growthmethods.js

/**
 * Created by SimonChapman, eatyourpeas on 04/01/15.
 */
 ////////////////////////////////////////
 /*

PLEASE NOTE THAT THE WHO-UK DATA HERE IS LICENSED TO THE MRC AND SHOULD NOT BE USED WITHOUT THEIR SPECIFIC PERMISSION


 */
var ztable = require('ztable');
var moment = require("moment");
require("moment-duration-format");
moment().format();



///this is the reference data

    bp_decimalAges = [4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0, 7.5, 8.0, 8.5, 9.0, 9.5, 10.0, 10.5, 11.0, 11.5, 12.0, 12.5, 13.0, 13.5, 14.0, 14.5, 15.0, 15.5, 16.0, 16.5, 17.0, 17.5, 18.0, 18.5, 19.0, 19.5, 20.0, 20.5, 21.0, 21.5, 22.0, 22.5, 23.0, 23.5, 24.0];
    boysBPSystolicL = [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5];
    boysBPSystolicM = [102.1, 102.6, 103.2, 103.7, 104.3, 104.8, 105.4, 105.9, 106.4, 106.9, 107.5, 108.0, 108.6, 109.3, 110.0, 110.8, 111.7, 112.7, 113.9, 115.2, 116.6, 118.0, 119.4, 120.8, 122.1, 123.3, 124.5, 125.5, 126.4, 127.2, 127.9, 128.5, 129.0, 129.4, 129.8, 130.1, 130.4, 130.7, 130.9, 131.2, 131.4];
    boysBPSystolicS = [0.083, 0.083, 0.083, 0.083, 0.083, 0.083, 0.083, 0.084, 0.084, 0.084, 0.084, 0.084, 0.084, 0.084, 0.084, 0.084, 0.085, 0.085, 0.085, 0.085, 0.085, 0.086, 0.086, 0.086, 0.086, 0.087, 0.087, 0.087, 0.087, 0.087, 0.087, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088];
    boysBPDiastolicL = [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5];
    boysBPDiastolicM = [54.6, 54.7, 54.9, 55.0, 55.2, 55.4, 55.5, 55.7, 55.9, 56.0, 56.1, 56.2, 56.3, 56.3, 56.3, 56.3, 56.3, 56.4, 56.4, 56.4, 56.4, 56.5, 56.6, 56.8, 57.0, 57.4, 57.9, 58.6, 59.4, 60.3, 61.1, 61.9, 62.6, 63.2, 63.8, 64.4, 64.8, 65.2, 65.4, 65.6, 65.8];
    boysBPDiastolicS = [0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145, 0.145];
    girlsBPSystolicL = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0];
    girlsBPSystolicM = [101.0, 101.7, 102.5, 103.2, 103.9, 104.7, 105.4, 106.1, 106.8, 107.5, 108.3, 109.0, 109.7, 110.4, 111.2, 111.8, 112.5, 113.2, 113.8, 114.4, 115.0, 115.5, 116.0, 116.5, 117.0, 117.5, 117.9, 118.2, 118.6, 118.9, 119.1, 119.4, 119.6, 119.8, 120.0, 120.2, 120.4, 120.6, 120.8, 121.0, 121.2];
    girlsBPSystolicS = [0.087, 0.087, 0.087, 0.087, 0.087, 0.087, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.088, 0.089, 0.089, 0.089, 0.089, 0.089, 0.089, 0.089, 0.089, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.090, 0.091, 0.091, 0.091, 0.091, 0.091, 0.091, 0.091];
    girlsBPDiastolicL = [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5];
    girlsBPDiastolicM = [55.0, 55.2, 55.3, 55.5, 55.7, 55.9, 56.1, 56.3, 56.4, 56.6, 56.7, 56.8, 56.9, 57.0, 57.0, 57.0, 57.1, 57.2, 57.3, 57.4, 57.6, 57.9, 58.2, 58.7, 59.2, 59.7, 60.2, 60.7, 61.1, 61.6, 62.0, 62.4, 62.8, 63.2, 63.6, 63.9, 64.3, 64.7, 65.0, 65.4, 65.7];
    girlsBPDiastolicS = [0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140, 0.140];
    decimalAges = [-0.325804244, -0.306639288, -0.287474333, -0.268309377, -0.249144422, -0.229979466, -0.210814511, -0.191649555, -0.1724846, -0.153319644, -0.134154689, -0.114989733, -0.095824778, -0.076659822, -0.057494867, -0.038329911, -0.019164956, 0.0, 0.019164956, 0.038329911, 0.038329911, 0.057494867, 0.076659822, 0.083333333, 0.095824778, 0.114989733, 0.134154689, 0.153319644, 0.166666667, 0.1724846, 0.191649555, 0.210814511, 0.229979466, 0.249144422, 0.25, 0.333333333, 0.416666667, 0.5, 0.583333333, 0.666666667, 0.75, 0.833333333, 0.916666667, 1.0, 1.083333333, 1.166666667, 1.25, 1.333333333, 1.416666667, 1.5, 1.583333333, 1.666666667, 1.75, 1.833333333, 1.916666667, 2.0, 2.0, 2.083333333, 2.166666667, 2.25, 2.333333333, 2.416666667, 2.5, 2.583333333, 2.666666667, 2.75, 2.833333333, 2.916666667, 3.0, 3.083333333, 3.166666667, 3.25, 3.333333333, 3.416666667, 3.5, 3.583333333, 3.666666667, 3.75, 3.833333333, 3.916666667, 4.0, 4.0, 4.083, 4.167, 4.25, 4.333, 4.417, 4.5, 4.583, 4.667, 4.75, 4.833, 4.917, 5.0, 5.083, 5.167, 5.25, 5.333, 5.417, 5.5, 5.583, 5.667, 5.75, 5.833, 5.917, 6.0, 6.083, 6.167, 6.25, 6.333, 6.417, 6.5, 6.583, 6.667, 6.75, 6.833, 6.917, 7.0, 7.083, 7.167, 7.25, 7.333, 7.417, 7.5, 7.583, 7.667, 7.75, 7.833, 7.917, 8.0, 8.083, 8.167, 8.25, 8.333, 8.417, 8.5, 8.583, 8.667, 8.75, 8.833, 8.917, 9.0, 9.083, 9.167, 9.25, 9.333, 9.417, 9.5, 9.583, 9.667, 9.75, 9.833, 9.917, 10.0, 10.083, 10.167, 10.25, 10.333, 10.417, 10.5, 10.583, 10.667, 10.75, 10.833, 10.917, 11.0, 11.083, 11.167, 11.25, 11.333, 11.417, 11.5, 11.583, 11.667, 11.75, 11.833, 11.917, 12.0, 12.083, 12.167, 12.25, 12.333, 12.417, 12.5, 12.583, 12.667, 12.75, 12.833, 12.917, 13.0, 13.083, 13.167, 13.25, 13.333, 13.417, 13.5, 13.583, 13.667, 13.75, 13.833, 13.917, 14.0, 14.083, 14.167, 14.25, 14.333, 14.417, 14.5, 14.583, 14.667, 14.75, 14.833, 14.917, 15.0, 15.083, 15.167, 15.25, 15.333, 15.417, 15.5, 15.583, 15.667, 15.75, 15.833, 15.917, 16.0, 16.083, 16.167, 16.25, 16.333, 16.417, 16.5, 16.583, 16.667, 16.75, 16.833, 16.917, 17.0, 17.083, 17.167, 17.25, 17.333, 17.417, 17.5, 17.583, 17.667, 17.75, 17.833, 17.917, 18.0, 18.083, 18.167, 18.25, 18.333, 18.417, 18.5, 18.583, 18.667, 18.75, 18.833, 18.917, 19.0, 19.083, 19.167, 19.25, 19.333, 19.417, 19.5, 19.583, 19.667, 19.75, 19.833, 19.917, 20.0];
    boysHeightL = [0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0];
