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nrlmsise_00.py
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nrlmsise_00.py
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"""
12/19/2013
Author: Joshua Milas
Python Version: 3.3.2
The NRLMSISE-00 model 2001 ported to python
Based off of Dominik Brodowski 20100516 version available here
http://www.brodo.de/english/pub/nrlmsise/
This is the main program that contains all the functions
/* -------------------------------------------------------------------- */
/* --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ---------- */
/* -------------------------------------------------------------------- */
/* This file is part of the NRLMSISE-00 C source code package - release
* 20041227
*
* The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and
* Doug Drob. They also wrote a NRLMSISE-00 distribution package in
* FORTRAN which is available at
* http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm
*
* Dominik Brodowski implemented and maintains this C version. You can
* reach him at [email protected]. See the file "DOCUMENTATION" for details,
* and check http://www.brodo.de/english/pub/nrlmsise/index.html for
* updated releases of this package.
*/
"""
from nrlmsise_00_header import *
from math import *
"""
/* ------------------------------------------------------------------- */
/* ------------------------- SHARED VARIABLES ------------------------ */
/* ------------------------------------------------------------------- */
"""
#/* PARMB */
gsurf = [0.0];
re = [0.0];
#/* GTS3C */
dd = 0.0;
#/* DMIX */
dm04 = 0.0
dm16 = 0.0
dm28 = 0.0
dm32 = 0.0
dm40 = 0.0
dm01 = 0.0
dm14 = 0.0
#/* MESO7 */
meso_tn1 = [0.0 for _ in range(5)];
meso_tn2 = [0.0 for _ in range(4)];
meso_tn3 = [0.0 for _ in range(5)];
meso_tgn1 = [0.0 for _ in range(2)];
meso_tgn2 = [0.0 for _ in range(2)];
meso_tgn3 = [0.0 for _ in range(2)];
#/* POWER7 */
#/* LOWER7 */
#Dont to need to do anyt of the externs, they are all here
from nrlmsise_00_data import *
#/* LPOLY */
dfa = 0.0
plg = [[0.0 for _ in range(9)] for _ in range(4)];
ctloc = 0.0
stloc = 0.0
c2tloc = 0.0
s2tloc = 0.0
s3tloc = 0.0
c3tloc = 0.0
apdf = 0.0
apt = [0.0 for _ in range(4)]
#since rgas is used eerywehre usignthe same variable, ill make it glboal
#rgas = 831.44621
#rgas = 831.4
"""
/* ------------------------------------------------------------------- */
/* ------------------------------ TSELEC ----------------------------- */
/* ------------------------------------------------------------------- */
"""
def tselec(flags):
for i in range(24):
if(i != 9):
if(flags.switches[i]==1):
flags.sw[i]=1
else:
flags.sw[i]=0
if(flags.switches[i]>0):
flags.swc[i]=1
else:
flags.swc[i]=0
else:
flags.sw[i]=flags.switches[i]
flags.swc[i]=flags.switches[i]
return
"""
/* ------------------------------------------------------------------- */
/* ------------------------------ GLATF ------------------------------ */
/* ------------------------------------------------------------------- */
"""
def glatf(lat, gv, reff):
dgtr = 1.74533E-2
c2 = cos(2.0*dgtr*lat)
#Need to return these since the c program wants pointers to these
gv[0] = 980.616 * (1.0 - 0.0026373 * c2)
reff[0] = 2.0 * (gv[0]) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5 #The may-be troubled line
return #gv, rref
"""
/* ------------------------------------------------------------------- */
/* ------------------------------ CCOR ------------------------------- */
/* ------------------------------------------------------------------- */
"""
def ccor(alt, r, h1, zh):
"""
/* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
* ALT - altitude
* R - target ratio
* H1 - transition scale length
* ZH - altitude of 1/2 R
*/
"""
e = (alt - zh) / h1
if(e>70):
return exp(0)
if (e<-70):
return exp(r)
ex = exp(e)
e = r / (1.0 + ex)
return exp(e)
'''
/* ------------------------------------------------------------------- */
/* ------------------------------ CCOR ------------------------------- */
/* ------------------------------------------------------------------- */
'''
def ccor2(alt, r, h1, zh, h2):
'''
/* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
* ALT - altitude
* R - target ratio
* H1 - transition scale length
* ZH - altitude of 1/2 R
* H2 - transition scale length #2 ?
