JURASSIC
Functions
jurassic.c File Reference

JURASSIC library definitions. More...

#include "jurassic.h"

Go to the source code of this file.

Functions

void analyze_avk (const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const int *iqa, const int *ipa, const gsl_matrix *avk)
 Analyze averaging kernel (AVK) matrix for retrieval diagnostics. More...
 
void analyze_avk_quantity (const gsl_matrix *avk, const int iq, const int *ipa, const size_t *n0, const size_t *n1, double *cont, double *res)
 Analyze averaging kernel submatrix for a specific retrieved quantity. More...
 
size_t atm2x (const ctl_t *ctl, const atm_t *atm, gsl_vector *x, int *iqa, int *ipa)
 Convert atmospheric data to state vector elements. More...
 
void atm2x_help (const double value, const int value_iqa, const int value_ip, gsl_vector *x, int *iqa, int *ipa, size_t *n)
 Append a single atmospheric value to the state vector. More...
 
void cart2geo (const double *x, double *z, double *lon, double *lat)
 Converts Cartesian coordinates to geographic coordinates. More...
 
void climatology (const ctl_t *ctl, atm_t *atm)
 Initializes atmospheric climatology profiles. More...
 
double cos_sza (const double sec, const double lon, const double lat)
 Calculates the cosine of the solar zenith angle. More...
 
double cost_function (const gsl_vector *dx, const gsl_vector *dy, const gsl_matrix *s_a_inv, const gsl_vector *sig_eps_inv)
 Compute the normalized quadratic cost function for optimal estimation. More...
 
double ctmco2 (const double nu, const double p, const double t, const double u)
 Compute carbon dioxide continuum (optical depth). More...
 
double ctmh2o (const double nu, const double p, const double t, const double q, const double u)
 Compute water vapor continuum (optical depth). More...
 
double ctmn2 (const double nu, const double p, const double t)
 Compute N₂ collision-induced absorption coefficient. More...
 
double ctmo2 (const double nu, const double p, const double t)
 Compute O₂ collision-induced absorption coefficient. More...
 
void copy_atm (const ctl_t *ctl, atm_t *atm_dest, const atm_t *atm_src, const int init)
 Copy or initialize atmospheric profile data. More...
 
void copy_obs (const ctl_t *ctl, obs_t *obs_dest, const obs_t *obs_src, const int init)
 Copy or initialize observation geometry and radiance data. More...
 
void day2doy (int year, int mon, int day, int *doy)
 Convert a calendar date to day-of-year. More...
 
void doy2day (int year, int doy, int *mon, int *day)
 Convert a day-of-year value to a calendar date. More...
 
int find_emitter (const ctl_t *ctl, const char *emitter)
 Find gas species index by name. More...
 
void formod (const ctl_t *ctl, const tbl_t *tbl, atm_t *atm, obs_t *obs)
 Execute the selected forward model. More...
 
void formod_continua (const ctl_t *ctl, const los_t *los, const int ip, double *beta)
 Compute total extinction including gaseous continua. More...
 
void formod_fov (const ctl_t *ctl, obs_t *obs)
 Apply field-of-view (FOV) convolution to modeled radiances. More...
 
void formod_pencil (const ctl_t *ctl, const tbl_t *tbl, const atm_t *atm, obs_t *obs, const int ir)
 Compute line-of-sight radiances using the pencil-beam forward model. More...
 
void formod_rfm (const ctl_t *ctl, const tbl_t *tbl, const atm_t *atm, obs_t *obs)
 Forward-model radiance and transmittance with the Reference Forward Model (RFM). More...
 
void formod_srcfunc (const ctl_t *ctl, const tbl_t *tbl, const double t, double *src)
 Interpolate the source function (Planck radiance) at a given temperature. More...
 
void geo2cart (const double z, const double lon, const double lat, double *x)
 Converts geographic coordinates (longitude, latitude, altitude) to Cartesian coordinates. More...
 
void hydrostatic (const ctl_t *ctl, atm_t *atm)
 Adjust pressure profile using the hydrostatic equation. More...
 
void idx2name (const ctl_t *ctl, const int idx, char *quantity)
 Convert a quantity index to a descriptive name string. More...
 
void init_srcfunc (const ctl_t *ctl, tbl_t *tbl)
 Initialize source function lookup tables from emissivity data. More...
 
void intpol_atm (const ctl_t *ctl, const atm_t *atm, const double z, double *p, double *t, double *q, double *k)
 Interpolate atmospheric state variables at a given altitude. More...
 
void intpol_tbl_cga (const ctl_t *ctl, const tbl_t *tbl, const los_t *los, const int ip, double tau_path[ND][NG], double tau_seg[ND])
 Interpolate emissivities and transmittances using the Curtis–Godson approximation (CGA). More...
 
void intpol_tbl_ega (const ctl_t *ctl, const tbl_t *tbl, const los_t *los, const int ip, double tau_path[ND][NG], double tau_seg[ND])
 Interpolate emissivities and transmittances using the Emissivity Growth Approximation (EGA). More...
 
double intpol_tbl_eps (const tbl_t *tbl, const int ig, const int id, const int ip, const int it, const double logu)
 Interpolate gas emissivity as a function of column amount. More...
 
double intpol_tbl_u (const tbl_t *tbl, const int ig, const int id, const int ip, const int it, const double logeps)
 Interpolate column amount as a function of emissivity. More...
 
void jsec2time (const double jsec, int *year, int *mon, int *day, int *hour, int *min, int *sec, double *remain)
 Converts Julian seconds to calendar date and time components. More...
 
void kernel (const ctl_t *ctl, const tbl_t *tbl, atm_t *atm, obs_t *obs, gsl_matrix *k)
 Compute the Jacobian (kernel) matrix by finite differences. More...
 
int locate_irr (const double *xx, const int n, const double x)
 Locate index for interpolation on an irregular grid. More...
 
int locate_reg (const double *xx, const int n, const double x)
 Locate index for interpolation on a regular (uniform) grid. More...
 
int locate_tbl (const float *xx, const int n, const double x)
 Locate index for interpolation within emissivity table grids. More...
 
void matrix_invert (gsl_matrix *a)
 Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices. More...
 
void matrix_product (const gsl_matrix *a, const gsl_vector *b, const int transpose, gsl_matrix *c)
 Compute structured matrix products of the form \(A^T B A\) or \(A B A^T\). More...
 
size_t obs2y (const ctl_t *ctl, const obs_t *obs, gsl_vector *y, int *ida, int *ira)
 Convert observation radiances into a measurement vector. More...
 
void optimal_estimation (ret_t *ret, ctl_t *ctl, tbl_t *tbl, obs_t *obs_meas, obs_t *obs_i, atm_t *atm_apr, atm_t *atm_i, double *chisq)
 Perform optimal estimation retrieval using Levenberg–Marquardt minimization. More...
 
void raytrace (const ctl_t *ctl, const atm_t *atm, obs_t *obs, los_t *los, const int ir)
 Perform line-of-sight (LOS) ray tracing through the atmosphere. More...
 
void read_atm (const char *dirname, const char *filename, const ctl_t *ctl, atm_t *atm)
 Read atmospheric input data from a file. More...
 
void read_atm_asc (const char *filename, const ctl_t *ctl, atm_t *atm)
 Read atmospheric data in ASCII format. More...
 
void read_atm_bin (const char *filename, const ctl_t *ctl, atm_t *atm)
 Read atmospheric data in binary format. More...
 
void read_atm_nc (const char *filename, const ctl_t *ctl, atm_t *atm, int profile)
 Read one atmospheric profile from a netCDF file. More...
 
void read_ctl (int argc, char *argv[], ctl_t *ctl)
 Read model control parameters from command-line and configuration input. More...
 
void read_matrix (const char *dirname, const char *filename, gsl_matrix *matrix)
 Read a numerical matrix from an ASCII file. More...
 
void read_obs (const char *dirname, const char *filename, const ctl_t *ctl, obs_t *obs)
 Read observation data from an input file. More...
 
void read_obs_asc (const char *filename, const ctl_t *ctl, obs_t *obs)
 Read ASCII-formatted observation data from a file. More...
 
void read_obs_bin (const char *filename, const ctl_t *ctl, obs_t *obs)
 Read binary-formatted observation data from a file. More...
 
void read_obs_nc (const char *filename, const ctl_t *ctl, obs_t *obs, const int profile)
 Read one observation profile from a NetCDF file. More...
 
double read_obs_rfm (const char *basename, const double z, const double *nu, const double *f, const int n)
 Read and spectrally convolve an RFM output spectrum. More...
 
void read_ret (int argc, char *argv[], const ctl_t *ctl, ret_t *ret)
 Read retrieval configuration and error parameters. More...
 
void read_rfm_spec (const char *filename, double *nu, double *rad, int *npts)
 Read a Reference Forward Model (RFM) ASCII spectrum. More...
 
void read_shape (const char *filename, double *x, double *y, int *n)
 Read a two-column shape function from an ASCII file. More...
 
tbl_tread_tbl (const ctl_t *ctl)
 Read emissivity lookup tables from disk. More...
 
void read_tbl_asc (const ctl_t *ctl, tbl_t *tbl, const int id, const int ig)
 Read a single ASCII emissivity lookup table. More...
 
void read_tbl_bin (const ctl_t *ctl, tbl_t *tbl, const int id, const int ig)
 Read a single compact binary emissivity lookup table. More...
 
void read_tbl_nc_channel (const ctl_t *ctl, tbl_t *tbl, int id, int ig, int ncid)
 Read one packed emissivity lookup table from an open NetCDF file. More...
 
double scan_ctl (int argc, char *argv[], const char *varname, const int arridx, const char *defvalue, char *value)
 Scan control file or command-line arguments for a configuration variable. More...
 
void set_cov_apr (const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const int *iqa, const int *ipa, gsl_matrix *s_a)
 Construct the a priori covariance matrix \(\mathbf{S_a}\) for retrieval parameters. More...
 
void set_cov_meas (const ret_t *ret, const ctl_t *ctl, const obs_t *obs, gsl_vector *sig_noise, gsl_vector *sig_formod, gsl_vector *sig_eps_inv)
 Construct measurement error standard deviations and their inverse. More...
 
void tangent_point (const los_t *los, double *tpz, double *tplon, double *tplat)
 Determine the tangent point along a line of sight (LOS). More...
 
void tbl_free (const ctl_t *ctl, tbl_t *tbl)
 Free lookup table and all internally allocated memory. More...
 
void tbl_pack (const tbl_t *tbl, int id, int ig, uint8_t *buf, size_t *bytes_used)
 Pack a lookup table into a contiguous binary buffer. More...
 
size_t tbl_packed_size (const tbl_t *tbl, int id, int ig)
 Compute required buffer size (in bytes) for tbl_pack(). More...
 
size_t tbl_unpack (tbl_t *tbl, int id, int ig, const uint8_t *buf)
 Unpack a lookup table from a contiguous binary buffer. More...
 
void time2jsec (const int year, const int mon, const int day, const int hour, const int min, const int sec, const double remain, double *jsec)
 Converts time components to seconds since January 1, 2000, 12:00:00 UTC. More...
 
void timer (const char *name, const char *file, const char *func, int line, int mode)
 Simple wall-clock timer for runtime diagnostics. More...
 
void write_atm (const char *dirname, const char *filename, const ctl_t *ctl, const atm_t *atm)
 Write atmospheric data to a file. More...
 
void write_atm_asc (const char *filename, const ctl_t *ctl, const atm_t *atm)
 Write atmospheric data to an ASCII file. More...
 
void write_atm_bin (const char *filename, const ctl_t *ctl, const atm_t *atm)
 Write atmospheric data to a binary file. More...
 
void write_atm_nc (const char *filename, const ctl_t *ctl, const atm_t *atm, int profile)
 Write one atmospheric profile to a netCDF file. More...
 
void write_atm_rfm (const char *filename, const ctl_t *ctl, const atm_t *atm)
 Write atmospheric profile in RFM-compatible format. More...
 
void write_matrix (const char *dirname, const char *filename, const ctl_t *ctl, const gsl_matrix *matrix, const atm_t *atm, const obs_t *obs, const char *rowspace, const char *colspace, const char *sort)
 Write a fully annotated matrix (e.g., Jacobian or gain matrix) to file. More...
 
void write_obs (const char *dirname, const char *filename, const ctl_t *ctl, const obs_t *obs)
 Write observation data to an output file in ASCII or binary format. More...
 
void write_obs_asc (const char *filename, const ctl_t *ctl, const obs_t *obs)
 Write observation data to an ASCII text file. More...
 
void write_obs_bin (const char *filename, const ctl_t *ctl, const obs_t *obs)
 Write observation data in binary format to a file. More...
 
void write_obs_nc (const char *filename, const ctl_t *ctl, const obs_t *obs, const int profile)
 Write one observation profile to a NetCDF file. More...
 
void write_shape (const char *filename, const double *x, const double *y, const int n)
 Write tabulated shape function data to a text file. More...
 
void write_stddev (const char *quantity, const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const gsl_matrix *s)
 Write retrieval standard deviation profiles to disk. More...
 
void write_tbl (const ctl_t *ctl, const tbl_t *tbl)
 Write emissivity lookup tables to disk. More...
 
void write_tbl_asc (const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
 Write one emissivity lookup table in human-readable ASCII format. More...
 
void write_tbl_bin (const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
 Write one emissivity lookup table in compact binary format. More...
 
void write_tbl_nc (const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
 Write one packed lookup table to a NetCDF file. More...
 
void x2atm (const ctl_t *ctl, const gsl_vector *x, atm_t *atm)
 Map retrieval state vector back to atmospheric structure. More...
 
void x2atm_help (double *value, const gsl_vector *x, size_t *n)
 Helper function to extract a single value from the retrieval state vector. More...
 
void y2obs (const ctl_t *ctl, const gsl_vector *y, obs_t *obs)
 Copy elements from the measurement vector y into the observation structure. More...
 

Detailed Description

JURASSIC library definitions.

Definition in file jurassic.c.

Function Documentation

◆ analyze_avk()

void analyze_avk ( const ret_t ret,
const ctl_t ctl,
const atm_t atm,
const int *  iqa,
const int *  ipa,
const gsl_matrix *  avk 
)

Analyze averaging kernel (AVK) matrix for retrieval diagnostics.

Decomposes and evaluates the averaging kernel matrix \(\mathbf{A}\) to quantify the retrieval sensitivity and vertical resolution for each retrieved quantity (pressure, temperature, trace gases, extinction, etc.). The results are written to diagnostic atmospheric files for visualization.

Parameters
[in]retRetrieval control and configuration structure (ret_t).
[in]ctlGlobal control structure (ctl_t) defining retrieval setup and quantities.
[in]atmRetrieved atmospheric state structure (atm_t).
[in]iqaArray mapping state vector indices to physical quantities (e.g., IDXP, IDXT, IDXQ(...)).
[in]ipaArray mapping state vector indices to atmospheric grid points.
[in]avkAveraging kernel matrix \(\mathbf{A}\) (gsl_matrix, n×n).

The averaging kernel matrix \(\mathbf{A}\) describes the sensitivity of the retrieved state \(\hat{x}\) to the true state \(x\):

\[ \hat{x} - x_a = \mathbf{A} (x - x_a) \]

where \(x_a\) is the a priori state.
This function separates and evaluates:

  • Contribution profiles: diagonal dominance or total response (sensitivity).
  • Resolution profiles: width or spread of the averaging kernels.

Internally, this function:

  1. Identifies submatrices of \(\mathbf{A}\) corresponding to each physical quantity (pressure, temperature, VMRs, extinction, clouds, surface).
  2. Calls analyze_avk_quantity() for each retrieved parameter type to compute quantitative measures of contribution and resolution.
  3. Writes the results as atmospheric profiles:
    • atm_cont.tab — contribution functions (sensitivity).
    • atm_res.tab — resolution functions (vertical response width).
See also
analyze_avk_quantity, write_atm, set_cov_apr, set_cov_meas
Note
  • Submatrices are identified by matching the quantity index iqa[i] to the quantity constants (e.g., IDXT, IDXQ(ig), etc.).
  • Cloud and surface quantities are treated as scalar elements.
  • Output files are written to the retrieval working directory (ret->dir).
Warning
  • The averaging kernel must be fully computed and dimensionally consistent with the state vector before calling this function.
  • File writing will overwrite existing diagnostics in ret->dir.
Author
Lars Hoffmann

Definition at line 29 of file jurassic.c.

35 {
36
37 static atm_t atm_cont, atm_res;
38
39 size_t i, n0[NQ], n1[NQ];
40
41 /* Get sizes... */
42 const size_t n = avk->size1;
43
44 /* Find sub-matrices for different quantities... */
45 for (int iq = 0; iq < NQ; iq++) {
46 n0[iq] = N;
47 for (i = 0; i < n; i++) {
48 if (iqa[i] == iq && n0[iq] == N)
49 n0[iq] = i;
50 if (iqa[i] == iq)
51 n1[iq] = i - n0[iq] + 1;
52 }
53 }
54
55 /* Initialize... */
56 copy_atm(ctl, &atm_cont, atm, 1);
57 copy_atm(ctl, &atm_res, atm, 1);
58
59 /* Analyze quantities... */
60 analyze_avk_quantity(avk, IDXP, ipa, n0, n1, atm_cont.p, atm_res.p);
61 analyze_avk_quantity(avk, IDXT, ipa, n0, n1, atm_cont.t, atm_res.t);
62 for (int ig = 0; ig < ctl->ng; ig++)
63 analyze_avk_quantity(avk, IDXQ(ig), ipa, n0, n1,
64 atm_cont.q[ig], atm_res.q[ig]);
65 for (int iw = 0; iw < ctl->nw; iw++)
66 analyze_avk_quantity(avk, IDXK(iw), ipa, n0, n1,
67 atm_cont.k[iw], atm_res.k[iw]);
68 analyze_avk_quantity(avk, IDXCLZ, ipa, n0, n1, &atm_cont.clz, &atm_res.clz);
69 analyze_avk_quantity(avk, IDXCLDZ, ipa, n0, n1, &atm_cont.cldz,
70 &atm_res.cldz);
71 for (int icl = 0; icl < ctl->ncl; icl++)
72 analyze_avk_quantity(avk, IDXCLK(icl), ipa, n0, n1,
73 &atm_cont.clk[icl], &atm_res.clk[icl]);
74 analyze_avk_quantity(avk, IDXSFT, ipa, n0, n1, &atm_cont.sft, &atm_res.sft);
75 for (int isf = 0; isf < ctl->nsf; isf++)
76 analyze_avk_quantity(avk, IDXSFEPS(isf), ipa, n0, n1,
77 &atm_cont.sfeps[isf], &atm_res.sfeps[isf]);
78
79 /* Write results to disk... */
80 write_atm(ret->dir, "atm_cont.tab", ctl, &atm_cont);
81 write_atm(ret->dir, "atm_res.tab", ctl, &atm_res);
82}
void write_atm(const char *dirname, const char *filename, const ctl_t *ctl, const atm_t *atm)
Write atmospheric data to a file.
Definition: jurassic.c:6953
void analyze_avk_quantity(const gsl_matrix *avk, const int iq, const int *ipa, const size_t *n0, const size_t *n1, double *cont, double *res)
Analyze averaging kernel submatrix for a specific retrieved quantity.
Definition: jurassic.c:86
void copy_atm(const ctl_t *ctl, atm_t *atm_dest, const atm_t *atm_src, const int init)
Copy or initialize atmospheric profile data.
Definition: jurassic.c:3256
#define N
Maximum size of state vector.
Definition: jurassic.h:278
#define IDXCLZ
Index for cloud layer height.
Definition: jurassic.h:343
#define IDXCLDZ
Index for cloud layer depth.
Definition: jurassic.h:346
#define IDXK(iw)
Indices for extinction.
Definition: jurassic.h:340
#define NQ
Maximum number of quantities.
Definition: jurassic.h:283
#define IDXSFT
Index for surface layer temperature.
Definition: jurassic.h:352
#define IDXSFEPS(isf)
Indices for surface layer emissivity.
Definition: jurassic.h:355
#define IDXCLK(icl)
Indices for cloud layer extinction.
Definition: jurassic.h:349
#define IDXP
Index for pressure.
Definition: jurassic.h:331
#define IDXQ(ig)
Indices for volume mixing ratios.
Definition: jurassic.h:337
#define IDXT
Index for temperature.
Definition: jurassic.h:334
Atmospheric profile data.
Definition: jurassic.h:1243
double sfeps[NSF]
Surface emissivity.
Definition: jurassic.h:1285
double k[NW][NP]
Extinction [km^-1].
Definition: jurassic.h:1270
double t[NP]
Temperature [K].
Definition: jurassic.h:1264
double clz
Cloud layer height [km].
Definition: jurassic.h:1273
double cldz
Cloud layer depth [km].
Definition: jurassic.h:1276
double sft
Surface temperature [K].
Definition: jurassic.h:1282
double clk[NCL]
Cloud layer extinction [km^-1].
Definition: jurassic.h:1279
double q[NG][NP]
Volume mixing ratio [ppv].
Definition: jurassic.h:1267
double p[NP]
Pressure [hPa].
Definition: jurassic.h:1261
int nw
Number of spectral windows.
Definition: jurassic.h:1323
int ng
Number of emitters.
Definition: jurassic.h:1299
int ncl
Number of cloud layer spectral grid points.
Definition: jurassic.h:1329
int nsf
Number of surface layer spectral grid points.
Definition: jurassic.h:1335
char dir[LEN]
Working directory.
Definition: jurassic.h:1577
Here is the call graph for this function:

◆ analyze_avk_quantity()

void analyze_avk_quantity ( const gsl_matrix *  avk,
const int  iq,
const int *  ipa,
const size_t *  n0,
const size_t *  n1,
double *  cont,
double *  res 
)

Analyze averaging kernel submatrix for a specific retrieved quantity.

Computes the contribution (sensitivity) and resolution (information density) profiles for a given physical quantity from its corresponding submatrix of the full averaging kernel matrix \(\mathbf{A}\).

Parameters
[in]avkAveraging kernel matrix \(\mathbf{A}\) (gsl_matrix, n×n), describing the sensitivity of the retrieved state to the true state.
[in]iqQuantity index identifier (e.g., IDXP, IDXT, IDXQ(ig), IDXK(iw), IDXCLZ, etc.).
[in]ipaArray mapping state vector indices to atmospheric grid indices.
[in]n0Array of starting indices for each quantity sub-block in the state vector.
[in]n1Array of lengths (number of elements) for each quantity sub-block.
[out]contArray of contribution values, representing the total sensitivity or response of the retrieval at each grid point.
[out]resArray of resolution measures, representing the vertical information density or averaging kernel width at each grid point.

For a given quantity \(q\), the function extracts its corresponding block \(\mathbf{A}_q\) from the full averaging kernel matrix and computes:

  • Contribution function

    \[ \text{cont}_i = \sum_j A_{ij}^{(q)} \]

    giving the total response of retrieved element \(i\) to perturbations in all true elements \(j\) of the same quantity.
  • Resolution (information density)

    \[ \text{res}_i = \frac{1}{A_{ii}^{(q)}} \]

    approximating the degree of vertical resolution or smoothing at level \(i\).

The results are stored in the provided arrays cont[] and res[], indexed according to the atmospheric profile index via ipa[].

See also
analyze_avk, write_atm, set_cov_apr
Note
  • Only elements associated with the specified quantity index (iq) are processed.
  • The function assumes the averaging kernel matrix is square and symmetric.
  • The contribution and resolution arrays must be preallocated to at least the number of atmospheric grid points (atm->np).
Warning
  • If the diagonal element A_ii is zero or near-zero, the corresponding resolution value may be undefined or numerically unstable.
  • Input indices n0[iq] and n1[iq] must have been computed by analyze_avk().
Author
Lars Hoffmann

Definition at line 86 of file jurassic.c.

93 {
94
95 /* Loop over state vector elements... */
96 if (n0[iq] < N)
97 for (size_t i = 0; i < n1[iq]; i++) {
98
99 /* Get area of averaging kernel... */
100 for (size_t j = 0; j < n1[iq]; j++)
101 cont[ipa[n0[iq] + i]] += gsl_matrix_get(avk, n0[iq] + i, n0[iq] + j);
102
103 /* Get information density... */
104 res[ipa[n0[iq] + i]] = 1 / gsl_matrix_get(avk, n0[iq] + i, n0[iq] + i);
105 }
106}

◆ atm2x()

size_t atm2x ( const ctl_t ctl,
const atm_t atm,
gsl_vector *  x,
int *  iqa,
int *  ipa 
)

Convert atmospheric data to state vector elements.

Extracts selected quantities from an atmospheric profile (atm_t) according to retrieval settings in ctl_t, and appends them to the state vector x. For each included quantity, the function also stores its quantity index (iqa) and profile index (ipa).