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     girlsBMIM = [0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 13.4501, 13.9505, 14.4208, 14.5679, 14.8157, 15.138, 15.4063, 15.6311, 15.7679, 15.8232, 15.9874, 16.1277, 16.2485, 16.3531, 16.3574, 16.6703, 16.8386, 16.9083, 16.902, 16.8404, 16.7406, 16.6184, 16.4875, 16.3568, 16.2311, 16.1128, 16.0028, 15.9017, 15.8096, 15.7263, 15.6517, 15.5855, 15.5278, 15.4787, 15.438, 15.4052, 15.6881, 15.659, 15.6308, 15.6037, 15.5777, 15.5523, 15.5276, 15.5034, 15.4798, 15.4572, 15.4356, 15.4155, 15.3968, 15.3796, 15.3638, 15.3493, 15.3358, 15.3233, 15.3116, 15.3007, 15.2905, 15.2814, 15.2732, 15.2661, 15.2602, 15.656, 15.639, 15.622, 15.605, 15.589, 15.573, 15.557, 15.542, 15.528, 15.515, 15.503, 15.492, 15.483, 15.475, 15.468, 15.463, 15.46, 15.457, 15.457, 15.458, 15.461, 15.465, 15.47, 15.477, 15.485, 15.494, 15.506, 15.517, 15.53, 15.544, 15.56, 15.577, 15.596, 15.614, 15.635, 15.656, 15.677, 15.7, 15.723, 15.748, 15.772, 15.798, 15.824, 15.85, 15.877, 15.905, 15.934, 15.963, 15.993, 16.022, 16.054, 16.085, 16.118, 16.15, 16.184, 16.218, 16.253, 16.288, 16.324, 16.361, 16.399, 16.437, 16.475, 16.515, 16.555, 16.596, 16.637, 16.679, 16.722, 16.765, 16.809, 16.853, 16.898, 16.943, 16.99, 17.036, 17.083, 17.131, 17.179, 17.227, 17.277, 17.327, 17.377, 17.427, 17.478, 17.53, 17.581, 17.634, 17.687, 17.739, 17.793, 17.846, 17.9, 17.954, 18.008, 18.062, 18.117, 18.172, 18.227, 18.281, 18.337, 18.391, 18.446, 18.5, 18.555, 18.61, 18.664, 18.718, 18.772, 18.825, 18.88, 18.932, 18.985, 19.038, 19.09, 19.142, 19.194, 19.244, 19.295, 19.345, 19.395, 19.445, 19.493, 19.542, 19.589, 19.637, 19.684, 19.73, 19.776, 19.822, 19.866, 19.911, 19.955, 19.998, 20.041, 20.083, 20.124, 20.166, 20.206, 20.246, 20.285, 20.324, 20.363, 20.401, 20.438, 20.475, 20.511, 20.547, 20.582, 20.617, 20.652, 20.685, 20.718, 20.751, 20.783, 20.816, 20.847, 20.878, 20.908, 20.938, 20.968, 20.997, 21.026, 21.054, 21.082, 21.11, 21.137, 21.164, 21.19, 21.216, 21.242, 21.267, 21.293, 21.317, 21.342, 21.366, 21.39, 21.413, 21.436, 21.459, 21.482, 21.504, 21.527, 21.548, 21.57, 21.591, 21.612, 21.633, 21.653, 21.674, 21.695, 21.715, 21.735];
     girlsBMIS = [0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.09741, 0.09647, 0.09577, 0.09556, 0.0952, 0.09472, 0.09431, 0.09394, 0.09371, 0.09361, 0.09332, 0.09304, 0.09279, 0.09255, 0.09254, 0.09166, 0.09096, 0.09036, 0.08984, 0.08939, 0.08898, 0.08861, 0.08828, 0.08797, 0.08768, 0.08741, 0.08716, 0.08693, 0.08671, 0.0865, 0.0863, 0.08612, 0.08594, 0.08577, 0.0856, 0.08545, 0.08454, 0.08452, 0.08449, 0.08446, 0.08444, 0.08443, 0.08444, 0.08448, 0.08455, 0.08467, 0.08484, 0.08506, 0.08535, 0.08569, 0.08609, 0.08654, 0.08704, 0.08757, 0.08813, 0.08872, 0.08931, 0.08991, 0.09051, 0.0911, 0.09168, 0.08728, 0.0877, 0.08814, 0.0886, 0.08906, 0.08954, 0.09004, 0.09054, 0.09106, 0.0916, 0.09214, 0.0927, 0.09326, 0.09384, 0.09443, 0.09503, 0.09563, 0.09624, 0.09686, 0.09749, 0.09812, 0.09875, 0.0994, 0.10004, 0.10069, 0.10135, 0.102, 0.10266, 0.10332, 0.10397, 0.10463, 0.10529, 0.10595, 0.1066, 0.10725, 0.10789, 0.10854, 0.10918, 0.10981, 0.11044, 0.11106, 0.11167, 0.11228, 0.11288, 0.11346, 0.11404, 0.11461, 0.11517, 0.11572, 0.11625, 0.11679, 0.1173, 0.1178, 0.1183, 0.11879, 0.11926, 0.11972, 0.12017, 0.1206, 0.12103, 0.12144, 0.12185, 0.12223, 0.12261, 0.12298, 0.12333, 0.12367, 0.124, 0.12432, 0.12462, 0.12492, 0.1252, 0.12547, 0.12573, 0.12598, 0.12622, 0.12644, 0.12666, 0.12687, 0.12706, 0.12725, 0.12742, 0.12759, 0.12774, 0.12789, 0.12803, 0.12816, 0.12827, 0.12838, 0.12849, 0.12858, 0.12866, 0.12875, 0.12882, 0.12888, 0.12894, 0.12899, 0.12903, 0.12907, 0.1291, 0.12913, 0.12915, 0.12917, 0.12918, 0.12918, 0.12919, 0.12919, 0.12918, 0.12917, 0.12916, 0.12914, 0.12913, 0.1291, 0.12908, 0.12905, 0.12902, 0.12899, 0.12895, 0.12892, 0.12888, 0.12884, 0.12879, 0.12875, 0.1287, 0.12866, 0.12861, 0.12856, 0.12851, 0.12846, 0.1284, 0.12835, 0.1283, 0.12824, 0.12819, 0.12813, 0.12807, 0.12802, 0.12796, 0.1279, 0.12785, 0.12779, 0.12773, 0.12768, 0.12762, 0.12757, 0.12751, 0.12745, 0.1274, 0.12734, 0.12729, 0.12723, 0.12718, 0.12712, 0.12707, 0.12702, 0.12696, 0.12691, 0.12686, 0.12681, 0.12676, 0.12671, 0.12666, 0.1266, 0.12656, 0.1265, 0.12646, 0.12641, 0.12636, 0.12631, 0.12627, 0.12622, 0.12617, 0.12613, 0.12608, 0.12604, 0.126, 0.12595, 0.12591, 0.12587, 0.12582, 0.12578, 0.12574, 0.1257, 0.12566, 0.12561, 0.12558, 0.12554, 0.1255, 0.12546, 0.12542, 0.12538, 0.12534, 0.1253];
/*
     // The Fourth Report on the Diagnosis, Evaluation, and Treatment of High Blood Pressure in Children and Adolescents,
     // PEDIATRICS Vol. 114 No. Supplement 2 August 1, 2004 pp. 555-576
     1yr50thBoys = [80, 81  83, 85, 87, 88, 89, 34, 35, 36, 37, 38, 39, 39];
     1yr90thBoys = [94, 95, 97, 99, 100, 102, 103, 49, 50, 51, 52, 53, 53, 54];
     1yr95thBoys = [98, 99, 101, 103, 104, 106, 106, 54, 54, 55, 56, 57, 58, 58];
     1yr99thBoys = [105, 106, 108, 110, 112, 113, 114, 61, 62, 63, 64, 65, 66, 66];
     2yr50thBoys = [84, 85, 87, 88, 90, 92, 92, 39, 40, 41, 42, 43, 44, 44];
     2yr90thBoys = [97, 99, 100, 102, 104, 105, 106, 54, 55, 56, 57, 58, 58, 59];
     2yr95thBoys = [101, 102, 104, 106, 108, 109, 110, 59, 59, 60, 61, 62, 63, 63];
     2yr99thBoys = [109, 110, 111, 113, 115, 117, 117, 66, 67, 68, 69, 70, 71, 71];