*/
'''
e1 = (alt - zh) / h1;
e2 = (alt - zh) / h2;
if ((e1 > 70) or (e2 > 70)):
return exp(0)
if ((e1 < -70) and (e2 < -70)):
return exp(r)
ex1 = exp(e1);
ex2 = exp(e2);
ccor2v = r / (1.0 + 0.5 * (ex1 + ex2));
return exp(ccor2v);
"""
/* ------------------------------------------------------------------- */
/* ------------------------------- SCALH ----------------------------- */
/* ------------------------------------------------------------------- */
"""
def scalh(alt, xm, temp):
#rgas = 831.44621 #maybe make this a global constant?
rgas = 831.4
g = gsurf[0] / (pow((1.0 + alt/re[0]),2.0))
g = rgas * temp / (g * xm)
return g
'''
/* ------------------------------------------------------------------- */
/* -------------------------------- DNET ----------------------------- */
/* ------------------------------------------------------------------- */
'''
def dnet(dd, dm, zhm, xmm, xm):
'''
/* TURBOPAUSE CORRECTION FOR MSIS MODELS
* Root mean density
* DD - diffusive density
* DM - full mixed density
* ZHM - transition scale length
* XMM - full mixed molecular weight
* XM - species molecular weight
* DNET - combined density
*/
'''
a = zhm / (xmm-xm)
if( not((dm>0) and (dd>0))):
print("dnet log error %e %e %e" % (dm, dd, xm))
if((dd==0) and (dm==0)):
dd=1
if(dm==0):
return dd
if(dd==0):
return dm
ylog = a * log(dm/dd)
if(ylog < -10):
return dd
if(ylog>10):
return dm
a = dd*pow((1.0 + exp(ylog)),(1.0/a))
return a
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- SPLINI ---------------------------- */
/* ------------------------------------------------------------------- */
'''
def splini(xa, ya, y2a, n, x, y):
'''
/* INTEGRATE CUBIC SPLINE FUNCTION FROM XA(1) TO X
* XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
* Y2A: ARRAY OF SECOND DERIVATIVES
* N: SIZE OF ARRAYS XA,YA,Y2A
* X: ABSCISSA ENDPOINT FOR INTEGRATION
* Y: OUTPUT VALUE
*/
'''
yi = 0
klo = 0
khi = 1
while((x>xa[klo]) and (khi<n)):
xx = x
if(khi < (n-1)):
if (x < xa[khi]):
xx = x
else:
xx = xa[khi]
h = xa[khi] - xa[klo]
a = (xa[khi] - xx)/h
b = (xx - xa[klo])/h
a2 = a*a
b2 = b*b
yi += ((1.0 - a2) * ya[klo] / 2.0 + b2 * ya[khi] / 2.0 + ((-(1.0+a2*a2)/4.0 + a2/2.0) * y2a[klo] + (b2*b2/4.0 - b2/2.0) * y2a[khi]) * h * h / 6.0) * h;
klo += 1;
khi += 1;
y[0] = yi
return #yi
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- SPLINT ---------------------------- */
/* ------------------------------------------------------------------- */
'''
def splint(xa, ya, y2a, n, x, y):
'''
/* CALCULATE CUBIC SPLINE INTERP VALUE
* ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL.
* XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
* Y2A: ARRAY OF SECOND DERIVATIVES
* N: SIZE OF ARRAYS XA,YA,Y2A
* X: ABSCISSA FOR INTERPOLATION
* Y: OUTPUT VALUE
*/
'''
klo = 0
khi = n-1
while((khi-klo)>1):
k=int((khi+klo)/2);
if (xa[k]>x):
khi = k
else:
klo = k
h = xa[khi] - xa[klo];
if (h==0.0):
print("bad XA input to splint")
a = (xa[khi] - x)/h;
b = (x - xa[klo])/h;
yi = a * ya[klo] + b * ya[khi] + ((a*a*a - a) * y2a[klo] + (b*b*b - b) * y2a[khi]) * h * h/6.0;
y[0] = yi #may not need this
return #yi #or this
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- SPLINE ---------------------------- */
/* ------------------------------------------------------------------- */
'''
def spline(x, y, n, yp1, ypn, y2):
'''
/* CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION
* ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL
* X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
* N: SIZE OF ARRAYS X,Y
* YP1,YPN: SPECIFIED DERIVATIVES AT X[0] AND X[N-1]; VALUES
* >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO
* Y2: OUTPUT ARRAY OF SECOND DERIVATIVES
*/
'''
u = [0.0 for _ in range(n)] #I think this is the same as malloc
#no need for the out of memory