The function respects retrieval altitude limits defined in ctl (e.g., retp_zmin/zmax, rett_zmin/zmax, etc.) and includes only variables flagged for retrieval (e.g., ret_clz, ret_sft, etc.).

Parameters
[in]ctlControl settings defining retrieval configuration and limits.
[in]atmAtmospheric profile data to extract from.
[out]xGSL vector to store state-vector elements.
[out]iqaQuantity index array corresponding to elements in x.
[out]ipaProfile index array corresponding to elements in x.
Returns
Number of elements written to the state vector.
Note
Internally calls atm2x_help() to append individual values.
See also
atm_t, ctl_t, atm2x_help
Author
Lars Hoffmann

Definition at line 110 of file jurassic.c.

115 {
116
117 size_t n = 0;
118
119 /* Add pressure... */
120 for (int ip = 0; ip < atm->np; ip++)
121 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
122 atm2x_help(atm->p[ip], IDXP, ip, x, iqa, ipa, &n);
123
124 /* Add temperature... */
125 for (int ip = 0; ip < atm->np; ip++)
126 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
127 atm2x_help(atm->t[ip], IDXT, ip, x, iqa, ipa, &n);
128
129 /* Add volume mixing ratios... */
130 for (int ig = 0; ig < ctl->ng; ig++)
131 for (int ip = 0; ip < atm->np; ip++)
132 if (atm->z[ip] >= ctl->retq_zmin[ig]
133 && atm->z[ip] <= ctl->retq_zmax[ig])
134 atm2x_help(atm->q[ig][ip], IDXQ(ig), ip, x, iqa, ipa, &n);
135
136 /* Add extinction... */
137 for (int iw = 0; iw < ctl->nw; iw++)
138 for (int ip = 0; ip < atm->np; ip++)
139 if (atm->z[ip] >= ctl->retk_zmin[iw]
140 && atm->z[ip] <= ctl->retk_zmax[iw])
141 atm2x_help(atm->k[iw][ip], IDXK(iw), ip, x, iqa, ipa, &n);
142
143 /* Add cloud variables... */
144 if (ctl->ret_clz)
145 atm2x_help(atm->clz, IDXCLZ, 0, x, iqa, ipa, &n);
146 if (ctl->ret_cldz)
147 atm2x_help(atm->cldz, IDXCLDZ, 0, x, iqa, ipa, &n);
148 if (ctl->ret_clk)
149 for (int icl = 0; icl < ctl->ncl; icl++)
150 atm2x_help(atm->clk[icl], IDXCLK(icl), 0, x, iqa, ipa, &n);
151
152 /* Add surface variables... */
153 if (ctl->ret_sft)
154 atm2x_help(atm->sft, IDXSFT, 0, x, iqa, ipa, &n);
155 if (ctl->ret_sfeps)
156 for (int isf = 0; isf < ctl->nsf; isf++)
157 atm2x_help(atm->sfeps[isf], IDXSFEPS(isf), 0, x, iqa, ipa, &n);
158
159 return n;
160}
void atm2x_help(const double value, const int value_iqa, const int value_ip, gsl_vector *x, int *iqa, int *ipa, size_t *n)
Append a single atmospheric value to the state vector.
Definition: jurassic.c:164
int np
Number of data points.
Definition: jurassic.h:1246
double z[NP]
Altitude [km].
Definition: jurassic.h:1252
double retp_zmin
Minimum altitude for pressure retrieval [km].
Definition: jurassic.h:1395
double retk_zmax[NW]
Maximum altitude for extinction retrieval [km].
Definition: jurassic.h:1416
double rett_zmax
Maximum altitude for temperature retrieval [km].
Definition: jurassic.h:1404
int ret_sfeps
Retrieve surface layer emissivity (0=no, 1=yes).
Definition: jurassic.h:1431
int ret_sft
Retrieve surface layer temperature (0=no, 1=yes).
Definition: jurassic.h:1428
int ret_clz
Retrieve cloud layer height (0=no, 1=yes).
Definition: jurassic.h:1419
double retq_zmax[NG]
Maximum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1410
double retq_zmin[NG]
Minimum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1407
double rett_zmin
Minimum altitude for temperature retrieval [km].
Definition: jurassic.h:1401
double retk_zmin[NW]
Minimum altitude for extinction retrieval [km].
Definition: jurassic.h:1413
int ret_clk
Retrieve cloud layer extinction (0=no, 1=yes).
Definition: jurassic.h:1425
int ret_cldz
Retrieve cloud layer depth (0=no, 1=yes).
Definition: jurassic.h:1422
double retp_zmax
Maximum altitude for pressure retrieval [km].
Definition: jurassic.h:1398
Here is the call graph for this function:

◆ atm2x_help()

void atm2x_help ( const double  value,
const int  value_iqa,
const int  value_ip,
gsl_vector *  x,
int *  iqa,
int *  ipa,
size_t *  n 
)

Append a single atmospheric value to the state vector.

Helper routine for atm2x(). Inserts one scalar value and its corresponding quantity and profile indices into the state vector and tracking arrays, then increments the element counter.

Parameters
[in]valueValue to add to the state vector.
[in]value_iqaQuantity index (e.g., IDXP, IDXT, etc.).
[in]value_ipProfile index within the atmospheric profile.
[out]xGSL vector containing state-vector elements (may be NULL).
[out]iqaQuantity index array corresponding to x (may be NULL).
[out]ipaProfile index array corresponding to x (may be NULL).
[in,out]nCurrent number of elements in the state vector; incremented on return.
Note
This function performs no range checking and assumes valid array bounds.
See also
atm2x
Author
Lars Hoffmann

Definition at line 164 of file jurassic.c.

171 {
172
173 /* Add element to state vector... */
174 if (x != NULL)
175 gsl_vector_set(x, *n, value);
176 if (iqa != NULL)
177 iqa[*n] = value_iqa;
178 if (ipa != NULL)
179 ipa[*n] = value_ip;
180 (*n)++;
181}

◆ cart2geo()

void cart2geo ( const double *  x,
double *  z,
double *  lon,
double *  lat 
)

Converts Cartesian coordinates to geographic coordinates.

This function converts a point from Cartesian coordinates (x, y, z) to geographic coordinates (longitude, latitude, and altitude). It uses the spherical Earth approximation for the conversion.

Parameters
xPointer to an array containing the Cartesian coordinates (x, y, z) in kilometers.
zPointer to a double where the computed altitude (above the reference ellipsoid) will be stored, in kilometers.
lonPointer to a double where the computed longitude (in degrees) will be stored.
latPointer to a double where the computed latitude (in degrees) will be stored.
Author
Lars Hoffmann

Definition at line 185 of file jurassic.c.

189 {
190
191 const double radius = NORM(x);
192
193 *lat = RAD2DEG(asin(x[2] / radius));
194 *lon = RAD2DEG(atan2(x[1], x[0]));
195 *z = radius - RE;
196}
#define RE
Mean radius of Earth [km].
Definition: jurassic.h:189
#define NORM(a)
Compute the norm (magnitude) of a 3D vector.
Definition: jurassic.h:916
#define RAD2DEG(rad)
Convert radians to degrees.
Definition: jurassic.h:990

◆ climatology()

void climatology ( const ctl_t ctl,
atm_t atm 
)

Initializes atmospheric climatology profiles.

This function populates the atmospheric state (atm) with standard climatological profiles of pressure, temperature, and trace gas concentrations (e.g., H2O, CH4, CO, O3, etc.) as a function of altitude. The profiles are based on reference climatological datasets and are used for atmospheric modeling and radiative transfer calculations.

Parameters
[in]ctlControl parameters structure.
[out]atmAtmospheric state structure to be populated with climatological data.
Author
Lars Hoffmann

Definition at line 200 of file jurassic.c.

