/3) { 0, $x, $c }
when 2/3..^(5/6) { $x, 0, $c }
when 5/6..1 { $c, 0, $x }
}
( $r, $g, $b ).map: ((*+$m) * 255).Int
}

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use SDL2::Raw;
my $width = 900;
my $height = 900;
SDL_Init(VIDEO);
my $window = SDL_CreateWindow(
'Polyspiral',
SDL_WINDOWPOS_CENTERED_MASK,
SDL_WINDOWPOS_CENTERED_MASK,
$width, $height,
RESIZABLE
);
my $render = SDL_CreateRenderer($window, -1, ACCELERATED +| PRESENTVSYNC);
my $event = SDL_Event.new;
enum KEY_CODES (
K_UP => 82,
K_DOWN => 81,
K_LEFT => 80,
K_RIGHT => 79,
K_SPACE => 44,
K_PGUP => 75,
K_PGDN => 78,
K_LCTRL => 224,
K_PLUS => 87,
K_MINUS => 86,
K_SPLUS => 46,
K_SMINUS => 45,
);
my $angle = 0;
my $lines = 240;
my @rgb = palette($lines);
my ($x1, $y1);
my $dir = 1;
my $rot = 0;
my $incr = .0001/π;
my $step = $incr*70;
main: loop {
while SDL_PollEvent($event) {
my $casted_event = SDL_CastEvent($event);
given $casted_event {
when *.type == QUIT { last main }
when *.type == KEYDOWN {
if KEY_CODES(.scancode) -> $comm {
given $comm {
when 'K_LEFT' { $dir = $rot ?? 1 !! -1 }
when 'K_RIGHT' { $dir = $rot ?? -1 !! 1 }
when 'K_UP' { $step += $incr }
when 'K_DOWN' { $step -= $incr if $step > $incr }
when 'K_PGUP' { $step += $incr*50 }
when 'K_PGDN' { $step -= $incr*50; $step = $step < $incr ?? $incr !! $step }
when 'K_SPACE' { $step = $step ?? 0 !! $incr }
when 'K_LCTRL' { $rot = $rot ?? 0 !! -1; $dir *= -1 }
when 'K_PLUS' { $lines = ($lines + 5) min 360; @rgb = palette($lines) }
when 'K_SPLUS' { $lines = ($lines + 5) min 360; @rgb = palette($lines) }
when 'K_MINUS' { $lines = ($lines - 5) max 60; @rgb = palette($lines) }
when 'K_SMINUS' { $lines = ($lines - 5) max 60; @rgb = palette($lines) }
}
}
#say .scancode; # unknown key pressed
}
when *.type == WINDOWEVENT {
if .event == 5 {
$width = .data1;
$height = .data2;
}
}
}
}
$angle = ($angle + $dir * $step) % τ;
($x1, $y1) = $width div 2, $height div 2;
my $dim = $width min $height;
my $scale = (2 + .33 * abs(π - $angle)) * $dim / $lines;
$scale *= ($angle > π) ?? (1 - $angle/τ) !! $angle/τ;
$scale max= $dim/$lines/$lines;
for ^$lines {
my $length = $scale + $scale * $_;
my ($x2, $y2) = ($x1, $y1) «+« cis(($angle * $rot * $lines) + $angle * $_).reals »*» $length;
SDL_SetRenderDrawColor($render, |@rgb[$_], 255);
SDL_RenderDrawLine($render, |($x1, $y1, $x2, $y2)».round(1));
($x1, $y1) = $x2, $y2;
}
@rgb.=rotate($lines/60);
SDL_RenderPresent($render);
SDL_SetRenderDrawColor($render, 0, 0, 0, 0);
SDL_RenderClear($render);
}
SDL_Quit();
sub palette ($l) { (^$l).map: { hsv2rgb(($_ * 360/$l % 360)/360, 1, 1).list } };
sub hsv2rgb ( $h, $s, $v ){ # inputs normalized 0-1
my $c = $v * $s;
my $x = $c * (1 - abs( (($h*6) % 2) - 1 ) );
my $m = $v - $c;
my ($r, $g, $b) = do given $h {
when 0..^(1/6) { $c, $x, 0 }
when 1/6..^(1/3) { $x, $c, 0 }
when 1/3..^(1/2) { 0, $c, $x }
when 1/2..^(2/3) { 0, $x, $c }
when 2/3..^(5/6) { $x, 0, $c }
when 5/6..1 { $c, 0, $x }
}
( $r, $g, $b ).map: ((*+$m) * 255).Int
}

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# Project : Polyspiral
load "guilib.ring"
paint = null
incr = 1
x1 = 1000
y1 = 1080
angle = 10
length = 10
new qapp
{
win1 = new qwidget() {
setwindowtitle("")
setgeometry(10,10,1000,1080)
label1 = new qlabel(win1) {
setgeometry(10,10,1000,1080)
settext("")
}
new qpushbutton(win1) {
setgeometry(150,30,100,30)
settext("draw")
setclickevent("draw()")
}
show()
}
exec()
}
func draw
p1 = new qpicture()
color = new qcolor() {
setrgb(0,0,255,255)
}
pen = new qpen() {
setcolor(color)
setwidth(1)
}
paint = new qpainter() {
begin(p1)
setpen(pen)
for i = 1 to 150
x2 = x1 + cos(angle) * length
y2 = y1 + sin(angle) * length
drawline(x1, y1, x2, y2)
x1 = x2
y1 = y2
length = length + 3
angle = (angle + incr) % 360
next
endpaint()
}
label1 { setpicture(p1) show() }