     3yr50thBoys = [86, 87, 89, 91, 93, 94, 95, 44, 44, 45, 46, 47, 48, 48];
     3yr90thBoys = [100, 101, 103, 105, 107, 108, 109, 59, 59, 60, 61, 62, 63, 63];
     3yr95thBoys = [104, 105, 107, 109, 110, 112, 113, 63, 63, 64, 65, 66, 67, 67];
     3yr99thBoys = [111, 112, 114, 116, 118, 119, 120, 71, 71, 72, 73, 74, 75, 75];

     4yr50thBoys = [88, 89, 91, 93, 95, 96, 97, 47, 48, 49, 50, 51, 51, 52];
     4yr90thBoys = [102, 103, 105, 107, 109, 110, 111, 62, 63, 64, 65, 66, 66, 67];
     4yr95thBoys = [106, 107, 109, 111, 112, 114, 115, 66, 67, 68, 69, 70, 71, 71];
     4yr99thBoys = [113, 114, 116, 118, 120, 121, 122, 74, 75, 76, 77, 78, 78, 79];

     5yr50thBoys = [90, 91, 93, 95, 96, 98, 98, 50, 51, 52, 53, 54, 55, 55];
     5yr90thBoys = [104, 105, 106, 108, 110, 111, 112, 65, 66, 67, 68, 69, 69, 70];
     5yr95thBoys = [108, 109, 110, 112, 114, 115, 116, 69, 70, 71, 72, 73, 74, 74];
     5yr99thBoys = [115, 116, 118, 120, 121, 123, 123, 77, 78, 79, 80, 81, 81, 82];

     6yr50thBoys = [91, 92, 94, 96, 98, 99, 100, 53, 53, 54, 55, 56, 57, 57];
     6yr90thBoys = [105, 106, 108, 110, 111, 113, 113, 68, 68, 69, 70, 71, 72, 72];
     6yr95thBoys = [109, 110, 112, 114, 115, 117, 117, 72, 72, 73, 74, 75, 76, 76];
     6yr99thBoys = [116, 117, 119, 121, 123, 124, 125, 80, 80, 81, 82, 83, 84, 84];

     7yr50thBoys = [92, 94, 95, 97, 99, 100, 101, 55, 55, 56, 57, 58, 59, 59];
     7yr90thBoys = [106, 107, 109, 111, 113, 114, 115, 70, 70, 71, 72, 73, 74, 74];
     7yr95thBoys = [110, 111, 113, 115, 117, 118, 119, 74, 74, 75, 76, 77, 78, 78];
     7yr99thBoys = [117, 118, 120, 122, 124, 125, 126, 82, 82, 83, 84, 85, 86, 86];

     8yr50thBoys = [94, 95, 97, 99, 100, 102, 102, 56, 57, 58, 59, 60, 60, 61];
     8yr90thBoys = [107, 109, 110, 112, 114, 115, 116, 71, 72, 72, 73, 74, 75, 76];
     8yr95thBoys = [111, 112, 114, 116, 118, 119, 120, 75, 76, 77, 78, 79, 79, 80];
     8yr99thBoys = [119, 120, 122, 123, 125, 127, 127, 83, 84, 85, 86, 87, 87, 88];

     9yr50thBoys = [95, 96, 98, 100, 102, 103, 104, 57, 58, 59, 60, 61, 61, 62];
     9yr90thBoys = [109, 110, 112, 114, 115, 117, 118, 72, 73, 74, 75, 76, 76, 77];
     9yr95thBoys = [113, 114, 116, 118, 119, 121, 121, 76, 77, 78, 79, 80, 81, 81];
     9yr99thBoys = [120, 121, 123, 125, 127, 128, 129, 84, 85, 86, 87, 88, 88, 89];

     10yr50thBoys = [97, 98, 100, 102, 103, 105, 106, 58, 59, 60, 61, 61, 62, 63];
     10yr90thBoys = [111, 112, 114, 115, 117, 119, 119, 73, 73, 74, 75, 76, 77, 78];
     10yr95thBoys = [115, 116, 117, 119, 121, 122, 123, 77, 78, 79, 80, 81, 81, 82];
     10yr99thBoys = [122, 123, 125, 127, 128, 130, 130, 85, 86, 86, 88, 88, 89, 90];

     11yr50thBoys = [99, 100, 102, 104, 105, 107, 107, 59, 59, 60, 61, 62, 63, 63];
     11yr90thBoys = [113, 114, 115, 117, 119, 120, 121, 74, 74, 75, 76, 77, 78, 78];
     11yr95thBoys = [117, 118, 119, 121, 123, 124, 125, 78, 78, 79, 80, 81, 82, 82];
     11yr99thBoys = [124, 125, 127, 129, 130, 132, 132, 86, 86, 87, 88, 89, 90, 90];

     12yr50thBoys = [101, 102, 104, 106, 108, 109, 110, 59, 60, 61, 62, 63, 63, 64];
     12yr90thBoys = [115, 116, 118, 120, 121, 123, 123, 74, 75, 75, 76, 77, 78, 79];
     12yr95thBoys = [119, 120, 122, 123, 125, 127, 127, 78, 79, 80, 81, 82, 82, 83];
     12yr99thBoys = [126, 127, 129, 131, 133, 134, 135, 86, 87, 88, 89, 90, 90, 91];

