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calibrationSG.htm
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<html>
<head>
<script src="http://code.jquery.com/jquery.min.js"></script>
<script src="http://Tom-Alexander.github.io/regression-js/jquery.flot.js"></script>
<!--
Vito Tai. 2017.
-->
<script>
/* Regression.JS */
/* the librar is embedded for your convenience .*/
/**
* @license
*
* Regression.JS - Regression functions for javascript
* http://tom-alexander.github.com/regression-js/
*
* copyright(c) 2013 Tom Alexander
* Licensed under the MIT license.
*
* @module regression - Least-squares regression functions for JavaScript
**/
! function(a, b) {
var c;
return c = "function" == typeof define && define.amd ? define("regression", b) : "undefined" != typeof module ? module.exports = b() : a.regression = b()
}(this, function() {
"use strict";
function a(a, b) {
var c = a.reduce(function(a, b) {
return a + b[1]
}, 0),
d = c / a.length,
e = a.reduce(function(a, b) {
var c = b[1] - d;
return a + c * c
}, 0),
f = a.reduce(function(a, c, d) {
var e = b[d],
f = c[1] - e[1];
return a + f * f
}, 0);
return 1 - f / e
}
function b(a, b) {
var c = 0,
d = 0,
e = 0,
f = 0,
g = 0,
h = a.length - 1,
i = new Array(b);
for (c = 0; h > c; c++) {
for (f = c, d = c + 1; h > d; d++) Math.abs(a[c][d]) > Math.abs(a[c][f]) && (f = d);
for (e = c; h + 1 > e; e++) g = a[e][c], a[e][c] = a[e][f], a[e][f] = g;
for (d = c + 1; h > d; d++)
for (e = h; e >= c; e--) a[e][d] -= a[e][c] * a[c][d] / a[c][c]
}
for (d = h - 1; d >= 0; d--) {
for (g = 0, e = d + 1; h > e; e++) g += a[e][d] * i[e];
i[d] = (a[h][d] - g) / a[d][d]
}
return i
}
function c(a, b) {
var c = Math.pow(10, b);
return Math.round(a * c) / c
}
var d, e = 2,
f = {
linear: function(b, d, e) {
for (var f, g, h, i = [0, 0, 0, 0, 0], j = b.length, k = 0; j > k; k++) null !== b[k][1] && (i[0] += b[k][0], i[1] += b[k][1], i[2] += b[k][0] * b[k][0], i[3] += b[k][0] * b[k][1], i[4] += b[k][1] * b[k][1]);
return g = (j * i[3] - i[0] * i[1]) / (j * i[2] - i[0] * i[0]), h = i[1] / j - g * i[0] / j, f = b.map(function(a) {
var b = a[0];
return [b, g * b + h]
}), {
r2: a(b, f),
equation: [g, h],
points: f,
string: "y = " + c(g, e.precision) + "x + " + c(h, e.precision)
}
},
linearthroughorigin: function(b, d, e) {
for (var f, g, h = [0, 0], i = 0; i < b.length; i++) null !== b[i][1] && (h[0] += b[i][0] * b[i][0], h[1] += b[i][0] * b[i][1]);
return f = h[1] / h[0], g = b.map(function(a) {
var b = a[0];
return [b, f * b]
}), {
r2: a(b, g),
equation: [f],
points: g,
string: "y = " + c(f, e.precision) + "x"
}
},
exponential: function(b, d, e) {
for (var f, g, h, i, j = [0, 0, 0, 0, 0, 0], k = 0; k < b.length; k++) null !== b[k][1] && (j[0] += b[k][0], j[1] += b[k][1], j[2] += b[k][0] * b[k][0] * b[k][1], j[3] += b[k][1] * Math.log(b[k][1]), j[4] += b[k][0] * b[k][1] * Math.log(b[k][1]), j[5] += b[k][0] * b[k][1]);
return f = j[1] * j[2] - j[5] * j[5], g = Math.exp((j[2] * j[3] - j[5] * j[4]) / f), h = (j[1] * j[4] - j[5] * j[3]) / f, i = b.map(function(a) {
