www/includes/formulas.php

Tue, 31 Aug 2021 20:48:37 +0200

author
Michiel Broek <mbroek@mbse.eu>
date
Tue, 31 Aug 2021 20:48:37 +0200
changeset 774
92e1e8f175a2
parent 657
a5ade45597d8
permissions
-rw-r--r--

Split batch, adjust mash step volume. In the duplicated log_brew handle the missing values. In save product, round the mash step sg to 4 decimals. In prod_edit, ingredients are stored as strings, not arrays. This triggered a memory corruption that only happened in rare circumstances. Don't fix mash step fields in the javascript, it is already done during load from the database. Calculation of the mash volume is rounded to 6 decimals. Enter mash step Brix/Plato value, the SG result is rounded to 4 decimals.

<?php

define('EURO', chr(128));
define('DEG', chr(176));

define('SUGARDENSITY', '1.611');

define('MMCa', '40.048');
define('MMMg', '24.305');
define('MMNa', '22.98976928');
define('MMCl', '35.453');
define('MMSO4', '96.0626');
define('MMCO3', '60.01684');
define('MMHCO3', '61.01684');
define('MMCaSO4', '172.171');
define('MMCaCl2', '147.015');
define('MMCaCO3', '100.087');
define('MMMgSO4', '246.475');
define('MMNaHCO3', '84.007');
define('MMNa2CO3', '105.996');
define('MMNaCl', '58.443');
define('MMCaOH2', '74.06268');


function ebc_to_srm($ebc)
{
	$srm = -1.32303E-12 * pow($ebc, 4) - 0.00000000291515 * pow($ebc, 3) + 0.00000818515 * pow($ebc, 2) + 0.372038 * $ebc + 0.596351;
	if (($ebc < 0) || ($srm < 0))
		syslog(LOG_NOTICE, "ebc_to_srm(".$ebc.") = ".$srm);
	return $srm;
}



function srm_to_ebc($srm)
{
	// Formule van Adrie Otten. brouwhulp.
	$ebc = round( 0.000000000176506 * pow($srm, 4) + 0.000000154529 * pow($srm, 3) - 0.000159428 * pow($srm, 2) + 2.68837 * $srm - 1.6004 );
	if (($ebc < 0) || ($srm < 0))
		syslog(LOG_NOTICE, "srm_to_ebc(".$srm.") = ".$ebc);
	return $ebc;
}



function ebc_to_color($ebc)
{
	return srm_to_color(ebc_to_srm($ebc));
}



function srm_to_color($srm)
{
	$i = abs($srm * 10);
	if ($i < 0) {
		$i = 0;
	}
	if ($i > 299) {
		$i = 299;
	}

	/* Table copied from Brouwhulp/BrewBuddy */
	$R = array( 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250,	// 0
 		    250, 250, 250, 250, 250, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 238, 237, 236, 235,	// 2
		    234, 233, 232, 231, 230, 229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215,	// 4
		    214, 213, 212, 211, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 200, 199, 199, 198, 198,	// 6
		    197, 197, 196, 196, 195, 195, 194, 194, 193, 193, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192,	// 8
		    192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192,	// 10
		    192, 192, 192, 192, 192, 192, 192, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180,	// 12
		    179, 178, 177, 175, 174, 172, 171, 169, 168, 167, 195, 164, 162, 161, 159, 158, 157, 155, 154, 152,	// 14
		    151, 149, 148, 147, 145, 144, 142, 141, 139, 138, 137, 135, 134, 132, 131, 129, 128, 127, 125, 124,	// 16
		    122, 121, 119, 118, 117, 115, 114, 112, 111, 109, 108, 107, 105, 104, 102, 101,  99,  98,  97,  95,	// 18
		     94,  92,  91,  89,  88,  87,  85,  84,  82,  81,  79,  78,  77,  75,  74,  72,  71,  69,  68,  67,	// 20
		     65,  64,  62,  61,  59,  58,  57,  55,  54,  52,  51,  49,  48,  47,  45,  44,  43,  41,  39,  38,	// 22
		     37,  37,  36,  36,  35,  35,  34,  34,  33,  33,  32,  32,  31,  31,  30,  30,  29,  29,  28,  28,	// 24
		     27,  27,  26,  26,  25,  25,  24,  24,  23,  23,  22,  22,  21,  21,  20,  20,  19,  19,  18,  18,	// 26
		     17,  17,  16,  16,  15,  15,  14,  14,  13,  13,  12,  12,  11,  11,  10,  10,   9,   9,   8,   8 );