     13yr50thBoys = [104, 105, 106, 108, 110, 111, 112, 60, 60, 61, 62, 63, 64, 64];
     13yr90thBoys = {117, 118, 120, 122, 124, 125, 126, 75, 75, 76, 77, 78, 79, 79];
     13yr95thBoys = [121, 122, 124, 126, 128, 129, 130, 79, 79, 80, 81, 82, 83, 83];
     13yr99thBoys = [128, 130, 131, 133, 135, 136, 137, 87, 87, 88, 89, 90, 91, 91];

     14yr50thBoys = [106, 107, 109, 111, 113, 114, 115, 60, 61, 62, 63, 64, 65, 65];
     14yr90thBoys = [120, 121, 123, 125, 126, 128, 128, 75, 76, 77, 78, 79, 79, 80];
     14yr95thBoys = [124, 125, 127, 128, 130, 132, 132, 80, 80, 81, 82, 83, 84, 84];
     14yr99thBoys = [131, 132, 134, 136, 138, 139, 140, 87, 88, 89, 90, 91, 92, 92];

     15yr50thBoys = [109, 110, 112, 113, 115, 117, 117, 61, 62, 63, 64, 65, 66, 66];
     15yr90thBoys = [122, 124, 125, 127, 129, 130, 131, 76, 77, 78, 79, 80, 80, 81];
     15yr95thBoys = [126, 127, 129, 131, 133, 134, 135, 81, 81, 82, 83, 84, 85, 85];
     15yr99thBoys = [134, 135, 136, 138, 140, 142, 142, 88, 89, 90, 91, 92, 93, 93];

     16yr50thBoys = [111, 112, 114, 116, 118, 119, 120, 63, 63, 64, 65, 66, 67, 67];
     16yr90thBoys = [125, 126, 128, 130, 131, 133, 134, 78, 78, 79, 80, 81, 82, 82];
     16yr95thBoys = [129, 130, 132, 134, 135, 137, 137, 82, 83, 83, 84, 85, 86, 87];
     16yr99thBoys = [136, 137, 139, 141, 143, 144, 145, 90, 90, 91, 92, 93, 94, 94];

     17yr50thBoys = [114, 115, 116, 118, 120, 121, 122, 65, 66, 66, 67, 68, 69, 70];
     17yr90thBoys = [127, 128, 130, 132, 134, 135, 136, 80, 80, 81, 82, 83, 84, 84];
     17yr95thBoys = [131, 132, 134, 136, 138, 139, 140, 84, 85, 86, 87, 87, 88, 89];
     17yr99thBoys = [139, 140, 141, 143, 145, 146, 147, 92, 93, 93, 94, 95, 96, 97];

     /// GIRLS DATA

     1yr50thGirls = [83, 84, 85, 86, 88, 89, 90, 38, 39, 39, 40, 41, 41, 42];
     1yr90thGirls = [97, 97, 98, 100, 101, 102, 103, 52, 53, 53, 54, 55, 55, 56];
     1yr95thGirls = [100, 101, 102, 104, 105, 106, 107, 56, 57, 57, 58, 59, 59, 60];
     1yr99thGirls = [108, 108, 109, 111, 112, 113, 114, 64, 64, 65, 65, 66, 67, 67];

     2yr50thGirls = [85, 85, 87, 88, 89, 91, 91, 43, 44, 44, 45, 46, 46, 47];
      2yr90thGirls = [98, 99, 100, 101, 103, 104, 105, 57, 58, 58, 59, 60, 61, 61];
      2yr95thGirls = [102, 103, 104, 105, 107, 108, 109, 61, 62, 62, 63, 64, 65, 65];
      2yr99thGirls = [109, 110, 111, 112, 114, 115, 116, 69, 69, 70, 70, 71, 72, 72];

      3yr50thGirls = [86, 87, 88, 89, 91, 92, 93, 47, 48, 48, 49, 50, 50, 51];
      3yr90thGirls = [100, 100, 102, 103, 104, 106, 106, 61, 62, 62, 63, 64, 64, 65];
      3yr95thGirls = [104, 104, 105, 107, 108, 109, 110, 65, 66, 66, 67, 68, 68, 69];
      3yr99thGirls = [111, 111, 113, 114, 115, 116, 117, 73, 73, 74, 74, 75, 76, 76];

      4yr50thGirls = [88, 88, 90, 91, 92, 94, 94, 50, 50, 51, 52, 52, 53, 54];
      4yr90thGirls = [101, 102, 103, 104, 106, 107, 108, 64, 64, 65, 66, 67, 67, 68];
      4yr95thGirls = [105, 106, 107, 108, 110, 111, 112, 68, 68, 69, 70, 71, 71, 72];
      4yr99thGirls = [112, 113, 114, 115, 117, 118, 119, 76, 76, 76, 77, 78, 79, 79];

      5yr50thGirls = [89, 90, 91, 93, 94, 95, 96, 52, 53, 53, 54, 55, 55, 56];
      5yr90thGirls = [103, 103, 105, 106, 107, 109, 109, 66, 67, 67, 68, 69, 69, 70];
      5yr95thGirls = [107, 107, 108, 110, 111, 112, 113, 70, 71, 71, 72, 73, 73, 74];
      5yr99thGirls = [114, 114, 116, 117, 118, 120, 120, 78, 78, 79, 79, 80, 81, 81];

      6yr50thGirls = [91, 92, 93, 94, 96, 97, 98, 54, 54, 55, 56, 56, 57, 58];
      6yr90thGirls = [104, 105, 106, 108, 109, 110, 111, 68, 68, 69, 70, 70, 71, 72];
      6yr95thGirls = [108, 109, 110, 111, 113, 114, 115, 72, 72, 73, 74, 74, 75, 76];
      6yr99thGirls = [115, 116, 117, 119, 120, 121, 122, 80, 80, 80, 81, 82, 83, 83];

      7yr50thGirls = [93, 93, 95, 96, 97, 99, 99, 55, 56, 56, 57, 58, 58, 59];
      7yr90thGirls = [106, 107, 108, 109, 111, 112, 113, 69, 70, 70, 71, 72, 72, 73];
      7yr95thGirls = [110, 111, 112, 113, 115, 116, 116, 73, 74, 74, 75, 76, 76, 77];
      7yr99thGirls = [117, 118, 119, 120, 122, 123, 124, 81, 81, 82, 82, 83, 84, 84];

      8yr50thGirls = [95, 95, 96, 98, 99, 100, 101, 57, 57, 57, 58, 59, 60, 60];
      8yr90thGirls = [108, 109, 110, 111, 113, 114, 114, 71, 71, 71, 72, 73, 74, 74];
      8yr95thGirls = [112, 112, 114, 115, 116, 118, 118, 75, 75, 75, 76, 77, 78, 78];
      8yr99thGirls = [119, 120, 121, 122, 123, 125, 125, 82, 82, 83, 83, 84, 85, 86];

      9yr50thGirls = [96, 97, 98, 100, 101, 102, 103, 58, 58, 58, 59, 60, 61, 61];
      9yr90thGirls = [110, 110, 112, 113, 114, 116, 116, 72, 72, 72, 73, 74, 75, 75];
      9yr95thGirls = [114, 114, 115, 117, 118, 119, 120, 76, 76, 76, 77, 78, 79, 79];
      9yr99thGirls = [121, 121, 123, 124, 125, 127, 127, 83, 83, 84, 84, 85, 86, 87];