var b = a[0];
return [b, g * Math.exp(h * b)]
}), {
r2: a(b, i),
equation: [g, h],
points: i,
string: "y = " + c(g, e.precision) + "e^(" + c(h, e.precision) + "x)"
}
},
logarithmic: function(b, d, e) {
for (var f, g, h, i = [0, 0, 0, 0], j = b.length, k = 0; j > k; k++) null !== b[k][1] && (i[0] += Math.log(b[k][0]), i[1] += b[k][1] * Math.log(b[k][0]), i[2] += b[k][1], i[3] += Math.pow(Math.log(b[k][0]), 2));
return g = (j * i[1] - i[2] * i[0]) / (j * i[3] - i[0] * i[0]), f = (i[2] - g * i[0]) / j, h = b.map(function(a) {
var b = a[0];
return [b, f + g * Math.log(b)]
}), {
r2: a(b, h),
equation: [f, g],
points: h,
string: "y = " + c(f, e.precision) + " + " + c(g, e.precision) + " ln(x)"
}
},
power: function(b, d, e) {
for (var f, g, h, i = [0, 0, 0, 0], j = b.length, k = 0; j > k; k++) null !== b[k][1] && (i[0] += Math.log(b[k][0]), i[1] += Math.log(b[k][1]) * Math.log(b[k][0]), i[2] += Math.log(b[k][1]), i[3] += Math.pow(Math.log(b[k][0]), 2));
return g = (j * i[1] - i[2] * i[0]) / (j * i[3] - i[0] * i[0]), f = Math.exp((i[2] - g * i[0]) / j), h = b.map(function(a) {
var b = a[0];
return [b, f * Math.pow(b, g)]
}), {
r2: a(b, h),
equation: [f, g],
points: h,
string: "y = " + c(f, e.precision) + "x^" + c(g, e.precision)
}
},
polynomial: function(d, e, f) {
var g, h, i, j, k, l, m, n, o = [],
p = [],
q = 0,
r = 0,
s = d.length;
for (h = "undefined" == typeof e ? 3 : e + 1, i = 0; h > i; i++) {
for (k = 0; s > k; k++) null !== d[k][1] && (q += Math.pow(d[k][0], i) * d[k][1]);
for (o.push(q), q = 0, g = [], j = 0; h > j; j++) {
for (k = 0; s > k; k++) null !== d[k][1] && (r += Math.pow(d[k][0], i + j));
g.push(r), r = 0
}
p.push(g)
}
for (p.push(o), m = b(p, h), l = d.map(function(a) {
var b = a[0],
c = m.reduce(function(a, c, d) {
return a + c * Math.pow(b, d)
}, 0);
return [b, c]
}), n = "y = ", i = m.length - 1; i >= 0; i--) n += i > 1 ? c(m[i], f.precision) + "x^" + i + " + " : 1 === i ? c(m[i], f.precision) + "x + " : c(m[i], f.precision);
return {
r2: a(d, l),
equation: m,
points: l,
string: n
}
},
lastvalue: function(b, d, e) {
for (var f = [], g = null, h = 0; h < b.length; h++) null !== b[h][1] && isFinite(b[h][1]) ? (g = b[h][1], f.push([b[h][0], b[h][1]])) : f.push([b[h][0], g]);
return {
r2: a(b, f),
equation: [g],
points: f,
string: "" + c(g, e.precision)
}
}
};
return d = function(a, b, c, d) {
var g = "object" == typeof c && "undefined" == typeof d ? c : d || {};
return g.precision || (g.precision = e), "string" == typeof a ? f[a.toLowerCase()](b, c, g) : null
}
});
/*** end of Regression.JS **/
var q = function(s) {
return document.querySelector(s);
};
function s_ajax(b) {
var c = new XMLHttpRequest();
c.onreadystatechange = function() {
if (c.readyState == 4) {
if (c.status == 200) {
b.success(c.responseText)
} else {
c.onerror(c.status)
}
}
};
c.ontimeout = function() {
if (typeof b["timeout"] != "undefined") b.timeout();
else c.onerror(-1)
}, c.onerror = function(a) {
if (typeof b["fail"] != "undefined") b.fail(a)
