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nrlmsise-00.c
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nrlmsise-00.c
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/* -------------------------------------------------------------------- */
/* --------- 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.
*/
/* ------------------------------------------------------------------- */
/* ------------------------------ INCLUDES --------------------------- */
/* ------------------------------------------------------------------- */
#include "nrlmsise-00.h" /* header for nrlmsise-00.h */
#include <math.h> /* maths functions */
#include <stdio.h> /* for error messages. TBD: remove this */
#include <stdlib.h> /* for malloc/free */
/* ------------------------------------------------------------------- */
/* ------------------------- SHARED VARIABLES ------------------------ */
/* ------------------------------------------------------------------- */
/* PARMB */
static double gsurf;
static double re;
/* GTS3C */
static double dd;
/* DMIX */
static double dm04, dm16, dm28, dm32, dm40, dm01, dm14;
/* MESO7 */
static double meso_tn1[5];
static double meso_tn2[4];
static double meso_tn3[5];
static double meso_tgn1[2];
static double meso_tgn2[2];
static double meso_tgn3[2];
/* POWER7 */
extern double pt[150];
extern double pd[9][150];
extern double ps[150];
extern double pdl[2][25];
extern double ptl[4][100];
extern double pma[10][100];
extern double sam[100];
/* LOWER7 */
extern double ptm[10];
extern double pdm[8][10];
extern double pavgm[10];
/* LPOLY */
static double dfa;
static double plg[4][9];
static double ctloc, stloc;
static double c2tloc, s2tloc;
static double s3tloc, c3tloc;
static double apdf, apt[4];
/* ------------------------------------------------------------------- */
/* ------------------------------ TSELEC ----------------------------- */
/* ------------------------------------------------------------------- */
void tselec(struct nrlmsise_flags *flags) {
int i;
for (i=0;i<24;i++) {
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];
}
}
}
/* ------------------------------------------------------------------- */
/* ------------------------------ GLATF ------------------------------ */
/* ------------------------------------------------------------------- */
void glatf(double lat, double *gv, double *reff) {
double dgtr = 1.74533E-2;
double c2;
c2 = cos(2.0*dgtr*lat);
*gv = 980.616 * (1.0 - 0.0026373 * c2);
*reff = 2.0 * (*gv) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5;
}
/* ------------------------------------------------------------------- */
/* ------------------------------ CCOR ------------------------------- */
/* ------------------------------------------------------------------- */
double ccor(double alt, double r, double h1, double zh) {
/* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
* ALT - altitude
* R - target ratio
* H1 - transition scale length
* ZH - altitude of 1/2 R
*/
double e;
double ex;
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 ------------------------------- */
/* ------------------------------------------------------------------- */
double ccor2(double alt, double r, double h1, double zh, double 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 ?
*/
double e1, e2;
double ex1, ex2;
double ccor2v;
e1 = (alt - zh) / h1;
e2 = (alt - zh) / h2;
if ((e1 > 70) || (e2 > 70))
return exp(0);
if ((e1 < -70) && (e2 < -70))
return exp(r);
ex1 = exp(e1);
ex2 = exp(e2);
ccor2v = r / (1.0 + 0.5 * (ex1 + ex2));
return exp(ccor2v);
}
/* ------------------------------------------------------------------- */
/* ------------------------------- SCALH ----------------------------- */
/* ------------------------------------------------------------------- */
double scalh(double alt, double xm, double temp) {
double g;
double rgas=831.4;
g = gsurf / (pow((1.0 + alt/re),2.0));
g = rgas * temp / (g * xm);
return g;
}
/* ------------------------------------------------------------------- */
/* -------------------------------- DNET ----------------------------- */
/* ------------------------------------------------------------------- */
double dnet (double dd, double dm, double zhm, double xmm, double 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
*/
double a;
double ylog;
a = zhm / (xmm-xm);
if (!((dm>0) && (dd>0))) {
printf("dnet log error %e %e %e\n",dm,dd,xm);
