www/includes/formulas.php

Wed, 06 May 2020 14:14:14 +0200

author
Michiel Broek <mbroek@mbse.eu>
date
Wed, 06 May 2020 14:14:14 +0200
changeset 667
1246550451ca
parent 657
a5ade45597d8
permissions
-rw-r--r--

Removed the last compressed css file. Reworked all mash steps, implemented deconction steps. Added calculations for infuse amounts and decoctions amounts. The mash steps are now manually sorted in the editor grids to have full control over the steps order. Display errors in red in the grid. Updated beerxml export, the product checklist and print output of the products and recipes for all these mash steps changes.

<?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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