};
c.open(b.m, b.url, true);
if (typeof b["data"] != "undefined") {
c.setRequestHeader("Content-Type", (typeof b["mime"] != "undefined") ? b["mime"] : "application/x-www-form-urlencoded");
c.send(b.data)
} else c.send()
}
function C2F(c) {
return (c * 1.8 + 32);
}
var BrewMath = {
plato2sg: function(plato) {
return 1 + plato / (258.6 - ((plato / 258.2) * 227.1));
// SG = 1+ (plato / (258.6 – ( (plato/258.2) *227.1) ) )
},
sg2brix: function(sg) {
//Brix = (((182.4601 * SG -775.6821) * SG +1262.7794) * SG -669.5622)
return ((182.4601 * sg - 775.6821) * sg + 1262.7794) * sg - 669.5622;
},
sg2plato: function(sg) {
//plato = (-1 * 616.868) + (1111.14 * sg) – (630.272 * sg^2) + (135.997 * sg^3)
return -616.868 + (1111.14 * sg) - (630.272 * sg * sg) + (135.997 * sg * sg * sg);
},
sgTempCorrectedC: function(Reading, C, CT) {
return BrewMath.sgTempCorrected(Reading, C2F(C), C2F(CT));
},
sgTempCorrected: function(Reading, F, CT) {
return Reading * ((1.00130346 - 0.000134722124 * F + 0.00000204052596 * F * F - 0.00000000232820948 * F * F * F) / (1.00130346 - 0.000134722124 * CT + 0.00000204052596 * CT * CT - 0.00000000232820948 * CT * CT * CT));
},
brix2sg: function(brix, wc) {
wc = (typeof wc === "undefined") ? 1.0 : wc;
var bi = brix / wc;
return (bi / (258.6 - ((bi / 258.2) * 227.1))) + 1;
}
};
function applyTempCal() {
var cal = parseFloat(q("#tempcalvalue").value);
if (isNaN(cal)) {
alert("invalid calibration value");
return;
}
console.log("temp cal:" + cal);
s_ajax({
url: tcurl,
m: "POST",
data: "tc=" + cal,
success: function(d) {
alert("done");
},
fail: function(d) {
alert("failed:" + d);
}
});
}
function setSg(sgn, bx) {
q("#sgvalue").innerHTML = sgn.toFixed(3);
q("#brixvalue").innerHTML = bx.toFixed(1);
window.sg = sgn;
window.brix = bx;
}
function sgchanged() {
var sg = q("#sginput").value.trim();
if (sg == "") return;
var tc = q("#tempcorrect").checked;
var ct = q("#sgcorrect").value.trim();
//clear brix to avoid confusing
q("#brixinput").value = "";
var sgn = parseFloat(sg);
if (tc) {
sqn = BrewMath.sgTempCorrectedC(sgn, SSE.temp, ct);
}
var bx = BrewMath.sg2brix(sgn);
setSg(sgn, bx);
}
function brixchanged() {
var brix = q("#brixinput").value.trim();
if (brix == "") return;
var wc = q("#wortcorrect").value.trim();
q("#sginput").value = "";
var bx = parseFloat(brix) / parseFloat(wc);
var sgn = BrewMath.brix2sg(bx);
setSg(sgn, bx);
}
var TiltPoints = {
points: [],
clear: function() {
var tbody = document.getElementById("pointlist").getElementsByTagName("tbody")[0];
var rl = tbody.getElementsByTagName("tr");
var count = rl.length;
for (var i = rl.length - 1; i > 0; i--) {
var tr = rl[i];
tr.parentNode.removeChild(tr);
}
return tbody;
},
del: function(i) {
console.log("delete " + i);
this.points.splice(i, 1);
this.list();
},
newrow: function(i) {
var tr = document.createElement("tr");
var td1 = document.createElement("td");
td1.className = "pl_del";
var db = document.createElement("button");
db.appendChild(document.createTextNode("X"));
