import datetime import time import math from pylab import * # Brett Miller 9th October 2015. # This program reads Harmonics for Fort Denison as provided by BOM on the 9th October 2015 # # NOT FOR DISTRIBUTION # the predictions from this code have been cross checked against some daily predictions but # not against all. # USE AT YOUR OWN CAUTION. NO GAURENTEE MADE THAT THESE PREDICTIONS ARE CORRECT. # # The x-tide method for calculating tides is:- # z(t,y,site)= MWL(site) + sum[c=1,N](nodefactor(c,y).amp(c,site).cos( speed(c).t + eqarg(c,y) - kappa(c,site) )) # where # t is the time since the beginning of the year # y is the year # site is the site of interest # N is the number of consituents being included # nodefactor is an amplitude adjustment for each constituent for each year # eqarg is a phase adjustment for each site for each year # amp is the amplitude of each constituent for the site # kappa is the phase adjustment for each constituent for the site # # the harmonics included below in the python code were provided directly to WRL from BOM. harm = {} speed = 0 amp = 1 lag = 2 def readlinenocomm(F): l = F.readline() while l[0] == '#': l = F.readline() return l # H = open("HARMONIC", "r") l = readlinenocomm(H) numconstits = int(l) print("Number of Constituents = ", numconstits) # Read in the constituent speeds constitspeed = {} i = 0 while i < numconstits: l = readlinenocomm(H) ll = l.split() constitspeed[ll[0]] = float(ll[1]) i = i + 1 l = readlinenocomm(H) sy = int(l) l = readlinenocomm(H) numyears = int(l) # Read in the equalibrium arguements equalibrium_arg = {} i = 0 while i < numconstits: l = readlinenocomm(H) ll = l.split() constit = ll[0] v = [] j = 0 while j <= numyears / 10: l = readlinenocomm(H) ll = l.split() for lll in ll: v.append(float(lll)) j = j + 1 equalibrium_arg[constit] = v i = i + 1 l = readlinenocomm(H) if l[0:5] != '*END*': print("Error, expected end after eq args. Got: ", l) # Read in the node factors l = readlinenocomm(H) numyears = int(l) node_factor = {} i = 0 while i < numconstits: l = readlinenocomm(H) ll = l.split() constit = ll[0] v = [] j = 0 while j <= numyears / 10: l = readlinenocomm(H) ll = l.split() for lll in ll: v.append(float(lll)) j = j + 1 node_factor[constit] = v i = i + 1 l = readlinenocomm(H) if l[0:5] != '*END*': print("Error, expected end after node factors. Got: ", l) harm['sa'] = [0.0410686, 0.04, 44.3373] harm['ssa'] = [0.0821373, 0.0233, 140.8642] harm['Mm'] = [0.5443747, 0.0022, 163.3925] harm['MSF'] = [1.0158958, 0.0019, 73.4003] harm['MF'] = [1.0980331, 0.0025, 203.8471] harm['2Q1'] = [12.8542862, 0.0036, 9.8664] harm['SIGMA1'] = [12.9271398, 0.0043, 16.6066] harm['Q1'] = [13.3986609, 0.023, 52.3723] harm['RHO1'] = [13.4715145, 0.0043, 55.9113] harm['O1'] = [13.9430356, 0.0963, 79.6431] harm['MP1'] = [14.0251729, 0.001, 45.9175] harm['M1'] = [14.4920521, 0.0044, 99.5325] harm['CHI1'] = [14.5695476, 0.0013, 102.4847] harm['PI1'] = [14.9178647, 0.0028, 125.9361] harm['P1'] = [14.9589314, 0.0439, 115.4037] harm['S1'] = [15, 0.0033, 129.8967] harm['K1'] = [15.0410686, 0.148, 119.6599] harm['PSI1'] = [15.0821353, 0.002, 11.0025] harm['PHI1'] = [15.1232059, 0.0015, 103.8567] harm['THETA1'] = [15.5125897, 0.0017, 137.3796] harm['J1'] = [15.5854433, 0.0096, 142.7051] harm['SO1'] = [16.0569644, 0.0017, 173.2765] harm['OO1'] = [16.1391017, 0.0062, 180.0375] harm['OQ2'] = [27.3416964, 0.0006, 75.4143] harm['MNS2'] = [27.4238337, 0.0061, 193.1893] harm['2N2'] = [27.8953548, 0.0205, 199.6233] harm['MEU2'] = [27.9682084, 0.021, 212.8684] harm['N2'] = [28.4397295, 0.1127, 223.5144] harm['NEU2'] = [28.5125831, 0.0206, 223.5377] harm['OP2'] = [28.9019669, 0.0024, 128.4082] harm['M2'] = [28.9841042, 0.5022, 237.061] harm['MKS2'] = [29.0662415, 0.0014, 313.3572] harm['LAMDA2'] = [29.4556253, 0.0058, 224.4572] harm['L2'] = [29.5284789, 0.0135, 243.1576] harm['T2'] = [29.9589333, 0.0073, 281.2802] harm['S2'] = [30, 0.1247, 260.7625] harm['R2'] = [30.0410667, 0.0022, 206.1633] harm['K2'] = [30.0821373, 0.0373, 250.3219] harm['MSN2'] = [30.5443747, 0.0016, 124.387] harm['KJ2'] = [30.626512, 