      10yr50thGirls = [98, 99, 100, 102, 103, 104, 105, 59, 59, 59, 60, 61, 62, 62];
      10yr90thGirls = [112, 112, 114, 115, 116, 118, 118, 73, 73, 73, 74, 75, 76, 76];
      10yr95thGirls = [116, 116, 117, 119, 120, 121, 122, 77, 77, 77, 78, 79, 80, 80];
      10yr99thGirls = [123, 123, 125, 126, 127, 129, 129, 84, 84, 85, 86, 86, 87, 88];

      11yr50thGirls = [100, 101, 102, 103, 105, 106, 107, 60, 60, 60, 61, 62, 63, 63];
      11yr90thGirls = [114, 114, 116, 117, 118, 119, 120, 74, 74, 74, 75, 76, 77, 77];
      11yr95thGirls = [118, 118, 119, 121, 122, 123, 124, 78, 78, 78, 79, 80, 81, 81];
      11yr99thGirls = [125, 125, 126, 128, 129, 130, 131, 85, 85, 86, 87, 87, 88, 89];

      12yr50thGirls = [102, 103, 104, 105, 107, 108, 109, 61, 61, 61, 62, 63, 64, 64];
      12yr90thGirls = [116, 116, 117, 119, 120, 121, 122, 75, 75, 75, 76, 77, 78, 78];
      12yr95thGirls = [119, 120, 121, 123, 124, 125, 126, 79, 79, 79, 80, 81, 82, 82];
      12yr99thGirls = [127, 127, 128, 130, 131, 132, 133, 86, 86, 87, 88, 88, 89, 90];

      13yr50thGirls = [104, 105, 106, 107, 109, 110, 110, 62, 62, 62, 63, 64, 65, 65];
      13yr90thGirls = [117, 118, 119, 121, 122, 123, 124, 76, 76, 76, 77, 78, 79, 79];
      13yr95thGirls = [121, 122, 123, 124, 126, 127, 128, 80, 80, 80, 81, 82, 83, 83];
      13yr99thGirls = [128, 129, 130, 132, 133, 134, 135, 87, 87, 88, 89, 89, 90, 91];

      14yr50thGirls = [106, 106, 107, 109, 110, 111, 112, 63, 63, 63, 64, 65, 66, 66];
      14yr90thGirls = [119, 120, 121, 122, 124, 125, 125, 77, 77, 77, 78, 79, 80, 80];
      14yr95thGirls = [123, 123, 125, 126, 127, 129, 129, 81, 81, 81, 82, 83, 84, 84];
      14yr99thGirls = [130, 131, 132, 133, 135, 136, 136, 88, 88, 89, 90, 90, 91, 92];

      15yr50thGirls = [107, 108, 109, 110, 111, 113, 113, 64, 64, 64, 65, 66, 67, 67];
      15yr90thGirls = [120, 121, 122, 123, 125, 126, 127, 78, 78, 78, 79, 80, 81, 81];
      15yr95thGirls = [124, 125, 126, 127, 129, 130, 131, 82, 82, 82, 83, 84, 85, 85];
      15yr99thGirls = [131, 132, 133, 134, 136, 137, 138, 89, 89, 90, 91, 91, 92, 93];

      16yr50thGirls = [108, 108, 110, 111, 112, 114, 114, 64, 64, 65, 66, 66, 67, 68];
      16yr90thGirls = [121, 122, 123, 124, 126, 127, 128, 78, 78, 79, 80, 81, 81, 82];
      16yr95thGirls = [125, 126, 127, 128, 130, 131, 132, 82, 82, 83, 84, 85, 85, 86];
      16yr99thGirls = [132, 133, 134, 135, 137, 138, 139, 90, 90, 90, 91, 92, 93, 93];

      17yr50thGirls = [108, 109, 110, 111, 113, 114, 115, 64, 65, 65, 66, 67, 67, 68];
      17yr90thGirls = [122, 122, 123, 125, 126, 127, 128, 78, 79, 79, 80, 81, 81, 82];
      17yr95thGirls = [125, 126, 127, 129, 130, 131, 132, 82, 83, 83, 84, 85, 85, 86];
      17yr99thGirls = [133, 133, 134, 136, 137, 138, 139, 90, 90, 91, 91, 92, 93, 93];

      heightCentiles = ["5th", "10th", "25th", "50th", "75th", "90th", "95th", "5th", "10th", "25th", "50th", "75th", "90th", "95th"];
*/


///these are the public methods

exports.decimalAgeFromDates = function(dateOfBirth, clinicDate){

    decimalAgeToReturn = 0.0;
    numberOfDays = 0;

    //check the dates are in order
    var myDoB = moment(dateOfBirth).startOf('day');
    var myClinic = moment(clinicDate).startOf('day');

    if(myDoB.isAfter(myClinic)){
        //the date of birth is after the clinic date
        return 0;
    }


    numberOfDays = myClinic.diff(myDoB, 'days');

    decimalAgeToReturn = numberOfDays/365.25;

    return decimalAgeToReturn;
}


exports.chronologicalAgeFromDates = function(dateOfBirth, clinicDate){

    //check the dates are in order
    //check the dates are in order
    var myDoB = moment(dateOfBirth).startOf('day');
    var myClinic = moment(clinicDate).startOf('day');

    if(myDoB.isAfter(myClinic)){
        //the date of birth is after the clinic date
        return "";
    }

    var numberOfDays = myClinic.diff(myDoB, 'days');

    var chronologicalAgeToReturn = moment.duration(numberOfDays, "days").format("y [years], M [months], D [day(s)]");

    return chronologicalAgeToReturn;

}

exports.correctedDecimalAgeFromDatesAndGestation = function(dateOfBirth, clinicDate, gestationWeeks, gestationSupplementaryDays){

  var termPregnancyInDays = 40 * 7;
  var lengthOfCurrentPregnancyInDays = ((gestationWeeks*7)+gestationSupplementaryDays);
  var numberOfDaysPremature = termPregnancyInDays - lengthOfCurrentPregnancyInDays;


  var decimalAgeToReturn = 0.0;
  var numberOfDaysOldNow = 0.0;

  //check the dates are in order
  var myDoB = moment(dateOfBirth).startOf('day');
  var myClinic = moment(clinicDate).startOf('day');

  if(myDoB.isAfter(myClinic)){
      //the date of birth is after the clinic date
      return 0;
  }


  numberOfDaysOldNow = myClinic.diff(myDoB, 'days');

  var correctedAge = (numberOfDaysOldNow - numberOfDaysPremature)/365.25;
  return correctedAge;
}


exports.bmiFromHeightandWeight = function( height,  weight){
     bmi = weight/Math.pow(height/100, 2);
    return bmi;
}

exports.weightForBMI = function( height,  bMI){
     var returnWeight = 0.0;
    returnWeight = bMI*Math.pow(height/100, 2);
    return returnWeight;
}

exports.percentageMedianBMI = function( actualBMI,  decimalAge, isMale){
     var percentMedianBMI=0.0;

    var mArray = getMeasurementParameter("BMI", isMale, "M");
     var m = 0.0;

    ageMatched = thereIsADecimalAgeMatch(decimalAge);

    if (ageMatched){
        ageIndex = indexForMatchedDecimalAge(decimalAge);
        m = getMatchedLMorSParameter(mArray,ageIndex);
    }
    else{
        oneBelow = findAgeIndexOneBelow(decimalAge);
        if (canUseCubicInterpolation(oneBelow)){
            m = cubicInterpolation(actualBMI, decimalAge, oneBelow, mArray, decimalAges);
        }
        else {
            m = linearInterpolation(actualBMI, decimalAge, oneBelow, mArray, decimalAges);
        }
    }

    percentMedianBMI = (actualBMI/m)*100;

    return percentMedianBMI;
}

exports.SDS = function(measurement,  decimalAge,  actualMeasurement, isMale){
     z = 0.0;

     z= SDS(measurement, decimalAge, actualMeasurement, isMale);

    return z;
}

exports.convertZScoreToCentile = function ( z){
     var centile=0.0;

    centile = convertZScoreToCentile(z);

    return centile;
}

exports.bpSDS = function(isSystolic, isMale, decimaleAge, bp_measurement ){
  z = 0.0;