if ((dd==0) && (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 ---------------------------- */
/* ------------------------------------------------------------------- */
void splini (double *xa, double *ya, double *y2a, int n, double x, double *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
*/
double yi=0;
int klo=0;
int khi=1;
double xx, h, a, b, a2, b2;
while ((x>xa[klo]) && (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++;
khi++;
}
*y = yi;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- SPLINT ---------------------------- */
/* ------------------------------------------------------------------- */
void splint (double *xa, double *ya, double *y2a, int n, double x, double *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
*/
int klo=0;
int khi=n-1;
int k;
double h;
double a, b, yi;
while ((khi-klo)>1) {
k=(khi+klo)/2;
if (xa[k]>x)
khi=k;
else
klo=k;
}
h = xa[khi] - xa[klo];
if (h==0.0)
printf("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 = yi;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- SPLINE ---------------------------- */
/* ------------------------------------------------------------------- */
void spline (double *x, double *y, int n, double yp1, double ypn, double *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
*/
double *u;
double sig, p, qn, un;
int i, k;
u=malloc(sizeof(double)*n);
if (u==NULL) {
printf("Out Of Memory in spline - ERROR");
return;
}
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=1;i<(n-1);i++) {
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);
for (k=n-2;k>=0;k--)
y2[k] = y2[k] * y2[k+1] + u[k];
free(u);
}
/* ------------------------------------------------------------------- */
/* ------------------------------- DENSM ----------------------------- */
/* ------------------------------------------------------------------- */
__inline_double zeta(double zz, double zl) {
return ((zz-zl)*(re+zl)/(re+zz));
}
double densm (double alt, double d0, double xm, double *tz, int mn3, double *zn3, double *tn3, double *tgn3, int mn2, double *zn2, double *tn2, double *tgn2) {
/* Calculate Temperature and Density Profiles for lower atmos. */
double xs[10], ys[10], y2out[10];
double rgas = 831.4;
double z, z1, z2, t1, t2, zg, zgdif;
double yd1, yd2;
double x, y, yi;
double expl, gamm, glb;
double densm_tmp;
int mn;
int k;
densm_tmp=d0;
if (alt>zn2[0]) {
if (xm==0.0)
return *tz;
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=0;k<mn;k++) {
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+z2)/(re+z1)),2.0));
/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out);
x = zg/zgdif;
splint (xs, ys, y2out, mn, x, &y);
/* temperature at altitude */
*tz = 1.0 / y;
if (xm!=0.0) {
/* calaculate stratosphere / mesospehere density */
glb = gsurf / (pow((1.0 + z1/re),2.0));
gamm = xm * glb * zgdif / rgas;
/* Integrate temperature profile */
splini(xs, ys, y2out, mn, x, &yi);
expl=gamm*yi;
if (expl>50.0)
expl=50.0;
/* Density at altitude */
densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
}
if (alt>zn3[0]) {
if (xm==0.0)
return *tz;
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=0;k<mn;k++) {
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+z2)/(re+z1)),2.0));
/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out);
x = zg/zgdif;
splint (xs, ys, y2out, mn, x, &y);
/* temperature at altitude */
*tz = 1.0 / y;
if (xm!=0.0) {
/* calaculate tropospheric / stratosphere density */
glb = gsurf / (pow((1.0 + z1/re),2.0));
gamm = xm * glb * zgdif / rgas;
/* Integrate temperature profile */
splini(xs, ys, y2out, mn, x, &yi);
expl=gamm*yi;
if (expl>50.0)
expl=50.0;
/* Density at altitude */
densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
}
if (xm==0.0)
return *tz;
else
return densm_tmp;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- DENSU ----------------------------- */
/* ------------------------------------------------------------------- */
double densu (double alt, double dlb, double tinf, double tlb, double xm, double alpha, double *tz, double zlb, double s2, int mn1, double *zn1, double *tn1, double *tgn1) {
/* Calculate Temperature and Density Profiles for MSIS models
* New lower thermo polynomial
*/
double yd2, yd1, x, y;
double rgas=831.4;
double densu_temp=1.0;
double za, z, zg2, tt, ta;
double dta, z1, z2, t1, t2, zg, zgdif;
int mn;
int k;
double glb;
double expl;
double yi;
double densa;
double gamma, gamm;
double xs[5], ys[5], y2out[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 = tt;
densu_temp = *tz;
