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plots2.js
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plots2.js
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var plots2 = {
CellSizes: [81, 27, 9, 3, 1],
//context information for a broken up piece of (plotting) Work
wcx: {
compilled_formula: undefined,
isComplex: undefined,
canvas_ctx: undefined,
samples_sets: [],
winW: undefined,
winH: undefined,
cell_size: undefined,
interval_size: undefined,
r_aspect: undefined,
n_steps_x: undefined,
n_steps_y: undefined,
n_steps_xH: undefined,
n_steps_yH: undefined,
x_randomise: undefined,
y: undefined,
x: undefined,
res: undefined,
res_lim: undefined,
recursive_timeoutID: null,
start_time: undefined,
res_start_time: undefined,
callback: undefined,
background: false,
iterations_expected: 0,
iterations_counted: 0,
val_upper_saturate_colour: 2,
val_lower_saturate_colour: -2
},
draw_job: function(plot_uid, options){
/*
options are:
"visible" - boolean
"callback" - function
"res_lim" - integer
*/
options = options || {visible: true};//by default, make the current one visible...
this.wcx.background = !options.visible;
// Cancel any pre-existing draw job
if(this.wcx.recursive_timeoutID != null){
clearTimeout(this.wcx.recursive_timeoutID);
}else{
if(!this.wcx.background){
$("#Tab-plot #z-5 #plot-status div").hide();
$("#Tab-plot #z-5 #working").show();
}
}
this.wcx.start_time = new Date();
// remove all displaying "Rendered Pointset" points
density_util.Draw_many_using_CDF(0, {clearAllExisting: true, dotAsMotif: true});
var Plot_i = DM.plotArray[plots.selected_row_i];
if(plot_uid !== undefined){
Plot_i = DM.GetByKey_( DM.plotArray, "uid", plot_uid)
}
this.wcx.plot_uid = Plot_i.uid
this.wcx.callback = options.callback || function(){};
this.wcx.compilled_formula = math.compile(Plot_i.formula);
// note that this test for string contains 'z' is different to the test used elsewhere...
this.wcx.isComplex = Plot_i.formula.includes("z");
//assume 1 otherwise
this.wcx.res_lim = options.res_lim || parseInt($("#Tab-plot #z-5 #res-lim input").val()) || 1;
this.wcx.winW = $(window).width();
this.wcx.winH = $(window).height();
// Add a new canvas for the required plot into the dom, if it does not already exist
var pID = "plot-" + this.wcx.plot_uid;
var $c = $("body > #backgrounds canvas#" + pID)
if( $c.length > 0 ){
// if so, just update its dimentions
$c.attr("width", this.wcx.winW)
.attr("height", this.wcx.winH);
}else{
// otherwise, create it and append to backgounds...
$c = $('<canvas/>')
.attr("width", this.wcx.winW)
.attr("height", this.wcx.winH)
.addClass("plot")
.attr("id", pID);
$("#backgrounds").append( $c );
}
// make all plot canvases hidden, except maybe the current one...
$("body > #backgrounds canvas.plot").hide();
if(options.visible){
$("body > #backgrounds canvas#" + pID).show();
}
this.wcx.canvas_ctx = $c[0].getContext('2d');
//function calls
this.wcx.iterations_counted = 0;
this.wcx.iterations_expected = this.calc_total_iterations();//call after grabbing canvas
this.set_for_res(0);
// 10000 iterations seems to take around 100ms on my laptop => around 50% duty
this.recursive_work_step(200, 200);//start the chain Work=200, rest=100
},
abort_recursive_work: function(){
clearTimeout(this.wcx.recursive_timeoutID);
this.wcx.recursive_timeoutID = null;
if(!this.wcx.background){
$("#Tab-plot #z-5 #plot-status div").hide();
$("#Tab-plot #z-5 #aborted").show();
}
},
calc_total_iterations: function(){
var total_Its = 0;
for(var i = 0; this.CellSizes[i] >= this.wcx.res_lim; i++){
//call the side effect fn
this.set_for_res(i, true);
total_Its += this.wcx.n_steps_xH * this.wcx.n_steps_yH * 4;
}
return total_Its;
},
set_for_res: function(res, dummy){
this.wcx.res = res;
this.wcx.res_start_time = new Date();
this.wcx.x = 0;
this.wcx.y = 0;
this.wcx.cell_size = this.CellSizes[this.wcx.res];
this.wcx.interval_size = 2 * (this.wcx.cell_size/this.wcx.winW);// in units of [-1, +1] for function
this.wcx.r_aspect = this.wcx.winH / this.wcx.winW;
this.wcx.n_steps_x = Math.ceil((1 / this.wcx.interval_size) - 0.5)*2 + 1;
this.wcx.n_steps_y = Math.ceil((this.wcx.r_aspect / this.wcx.interval_size) - 0.5)*2 + 1;
this.wcx.n_steps_xH = Math.floor(this.wcx.n_steps_x/2)// number of steps wholely contained in x<0 half
this.wcx.n_steps_yH = Math.floor(this.wcx.n_steps_y/2)// number of steps wholely contained in x<0 half
if(dummy !== true){
//logic here to manage random column order feature
this.wcx.x_randomise = [];
for(var i = 0; i < this.wcx.n_steps_x; i++){
this.wcx.x_randomise.push({
i: i,
marker: Math.random()
});
}
function compare(a,b) {
if (a.marker < b.marker)
return -1;
if (a.marker > b.marker)
return 1;
return 0;
}
this.wcx.x_randomise.sort(compare);
$("#Tab-plot #z-5 #working #res-cur").text(this.wcx.cell_size);
//Additional code here to update the thumbails..