if (yp1 > 0.99E30):
y2[0] = 0
u[0] = 0
else:
y2[0]=-0.5
u[0]=(3.0/(x[1]-x[0]))*((y[1]-y[0])/(x[1]-x[0])-yp1)
for i in range(1, n-1):
sig = (x[i]-x[i-1])/(x[i+1] - x[i-1])
p = sig * y2[i-1] + 2.0
y2[i] = (sig - 1.0) / p
u[i] = (6.0 * ((y[i+1] - y[i])/(x[i+1] - x[i]) -(y[i] - y[i-1]) / (x[i] - x[i-1]))/(x[i+1] - x[i-1]) - sig * u[i-1])/p;
if (ypn>0.99E30):
qn = 0;
un = 0
else:
qn = 0.5
un = (3.0 / (x[n-1] - x[n-2])) * (ypn - (y[n-1] - y[n-2])/(x[n-1] - x[n-2]));
y2[n-1] = (un - qn * u[n-2]) / (qn * y2[n-2] + 1.0);
#it uses a for loop here, but its not something python can do (I dont think)
k = n-2
while(k >= 0):
y2[k] = y2[k] * y2[k+1] + u[k]
k -= 1
#This for loop might work
#for k in range(n-2, -1, -1):
# y2[k] = y2[k] * y2[k+1] + u[k]
#no need to free u here
return
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- DENSM ----------------------------- */
/* ------------------------------------------------------------------- */
'''
def zeta(zz, zl):
return ((zz-zl)*(re[0]+zl)/(re[0]+zz)) #re is the global variable
def densm(alt, d0, xm, tz, mn3, zn3, tn3, tgn3, mn2, zn2, tn2, tgn2):
'''
/* Calculate Temperature and Density Profiles for lower atmos. */
'''
xs = [0.0 for _ in range(10)]
ys = [0.0 for _ in range(10)]
y2out = [0.0 for _ in range(10)]
rgas = 831.4
#rgas = 831.44621 #maybe make this a global constant?
densm_tmp=d0
if (alt>zn2[0]):
if(xm==0.0):
return tz[0]
else:
return d0
#/* STRATOSPHERE/MESOSPHERE TEMPERATURE */
if (alt>zn2[mn2-1]):
z=alt
else:
z=zn2[mn2-1];
mn=mn2;
z1=zn2[0];
z2=zn2[mn-1];
t1=tn2[0];
t2=tn2[mn-1];
zg = zeta(z, z1);
zgdif = zeta(z2, z1);
#/* set up spline nodes */
for k in range(mn):
xs[k]=zeta(zn2[k],z1)/zgdif;
ys[k]=1.0 / tn2[k];
yd1=-tgn2[0] / (t1*t1) * zgdif;
yd2=-tgn2[1] / (t2*t2) * zgdif * (pow(((re[0]+z2)/(re[0]+z1)),2.0));
#/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out); #No need to change this
x = zg/zgdif;
y = [0.0]
splint (xs, ys, y2out, mn, x, y);
#/* temperature at altitude */
tz[0] = 1.0 / y[0];
if (xm!=0.0):
#/* calaculate stratosphere / mesospehere density */
glb = gsurf[0] / (pow((1.0 + z1/re[0]),2.0));
gamm = xm * glb * zgdif / rgas;
#/* Integrate temperature profile */
yi = [0.0]
splini(xs, ys, y2out, mn, x, yi);
expl=gamm*yi[0];
if (expl>50.0):
expl=50.0
#/* Density at altitude */
densm_tmp = densm_tmp * (t1 / tz[0]) * exp(-expl);
if (alt>zn3[0]):
if (xm==0.0):
return tz[0]
else:
return densm_tmp
#/* troposhere / stratosphere temperature */
z = alt;
mn = mn3;
z1=zn3[0];
z2=zn3[mn-1];
t1=tn3[0];
t2=tn3[mn-1];
zg=zeta(z,z1);
zgdif=zeta(z2,z1);
#/* set up spline nodes */
for k in range(mn):
xs[k] = zeta(zn3[k],z1) / zgdif;
ys[k] = 1.0 / tn3[k];
yd1=-tgn3[0] / (t1*t1) * zgdif;
yd2=-tgn3[1] / (t2*t2) * zgdif * (pow(((re[0]+z2)/(re[0]+z1)),2.0));
#/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out);
x = zg/zgdif;
y = [0.0]
splint (xs, ys, y2out, mn, x, y);
#/* temperature at altitude */
tz[0] = 1.0 / y[0];
if (xm!=0.0):
#/* calaculate tropospheric / stratosphere density */
glb = gsurf[0] / (pow((1.0 + z1/re[0]),2.0));
gamm = xm * glb * zgdif / rgas;
#/* Integrate temperature profile */
yi = [0.0]
splini(xs, ys, y2out, mn, x, yi);
expl=gamm*yi[0];
if (expl>50.0):
expl=50.0;
#/* Density at altitude */
densm_tmp = densm_tmp * (t1 / tz[0]) * exp(-expl);
if (xm==0.0):
return tz[0];
else:
return densm_tmp;
return
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- DENSU ----------------------------- */
/* ------------------------------------------------------------------- */
'''
def densu(alt, dlb, tinf, tlb, xm, alpha, tz, zlb, s2, mn1, zn1, tn1, tgn1):
'''
/* Calculate Temperature and Density Profiles for MSIS models
* New lower thermo polynomial
*/
tz, zn1, tn1, and tgn1 are simulated pointers
'''
rgas = 831.4
#rgas = 831.44621 #maybe make this a global constant?