	$G = array( 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250,
		    250, 250, 250, 250, 250, 250, 249, 248, 247, 246, 245, 244, 242, 240, 238, 236, 234, 232, 230, 228,
		    226, 224, 222, 220, 218, 216, 214, 212, 210, 208, 206, 204, 202, 200, 198, 196, 194, 192, 190, 188,
		    186, 184, 182, 180, 178, 176, 174, 172, 170, 168, 166, 164, 162, 160, 158, 156, 154, 152, 150, 148,
		    146, 144, 142, 141, 140, 139, 139, 138, 137, 136, 136, 135, 134, 133, 133, 132, 131, 130, 130, 129,
		    128, 127, 127, 126, 125, 124, 124, 123, 122, 121, 121, 120, 119, 118, 118, 117, 116, 115, 115, 114,
		    113, 112, 112, 111, 110, 109, 109, 108, 107, 106, 106, 105, 104, 103, 103, 102, 101, 100, 100,  99,
		     98,  97,  97,  96,  95,  94,  94,  93,  92,  91,  91,  90,  89,  88,  88,  87,  86,  85,  85,  84,
		     83,  82,  82,  81,  80,  79,  78,  77,  76,  75,  75,  74,  73,  72,  72,  71,  70,  69,  69,  68,
		     67,  66,  66,  65,  64,  63,  63,  62,  61,  60,  60,  59,  58,  57,  57,  56,  55,  54,  54,  53,
		     52,  51,  51,  50,  49,  48,  48,  47,  46,  45,  45,  44,  43,  42,  42,  41,  40,  39,  39,  38,
		     37,  36,  36,  35,  34,  33,  33,  32,  31,  30,  30,  29,  28,  27,  27,  26,  25,  24,  24,  23,
		     22,  22,  22,  21,  21,  21,  20,  20,  20,  19,  19,  19,  18,  18,  18,  17,  17,  17,  16,  16,
		     16,  15,  15,  15,  14,  14,  14,  13,  13,  13,  12,  12,  12,  11,  11,  11,  10,  10,  10,   9,
		      9,   9,   8,   8,   8,   7,   7,   7,   6,   6,   6,   5,   5,   5,   4,   4,   4,   3,   3,   3 );

	$B = array( 210, 204, 199, 193, 188, 182, 177, 171, 166, 160, 155, 149, 144, 138, 133, 127, 122, 116, 111, 105,
		    100,  94,  89,  83,  78,  72,  67,  61,  56,  50,  45,  45,  45,  46,  46,  46,  46,  47,  47,  47,
		     47,  48,  48,  48,  48,  49,  49,  49,  49,  50,  50,  50,  50,  51,  51,  51,  51,  52,  52,  52,
		     52,  53,  53,  53,  53,  54,  54,  54,  54,  55,  55,  55,  55,  56,  56,  56,  56,  56,  56,  56,
		     56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,
		     56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,
		     56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,
		     56,  56,  56,  55,  55,  55,  55,  54,  54,  54,  54,  53,  53,  53,  53,  52,  52,  52,  52,  51,
		     51,  51,  51,  50,  50,  50,  50,  49,  49,  48,  47,  47,  46,  45,  45,  44,  43,  43,  42,  41,
		     41,  40,  39,  39,  38,  37,  37,  36,  35,  34,  33,  32,  31,  29,  28,  27,  26,  25,  24,  23,
		     21,  20,  19,  18,  17,  16,  15,  13,  12,  11,  10,   9,   8,   9,   9,  10,  10,  11,  11,  12,
		     12,  13,  13,  14,  14,  15,  15,  16,  16,  17,  17,  18,  18,  19,  19,  20,  20,  21,  21,  22,
		     21,  21,  21,  20,  20,  20,  19,  19,  19,  18,  18,  18,  17,  17,  17,  17,  16,  16,  15,  15,
		     15,  14,  14,  14,  13,  13,  13,  12,  12,  12,  11,  11,  11,  10,  10,  10,   9,   9,   9,   8,
		      8,   8,   7,   7,   7,   6,   6,   6,   5,   5,   5,   4,   4,   4,   3,   3,   3,   2,   2,   2 );