var uid = this.wcx.plot_uid;
var $MainPlot = $("#backgrounds canvas#plot-"+uid);
var $ThumbPlot = $("#plots-table td.col-4 canvas#th-pl-"+uid);
var mW = $MainPlot.width();
var mH = $MainPlot.height();
var isP = mH > mW; //portrait
var th_W = 45 * (isP ? mW/mH : 1);
var th_H = 45 * (isP ? 1 : mH/mW);
$ThumbPlot
.attr("width", th_W)
.attr("height", th_H);
var thumb_ctx = $ThumbPlot[0].getContext("2d");
thumb_ctx.drawImage( $MainPlot[0], 0,0, th_W, th_H);
}
},
av_step_time: [1/100],// as a starting value, assume a single iteration takes 0.01ms
recursive_work_step: function(work_duration_targ, free_duration){
var sum = this.av_step_time.reduce(function(a, b) { return a + b; });
var avg = sum / this.av_step_time.length; // the average durations of recent work chunks
var iterations = work_duration_targ / avg;
var t_sta = new Date();
//Perform actual work via the "EXECUTE ITERATIONS" function.
var Response = this.execute_iterations(iterations);
if(!Response.complete){// INCOMPLETE
// SET UP THE TIMEOUT-BASED RECURSIVE CALL HERE...
this.wcx.recursive_timeoutID = setTimeout(function(){
plots2.recursive_work_step(work_duration_targ, free_duration);
}, free_duration);
// 1. displaying PERCENT complete of draw-job, based upon counting iterations
this.wcx.iterations_counted += Response.iterations_run;
var pc_raw = 100 * this.wcx.iterations_counted / this.wcx.iterations_expected
$("#Tab-plot #z-5 #working #pc-compl").text(pc_raw.toFixed(1));
// 2. RECORD the average time per iteration, for use in calculating future quantities of iterations.
var dur = (new Date() - t_sta);
//add the new time and pop the old one
this.av_step_time.push(dur / Response.iterations_run);
if(this.av_step_time.length > 4){
this.av_step_time.splice(0,1);
}
}else{// COMPLETE
this.wcx.recursive_timeoutID = null;
if(!this.wcx.background){
$("#Tab-plot #z-5 #plot-status div").hide();
$("#Tab-plot #z-5 #complete").show();
var t_now = new Date();
var t_overall = t_now - plots2.wcx.start_time;
var t_final = t_now - plots2.wcx.res_start_time;
$("#Tab-plot #z-5 #complete #t-overall").text((t_overall/1000).toFixed(1));
$("#Tab-plot #z-5 #complete #t-final").text((t_final/1000).toFixed(1));
}
this.wcx.callback();
}
},
// CARRY OUT the work for fixed number of iterations.
execute_iterations: function(iterations){
for(var i = 0; i<iterations; i++){
//set to a blank array (may be scrapping old data, or first assignment).
if((this.wcx.x == 0)&&(this.wcx.y == 0)){
this.wcx.samples_sets[this.wcx.res] = [];
}
// Shorthand....
var samples = this.wcx.samples_sets[this.wcx.res];
var random_x = this.wcx.x_randomise[this.wcx.x].i; // this is an ACCESS operation on an array of randomised
// 1. calculating the sample (_Lc is abbreviation for 'location')
var x_Lc = (random_x - this.wcx.n_steps_xH) * this.wcx.interval_size;
var y_Lc = (this.wcx.y - this.wcx.n_steps_yH) * this.wcx.interval_size;
//this 2D variable may be a cartesian coordinate or a complex value
var indep_variable = this.wcx.isComplex ? {z: math.complex(x_Lc, y_Lc)} : {x: x_Lc, y: y_Lc};
var my_fz = this.wcx.compilled_formula.eval(indep_variable);/////MATHS EVALUATION AT POINT
var my_h = this.wcx.isComplex ? my_fz.re : my_fz;
// 2.store calculated value....
samples.push(my_h);
// 3. Draw onto canvas
// 3.1 Set colour according to conversion function.
