// You can find the Turtle API reference here: https://turtletoy.net/syntax
Canvas.setpenopacity(1);

const rangeN = 2; // min=1 max=4 step=1 (0<=n<y,0<=n<=y,0<n<y,0<n<=y)
const maxY = 200; // min=10, max=300, step=10
const pensize = .5; // min=.2, max=2, step=.1

// Global code will be evaluated once.
const turtle = new Turtle();
const text = new Text();

let plotsizeX = 170;
let plotsizeY = 170;

let halfPlotSizeX = plotsizeX / 2;
let halfPlotSizeY = plotsizeY / 2;

turtle.jump(-65, -90);
text.print(turtle, 'Integers n where 0 < n < y', .3);
if(rangeN < 3) {
    turtle.jump(31, -91);
    text.print(turtle, '_', .3);
}
if(!(rangeN & 6 > 0)) {
    turtle.jump(53.3, -91);
    text.print(turtle, '_', .3);
}
turtle.jump(-7, 95);
text.print(turtle, 'n / y', .2);
turtle.jump(-87, 95);
text.print(turtle, '0', .2);
turtle.jump(83, 95);
text.print(turtle, '1', .2);

turtle.seth(1.5*Math.PI);
turtle.jump(-95, 0);
text.print(turtle, 'int() y', .2);
turtle.jump(-95, 88);
text.print(turtle, ''+maxY, .2);
turtle.jump(-95, -83);
text.print(turtle, '1', .2);
turtle.seth(0);


// The walk function will be called until it returns false.
function walk(denominator) {
    denominator++;

    let rangeEnd = denominator + (rangeN == 2 || rangeN == 4? 1:0);
    for(let numerator = (rangeN < 3? 0: 1); numerator < rangeEnd; numerator++) {
        let ratio = numerator / denominator;
        plot(ratio * plotsizeX, denominator * (plotsizeY / maxY));
    }
    
    return denominator < maxY;
}

function plot(x, y) {
    for(let r = 0; r < pensize; r += .1) {
        turtle.jump(x + r - halfPlotSizeX, y - halfPlotSizeY);
        turtle.circle(r)
    }
}