db.onclick = function() {
TiltPoints.del(i);
};
td1.appendChild(db);
var td2 = document.createElement("td");
td2.className = "pl_tilt";
td2.innerHTML = this.points[i][0];
var td3 = document.createElement("td");
td3.className = "pl_brix";
td3.innerHTML = BrewMath.sg2brix(this.points[i][1]).toFixed(1); //this.points[i][1];
var td4 = document.createElement("td");
td4.className = "pl_sg";
td4.innerHTML = this.points[i][1]; // BrewMath.brix2sg(this.points[i][1]).toFixed(3);
var td5i = document.createElement("td");
td5i.className = "pl_2ndvalue";
if (typeof window.secValue != "undefined")
td5i.innerHTML = window.secValue[i].toFixed(3);
var td5 = document.createElement("td");
td5.className = "pl_2nderror";
if (typeof window.secondError != "undefined")
td5.innerHTML = window.secondError[i].toFixed(4);
var td6i = document.createElement("td");
td6i.className = "pl_3rdvalue";
if (typeof window.thirdValue != "undefined")
td6i.innerHTML = window.thirdValue[i].toFixed(3);
var td6 = document.createElement("td");
td6.className = "pl_3rderror";
if (typeof window.thirdError != "undefined")
td6.innerHTML = window.thirdError[i].toFixed(4);
tr.appendChild(td1);
tr.appendChild(td2);
tr.appendChild(td3);
tr.appendChild(td4);
tr.appendChild(td5i);
tr.appendChild(td5);
tr.appendChild(td6i);
tr.appendChild(td6);
return tr;
},
list: function() {
this.regression();
var tbody = this.clear();
for (var i = 0; i < this.points.length; i++) {
tbody.appendChild(this.newrow(i));
}
},
regression: function() {
if (this.points.length < 2) return;
var thirdRegression = regression('polynomial', this.points, 3, {
precision: 9
});
var secondRegression = regression('polynomial', this.points, 2, {
precision: 9
});
// Plot the result
$.plot($('#graph'), [{
data: thirdRegression.points,
label: '3rd'
}, {
data: secondRegression.points,
label: '2nd'
}, {
data: this.points,
lines: {
show: false
},
points: {
show: true
}
}, ]);
q("#secondpoly").innerHTML = secondRegression.string;
q("#thirdpoly").innerHTML = thirdRegression.string;
// caluate errors
var sec_error = [];
var sec_value = [];
var secoe = secondRegression.equation;
var third_error = [];
var third_value = [];
var thirdcoe = thirdRegression.equation;
for (var i = 0; i < this.points.length; i++) {
var x = this.points[i][0];
var x2 = x * x;
var x3 = x2 * x;
var y = this.points[i][1]
var s = secoe[0] + secoe[1] * x + secoe[2] * x2;
var t = thirdcoe[0] + thirdcoe[1] * x + thirdcoe[2] * x2 + thirdcoe[3] * x3;
sec_error.push(s - y);
third_error.push(t - y);
sec_value.push(s);
third_value.push(t);
}
window.secondError = sec_error;
window.thirdError = third_error;
window.equation2nd = secoe;
window.equation3rd = thirdcoe;
window.secValue = sec_value;
window.thirdValue = third_value;
},
adddata: function() {
var tilt = parseFloat(q("#tiltinput").value);
var sg = window.sg;
if (isNaN(tilt) || isNaN(sg)) {
alert("invalid value");
return;
}
this.points.push([tilt, sg]);
this.points.sort(function(a, b) {
return a[0] - b[0];
});
this.list();
},
