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Performance improvements for nrlmsis00 #4

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f5c46ea
Use lru_cache on nrlmsis00_data function.
ahmed-f-alrefaie Oct 28, 2022
98a7ef7
Updated globe7 to use faster math library
ahmed-f-alrefaie Oct 28, 2022
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136 changes: 135 additions & 1 deletion pyatmos/msise/nrlmsise00_subfunc.py
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Original file line number Diff line number Diff line change
Expand Up @@ -2,7 +2,9 @@
from scipy.interpolate import CubicSpline
from pyshtools.legendre import PLegendreA,PlmIndex
import pkg_resources
from functools import lru_cache

@lru_cache(maxsize=1)
def nrlmsis00_data():
'''
Read the data block from nrlmsis00_data.npz
Expand Down Expand Up @@ -282,10 +284,11 @@ def lengendre(g_lat,lmax = 8):
PLegendreA_x = PLegendreA(lmax,x)
return PLegendreA_x

def globe7(p,inputp,flags):
def globe7_old(p,inputp,flags):
'''
Calculate G(L) function
'''
import math
t = np.zeros(15)
sr = 7.2722E-5
dr = 1.72142E-2
Expand Down Expand Up @@ -410,6 +413,137 @@ def globe7(p,inputp,flags):
tinf = tinf + np.abs(flags['sw'][i])*t[i]
return tinf,[dfa,plg,ctloc,stloc,c2tloc,s2tloc,s3tloc,c3tloc,apdf,apt]

def globe7(p,inputp,flags):
'''
Calculate G(L) function (slightly faster than globe7_old)
'''
import math
t = np.zeros(15)
sr = 7.2722E-5
dr = 1.72142E-2
hr = 0.2618

apdf = 0
apt = np.zeros(4)
tloc = inputp['lst']

if not (flags['sw'][6]==0 and flags['sw'][7]==0 and flags['sw'][13]==0):
stloc,ctloc = math.sin(hr*tloc),math.cos(hr*tloc)
s2tloc,c2tloc = math.sin(2*hr*tloc),math.cos(2*hr*tloc)
s3tloc,c3tloc = math.sin(3*hr*tloc),math.cos(3*hr*tloc)
cd32 = math.cos(dr*(inputp['doy'] - p[31]))
cd18 = math.cos(2*dr*(inputp['doy'] - p[17]))
cd14 = math.cos(dr*(inputp['doy'] - p[13]))
cd39 = math.cos(2*dr*(inputp['doy'] - p[38]))

# F10.7 effect
df = inputp['f107'] - inputp['f107A']
dfa = inputp['f107A'] - 150
t[0] = p[19]*df*(1 + p[59]*dfa) + p[20]*df**2 + p[21]*dfa + p[29]*dfa**2
f1 = 1 + (p[47]*dfa + p[19]*df + p[20]*df**2)*flags['swc'][0]
f2 = 1 + (p[49]*dfa + p[19]*df + p[20]*df**2)*flags['swc'][0]

plg = lengendre(inputp['g_lat'])

# time independent
t[1] = p[1]*plg[3] + p[2]*plg[10] + p[22]*plg[21] + p[14]*plg[3]*dfa*flags['swc'][0] + p[26]*plg[1]

# symmetrical annual
t[2] = p[18]*cd32

# symmetrical semiannual
t[3] = (p[15] + p[16]*plg[3])*cd18

# asymmetrical annual
t[4] = f1*(p[9]*plg[1] + p[10]*plg[6])*cd14

# asymmetrical semiannual
t[5] = p[37]*plg[1]*cd39

# diurnal
if flags['sw'][6]:
t71 = p[11]*plg[4]*cd14*flags['swc'][4]
t72 = p[12]*plg[4]*cd14*flags['swc'][4]
t[6] = f2*((p[3]*plg[2] + p[4]*plg[7] + p[27]*plg[16] + t71) * ctloc + (p[6]*plg[2] + p[7]*plg[7] + p[28]*plg[16] + t72)*stloc)

# semiannual
if flags['sw'][7]:
t81 = (p[23]*plg[8] + p[35]*plg[17])*cd14*flags['swc'][4]
t82 = (p[33]*plg[8] + p[36]*plg[17])*cd14*flags['swc'][4]
t[7] = f2*((p[5]*plg[5] + p[41]*plg[12] + t81)*c2tloc +(p[8]*plg[5] + p[42]*plg[12] + t82)*s2tloc)

# terdiurnal
if flags['sw'][13]:
t[13] = f2*((p[39]*plg[9] + (p[93]*plg[13] + p[46]*plg[24])*cd14*flags['swc'][4])*s3tloc + (p[40]*plg[9]+(p[94]*plg[13] + p[48]*plg[24])*cd14*flags['swc'][4])*c3tloc)