densu_temp = 1.0
xs = [0.0 for _ in range(5)]
ys = [0.0 for _ in range(5)]
y2out = [0.0 for _ in range(5)]
#/* joining altitudes of Bates and spline */
za=zn1[0];
if (alt>za):
z=alt;
else:
z=za;
#/* geopotential altitude difference from ZLB */
zg2 = zeta(z, zlb);
#/* Bates temperature */
tt = tinf - (tinf - tlb) * exp(-s2*zg2);
ta = tt;
tz[0] = tt
densu_temp = tz[0]
if (alt<za):
#/* calculate temperature below ZA
# * temperature gradient at ZA from Bates profile */
dta = (tinf - ta) * s2 * pow(((re[0]+zlb)/(re[0]+za)),2.0);
tgn1[0]=dta;
tn1[0]=ta;
if (alt>zn1[mn1-1]):
z=alt;
else:
z=zn1[mn1-1];
mn=mn1;
z1=zn1[0];
z2=zn1[mn-1];
t1=tn1[0];
t2=tn1[mn-1];
#/* geopotental difference from z1 */
zg = zeta (z, z1);
zgdif = zeta(z2, z1);
#/* set up spline nodes */
for k in range(mn):
xs[k] = zeta(zn1[k], z1) / zgdif;
ys[k] = 1.0 / tn1[k];
#/* end node derivatives */
yd1 = -tgn1[0] / (t1*t1) * zgdif;
yd2 = -tgn1[1] / (t2*t2) * zgdif * pow(((re[0]+z2)/(re[0]+z1)),2.0);
#/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out);
x = zg / zgdif;
y = [0.0]
splint (xs, ys, y2out, mn, x, y);
#/* temperature at altitude */
tz[0] = 1.0 / y[0];
densu_temp = tz[0];
if (xm==0):
return densu_temp;
#/* calculate density above za */
glb = gsurf[0] / pow((1.0 + zlb/re[0]),2.0);
gamma = xm * glb / (s2 * rgas * tinf);
expl = exp(-s2 * gamma * zg2);
if (expl>50.0):
expl=50.0;
if (tt<=0):
expl=50.0;
#/* density at altitude */
densa = dlb * pow((tlb/tt),((1.0+alpha+gamma))) * expl;
densu_temp=densa;
if (alt>=za):
return densu_temp;
#/* calculate density below za */
glb = gsurf[0] / pow((1.0 + z1/re[0]),2.0);
gamm = xm * glb * zgdif / rgas;
#/* integrate spline temperatures */
yi = [0]
splini (xs, ys, y2out, mn, x, yi);
expl = gamm * yi[0];
if (expl>50.0):
expl=50.0;
if (tz[0]<=0):
expl=50.0;
#/* density at altitude */
densu_temp = densu_temp * pow ((t1 / tz[0]),(1.0 + alpha)) * exp(-expl);
return densu_temp;
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- GLOBE7 ---------------------------- */
/* ------------------------------------------------------------------- */
'''
#/* 3hr Magnetic activity functions */
#/* Eq. A24d */
def g0(a, p):
return (a - 4.0 + (p[25] - 1.0) * (a - 4.0 + (exp(-sqrt(p[24]*p[24]) * (a - 4.0)) - 1.0) / sqrt(p[24]*p[24])));
#/* Eq. A24c */
def sumex(ex):
return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5));
#/* Eq. A24a */
def sg0(ex, p, ap):
return (g0(ap[1],p) + (g0(ap[2],p)*ex + g0(ap[3],p)*ex*ex + \
g0(ap[4],p)*pow(ex,3.0) + (g0(ap[5],p)*pow(ex,4.0) + \
g0(ap[6],p)*pow(ex,12.0))*(1.0-pow(ex,8.0))/(1.0-ex)))/sumex(ex);
def globe7(p, Input, flags):
'''
/* CALCULATE G(L) FUNCTION
* Upper Thermosphere Parameters */
'''
t = [0 for _ in range(15)] #modified this, there was a for loop that did this
sw9 = 1
sr = 7.2722E-5;
dgtr = 1.74533E-2;