202 {
203
204 static const double z[121] = {
205 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
206 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
207 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
208 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
209 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
210 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
211 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120
212 };
213
214 static const double pre[121] = {
215 1017, 901.083, 796.45, 702.227, 617.614, 541.644, 473.437, 412.288,
216 357.603, 308.96, 265.994, 228.348, 195.619, 167.351, 143.039, 122.198,
217 104.369, 89.141, 76.1528, 65.0804, 55.641, 47.591, 40.7233, 34.8637,
218 29.8633, 25.5956, 21.9534, 18.8445, 16.1909, 13.9258, 11.9913,
219 10.34, 8.92988, 7.72454, 6.6924, 5.80701, 5.04654, 4.39238, 3.82902,
220 3.34337, 2.92413, 2.56128, 2.2464, 1.97258, 1.73384, 1.52519, 1.34242,
221 1.18197, 1.04086, 0.916546, 0.806832, 0.709875, 0.624101, 0.548176,
222 0.480974, 0.421507, 0.368904, 0.322408, 0.281386, 0.245249, 0.213465,
223 0.185549, 0.161072, 0.139644, 0.120913, 0.104568, 0.0903249, 0.0779269,
224 0.0671493, 0.0577962, 0.0496902, 0.0426736, 0.0366093, 0.0313743,
225 0.0268598, 0.0229699, 0.0196206, 0.0167399, 0.0142646, 0.0121397,
226 0.0103181, 0.00875775, 0.00742226, 0.00628076, 0.00530519, 0.00447183,
227 0.00376124, 0.00315632, 0.00264248, 0.00220738, 0.00184003, 0.00153095,
228 0.00127204, 0.00105608, 0.000876652, 0.00072798, 0.00060492,
229 0.000503201, 0.000419226, 0.000349896, 0.000292659, 0.000245421,
230 0.000206394, 0.000174125, 0.000147441, 0.000125333, 0.000106985,
231 9.173e-05, 7.90172e-05, 6.84172e-05, 5.95574e-05, 5.21183e-05,
232 4.58348e-05, 4.05127e-05, 3.59987e-05, 3.21583e-05, 2.88718e-05,
233 2.60322e-05, 2.35687e-05, 2.14263e-05, 1.95489e-05
234 };
235
236 static const double tem[121] = {
237 285.14, 279.34, 273.91, 268.3, 263.24, 256.55, 250.2, 242.82, 236.17,
238 229.87, 225.04, 221.19, 218.85, 217.19, 216.2, 215.68, 215.42, 215.55,
239 215.92, 216.4, 216.93, 217.45, 218, 218.68, 219.39, 220.25, 221.3,
240 222.41, 223.88, 225.42, 227.2, 229.52, 231.89, 234.51, 236.85, 239.42,
241 241.94, 244.57, 247.36, 250.32, 253.34, 255.82, 258.27, 260.39,
242 262.03, 263.45, 264.2, 264.78, 264.67, 264.38, 263.24, 262.03, 260.02,
243 258.09, 255.63, 253.28, 250.43, 247.81, 245.26, 242.77, 240.38,
244 237.94, 235.79, 233.53, 231.5, 229.53, 227.6, 225.62, 223.77, 222.06,
245 220.33, 218.69, 217.18, 215.64, 214.13, 212.52, 210.86, 209.25,
246 207.49, 205.81, 204.11, 202.22, 200.32, 198.39, 195.92, 193.46,
247 190.94, 188.31, 185.82, 183.57, 181.43, 179.74, 178.64, 178.1, 178.25,
248 178.7, 179.41, 180.67, 182.31, 184.18, 186.6, 189.53, 192.66, 196.54,
249 201.13, 205.93, 211.73, 217.86, 225, 233.53, 242.57, 252.14, 261.48,
250 272.97, 285.26, 299.12, 312.2, 324.17, 338.34, 352.56, 365.28
251 };
252
253 static const double c2h2[121] = {
254 1.352e-09, 2.83e-10, 1.269e-10, 6.926e-11, 4.346e-11, 2.909e-11,
255 2.014e-11, 1.363e-11, 8.71e-12, 5.237e-12, 2.718e-12, 1.375e-12,
256 5.786e-13, 2.16e-13, 7.317e-14, 2.551e-14, 1.055e-14, 4.758e-15,
257 2.056e-15, 7.703e-16, 2.82e-16, 1.035e-16, 4.382e-17, 1.946e-17,
258 9.638e-18, 5.2e-18, 2.811e-18, 1.494e-18, 7.925e-19, 4.213e-19,
259 1.998e-19, 8.78e-20, 3.877e-20, 1.728e-20, 7.743e-21, 3.536e-21,
260 1.623e-21, 7.508e-22, 3.508e-22, 1.65e-22, 7.837e-23, 3.733e-23,
261 1.808e-23, 8.77e-24, 4.285e-24, 2.095e-24, 1.032e-24, 5.082e-25,
262 2.506e-25, 1.236e-25, 6.088e-26, 2.996e-26, 1.465e-26, 0, 0, 0,
263 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
264 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
265 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
266 };
267
268 static const double c2h6[121] = {
269 2.667e-09, 2.02e-09, 1.658e-09, 1.404e-09, 1.234e-09, 1.109e-09,
270 1.012e-09, 9.262e-10, 8.472e-10, 7.71e-10, 6.932e-10, 6.216e-10,
271 5.503e-10, 4.87e-10, 4.342e-10, 3.861e-10, 3.347e-10, 2.772e-10,
272 2.209e-10, 1.672e-10, 1.197e-10, 8.536e-11, 5.783e-11, 3.846e-11,
273 2.495e-11, 1.592e-11, 1.017e-11, 6.327e-12, 3.895e-12, 2.403e-12,
274 1.416e-12, 8.101e-13, 4.649e-13, 2.686e-13, 1.557e-13, 9.14e-14,
275 5.386e-14, 3.19e-14, 1.903e-14, 1.14e-14, 6.875e-15, 4.154e-15,
276 2.538e-15, 1.553e-15, 9.548e-16, 5.872e-16, 3.63e-16, 2.244e-16,
277 1.388e-16, 8.587e-17, 5.308e-17, 3.279e-17, 2.017e-17, 1.238e-17,
278 7.542e-18, 4.585e-18, 2.776e-18, 1.671e-18, 9.985e-19, 5.937e-19,
279 3.518e-19, 2.07e-19, 1.215e-19, 7.06e-20, 4.097e-20, 2.37e-20,
280 1.363e-20, 7.802e-21, 4.441e-21, 2.523e-21, 1.424e-21, 8.015e-22,
281 4.497e-22, 2.505e-22, 1.391e-22, 7.691e-23, 4.238e-23, 2.331e-23,
282 1.274e-23, 6.929e-24, 3.752e-24, 2.02e-24, 1.083e-24, 5.774e-25,
283 3.041e-25, 1.593e-25, 8.308e-26, 4.299e-26, 2.195e-26, 1.112e-26,
284 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
285 0, 0, 0, 0, 0, 0, 0, 0, 0
286 };
287
288 static const double ccl4[121] = {
289 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10,
290 1.075e-10, 1.075e-10, 1.075e-10, 1.06e-10, 1.024e-10, 9.69e-11,
291 8.93e-11, 8.078e-11, 7.213e-11, 6.307e-11, 5.383e-11, 4.49e-11,
292 3.609e-11, 2.705e-11, 1.935e-11, 1.385e-11, 8.35e-12, 5.485e-12,
293 3.853e-12, 2.22e-12, 5.875e-13, 3.445e-13, 1.015e-13, 6.075e-14,
294 4.383e-14, 2.692e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
295 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
296 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
297 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
298 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
299 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
300 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
301 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
302 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
303 1e-14, 1e-14, 1e-14
304 };
305
306 static const double ch3oh[121] = {
307 5.01099e-10, 5.01099e-10, 5.01099e-10, 5.01099e-10, 5.01099e-10,
308 5.01099e-10, 5.50999e-10, 5.7313e-10, 5.75638e-10, 5.4086e-10,
309 4.77601e-10, 4.12907e-10, 3.6274e-10, 3.26448e-10, 2.9706e-10,
310 2.27698e-10, 1.96999e-10, 1.66212e-10, 1.17941e-10, 1.19844e-10,
311 1.11211e-10, 1.02714e-10, 9.86138e-11, 9.45133e-11, 9.04127e-11,
312 8.05243e-11, 6.3678e-11, 4.68317e-11, 4.00618e-11, 3.95786e-11,
313 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
314 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
315 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
316 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
317 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
318 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
319 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
320 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
321 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
322 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
323 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
324 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
325 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
326 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
327 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
328 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
329 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
330 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
331 3.95786e-11
332 };
333
334 static const double ch4[121] = {
335 1.864e-06, 1.835e-06, 1.819e-06, 1.805e-06, 1.796e-06, 1.788e-06,
336 1.782e-06, 1.776e-06, 1.769e-06, 1.761e-06, 1.749e-06, 1.734e-06,
337 1.716e-06, 1.692e-06, 1.654e-06, 1.61e-06, 1.567e-06, 1.502e-06,
338 1.433e-06, 1.371e-06, 1.323e-06, 1.277e-06, 1.232e-06, 1.188e-06,
339 1.147e-06, 1.108e-06, 1.07e-06, 1.027e-06, 9.854e-07, 9.416e-07,
340 8.933e-07, 8.478e-07, 7.988e-07, 7.515e-07, 7.07e-07, 6.64e-07,
341 6.239e-07, 5.864e-07, 5.512e-07, 5.184e-07, 4.87e-07, 4.571e-07,
342 4.296e-07, 4.04e-07, 3.802e-07, 3.578e-07, 3.383e-07, 3.203e-07,
343 3.032e-07, 2.889e-07, 2.76e-07, 2.635e-07, 2.519e-07, 2.409e-07,
344 2.302e-07, 2.219e-07, 2.144e-07, 2.071e-07, 1.999e-07, 1.93e-07,
345 1.862e-07, 1.795e-07, 1.731e-07, 1.668e-07, 1.607e-07, 1.548e-07,
346 1.49e-07, 1.434e-07, 1.38e-07, 1.328e-07, 1.277e-07, 1.227e-07,
347 1.18e-07, 1.134e-07, 1.089e-07, 1.046e-07, 1.004e-07, 9.635e-08,
348 9.245e-08, 8.867e-08, 8.502e-08, 8.15e-08, 7.809e-08, 7.48e-08,
349 7.159e-08, 6.849e-08, 6.55e-08, 6.262e-08, 5.98e-08, 5.708e-08,
350 5.448e-08, 5.194e-08, 4.951e-08, 4.72e-08, 4.5e-08, 4.291e-08,
351 4.093e-08, 3.905e-08, 3.729e-08, 3.563e-08, 3.408e-08, 3.265e-08,
352 3.128e-08, 2.996e-08, 2.87e-08, 2.76e-08, 2.657e-08, 2.558e-08,
353 2.467e-08, 2.385e-08, 2.307e-08, 2.234e-08, 2.168e-08, 2.108e-08,
354 2.05e-08, 1.998e-08, 1.947e-08, 1.902e-08, 1.86e-08, 1.819e-08,
355 1.782e-08
356 };
357
358 static const double clo[121] = {
359 7.419e-15, 1.061e-14, 1.518e-14, 2.195e-14, 3.175e-14, 4.666e-14,
360 6.872e-14, 1.03e-13, 1.553e-13, 2.375e-13, 3.664e-13, 5.684e-13,
361 8.915e-13, 1.402e-12, 2.269e-12, 4.125e-12, 7.501e-12, 1.257e-11,
362 2.048e-11, 3.338e-11, 5.44e-11, 8.846e-11, 1.008e-10, 1.082e-10,
363 1.157e-10, 1.232e-10, 1.312e-10, 1.539e-10, 1.822e-10, 2.118e-10,
364 2.387e-10, 2.687e-10, 2.875e-10, 3.031e-10, 3.23e-10, 3.648e-10,
365 4.117e-10, 4.477e-10, 4.633e-10, 4.794e-10, 4.95e-10, 5.104e-10,
366 5.259e-10, 5.062e-10, 4.742e-10, 4.443e-10, 4.051e-10, 3.659e-10,
367 3.305e-10, 2.911e-10, 2.54e-10, 2.215e-10, 1.927e-10, 1.675e-10,
368 1.452e-10, 1.259e-10, 1.09e-10, 9.416e-11, 8.119e-11, 6.991e-11,
369 6.015e-11, 5.163e-11, 4.43e-11, 3.789e-11, 3.24e-11, 2.769e-11,
370 2.361e-11, 2.011e-11, 1.71e-11, 1.453e-11, 1.233e-11, 1.045e-11,
371 8.851e-12, 7.48e-12, 6.316e-12, 5.326e-12, 4.487e-12, 3.778e-12,
372 3.176e-12, 2.665e-12, 2.234e-12, 1.87e-12, 1.563e-12, 1.304e-12,
373 1.085e-12, 9.007e-13, 7.468e-13, 6.179e-13, 5.092e-13, 4.188e-13,
374 3.442e-13, 2.816e-13, 2.304e-13, 1.885e-13, 1.542e-13, 1.263e-13,
375 1.035e-13, 8.5e-14, 7.004e-14, 5.783e-14, 4.795e-14, 4.007e-14,
376 3.345e-14, 2.792e-14, 2.33e-14, 1.978e-14, 1.686e-14, 1.438e-14,
377 1.234e-14, 1.07e-14, 9.312e-15, 8.131e-15, 7.164e-15, 6.367e-15,
378 5.67e-15, 5.088e-15, 4.565e-15, 4.138e-15, 3.769e-15, 3.432e-15,
379 3.148e-15
380 };
381
382 static const double clono2[121] = {
383 1.011e-13, 1.515e-13, 2.272e-13, 3.446e-13, 5.231e-13, 8.085e-13,
384 1.253e-12, 1.979e-12, 3.149e-12, 5.092e-12, 8.312e-12, 1.366e-11,
385 2.272e-11, 3.791e-11, 6.209e-11, 9.101e-11, 1.334e-10, 1.951e-10,
386 2.853e-10, 3.94e-10, 4.771e-10, 5.771e-10, 6.675e-10, 7.665e-10,
387 8.504e-10, 8.924e-10, 9.363e-10, 8.923e-10, 8.411e-10, 7.646e-10,
388 6.525e-10, 5.576e-10, 4.398e-10, 3.403e-10, 2.612e-10, 1.915e-10,
389 1.407e-10, 1.028e-10, 7.455e-11, 5.42e-11, 3.708e-11, 2.438e-11,
390 1.618e-11, 1.075e-11, 7.17e-12, 4.784e-12, 3.205e-12, 2.147e-12,
391 1.44e-12, 9.654e-13, 6.469e-13, 4.332e-13, 2.891e-13, 1.926e-13,
392 1.274e-13, 8.422e-14, 5.547e-14, 3.636e-14, 2.368e-14, 1.536e-14,
393 9.937e-15, 6.39e-15, 4.101e-15, 2.61e-15, 1.659e-15, 1.052e-15,
394 6.638e-16, 4.172e-16, 2.61e-16, 1.63e-16, 1.013e-16, 6.275e-17,
395 3.879e-17, 2.383e-17, 1.461e-17, 8.918e-18, 5.43e-18, 3.301e-18,
396 1.997e-18, 1.203e-18, 7.216e-19, 4.311e-19, 2.564e-19, 1.519e-19,
397 8.911e-20, 5.203e-20, 3.026e-20, 1.748e-20, 9.99e-21, 5.673e-21,
398 3.215e-21, 1.799e-21, 1.006e-21, 5.628e-22, 3.146e-22, 1.766e-22,
399 9.94e-23, 5.614e-23, 3.206e-23, 1.841e-23, 1.071e-23, 6.366e-24,
400 3.776e-24, 2.238e-24, 1.326e-24, 8.253e-25, 5.201e-25, 3.279e-25,
401 2.108e-25, 1.395e-25, 9.326e-26, 6.299e-26, 4.365e-26, 3.104e-26,
402 2.219e-26, 1.621e-26, 1.185e-26, 8.92e-27, 6.804e-27, 5.191e-27,
403 4.041e-27
404 };
405
406 static const double co[121] = {
407 1.907e-07, 1.553e-07, 1.362e-07, 1.216e-07, 1.114e-07, 1.036e-07,
408 9.737e-08, 9.152e-08, 8.559e-08, 7.966e-08, 7.277e-08, 6.615e-08,
409 5.884e-08, 5.22e-08, 4.699e-08, 4.284e-08, 3.776e-08, 3.274e-08,
410 2.845e-08, 2.479e-08, 2.246e-08, 2.054e-08, 1.991e-08, 1.951e-08,
411 1.94e-08, 2.009e-08, 2.1e-08, 2.201e-08, 2.322e-08, 2.45e-08,
412 2.602e-08, 2.73e-08, 2.867e-08, 2.998e-08, 3.135e-08, 3.255e-08,
413 3.352e-08, 3.426e-08, 3.484e-08, 3.53e-08, 3.593e-08, 3.671e-08,
414 3.759e-08, 3.945e-08, 4.192e-08, 4.49e-08, 5.03e-08, 5.703e-08,
415 6.538e-08, 7.878e-08, 9.644e-08, 1.196e-07, 1.498e-07, 1.904e-07,
416 2.422e-07, 3.055e-07, 3.804e-07, 4.747e-07, 5.899e-07, 7.272e-07,
417 8.91e-07, 1.071e-06, 1.296e-06, 1.546e-06, 1.823e-06, 2.135e-06,
418 2.44e-06, 2.714e-06, 2.967e-06, 3.189e-06, 3.391e-06, 3.58e-06,
419 3.773e-06, 4.022e-06, 4.346e-06, 4.749e-06, 5.199e-06, 5.668e-06,
420 6.157e-06, 6.688e-06, 7.254e-06, 7.867e-06, 8.539e-06, 9.26e-06,
421 1.009e-05, 1.119e-05, 1.228e-05, 1.365e-05, 1.506e-05, 1.641e-05,
422 1.784e-05, 1.952e-05, 2.132e-05, 2.323e-05, 2.531e-05, 2.754e-05,
423 3.047e-05, 3.459e-05, 3.922e-05, 4.439e-05, 4.825e-05, 5.077e-05,
424 5.34e-05, 5.618e-05, 5.909e-05, 6.207e-05, 6.519e-05, 6.845e-05,
425 6.819e-05, 6.726e-05, 6.622e-05, 6.512e-05, 6.671e-05, 6.862e-05,
426 7.048e-05, 7.264e-05, 7.3e-05, 7.3e-05, 7.3e-05, 7.3e-05, 7.3e-05
427 };
428
429 static const double cof2[121] = {
430 7.5e-14, 1.055e-13, 1.485e-13, 2.111e-13, 3.001e-13, 4.333e-13,
431 6.269e-13, 9.221e-13, 1.364e-12, 2.046e-12, 3.093e-12, 4.703e-12,
432 7.225e-12, 1.113e-11, 1.66e-11, 2.088e-11, 2.626e-11, 3.433e-11,
433 4.549e-11, 5.886e-11, 7.21e-11, 8.824e-11, 1.015e-10, 1.155e-10,
434 1.288e-10, 1.388e-10, 1.497e-10, 1.554e-10, 1.606e-10, 1.639e-10,
435 1.64e-10, 1.64e-10, 1.596e-10, 1.542e-10, 1.482e-10, 1.382e-10,
436 1.289e-10, 1.198e-10, 1.109e-10, 1.026e-10, 9.484e-11, 8.75e-11,
437 8.086e-11, 7.49e-11, 6.948e-11, 6.446e-11, 5.961e-11, 5.505e-11,
438 5.085e-11, 4.586e-11, 4.1e-11, 3.665e-11, 3.235e-11, 2.842e-11,
439 2.491e-11, 2.11e-11, 1.769e-11, 1.479e-11, 1.197e-11, 9.631e-12,
440 7.74e-12, 6.201e-12, 4.963e-12, 3.956e-12, 3.151e-12, 2.507e-12,
441 1.99e-12, 1.576e-12, 1.245e-12, 9.83e-13, 7.742e-13, 6.088e-13,
442 4.782e-13, 3.745e-13, 2.929e-13, 2.286e-13, 1.782e-13, 1.388e-13,
443 1.079e-13, 8.362e-14, 6.471e-14, 4.996e-14, 3.85e-14, 2.96e-14,
444 2.265e-14, 1.729e-14, 1.317e-14, 9.998e-15, 7.549e-15, 5.683e-15,
445 4.273e-15, 3.193e-15, 2.385e-15, 1.782e-15, 1.331e-15, 9.957e-16,
446 7.461e-16, 5.601e-16, 4.228e-16, 3.201e-16, 2.438e-16, 1.878e-16,
447 1.445e-16, 1.111e-16, 8.544e-17, 6.734e-17, 5.341e-17, 4.237e-17,
448 3.394e-17, 2.759e-17, 2.254e-17, 1.851e-17, 1.54e-17, 1.297e-17,
449 1.096e-17, 9.365e-18, 8e-18, 6.938e-18, 6.056e-18, 5.287e-18,
450 4.662e-18
451 };
452
453 static const double f11[121] = {
454 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10,
455 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.635e-10, 2.536e-10,
456 2.44e-10, 2.348e-10, 2.258e-10, 2.153e-10, 2.046e-10, 1.929e-10,
457 1.782e-10, 1.648e-10, 1.463e-10, 1.291e-10, 1.1e-10, 8.874e-11,
458 7.165e-11, 5.201e-11, 3.744e-11, 2.577e-11, 1.64e-11, 1.048e-11,
459 5.993e-12, 3.345e-12, 1.839e-12, 9.264e-13, 4.688e-13, 2.329e-13,
460 1.129e-13, 5.505e-14, 2.825e-14, 1.492e-14, 7.997e-15, 5.384e-15,
461 3.988e-15, 2.955e-15, 2.196e-15, 1.632e-15, 1.214e-15, 9.025e-16,
462 6.708e-16, 4.984e-16, 3.693e-16, 2.733e-16, 2.013e-16, 1.481e-16,
463 1.087e-16, 7.945e-17, 5.782e-17, 4.195e-17, 3.038e-17, 2.19e-17,
464 1.577e-17, 1.128e-17, 8.063e-18, 5.753e-18, 4.09e-18, 2.899e-18,
465 2.048e-18, 1.444e-18, 1.015e-18, 7.12e-19, 4.985e-19, 3.474e-19,
466 2.417e-19, 1.677e-19, 1.161e-19, 8.029e-20, 5.533e-20, 3.799e-20,
467 2.602e-20, 1.776e-20, 1.209e-20, 8.202e-21, 5.522e-21, 3.707e-21,
468 2.48e-21, 1.652e-21, 1.091e-21, 7.174e-22, 4.709e-22, 3.063e-22,
469 1.991e-22, 1.294e-22, 8.412e-23, 5.483e-23, 3.581e-23, 2.345e-23,
470 1.548e-23, 1.027e-23, 6.869e-24, 4.673e-24, 3.173e-24, 2.153e-24,
471 1.461e-24, 1.028e-24, 7.302e-25, 5.188e-25, 3.739e-25, 2.753e-25,
472 2.043e-25, 1.528e-25, 1.164e-25, 9.041e-26, 7.051e-26, 5.587e-26,
473 4.428e-26, 3.588e-26, 2.936e-26, 2.402e-26, 1.995e-26
474 };
475
476 static const double f113[121] = {
477 1.9e-11, 1.9e-11, 1.899e-11, 1.899e-11, 1.898e-11, 1.898e-11,
478 1.897e-11, 1.896e-11, 1.895e-11, 1.894e-11, 1.893e-11, 1.89e-11,
479 1.887e-11, 1.871e-11, 1.854e-11, 1.803e-11, 1.751e-11, 1.664e-11,
480 1.576e-11, 1.466e-11, 1.356e-11, 1.236e-11, 1.116e-11, 9.931e-12,
481 8.702e-12, 7.515e-12, 6.4238e-12, 5.3326e-12, 4.3652e-12, 3.5216e-12,
482 2.678e-12, 2.1532e-12, 1.6284e-12, 1.2202e-12, 9.286e-13, 6.37e-13,
483 4.95e-13, 3.53e-13, 2.5004e-13, 1.8612e-13, 1.222e-13, 9.704e-14,
484 7.188e-14, 5.3338e-14, 4.1414e-14, 2.949e-14, 2.3722e-14, 1.7954e-14,
485 1.37794e-14, 1.11982e-14, 8.617e-15, 7.6036e-15, 6.5902e-15,
486 5.5768e-15, 4.5634e-15, 3.55e-15, 3.1008e-15, 2.6516e-15, 2.2024e-15,
487 1.7532e-15, 1.304e-15, 1.1354e-15, 9.668e-16, 7.982e-16, 6.296e-16,
488 4.61e-16, 3.9734e-16, 3.3368e-16, 2.7002e-16, 2.0636e-16, 1.427e-16,
489 1.22804e-16, 1.02908e-16, 8.3012e-17, 6.3116e-17, 4.322e-17,
490 3.6838e-17, 3.0456e-17, 2.4074e-17, 1.7692e-17, 1.131e-17,
491 9.6202e-18, 7.9304e-18, 6.2406e-18, 4.5508e-18, 2.861e-18,
492 2.40476e-18, 1.94852e-18, 1.49228e-18, 1.03604e-18, 5.798e-19,
493 4.8502e-19, 3.9024e-19, 2.9546e-19, 2.0068e-19, 1.059e-19,
494 8.7084e-20, 6.8268e-20, 4.9452e-20, 3.0636e-20, 1.182e-20,
495 9.64344e-21, 7.46688e-21, 5.29032e-21, 3.11376e-21, 9.372e-22,
496 7.5685e-22, 5.765e-22, 3.9615e-22, 2.158e-22, 3.545e-23,
497 2.86046e-23, 2.17592e-23, 1.49138e-23, 8.0684e-24, 1.223e-24,
498 9.92358e-25, 7.61716e-25, 5.31074e-25, 3.00432e-25, 6.979e-26
499 };
500
501 static const double f114[121] = {
502 1.2e-11, 1.2e-11, 1.2e-11, 1.2e-11, 1.199e-11, 1.199e-11,
503 1.199e-11, 1.199e-11, 1.198e-11, 1.198e-11, 1.198e-11, 1.197e-11,
504 1.196e-11, 1.191e-11, 1.185e-11, 1.167e-11, 1.149e-11, 1.12e-11,
505 1.09e-11, 1.053e-11, 1.015e-11, 9.731e-12, 9.311e-12, 8.865e-12,
506 8.419e-12, 7.949e-12, 7.4774e-12, 7.0058e-12, 6.54e-12, 6.08e-12,
507 5.62e-12, 5.1908e-12, 4.7616e-12, 4.3622e-12, 3.9926e-12, 3.623e-12,
508 3.3274e-12, 3.0318e-12, 2.7702e-12, 2.5426e-12, 2.315e-12, 2.1514e-12,
509 1.9878e-12, 1.8448e-12, 1.7224e-12, 1.6e-12, 1.51e-12, 1.42e-12,
510 1.3462e-12, 1.2886e-12, 1.231e-12, 1.1922e-12, 1.1534e-12, 1.1146e-12,
511 1.0758e-12, 1.037e-12, 1.0025e-12, 9.68e-13, 9.335e-13, 8.99e-13,
512 8.645e-13, 8.344e-13, 8.043e-13, 7.742e-13, 7.441e-13, 7.14e-13,
513 6.8718e-13, 6.6036e-13, 6.3354e-13, 6.0672e-13, 5.799e-13, 5.5612e-13,
514 5.3234e-13, 5.0856e-13, 4.8478e-13, 4.61e-13, 4.394e-13, 4.178e-13,
515 3.962e-13, 3.746e-13, 3.53e-13, 3.3288e-13, 3.1276e-13, 2.9264e-13,
516 2.7252e-13, 2.524e-13, 2.3368e-13, 2.1496e-13, 1.9624e-13, 1.7752e-13,
517 1.588e-13, 1.4221e-13, 1.2562e-13, 1.0903e-13, 9.244e-14, 7.585e-14,
518 6.4942e-14, 5.4034e-14, 4.3126e-14, 3.2218e-14, 2.131e-14, 1.76694e-14,
519 1.40288e-14, 1.03882e-14, 6.7476e-15, 3.107e-15, 2.52738e-15,
520 1.94776e-15, 1.36814e-15, 7.8852e-16, 2.089e-16, 1.69288e-16,
521 1.29676e-16, 9.0064e-17, 5.0452e-17, 1.084e-17, 8.85136e-18,
522 6.86272e-18, 4.87408e-18, 2.88544e-18, 8.968e-19
523 };
524
525 static const double f12[121] = {
526 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10,
527 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.429e-10, 5.291e-10,
528 5.155e-10, 5.022e-10, 4.893e-10, 4.772e-10, 4.655e-10, 4.497e-10,
529 4.249e-10, 4.015e-10, 3.632e-10, 3.261e-10, 2.858e-10, 2.408e-10,
530 2.03e-10, 1.685e-10, 1.4e-10, 1.163e-10, 9.65e-11, 8.02e-11, 6.705e-11,
531 5.624e-11, 4.764e-11, 4.249e-11, 3.792e-11, 3.315e-11, 2.819e-11,
532 2.4e-11, 1.999e-11, 1.64e-11, 1.352e-11, 1.14e-11, 9.714e-12,
533 8.28e-12, 7.176e-12, 6.251e-12, 5.446e-12, 4.72e-12, 4.081e-12,
534 3.528e-12, 3.08e-12, 2.699e-12, 2.359e-12, 2.111e-12, 1.901e-12,
535 1.709e-12, 1.534e-12, 1.376e-12, 1.233e-12, 1.103e-12, 9.869e-13,
536 8.808e-13, 7.859e-13, 7.008e-13, 6.241e-13, 5.553e-13, 4.935e-13,
537 4.383e-13, 3.889e-13, 3.447e-13, 3.054e-13, 2.702e-13, 2.389e-13,
538 2.11e-13, 1.862e-13, 1.643e-13, 1.448e-13, 1.274e-13, 1.121e-13,
539 9.844e-14, 8.638e-14, 7.572e-14, 6.62e-14, 5.782e-14, 5.045e-14,
540 4.394e-14, 3.817e-14, 3.311e-14, 2.87e-14, 2.48e-14, 2.142e-14,
541 1.851e-14, 1.599e-14, 1.383e-14, 1.196e-14, 1.036e-14, 9e-15,
542 7.828e-15, 6.829e-15, 5.992e-15, 5.254e-15, 4.606e-15, 4.037e-15,
543 3.583e-15, 3.19e-15, 2.841e-15, 2.542e-15, 2.291e-15, 2.07e-15,
544 1.875e-15, 1.71e-15, 1.57e-15, 1.442e-15, 1.333e-15, 1.232e-15,
545 1.147e-15, 1.071e-15, 1.001e-15, 9.396e-16
546 };
547
548 static const double f14[121] = {
549 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11,
550 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 8.91e-11, 8.73e-11, 8.46e-11,
551 8.19e-11, 7.92e-11, 7.74e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
552 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
553 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
554 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
555 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
556 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
557 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
558 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
559 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
560 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
561 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
562 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
563 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
564 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
565 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11
566 };
567
568 static const double f22[121] = {
569 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10,
570 1.4e-10, 1.4e-10, 1.4e-10, 1.372e-10, 1.317e-10, 1.235e-10, 1.153e-10,
571 1.075e-10, 1.002e-10, 9.332e-11, 8.738e-11, 8.194e-11, 7.7e-11,
572 7.165e-11, 6.753e-11, 6.341e-11, 5.971e-11, 5.6e-11, 5.229e-11,
573 4.859e-11, 4.488e-11, 4.118e-11, 3.83e-11, 3.568e-11, 3.308e-11,
574 3.047e-11, 2.82e-11, 2.594e-11, 2.409e-11, 2.237e-11, 2.065e-11,
575 1.894e-11, 1.771e-11, 1.647e-11, 1.532e-11, 1.416e-11, 1.332e-11,
576 1.246e-11, 1.161e-11, 1.087e-11, 1.017e-11, 9.471e-12, 8.853e-12,
577 8.235e-12, 7.741e-12, 7.247e-12, 6.836e-12, 6.506e-12, 6.176e-12,
578 5.913e-12, 5.65e-12, 5.419e-12, 5.221e-12, 5.024e-12, 4.859e-12,
579 4.694e-12, 4.546e-12, 4.414e-12, 4.282e-12, 4.15e-12, 4.019e-12,
580 3.903e-12, 3.805e-12, 3.706e-12, 3.607e-12, 3.508e-12, 3.41e-12,
581 3.31e-12, 3.212e-12, 3.129e-12, 3.047e-12, 2.964e-12, 2.882e-12,
582 2.8e-12, 2.734e-12, 2.668e-12, 2.602e-12, 2.537e-12, 2.471e-12,
583 2.421e-12, 2.372e-12, 2.322e-12, 2.273e-12, 2.224e-12, 2.182e-12,
584 2.141e-12, 2.1e-12, 2.059e-12, 2.018e-12, 1.977e-12, 1.935e-12,
585 1.894e-12, 1.853e-12, 1.812e-12, 1.77e-12, 1.73e-12, 1.688e-12,
586 1.647e-12, 1.606e-12, 1.565e-12, 1.524e-12, 1.483e-12, 1.441e-12,
587 1.4e-12, 1.359e-12, 1.317e-12, 1.276e-12, 1.235e-12, 1.194e-12,
588 1.153e-12, 1.112e-12, 1.071e-12, 1.029e-12, 9.883e-13
589 };
590
591 static const double h2co[121] = {
592 8.71857e-11, 8.71857e-11, 8.71857e-11, 8.71857e-11, 8.71857e-11,
593 8.71857e-11, 7.72315e-11, 6.85464e-11, 6.0758e-11, 5.32087e-11,
594 4.5719e-11, 3.79458e-11, 3.07607e-11, 2.46025e-11, 1.94038e-11,
595 1.40882e-11, 1.0623e-11, 8.35457e-12, 6.87427e-12, 7.09071e-12,
596 8.96183e-12, 1.09012e-11, 1.50545e-11, 1.92077e-11, 2.3361e-11,
597 2.7054e-11, 3.01936e-11, 3.33333e-11, 3.69281e-11, 4.08069e-11,
598 4.57318e-11, 5.1348e-11, 5.69642e-11, 6.33173e-11, 6.98984e-11,
599 7.63144e-11, 8.22774e-11, 8.82405e-11, 9.3746e-11, 9.92074e-11,
600 1.04669e-10, 1.10055e-10, 1.15293e-10, 1.20531e-10, 1.26293e-10,
601 1.32585e-10, 1.35966e-10, 1.36242e-10, 1.36519e-10, 1.61155e-10,
602 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
603 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
604 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
605 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
606 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
607 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
608 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
609 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
610 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
611 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
612 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
613 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
614 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
615 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
616 1.99157e-10
617 };
618
619 static const double h2o[121] = {
620 0.01166, 0.008269, 0.005742, 0.003845, 0.00277, 0.001897, 0.001272,
621 0.000827, 0.000539, 0.0003469, 0.0001579, 3.134e-05, 1.341e-05,
622 6.764e-06, 4.498e-06, 3.703e-06, 3.724e-06, 3.899e-06, 4.002e-06,
623 4.122e-06, 4.277e-06, 4.438e-06, 4.558e-06, 4.673e-06, 4.763e-06,
624 4.809e-06, 4.856e-06, 4.936e-06, 5.021e-06, 5.114e-06, 5.222e-06,
625 5.331e-06, 5.414e-06, 5.488e-06, 5.563e-06, 5.633e-06, 5.704e-06,
626 5.767e-06, 5.819e-06, 5.872e-06, 5.914e-06, 5.949e-06, 5.984e-06,
627 6.015e-06, 6.044e-06, 6.073e-06, 6.104e-06, 6.136e-06, 6.167e-06,
628 6.189e-06, 6.208e-06, 6.226e-06, 6.212e-06, 6.185e-06, 6.158e-06,
629 6.114e-06, 6.066e-06, 6.018e-06, 5.877e-06, 5.728e-06, 5.582e-06,
630 5.437e-06, 5.296e-06, 5.156e-06, 5.02e-06, 4.886e-06, 4.754e-06,
631 4.625e-06, 4.498e-06, 4.374e-06, 4.242e-06, 4.096e-06, 3.955e-06,
632 3.817e-06, 3.683e-06, 3.491e-06, 3.204e-06, 2.94e-06, 2.696e-06,
633 2.47e-06, 2.252e-06, 2.019e-06, 1.808e-06, 1.618e-06, 1.445e-06,
634 1.285e-06, 1.105e-06, 9.489e-07, 8.121e-07, 6.938e-07, 5.924e-07,
635 5.04e-07, 4.288e-07, 3.648e-07, 3.103e-07, 2.642e-07, 2.252e-07,
636 1.921e-07, 1.643e-07, 1.408e-07, 1.211e-07, 1.048e-07, 9.063e-08,
637 7.835e-08, 6.774e-08, 5.936e-08, 5.221e-08, 4.592e-08, 4.061e-08,
638 3.62e-08, 3.236e-08, 2.902e-08, 2.62e-08, 2.383e-08, 2.171e-08,
639 1.989e-08, 1.823e-08, 1.684e-08, 1.562e-08, 1.449e-08, 1.351e-08
640 };
641
642 static const double h2o2[121] = {
643 1.779e-10, 7.938e-10, 8.953e-10, 8.032e-10, 6.564e-10, 5.159e-10,
644 4.003e-10, 3.026e-10, 2.222e-10, 1.58e-10, 1.044e-10, 6.605e-11,
645 3.413e-11, 1.453e-11, 1.062e-11, 1.009e-11, 9.597e-12, 1.175e-11,