# magnetic activity based on daily ap
if flags['sw'][8] == -1:
ap = inputp['ap_a']
if p[51]!= 0:
exp1 = math.exp(-10800*abs(p[51])/(1 + p[138]*(45 - abs(inputp['g_lat']))))
if exp1 > 0.99999: exp1 = 0.99999
if p[24] < 1E-4: p[24] = 1E-4
apt[0] = sg0(exp1,p,ap)
# apt[1] = sg2(exp1,p,ap)
# apt[2] = sg0(exp2,p,ap)
# apt[3] = sg2(exp2,p,ap)

if flags['sw'][8]:
t[8] = apt[0]*(p[50] + p[96]*plg[3] + p[54]*plg[10] + \
(p[125]*plg[1] + p[126]*plg[6] + p[127]*plg[15])*cd14*flags['swc'][4] + \
(p[128]*plg[2] + p[129]*plg[7] + p[130]*plg[16])*flags['swc'][6]*math.cos(hr*(tloc - p[131])))
else:
apd = inputp['ap'] - 4
p44 = p[43]
p45 = p[44]
if p44 < 0: p44 = 1E-5
apdf = apd + (p45 - 1)*(apd + (math.exp(-p44*apd) - 1)/p44)
if flags['sw'][8]:
t[8]=apdf*(p[32] + p[45]*plg[3] + p[34]*plg[10] + \
(p[100]*plg[1] + p[101]*plg[6] + p[102]*plg[15])*cd14*flags['swc'][4] +
(p[121]*plg[2] + p[122]*plg[7] + p[123]*plg[16])*flags['swc'][6]*math.cos(hr*(tloc - p[124])))

if flags['sw'][9] and inputp['g_lon'] > -1000:
# longitudinal
if flags['sw'][10]:
t[10] = (1 + p[80]*dfa*flags['swc'][0])*((p[64]*plg[4] + p[65]*plg[11] + p[66]*plg[22]\
+ p[103]*plg[2] + p[104]*plg[7] + p[105]*plg[16]\
+ flags['swc'][4]*(p[109]*plg[2] + p[110]*plg[7] + p[111]*plg[16])*cd14)*math.cos(math.radians(inputp['g_lon'])) \
+(p[90]*plg[4]+p[91]*plg[11]+p[92]*plg[22] + p[106]*plg[2]+p[107]*plg[7]+p[108]*plg[16]\
+ flags['swc'][4]*(p[112]*plg[2] + p[113]*plg[7] + p[114]*plg[16])*cd14)*math.sin(math.radians(inputp['g_lon'])))

# ut and mixed ut, longitude
if flags['sw'][11]:
t[11]=(1 + p[95]*plg[1])*(1 + p[81]*dfa*flags['swc'][0])*\
(1 + p[119]*plg[1]*flags['swc'][4]*cd14)*\
((p[68]*plg[1] + p[69]*plg[6] + p[70]*plg[15])*math.cos(sr*(inputp['sec'] - p[71])))
t[11] += flags['swc'][10]*(p[76]*plg[8] + p[77]*plg[17] + p[78]*plg[30])*\
math.cos(sr*(inputp['sec'] - p[79]) + 2*math.radians(inputp['g_lon']))*(1 + p[137]*dfa*flags['swc'][0])

# ut, longitude magnetic activity
if flags['sw'][10]:
if flags['sw'][8] == -1:
if p[51]:
t[12] = apt[0]*flags['swc'][10]*(1 + p[132]*plg[1])*\
((p[52]*plg[4] + p[98]*plg[11] + p[67]*plg[22])* math.cos(math.radians(inputp['g_lon'] - p[97])))\
+ apt[0]*flags['swc'][10]*flags['swc'][4]*(p[133]*plg[2] + p[134]*plg[7] + p[135]*plg[16])*\
cd14*math.cos(math.radians(inputp['g_lon'] - p[136])) + apt[0]*flags['swc'][11]* \
(p[55]*plg[1] + p[56]*plg[6] + p[57]*plg[15])*math.cos(sr*(inputp['sec'] - p[58]))
else:
t[12] = apdf*flags['swc'][10]*(1 + p[120]*plg[1])*((p[60]*plg[4] + p[61]*plg[11] + p[62]*plg[22])*\
math.cos(math.radians(inputp['g_lon']-p[63])))+apdf*flags['swc'][10]*flags['swc'][4]* \
(p[115]*plg[2] + p[116]*plg[7] + p[117]*plg[16])* \
cd14*math.cos(math.radians(inputp['g_lon'] - p[118])) \
+ apdf*flags['swc'][11]*(p[83]*plg[1] + p[84]*plg[6] + p[85]*plg[15])* math.cos(sr*(inputp['sec'] - p[75]))

# parms not used: 82, 89, 99, 139-149
tinf = p[30]
tinf += np.sum(np.abs(np.array(flags['sw'])[:14])*t[:14])
# for i in range(14):
# tinf = tinf + abs(flags['sw'][i])*t[i]
return tinf,[dfa,plg,ctloc,stloc,c2tloc,s2tloc,s3tloc,c3tloc,apdf,apt]


def glob7s(p,inputp,flags,varli):
pset = 2
t = np.zeros(14)
Expand Down