	return array($R[$i],$G[$i],$B[$i]);
}



function sg_to_plato($sg) {
//	if ($sg > 0.5)
//		return 259 - 259 / $sg;
//	return 0;
	return -668.962 + (1262.45 * $sg) - (776.43 * $sg * $sg) + (182.94 * $sg * $sg * $sg);
}



function plato_to_sg($plato) {
//	if ($plato < 259)
//		return 259 / (259 - $plato);
//	return 1.000;
	return 1.00001 + (0.0038661 * $plato) + (1.3488e-5 * $plato * $plato) + (4.3074e-8 * $plato * $plato * $plato);
}



function calc_svg($og, $fg) {
	$oe = sg_to_plato($og);
	$ae = sg_to_plato($fg);
	return ($oe - $ae) / $oe * 100;
}



/*
 * sugars is the total extract weight of sugars.
 */
function estimate_sg($sugars, $batch_size) {
	$plato = 100 * $sugars / $batch_size;
	$sg = plato_to_sg($plato);

	/* Average loops, HansH 5x. Brouwhulp 20x, about 10x is enough so keep 20. */
	for ($i = 0; $i < 20; $i++) {
		if ($sg > 0)
			$plato = 100 * $sugars / ($batch_size * $sg);
		$sg = plato_to_sg($plato);
	}
	return $sg;
}



function estimate_fg($percSugar, $percCara, $WGratio, $TotTme, $Temp, $attenuation, $og) {
	if ($percSugar > 40)
		$percSugar = 0;
	if ($percCara > 50)
		$percCara = 0;
	if (($WGratio > 0) && ($TotTme > 0)) {
		$BD = $WGratio;
		$BD = max(2, min(5.5, $BD));
		$Temp = max(60, min(72, $Temp));
	} else {
		$BD = 3.5;
		$Temp = 67;
		$TotTme = 75;
	}
	if ($attenuation < 30)
		$attenuation = 77;

	$AttBeer = 0.00825 * $attenuation + 0.00817 * $BD - 0.00684 * $Temp + 0.00026 * $TotTme - 0.00356 * $percCara + 0.00553 * $percSugar + 0.547;
	$fg = 1 + (1 - $AttBeer) * ($og - 1);
	return $fg;
}



function abvol($og, $fg) {
	$factor = $og * 3157 * pow(10, -5) + 9.716 * pow(10, -2);
	return ($og * 1000 - $fg * 1000) * $factor;
}


/*
 * Kleurwerking naar SRM
 */
function kw_to_srm($colormethod, $c) {

	if ($colormethod == 0)	// Morey
		return 1.4922 * pow($c, 0.6859);
	if ($colormethod == 1)	// Mosher
		return 0.3 * $c + 4.7;
	if ($colormethod == 2)	// Daniels
		return 0.2 * $c + 8.4;
}



function kw_to_ebc($colormethod, $c) {
	return srm_to_ebc(kw_to_srm($colormethod, $c));
}



function calc_IBU($useat, $form, $sg, $volume, $mass, $boiltime, $alpha, $method, $whirlpool9, $whirlpool7, $whirlpool6)
{
	global $my_factor_mashhop;
	global $my_factor_fwh;
	global $my_factor_pellet;
	global $my_factor_plug;
	global $my_factor_wethop;
	global $my_factor_cryohop;

	$fmoment  = 1.0;
	if (($useat == 5) || ($useat == 4) || ($useat == 3)) {	// Dry hop, Whirlpool or Aroma
		$fmoment = 0.0;
	} else if ($useat == 0) {	// Mash
		$fmoment += $my_factor_mashhop / 100;         // Brouwhulp
	} else if ($useat == 1) {	// First wort
		$fmoment += $my_factor_fwh / 100;         // Brouwhulp, Louis, Ozzie
	}

	$pfactor  = 1.0;
	if ($form == 0) {	// Pellets
		$pfactor += $my_factor_pellet / 100;
	}
	if ($form == 1) {	// Plugs
		$pfactor += $my_factor_plug / 100;
	}
	if ($form == 3) {       // Wet leaf
                $pfactor += $my_factor_wethop / 100;
        }
	if ($form == 4) {       // Cryo hop
                $pfactor += $my_factor_cryohop / 100;
        }