646 1.572e-11, 2.091e-11, 2.746e-11, 3.603e-11, 4.791e-11, 6.387e-11,
647 8.239e-11, 1.007e-10, 1.23e-10, 1.363e-10, 1.489e-10, 1.585e-10,
648 1.608e-10, 1.632e-10, 1.576e-10, 1.502e-10, 1.423e-10, 1.302e-10,
649 1.192e-10, 1.085e-10, 9.795e-11, 8.854e-11, 8.057e-11, 7.36e-11,
650 6.736e-11, 6.362e-11, 6.087e-11, 5.825e-11, 5.623e-11, 5.443e-11,
651 5.27e-11, 5.098e-11, 4.931e-11, 4.769e-11, 4.611e-11, 4.458e-11,
652 4.308e-11, 4.102e-11, 3.887e-11, 3.682e-11, 3.521e-11, 3.369e-11,
653 3.224e-11, 3.082e-11, 2.946e-11, 2.814e-11, 2.687e-11, 2.566e-11,
654 2.449e-11, 2.336e-11, 2.227e-11, 2.123e-11, 2.023e-11, 1.927e-11,
655 1.835e-11, 1.746e-11, 1.661e-11, 1.58e-11, 1.502e-11, 1.428e-11,
656 1.357e-11, 1.289e-11, 1.224e-11, 1.161e-11, 1.102e-11, 1.045e-11,
657 9.895e-12, 9.369e-12, 8.866e-12, 8.386e-12, 7.922e-12, 7.479e-12,
658 7.06e-12, 6.656e-12, 6.274e-12, 5.914e-12, 5.575e-12, 5.257e-12,
659 4.959e-12, 4.679e-12, 4.42e-12, 4.178e-12, 3.954e-12, 3.75e-12,
660 3.557e-12, 3.372e-12, 3.198e-12, 3.047e-12, 2.908e-12, 2.775e-12,
661 2.653e-12, 2.544e-12, 2.442e-12, 2.346e-12, 2.26e-12, 2.183e-12,
662 2.11e-12, 2.044e-12, 1.98e-12, 1.924e-12, 1.871e-12, 1.821e-12,
663 1.775e-12
664 };
665
666 static const double hcl[121] = {
667 3.70385e-11, 3.70385e-11, 3.70385e-11, 3.70385e-11, 3.70385e-11,
668 3.70385e-11, 2.21247e-11, 1.88117e-11, 2.36957e-11, 3.72192e-11,
669 5.79399e-11, 8.04158e-11, 1.01779e-10, 1.2301e-10, 1.53924e-10,
670 1.93737e-10, 2.5561e-10, 3.84228e-10, 6.18248e-10, 6.31222e-10,
671 7.84907e-10, 9.36932e-10, 1.03508e-09, 1.13323e-09, 1.23138e-09,
672 1.31985e-09, 1.39669e-09, 1.47352e-09, 1.56375e-09, 1.66234e-09,
673 1.78086e-09, 1.91256e-09, 2.04425e-09, 2.16629e-09, 2.28535e-09,
674 2.39439e-09, 2.47597e-09, 2.55755e-09, 2.60873e-09, 2.65696e-09,
675 2.70519e-09, 2.75658e-09, 2.81422e-09, 2.87187e-09, 2.94013e-09,
676 3.01911e-09, 3.09497e-09, 3.16749e-09, 3.24001e-09, 3.30525e-09,
677 3.3665e-09, 3.42424e-09, 3.4619e-09, 3.49956e-09, 3.52273e-09,
678 3.54214e-09, 3.56154e-09, 3.57918e-09, 3.59049e-09, 3.6018e-09,
679 3.6132e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
680 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
681 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
682 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
683 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
684 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
685 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
686 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
687 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
688 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
689 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
690 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
691 3.62476e-09
692 };
693
694 static const double hcn[121] = {
695 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10,
696 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.498e-10, 5.495e-10, 5.493e-10,
697 5.49e-10, 5.488e-10, 4.717e-10, 3.946e-10, 3.174e-10, 2.4e-10,
698 1.626e-10, 1.619e-10, 1.612e-10, 1.602e-10, 1.593e-10, 1.582e-10,
699 1.572e-10, 1.56e-10, 1.549e-10, 1.539e-10, 1.53e-10, 1.519e-10,
700 1.506e-10, 1.487e-10, 1.467e-10, 1.449e-10, 1.43e-10, 1.413e-10,
701 1.397e-10, 1.382e-10, 1.368e-10, 1.354e-10, 1.337e-10, 1.315e-10,
702 1.292e-10, 1.267e-10, 1.241e-10, 1.215e-10, 1.19e-10, 1.165e-10,
703 1.141e-10, 1.118e-10, 1.096e-10, 1.072e-10, 1.047e-10, 1.021e-10,
704 9.968e-11, 9.739e-11, 9.539e-11, 9.339e-11, 9.135e-11, 8.898e-11,
705 8.664e-11, 8.439e-11, 8.249e-11, 8.075e-11, 7.904e-11, 7.735e-11,
706 7.565e-11, 7.399e-11, 7.245e-11, 7.109e-11, 6.982e-11, 6.863e-11,
707 6.755e-11, 6.657e-11, 6.587e-11, 6.527e-11, 6.476e-11, 6.428e-11,
708 6.382e-11, 6.343e-11, 6.307e-11, 6.272e-11, 6.238e-11, 6.205e-11,
709 6.17e-11, 6.137e-11, 6.102e-11, 6.072e-11, 6.046e-11, 6.03e-11,
710 6.018e-11, 6.01e-11, 6.001e-11, 5.992e-11, 5.984e-11, 5.975e-11,
711 5.967e-11, 5.958e-11, 5.95e-11, 5.941e-11, 5.933e-11, 5.925e-11,
712 5.916e-11, 5.908e-11, 5.899e-11, 5.891e-11, 5.883e-11, 5.874e-11,
713 5.866e-11, 5.858e-11, 5.85e-11, 5.841e-11, 5.833e-11, 5.825e-11,
714 5.817e-11, 5.808e-11, 5.8e-11, 5.792e-11, 5.784e-11
715 };
716
717 static const double hf[121] = {
718 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11,
719 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11,
720 2.64279e-11, 2.64279e-11, 2.64279e-11, 3.86691e-11, 5.22002e-11,
721 6.92471e-11, 9.13979e-11, 1.37918e-10, 2.24918e-10, 2.29824e-10,
722 2.94241e-10, 3.58363e-10, 4.12881e-10, 4.67399e-10, 5.21917e-10,
723 5.74229e-10, 6.23889e-10, 6.73549e-10, 7.24119e-10, 7.75256e-10,
724 8.319e-10, 8.92185e-10, 9.52469e-10, 1.01325e-09, 1.07419e-09,
725 1.13565e-09, 1.19856e-09, 1.26146e-09, 1.31439e-09, 1.36635e-09,
726 1.41831e-09, 1.46549e-09, 1.50321e-09, 1.54093e-09, 1.57986e-09,
727 1.62e-09, 1.66286e-09, 1.70863e-09, 1.75439e-09, 1.79827e-09,
728 1.84111e-09, 1.88125e-09, 1.90603e-09, 1.93081e-09, 1.9413e-09,
729 1.94807e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
730 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
731 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
732 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
733 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
734 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
735 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
736 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
737 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
738 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
739 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
740 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
741 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
742 1.95485e-09
743 };
744
745 static const double hno3[121] = {
746 1.809e-10, 7.234e-10, 5.899e-10, 4.342e-10, 3.277e-10, 2.661e-10,
747 2.35e-10, 2.267e-10, 2.389e-10, 2.651e-10, 3.255e-10, 4.099e-10,
748 5.42e-10, 6.978e-10, 8.807e-10, 1.112e-09, 1.405e-09, 2.04e-09,
749 3.111e-09, 4.5e-09, 5.762e-09, 7.37e-09, 7.852e-09, 8.109e-09,
750 8.067e-09, 7.554e-09, 7.076e-09, 6.268e-09, 5.524e-09, 4.749e-09,
751 3.909e-09, 3.223e-09, 2.517e-09, 1.942e-09, 1.493e-09, 1.122e-09,
752 8.449e-10, 6.361e-10, 4.787e-10, 3.611e-10, 2.804e-10, 2.215e-10,
753 1.758e-10, 1.441e-10, 1.197e-10, 9.953e-11, 8.505e-11, 7.334e-11,
754 6.325e-11, 5.625e-11, 5.058e-11, 4.548e-11, 4.122e-11, 3.748e-11,
755 3.402e-11, 3.088e-11, 2.8e-11, 2.536e-11, 2.293e-11, 2.072e-11,
756 1.871e-11, 1.687e-11, 1.52e-11, 1.368e-11, 1.23e-11, 1.105e-11,
757 9.922e-12, 8.898e-12, 7.972e-12, 7.139e-12, 6.385e-12, 5.708e-12,
758 5.099e-12, 4.549e-12, 4.056e-12, 3.613e-12, 3.216e-12, 2.862e-12,
759 2.544e-12, 2.259e-12, 2.004e-12, 1.776e-12, 1.572e-12, 1.391e-12,
760 1.227e-12, 1.082e-12, 9.528e-13, 8.379e-13, 7.349e-13, 6.436e-13,
761 5.634e-13, 4.917e-13, 4.291e-13, 3.745e-13, 3.267e-13, 2.854e-13,
762 2.494e-13, 2.181e-13, 1.913e-13, 1.68e-13, 1.479e-13, 1.31e-13,
763 1.159e-13, 1.025e-13, 9.067e-14, 8.113e-14, 7.281e-14, 6.535e-14,
764 5.892e-14, 5.348e-14, 4.867e-14, 4.439e-14, 4.073e-14, 3.76e-14,
765 3.476e-14, 3.229e-14, 3e-14, 2.807e-14, 2.635e-14, 2.473e-14,
766 2.332e-14
767 };
768
769 static const double hno4[121] = {
770 6.118e-12, 3.594e-12, 2.807e-12, 3.04e-12, 4.458e-12, 7.986e-12,
771 1.509e-11, 2.661e-11, 3.738e-11, 4.652e-11, 4.429e-11, 3.992e-11,
772 3.347e-11, 3.005e-11, 3.173e-11, 4.055e-11, 5.812e-11, 8.489e-11,
773 1.19e-10, 1.482e-10, 1.766e-10, 2.103e-10, 2.35e-10, 2.598e-10,
774 2.801e-10, 2.899e-10, 3e-10, 2.817e-10, 2.617e-10, 2.332e-10,
775 1.933e-10, 1.605e-10, 1.232e-10, 9.285e-11, 6.941e-11, 4.951e-11,
776 3.539e-11, 2.402e-11, 1.522e-11, 9.676e-12, 6.056e-12, 3.745e-12,
777 2.34e-12, 1.463e-12, 9.186e-13, 5.769e-13, 3.322e-13, 1.853e-13,
778 1.035e-13, 7.173e-14, 5.382e-14, 4.036e-14, 3.401e-14, 2.997e-14,
779 2.635e-14, 2.316e-14, 2.034e-14, 1.783e-14, 1.56e-14, 1.363e-14,
780 1.19e-14, 1.037e-14, 9.032e-15, 7.846e-15, 6.813e-15, 5.912e-15,
781 5.121e-15, 4.431e-15, 3.829e-15, 3.306e-15, 2.851e-15, 2.456e-15,
782 2.114e-15, 1.816e-15, 1.559e-15, 1.337e-15, 1.146e-15, 9.811e-16,
783 8.389e-16, 7.162e-16, 6.109e-16, 5.203e-16, 4.425e-16, 3.76e-16,
784 3.184e-16, 2.692e-16, 2.274e-16, 1.917e-16, 1.61e-16, 1.35e-16,
785 1.131e-16, 9.437e-17, 7.874e-17, 6.57e-17, 5.481e-17, 4.579e-17,
786 3.828e-17, 3.204e-17, 2.691e-17, 2.264e-17, 1.912e-17, 1.626e-17,
787 1.382e-17, 1.174e-17, 9.972e-18, 8.603e-18, 7.45e-18, 6.453e-18,
788 5.623e-18, 4.944e-18, 4.361e-18, 3.859e-18, 3.443e-18, 3.096e-18,
789 2.788e-18, 2.528e-18, 2.293e-18, 2.099e-18, 1.929e-18, 1.773e-18,
790 1.64e-18
791 };
792
793 static const double hocl[121] = {
794 1.056e-12, 1.194e-12, 1.35e-12, 1.531e-12, 1.737e-12, 1.982e-12,
795 2.263e-12, 2.599e-12, 2.991e-12, 3.459e-12, 4.012e-12, 4.662e-12,
796 5.438e-12, 6.35e-12, 7.425e-12, 8.686e-12, 1.016e-11, 1.188e-11,
797 1.389e-11, 1.659e-11, 2.087e-11, 2.621e-11, 3.265e-11, 4.064e-11,
798 4.859e-11, 5.441e-11, 6.09e-11, 6.373e-11, 6.611e-11, 6.94e-11,
799 7.44e-11, 7.97e-11, 8.775e-11, 9.722e-11, 1.064e-10, 1.089e-10,
800 1.114e-10, 1.106e-10, 1.053e-10, 1.004e-10, 9.006e-11, 7.778e-11,
801 6.739e-11, 5.636e-11, 4.655e-11, 3.845e-11, 3.042e-11, 2.368e-11,
802 1.845e-11, 1.442e-11, 1.127e-11, 8.814e-12, 6.544e-12, 4.763e-12,
803 3.449e-12, 2.612e-12, 1.999e-12, 1.526e-12, 1.16e-12, 8.793e-13,
804 6.655e-13, 5.017e-13, 3.778e-13, 2.829e-13, 2.117e-13, 1.582e-13,
805 1.178e-13, 8.755e-14, 6.486e-14, 4.799e-14, 3.54e-14, 2.606e-14,
806 1.916e-14, 1.403e-14, 1.026e-14, 7.48e-15, 5.446e-15, 3.961e-15,
807 2.872e-15, 2.076e-15, 1.498e-15, 1.077e-15, 7.726e-16, 5.528e-16,
808 3.929e-16, 2.785e-16, 1.969e-16, 1.386e-16, 9.69e-17, 6.747e-17,
809 4.692e-17, 3.236e-17, 2.232e-17, 1.539e-17, 1.061e-17, 7.332e-18,
810 5.076e-18, 3.522e-18, 2.461e-18, 1.726e-18, 1.22e-18, 8.75e-19,
811 6.264e-19, 4.482e-19, 3.207e-19, 2.368e-19, 1.762e-19, 1.312e-19,
812 9.891e-20, 7.595e-20, 5.87e-20, 4.567e-20, 3.612e-20, 2.904e-20,
813 2.343e-20, 1.917e-20, 1.568e-20, 1.308e-20, 1.1e-20, 9.25e-21,
814 7.881e-21
815 };
816
817 static const double n2o[121] = {
818 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07,
819 3.17e-07, 3.17e-07, 3.17e-07, 3.124e-07, 3.077e-07, 3.03e-07,
820 2.984e-07, 2.938e-07, 2.892e-07, 2.847e-07, 2.779e-07, 2.705e-07,
821 2.631e-07, 2.557e-07, 2.484e-07, 2.345e-07, 2.201e-07, 2.01e-07,
822 1.754e-07, 1.532e-07, 1.329e-07, 1.154e-07, 1.003e-07, 8.735e-08,
823 7.617e-08, 6.512e-08, 5.547e-08, 4.709e-08, 3.915e-08, 3.259e-08,
824 2.738e-08, 2.327e-08, 1.98e-08, 1.711e-08, 1.493e-08, 1.306e-08,
825 1.165e-08, 1.049e-08, 9.439e-09, 8.375e-09, 7.391e-09, 6.525e-09,
826 5.759e-09, 5.083e-09, 4.485e-09, 3.953e-09, 3.601e-09, 3.27e-09,
827 2.975e-09, 2.757e-09, 2.556e-09, 2.37e-09, 2.195e-09, 2.032e-09,
828 1.912e-09, 1.79e-09, 1.679e-09, 1.572e-09, 1.482e-09, 1.402e-09,
829 1.326e-09, 1.254e-09, 1.187e-09, 1.127e-09, 1.071e-09, 1.02e-09,
830 9.673e-10, 9.193e-10, 8.752e-10, 8.379e-10, 8.017e-10, 7.66e-10,
831 7.319e-10, 7.004e-10, 6.721e-10, 6.459e-10, 6.199e-10, 5.942e-10,
832 5.703e-10, 5.488e-10, 5.283e-10, 5.082e-10, 4.877e-10, 4.696e-10,
833 4.52e-10, 4.355e-10, 4.198e-10, 4.039e-10, 3.888e-10, 3.754e-10,
834 3.624e-10, 3.499e-10, 3.381e-10, 3.267e-10, 3.163e-10, 3.058e-10,
835 2.959e-10, 2.864e-10, 2.77e-10, 2.686e-10, 2.604e-10, 2.534e-10,
836 2.462e-10, 2.386e-10, 2.318e-10, 2.247e-10, 2.189e-10, 2.133e-10,
837 2.071e-10, 2.014e-10, 1.955e-10, 1.908e-10, 1.86e-10, 1.817e-10
838 };
839
840 static const double n2o5[121] = {
841 1.231e-11, 3.035e-12, 1.702e-12, 9.877e-13, 8.081e-13, 9.039e-13,
842 1.169e-12, 1.474e-12, 1.651e-12, 1.795e-12, 1.998e-12, 2.543e-12,
843 4.398e-12, 7.698e-12, 1.28e-11, 2.131e-11, 3.548e-11, 5.894e-11,
844 7.645e-11, 1.089e-10, 1.391e-10, 1.886e-10, 2.386e-10, 2.986e-10,
845 3.487e-10, 3.994e-10, 4.5e-10, 4.6e-10, 4.591e-10, 4.1e-10, 3.488e-10,
846 2.846e-10, 2.287e-10, 1.696e-10, 1.011e-10, 6.428e-11, 4.324e-11,
847 2.225e-11, 6.214e-12, 3.608e-12, 8.793e-13, 4.491e-13, 1.04e-13,
848 6.1e-14, 3.436e-14, 6.671e-15, 1.171e-15, 5.848e-16, 1.212e-16,
849 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
850 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
851 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
852 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
853 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
854 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
855 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
856 1e-16, 1e-16
857 };
858
859 static const double nh3[121] = {
860 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10,
861 1e-10, 1e-10, 1e-10, 1e-10, 9.444e-11, 8.488e-11, 7.241e-11, 5.785e-11,
862 4.178e-11, 3.018e-11, 2.18e-11, 1.574e-11, 1.137e-11, 8.211e-12,
863 5.973e-12, 4.327e-12, 3.118e-12, 2.234e-12, 1.573e-12, 1.04e-12,
864 6.762e-13, 4.202e-13, 2.406e-13, 1.335e-13, 6.938e-14, 3.105e-14,
865 1.609e-14, 1.033e-14, 6.432e-15, 4.031e-15, 2.555e-15, 1.656e-15,
866 1.115e-15, 7.904e-16, 5.63e-16, 4.048e-16, 2.876e-16, 2.004e-16,
867 1.356e-16, 9.237e-17, 6.235e-17, 4.223e-17, 3.009e-17, 2.328e-17,
868 2.002e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
869 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
870 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
871 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
872 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
873 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
874 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
875 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
876 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
877 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
878 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
879 1.914e-17
880 };
881
882 static const double no[121] = {
883 2.586e-10, 4.143e-11, 1.566e-11, 9.591e-12, 8.088e-12, 8.462e-12,
884 1.013e-11, 1.328e-11, 1.855e-11, 2.678e-11, 3.926e-11, 5.464e-11,
885 7.012e-11, 8.912e-11, 1.127e-10, 1.347e-10, 1.498e-10, 1.544e-10,
886 1.602e-10, 1.824e-10, 2.078e-10, 2.366e-10, 2.691e-10, 5.141e-10,
887 8.259e-10, 1.254e-09, 1.849e-09, 2.473e-09, 3.294e-09, 4.16e-09,
888 5.095e-09, 6.11e-09, 6.93e-09, 7.888e-09, 8.903e-09, 9.713e-09,
889 1.052e-08, 1.115e-08, 1.173e-08, 1.21e-08, 1.228e-08, 1.239e-08,
890 1.231e-08, 1.213e-08, 1.192e-08, 1.138e-08, 1.085e-08, 1.008e-08,
891 9.224e-09, 8.389e-09, 7.262e-09, 6.278e-09, 5.335e-09, 4.388e-09,
892 3.589e-09, 2.761e-09, 2.129e-09, 1.633e-09, 1.243e-09, 9.681e-10,
893 8.355e-10, 7.665e-10, 7.442e-10, 8.584e-10, 9.732e-10, 1.063e-09,
894 1.163e-09, 1.286e-09, 1.472e-09, 1.707e-09, 2.032e-09, 2.474e-09,
895 2.977e-09, 3.506e-09, 4.102e-09, 5.013e-09, 6.493e-09, 8.414e-09,
896 1.077e-08, 1.367e-08, 1.777e-08, 2.625e-08, 3.926e-08, 5.545e-08,
897 7.195e-08, 9.464e-08, 1.404e-07, 2.183e-07, 3.329e-07, 4.535e-07,
898 6.158e-07, 8.187e-07, 1.075e-06, 1.422e-06, 1.979e-06, 2.71e-06,
899 3.58e-06, 4.573e-06, 5.951e-06, 7.999e-06, 1.072e-05, 1.372e-05,
900 1.697e-05, 2.112e-05, 2.643e-05, 3.288e-05, 3.994e-05, 4.794e-05,
901 5.606e-05, 6.383e-05, 7.286e-05, 8.156e-05, 8.883e-05, 9.469e-05,
902 9.848e-05, 0.0001023, 0.0001066, 0.0001115, 0.0001145, 0.0001142,
903 0.0001133
904 };
905
906 static const double no2[121] = {
907 3.036e-09, 2.945e-10, 9.982e-11, 5.069e-11, 3.485e-11, 2.982e-11,
908 2.947e-11, 3.164e-11, 3.714e-11, 4.586e-11, 6.164e-11, 8.041e-11,
909 9.982e-11, 1.283e-10, 1.73e-10, 2.56e-10, 3.909e-10, 5.959e-10,
910 9.081e-10, 1.384e-09, 1.788e-09, 2.189e-09, 2.686e-09, 3.091e-09,
911 3.49e-09, 3.796e-09, 4.2e-09, 5.103e-09, 6.005e-09, 6.3e-09, 6.706e-09,
912 7.07e-09, 7.434e-09, 7.663e-09, 7.788e-09, 7.8e-09, 7.597e-09,
913 7.482e-09, 7.227e-09, 6.403e-09, 5.585e-09, 4.606e-09, 3.703e-09,
914 2.984e-09, 2.183e-09, 1.48e-09, 8.441e-10, 5.994e-10, 3.799e-10,
915 2.751e-10, 1.927e-10, 1.507e-10, 1.102e-10, 6.971e-11, 5.839e-11,
916 3.904e-11, 3.087e-11, 2.176e-11, 1.464e-11, 1.209e-11, 8.497e-12,
917 6.477e-12, 4.371e-12, 2.914e-12, 2.424e-12, 1.753e-12, 1.35e-12,
918 9.417e-13, 6.622e-13, 5.148e-13, 3.841e-13, 3.446e-13, 3.01e-13,
919 2.551e-13, 2.151e-13, 1.829e-13, 1.64e-13, 1.475e-13, 1.352e-13,
920 1.155e-13, 9.963e-14, 9.771e-14, 9.577e-14, 9.384e-14, 9.186e-14,
921 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
922 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
923 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
924 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14
925 };
926
927 static const double o3[121] = {
928 2.218e-08, 3.394e-08, 3.869e-08, 4.219e-08, 4.501e-08, 4.778e-08,
929 5.067e-08, 5.402e-08, 5.872e-08, 6.521e-08, 7.709e-08, 9.461e-08,
930 1.269e-07, 1.853e-07, 2.723e-07, 3.964e-07, 5.773e-07, 8.2e-07,
931 1.155e-06, 1.59e-06, 2.076e-06, 2.706e-06, 3.249e-06, 3.848e-06,
932 4.459e-06, 4.986e-06, 5.573e-06, 5.958e-06, 6.328e-06, 6.661e-06,
933 6.9e-06, 7.146e-06, 7.276e-06, 7.374e-06, 7.447e-06, 7.383e-06,
934 7.321e-06, 7.161e-06, 6.879e-06, 6.611e-06, 6.216e-06, 5.765e-06,
935 5.355e-06, 4.905e-06, 4.471e-06, 4.075e-06, 3.728e-06, 3.413e-06,
936 3.125e-06, 2.856e-06, 2.607e-06, 2.379e-06, 2.17e-06, 1.978e-06,
937 1.8e-06, 1.646e-06, 1.506e-06, 1.376e-06, 1.233e-06, 1.102e-06,
938 9.839e-07, 8.771e-07, 7.814e-07, 6.947e-07, 6.102e-07, 5.228e-07,
939 4.509e-07, 3.922e-07, 3.501e-07, 3.183e-07, 2.909e-07, 2.686e-07,
940 2.476e-07, 2.284e-07, 2.109e-07, 2.003e-07, 2.013e-07, 2.022e-07,
941 2.032e-07, 2.042e-07, 2.097e-07, 2.361e-07, 2.656e-07, 2.989e-07,
942 3.37e-07, 3.826e-07, 4.489e-07, 5.26e-07, 6.189e-07, 7.312e-07,
943 8.496e-07, 8.444e-07, 8.392e-07, 8.339e-07, 8.286e-07, 8.234e-07,
944 8.181e-07, 8.129e-07, 8.077e-07, 8.026e-07, 6.918e-07, 5.176e-07,
945 3.865e-07, 2.885e-07, 2.156e-07, 1.619e-07, 1.219e-07, 9.161e-08,
946 6.972e-08, 5.399e-08, 3.498e-08, 2.111e-08, 1.322e-08, 8.482e-09,
947 5.527e-09, 3.423e-09, 2.071e-09, 1.314e-09, 8.529e-10, 5.503e-10,
948 3.665e-10
949 };
950
951 static const double ocs[121] = {
952 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 5.997e-10,
953 5.989e-10, 5.881e-10, 5.765e-10, 5.433e-10, 5.074e-10, 4.567e-10,
954 4.067e-10, 3.601e-10, 3.093e-10, 2.619e-10, 2.232e-10, 1.805e-10,
955 1.46e-10, 1.187e-10, 8.03e-11, 5.435e-11, 3.686e-11, 2.217e-11,
956 1.341e-11, 8.756e-12, 4.511e-12, 2.37e-12, 1.264e-12, 8.28e-13,
957 5.263e-13, 3.209e-13, 1.717e-13, 9.068e-14, 4.709e-14, 2.389e-14,
958 1.236e-14, 1.127e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
959 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
960 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
961 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
962 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
963 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
964 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
965 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
966 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
967 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
968 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
969 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
970 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
971 1.091e-14, 1.091e-14, 1.091e-14
972 };
973
974 static const double sf6[121] = {
975 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12,
976 4.103e-12, 4.103e-12, 4.103e-12, 4.087e-12, 4.064e-12, 4.023e-12,
977 3.988e-12, 3.941e-12, 3.884e-12, 3.755e-12, 3.622e-12, 3.484e-12,
978 3.32e-12, 3.144e-12, 2.978e-12, 2.811e-12, 2.653e-12, 2.489e-12,
979 2.332e-12, 2.199e-12, 2.089e-12, 2.013e-12, 1.953e-12, 1.898e-12,
980 1.859e-12, 1.826e-12, 1.798e-12, 1.776e-12, 1.757e-12, 1.742e-12,
981 1.728e-12, 1.717e-12, 1.707e-12, 1.698e-12, 1.691e-12, 1.685e-12,
982 1.679e-12, 1.675e-12, 1.671e-12, 1.668e-12, 1.665e-12, 1.663e-12,
983 1.661e-12, 1.659e-12, 1.658e-12, 1.657e-12, 1.656e-12, 1.655e-12,
984 1.654e-12, 1.653e-12, 1.653e-12, 1.652e-12, 1.652e-12, 1.652e-12,
985 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12,
986 1.651e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
987 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
988 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
989 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
990 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
991 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
992 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
993 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12
994 };
995
996 static const double so2[121] = {
997 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10,
998 1e-10, 1e-10, 9.867e-11, 9.537e-11, 9e-11, 8.404e-11, 7.799e-11,
999 7.205e-11, 6.616e-11, 6.036e-11, 5.475e-11, 5.007e-11, 4.638e-11,
1000 4.346e-11, 4.055e-11, 3.763e-11, 3.471e-11, 3.186e-11, 2.905e-11,
1001 2.631e-11, 2.358e-11, 2.415e-11, 2.949e-11, 3.952e-11, 5.155e-11,
1002 6.76e-11, 8.741e-11, 1.099e-10, 1.278e-10, 1.414e-10, 1.512e-10,
1003 1.607e-10, 1.699e-10, 1.774e-10, 1.832e-10, 1.871e-10, 1.907e-10,
1004 1.943e-10, 1.974e-10, 1.993e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1005 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1006 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1007 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1008 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1009 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1010 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1011 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10
1012 };
1013
1014 const double *q[NG] = { NULL };
1015
1016 /* Identify variable... */
1017 for (int ig = 0; ig < ctl->ng; ig++) {
1018 q[ig] = NULL;
1019 if (strcasecmp(ctl->emitter[ig], "C2H2") == 0)
1020 q[ig] = c2h2;
1021 if (strcasecmp(ctl->emitter[ig], "C2H6") == 0)
1022 q[ig] = c2h6;
1023 if (strcasecmp(ctl->emitter[ig], "CCl4") == 0)
1024 q[ig] = ccl4;
1025 if (strcasecmp(ctl->emitter[ig], "CH3OH") == 0)
1026 q[ig] = ch3oh;
1027 if (strcasecmp(ctl->emitter[ig], "CH4") == 0)
1028 q[ig] = ch4;
1029 if (strcasecmp(ctl->emitter[ig], "ClO") == 0)
1030 q[ig] = clo;
1031 if (strcasecmp(ctl->emitter[ig], "ClONO2") == 0)
1032 q[ig] = clono2;
1033 if (strcasecmp(ctl->emitter[ig], "CO") == 0)
1034 q[ig] = co;
1035 if (strcasecmp(ctl->emitter[ig], "COF2") == 0)
1036 q[ig] = cof2;
1037 if (strcasecmp(ctl->emitter[ig], "F11") == 0)
1038 q[ig] = f11;
1039 if (strcasecmp(ctl->emitter[ig], "F113") == 0)
1040 q[ig] = f113;
1041 if (strcasecmp(ctl->emitter[ig], "F114") == 0)
1042 q[ig] = f114;
1043 if (strcasecmp(ctl->emitter[ig], "F12") == 0)
1044 q[ig] = f12;
1045 if (strcasecmp(ctl->emitter[ig], "F14") == 0)
1046 q[ig] = f14;
1047 if (strcasecmp(ctl->emitter[ig], "F22") == 0)
1048 q[ig] = f22;
1049 if (strcasecmp(ctl->emitter[ig], "H2CO") == 0)
1050 q[ig] = h2co;
1051 if (strcasecmp(ctl->emitter[ig], "H2O") == 0)
1052 q[ig] = h2o;
1053 if (strcasecmp(ctl->emitter[ig], "H2O2") == 0)
1054 q[ig] = h2o2;
1055 if (strcasecmp(ctl->emitter[ig], "HCl") == 0)
1056 q[ig] = hcl;
1057 if (strcasecmp(ctl->emitter[ig], "HCN") == 0)
1058 q[ig] = hcn;
1059 if (strcasecmp(ctl->emitter[ig], "HF") == 0)
1060 q[ig] = hf;
1061 if (strcasecmp(ctl->emitter[ig], "HNO3") == 0)
1062 q[ig] = hno3;
1063 if (strcasecmp(ctl->emitter[ig], "HNO4") == 0)
1064 q[ig] = hno4;
1065 if (strcasecmp(ctl->emitter[ig], "HOCl") == 0)
1066 q[ig] = hocl;
1067 if (strcasecmp(ctl->emitter[ig], "N2O") == 0)
1068 q[ig] = n2o;
1069 if (strcasecmp(ctl->emitter[ig], "N2O5") == 0)
1070 q[ig] = n2o5;
1071 if (strcasecmp(ctl->emitter[ig], "NH3") == 0)
1072 q[ig] = nh3;
1073 if (strcasecmp(ctl->emitter[ig], "NO") == 0)
1074 q[ig] = no;
1075 if (strcasecmp(ctl->emitter[ig], "NO2") == 0)
1076 q[ig] = no2;
1077 if (strcasecmp(ctl->emitter[ig], "O3") == 0)
1078 q[ig] = o3;
1079 if (strcasecmp(ctl->emitter[ig], "OCS") == 0)
1080 q[ig] = ocs;
1081 if (strcasecmp(ctl->emitter[ig], "SF6") == 0)
1082 q[ig] = sf6;
1083 if (strcasecmp(ctl->emitter[ig], "SO2") == 0)
1084 q[ig] = so2;
1085 }
1086
1087 /* Loop over atmospheric data points... */
1088 for (int ip = 0; ip < atm->np; ip++) {
1089
1090 /* Get altitude index... */
1091 const int iz = locate_reg(z, 121, atm->z[ip]);
1092
1093 /* Interpolate pressure... */
1094 atm->p[ip] = LOGY(z[iz], pre[iz], z[iz + 1], pre[iz + 1], atm->z[ip]);
1095
1096 /* Interpolate temperature... */
1097 atm->t[ip] = LIN(z[iz], tem[iz], z[iz + 1], tem[iz + 1], atm->z[ip]);
1098
1099 /* Interpolate trace gases... */
1100 for (int ig = 0; ig < ctl->ng; ig++)
1101 if (q[ig] != NULL)
1102 atm->q[ig][ip] =
1103 LIN(z[iz], q[ig][iz], z[iz + 1], q[ig][iz + 1], atm->z[ip]);
1104 else
1105 atm->q[ig][ip] = 0;
1106
1107 /* Set CO2... */
1108 if (ctl->ig_co2 >= 0)
1109 atm->q[ctl->ig_co2][ip] =
1110 371.789948e-6 + 2.026214e-6 * (atm->time[ip] - 63158400.) / 31557600.;
1111
1112 /* Set N2... */
1113 if (ctl->ig_n2 >= 0)
1114 atm->q[ctl->ig_n2][ip] = N2;
1115
1116 /* Set O2... */
1117 if (ctl->ig_o2 >= 0)
1118 atm->q[ctl->ig_o2][ip] = O2;
1119
1120 /* Set extinction to zero... */
1121 for (int iw = 0; iw < ctl->nw; iw++)
1122 atm->k[iw][ip] = 0;
1123
1124 /* Set cloud layer... */
1125 atm->clz = atm->cldz = 0;
1126 for (int icl = 0; icl < ctl->ncl; icl++)
1127 atm->clk[icl] = 0;
1128
1129 /* Set surface... */
1130 atm->sft = 0;
1131 for (int isf = 0; isf < ctl->nsf; isf++)
1132 atm->sfeps[isf] = 1;
1133 }
1134}
int locate_reg(const double *xx, const int n, const double x)
Locate index for interpolation on a regular (uniform) grid.
Definition: jurassic.c:4501
#define O2
Oxygen concentration.
Definition: jurassic.h:179
#define LOGY(x0, y0, x1, y1, x)
Compute logarithmic interpolation in y.
Definition: jurassic.h:587
#define NG
Maximum number of emitters.
Definition: jurassic.h:243
#define N2
Nitrogen concentration.
Definition: jurassic.h:174
#define LIN(x0, y0, x1, y1, x)
Compute linear interpolation.
Definition: jurassic.h:566
double time[NP]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1249
int ig_co2
Emitter index of CO2.
Definition: jurassic.h:1305
int ig_o2
Emitter index of O2.
Definition: jurassic.h:1314
int ig_n2
Emitter index of N2.
Definition: jurassic.h:1311
char emitter[NG][LEN]
Name of each emitter.
Definition: jurassic.h:1302
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◆ cos_sza()