dr = 1.72142E-2;
hr = 0.2618;
tloc = Input.lst
#for j in range(14):
# t[j] = 0
if(flags.sw[9] > 0):
sw9 = 1
elif(flags.sw[9] < 0):
sw9 = -1
xlong = Input.g_long
#/* calculate legendre polynomials */
c = sin(Input.g_lat * dgtr);
s = cos(Input.g_lat * dgtr);
c2 = c*c;
c4 = c2*c2;
s2 = s*s;
plg[0][1] = c;
plg[0][2] = 0.5*(3.0*c2 -1.0);
plg[0][3] = 0.5*(5.0*c*c2-3.0*c);
plg[0][4] = (35.0*c4 - 30.0*c2 + 3.0)/8.0;
plg[0][5] = (63.0*c2*c2*c - 70.0*c2*c + 15.0*c)/8.0;
plg[0][6] = (11.0*c*plg[0][5] - 5.0*plg[0][4])/6.0;
#/* plg[0][7] = (13.0*c*plg[0][6] - 6.0*plg[0][5])/7.0; */
plg[1][1] = s;
plg[1][2] = 3.0*c*s;
plg[1][3] = 1.5*(5.0*c2-1.0)*s;
plg[1][4] = 2.5*(7.0*c2*c-3.0*c)*s;
plg[1][5] = 1.875*(21.0*c4 - 14.0*c2 +1.0)*s;
plg[1][6] = (11.0*c*plg[1][5]-6.0*plg[1][4])/5.0;
#/* plg[1][7] = (13.0*c*plg[1][6]-7.0*plg[1][5])/6.0; */
#/* plg[1][8] = (15.0*c*plg[1][7]-8.0*plg[1][6])/7.0; */
plg[2][2] = 3.0*s2;
plg[2][3] = 15.0*s2*c;
plg[2][4] = 7.5*(7.0*c2 -1.0)*s2;
plg[2][5] = 3.0*c*plg[2][4]-2.0*plg[2][3];
plg[2][6] =(11.0*c*plg[2][5]-7.0*plg[2][4])/4.0;
plg[2][7] =(13.0*c*plg[2][6]-8.0*plg[2][5])/5.0;
plg[3][3] = 15.0*s2*s;
plg[3][4] = 105.0*s2*s*c;
plg[3][5] =(9.0*c*plg[3][4]-7.*plg[3][3])/2.0;
plg[3][6] =(11.0*c*plg[3][5]-8.*plg[3][4])/3.0;
if( not (((flags.sw[7]==0) and (flags.sw[8]==0)) and (flags.sw[14] == 0))):
global stloc
stloc = sin(hr*tloc);
global ctloc
ctloc = cos(hr*tloc);
global s2tloc
s2tloc = sin(2.0*hr*tloc);
global c2tloc
c2tloc = cos(2.0*hr*tloc);
global s3tloc
s3tloc = sin(3.0*hr*tloc);
global c3tloc
c3tloc = cos(3.0*hr*tloc);
cd32 = cos(dr*(Input.doy-p[31]));
cd18 = cos(2.0*dr*(Input.doy-p[17]));
cd14 = cos(dr*(Input.doy-p[13]));
cd39 = cos(2.0*dr*(Input.doy-p[38]));
p32=p[31];
p18=p[17];
p14=p[13];
p39=p[38];
#/* F10.7 EFFECT */
df = Input.f107 - Input.f107A;
global dfa
dfa = Input.f107A - 150.0;
t[0] = p[19]*df*(1.0+p[59]*dfa) + p[20]*df*df + p[21]*dfa + p[29]*pow(dfa,2.0);
f1 = 1.0 + (p[47]*dfa +p[19]*df+p[20]*df*df)*flags.swc[1];
f2 = 1.0 + (p[49]*dfa+p[19]*df+p[20]*df*df)*flags.swc[1];
#/* TIME INDEPENDENT */
t[1] = (p[1]*plg[0][2]+ p[2]*plg[0][4]+p[22]*plg[0][6]) + \
(p[14]*plg[0][2])*dfa*flags.swc[1] +p[26]*plg[0][1];
#/* SYMMETRICAL ANNUAL */
t[2] = p[18]*cd32;
#/* SYMMETRICAL SEMIANNUAL */
t[3] = (p[15]+p[16]*plg[0][2])*cd18;
#/* ASYMMETRICAL ANNUAL */
t[4] = f1*(p[9]*plg[0][1]+p[10]*plg[0][3])*cd14;
#/* ASYMMETRICAL SEMIANNUAL */
t[5] = p[37]*plg[0][1]*cd39;
#/* DIURNAL */
if (flags.sw[7]):
t71 = (p[11]*plg[1][2])*cd14*flags.swc[5];
t72 = (p[12]*plg[1][2])*cd14*flags.swc[5];
t[6] = f2*((p[3]*plg[1][1] + p[4]*plg[1][3] + p[27]*plg[1][5] + t71) * \
ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + p[28]*plg[1][5] \
+ t72)*stloc);
#/* SEMIDIURNAL */
if (flags.sw[8]):
t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags.swc[5];
