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Sidereal clock faceplate
<html>
<body>
<canvas id="canvas" width="500" height="500"></canvas>
<iframe height="1000" width="1000" id="iframe">
</iframe>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jspdf/2.5.1/jspdf.umd.min.js"></script>
<script type="module">
const { jsPDF } = window.jspdf;
// Landscape export, 2×4 inches
const doc = new jsPDF({
unit: "in",
format: "letter"
});
const h=11;
const w=8.5;
const cx=w/2;
const cy=h/2;
const s=4;
const R=s/2;
function centerHole(p){
p.circle(cx,cy,(5.5/25.4)/2);
p.stroke();
}
function drawClockFace(p){
const lineLen=s-.5;
const textOptions={align: "center", baseline: "middle", renderingMode: "fillThenStroke"};
p.setFont("times","","400");
p.setFontSize(35);
let i=0;
while(i<24){
const a=((i*15)-90)*Math.PI/180;
let x=cx+(s)*Math.cos(a);
let y=cy+(s)*Math.sin(a);
p.moveTo(x,y);
if(i==Math.floor(i)){
x=cx+(s-.25)*Math.cos(a);
y=cy+(s-.25)*Math.sin(a);
} else {
x=cx+(s-.125)*Math.cos(a);
y=cy+(s-.125)*Math.sin(a);
}
p.lineTo(x,y);
if(i==Math.floor(i)){
x=cx+(s-.4-.125)*Math.cos(a);
y=cy+(s-.4-.125)*Math.sin(a);
doc.text(i+"", x, y, textOptions);
}
i+=.25;
}
}
//Greg Miller ([email protected])
//Released as public domain
'use strict';
import * as hipparcos from "./hipparcos_6.js";
import * as lines from "./constellationLineship.js";
const hip=hipparcos.hipparcos_catalog;
const rad=Math.PI/180;
class Stereographic{
static project(lat,lon,lat1,lon0){
lat*=Math.PI/180;
lon*=Math.PI/180;
lat1*=Math.PI/180;
lon0*=Math.PI/180;
const k=2/(1+Math.sin(lat1)*Math.sin(lat)+Math.cos(lat1)*Math.cos(lat)*Math.cos(lon-lon0));
const x=k*Math.cos(lat)*Math.sin(lon-lon0);
const y=k*(Math.cos(lat1)*Math.sin(lat) - Math.sin(lat1)*Math.cos(lat)*Math.cos(lon-lon0));
return {x:x, y:y, k:k};
}
static inverse(x,y,lat1,lon0){
const p=Math.sqrt(x*x+y*y);
const c=2*Math.atan2(p/2);
const lat=Math.asin(Math.cos(c)*Math.sin(lat1) + (y*Math.sin(c)*Math.cos(lat1)/p));
const lon=lon0 + Math.atan2(x*Math.sin(c), p*Math.cos(lat1)*Math.cos(c) - y*Math.sin(lat1)*Math.sin(c));
return {lat: lat*180/Math.PI, lon: lon*180/Math.PI};
}
}
function eclipticToEquitorial(lat,lon){
const eps=23.4392911*Math.PI/180;
const ra = Math.atan2(Math.sin(lon)*Math.cos(eps) - Math.tan(lat)*Math.sin(eps),Math.cos(lon));
const dec = Math.asin(Math.sin(lat)*Math.cos(eps) + Math.cos(lat)*Math.sin(eps)*Math.sin(lon));
return {ra: ra, dec: dec};
}
//Special "Math.floor()" function used by dateToJulianDate()
function INT(d){
if(d>0){
return Math.floor(d);
}
if(d==Math.floor(d)){
return d;
}
return Math.floor(d)-1;
}
function gregorianDateToJulianDate(year, month, day, hour, min, sec){
let isGregorian=true;
if(year<1582 || (year == 1582 && (month < 10 || (month==10 && day < 5)))){
isGregorian=false;
}
if (month < 3){
year = year - 1;
month = month + 12;
}
let b = 0;
if (isGregorian){
let a = INT(year / 100.0);
b = 2 - a + INT(a / 4.0);
}
let jd=INT(365.25 * (year + 4716)) + INT(30.6001 * (month + 1)) + day + b - 1524.5;
jd+=hour/24.0;
jd+=min/24.0/60.0;
jd+=sec/24.0/60.0/60.0;
return jd;
}
//Low precision sun position from Astronomical Almanac page C5 (2017 ed).