double cos_sza ( const double  sec,
const double  lon,
const double  lat 
)

Calculates the cosine of the solar zenith angle.

This function computes the cosine of the solar zenith angle (SZA), which describes the angle between the local zenith (straight up) and the line connecting the observer to the center of the Sun. The cosine of the SZA is often used directly in radiative transfer and photochemical calculations to avoid unnecessary use of trigonometric inverse functions.

Parameters
secSeconds elapsed since 2000-01-01T12:00Z.
lonObserver's longitude in degrees.
latObserver's latitude in degrees.
Returns
The cosine of the solar zenith angle (dimensionless, range [-1, 1]).

The cosine of the solar zenith angle is computed based on the observer's position (longitude and latitude) and the specified time in seconds elapsed since 2000-01-01T12:00Z.

Note
The input longitude and latitude must be specified in degrees.
See also
acos() — can be used to convert the returned value to the solar zenith angle in radians if needed.
Author
Lars Hoffmann

Definition at line 1138 of file jurassic.c.

1141 {
1142
1143 /* Number of days and fraction with respect to 2000-01-01T12:00Z... */
1144 const double D = sec / 86400 - 0.5;
1145
1146 /* Geocentric apparent ecliptic longitude [rad]... */
1147 const double g = DEG2RAD(357.529 + 0.98560028 * D);
1148 const double q = 280.459 + 0.98564736 * D;
1149 const double L = DEG2RAD(q + 1.915 * sin(g) + 0.020 * sin(2 * g));
1150
1151 /* Mean obliquity of the ecliptic [rad]... */
1152 const double e = DEG2RAD(23.439 - 0.00000036 * D);
1153
1154 /* Declination [rad]... */
1155 const double sindec = sin(e) * sin(L);
1156
1157 /* Right ascension [rad]... */
1158 const double ra = atan2(cos(e) * sin(L), cos(L));
1159
1160 /* Greenwich Mean Sidereal Time [h]... */
1161 const double GMST = 18.697374558 + 24.06570982441908 * D;
1162
1163 /* Local Sidereal Time [h]... */
1164 const double LST = GMST + lon / 15;
1165
1166 /* Hour angle [rad]... */
1167 const double h = LST / 12 * M_PI - ra;
1168
1169 /* Convert latitude... */
1170 const double lat_help = DEG2RAD(lat);
1171
1172 /* Return cosine of solar zenith angle... */
1173 return sin(lat_help) * sindec + cos(lat_help)
1174 * sqrt(1 - POW2(sindec)) * cos(h);
1175}
#define POW2(x)
Compute the square of a value.
Definition: jurassic.h:961
#define DEG2RAD(deg)
Convert degrees to radians.
Definition: jurassic.h:447

◆ cost_function()

double cost_function ( const gsl_vector *  dx,
const gsl_vector *  dy,
const gsl_matrix *  s_a_inv,
const gsl_vector *  sig_eps_inv 
)

Compute the normalized quadratic cost function for optimal estimation.

Evaluates the cost function

\[ J = \frac{1}{m} \left[ (\mathbf{y} - \mathbf{y_a})^T \mathbf{S_\epsilon^{-1}} (\mathbf{y} - \mathbf{y_a}) + (\mathbf{x} - \mathbf{x_a})^T \mathbf{S_a^{-1}} (\mathbf{x} - \mathbf{x_a}) \right] \]

where \(\mathbf{dx} = \mathbf{x} - \mathbf{x_a}\) and \(\mathbf{dy} = \mathbf{y} - \mathbf{y_a}\) represent the deviations from a priori state and measurement vectors, respectively.

Parameters
[in]dxState deviation vector (x - x_a).
[in]dyMeasurement deviation vector (y - y_a).
[in]s_a_invInverse of the a priori covariance matrix ( \(\mathbf{S_a^{-1}}\)).
[in]sig_eps_invVector of inverse measurement uncertainties ( \(\mathbf{S_\epsilon^{-1/2}}\) diagonal elements).
Returns
Normalized cost function value (dimensionless).
  • Implements the standard Optimal Estimation Method (Rodgers, 2000) cost function.
  • The first term ( \(\chi^2_m\)) measures the weighted measurement residuals: \(\chi^2_m = \sum_i (dy_i / \sigma_{\epsilon,i})^2\).
  • The second term ( \(\chi^2_a\)) measures the deviation from the a priori state: \(\chi^2_a = dx^T \mathbf{S_a^{-1}} dx\).
  • The result is normalized by the number of measurements \(m\) for scale consistency.
See also
retrieval, s_a_inv, sig_eps_inv
Note
  • Assumes diagonal measurement error covariance (independent measurements).
  • The covariance matrices must be positive-definite and properly dimensioned.
  • The function does not modify the input vectors.
Author
Lars Hoffmann

Definition at line 1179 of file jurassic.c.

1183 {
1184
1185 double chisq_a, chisq_m = 0;
1186
1187 /* Get sizes... */
1188 const size_t m = dy->size;
1189 const size_t n = dx->size;
1190
1191 /* Allocate... */
1192 gsl_vector *x_aux = gsl_vector_alloc(n);
1193
1194 /* Determine normalized cost function...
1195 (chi^2 = 1/m * [dy^T * S_eps^{-1} * dy + dx^T * S_a^{-1} * dx]) */
1196 for (size_t i = 0; i < m; i++)
1197 chisq_m += POW2(gsl_vector_get(dy, i) * gsl_vector_get(sig_eps_inv, i));
1198 gsl_blas_dgemv(CblasNoTrans, 1.0, s_a_inv, dx, 0.0, x_aux);
1199 gsl_blas_ddot(dx, x_aux, &chisq_a);
1200
1201 /* Free... */
1202 gsl_vector_free(x_aux);
1203
1204 /* Return cost function value... */
1205 return (chisq_m + chisq_a) / (double) m;
1206}

◆ ctmco2()

double ctmco2 ( const double  nu,
const double  p,
const double  t,
const double  u 
)

Compute carbon dioxide continuum (optical depth).

Author
Lars Hoffmann

Definition at line 1210 of file jurassic.c.