};
function setformula(order) {
var coeffs;
if (order == 2) {
if (typeof window.equation2nd == "undefined") {
alert("The formula is not yet derived.");
return;
}
coeffs = "a0=" + window.equation2nd[0] +
"&a1=" + window.equation2nd[1] +
"&a2=" + window.equation2nd[2];
} else {
if (typeof window.equation3rd == "undefined") {
alert("The formula is not yet derived.");
return;
}
coeffs = "a0=" + window.equation3rd[0] +
"&a1=" + window.equation3rd[1] +
"&a2=" + window.equation3rd[2] +
"&a3=" + window.equation3rd[3];
}
console.log("set equation:" + coeffs);
s_ajax({
url: equrl,
m: "POST",
data: coeffs,
success: function(d) {
alert("done");
},
fail: function(d) {
alert("failed:" + d);
}
});
}
function loaded() {}
function resettarget() {
s_ajax({
url: reseturl,
m: "GET",
success: function(d) {
alert("HailHydro will restart after 3 seconds.");
},
fail: function(d) {
alert("failed:" + d);
}
})
}
</script>
<style>
.sectitle {
margin: 4px;
font-size: 16pt;
}
.ledreddim {
background: #DE912F;
}
.ledgreen {
background: #70FC57;
}
.round-led-circle {
width: 16px;
height: 0;
padding-bottom: 16px;
border-radius: 50%;
border-style: outset;
overflow: hidden;
display: inline-block;
}
span.round-led {
width: 15px;
height: 15px;
display: table-cell;
text-align: center;
vertical-align: middle;
font-weight: bold;
text-decoration: none;
}
#readings th {
font-weight: bold;
}
#readings td {
color: blue;
}
.topcell {
vertical-align: top;
}
#pointlist th,
#pointlist td,
#pointlist tr,
#pointlist {
border: 1px solid;
border-collapse: collapse;
}
#pointlist th {
width: 52px;
background-color: #ffff27;
}
#pointlist td {
text-align: right;
}
#graph {
width: 500px;
height: 600px;
}
</style>
</head>
<body onload="loaded()">
<div class="sectitle gravity_cal"> Gravity Calibration</div>
<div class="secdiv gravity_cal">
<table>
<tr>
<td colspan="2">
<fieldset id="inputpoints">
<div>
SG:<input type="text" size="6" id="sginput" value="" onchange="sgchanged()"></input>
<input type="checkbox" id="tempcorrect" onchange="sgchanged()"></input>Temperature Corrected. CAL@
<input type="text" size="3" id="sgcorrect" value="20" onchange="sgchanged()">°C ,or <br> BRIX:
<input type="text" size="6" id="brixinput" onchange="brixchanged()">°Bx </input>@Wort Correction:
<input type="text" size="4" id="wortcorrect" value="1.0" onchange="brixchanged()"></input>
</div>
<div>
SG=<span id="sgvalue"></span>, Brix:<span id="brixvalue"></span>°Bx, Tilt:<input type="text" size="6" id="tiltinput"></input>
<button onclick="TiltPoints.adddata();">Add Data</button>
</div>
</fieldset>
<td>
</tr>
<tr>
<td class="topcell">
<table id="pointlist">
<tr>
<th></th>
<th>Tilt</th>
<th>Plato</th>
<th>SG</th>
<th>Degree 2 Value</th>
<th>Degree 2 Error</th>
<th>Degree 3 Value</th>
<th>Degree 3 Error</th>
</tr>
</table>
</td>
<td>
<div id="graph"></div>
</td>
<tr>
<tr>
<td colspan="2">Degree 2:<span id="secondpoly"></span></td>
</tr>
<tr>
<td colspan="2">Degree 3:<span id="thirdpoly"></span></td>
</tr>
</table>
</div>
</body>
</html>