//Accuracy 1deg from 1950-2050
function sunPosition(jd) {
const torad=Math.PI/180.0;
const n=jd-2451545.0;
let L=(280.460+0.9856474*n)%360;
let g=((357.528+.9856003*n)%360)*torad;
if(L<0){L+=360;}
if(g<0){g+=Math.PI*2.0;}
const lambda=(L+1.915*Math.sin(g)+0.020*Math.sin(2*g))*torad;
const beta=0.0;
const eps=(23.439-0.0000004*n)*torad;
let ra=Math.atan2(Math.cos(eps)*Math.sin(lambda),Math.cos(lambda));
const dec=Math.asin(Math.sin(eps)*Math.sin(lambda));
if(ra<0){ra+=Math.PI*2;}
return {ra: ra/torad,dec: dec/torad};
}
/*Meeus example 13.a part 2
const temp=eclipticToEquitorial(6.684170*rad,113.215630*rad);
console.log(temp.ra/rad,temp.dec/rad);
*/
class Sky{
constructor(canvas, stars){
this.canvas=canvas;
this.stars=stars;
}
drawSky(){
const ctx=this.canvas;
ctx.setDrawColor("#000099");
this.drawAllLines();
ctx.setDrawColor("#999900");
this.drawEcliptic();
this.drawSunPositions(ctx);
ctx.setDrawColor("#FFFFFF");
ctx.setFillColor("#FFFFFF");
this.drawStars();
}
drawSunPosition(tx,ty,ctx,mon,jd){
ctx.setFillColor("#999900");
ctx.setTextColor("#999900");
ctx.setFont("times","","400");
const textSize=10;
ctx.setFontSize(textSize);
const sp=sunPosition(jd);
const p=this.project(sp.dec,sp.ra +90);
const x=cx-p.x*R;
const y=cy-p.y*R;
ctx.circle(x,y,.05,"FD");
ctx.fill();
const rcx=cx-.39*R;
const rcy=cy-0;
const angle=90-Math.atan2(rcy-y, rcx-x)/rad;
const textOptions={align: "justify", baseline: "bottom", angle: angle};
doc.text(mon, cx-p.x*R+tx, cy-p.y*R+ty, textOptions);
}
drawSunPositions(ctx){
this.drawSunPosition(.12,.17,ctx,"Jan",gregorianDateToJulianDate(2000,1,1,0,0,0));
this.drawSunPosition(.05,.25,ctx,"Feb",gregorianDateToJulianDate(2000,2,1,0,0,0));
this.drawSunPosition(-.1,.2,ctx,"Mar",gregorianDateToJulianDate(2000,3,1,0,0,0));
this.drawSunPosition(-.2,.12,ctx,"Apr",gregorianDateToJulianDate(2000,4,1,0,0,0));
this.drawSunPosition(-.2,.05,ctx,"May",gregorianDateToJulianDate(2000,5,1,0,0,0));
this.drawSunPosition(-.2,0,ctx,"Jun",gregorianDateToJulianDate(2000,6,1,0,0,0));
this.drawSunPosition(-.2,-.05,ctx,"Jul",gregorianDateToJulianDate(2000,7,1,0,0,0));
this.drawSunPosition(-.1,-.15,ctx,"Aug",gregorianDateToJulianDate(2000,8,1,0,0,0));
this.drawSunPosition(0,-.2,ctx,"Sep",gregorianDateToJulianDate(2000,9,1,0,0,0));
this.drawSunPosition(.1,-.2,ctx,"Oct",gregorianDateToJulianDate(2000,10,1,0,0,0));
this.drawSunPosition(.2,-.1,ctx,"Nov",gregorianDateToJulianDate(2000,11,1,0,0,0));
this.drawSunPosition(.22,.07,ctx,"Dec",gregorianDateToJulianDate(2000,12,1,0,0,0));
}
drawMilkyWay(ctx){
ctx.setFillColor("#333366");
const f=0;
const k=0;
const points=mw.features[f].geometry.coordinates[k];
let j=0;
let firstPoint=true;
let start1=4611;
let end1=3434;
let start2=2890;
let end2=1848;
let i=start1;
let notDone=true;
