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