1214 {
1215
1216 static const double co2296[2001] =
1217 { 9.3388e-5, 9.7711e-5, 1.0224e-4, 1.0697e-4,
1218 1.1193e-4, 1.1712e-4, 1.2255e-4, 1.2824e-4, 1.3419e-4, 1.4043e-4,
1219 1.4695e-4, 1.5378e-4, 1.6094e-4, 1.6842e-4, 1.7626e-4, 1.8447e-4,
1220 1.9307e-4, 2.0207e-4, 2.1149e-4, 2.2136e-4, 2.3169e-4, 2.4251e-4,
1221 2.5384e-4, 2.657e-4, 2.7813e-4, 2.9114e-4, 3.0477e-4, 3.1904e-4,
1222 3.3399e-4, 3.4965e-4, 3.6604e-4, 3.8322e-4, 4.0121e-4, 4.2006e-4,
1223 4.398e-4, 4.6047e-4, 4.8214e-4, 5.0483e-4, 5.286e-4, 5.535e-4,
1224 5.7959e-4, 6.0693e-4, 6.3557e-4, 6.6558e-4, 6.9702e-4, 7.2996e-4,
1225 7.6449e-4, 8.0066e-4, 8.3856e-4, 8.7829e-4, 9.1991e-4, 9.6354e-4,
1226 .0010093, .0010572, .0011074, .00116, .0012152, .001273,
1227 .0013336, .0013972, .0014638, .0015336, .0016068, .0016835,
1228 .001764, .0018483, .0019367, .0020295, .0021267, .0022286,
1229 .0023355, .0024476, .0025652, .0026885, .0028178, .0029534,
1230 .0030956, .0032448, .0034012, .0035654, .0037375, .0039181,
1231 .0041076, .0043063, .0045148, .0047336, .0049632, .005204,
1232 .0054567, .0057219, .0060002, .0062923, .0065988, .0069204,
1233 .007258, .0076123, .0079842, .0083746, .0087844, .0092146,
1234 .0096663, .01014, .010638, .011161, .01171, .012286, .012891,
1235 .013527, .014194, .014895, .015631, .016404, .017217, .01807,
1236 .018966, .019908, .020897, .021936, .023028, .024176, .025382,
1237 .026649, .027981, .02938, .030851, .032397, .034023, .035732,
1238 .037528, .039416, .041402, .04349, .045685, .047994, .050422,
1239 .052975, .055661, .058486, .061458, .064584, .067873, .071334,
1240 .074975, .078807, .082839, .087082, .091549, .096249, .1012,
1241 .10641, .11189, .11767, .12375, .13015, .13689, .14399, .15147,
1242 .15935, .16765, .17639, .18561, .19531, .20554, .21632, .22769,
1243 .23967, .25229, .2656, .27964, .29443, .31004, .3265, .34386,
1244 .36218, .3815, .40188, .42339, .44609, .47004, .49533, .52202,
1245 .5502, .57995, .61137, .64455, .6796, .71663, .75574, .79707,
1246 .84075, .88691, .9357, .98728, 1.0418, 1.0995, 1.1605, 1.225,
1247 1.2932, 1.3654, 1.4418, 1.5227, 1.6083, 1.6989, 1.7948, 1.8964,
1248 2.004, 2.118, 2.2388, 2.3668, 2.5025, 2.6463, 2.7988, 2.9606,
1249 3.1321, 3.314, 3.5071, 3.712, 3.9296, 4.1605, 4.4058, 4.6663,
1250 4.9431, 5.2374, 5.5501, 5.8818, 6.2353, 6.6114, 7.0115, 7.4372,
1251 7.8905, 8.3731, 8.8871, 9.4349, 10.019, 10.641, 11.305, 12.013,
1252 12.769, 13.576, 14.437, 15.358, 16.342, 17.39, 18.513, 19.716,
1253 21.003, 22.379, 23.854, 25.436, 27.126, 28.942, 30.89, 32.973,
1254 35.219, 37.634, 40.224, 43.021, 46.037, 49.29, 52.803, 56.447,
1255 60.418, 64.792, 69.526, 74.637, 80.182, 86.193, 92.713, 99.786,
1256 107.47, 115.84, 124.94, 134.86, 145.69, 157.49, 170.3, 184.39,
1257 199.83, 216.4, 234.55, 254.72, 276.82, 299.85, 326.16, 354.99,
1258 386.51, 416.68, 449.89, 490.12, 534.35, 578.25, 632.26, 692.61,
1259 756.43, 834.75, 924.11, 1016.9, 996.96, 1102.7, 1219.2, 1351.9,
1260 1494.3, 1654.1, 1826.5, 2027.9, 2249., 2453.8, 2714.4, 2999.4,
1261 3209.5, 3509., 3840.4, 3907.5, 4190.7, 4533.5, 4648.3, 5059.1,
1262 5561.6, 6191.4, 6820.8, 7905.9, 9362.2, 2431.3, 2211.3, 2046.8,
1263 2023.8, 1985.9, 1905.9, 1491.1, 1369.8, 1262.2, 1200.7, 887.74,
1264 820.25, 885.23, 887.21, 816.73, 1126.9, 1216.2, 1272.4, 1579.5,
1265 1634.2, 1656.3, 1657.9, 1789.5, 1670.8, 1509.5, 8474.6, 7489.2,
1266 6793.6, 6117., 5574.1, 5141.2, 5084.6, 4745.1, 4413.2, 4102.8,
1267 4024.7, 3715., 3398.6, 3100.8, 2900.4, 2629.2, 2374., 2144.7,
1268 1955.8, 1760.8, 1591.2, 1435.2, 1296.2, 1174., 1065.1, 967.76,
1269 999.48, 897.45, 809.23, 732.77, 670.26, 611.93, 560.11, 518.77,
1270 476.84, 438.8, 408.48, 380.21, 349.24, 322.71, 296.65, 272.85,
1271 251.96, 232.04, 213.88, 197.69, 182.41, 168.41, 155.79, 144.05,
1272 133.31, 123.48, 114.5, 106.21, 98.591, 91.612, 85.156, 79.204,
1273 73.719, 68.666, 63.975, 59.637, 56.35, 52.545, 49.042, 45.788,
1274 42.78, 39.992, 37.441, 35.037, 32.8, 30.744, 28.801, 26.986,
1275 25.297, 23.731, 22.258, 20.883, 19.603, 18.403, 17.295, 16.249,
1276 15.271, 14.356, 13.501, 12.701, 11.954, 11.254, 10.6, 9.9864,
1277 9.4118, 8.8745, 8.3714, 7.8997, 7.4578, 7.0446, 6.6573, 6.2949,
1278 5.9577, 5.6395, 5.3419, 5.063, 4.8037, 4.5608, 4.3452, 4.1364,
1279 3.9413, 3.7394, 3.562, 3.3932, 3.2325, 3.0789, 2.9318, 2.7898,
1280 2.6537, 2.5225, 2.3958, 2.2305, 2.1215, 2.0245, 1.9427, 1.8795,
1281 1.8336, 1.7604, 1.7016, 1.6419, 1.5282, 1.4611, 1.3443, 1.27,
1282 1.1675, 1.0824, 1.0534, .99833, .95854, .92981, .90887, .89346,
1283 .88113, .87068, .86102, .85096, .88262, .86151, .83565, .80518,
1284 .77045, .73736, .74744, .74954, .75773, .82267, .83493, .89402,
1285 .89725, .93426, .95564, .94045, .94174, .93404, .92035, .90456,
1286 .88621, .86673, .78117, .7515, .72056, .68822, .65658, .62764,
1287 .55984, .55598, .57407, .60963, .63763, .66198, .61132, .60972,
1288 .52496, .50649, .41872, .3964, .32422, .27276, .24048, .23772,
1289 .2286, .22711, .23999, .32038, .34371, .36621, .38561, .39953,
1290 .40636, .44913, .42716, .3919, .35477, .33935, .3351, .39746,
1291 .40993, .49398, .49956, .56157, .54742, .57295, .57386, .55417,
1292 .50745, .471, .43446, .39102, .34993, .31269, .27888, .24912,
1293 .22291, .19994, .17972, .16197, .14633, .13252, .12029, .10942,
1294 .099745, .091118, .083404, .076494, .070292, .064716, .059697,
1295 .055173, .051093, .047411, .044089, .041092, .038392, .035965,
1296 .033789, .031846, .030122, .028607, .02729, .026169, .025209,
1297 .024405, .023766, .023288, .022925, .022716, .022681, .022685,
1298 .022768, .023133, .023325, .023486, .024004, .024126, .024083,
1299 .023785, .024023, .023029, .021649, .021108, .019454, .017809,
1300 .017292, .016635, .017037, .018068, .018977, .018756, .017847,
1301 .016557, .016142, .014459, .012869, .012381, .010875, .0098701,
1302 .009285, .0091698, .0091701, .0096145, .010553, .01106, .012613,
1303 .014362, .015017, .016507, .017741, .01768, .017784, .0171,
1304 .016357, .016172, .017257, .018978, .020935, .021741, .023567,
1305 .025183, .025589, .026732, .027648, .028278, .028215, .02856,
1306 .029015, .029062, .028851, .028497, .027825, .027801, .026523,
1307 .02487, .022967, .022168, .020194, .018605, .017903, .018439,
1308 .019697, .020311, .020855, .020057, .018608, .016738, .015963,
1309 .013844, .011801, .011134, .0097573, .0086007, .0086226,
1310 .0083721, .0090978, .0097616, .0098426, .011317, .012853, .01447,
1311 .014657, .015771, .016351, .016079, .014829, .013431, .013185,
1312 .013207, .01448, .016176, .017971, .018265, .019526, .020455,
1313 .019797, .019802, .0194, .018176, .017505, .016197, .015339,
1314 .014401, .013213, .012203, .011186, .010236, .0093288, .0084854,
1315 .0076837, .0069375, .0062614, .0056628, .0051153, .0046015,
1316 .0041501, .003752, .0033996, .0030865, .0028077, .0025586,
1317 .0023355, .0021353, .0019553, .0017931, .0016466, .0015141,
1318 .0013941, .0012852, .0011862, .0010962, .0010142, 9.3935e-4,
1319 8.71e-4, 8.0851e-4, 7.5132e-4, 6.9894e-4, 6.5093e-4, 6.0689e-4,
1320 5.6647e-4, 5.2935e-4, 4.9525e-4, 4.6391e-4, 4.3509e-4, 4.086e-4,
1321 3.8424e-4, 3.6185e-4, 3.4126e-4, 3.2235e-4, 3.0498e-4, 2.8904e-4,
1322 2.7444e-4, 2.6106e-4, 2.4883e-4, 2.3766e-4, 2.275e-4, 2.1827e-4,
1323 2.0992e-4, 2.0239e-4, 1.9563e-4, 1.896e-4, 1.8427e-4, 1.796e-4,
1324 1.7555e-4, 1.7209e-4, 1.692e-4, 1.6687e-4, 1.6505e-4, 1.6375e-4,
1325 1.6294e-4, 1.6261e-4, 1.6274e-4, 1.6334e-4, 1.6438e-4, 1.6587e-4,
1326 1.678e-4, 1.7017e-4, 1.7297e-4, 1.762e-4, 1.7988e-4, 1.8399e-4,
1327 1.8855e-4, 1.9355e-4, 1.9902e-4, 2.0494e-4, 2.1134e-4, 2.1823e-4,
1328 2.2561e-4, 2.335e-4, 2.4192e-4, 2.5088e-4, 2.604e-4, 2.705e-4,
1329 2.8119e-4, 2.9251e-4, 3.0447e-4, 3.171e-4, 3.3042e-4, 3.4447e-4,
1330 3.5927e-4, 3.7486e-4, 3.9127e-4, 4.0854e-4, 4.267e-4, 4.4579e-4,
1331 4.6586e-4, 4.8696e-4, 5.0912e-4, 5.324e-4, 5.5685e-4, 5.8253e-4,
1332 6.0949e-4, 6.378e-4, 6.6753e-4, 6.9873e-4, 7.3149e-4, 7.6588e-4,
1333 8.0198e-4, 8.3987e-4, 8.7964e-4, 9.2139e-4, 9.6522e-4, .0010112,
1334 .0010595, .0011102, .0011634, .0012193, .001278, .0013396,
1335 .0014043, .0014722, .0015436, .0016185, .0016972, .0017799,
1336 .0018668, .001958, .0020539, .0021547, .0022606, .0023719,
1337 .002489, .002612, .0027414, .0028775, .0030206, .0031712,
1338 .0033295, .0034962, .0036716, .0038563, .0040506, .0042553,
1339 .0044709, .004698, .0049373, .0051894, .0054552, .0057354,
1340 .006031, .0063427, .0066717, .0070188, .0073854, .0077726,
1341 .0081816, .0086138, .0090709, .0095543, .010066, .010607,
1342 .011181, .011789, .012433, .013116, .013842, .014613, .015432,
1343 .016304, .017233, .018224, .019281, .020394, .021574, .022836,
1344 .024181, .025594, .027088, .028707, .030401, .032245, .034219,
1345 .036262, .038539, .040987, .043578, .04641, .04949, .052726,
1346 .056326, .0602, .064093, .068521, .073278, .077734, .083064,
1347 .088731, .093885, .1003, .1072, .11365, .12187, .13078, .13989,
1348 .15095, .16299, .17634, .19116, .20628, .22419, .24386, .26587,
1349 .28811, .31399, .34321, .36606, .39675, .42742, .44243, .47197,
1350 .49993, .49027, .51147, .52803, .48931, .49729, .5026, .43854,
1351 .441, .44766, .43414, .46151, .50029, .55247, .43855, .32115,
1352 .32607, .3431, .36119, .38029, .41179, .43996, .47144, .51853,
1353 .55362, .59122, .66338, .69877, .74001, .82923, .86907, .90361,
1354 1.0025, 1.031, 1.0559, 1.104, 1.1178, 1.1341, 1.1547, 1.351,
1355 1.4772, 1.4812, 1.4907, 1.512, 1.5442, 1.5853, 1.6358, 1.6963,
1356 1.7674, 1.8474, 1.9353, 2.0335, 2.143, 2.2592, 2.3853, 2.5217,
1357 2.6686, 2.8273, 2.9998, 3.183, 3.3868, 3.6109, 3.8564, 4.1159,
1358 4.4079, 4.7278, 5.0497, 5.3695, 5.758, 6.0834, 6.4976, 6.9312,
1359 7.38, 7.5746, 7.9833, 8.3791, 8.3956, 8.7501, 9.1067, 9.072,
1360 9.4649, 9.9112, 10.402, 10.829, 11.605, 12.54, 12.713, 10.443,
1361 10.825, 11.375, 11.955, 12.623, 13.326, 14.101, 15.041, 15.547,
1362 16.461, 17.439, 18.716, 19.84, 21.036, 22.642, 23.901, 25.244,
1363 27.03, 28.411, 29.871, 31.403, 33.147, 34.744, 36.456, 39.239,
1364 43.605, 45.162, 47.004, 49.093, 51.391, 53.946, 56.673, 59.629,
1365 63.167, 66.576, 70.254, 74.222, 78.477, 83.034, 87.914, 93.18,
1366 98.77, 104.74, 111.15, 117.95, 125.23, 133.01, 141.33, 150.21,
1367 159.71, 169.89, 180.93, 192.54, 204.99, 218.34, 232.65, 248.,
1368 264.47, 282.14, 301.13, 321.53, 343.48, 367.08, 392.5, 419.88,
1369 449.4, 481.26, 515.64, 552.79, 592.99, 636.48, 683.61, 734.65,
1370 789.99, 850.02, 915.14, 985.81, 1062.5, 1147.1, 1237.8, 1336.4,
1371 1443.2, 1558.9, 1684.2, 1819.2, 1965.2, 2122.6, 2291.7, 2470.8,
1372 2665.7, 2874.9, 3099.4, 3337.9, 3541., 3813.3, 4111.9, 4439.3,
1373 4798.9, 5196., 5639.2, 6087.5, 6657.7, 7306.7, 8040.7, 8845.5,
1374 9702.2, 10670., 11739., 12842., 14141., 15498., 17068., 18729.,
1375 20557., 22559., 25248., 27664., 30207., 32915., 35611., 38081.,
1376 40715., 43191., 41651., 42750., 43785., 44353., 44366., 44189.,
1377 43618., 42862., 41878., 35133., 35215., 36383., 39420., 44055.,
1378 44155., 45850., 46853., 39197., 38274., 29942., 28553., 21792.,
1379 21228., 17106., 14955., 18181., 19557., 21427., 23728., 26301.,
1380 28584., 30775., 32536., 33867., 40089., 39204., 37329., 34452.,
1381 31373., 33921., 34800., 36043., 44415., 45162., 52181., 50895.,
1382 54140., 50840., 50468., 48302., 44915., 40910., 36754., 32755.,
1383 29093., 25860., 22962., 20448., 18247., 16326., 14645., 13165.,
1384 11861., 10708., 9686.9, 8779.7, 7971.9, 7250.8, 6605.7, 6027.2,
1385 5507.3, 5039.1, 4616.6, 4234.8, 3889., 3575.4, 3290.5, 3031.3,
1386 2795.2, 2579.9, 2383.1, 2203.3, 2038.6, 1887.6, 1749.1, 1621.9,
1387 1505., 1397.4, 1298.3, 1207., 1122.8, 1045., 973.1, 906.64,
1388 845.16, 788.22, 735.48, 686.57, 641.21, 599.1, 559.99, 523.64,
1389 489.85, 458.42, 429.16, 401.92, 376.54, 352.88, 330.82, 310.24,
1390 291.03, 273.09, 256.34, 240.69, 226.05, 212.37, 199.57, 187.59,
1391 176.37, 165.87, 156.03, 146.82, 138.17, 130.07, 122.47, 115.34,
1392 108.65, 102.37, 96.473, 90.934, 85.73, 80.84, 76.243, 71.922,
1393 67.858, 64.034, 60.438, 57.052, 53.866, 50.866, 48.04, 45.379,
1394 42.872, 40.51, 38.285, 36.188, 34.211, 32.347, 30.588, 28.929,
1395 27.362, 25.884, 24.489, 23.171, 21.929, 20.755, 19.646, 18.599,
1396 17.61, 16.677, 15.795, 14.961, 14.174, 13.43, 12.725, 12.06,
1397 11.431, 10.834, 10.27, 9.7361, 9.2302, 8.7518, 8.2997, 7.8724,
1398 7.4674, 7.0848, 6.7226, 6.3794, 6.054, 5.745, 5.4525, 5.1752,
1399 4.9121, 4.6625, 4.4259, 4.2015, 3.9888, 3.7872, 3.5961, 3.4149,
1400 3.2431, 3.0802, 2.9257, 2.7792, 2.6402, 2.5084, 2.3834, 2.2648,
1401 2.1522, 2.0455, 1.9441, 1.848, 1.7567, 1.6701, 1.5878, 1.5097,
1402 1.4356, 1.3651, 1.2981, 1.2345, 1.174, 1.1167, 1.062, 1.0101,
1403 .96087, .91414, .86986, .82781, .78777, .74971, .71339, .67882,
1404 .64604, .61473, .58507, .55676, .52987, .5044, .48014, .45715,
1405 .43527, .41453, .3948, .37609, .35831, .34142, .32524, .30995,
1406 .29536, .28142, .26807, .25527, .24311, .23166, .22077, .21053,
1407 .20081, .19143, .18261, .17407, .16603, .15833, .15089, .14385,
1408 .13707, .13065, .12449, .11865, .11306, .10774, .10266, .097818,
1409 .093203, .088815, .084641, .080671, .076892, .073296, .069873,
1410 .066613, .06351, .060555, .05774, .055058, .052504, .050071,
1411 .047752, .045543, .043438, .041432, .039521, .037699, .035962,
1412 .034307, .032729, .031225, .029791, .028423, .02712, .025877,
1413 .024692, .023563, .022485, .021458, .020478, .019543, .018652,
1414 .017802, .016992, .016219, .015481, .014778, .014107, .013467,
1415 .012856, .012274, .011718, .011188, .010682, .0102, .0097393,
1416 .0093001, .008881, .0084812, .0080997, .0077358, .0073885,
1417 .0070571, .0067409, .0064393, .0061514, .0058768, .0056147,
1418 .0053647, .0051262, .0048987, .0046816, .0044745, .0042769,
1419 .0040884, .0039088, .0037373, .0035739, .003418, .0032693,
1420 .0031277, .0029926, .0028639, .0027413, .0026245, .0025133,
1421 .0024074, .0023066, .0022108, .0021196, .002033, .0019507,
1422 .0018726, .0017985, .0017282, .0016617, .0015988, .0015394,
1423 .0014834, .0014306, .0013811, .0013346, .0012911, .0012506,
1424 .0012131, .0011784, .0011465, .0011175, .0010912, .0010678,
1425 .0010472, .0010295, .0010147, .001003, 9.9428e-4, 9.8883e-4,
1426 9.8673e-4, 9.8821e-4, 9.9343e-4, .0010027, .0010164, .0010348,
1427 .0010586, .0010882, .0011245, .0011685, .0012145, .0012666,
1428 .0013095, .0013688, .0014048, .0014663, .0015309, .0015499,
1429 .0016144, .0016312, .001705, .0017892, .0018499, .0019715,
1430 .0021102, .0022442, .0024284, .0025893, .0027703, .0029445,
1431 .0031193, .003346, .0034552, .0036906, .0037584, .0040084,
1432 .0041934, .0044587, .0047093, .0049759, .0053421, .0055134,
1433 .0059048, .0058663, .0061036, .0063259, .0059657, .0060653,
1434 .0060972, .0055539, .0055653, .0055772, .005331, .0054953,
1435 .0055919, .0058684, .006183, .0066675, .0069808, .0075142,
1436 .0078536, .0084282, .0089454, .0094625, .0093703, .0095857,
1437 .0099283, .010063, .010521, .0097778, .0098175, .010379, .010447,
1438 .0105, .010617, .010706, .01078, .011177, .011212, .011304,
1439 .011446, .011603, .011816, .012165, .012545, .013069, .013539,
1440 .01411, .014776, .016103, .017016, .017994, .018978, .01998,
1441 .021799, .022745, .023681, .024627, .025562, .026992, .027958,
1442 .029013, .030154, .031402, .03228, .033651, .035272, .037088,
1443 .039021, .041213, .043597, .045977, .04877, .051809, .054943,
1444 .058064, .061528, .06537, .069309, .071928, .075752, .079589,
1445 .083352, .084096, .087497, .090817, .091198, .094966, .099045,
1446 .10429, .10867, .11518, .12269, .13126, .14087, .15161, .16388,
1447 .16423, .1759, .18721, .19994, .21275, .22513, .23041, .24231,
1448 .25299, .25396, .26396, .27696, .27929, .2908, .30595, .31433,
1449 .3282, .3429, .35944, .37467, .39277, .41245, .43326, .45649,
1450 .48152, .51897, .54686, .57877, .61263, .64962, .68983, .73945,
1451 .78619, .83537, .89622, .95002, 1.0067, 1.0742, 1.1355, 1.2007,
1452 1.2738, 1.347, 1.4254, 1.5094, 1.6009, 1.6976, 1.8019, 1.9148,
1453 2.0357, 2.166, 2.3066, 2.4579, 2.6208, 2.7966, 2.986, 3.188,
1454 3.4081, 3.6456, 3.9, 4.1747, 4.4712, 4.7931, 5.1359, 5.5097,
1455 5.9117, 6.3435, 6.8003, 7.3001, 7.8385, 8.3945, 9.011, 9.6869,
1456 10.392, 11.18, 12.036, 12.938, 13.944, 14.881, 16.029, 17.255,
1457 18.574, 19.945, 21.38, 22.9, 24.477, 26.128, 27.87, 29.037,
1458 30.988, 33.145, 35.506, 37.76, 40.885, 44.487, 48.505, 52.911,
1459 57.56, 61.964, 67.217, 72.26, 78.343, 85.08, 91.867, 99.435,
1460 107.68, 116.97, 127.12, 138.32, 150.26, 163.04, 174.81, 189.26,
1461 205.61, 224.68, 240.98, 261.88, 285.1, 307.58, 334.35, 363.53,
1462 394.68, 427.85, 458.85, 489.25, 472.87, 486.93, 496.27, 501.52,
1463 501.57, 497.14, 488.09, 476.32, 393.76, 388.51, 393.42, 414.45,
1464 455.12, 514.62, 520.38, 547.42, 562.6, 487.47, 480.83, 391.06,
1465 376.92, 303.7, 295.91, 256.03, 236.73, 280.38, 310.71, 335.53,
1466 367.88, 401.94, 435.52, 469.13, 497.94, 588.82, 597.94, 597.2,
1467 588.28, 571.2, 555.75, 603.56, 638.15, 680.75, 801.72, 848.01,
1468 962.15, 990.06, 1068.1, 1076.2, 1115.3, 1134.2, 1136.6, 1119.1,
1469 1108.9, 1090.6, 1068.7, 1041.9, 1005.4, 967.98, 927.08, 780.1,
1470 751.41, 733.12, 742.65, 785.56, 855.16, 852.45, 878.1, 784.59,
1471 777.81, 765.13, 622.93, 498.09, 474.89, 386.9, 378.48, 336.17,
1472 322.04, 329.57, 350.5, 383.38, 420.02, 462.39, 499.71, 531.98,
1473 654.99, 653.43, 639.99, 605.16, 554.16, 504.42, 540.64, 552.33,
1474 679.46, 699.51, 713.91, 832.17, 919.91, 884.96, 907.57, 846.56,
1475 818.56, 768.93, 706.71, 642.17, 575.95, 515.38, 459.07, 409.02,
1476 364.61, 325.46, 291.1, 260.89, 234.39, 211.01, 190.38, 172.11,
1477 155.91, 141.49, 128.63, 117.13, 106.84, 97.584, 89.262, 81.756,
1478 74.975, 68.842, 63.28, 58.232, 53.641, 49.46, 45.649, 42.168,
1479 38.991, 36.078, 33.409, 30.96, 28.71, 26.642, 24.737, 22.985,
1480 21.37, 19.882, 18.512, 17.242, 16.073, 14.987, 13.984, 13.05,
1481 12.186, 11.384, 10.637, 9.9436, 9.2988, 8.6991, 8.141, 7.6215,
1482 7.1378, 6.6872, 6.2671, 5.8754, 5.51, 5.1691, 4.851, 4.5539,
1483 4.2764, 4.0169, 3.7742, 3.5472, 3.3348, 3.1359, 2.9495, 2.7749,
1484 2.6113, 2.4578, 2.3139, 2.1789, 2.0523, 1.9334, 1.8219, 1.7171,
1485 1.6188, 1.5263, 1.4395, 1.3579, 1.2812, 1.209, 1.1411, 1.0773,
1486 1.0171, .96048, .90713, .85684, .80959, .76495, .72282, .68309,
1487 .64563, .61035, .57707, .54573, .51622, .48834, .46199, .43709,
1488 .41359, .39129, .37034, .35064, .33198, .31442, .29784, .28218,
1489 .26732, .25337, .24017, .22774, .21601, .20479, .19426
1490 };
1491
1492 static const double co2260[2001] =
1493 { 5.7971e-5, 6.0733e-5, 6.3628e-5, 6.6662e-5,
1494 6.9843e-5, 7.3176e-5, 7.6671e-5, 8.0334e-5, 8.4175e-5, 8.8201e-5,
1495 9.2421e-5, 9.6846e-5, 1.0149e-4, 1.0635e-4, 1.1145e-4, 1.1679e-4,
1496 1.224e-4, 1.2828e-4, 1.3444e-4, 1.409e-4, 1.4768e-4, 1.5479e-4,
1497 1.6224e-4, 1.7006e-4, 1.7826e-4, 1.8685e-4, 1.9587e-4, 2.0532e-4,
1498 2.1524e-4, 2.2565e-4, 2.3656e-4, 2.48e-4, 2.6001e-4, 2.7261e-4,
1499 2.8582e-4, 2.9968e-4, 3.1422e-4, 3.2948e-4, 3.4548e-4, 3.6228e-4,
1500 3.799e-4, 3.9838e-4, 4.1778e-4, 4.3814e-4, 4.595e-4, 4.8191e-4,
1501 5.0543e-4, 5.3012e-4, 5.5603e-4, 5.8321e-4, 6.1175e-4, 6.417e-4,
1502 6.7314e-4, 7.0614e-4, 7.4078e-4, 7.7714e-4, 8.1531e-4, 8.5538e-4,
1503 8.9745e-4, 9.4162e-4, 9.8798e-4, .0010367, .0010878, .0011415,
1504 .0011978, .001257, .0013191, .0013844, .001453, .0015249,
1505 .0016006, .00168, .0017634, .001851, .001943, .0020397, .0021412,
1506 .0022479, .00236, .0024778, .0026015, .0027316, .0028682,
1507 .0030117, .0031626, .0033211, .0034877, .0036628, .0038469,
1508 .0040403, .0042436, .0044574, .004682, .0049182, .0051665,
1509 .0054276, .0057021, .0059907, .0062942, .0066133, .0069489,
1510 .0073018, .0076729, .0080632, .0084738, .0089056, .0093599,
1511 .0098377, .01034, .010869, .011426, .012011, .012627, .013276,
1512 .013958, .014676, .015431, .016226, .017063, .017944, .018872,
1513 .019848, .020876, .021958, .023098, .024298, .025561, .026892,
1514 .028293, .029769, .031323, .032961, .034686, .036503, .038418,
1515 .040435, .042561, .044801, .047161, .049649, .052271, .055035,
1516 .057948, .061019, .064256, .06767, .07127, .075066, .079069,
1517 .083291, .087744, .092441, .097396, .10262, .10814, .11396,
1518 .1201, .12658, .13342, .14064, .14826, .1563, .1648, .17376,
1519 .18323, .19324, .2038, .21496, .22674, .23919, .25234, .26624,
1520 .28093, .29646, .31287, .33021, .34855, .36794, .38844, .41012,
1521 .43305, .45731, .48297, .51011, .53884, .56924, .60141, .63547,
1522 .67152, .70969, .75012, .79292, .83826, .8863, .93718, .99111,
1523 1.0482, 1.1088, 1.173, 1.2411, 1.3133, 1.3898, 1.471, 1.5571,
1524 1.6485, 1.7455, 1.8485, 1.9577, 2.0737, 2.197, 2.3278, 2.4668,
1525 2.6145, 2.7715, 2.9383, 3.1156, 3.3042, 3.5047, 3.7181, 3.9451,
1526 4.1866, 4.4437, 4.7174, 5.0089, 5.3192, 5.65, 6.0025, 6.3782,
1527 6.7787, 7.206, 7.6617, 8.1479, 8.6669, 9.221, 9.8128, 10.445,
1528 11.12, 11.843, 12.615, 13.441, 14.325, 15.271, 16.283, 17.367,
1529 18.529, 19.776, 21.111, 22.544, 24.082, 25.731, 27.504, 29.409,
1530 31.452, 33.654, 36.024, 38.573, 41.323, 44.29, 47.492, 50.951,
1531 54.608, 58.588, 62.929, 67.629, 72.712, 78.226, 84.207, 90.699,
1532 97.749, 105.42, 113.77, 122.86, 132.78, 143.61, 155.44, 168.33,
1533 182.48, 198.01, 214.87, 233.39, 253.86, 276.34, 300.3, 327.28,
1534 356.89, 389.48, 422.29, 458.99, 501.39, 548.13, 595.62, 652.74,
1535 716.54, 784.57, 866.78, 960.59, 1062.8, 1072.5, 1189.5, 1319.4,
1536 1467.6, 1630.2, 1813.7, 2016.9, 2253., 2515.3, 2773.5, 3092.8,
1537 3444.4, 3720.4, 4104.3, 4527.5, 4645.9, 5021.7, 5462.2, 5597.,
1538 6110.6, 6732.5, 7513.8, 8270.6, 9640.6, 11487., 2796.1, 2680.1,
1539 2441.6, 2404.2, 2334.8, 2215.2, 1642.5, 1477.9, 1328.1, 1223.5,
1540 843.34, 766.96, 831.65, 834.84, 774.85, 1156.3, 1275.6, 1366.1,
1541 1795.6, 1885., 1936.5, 1953.4, 2154.4, 2002.7, 1789.8, 10381.,
1542 9040., 8216.5, 7384.7, 6721.9, 6187.7, 6143.8, 5703.9, 5276.6,
1543 4873.1, 4736., 4325.3, 3927., 3554.1, 3286.1, 2950.1, 2642.4,
1544 2368.7, 2138.9, 1914., 1719.6, 1543.9, 1388.6, 1252.1, 1132.2,
1545 1024.1, 1025.4, 920.58, 829.59, 750.54, 685.01, 624.25, 570.14,
1546 525.81, 481.85, 441.95, 408.71, 377.23, 345.86, 318.51, 292.26,
1547 268.34, 247.04, 227.14, 209.02, 192.69, 177.59, 163.78, 151.26,
1548 139.73, 129.19, 119.53, 110.7, 102.57, 95.109, 88.264, 81.948,
1549 76.13, 70.768, 65.827, 61.251, 57.022, 53.495, 49.824, 46.443,
1550 43.307, 40.405, 37.716, 35.241, 32.923, 30.77, 28.78, 26.915,
1551 25.177, 23.56, 22.059, 20.654, 19.345, 18.126, 16.988, 15.93,
1552 14.939, 14.014, 13.149, 12.343, 11.589, 10.884, 10.225, 9.6093,
1553 9.0327, 8.4934, 7.9889, 7.5166, 7.0744, 6.6604, 6.2727, 5.9098,
1554 5.5701, 5.2529, 4.955, 4.676, 4.4148, 4.171, 3.9426, 3.7332,
1555 3.5347, 3.3493, 3.1677, 3.0025, 2.8466, 2.6994, 2.5601, 2.4277,
1556 2.3016, 2.1814, 2.0664, 1.9564, 1.8279, 1.7311, 1.6427, 1.5645,
1557 1.4982, 1.443, 1.374, 1.3146, 1.2562, 1.17, 1.1105, 1.0272,
1558 .96863, .89718, .83654, .80226, .75908, .72431, .69573, .67174,
1559 .65126, .63315, .61693, .60182, .58715, .59554, .57649, .55526,
1560 .53177, .50622, .48176, .4813, .47642, .47492, .50273, .50293,
1561 .52687, .52239, .53419, .53814, .52626, .52211, .51492, .50622,
1562 .49746, .48841, .4792, .43534, .41999, .40349, .38586, .36799,
1563 .35108, .31089, .30803, .3171, .33599, .35041, .36149, .32924,
1564 .32462, .27309, .25961, .20922, .19504, .15683, .13098, .11588,
1565 .11478, .11204, .11363, .12135, .16423, .17785, .19094, .20236,
1566 .21084, .2154, .24108, .22848, .20871, .18797, .17963, .17834,
1567 .21552, .22284, .26945, .27052, .30108, .28977, .29772, .29224,
1568 .27658, .24956, .22777, .20654, .18392, .16338, .1452, .12916,
1569 .1152, .10304, .092437, .083163, .075031, .067878, .061564,
1570 .055976, .051018, .046609, .042679, .03917, .036032, .033223,
1571 .030706, .02845, .026428, .024617, .022998, .021554, .02027,
1572 .019136, .018141, .017278, .016541, .015926, .015432, .015058,
1573 .014807, .014666, .014635, .014728, .014947, .01527, .015728,
1574 .016345, .017026, .017798, .018839, .019752, .020636, .021886,
1575 .022695, .02327, .023478, .024292, .023544, .022222, .021932,
1576 .020052, .018143, .017722, .017031, .017782, .01938, .020734,
1577 .020476, .019255, .017477, .016878, .014617, .012489, .011765,
1578 .0099077, .0086446, .0079446, .0078644, .0079763, .008671,
1579 .01001, .0108, .012933, .015349, .016341, .018484, .020254,
1580 .020254, .020478, .019591, .018595, .018385, .019913, .022254,
1581 .024847, .025809, .028053, .029924, .030212, .031367, .03222,
1582 .032739, .032537, .03286, .033344, .033507, .033499, .033339,
1583 .032809, .033041, .031723, .029837, .027511, .026603, .024032,
1584 .021914, .020948, .021701, .023425, .024259, .024987, .023818,
1585 .021768, .019223, .018144, .015282, .012604, .01163, .0097907,
1586 .008336, .0082473, .0079582, .0088077, .009779, .010129, .012145,
1587 .014378, .016761, .01726, .018997, .019998, .019809, .01819,
1588 .016358, .016099, .01617, .017939, .020223, .022521, .02277,
1589 .024279, .025247, .024222, .023989, .023224, .021493, .020362,
1590 .018596, .017309, .015975, .014466, .013171, .011921, .01078,
1591 .0097229, .0087612, .0078729, .0070682, .0063494, .0057156,
1592 .0051459, .0046273, .0041712, .0037686, .0034119, .003095,
1593 .0028126, .0025603, .0023342, .0021314, .0019489, .0017845,
1594 .001636, .0015017, .00138, .0012697, .0011694, .0010782,
1595 9.9507e-4, 9.1931e-4, 8.5013e-4, 7.869e-4, 7.2907e-4, 6.7611e-4,
1596 6.2758e-4, 5.8308e-4, 5.4223e-4, 5.0473e-4, 4.7027e-4, 4.3859e-4,
1597 4.0946e-4, 3.8265e-4, 3.5798e-4, 3.3526e-4, 3.1436e-4, 2.9511e-4,
1598 2.7739e-4, 2.6109e-4, 2.4609e-4, 2.3229e-4, 2.1961e-4, 2.0797e-4,
1599 1.9729e-4, 1.875e-4, 1.7855e-4, 1.7038e-4, 1.6294e-4, 1.5619e-4,
1600 1.5007e-4, 1.4456e-4, 1.3961e-4, 1.3521e-4, 1.3131e-4, 1.2789e-4,
1601 1.2494e-4, 1.2242e-4, 1.2032e-4, 1.1863e-4, 1.1733e-4, 1.1641e-4,
1602 1.1585e-4, 1.1565e-4, 1.158e-4, 1.1629e-4, 1.1712e-4, 1.1827e-4,
1603 1.1976e-4, 1.2158e-4, 1.2373e-4, 1.262e-4, 1.2901e-4, 1.3214e-4,
1604 1.3562e-4, 1.3944e-4, 1.4361e-4, 1.4814e-4, 1.5303e-4, 1.5829e-4,
1605 1.6394e-4, 1.6999e-4, 1.7644e-4, 1.8332e-4, 1.9063e-4, 1.984e-4,
1606 2.0663e-4, 2.1536e-4, 2.246e-4, 2.3436e-4, 2.4468e-4, 2.5558e-4,
1607 2.6708e-4, 2.7921e-4, 2.92e-4, 3.0548e-4, 3.1968e-4, 3.3464e-4,
1608 3.5039e-4, 3.6698e-4, 3.8443e-4, 4.0281e-4, 4.2214e-4, 4.4248e-4,
1609 4.6389e-4, 4.864e-4, 5.1009e-4, 5.3501e-4, 5.6123e-4, 5.888e-4,
1610 6.1781e-4, 6.4833e-4, 6.8043e-4, 7.142e-4, 7.4973e-4, 7.8711e-4,
1611 8.2644e-4, 8.6783e-4, 9.1137e-4, 9.5721e-4, .0010054, .0010562,
1612 .0011096, .0011659, .0012251, .0012875, .0013532, .0014224,
1613 .0014953, .001572, .0016529, .0017381, .0018279, .0019226,
1614 .0020224, .0021277, .0022386, .0023557, .0024792, .0026095,
1615 .002747, .0028921, .0030453, .0032071, .003378, .0035586,
1616 .0037494, .003951, .0041642, .0043897, .0046282, .0048805,
1617 .0051476, .0054304, .00573, .0060473, .0063837, .0067404,
1618 .0071188, .0075203, .0079466, .0083994, .0088806, .0093922,
1619 .0099366, .010516, .011134, .011792, .012494, .013244, .014046,
1620 .014898, .015808, .016781, .017822, .018929, .020108, .02138,
1621 .022729, .02419, .02576, .027412, .029233, .031198, .033301,
1622 .035594, .038092, .040767, .04372, .046918, .050246, .053974,
1623 .058009, .061976, .066586, .071537, .076209, .081856, .087998,
1624 .093821, .10113, .10913, .11731, .12724, .13821, .15025, .1639,
1625 .17807, .19472, .21356, .23496, .25758, .28387, .31389, .34104,
1626 .37469, .40989, .43309, .46845, .5042, .5023, .52981, .55275,
1627 .51075, .51976, .52457, .44779, .44721, .4503, .4243, .45244,
1628 .49491, .55399, .39021, .24802, .2501, .2618, .27475, .28879,
1629 .31317, .33643, .36257, .4018, .43275, .46525, .53333, .56599,
1630 .60557, .70142, .74194, .77736, .88567, .91182, .93294, .98407,
1631 .98772, .99176, .9995, 1.2405, 1.3602, 1.338, 1.3255, 1.3267,
1632 1.3404, 1.3634, 1.3967, 1.4407, 1.4961, 1.5603, 1.6328, 1.7153,
1633 1.8094, 1.9091, 2.018, 2.1367, 2.264, 2.4035, 2.5562, 2.7179,
1634 2.9017, 3.1052, 3.3304, 3.5731, 3.8488, 4.1553, 4.4769, 4.7818,
1635 5.1711, 5.5204, 5.9516, 6.4097, 6.8899, 7.1118, 7.5469, 7.9735,
1636 7.9511, 8.3014, 8.6418, 8.4757, 8.8256, 9.2294, 9.6923, 10.033,
1637 10.842, 11.851, 11.78, 8.8435, 9.1381, 9.5956, 10.076, 10.629,