  //  REFERENCE DATA BEGINS AT 4 AND ENDS AT 24 - this is from the RCPCH BP data (Thalange et al.): it does not take height into account,
  // and is purely based on age and sex
  // select the LMS arrays

  var measurement = "";
  if (isSystolic) {
    measurement = "BPSystolic";
  } else {
    measurement = "BPDiastolic";
  }

  lArray = getMeasurementParameter(measurement, isMale, "L");
  mArray = getMeasurementParameter(measurement, isMale, "M");
  sArray = getMeasurementParameter(measurement, isMale, "S");

  var l, m, s = 0.0;

  var ageMatched = findBPDecimalAge(decimaleAge);

  if (ageMatched) {
    var index = indexForMatchedBPDecimalAge(decimaleAge);
    l = getMatchedLMorSParameter(lArray, index);
    m = getMatchedLMorSParameter(mArray, index);
    s = getMatchedLMorSParameter(sArray, index);
  } else {
    var oneBelow = findBPDecimalAgeIndexOneBelow(decimaleAge);

    if (canUseCubicInterpolationForBP(oneBelow)) {
      l = cubicInterpolation(bp_measurement, decimaleAge, oneBelow, lArray, bp_decimalAges);
      m = cubicInterpolation(bp_measurement, decimaleAge, oneBelow, mArray, bp_decimalAges);
      s = cubicInterpolation(bp_measurement, decimaleAge, oneBelow, sArray, bp_decimalAges);
    } else {
      l = linearInterpolation(bp_measurement, decimaleAge, oneBelow, lArray, bp_decimalAges);
      m = linearInterpolation(bp_measurement, decimaleAge, oneBelow, mArray, bp_decimalAges);
      s = linearInterpolation(bp_measurement, decimaleAge, oneBelow, sArray, bp_decimalAges);
    }
  }

   // put the l, m & s values into the equation

   z = calculateSDS(l, m, s, bp_measurement);

   return z;

}

exports.measurementFromSDS = function( measurement,  requestedMeasureSDS,  actualMeasurement,  isMale,  decimalAge, isBP ){

    var decimalAgeArrayToUse;
    if (isBP) {
      decimalAgeArrayToUse = bp_decimalAges;
    } else {
      decimalAgeArrayToUse = decimalAges;
    }

    var lms = getLMS(measurement, isMale, actualMeasurement, decimalAge, decimalAgeArrayToUse);

     var measurementValue = 0.0;

     var l, m, s;

    l = lms[0];
    m = lms[1];
    s = lms[2];


    //note 9th centile is -1.341

    if (l != 0.0){
        measurementValue = Math.pow((1+l*s*requestedMeasureSDS),1/l)*m;
    }

    else {
        measurementValue = Math.exp(s*requestedMeasureSDS)*m;
    }

    return measurementValue;


    /*
    X = M (1 + LSZ)**(1/L), L ≠ 0

        Or

    X = M exp(SZ), L = 0

     */
}

exports.BPZFromHeightSDSAndDecimalAgeAndSex = function (isSystolic, height_sds, bp_measurement, decimal_age, isMale){

    /// the regression coefficients and method is taken from
    // National High Blood Pressure Education Program Working Group on High Blood Pressure in Children and Adolescents,
    // (2004) The Fourth Report on the Diagnosis, Evaluation, and Treatment of High Blood Pressure in Children and Adolescents. Pediatrics, Vol. 114 No. Supplement 2 August 1, pp. 555-576.

    //convert child's age to an integer
    var age = Math.floor(decimal_age);

    /// Compute the expected SBP (µ) for children of same sex, age and height h inches given by equation:
    //          4                 4
    //  µ = α + Σ β[j] (y-10)^j + Σ γ[k] (Zht)^k
    //         j=1              k=1
    //____________________________________________________________________________________________________//

    // get height centile from decimal_age and height_measurement and sex (note this uses UK90 not CDC data)
  //  var Zht = SDS("height", decimal_age, height_measurement, isMale);
    var Zht = height_sds;
  //  var htCentile = convertZScoreToCentile(Zht);

    // look up alpha, beta[1-4], gamma[1-4] depending of whether value is diastolic or systolic and subject is male or female
    //j using regression coefficients from the Fourth reference data

    var alpha = 0.0;
    var beta = [];
    var gamma = [];
    var y = decimal_age;
    var mu = 0.0; //expected bp for age, sex and height
    var sigma = 0.0; //standard deviation

    if (isSystolic) {
      if (isMale) {
        alpha = 102.19768;
        beta[1] = 1.82416;
        beta[2] = 0.12776;
        beta[3] = 0.00249;
        beta[4] = -0.00135;
        gamma[1] = 2.73157;
        gamma[2] = -0.19618;
        gamma[3] = -0.04659;
        gamma[4] = 0.00947;
        sigma = 10.7128;
      } else {
        alpha = 102.01027;
        beta[1] = 1.94397;
        beta[2] = 0.00598;
        beta[3] = -0.00789;
        beta[4] = -0.00059;
        gamma[1] = 2.03526;
        gamma[2] = 0.02534;
        gamma[3] = -0.01884;
        gamma[4] = 0.00121;
        sigma = 10.4855;
      }
    } else { //these are diastolic values
      if (isMale) {
        alpha = 61.01217;
        beta[1] = 0.68314;
        beta[2] = -0.09835;
        beta[3] = 0.01711;
        beta[4] = 0.00045;
        gamma[1] = 1.46993;
        gamma[2] = -0.07849;
        gamma[3] = -0.03144;
        gamma[4] = 0.00967;
        sigma = 11.6032;
      } else {
        alpha = 60.50510;
        beta[1] = 1.01301;
        beta[2] = 0.01157;
        beta[3] = 0.00424;
        beta[4] = -0.00137;
        gamma[1] = 1.16641;
        gamma[2] = 0.12795;
        gamma[3] = -0.03869;
        gamma[4] = -0.00079;
        sigma = 10.9573;
      }
    }

    var betablock = 0.0;
    for (j = 1; j < 5; j++) {
      betablock += (beta[j]* Math.pow((y-10),j));
    }

    var gammablock = 0.0;
    for (k = 1; k < 5; k++) {
     gammablock += (gamma[k] * Math.pow(Zht,k));
    }

    mu = alpha + betablock + gammablock; //this is the expected blood pressure of a child the same age, height and sex

    /// compare actual bp with expected to calculate Z-Score(Zbp) using Zbp = (x – µ)/σ

    var Zbp = (bp_measurement - mu)/ sigma;

    //  convert the bp Z-score to a percentile (P), compute P = Φ (Zbp) x 100%
    //  where Φ (Z) = area under a standard normal distribution to the left of Z.