0.0023, 62.9849] harm['2SM2'] = [31.0158958, 0.0019, 145.4123] harm['MO3'] = [42.9271398, 0.0004, 148.654] harm['M3'] = [43.4761563, 0.0023, 327.537] harm['SO3'] = [43.9430356, 0.0002, 307.6915] harm['MK3'] = [44.0251729, 0.0005, 248.2678] harm['SK3'] = [45.0410686, 0.0016, 113.2852] harm['MN4'] = [57.4238337, 0.001, 90.6269] harm['M4'] = [57.9682084, 0.0031, 114.2894] harm['SN4'] = [58.4397295, 0.0003, 103.5135] harm['MS4'] = [58.9841042, 0.0014, 183.7788] harm['MK4'] = [59.0662415, 0.0004, 196.3685] harm['S4'] = [60, 0.0006, 299.9646] harm['SK4'] = [60.0821373, 0.0002, 45.1703] harm['2MN6'] = [86.407938, 0.0009, 6.8059] harm['M6'] = [86.9523127, 0.002, 52.2368] harm['MSN6'] = [87.4238337, 0.0007, 64.4301] harm['2MS6'] = [87.9682084, 0.0025, 114.6867] harm['2MK6'] = [88.0503457, 0.0007, 131.372] harm['2SM6'] = [88.9841042, 0.0003, 157.8974] harm['MSK6'] = [89.0662415, 0.0003, 204.7339] harm['2MN2S2'] = [26.4079379, 0.0003, 1.3443] harm['3M(SK)2'] = [26.8701753, 0.0005, 3.6145] harm['3M2S2'] = [26.9523127, 0.0008, 78.7665] harm['MNK2S2'] = [27.505971, 0.0001, 225.556] harm['SNK2'] = [28.3575922, 0.0003, 218.9001] harm['2SK2'] = [29.9178627, 0.0011, 321.0943] harm['MQ3'] = [42.3827651, 0.0004, 43.8537] harm['2MP3'] = [43.009277, 0.0001, 134.0684] harm['2MQ3'] = [44.5695475, 0.0001, 329.7593] harm['3MK4'] = [56.8701754, 0, 39.731] harm['3MS4'] = [56.9523127, 0.0001, 97.9154] harm['2MSK4'] = [57.8860711, 0.0002, 283.9222] harm['3MK5'] = [71.9112441, 0.0002, 182.3575] harm['M5'] = [72.4602605, 0, 24.2117] harm['3MO5'] = [73.0092771, 0.0005, 264.7303] harm['2(MN)S6'] = [84.8476674, 0, 129.7631] harm['3MNS6'] = [85.3920422, 0.0001, 260.1927] harm['4MK6'] = [85.8542795, 0.0001, 332.2482] harm['4MS6'] = [85.9364168, 0.0001, 249.9087] harm['2MSNK6'] = [86.3258006, 0, 280.3885] harm['2MNU6'] = [86.4807915, 0.0003, 28.4884] harm['3MSK6'] = [86.8701754, 0.0001, 222.0912] harm['4MN6'] = [87.4966873, 0.0003, 292.3403] harm['3MSN6'] = [88.5125832, 0.0006, 338.3166] harm['MKL6'] = [88.5947204, 0.0001, 176.1921] harm['2MN8'] = [114.8476674, 0.0001, 219.9735] harm['3MN8'] = [115.3920422, 0.0002, 245.3801] harm['M8'] = [115.9364168, 0.0002, 284.0175] harm['2MSN8'] = [116.4079379, 0.0002, 203.8838] harm['3MS8'] = [116.9523127, 0.0001, 280.466] harm['3MK8'] = [117.03445, 0.0001, 286.3325] harm['MSNK8'] = [117.505971, 0, 219.0404] harm['2MS8'] = [117.9682084, 0.0002, 188.3974] harm['2MSK8'] = [118.0503457, 0.0001, 195.8549] harm['4MS10'] = [145.9364168, 0.0002, 293.7057] harm['3M2S10'] = [146.9523127, 0.0002, 307.5005] harm['4MSN12'] = [174.3761463, 0.0001, 110.9933] harm['5MS12'] = [174.920521, 0, 180.6601] harm['4M2S12'] = [175.9364168, 0, 108.791] harm['SP3'] = [44.9589314, 0.0019, 112.6443] harm['S3'] = [45, 0.0012, 23.4633] harm['MA2'] = [28.9430375, 0.0039, 117.2716] harm['Ma2'] = [29.0251709, 0.0027, 150.6304] harm['MSV2'] = [30.4715211, 0, 98.718] harm['SKM2'] = [31.0980331, 0.0008, 156.4092] harm['2MNS4'] = [56.407938, 0.0001, 26.7109] harm['MV4'] = [57.4966873, 0.0003, 94.1175] harm['3MN4'] = [58.5125832, 0.0003, 339.4208] harm['2MSN4'] = [59.5284789, 0.0001, 264.4342] harm['NA2'] = [28.3986628, 0.0004, 16.9727] harm['MSO5'] = [72.9271398, 0.0001, 247.7639] harm['MSK5'] = [74.0251729, 0.0002, 189.3859] MSL = 0.9952 # Now do the maths start_time = datetime.datetime(2019, 11, 29, 0, 0, 0) end_time = datetime.datetime(2019, 12, 5, 0, 0, 0) time_step = datetime.timedelta(minutes=15) x = [] y = [] F = open("tide.out", "w") t = start_time while (t < end_time): offset = t - datetime.datetime(t.year, 1, 1, 0, 0, 0) yr = t.year - sy t1 = (offset.days) * 24.0 + offset.seconds / 3600.0 z = MSL for constit in harm.keys(): if constit in node_factor: nf = node_factor[constit][yr] ea = equalibrium_arg[constit][yr] else: nf = 1.0 ea = 0.0 z = z + nf * harm[constit][amp] * math.cos( (harm[constit][speed] * t1 + ea - harm[constit][lag]) * (2 * 3.1415927 / 360.0)) # print t,z F.write("%s,%s\n" % (t, z)) x.append(t) y.append(z) t = t + time_step F.close plt.figure() plot(x, y, c='g', label='Sample') plt.gcf().autofmt_xdate() show()