1638 11.22, 11.883, 12.69, 13.163, 13.974, 14.846, 16.027, 17.053,
1639 18.148, 19.715, 20.907, 22.163, 23.956, 25.235, 26.566, 27.94,
1640 29.576, 30.956, 32.432, 35.337, 39.911, 41.128, 42.625, 44.386,
1641 46.369, 48.619, 51.031, 53.674, 56.825, 59.921, 63.286, 66.929,
1642 70.859, 75.081, 79.618, 84.513, 89.739, 95.335, 101.35, 107.76,
1643 114.63, 121.98, 129.87, 138.3, 147.34, 157.04, 167.56, 178.67,
1644 190.61, 203.43, 217.19, 231.99, 247.88, 264.98, 283.37, 303.17,
1645 324.49, 347.47, 372.25, 398.98, 427.85, 459.06, 492.8, 529.31,
1646 568.89, 611.79, 658.35, 708.91, 763.87, 823.65, 888.72, 959.58,
1647 1036.8, 1121.8, 1213.9, 1314.3, 1423.8, 1543., 1672.8, 1813.4,
1648 1966.1, 2131.4, 2309.5, 2499.3, 2705., 2925.7, 3161.6, 3411.3,
1649 3611.5, 3889.2, 4191.1, 4519.3, 4877.9, 5272.9, 5712.9, 6142.7,
1650 6719.6, 7385., 8145., 8977.7, 9831.9, 10827., 11934., 13063.,
1651 14434., 15878., 17591., 19435., 21510., 23835., 26835., 29740.,
1652 32878., 36305., 39830., 43273., 46931., 50499., 49586., 51598.,
1653 53429., 54619., 55081., 55102., 54485., 53487., 52042., 42689.,
1654 42607., 44020., 47994., 54169., 53916., 55808., 56642., 46049.,
1655 44243., 32929., 30658., 21963., 20835., 15962., 13679., 17652.,
1656 19680., 22388., 25625., 29184., 32520., 35720., 38414., 40523.,
1657 49228., 48173., 45678., 41768., 37600., 41313., 42654., 44465.,
1658 55736., 56630., 65409., 63308., 66572., 61845., 60379., 56777.,
1659 51920., 46601., 41367., 36529., 32219., 28470., 25192., 22362.,
1660 19907., 17772., 15907., 14273., 12835., 11567., 10445., 9450.2,
1661 8565.1, 7776., 7070.8, 6439.2, 5872.3, 5362.4, 4903., 4488.3,
1662 4113.4, 3773.8, 3465.8, 3186.1, 2931.7, 2700.1, 2488.8, 2296.,
1663 2119.8, 1958.6, 1810.9, 1675.6, 1551.4, 1437.3, 1332.4, 1236.,
1664 1147.2, 1065.3, 989.86, 920.22, 855.91, 796.48, 741.53, 690.69,
1665 643.62, 600.02, 559.6, 522.13, 487.35, 455.06, 425.08, 397.21,
1666 371.3, 347.2, 324.78, 303.9, 284.46, 266.34, 249.45, 233.7,
1667 219.01, 205.3, 192.5, 180.55, 169.38, 158.95, 149.2, 140.07,
1668 131.54, 123.56, 116.09, 109.09, 102.54, 96.405, 90.655, 85.266,
1669 80.213, 75.475, 71.031, 66.861, 62.948, 59.275, 55.827, 52.587,
1670 49.544, 46.686, 43.998, 41.473, 39.099, 36.867, 34.768, 32.795,
1671 30.939, 29.192, 27.546, 25.998, 24.539, 23.164, 21.869, 20.65,
1672 19.501, 18.419, 17.399, 16.438, 15.532, 14.678, 13.874, 13.115,
1673 12.4, 11.726, 11.088, 10.488, 9.921, 9.3846, 8.8784, 8.3996,
1674 7.9469, 7.5197, 7.1174, 6.738, 6.379, 6.0409, 5.7213, 5.419,
1675 5.1327, 4.8611, 4.6046, 4.3617, 4.1316, 3.9138, 3.7077, 3.5125,
1676 3.3281, 3.1536, 2.9885, 2.8323, 2.6846, 2.5447, 2.4124, 2.2871,
1677 2.1686, 2.0564, 1.9501, 1.8495, 1.7543, 1.6641, 1.5787, 1.4978,
1678 1.4212, 1.3486, 1.2799, 1.2147, 1.1529, 1.0943, 1.0388, .98602,
1679 .93596, .8886, .84352, .80078, .76029, .722, .68585, .65161,
1680 .61901, .58808, .55854, .53044, .5039, .47853, .45459, .43173,
1681 .41008, .38965, .37021, .35186, .33444, .31797, .30234, .28758,
1682 .2736, .26036, .24764, .2357, .22431, .21342, .20295, .19288,
1683 .18334, .17444, .166, .15815, .15072, .14348, .13674, .13015,
1684 .12399, .11807, .11231, .10689, .10164, .096696, .091955,
1685 .087476, .083183, .079113, .075229, .071536, .068026, .064698,
1686 .06154, .058544, .055699, .052997, .050431, .047993, .045676,
1687 .043475, .041382, .039392, .037501, .035702, .033991, .032364,
1688 .030817, .029345, .027945, .026613, .025345, .024139, .022991,
1689 .021899, .02086, .019871, .018929, .018033, .01718, .016368,
1690 .015595, .014859, .014158, .013491, .012856, .012251, .011675,
1691 .011126, .010604, .010107, .0096331, .009182, .0087523, .0083431,
1692 .0079533, .0075821, .0072284, .0068915, .0065706, .0062649,
1693 .0059737, .0056963, .005432, .0051802, .0049404, .0047118,
1694 .0044941, .0042867, .0040891, .0039009, .0037216, .0035507,
1695 .003388, .0032329, .0030852, .0029445, .0028105, .0026829,
1696 .0025613, .0024455, .0023353, .0022303, .0021304, .0020353,
1697 .0019448, .0018587, .0017767, .0016988, .0016247, .0015543,
1698 .0014874, .0014238, .0013635, .0013062, .0012519, .0012005,
1699 .0011517, .0011057, .0010621, .001021, 9.8233e-4, 9.4589e-4,
1700 9.1167e-4, 8.7961e-4, 8.4964e-4, 8.2173e-4, 7.9582e-4, 7.7189e-4,
1701 7.499e-4, 7.2983e-4, 7.1167e-4, 6.9542e-4, 6.8108e-4, 6.6866e-4,
1702 6.5819e-4, 6.4971e-4, 6.4328e-4, 6.3895e-4, 6.3681e-4, 6.3697e-4,
1703 6.3956e-4, 6.4472e-4, 6.5266e-4, 6.6359e-4, 6.778e-4, 6.9563e-4,
1704 7.1749e-4, 7.4392e-4, 7.7556e-4, 8.1028e-4, 8.4994e-4, 8.8709e-4,
1705 9.3413e-4, 9.6953e-4, .0010202, .0010738, .0010976, .0011507,
1706 .0011686, .0012264, .001291, .0013346, .0014246, .0015293,
1707 .0016359, .0017824, .0019255, .0020854, .002247, .0024148,
1708 .0026199, .0027523, .0029704, .0030702, .0033047, .0035013,
1709 .0037576, .0040275, .0043089, .0046927, .0049307, .0053486,
1710 .0053809, .0056699, .0059325, .0055488, .005634, .0056392,
1711 .004946, .0048855, .0048208, .0044386, .0045498, .0046377,
1712 .0048939, .0052396, .0057324, .0060859, .0066906, .0071148,
1713 .0077224, .0082687, .008769, .0084471, .008572, .0087729,
1714 .008775, .0090742, .0080704, .0080288, .0085747, .0086087,
1715 .0086408, .0088752, .0089381, .0089757, .0093532, .0092824,
1716 .0092566, .0092645, .0092735, .009342, .0095806, .0097991,
1717 .010213, .010611, .011129, .011756, .013237, .01412, .015034,
1718 .015936, .01682, .018597, .019315, .019995, .020658, .021289,
1719 .022363, .022996, .023716, .024512, .025434, .026067, .027118,
1720 .028396, .029865, .031442, .033253, .03525, .037296, .039701,
1721 .042356, .045154, .048059, .051294, .054893, .058636, .061407,
1722 .065172, .068974, .072676, .073379, .076547, .079556, .079134,
1723 .082308, .085739, .090192, .09359, .099599, .10669, .11496,
1724 .1244, .13512, .14752, .14494, .15647, .1668, .17863, .19029,
1725 .20124, .20254, .21179, .21982, .21625, .22364, .23405, .23382,
1726 .2434, .25708, .26406, .27621, .28909, .30395, .31717, .33271,
1727 .3496, .36765, .38774, .40949, .446, .46985, .49846, .5287, .562,
1728 .59841, .64598, .68834, .7327, .78978, .8373, .88708, .94744,
1729 1.0006, 1.0574, 1.1215, 1.1856, 1.2546, 1.3292, 1.4107, 1.4974,
1730 1.5913, 1.6931, 1.8028, 1.9212, 2.0492, 2.1874, 2.3365, 2.4978,
1731 2.6718, 2.8588, 3.062, 3.2818, 3.5188, 3.7752, 4.0527, 4.3542,
1732 4.6782, 5.0312, 5.4123, 5.8246, 6.2639, 6.7435, 7.2636, 7.8064,
1733 8.4091, 9.0696, 9.7677, 10.548, 11.4, 12.309, 13.324, 14.284,
1734 15.445, 16.687, 18.019, 19.403, 20.847, 22.366, 23.925, 25.537,
1735 27.213, 28.069, 29.864, 31.829, 33.988, 35.856, 38.829, 42.321,
1736 46.319, 50.606, 55.126, 59.126, 64.162, 68.708, 74.615, 81.176,
1737 87.739, 95.494, 103.83, 113.38, 123.99, 135.8, 148.7, 162.58,
1738 176.32, 192.6, 211.47, 232.7, 252.64, 277.41, 305.38, 333.44,
1739 366.42, 402.66, 442.14, 484.53, 526.42, 568.15, 558.78, 582.6,
1740 600.98, 613.94, 619.44, 618.24, 609.84, 595.96, 484.86, 475.59,
1741 478.49, 501.56, 552.19, 628.44, 630.39, 658.92, 671.96, 562.7,
1742 545.88, 423.43, 400.14, 306.59, 294.13, 246.8, 226.51, 278.21,
1743 314.39, 347.22, 389.13, 433.16, 477.48, 521.67, 560.54, 683.6,
1744 696.37, 695.91, 683.1, 658.24, 634.89, 698.85, 742.87, 796.66,
1745 954.49, 1009.5, 1150.5, 1179.1, 1267.9, 1272.4, 1312.7, 1330.4,
1746 1331.6, 1315.8, 1308.3, 1293.3, 1274.6, 1249.5, 1213.2, 1172.1,
1747 1124.4, 930.33, 893.36, 871.27, 883.54, 940.76, 1036., 1025.6,
1748 1053.1, 914.51, 894.15, 865.03, 670.63, 508.41, 475.15, 370.85,
1749 361.06, 319.38, 312.75, 331.87, 367.13, 415., 467.94, 525.49,
1750 578.41, 624.66, 794.82, 796.97, 780.29, 736.49, 670.18, 603.75,
1751 659.67, 679.8, 857.12, 884.05, 900.65, 1046.1, 1141.9, 1083.,
1752 1089.2, 1e3, 947.08, 872.31, 787.91, 704.75, 624.93, 553.68,
1753 489.91, 434.21, 385.64, 343.3, 306.42, 274.18, 245.94, 221.11,
1754 199.23, 179.88, 162.73, 147.48, 133.88, 121.73, 110.86, 101.1,
1755 92.323, 84.417, 77.281, 70.831, 64.991, 59.694, 54.884, 50.509,
1756 46.526, 42.893, 39.58, 36.549, 33.776, 31.236, 28.907, 26.77,
1757 24.805, 23., 21.339, 19.81, 18.404, 17.105, 15.909, 14.801,
1758 13.778, 12.83, 11.954, 11.142, 10.389, 9.691, 9.0434, 8.4423,
1759 7.8842, 7.3657, 6.8838, 6.4357, 6.0189, 5.6308, 5.2696, 4.9332,
1760 4.6198, 4.3277, 4.0553, 3.8012, 3.5639, 3.3424, 3.1355, 2.9422,
1761 2.7614, 2.5924, 2.4343, 2.2864, 2.148, 2.0184, 1.8971, 1.7835,
1762 1.677, 1.5773, 1.4838, 1.3961, 1.3139, 1.2369, 1.1645, 1.0966,
1763 1.0329, .97309, .91686, .86406, .81439, .76767, .72381, .68252,
1764 .64359, .60695, .57247, .54008, .50957, .48092, .45401, .42862,
1765 .40465, .38202, .36072, .34052, .3216, .30386, .28711, .27135,
1766 .25651, .24252, .2293, .21689, .20517, .19416, .18381, .17396,
1767 .16469
1768 };
1769
1770 static const double co2230[2001] =
1771 { 2.743e-5, 2.8815e-5, 3.027e-5, 3.1798e-5,
1772 3.3405e-5, 3.5094e-5, 3.6869e-5, 3.8734e-5, 4.0694e-5, 4.2754e-5,
1773 4.492e-5, 4.7196e-5, 4.9588e-5, 5.2103e-5, 5.4747e-5, 5.7525e-5,
1774 6.0446e-5, 6.3516e-5, 6.6744e-5, 7.0137e-5, 7.3704e-5, 7.7455e-5,
1775 8.1397e-5, 8.5543e-5, 8.9901e-5, 9.4484e-5, 9.9302e-5, 1.0437e-4,
1776 1.097e-4, 1.153e-4, 1.2119e-4, 1.2738e-4, 1.3389e-4, 1.4074e-4,
1777 1.4795e-4, 1.5552e-4, 1.6349e-4, 1.7187e-4, 1.8068e-4, 1.8995e-4,
1778 1.997e-4, 2.0996e-4, 2.2075e-4, 2.321e-4, 2.4403e-4, 2.5659e-4,
1779 2.698e-4, 2.837e-4, 2.9832e-4, 3.137e-4, 3.2988e-4, 3.4691e-4,
1780 3.6483e-4, 3.8368e-4, 4.0351e-4, 4.2439e-4, 4.4635e-4, 4.6947e-4,
1781 4.9379e-4, 5.1939e-4, 5.4633e-4, 5.7468e-4, 6.0452e-4, 6.3593e-4,
1782 6.69e-4, 7.038e-4, 7.4043e-4, 7.79e-4, 8.1959e-4, 8.6233e-4,
1783 9.0732e-4, 9.5469e-4, .0010046, .0010571, .0011124, .0011706,
1784 .0012319, .0012964, .0013644, .001436, .0015114, .0015908,
1785 .0016745, .0017625, .0018553, .0019531, .002056, .0021645,
1786 .0022788, .0023992, .002526, .0026596, .0028004, .0029488,
1787 .0031052, .0032699, .0034436, .0036265, .0038194, .0040227,
1788 .0042369, .0044628, .0047008, .0049518, .0052164, .0054953,
1789 .0057894, .0060995, .0064265, .0067713, .007135, .0075184,
1790 .0079228, .0083494, .0087993, .0092738, .0097745, .010303,
1791 .01086, .011448, .012068, .012722, .013413, .014142, .014911,
1792 .015723, .01658, .017484, .018439, .019447, .020511, .021635,
1793 .022821, .024074, .025397, .026794, .02827, .029829, .031475,
1794 .033215, .035052, .036994, .039045, .041213, .043504, .045926,
1795 .048485, .05119, .05405, .057074, .060271, .063651, .067225,
1796 .071006, .075004, .079233, .083708, .088441, .093449, .098749,
1797 .10436, .11029, .11657, .12322, .13026, .13772, .14561, .15397,
1798 .16282, .1722, .18214, .19266, .20381, .21563, .22816, .24143,
1799 .2555, .27043, .28625, .30303, .32082, .3397, .35972, .38097,
1800 .40352, .42746, .45286, .47983, .50847, .53888, .57119, .6055,
1801 .64196, .6807, .72187, .76564, .81217, .86165, .91427, .97025,
1802 1.0298, 1.0932, 1.1606, 1.2324, 1.3088, 1.3902, 1.477, 1.5693,
1803 1.6678, 1.7727, 1.8845, 2.0038, 2.131, 2.2666, 2.4114, 2.5659,
1804 2.7309, 2.907, 3.0951, 3.2961, 3.5109, 3.7405, 3.986, 4.2485,
1805 4.5293, 4.8299, 5.1516, 5.4961, 5.8651, 6.2605, 6.6842, 7.1385,
1806 7.6256, 8.1481, 8.7089, 9.3109, 9.9573, 10.652, 11.398, 12.2,
1807 13.063, 13.992, 14.99, 16.064, 17.222, 18.469, 19.813, 21.263,
1808 22.828, 24.516, 26.34, 28.31, 30.437, 32.738, 35.226, 37.914,
1809 40.824, 43.974, 47.377, 51.061, 55.011, 59.299, 63.961, 69.013,
1810 74.492, 80.444, 86.919, 93.836, 101.23, 109.25, 117.98, 127.47,
1811 137.81, 149.07, 161.35, 174.75, 189.42, 205.49, 223.02, 242.26,
1812 263.45, 286.75, 311.94, 340.01, 370.86, 404.92, 440.44, 480.27,
1813 525.17, 574.71, 626.22, 686.8, 754.38, 827.07, 913.38, 1011.7,
1814 1121.5, 1161.6, 1289.5, 1432.2, 1595.4, 1777., 1983.3, 2216.1,
1815 2485.7, 2788.3, 3101.5, 3481., 3902.1, 4257.1, 4740., 5272.8,
1816 5457.9, 5946.2, 6505.3, 6668.4, 7302.4, 8061.6, 9015.8, 9908.3,
1817 11613., 13956., 3249.6, 3243., 2901.5, 2841.3, 2729.6, 2558.2,
1818 1797.8, 1583.2, 1386., 1233.5, 787.74, 701.46, 761.66, 767.21,
1819 722.83, 1180.6, 1332.1, 1461.6, 2032.9, 2166., 2255.9, 2294.7,
1820 2587.2, 2396.5, 2122.4, 12553., 10784., 9832.5, 8827.3, 8029.1,
1821 7377.9, 7347.1, 6783.8, 6239.1, 5721.1, 5503., 4975.1, 4477.8,
1822 4021.3, 3676.8, 3275.3, 2914.9, 2597.4, 2328.2, 2075.4, 1857.6,
1823 1663.6, 1493.3, 1343.8, 1213.3, 1095.6, 1066.5, 958.91, 865.15,
1824 783.31, 714.35, 650.77, 593.98, 546.2, 499.9, 457.87, 421.75,
1825 387.61, 355.25, 326.62, 299.7, 275.21, 253.17, 232.83, 214.31,
1826 197.5, 182.08, 167.98, 155.12, 143.32, 132.5, 122.58, 113.48,
1827 105.11, 97.415, 90.182, 83.463, 77.281, 71.587, 66.341, 61.493,
1828 57.014, 53.062, 49.21, 45.663, 42.38, 39.348, 36.547, 33.967,
1829 31.573, 29.357, 27.314, 25.415, 23.658, 22.03, 20.524, 19.125,
1830 17.829, 16.627, 15.511, 14.476, 13.514, 12.618, 11.786, 11.013,
1831 10.294, 9.6246, 9.0018, 8.4218, 7.8816, 7.3783, 6.9092, 6.4719,
1832 6.0641, 5.6838, 5.3289, 4.998, 4.6893, 4.4014, 4.1325, 3.8813,
1833 3.6469, 3.4283, 3.2241, 3.035, 2.8576, 2.6922, 2.5348, 2.3896,
1834 2.2535, 2.1258, 2.0059, 1.8929, 1.7862, 1.6854, 1.5898, 1.4992,
1835 1.4017, 1.3218, 1.2479, 1.1809, 1.1215, 1.0693, 1.0116, .96016,
1836 .9105, .84859, .80105, .74381, .69982, .65127, .60899, .57843,
1837 .54592, .51792, .49336, .47155, .45201, .43426, .41807, .40303,
1838 .38876, .3863, .37098, .35492, .33801, .32032, .30341, .29874,
1839 .29193, .28689, .29584, .29155, .29826, .29195, .29287, .2904,
1840 .28199, .27709, .27162, .26622, .26133, .25676, .25235, .23137,
1841 .22365, .21519, .20597, .19636, .18699, .16485, .16262, .16643,
1842 .17542, .18198, .18631, .16759, .16338, .13505, .1267, .10053,
1843 .092554, .074093, .062159, .055523, .054849, .05401, .05528,
1844 .058982, .07952, .08647, .093244, .099285, .10393, .10661,
1845 .12072, .11417, .10396, .093265, .089137, .088909, .10902,
1846 .11277, .13625, .13565, .14907, .14167, .1428, .13744, .12768,
1847 .11382, .10244, .091686, .08109, .071739, .063616, .056579,
1848 .050504, .045251, .040689, .036715, .033237, .030181, .027488,
1849 .025107, .022998, .021125, .01946, .017979, .016661, .015489,
1850 .014448, .013526, .012712, .011998, .011375, .010839, .010384,
1851 .010007, .0097053, .0094783, .0093257, .0092489, .0092504,
1852 .0093346, .0095077, .0097676, .01012, .01058, .011157, .011844,
1853 .012672, .013665, .014766, .015999, .017509, .018972, .020444,
1854 .022311, .023742, .0249, .025599, .026981, .026462, .025143,
1855 .025066, .022814, .020458, .020026, .019142, .020189, .022371,
1856 .024163, .023728, .02199, .019506, .018591, .015576, .012784,
1857 .011744, .0094777, .0079148, .0070652, .006986, .0071758,
1858 .008086, .0098025, .01087, .013609, .016764, .018137, .021061,
1859 .023498, .023576, .023965, .022828, .021519, .021283, .023364,
1860 .026457, .029782, .030856, .033486, .035515, .035543, .036558,
1861 .037198, .037472, .037045, .037284, .03777, .038085, .038366,
1862 .038526, .038282, .038915, .037697, .035667, .032941, .031959,
1863 .028692, .025918, .024596, .025592, .027873, .028935, .02984,
1864 .028148, .025305, .021912, .020454, .016732, .013357, .01205,
1865 .009731, .0079881, .0077704, .0074387, .0083895, .0096776,
1866 .010326, .01293, .015955, .019247, .020145, .02267, .024231,
1867 .024184, .022131, .019784, .01955, .01971, .022119, .025116,
1868 .027978, .028107, .029808, .030701, .029164, .028551, .027286,
1869 .024946, .023259, .020982, .019221, .017471, .015643, .014074,
1870 .01261, .011301, .010116, .0090582, .0081036, .0072542, .0065034,
1871 .0058436, .0052571, .0047321, .0042697, .0038607, .0034977,
1872 .0031747, .0028864, .0026284, .002397, .002189, .0020017,
1873 .0018326, .0016798, .0015414, .0014159, .0013019, .0011983,
1874 .0011039, .0010177, 9.391e-4, 8.6717e-4, 8.0131e-4, 7.4093e-4,
1875 6.8553e-4, 6.3464e-4, 5.8787e-4, 5.4487e-4, 5.0533e-4, 4.69e-4,
1876 4.3556e-4, 4.0474e-4, 3.7629e-4, 3.5e-4, 3.2569e-4, 3.032e-4,
1877 2.8239e-4, 2.6314e-4, 2.4535e-4, 2.2891e-4, 2.1374e-4, 1.9975e-4,
1878 1.8685e-4, 1.7498e-4, 1.6406e-4, 1.5401e-4, 1.4479e-4, 1.3633e-4,
1879 1.2858e-4, 1.2148e-4, 1.1499e-4, 1.0907e-4, 1.0369e-4, 9.8791e-5,
1880 9.4359e-5, 9.0359e-5, 8.6766e-5, 8.3555e-5, 8.0703e-5, 7.8192e-5,
1881 7.6003e-5, 7.4119e-5, 7.2528e-5, 7.1216e-5, 7.0171e-5, 6.9385e-5,
1882 6.8848e-5, 6.8554e-5, 6.8496e-5, 6.8669e-5, 6.9069e-5, 6.9694e-5,
1883 7.054e-5, 7.1608e-5, 7.2896e-5, 7.4406e-5, 7.6139e-5, 7.8097e-5,
1884 8.0283e-5, 8.2702e-5, 8.5357e-5, 8.8255e-5, 9.1402e-5, 9.4806e-5,
1885 9.8473e-5, 1.0241e-4, 1.0664e-4, 1.1115e-4, 1.1598e-4, 1.2112e-4,
1886 1.2659e-4, 1.3241e-4, 1.3859e-4, 1.4515e-4, 1.521e-4, 1.5947e-4,
1887 1.6728e-4, 1.7555e-4, 1.8429e-4, 1.9355e-4, 2.0334e-4, 2.1369e-4,
1888 2.2463e-4, 2.3619e-4, 2.4841e-4, 2.6132e-4, 2.7497e-4, 2.8938e-4,
1889 3.0462e-4, 3.2071e-4, 3.3771e-4, 3.5567e-4, 3.7465e-4, 3.947e-4,
1890 4.1588e-4, 4.3828e-4, 4.6194e-4, 4.8695e-4, 5.1338e-4, 5.4133e-4,
1891 5.7087e-4, 6.0211e-4, 6.3515e-4, 6.701e-4, 7.0706e-4, 7.4617e-4,
1892 7.8756e-4, 8.3136e-4, 8.7772e-4, 9.2681e-4, 9.788e-4, .0010339,
1893 .0010922, .001154, .0012195, .0012889, .0013626, .0014407,
1894 .0015235, .0016114, .0017048, .0018038, .001909, .0020207,
1895 .0021395, .0022657, .0023998, .0025426, .0026944, .002856,
1896 .0030281, .0032114, .0034068, .003615, .0038371, .004074,
1897 .004327, .0045971, .0048857, .0051942, .0055239, .0058766,
1898 .0062538, .0066573, .0070891, .007551, .0080455, .0085747,
1899 .0091412, .0097481, .010397, .011092, .011837, .012638, .013495,
1900 .014415, .01541, .016475, .017621, .018857, .020175, .02162,
1901 .023185, .024876, .02672, .028732, .030916, .033319, .035939,
1902 .038736, .041847, .04524, .048715, .052678, .056977, .061203,
1903 .066184, .07164, .076952, .083477, .090674, .098049, .10697,
1904 .1169, .1277, .14011, .15323, .1684, .18601, .20626, .22831,
1905 .25417, .28407, .31405, .34957, .38823, .41923, .46026, .50409,
1906 .51227, .54805, .57976, .53818, .55056, .557, .46741, .46403,
1907 .4636, .42265, .45166, .49852, .56663, .34306, .17779, .17697,
1908 .18346, .19129, .20014, .21778, .23604, .25649, .28676, .31238,
1909 .33856, .39998, .4288, .46568, .56654, .60786, .64473, .76466,
1910 .7897, .80778, .86443, .85736, .84798, .84157, 1.1385, 1.2446,
1911 1.1923, 1.1552, 1.1338, 1.1266, 1.1292, 1.1431, 1.1683, 1.2059,
1912 1.2521, 1.3069, 1.3712, 1.4471, 1.5275, 1.6165, 1.7145, 1.8189,
1913 1.9359, 2.065, 2.2007, 2.3591, 2.5362, 2.7346, 2.9515, 3.2021,
1914 3.4851, 3.7935, 4.0694, 4.4463, 4.807, 5.2443, 5.7178, 6.2231,
1915 6.4796, 6.9461, 7.4099, 7.3652, 7.7182, 8.048, 7.7373, 8.0363,
1916 8.3855, 8.8044, 9.0257, 9.8574, 10.948, 10.563, 6.8979, 7.0744,
1917 7.4121, 7.7663, 8.1768, 8.6243, 9.1437, 9.7847, 10.182, 10.849,
1918 11.572, 12.602, 13.482, 14.431, 15.907, 16.983, 18.11, 19.884,
1919 21.02, 22.18, 23.355, 24.848, 25.954, 27.13, 30.186, 34.893,
1920 35.682, 36.755, 38.111, 39.703, 41.58, 43.606, 45.868, 48.573,
1921 51.298, 54.291, 57.559, 61.116, 64.964, 69.124, 73.628, 78.471,
1922 83.683, 89.307, 95.341, 101.84, 108.83, 116.36, 124.46, 133.18,
1923 142.57, 152.79, 163.69, 175.43, 188.11, 201.79, 216.55, 232.51,
1924 249.74, 268.38, 288.54, 310.35, 333.97, 359.55, 387.26, 417.3,
1925 449.88, 485.2, 523.54, 565.14, 610.28, 659.31, 712.56, 770.43,
1926 833.36, 901.82, 976.36, 1057.6, 1146.8, 1243.8, 1350., 1466.3,
1927 1593.6, 1732.7, 1884.1, 2049.1, 2228.2, 2421.9, 2629.4, 2853.7,
1928 3094.4, 3351.1, 3622.3, 3829.8, 4123.1, 4438.3, 4777.2, 5144.1,
1929 5545.4, 5990.5, 6404.5, 6996.8, 7687.6, 8482.9, 9349.4, 10203.,
1930 11223., 12358., 13493., 14916., 16416., 18236., 20222., 22501.,
1931 25102., 28358., 31707., 35404., 39538., 43911., 48391., 53193.,
1932 58028., 58082., 61276., 64193., 66294., 67480., 67921., 67423.,
1933 66254., 64341., 51737., 51420., 53072., 58145., 66195., 65358.,
1934 67377., 67869., 53509., 50553., 35737., 32425., 21704., 19974.,
1935 14457., 12142., 16798., 19489., 23049., 27270., 31910., 36457.,
1936 40877., 44748., 47876., 59793., 58626., 55454., 50337., 44893.,
1937 50228., 52216., 54747., 69541., 70455., 81014., 77694., 80533.,
1938 73953., 70927., 65539., 59002., 52281., 45953., 40292., 35360.,
1939 31124., 27478., 24346., 21647., 19308., 17271., 15491., 13927.,
1940 12550., 11331., 10250., 9288.8, 8431.4, 7664.9, 6978.3, 6361.8,
1941 5807.4, 5307.7, 4856.8, 4449., 4079.8, 3744.9, 3440.8, 3164.2,
1942 2912.3, 2682.7, 2473., 2281.4, 2106., 1945.3, 1797.9, 1662.5,
1943 1538.1, 1423.6, 1318.1, 1221., 1131.5, 1049., 972.99, 902.87,
1944 838.01, 777.95, 722.2, 670.44, 622.35, 577.68, 536.21, 497.76,
1945 462.12, 429.13, 398.61, 370.39, 344.29, 320.16, 297.85, 277.2,
1946 258.08, 240.38, 223.97, 208.77, 194.66, 181.58, 169.43, 158.15,
1947 147.67, 137.92, 128.86, 120.44, 112.6, 105.3, 98.499, 92.166,
1948 86.264, 80.763, 75.632, 70.846, 66.381, 62.213, 58.321, 54.685,
1949 51.288, 48.114, 45.145, 42.368, 39.772, 37.341, 35.065, 32.937,
1950 30.943, 29.077, 27.33, 25.693, 24.158, 22.717, 21.367, 20.099,
1951 18.909, 17.792, 16.744, 15.761, 14.838, 13.971, 13.157, 12.393,
1952 11.676, 11.003, 10.369, 9.775, 9.2165, 8.6902, 8.1963, 7.7314,
1953 7.2923, 6.8794, 6.4898, 6.122, 5.7764, 5.4525, 5.1484, 4.8611,
1954 4.5918, 4.3379, 4.0982, 3.8716, 3.6567, 3.4545, 3.2634, 3.0828,
1955 2.9122, 2.7512, 2.5993, 2.4561, 2.3211, 2.1938, 2.0737, 1.9603,
1956 1.8534, 1.7525, 1.6572, 1.5673, 1.4824, 1.4022, 1.3265, 1.2551,
1957 1.1876, 1.1239, 1.0637, 1.0069, .9532, .90248, .85454, .80921,
1958 .76631, .72569, .6872, .65072, .61635, .5836, .55261, .52336,
1959 .49581, .46998, .44559, .42236, .40036, .37929, .35924, .34043,
1960 .32238, .30547, .28931, .27405, .25975, .24616, .23341, .22133,
1961 .20997, .19924, .18917, .17967, .17075, .16211, .15411, .14646,
1962 .13912, .13201, .12509, .11857, .11261, .10698, .10186, .097039,
1963 .092236, .087844, .083443, .07938, .075452, .071564, .067931,
1964 .064389, .061078, .057901, .054921, .052061, .049364, .046789,
1965 .04435, .042044, .039866, .037808, .035863, .034023, .032282,
1966 .030634, .029073, .027595, .026194, .024866, .023608, .022415,
1967 .021283, .02021, .019193, .018228, .017312, .016443, .015619,
1968 .014837, .014094, .01339, .012721, .012086, .011483, .010911,
1969 .010368, .009852, .0093623, .0088972, .0084556, .0080362,
1970 .0076379, .0072596, .0069003, .006559, .0062349, .0059269,
1971 .0056344, .0053565, .0050925, .0048417, .0046034, .004377,
1972 .0041618, .0039575, .0037633, .0035788, .0034034, .0032368,
1973 .0030785, .002928, .0027851, .0026492, .0025201, .0023975,
1974 .0022809, .0021701, .0020649, .0019649, .0018699, .0017796,
1975 .0016938, .0016122, .0015348, .0014612, .0013913, .001325,
1976 .0012619, .0012021, .0011452, .0010913, .0010401, 9.9149e-4,
1977 9.454e-4, 9.0169e-4, 8.6024e-4, 8.2097e-4, 7.8377e-4, 7.4854e-4,
1978 7.1522e-4, 6.8371e-4, 6.5393e-4, 6.2582e-4, 5.9932e-4, 5.7435e-4,
1979 5.5087e-4, 5.2882e-4, 5.0814e-4, 4.8881e-4, 4.7076e-4, 4.5398e-4,
1980 4.3843e-4, 4.2407e-4, 4.109e-4, 3.9888e-4, 3.88e-4, 3.7826e-4,
1981 3.6963e-4, 3.6213e-4, 3.5575e-4, 3.505e-4, 3.464e-4, 3.4346e-4,
1982 3.4173e-4, 3.4125e-4, 3.4206e-4, 3.4424e-4, 3.4787e-4, 3.5303e-4,
1983 3.5986e-4, 3.6847e-4, 3.7903e-4, 3.9174e-4, 4.0681e-4, 4.2455e-4,
1984 4.4527e-4, 4.6942e-4, 4.9637e-4, 5.2698e-4, 5.5808e-4, 5.9514e-4,
1985 6.2757e-4, 6.689e-4, 7.1298e-4, 7.3955e-4, 7.8403e-4, 8.0449e-4,
1986 8.5131e-4, 9.0256e-4, 9.3692e-4, .0010051, .0010846, .0011678,
1987 .001282, .0014016, .0015355, .0016764, .0018272, .0020055,
1988 .0021455, .0023421, .0024615, .0026786, .0028787, .0031259,
1989 .0034046, .0036985, .0040917, .0043902, .0048349, .0049531,
1990 .0052989, .0056148, .0052452, .0053357, .005333, .0045069,
1991 .0043851, .004253, .003738, .0038084, .0039013, .0041505,
1992 .0045372, .0050569, .0054507, .0061267, .0066122, .0072449,
1993 .0078012, .0082651, .0076538, .0076573, .0076806, .0075227,
1994 .0076269, .0063758, .006254, .0067749, .0067909, .0068231,
1995 .0072143, .0072762, .0072954, .007679, .0075107, .0073658,
1996 .0072441, .0071074, .0070378, .007176, .0072472, .0075844,
1997 .0079291, .008412, .0090165, .010688, .011535, .012375, .013166,
1998 .013895, .015567, .016011, .016392, .016737, .017043, .017731,
1999 .018031, .018419, .018877, .019474, .019868, .020604, .021538,
2000 .022653, .023869, .025288, .026879, .028547, .030524, .03274,
2001 .035132, .03769, .040567, .043793, .047188, .049962, .053542,
2002 .057205, .060776, .061489, .064419, .067124, .065945, .068487,
2003 .071209, .074783, .077039, .082444, .08902, .09692, .10617,
2004 .11687, .12952, .12362, .13498, .14412, .15492, .16519, .1744,
2005 .17096, .17714, .18208, .17363, .17813, .18564, .18295, .19045,
2006 .20252, .20815, .21844, .22929, .24229, .25321, .26588, .2797,
2007 .29465, .31136, .32961, .36529, .38486, .41027, .43694, .4667,
2008 .49943, .54542, .58348, .62303, .67633, .71755, .76054, .81371,
2009 .85934, .90841, .96438, 1.0207, 1.0821, 1.1491, 1.2226, 1.3018,
2010 1.388, 1.4818, 1.5835, 1.6939, 1.8137, 1.9435, 2.0843, 2.237,
2011 2.4026, 2.5818, 2.7767, 2.9885, 3.2182, 3.4679, 3.7391, 4.0349,
2012 4.3554, 4.7053, 5.0849, 5.4986, 5.9436, 6.4294, 6.9598, 7.5203,
2013 8.143, 8.8253, 9.5568, 10.371, 11.267, 12.233, 13.31, 14.357,
2014 15.598, 16.93, 18.358, 19.849, 21.408, 23.04, 24.706, 26.409,
2015 28.153, 28.795, 30.549, 32.43, 34.49, 36.027, 38.955, 42.465,
2016 46.565, 50.875, 55.378, 59.002, 63.882, 67.949, 73.693, 80.095,
2017 86.403, 94.264, 102.65, 112.37, 123.3, 135.54, 149.14, 163.83,
2018 179.17, 196.89, 217.91, 240.94, 264.13, 292.39, 324.83, 358.21,
2019 397.16, 440.5, 488.6, 541.04, 595.3, 650.43, 652.03, 688.74,
2020 719.47, 743.54, 757.68, 762.35, 756.43, 741.42, 595.43, 580.97,
2021 580.83, 605.68, 667.88, 764.49, 759.93, 789.12, 798.17, 645.66,
2022 615.65, 455.05, 421.09, 306.45, 289.14, 235.7, 215.52, 274.57,
2023 316.53, 357.73, 409.89, 465.06, 521.84, 579.02, 630.64, 794.46,
2024 813., 813.56, 796.25, 761.57, 727.97, 812.14, 866.75, 932.5,
2025 1132.8, 1194.8, 1362.2, 1387.2, 1482.3, 1479.7, 1517.9, 1533.1,
2026 1534.2, 1523.3, 1522.5, 1515.5, 1505.2, 1486.5, 1454., 1412.,
2027 1358.8, 1107.8, 1060.9, 1033.5, 1048.2, 1122.4, 1248.9, 1227.1,
2028 1255.4, 1058.9, 1020.7, 970.59, 715.24, 512.56, 468.47, 349.3,
2029 338.26, 299.22, 301.26, 332.38, 382.08, 445.49, 515.87, 590.85,
2030 662.3, 726.05, 955.59, 964.11, 945.17, 891.48, 807.11, 720.9,
2031 803.36, 834.46, 1073.9, 1107.1, 1123.6, 1296., 1393.7, 1303.1,
2032 1284.3, 1161.8, 1078.8, 976.13, 868.72, 767.4, 674.72, 593.73,
2033 523.12, 462.24, 409.75, 364.34, 325., 290.73, 260.76, 234.46,
2034 211.28, 190.78, 172.61, 156.44, 142.01, 129.12, 117.57, 107.2,
2035 97.877, 89.47, 81.882, 75.021, 68.807, 63.171, 58.052, 53.396,
2036 49.155, 45.288, 41.759, 38.531, 35.576, 32.868, 30.384, 28.102,
2037 26.003, 24.071, 22.293, 20.655, 19.147, 17.756, 16.476, 15.292,
2038 14.198, 13.183, 12.241, 11.367, 10.554, 9.7989, 9.0978, 8.4475,
2039 7.845, 7.2868, 6.7704, 6.2927, 5.8508, 5.4421, 5.064, 4.714,
2040 4.3902, 4.0902, 3.8121, 3.5543, 3.315, 3.093, 2.8869, 2.6953,
2041 2.5172, 2.3517, 2.1977, 2.0544, 1.9211, 1.7969, 1.6812, 1.5735,
2042 1.4731, 1.3794, 1.2921, 1.2107, 1.1346, 1.0637, .99744, .93554,
2043 .87771, .82368, .77313, .72587, .6816, .64014, .60134, .565,
2044 .53086, .49883, .46881, .44074, .4144, .38979, .36679, .34513,
2045 .32474, .30552, .28751, .27045, .25458, .23976, .22584, .21278,
2046 .20051, .18899, .17815, .16801, .15846, .14954, .14117, .13328,
2047 .12584
2048 };
2049
2050 /* Get CO2 continuum absorption... */
2051 const double xw = nu / 2 + 1;
2052 if (xw >= 1 && xw < 2001) {
2053 const int iw = (int) xw;
2054 const double dw = xw - iw;
2055 const double ew = 1 - dw;
2056 const double cw296 = ew * co2296[iw - 1] + dw * co2296[iw];
2057 const double cw260 = ew * co2260[iw - 1] + dw * co2260[iw];
2058 const double cw230 = ew * co2230[iw - 1] + dw * co2230[iw];
2059 const double dt230 = t - 230;
2060 const double dt260 = t - 260;
2061 const double dt296 = t - 296;
2062 const double ctw =
2063 dt260 * 5.050505e-4 * dt296 * cw230 -
2064 dt230 * 9.259259e-4 * dt296 * cw260 +
2065 dt230 * 4.208754e-4 * dt260 * cw296;
2066 return u / NA / 1000 * p / P0 * ctw;
2067 } else
2068 return 0;
2069}
#define P0
Standard pressure [hPa].
Definition: jurassic.h:184
#define NA
Avogadro's number.
Definition: jurassic.h:169