this.wcx.canvas_ctx.fillStyle = this.HexColour_from_fnValue(my_h);
// 3.2 determine draw location
var x_location_px = Math.round((this.wcx.winW/2) + (random_x - this.wcx.n_steps_xH - 0.5)*this.wcx.cell_size);
var y_location_px = Math.round((this.wcx.winH/2) + (this.wcx.y - this.wcx.n_steps_yH - 0.5)*this.wcx.cell_size);
this.wcx.canvas_ctx.fillRect (x_location_px, y_location_px, this.wcx.cell_size, this.wcx.cell_size);//x,y,w,h
this.wcx.y++;
// Iteration control, for state variables...
if (this.wcx.y >= this.wcx.n_steps_y){//test if column finished
this.wcx.y=0;
this.wcx.x++;
//Case: whole screen finished....
if (this.wcx.x >= this.wcx.n_steps_x){
this.wcx.x = 0;
this.wcx.res++;
// now we have a complete point-set, draw histogram.
if(!this.wcx.background){
plots.histogram_stats(samples);
}
// (A) Test if completely finished drawing at the finest resolution
var job_done = (this.wcx.res >= this.CellSizes.length) || (this.CellSizes[this.wcx.res] < this.wcx.res_lim);
//recalculate a bunch of resolution stuff
// (B) about to redraw it all at a finer resolution
if(!job_done){
this.set_for_res(this.wcx.res);
}
//whether completely finished, or just finished at a particular res, terminate / pause for a breath here.
return {complete: job_done, iterations_run: i}; // return ACTUAL number of iterations.
}
}
}
//designated number of iterations ran, and work is ongoing.
return {complete: false, iterations_run: iterations};
},
render_plot_canvases_background: function(){
var pre_calc_plots_ts = new Date();
// initiate all the plots
var genPlotArray = function(plot_index, res_index){
var res_px = plots2.CellSizes[res_index];
var Plot_i = DM.plotArray[plot_index];
if(!Plot_i){
console.log("Completed plot precalc at res "+res_px+"px. Elapsed: "+((new Date())-pre_calc_plots_ts)/1000+"s");
if(res_index < 4){
genPlotArray(0, res_index+1);
}
return;
}else{
plots2.draw_job(Plot_i.uid, {
visible: false,
callback: function(){genPlotArray(plot_index+1, res_index)},
res_lim: res_px,
});
}
};
genPlotArray(0,0);
},
// heat map array: white, cream, scarlet, magenta, deep blue, black
hmA: ["#FFFFFF", "#FFE480", "#FF4C00", "#C70089", "#270385", "#000000"],
hmCS: [0.9, 0.7, 0.45, 0.2],
colouring_func: function(value, scheme){
//assign "value" to a variable called "r"
r = Math.min(1, Math.max(0, value));
if(scheme == 0){//rainbow effect, cycle HUE only
return tinycolor.fromRatio({ h: r, s: 1, l: 0.5 }).toHexString();
}else if(scheme == 1){//greyscale effect
return tinycolor.fromRatio({ r: r, g: r, b: r}).toHexString();
}else if(scheme == 2){//posi-negi effect
if(r > 0.5){
return tinycolor.mix('white', '#E05000', amount = 100 * 2 * (r-0.5) );
}else{
return tinycolor.mix('white', '#0092E0', amount = 100 * 2 * (0.5-r) );
}
}else if(scheme == 3){//heatmap effect
if(r < this.hmCS[3]){
return tinycolor.mix(this.hmA[5], this.hmA[4], amount = 100 * r / this.hmCS[3] );
}else if(r < this.hmCS[2]){
return tinycolor.mix(this.hmA[4], this.hmA[3], amount = 100 * (r-this.hmCS[3])/(this.hmCS[2]-this.hmCS[3]) );
}else if(r < this.hmCS[1]){
return tinycolor.mix(this.hmA[3], this.hmA[2], amount = 100 * (r-this.hmCS[2])/(this.hmCS[1]-this.hmCS[2]) );
}else if(r < this.hmCS[0]){
return tinycolor.mix(this.hmA[2], this.hmA[1], amount = 100 * (r-this.hmCS[1])/(this.hmCS[0]-this.hmCS[1]) );
}else{
return tinycolor.mix(this.hmA[1], this.hmA[0], amount = 100 * (r-this.hmCS[0])/(1-this.hmCS[0]) );
}
}
},
colours_prelookup: [],
load_colours_prelookup: function(){
var n_schemes = 4;
var n_points = 501;
for(var i = 0; i < n_schemes; i++){
this.colours_prelookup[i] = [];
for(var j=0; j < n_points; j++){
var real_val = j / (n_points-1);
this.colours_prelookup[i][j] = this.colouring_func(real_val, i);
}
}
},
HexColour_from_fnValue: function(fn_value, use_0to1_range){
if(use_0to1_range === true){
var r = fn_value;
}else{
var UU = this.wcx.val_upper_saturate_colour;
var LL = this.wcx.val_lower_saturate_colour;
var r = (fn_value - LL) / (UU - LL);
}
r = Math.min(1, Math.max(0, r));//saturate the value at 0 and 1.
var lkup = parseInt(r*500 + 0.5);
return this.colours_prelookup[plots.UI_props.prev.colouring][lkup];
}
};