t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags.swc[5];
t[7] = f2*((p[5]*plg[2][2]+ p[41]*plg[2][4] + t81)*c2tloc +(p[8]*plg[2][2] + p[42]*plg[2][4] + t82)*s2tloc);
#/* TERDIURNAL */
if (flags.sw[14]):
t[13] = f2 * ((p[39]*plg[3][3]+(p[93]*plg[3][4]+p[46]*plg[3][6])*cd14*flags.swc[5])* s3tloc +(p[40]*plg[3][3]+(p[94]*plg[3][4]+p[48]*plg[3][6])*cd14*flags.swc[5])* c3tloc);
#/* magnetic activity based on daily ap */
if (flags.sw[9]==-1):
ap = Input.ap_a;
if (p[51]!=0):
exp1 = exp(-10800.0*sqrt(p[51]*p[51])/(1.0+p[138]*(45.0-sqrt(Input.g_lat*Input.g_lat))));
if (exp1>0.99999):
exp1=0.99999;
if (p[24]<1.0E-4):
p[24]=1.0E-4;
apt[0]=sg0(exp1,p,ap.a);
#/* apt[1]=sg2(exp1,p,ap->a);
# apt[2]=sg0(exp2,p,ap->a);
# apt[3]=sg2(exp2,p,ap->a);
#*/
if (flags.sw[9]):
t[8] = apt[0]*(p[50]+p[96]*plg[0][2]+p[54]*plg[0][4]+ \
(p[125]*plg[0][1]+p[126]*plg[0][3]+p[127]*plg[0][5])*cd14*flags.swc[5]+ \
(p[128]*plg[1][1]+p[129]*plg[1][3]+p[130]*plg[1][5])*flags.swc[7]* \
cos(hr*(tloc-p[131])));
else:
apd=Input.ap-4.0;
p44=p[43];
p45=p[44];
if (p44<0):
p44 = 1.0E-5;
global apdf
apdf = apd + (p45-1.0)*(apd + (exp(-p44 * apd) - 1.0)/p44);
if (flags.sw[9]):
t[8]=apdf*(p[32]+p[45]*plg[0][2]+p[34]*plg[0][4]+ \
(p[100]*plg[0][1]+p[101]*plg[0][3]+p[102]*plg[0][5])*cd14*flags.swc[5]+
(p[121]*plg[1][1]+p[122]*plg[1][3]+p[123]*plg[1][5])*flags.swc[7]*
cos(hr*(tloc-p[124])));
if ((flags.sw[10]) and (Input.g_long>-1000.0)):
#/* longitudinal */
if (flags.sw[11]):
t[10] = (1.0 + p[80]*dfa*flags.swc[1])* \
((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
+p[103]*plg[1][1]+p[104]*plg[1][3]+p[105]*plg[1][5]\
+flags.swc[5]*(p[109]*plg[1][1]+p[110]*plg[1][3]+p[111]*plg[1][5])*cd14)* \
cos(dgtr*Input.g_long) \
+(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
+p[106]*plg[1][1]+p[107]*plg[1][3]+p[108]*plg[1][5]\
+flags.swc[5]*(p[112]*plg[1][1]+p[113]*plg[1][3]+p[114]*plg[1][5])*cd14)* \
sin(dgtr*Input.g_long));
#/* ut and mixed ut, longitude */
if (flags.sw[12]):
t[11]=(1.0+p[95]*plg[0][1])*(1.0+p[81]*dfa*flags.swc[1])*\
(1.0+p[119]*plg[0][1]*flags.swc[5]*cd14)*\
((p[68]*plg[0][1]+p[69]*plg[0][3]+p[70]*plg[0][5])*\
cos(sr*(Input.sec-p[71])));
t[11]+=flags.swc[11]*\
(p[76]*plg[2][3]+p[77]*plg[2][5]+p[78]*plg[2][7])*\
cos(sr*(Input.sec-p[79])+2.0*dgtr*Input.g_long)*(1.0+p[137]*dfa*flags.swc[1]);
#/* ut, longitude magnetic activity */
if (flags.sw[13]):
if (flags.sw[9]==-1):
if (p[51]):
t[12]=apt[0]*flags.swc[11]*(1.+p[132]*plg[0][1])*\
((p[52]*plg[1][2]+p[98]*plg[1][4]+p[67]*plg[1][6])*\
cos(dgtr*(Input.g_long-p[97])))\
+apt[0]*flags.swc[11]*flags.swc[5]*\
(p[133]*plg[1][1]+p[134]*plg[1][3]+p[135]*plg[1][5])*\
cd14*cos(dgtr*(Input.g_long-p[136])) \
+apt[0]*flags.swc[12]* \
(p[55]*plg[0][1]+p[56]*plg[0][3]+p[57]*plg[0][5])*\
cos(sr*(Input.sec-p[58]));
else:
