www/includes/formulas.php

Wed, 23 Oct 2019 14:20:50 +0200

author
Michiel Broek <mbroek@mbse.eu>
date
Wed, 23 Oct 2019 14:20:50 +0200
branch
divide
changeset 533
be8691b7d634
parent 446
ee7bcfb8e270
child 539
fe9ac6d49c4f
permissions
-rw-r--r--

Added the product divide scripts. All parts have all the volumes and weights divided, including the master record. Splitted batches have their own records with the product code formatted as code-n. From this design, we can rebuild the print and checklist.

<?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;
}



function plato_to_sg($plato) {
	if ($plato < 259)
		return 259 / (259 - $plato);
	return 1.000;
}



/*
 * 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;
	//if ((4.749804 - $fg) <> 0)
	//	return 486.8693 * ($og - $fg) / (4.749804 - $fg);
	//return 0;
}


/*
 * 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)
{
	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;
        }

	$ibu = 0;
	if (($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 * $pfactor * 10) / 10.0);
	}
	if ($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 + $sgfactor)));
	}
	if ($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 + $sgfactor));
	}
	if ($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);
	}
	/* TODO: Noonan and Mosher */

	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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