  //  var P = convertZScoreToCentile(Zbp);

  return Zbp; //here we are returning the bp z score
}


////////////// these are all the private methods to remain unexposed

function SDS(measurement,  decimalAge,  actualMeasurement, isMale){
     z = 0.0;

     lArray = getMeasurementParameter(measurement, isMale, "L");
     mArray = getMeasurementParameter(measurement, isMale, "M");
     sArray = getMeasurementParameter(measurement, isMale, "S");

     var l, m, s = 0.0;

    ageMatched = thereIsADecimalAgeMatch(decimalAge);

    if (ageMatched){
        ageIndex = indexForMatchedDecimalAge(decimalAge);
        l = getMatchedLMorSParameter(lArray,ageIndex);
        m = getMatchedLMorSParameter(mArray,ageIndex);
        s = getMatchedLMorSParameter(sArray,ageIndex);
    }
    else{
        oneBelow = findAgeIndexOneBelow(decimalAge);
        if (canUseCubicInterpolation(oneBelow)){
            l = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, lArray, decimalAges);
            m = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, mArray, decimalAges);
            s = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, sArray, decimalAges);
        }
        else {
            l = linearInterpolation(actualMeasurement, decimalAge, oneBelow, lArray, decimalAges);
            m = linearInterpolation(actualMeasurement, decimalAge, oneBelow, mArray, decimalAges);
            s = linearInterpolation(actualMeasurement, decimalAge, oneBelow, sArray, decimalAges);
        }
    }

    z = calculateSDS(l, m, s, actualMeasurement);

    return z;
}

function convertZScoreToCentile( z){
     var centile=0.0;
/*
    //z == number of standard deviations from the mean

    //if z is greater than 6.5 standard deviations from the mean
    //the number of significant digits will be outside of a reasonable
    //range
    if ( z < -6.5)
        return 0.0;
    if( z > 6.5)
        return 1.0;

    var factK = 1;
    var sum = 0.0;
    var term = 1.0;
    k = 0;
    var loopStop = Math.exp(-23);

        while (Math.abs(term) > loopStop) {
            term = .3989422804 * Math.pow(-1, k) * Math.pow(z, k) / (2 * k + 1) / Math.pow(2, k) * Math.pow(z, k + 1) / factK;
            sum += term;
            k++;
            factK *= k;

        }

    sum += 0.5;

    if(isNaN(sum)){
        sum = 0.0;
    }

    centile = sum * 100.0;
  */
    centile = ztable(z);
    return centile * 100;
}

function getMeasurementParameter(measurement, male, parameter){
    var arrayToReturn = [0];
    if (measurement=="weight"){
        if (male){
            if (parameter=="L"){
                arrayToReturn = boysWeightL;
            }
            if (parameter=="M"){
                arrayToReturn = boysWeightM;
            }
            if (parameter=="S"){
                arrayToReturn = boysWeightS;
            }
        }else{
            if (parameter=="L"){
                arrayToReturn = girlsWeightL;
            }
            if (parameter=="M"){
                arrayToReturn = girlsWeightM;
            }
            if (parameter=="S"){
                arrayToReturn = girlsWeightS;
            }
        }
    }
    else if(measurement=="height"){
        if (male){
            if (parameter=="L"){
                arrayToReturn = boysHeightL;
            }
            if (parameter=="M"){
                arrayToReturn = boysHeightM;
            }
            if (parameter=="S"){
                arrayToReturn = boysHeightS;
            }
        }else{
            if (parameter=="L"){
                arrayToReturn = girlsHeightL;
            }
            if (parameter=="M"){
                arrayToReturn = girlsHeightM;
            }
            if (parameter=="S"){
                arrayToReturn = girlsHeightS;
            }
        }
    }
    else if(measurement=="BMI"){
        if (male){
            if (parameter=="L"){
                arrayToReturn = boysBMIL;
            }
            if (parameter=="M"){
                arrayToReturn = boysBMIM;
            }
            if (parameter=="S"){
                arrayToReturn = boysBMIS;
            }
        }
        else {
            if (parameter=="L") {
                arrayToReturn = girlsBMIL;
            }
            if (parameter=="M") {
                arrayToReturn = girlsBMIM;
            }
            if (parameter=="S") {
                arrayToReturn = girlsBMIS;
            }
        }
    }
    else if(measurement=="BPSystolic"){
        if (male){
            if (parameter=="L"){
                arrayToReturn = boysBPSystolicL;
            }
            if (parameter=="M"){
                arrayToReturn = boysBPSystolicM;
            }
            if (parameter=="S"){
                arrayToReturn = boysBPSystolicS;
            }
        }
        else {
            if (parameter=="L") {
                arrayToReturn = girlsBPSystolicL;
            }
            if (parameter=="M") {
                arrayToReturn = girlsBPSystolicM;
            }
            if (parameter=="S") {
                arrayToReturn = girlsBPSystolicS;
            }
        }
    }
    else if(measurement=="BPDiastolic"){
        if (male){
            if (parameter=="L"){
                arrayToReturn = boysBPDiastolicL;
            }
            if (parameter=="M"){
                arrayToReturn = boysBPDiastolicM;
            }
            if (parameter=="S"){
                arrayToReturn = boysBPDiastolicS;
            }
        }
        else {
            if (parameter=="L") {
                arrayToReturn = girlsBPDiastolicL;
            }
            if (parameter=="M") {
                arrayToReturn = girlsBPDiastolicM;
            }
            if (parameter=="S") {
                arrayToReturn = girlsBPDiastolicS;
            }
        }
    }
    return arrayToReturn;
}

function getMatchedLMorSParameter( measurementArray, mDecimalAgeIndex){
     l = 0.0;
    l = measurementArray[mDecimalAgeIndex];
    return l;
}

function getInterpolatedLMorSParameter( measuredValue,  decimalAge, measurement, lowerAgeIndex,  canCubicInterpolate, decimalAgeArrayToUse){
    var interpolatedParameter = 0.0;
    if (canCubicInterpolate){
        interpolatedParameter = cubicInterpolation(measuredValue, decimalAge, lowerAgeIndex, measurement, decimalAgeArrayToUse);
    }
    else {
        interpolatedParameter = linearInterpolation(measuredValue, decimalAge, lowerAgeIndex, measurement, decimalAgeArrayToUse);
    }

    return interpolatedParameter;
}


function indexForMatchedDecimalAge( mDecimalAge){
    var mIndex = 0;
    if (mDecimalAge==0.0){
        mIndex = 17;
    }
    else if (mDecimalAge==2.0){
        mIndex = 56;
    }
    else if (mDecimalAge==4.0){
        mIndex = 81;
    }
    else if (mDecimalAge==20){
        mIndex = 273;
    }
    else {
        for (i = 0; i < decimalAges.length; i++) {
            var lookUpAge = decimalAges[i];
            if (lookUpAge < mDecimalAge) {
                mIndex = i;
            }
        }
    }
    return mIndex;
}