t[12] = apdf*flags.swc[11]*(1.0+p[120]*plg[0][1])*\
((p[60]*plg[1][2]+p[61]*plg[1][4]+p[62]*plg[1][6])*\
cos(dgtr*(Input.g_long-p[63])))\
+apdf*flags.swc[11]*flags.swc[5]* \
(p[115]*plg[1][1]+p[116]*plg[1][3]+p[117]*plg[1][5])* \
cd14*cos(dgtr*(Input.g_long-p[118])) \
+ apdf*flags.swc[12]* \
(p[83]*plg[0][1]+p[84]*plg[0][3]+p[85]*plg[0][5])* \
cos(sr*(Input.sec-p[75]));
#/* parms not used: 82, 89, 99, 139-149 */
tinf = p[30];
for i in range(14):
tinf = tinf + abs(flags.sw[i+1])*t[i];
return tinf;
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- GLOB7S ---------------------------- */
/* ------------------------------------------------------------------- */
'''
def glob7s(p, Input, flags):
'''
/* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99
*/
'''
pset = 2.0
t = [0.0 for _ in range(14)]
dr=1.72142E-2;
dgtr=1.74533E-2;
#/* confirm parameter set */
if (p[99]==0):
p[99]=pset;
if (p[99]!=pset):
printf("Wrong parameter set for glob7s\n");
return -1;
#for j in range(14): #Already taken care of
# t[j]=0.0;
cd32 = cos(dr*(Input.doy-p[31]));
cd18 = cos(2.0*dr*(Input.doy-p[17]));
cd14 = cos(dr*(Input.doy-p[13]));
cd39 = cos(2.0*dr*(Input.doy-p[38]));
p32=p[31];
p18=p[17];
p14=p[13];
p39=p[38];
#/* F10.7 */
t[0] = p[21]*dfa;
#/* time independent */
t[1]=p[1]*plg[0][2] + p[2]*plg[0][4] + p[22]*plg[0][6] + p[26]*plg[0][1] + p[14]*plg[0][3] + p[59]*plg[0][5];
#/* SYMMETRICAL ANNUAL */
t[2]=(p[18]+p[47]*plg[0][2]+p[29]*plg[0][4])*cd32;
#/* SYMMETRICAL SEMIANNUAL */
t[3]=(p[15]+p[16]*plg[0][2]+p[30]*plg[0][4])*cd18;
#/* ASYMMETRICAL ANNUAL */
t[4]=(p[9]*plg[0][1]+p[10]*plg[0][3]+p[20]*plg[0][5])*cd14;
#/* ASYMMETRICAL SEMIANNUAL */
t[5]=(p[37]*plg[0][1])*cd39;
#/* DIURNAL */
if (flags.sw[7]):
t71 = p[11]*plg[1][2]*cd14*flags.swc[5];
t72 = p[12]*plg[1][2]*cd14*flags.swc[5];
t[6] = ((p[3]*plg[1][1] + p[4]*plg[1][3] + t71) * ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + t72) * stloc) ;
#/* SEMIDIURNAL */
if (flags.sw[8]):
t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags.swc[5];
t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags.swc[5];
t[7] = ((p[5]*plg[2][2] + p[41]*plg[2][4] + t81) * c2tloc + (p[8]*plg[2][2] + p[42]*plg[2][4] + t82) * s2tloc);
#/* TERDIURNAL */
if (flags.sw[14]):
t[13] = p[39] * plg[3][3] * s3tloc + p[40] * plg[3][3] * c3tloc;
#/* MAGNETIC ACTIVITY */
if (flags.sw[9]):
if (flags.sw[9]==1):
t[8] = apdf * (p[32] + p[45] * plg[0][2] * flags.swc[2]);
if (flags.sw[9]==-1):
t[8]=(p[50]*apt[0] + p[96]*plg[0][2] * apt[0]*flags.swc[2]);
#/* LONGITUDINAL */
if ( not((flags.sw[10]==0) or (flags.sw[11]==0) or (Input.g_long<=-1000.0))):
t[10] = (1.0 + plg[0][1]*(p[80]*flags.swc[5]*cos(dr*(Input.doy-p[81]))\
+p[85]*flags.swc[6]*cos(2.0*dr*(Input.doy-p[86])))\
+p[83]*flags.swc[3]*cos(dr*(Input.doy-p[84]))\
+p[87]*flags.swc[4]*cos(2.0*dr*(Input.doy-p[88])))\