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width,height = #.scrsize()
#.angle(#.degrees)
#.scroff()
incr = 0
>
incr = (incr+0.05)%360
x = width/2
y = height/2
length = 5
angle = incr
#.scrclear()
#.drawline(x,y,x,y)
> i, 1..150
x += length*#.cos(angle)
y += length*#.sin(angle)
#.drawcolor(#.hsv2rgb(angle,1,1):3)
#.drawline(x,y)
length += 3
angle = (angle+incr)%360
<
#.scr()
<

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import java.awt._
import java.awt.event.ActionEvent
import javax.swing._
object PolySpiral extends App {
SwingUtilities.invokeLater(() =>
new JFrame("PolySpiral") {
class PolySpiral extends JPanel {
private var inc = 0.0
override def paintComponent(gg: Graphics): Unit = {
val g = gg.asInstanceOf[Graphics2D]
def drawSpiral(g: Graphics2D, l: Int, angleIncrement: Double): Unit = {
var len = l
var (x1, y1) = (getWidth / 2d, getHeight / 2d)
var angle = angleIncrement
for (i <- 0 until 150) {
g.setColor(Color.getHSBColor(i / 150f, 1.0f, 1.0f))
val x2 = x1 + math.cos(angle) * len
val y2 = y1 - math.sin(angle) * len
g.drawLine(x1.toInt, y1.toInt, x2.toInt, y2.toInt)
x1 = x2
y1 = y2
len += 3
angle = (angle + angleIncrement) % (math.Pi * 2)
}
}
super.paintComponent(gg)
g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON)
drawSpiral(g, 5, math.toRadians(inc))
}
setBackground(Color.white)
setPreferredSize(new Dimension(640, 640))
new Timer(40, (_: ActionEvent) => {
inc = (inc + 0.05) % 360
repaint()
}).start()
}
add(new PolySpiral, BorderLayout.CENTER)
pack()
setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE)
setLocationRelativeTo(null)
setResizable(true)
setVisible(true)
}
)
}

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import "graphics" for Canvas, Color
import "dome" for Window
import "math" for Math
var Radians = Fn.new { |d| d * Num.pi / 180 }
class Polyspiral {
construct new(width, height) {
Window.title = "Polyspiral"
Window.resize(width, height)
Canvas.resize(width, height)
_w = width
_h = height
_inc = 0
}
init() {
drawSpiral(5, Radians.call(_inc))
}
drawSpiral(length, angleIncrement) {
Canvas.cls(Color.white)
var x1 = _w / 2
var y1 = _h / 2
var len = length
var angle = angleIncrement
for (i in 0...150) {
var col = Color.hsv(i / 150 * 360, 1, 1)
var x2 = x1 + Math.cos(angle) * len
var y2 = y1 - Math.sin(angle) * len
Canvas.line(x1.truncate, y1.truncate, x2.truncate, y2.truncate, col)
x1 = x2
y1 = y2
len = len + 3
angle = (angle + angleIncrement) % (Num.pi * 2)
}
}
update() {
_inc = (_inc + 0.05) % 360
}
draw(alpha) {
drawSpiral(5, Radians.call(_inc))
}
}
var Game = Polyspiral.new(640, 640)

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def Width=640., Height=480.;
def Deg2Rad = 3.141592654/180.;
real Incr, Angle, Length, X, Y, X1, Y1;
int N;
[SetVid($101); \VESA 640x480x8 graphics
Incr:= 0.;
repeat Incr:= Incr+1.;
X:= Width/2.; Y:= Height/2.;
Move(fix(X), fix(Y));
Length:= 5.;
Angle:= Incr;
for N:= 1 to 150 do
[X1:= X + Length*Cos(Angle*Deg2Rad);
Y1:= Y + Length*Sin(Angle*Deg2Rad);
Line(fix(X1), fix(Y1), N+16);
X:= X1; Y:= Y1;
Length:= Length+3.;
Angle:= Angle+Incr;
];
DelayUS(83_333);
Clear;
until KeyHit;
]

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w = 1024 : h = 600
open window w, h
color 255,0,0
incr = 0 : twopi = 2 * pi
while true
incr = mod(incr + 0.05, twopi)
x1 = w / 2
y1 = h / 2
length = 5
angle = incr
clear window
for i = 1 to 151
x2 = x1 + cos(angle) * length
y2 = y1 + sin(angle) * length
line x1, y1, x2, y2
x1 = x2 : y1 = y2
length = length + 3
angle = mod(angle + incr, twopi)
next
pause 1
end while

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w,h:=640,640;
bitmap:=PPM(w,h,0xFF|FF|FF); // White background
angleIncrement:=(3.0).toRad();
while(True){
r,angle:=0.0, 0.0;
ao,len,inc:=w/2, 2.5, angleIncrement+(130.0).toRad();
foreach c in (128){
s,a:=r + len, angle + inc;
x,y:=r.toRectangular(angle);
u,v:=r.toRectangular(a);
c=c.shiftLeft(21) + c.shiftLeft(10) + c*8; // convert c to a RGB
bitmap.line(ao+x,ao+y, ao+u,ao+v, c);
r,angle=s,a;
}
bitmap.writeJPGFile("polyspiral.zkl.jpg");
bitmap.fill(0xFF|FF|FF); // White background
angleIncrement=(angleIncrement + 0.05);
Atomic.sleep(3);
}