while(notDone){
const ra=points[j][i][0];
const dec=points[j][i][1];
if(dec>-40) {
const p=this.project(dec,ra+90);
if(firstPoint==true){
ctx.moveTo(cx-p.x*R,cy-p.y*R);
firstPoint=false;
} else {
ctx.lineTo(cx-p.x*R,cy-p.y*R);
}
}
if(j==0){
i=(i+1)%(points[j].length);
if(i==end1){
j=1;
i=end2;
}
} else {
i--;
if(i<0) i=points[j].length-1;
if(i==start2){
notDone=false;
}
}
}
const p2=this.project(points[0][4611][1],points[0][4611][0]+90);
const p4=this.project(points[1][2890][1],points[1][2890][0]+90);
ctx.moveTo(cx-p4.x*R,cy-p4.y*R);
ctx.lineTo(cx-p2.x*R,cy-p2.y*R);
ctx.fill();
}
drawEcliptic(){
const ctx=this.canvas;
let i=0;
while(i<=360){
const p=eclipticToEquitorial(0,i*rad);
const xy=this.project(p.dec/rad,p.ra/rad+90);
if(i==0){
ctx.moveTo(cx-xy.x*R,cy-xy.y*R);
} else {
ctx.lineTo(cx-xy.x*R,cy-xy.y*R);
}
i++;
}
ctx.stroke();
}
drawStars(){
for(const i of Object.keys(this.stars)){
const h=this.stars[i];
const ra=(h[4]+90)%360;
const dec=h[5];
const xy=this.project(dec,ra);
if(xy.k<2) this.plotStar(xy,this.stars[i][2]);
}
}
plotStar(p,mag){
const l=(5-mag)/2.0/80;
if(l<=0) return;
const ctx = this.canvas;
const x=cx-p.x*R;
const y=cy-p.y*R;
ctx.circle(x, y, l,"F");
ctx.fill();
}
project(dec1,ra1,ra,dec){
const r=90-(90-dec1)/130*(90);
return Stereographic.project(r,ra1-360+90,90,0);
}
drawConstellationLines(c){
const ctx = this.canvas;
let i=2;
while(i<c.length){
const star1=indexedHip[c[i]];
const star2=indexedHip[c[i+1]];
if(star1!=null && star2!=null){
const ra1=(star1[4]+90)%360;
const dec1=star1[5];
const ra2=(star2[4]+90)%360;
const dec2=star2[5];
const xy1=this.project(dec1,ra1,this.ra,this.dec);
const xy2=this.project(dec2,ra2,this.ra,this.dec);
if(xy1.k<2 && xy2.k<2){
ctx.moveTo(cx-xy1.x*R,cy-xy1.y*R);
ctx.lineTo(cx-xy2.x*R,cy-xy2.y*R);
}
} else {
//if(star1==null)console.log("Not found "+c[i]);
//if(star2==null)console.log("Not found "+c[i+1]);
}
i+=2;
}
ctx.stroke();
}
drawAllLines(){
for(let i=0;i<lines.lines.length;i++){
this.drawConstellationLines(lines.lines[i]);
}
}
}
function indexHipparcos(){
const h=new Array();
for(let i=0;i<hip.length;i++){
h[hip[i][0]]=hip[i];
}
return h;
}
function drawFaceplate(){
doc.setDrawColor("#FFFFFF");
doc.setFillColor("#000033");
doc.setTextColor("#FFFFFF");
doc.setLineWidth(.01);
doc.circle(cx,cy,s,"FD");
doc.fill();
const sky=new Sky(doc,indexedHip);
sky.drawMilkyWay(doc);
drawClockFace(doc);
centerHole(doc);
sky.drawSky();
}
const indexedHip=indexHipparcos(hip);
const 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drawFaceplate();
var data = doc.output("datauristring");
document.querySelector("#iframe").src = data;
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//doc.save("two-by-four.pdf");
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