*((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
+p[74]*plg[1][1]+p[75]*plg[1][3]+p[76]*plg[1][5]\
)*cos(dgtr*Input.g_long)\
+(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
+p[77]*plg[1][1]+p[78]*plg[1][3]+p[79]*plg[1][5]\
)*sin(dgtr*Input.g_long));
tt=0;
for i in range(14):
tt+=abs(flags.sw[i+1])*t[i];
return tt;
'''
/* ------------------------------------------------------------------- */
/* ------------------------------- GTD7 ------------------------------ */
/* ------------------------------------------------------------------- */
'''
def gtd7(Input, flags, output):
mn3 = 5
zn3 = [32.5,20.0,15.0,10.0,0.0]
mn2 = 4
zn2 = [72.5,55.0,45.0,32.5]
zmix = 62.5
soutput = nrlmsise_output()
tselec(flags);
#/* Latitude variation of gravity (none for sw[2]=0) */
xlat=Input.g_lat;
if (flags.sw[2]==0):
xlat=45.0;
glatf(xlat, gsurf, re);
xmm = pdm[2][4];
#/* THERMOSPHERE / MESOSPHERE (above zn2[0]) */
if (Input.alt>zn2[0]):
altt=Input.alt;
else:
altt=zn2[0];
tmp=Input.alt;
Input.alt=altt;
gts7(Input, flags, soutput);
altt=Input.alt;
Input.alt=tmp;
if (flags.sw[0]): #/* metric adjustment */
dm28m= dm28*1.0E6;
else:
dm28m = dm28;
output.t[0]=soutput.t[0];
output.t[1]=soutput.t[1];
if (Input.alt>=zn2[0]):
for i in range(9):
output.d[i]=soutput.d[i];
return
#/* LOWER MESOSPHERE/UPPER STRATOSPHERE (between zn3[0] and zn2[0])
#* Temperature at nodes and gradients at end nodes
#* Inverse temperature a linear function of spherical harmonics
#*/
meso_tgn2[0]=meso_tgn1[1];
meso_tn2[0]=meso_tn1[4];
meso_tn2[1]=pma[0][0]*pavgm[0]/(1.0-flags.sw[20]*glob7s(pma[0], Input, flags));
meso_tn2[2]=pma[1][0]*pavgm[1]/(1.0-flags.sw[20]*glob7s(pma[1], Input, flags));
meso_tn2[3]=pma[2][0]*pavgm[2]/(1.0-flags.sw[20]*flags.sw[22]*glob7s(pma[2], Input, flags));
meso_tgn2[1]=pavgm[8]*pma[9][0]*(1.0+flags.sw[20]*flags.sw[22]*glob7s(pma[9], Input, flags))*meso_tn2[3]*meso_tn2[3]/(pow((pma[2][0]*pavgm[2]),2.0));
meso_tn3[0]=meso_tn2[3];
if (Input.alt<zn3[0]):
#/* LOWER STRATOSPHERE AND TROPOSPHERE (below zn3[0])
#* Temperature at nodes and gradients at end nodes
#* Inverse temperature a linear function of spherical harmonics
#*/
meso_tgn3[0]=meso_tgn2[1];
meso_tn3[1]=pma[3][0]*pavgm[3]/(1.0-flags.sw[22]*glob7s(pma[3], Input, flags));
meso_tn3[2]=pma[4][0]*pavgm[4]/(1.0-flags.sw[22]*glob7s(pma[4], Input, flags));
meso_tn3[3]=pma[5][0]*pavgm[5]/(1.0-flags.sw[22]*glob7s(pma[5], Input, flags));
meso_tn3[4]=pma[6][0]*pavgm[6]/(1.0-flags.sw[22]*glob7s(pma[6], Input, flags));
meso_tgn3[1]=pma[7][0]*pavgm[7]*(1.0+flags.sw[22]*glob7s(pma[7], Input, flags)) *meso_tn3[4]*meso_tn3[4]/(pow((pma[6][0]*pavgm[6]),2.0));
#/* LINEAR TRANSITION TO FULL MIXING BELOW zn2[0] */
dmc=0;
if (Input.alt>zmix):
dmc = 1.0 - (zn2[0]-Input.alt)/(zn2[0] - zmix);
dz28=soutput.d[2];
#/**** N2 density ****/