	$whirlibus = 0;
        if ($useat == 3 || $useat == 4) { // Flameout or any whirlpool
		if ($whirlpool9) {
			$whirlibus += ($mass * ($alpha / 100) * 20) / $volume * $whirlpool9 / 50;
		} else {
			if ($useat == 3) // Flameout hops are 2 minutes in this range.
				$whirlibus += ($mass * ($alpha / 100) * 20) / $volume * (2 / 50);
		}
		if ($whirlpool7) {
			$whirlibus += ($mass * ($alpha / 100) * 6) / $volume * $whirlpool7 / 50;
		} else {
			if ($useat == 3) // Flameout hops are 4 minutes in this range.
				$whirlibus += ($mass * ($alpha / 100) * 6) / $volume * (4 / 50);
		}
		if ($whirlpool6)
			$whirlibus += ($mass * ($alpha / 100) * 2) / $volume * $whirlpool6 / 50;
	}

	$ibu = 0;
	if (($method == 0) || ($method == 3)) {	// Tinseth or Garetz // For Garetz, we need the $ibu
		$AddedAlphaAcids = (($alpha / 100) * $mass * 1000) / $volume;
		$Bigness_factor = 1.65 * pow( 0.000125, $sg - 1);
		$BoilTime_factor = ((1 - exp(-0.04 * $boiltime)) / 4.15);
		$utiisation = $Bigness_factor * $BoilTime_factor;
		$ibu = (round(($utiisation * $AddedAlphaAcids * $fmoment * $pfactor + $whirlibus) * 10) / 10.0);
	}
	if ($method == 2) {	// Daniels

		if ($form == 2)	// Leaf
			$boilfactor = -(0.0041*$boiltime*$boiltime)+(0.6162*$boiltime)+1.5779;
		else
			$boilfactor = -(0.0051*$boiltime*$boiltime)+(0.7835*$boiltime)+1.9348;
		if ($sg < 1.050)
			$sgfactor = 0;
		else
			$sgfactor = (($sg * 1000) - 1050) / 200;
		$ibu = $fmoment * (($mass * $alpha * $boilfactor * 0.1) / ($volume * (1 + $sgfactor))) + $whirlibus;
	}
	if ($method == 1) {	// Rager
		$boilfactor = $fmoment * 18.11 + 13.86 * tanh(($boiltime * 31.32) / 18.27);
		if ($sg < 1.050)
			$sgfactor = 0;
		else
			$sgfactor = (($sg * 1000) - 1050) / 200;
		$ibu = ($mass * $alpha * $boilfactor * 0.1) / ($volume * (1 + $sgfactor)) + $whirlibus;
	}
	if ($method == 3) {	// Garetz, not in use.
		/* Something is wrong, late hops and dryhops give negative results. */
		$boilfactor = $fmoment * 6.03253 + 16.5289 * tanh(($boiltime - 19.17323) / 26.8013);
		$cfactor = $volume / (1.1 * $volume);	// ConcentratieFactor = (Volume na koelen) / (Volume bij Koken)
		$kookdichtheid = ($cfactor * (($sg * 1000) - 1000) / 1000) + 1;
		$sgfactor = ($kookdichtheid - 1.05) / 0.2 + 1;
		$hopratefactor = (($cfactor * $ibu) / 260) + 1;	// $ibu is Tinseth bitterness. Weird.
		$tempfactor = (32.8/550)*0.02+1;
		$ibu = ($boilfactor * $alpha * $mass * 0.1) / ($volume * $sgfactor * $hopratefactor * $tempfactor);
	}
	return $ibu;
}



function kettle_cm($vol, $kettle_vol, $kettle_height) {

	if (($vol > 0) && ($kettle_vol > 0) && ($vol <= $kettle_vol))
		return 100 * ((1 - $vol / $kettle_vol) * $kettle_height);
	return 0;
}



function density_str($sg) {

	global $my_brix_correction;
	$plato = sg_to_plato(floatval($sg));
	$brix = $plato * $my_brix_correction;
	return sprintf("%.3f", floatval($sg))." SG  ".sprintf("%.1f",$brix).DEG.'Brix  '.sprintf("%.1f",$plato).DEG.'P';
}


?>

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