////////////////////////////////////////////////////////////////
// Text utility code. Created by Reinder Nijhoff 2019
// https://turtletoy.net/turtle/1713ddbe99
////////////////////////////////////////////////////////////////
function Text() { class Text { print (t, str, scale = 1, italic = 0, kerning = 1) { t.radians(); let pos = [t.x(), t.y()], h = t.h(), o = pos; str.split('').map(c => { const i = c.charCodeAt(0) - 32; if (i < 0 ) { pos = o = this.rotAdd([0, 48*scale], o, h); } else if (i > 96 ) { pos = this.rotAdd([16*scale, 0], o, h); } else { const d = dat[i], lt = d[0]*scale, rt = d[1]*scale, paths = d[2]; paths.map( p => { t.up(); p.map( s=> { t.goto(this.rotAdd([(s[0]-s[1]*italic)*scale - lt, s[1]*scale], pos, h)); t.down(); }); }); pos = this.rotAdd([(rt - lt)*kerning, 0], pos, h); }}); } rotAdd (a, b, h) { return [Math.cos(h)*a[0] - Math.sin(h)*a[1] + b[0], Math.cos(h)*a[1] + Math.sin(h)*a[0] + b[1]]; }} const dat = ('br>eoj^jl<jqirjskrjq>brf^fe<n^ne>`ukZdz<qZjz<dgrg<cmqm>`thZhw<lZlw<qao_l^h^e_caccdeefggmiojpkqmqporlshsercp>^vs^as<f^h`hbgdeeceacaab_d^f^h_k`n`q_s^<olmmlolqnspsrrspsnqlol>]wtgtfsereqfphnmlpjrhsdsbraq`o`makbjifjekckaj_h^f_eaecffhimporqssstrtq>eoj`i_j^k_kajcid>cqnZl\\j_hcghglhqjulxnz>cqfZh\\j_lcmhmllqjuhxfz>brjdjp<egom<ogem>]wjajs<ajsj>fnkojpiojnkokqis>]wajsj>fnjniojpkojn>_usZaz>`ti^f_dbcgcjdofrisksnrpoqjqgpbn_k^i^>`tfbhak^ks>`tdcdbe`f_h^l^n_o`pbpdofmicsqs>`te^p^jfmfogphqkqmppnrkshserdqco>`tm^clrl<m^ms>`to^e^dgefhekenfphqkqmppnrkshserdqco>`tpao_l^j^g_ebdgdlepgrjsksnrppqmqlpingkfjfggeidl>`tq^gs<c^q^>`th^e_dadceegfkgnhpjqlqopqorlshserdqcocldjfhigmfoepcpao_l^h^>`tpeohmjjkikfjdhcecddaf_i^j^m_oapepjoomrjshserdp>fnjgihjikhjg<jniojpkojn>fnjgihjikhjg<kojpiojnkokqis>^vrabjrs>]wagsg<amsm>^vbarjbs>asdcdbe`f_h^l^n_o`pbpdofngjijl<jqirjskrjq>]xofndlcicgdfeehekfmhnknmmnk<icgefhfkgmhn<ocnknmpnrntluiugtdsbq`o_l^i^f_d`bbad`g`jambodqfrislsorqqrp<pcokompn>asj^bs<j^rs<elol>_tc^cs<c^l^o_p`qbqdpfoglh<chlhoipjqlqopqorlscs>`urcqao_m^i^g_eadccfckdnepgrismsorqprn>_tc^cs<c^j^m_oapcqfqkpnopmrjscs>`sd^ds<d^q^<dhlh<dsqs>`rd^ds<d^q^<dhlh>`urcqao_m^i^g_eadccfckdnepgrismsorqprnrk<mkrk>_uc^cs<q^qs<chqh>fnj^js>brn^nnmqlrjshsfreqdndl>_tc^cs<q^cl<hgqs>`qd^ds<dsps>^vb^bs<b^js<r^js<r^rs>_uc^cs<c^qs<q^qs>_uh^f_daccbfbkcndpfrhslsnrppqnrkrfqcpan_l^h^>_tc^cs<c^l^o_p`qbqepgohlici>_uh^f_daccbfbkcndpfrhslsnrppqnrkrfqcpan_l^h^<koqu>_tc^cs<c^l^o_p`qbqdpfoglhch<jhqs>`tqao_l^h^e_caccdeefggmiojpkqmqporlshsercp>brj^js<c^q^>_uc^cmdpfrisksnrppqmq^>asb^js<r^js>^v`^es<j^es<j^os<t^os>`tc^qs<q^cs>asb^jhjs<r^jh>`tq^cs<c^q^<csqs>cqgZgz<hZhz<gZnZ<gznz>cqc^qv>cqlZlz<mZmz<fZmZ<fzmz>brj\\bj<j\\rj>asazsz>fnkcieigjhkgjfig>atpeps<phnfleiegfehdkdmepgrislsnrpp>`sd^ds<dhffhekemfohpkpmopmrkshsfrdp>asphnfleiegfehdkdmepgrislsnrpp>atp^ps<phnfleiegfehdkdmepgrislsnrpp>asdkpkpiognfleiegfehdkdmepgrislsnrpp>eqo^m^k_jbjs<gene>atpepuoxnylzizgy<phnfleiegfehdkdmepgrislsnrpp>ate^es<eihfjemeofpips>fni^j_k^j]i^<jejs>eoj^k_l^k]j^<kekvjyhzfz>are^es<oeeo<ikps>fnj^js>[y_e_s<_ibfdegeifjijs<jimfoeretfuius>ateees<eihfjemeofpips>atiegfehdkdmepgrislsnrppqmqkphnfleie>`sdedz<dhffhekemfohpkpmopmrkshsfrdp>atpepz<phnfleiegfehdkdmepgrislsnrpp>cpgegs<gkhhjfleoe>bsphofleieffehfjhkmlompopporlsisfrep>eqj^jokrmsos<gene>ateeeofrhsksmrpo<peps>brdejs<pejs>_ubefs<jefs<jens<rens>bseeps<pees>brdejs<pejshwfydzcz>bspees<eepe<esps>cqlZj[i\\h^h`ibjckekgii<j[i]i_jakbldlfkhgjkllnlpkrjsiuiwjy<ikkmkojqirhthvixjylz>fnjZjz>cqhZj[k\\l^l`kbjcieigki<j[k]k_jaibhdhfihmjilhnhpirjskukwjy<kkimiojqkrltlvkxjyhz>^vamakbhdgfghhlknlplrksi<akbidhfhhillnmpmrlsisg>brb^bscsc^d^dsese^f^fsgsg^h^hsisi^j^jsksk^l^lsmsm^n^nsoso^p^psqsq^r^rs').split('>').map(r=> { return [r.charCodeAt(0)-106,r.charCodeAt(1)-106, r.substr(2).split('<').map(a => {const ret = []; for (let i=0; i<a.length; i+=2) {ret.push(a.substr(i, 2).split('').map(b => b.charCodeAt(0)-106));} return ret; })]; }); return new Text(); }