function thereIsADecimalAgeMatch( mDecimalAge){
    var matchFound = false;
        for (i=0; i<decimalAges.length; i++){
             var lookUpAge = decimalAges[i];
            if (lookUpAge == mDecimalAge){
                matchFound = true; //note that a match may occur more than once if age = 2 or 4 yrs
                break;
            }
        }
    return matchFound;
}

function findAgeIndexOneBelow( decimalAge){
    var index = 0;
    for (i=0; i<decimalAges.length; i++){
         lookUpAge = decimalAges[i];
        if (lookUpAge < decimalAge){
            index = i;
        }
    }
    return index;
}

function canUseCubicInterpolation(ageIndexBelow){
    var canUseCubicInterpolation = true;
    if (ageIndexBelow == 17 || ageIndexBelow == 54 || ageIndexBelow == 55 || ageIndexBelow == 56 || ageIndexBelow == 80 || ageIndexBelow == 81 || ageIndexBelow == 272){
        //this is age 0 (17) or lower age just under 2 (54) or lower age 2 (55) or upper age 2 (56) or lower 4(80) or upper 4 (81) or 20 (273)
        canUseCubicInterpolation = false;
        return canUseCubicInterpolation;
    }
    return canUseCubicInterpolation = true;
}

function canUseCubicInterpolationForBP(ageIndexBelow){
  var canUseCubicInterpolation;
  if (ageIndexBelow == 0 || ageIndexBelow == 39) {
    return canUseCubicInterpolation = false;
  } else {
    return canUseCubicInterpolation = true;
  }

}

function linearInterpolation( measuredValue,  decimalAge, ageIndexBelow, measurementArrayToUse, decimalAgeArrayToUse){
     var linearInterpolatedValue = 0.0;

     var valueBelow = measurementArrayToUse[ageIndexBelow];
     var valueAbove = measurementArrayToUse[ageIndexBelow+1];
     var ageBelow = decimalAgeArrayToUse[ageIndexBelow];
     var ageAbove = decimalAgeArrayToUse[ageIndexBelow+1];

    linearInterpolatedValue = valueBelow + (((decimalAge - ageBelow)*valueAbove-valueBelow))/(ageAbove-ageBelow);


    return linearInterpolatedValue;
}

function cubicInterpolation( measuredValue,  decimalAge, ageIndexBelow, measurementArrayToUse, decimalAgeArrayToUse){
     var cubicInterpolatedValue = 0.0;

     var t = 0.0; //actual age
     var tt0 = 0.0;
     var tt1 = 0.0;
     var tt2 = 0.0;
     var tt3 = 0.0;

     var t01 = 0.0;
     var t02 = 0.0;
     var t03 = 0.0;
     var t12 = 0.0;
     var t13 = 0.0;
     var t23 = 0.0;

     var ageTwoBelow = decimalAgeArrayToUse[ageIndexBelow-1];
     var ageOneBelow = decimalAgeArrayToUse[ageIndexBelow];
     var ageOneAbove = decimalAgeArrayToUse[ageIndexBelow+1];
     var ageTwoAbove = decimalAgeArrayToUse[ageIndexBelow+2];

     var measurementTwoBelow = measurementArrayToUse[ageIndexBelow-1];
     var measurementOneBelow = measurementArrayToUse[ageIndexBelow];
     var measurementOneAbove = measurementArrayToUse[ageIndexBelow+1];
     var measurementTwoAbove = measurementArrayToUse[ageIndexBelow+2];

    t = decimalAge;


    tt0 = decimalAge - ageTwoBelow;
    tt1 = decimalAge - ageOneBelow;
    tt2 = decimalAge - ageOneAbove;
    tt3 = decimalAge - ageTwoAbove;

    t01 = ageTwoBelow - ageOneBelow;
    t02 = ageTwoBelow - ageOneAbove;
    t03 = ageTwoBelow - ageTwoAbove;

    t12 = ageOneBelow - ageOneAbove;
    t13 = ageOneBelow - ageTwoAbove;
    t23 = ageOneAbove - ageTwoAbove;

    cubicInterpolatedValue = measurementTwoBelow * tt1 * tt2 * tt3 /t01 / t02 / t03 - measurementOneBelow * tt0 * tt2 * tt3 / t01 / t12 /t13 + measurementOneAbove * tt0 * tt1 * tt3 / t02/ t12 / t23 - measurementTwoAbove * tt0 * tt1 * tt2 / t03 / t13 / t23;

    return cubicInterpolatedValue;
}

function calculateSDS( myL,  myM,  myS,  myMeasurement){
    var SDS = 0.0;

    if (myL != 0.0){
        SDS = (((Math.pow((myMeasurement / myM), myL))-1)/(myL*myS));
    }

    else {
        SDS = (Math.log(myMeasurement / myM)/myS);
    }

    return SDS;
}

function getLMS( measurement,  isMale,  actualMeasurement,  decimalAge, decimalAgeArrayToUse){

     var lArray = getMeasurementParameter(measurement, isMale, "L");
     var mArray = getMeasurementParameter(measurement, isMale, "M");
     var sArray = getMeasurementParameter(measurement, isMale, "S");

     var l, m, s = 0.0;

    var ageMatched = thereIsADecimalAgeMatch(decimalAge);

    if (ageMatched){
        ageIndex = indexForMatchedDecimalAge(decimalAge);
        l = getMatchedLMorSParameter(lArray,ageIndex);
        m = getMatchedLMorSParameter(mArray,ageIndex);
        s = getMatchedLMorSParameter(sArray,ageIndex);
    }
    else{
        var oneBelow = findAgeIndexOneBelow(decimalAge);
        if (canUseCubicInterpolation(oneBelow)){
            l = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, lArray, decimalAgeArrayToUse);
            m = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, mArray, decimalAgeArrayToUse);
            s = cubicInterpolation(actualMeasurement, decimalAge, oneBelow, sArray, decimalAgeArrayToUse);
        }
        else {
            l = linearInterpolation(actualMeasurement, decimalAge, oneBelow, lArray, decimalAgeArrayToUse);
            m = linearInterpolation(actualMeasurement, decimalAge, oneBelow, mArray, decimalAgeArrayToUse);
            s = linearInterpolation(actualMeasurement, decimalAge, oneBelow, sArray, decimalAgeArrayToUse);
        }
    }

     var lms = [l,m,s];

    return lms;
}

/// these are the bp methods

function findBPDecimalAge(mDecimalAge){
    var exactMatch = false;
      for (i=0; i<bp_decimalAges.length; i++){
           var lookUpAge = bp_decimalAges[i];
          if (lookUpAge == mDecimalAge){
              exactMatch = true;
          }
      }
  return exactMatch;
}

function findBPDecimalAgeIndexOneBelow( decimalAge){
    var index = 0;
    for (i=0; i<bp_decimalAges.length; i++){
         lookUpAge = bp_decimalAges[i];
        if (lookUpAge < decimalAge){
            index = i;
        }
    }
    return index;
}

function indexForMatchedBPDecimalAge( mDecimalAge){
    var mIndex = 0;
    if (mDecimalAge==4.0){
        mIndex = 0;
    }
    else if (mDecimalAge==24){
        mIndex = 40;
    }
    else {
        for (i = 0; i < bp_decimalAges.length; i++) {
            var lookUpAge = bp_decimalAges[i];
            if (lookUpAge < mDecimalAge) {
                mIndex = i;
            }
        }
    }
    return mIndex;
}