if (alt<za) {
/* calculate temperature below ZA
* temperature gradient at ZA from Bates profile */
dta = (tinf - ta) * s2 * pow(((re+zlb)/(re+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=0;k<mn;k++) {
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+z2)/(re+z1)),2.0);
/* calculate spline coefficients */
spline (xs, ys, mn, yd1, yd2, y2out);
x = zg / zgdif;
splint (xs, ys, y2out, mn, x, &y);
/* temperature at altitude */
*tz = 1.0 / y;
densu_temp = *tz;
}
if (xm==0)
return densu_temp;
/* calculate density above za */
glb = gsurf / pow((1.0 + zlb/re),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 / pow((1.0 + z1/re),2.0);
gamm = xm * glb * zgdif / rgas;
/* integrate spline temperatures */
splini (xs, ys, y2out, mn, x, &yi);
expl = gamm * yi;
if (expl>50.0)
expl=50.0;
if (*tz<=0)
expl=50.0;
/* density at altitude */
densu_temp = densu_temp * pow ((t1 / *tz),(1.0 + alpha)) * exp(-expl);
return densu_temp;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- GLOBE7 ---------------------------- */
/* ------------------------------------------------------------------- */
/* 3hr Magnetic activity functions */
/* Eq. A24d */
__inline_double g0(double a, double *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 */
__inline_double sumex(double ex) {
return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5));
}
/* Eq. A24a */
__inline_double sg0(double ex, double *p, double *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);
}
double globe7(double *p, struct nrlmsise_input *input, struct nrlmsise_flags *flags) {
/* CALCULATE G(L) FUNCTION
* Upper Thermosphere Parameters */
double t[15];
int i,j;
int sw9=1;
double apd;
double xlong;
double tloc;
double c, s, c2, c4, s2;
double sr = 7.2722E-5;
double dgtr = 1.74533E-2;
double dr = 1.72142E-2;
double hr = 0.2618;
double cd32, cd18, cd14, cd39;
double p32, p18, p14, p39;
double df;
double f1, f2;
double tinf;
struct ap_array *ap;
tloc=input->lst;
for (j=0;j<14;j++)
t[j]=0;
if (flags->sw[9]>0)
sw9=1;
else if (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 (!(((flags->sw[7]==0)&&(flags->sw[8]==0))&&(flags->sw[14]==0))) {
stloc = sin(hr*tloc);
ctloc = cos(hr*tloc);
s2tloc = sin(2.0*hr*tloc);
c2tloc = cos(2.0*hr*tloc);
s3tloc = sin(3.0*hr*tloc);
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;
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]) {
double t71, t72;
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]) {
double t81, t82;
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) {
double exp1;
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 {
double p44, p45;
apd=input->ap-4.0;
p44=p[43];
p45=p[44];
if (p44<0)
p44 = 1.0E-5;
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])&&(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=0;i<14;i++)
tinf = tinf + abs(flags->sw[i+1])*t[i];
return tinf;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- GLOB7S ---------------------------- */
/* ------------------------------------------------------------------- */
double glob7s(double *p, struct nrlmsise_input *input, struct nrlmsise_flags *flags) {
/* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99
*/
double pset=2.0;
double t[14];
double tt;
double cd32, cd18, cd14, cd39;
double p32, p18, p14, p39;
int i,j;
double dr=1.72142E-2;
double 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=0;j<14;j++)
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]) {
double t71, t72;
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]) {
double t81, t82;
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 (!((flags->sw[10]==0) || (flags->sw[11]==0) || (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=0;i<14;i++)
tt+=abs(flags->sw[i+1])*t[i];
return tt;
}
/* ------------------------------------------------------------------- */
/* ------------------------------- GTD7 ------------------------------ */
/* ------------------------------------------------------------------- */
void gtd7(struct nrlmsise_input *input, struct nrlmsise_flags *flags, struct nrlmsise_output *output) {
double xlat;
double xmm;
int mn3 = 5;
double zn3[5]={32.5,20.0,15.0,10.0,0.0};
int mn2 = 4;
double zn2[4]={72.5,55.0,45.0,32.5};
double altt;
double zmix=62.5;
double tmp;
double dm28m;
double tz;
double dmc;
double dmr;
double dz28;
struct nrlmsise_output soutput;
int i;
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=0;i<9;i++)
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
*/