◆ ctmh2o()

double ctmh2o ( const double  nu,
const double  p,
const double  t,
const double  q,
const double  u 
)

Compute water vapor continuum (optical depth).

Author
Lars Hoffmann

Definition at line 2073 of file jurassic.c.

2078 {
2079
2080 static const double h2o296[2001] =
2081 { .17, .1695, .172, .168, .1687, .1624, .1606,
2082 .1508, .1447, .1344, .1214, .1133, .1009, .09217, .08297, .06989,
2083 .06513, .05469, .05056, .04417, .03779, .03484, .02994, .0272,
2084 .02325, .02063, .01818, .01592, .01405, .01251, .0108, .009647,
2085 .008424, .007519, .006555, .00588, .005136, .004511, .003989,
2086 .003509, .003114, .00274, .002446, .002144, .001895, .001676,
2087 .001486, .001312, .001164, .001031, 9.129e-4, 8.106e-4, 7.213e-4,
2088 6.4e-4, 5.687e-4, 5.063e-4, 4.511e-4, 4.029e-4, 3.596e-4,
2089 3.22e-4, 2.889e-4, 2.597e-4, 2.337e-4, 2.108e-4, 1.907e-4,
2090 1.728e-4, 1.57e-4, 1.43e-4, 1.305e-4, 1.195e-4, 1.097e-4,
2091 1.009e-4, 9.307e-5, 8.604e-5, 7.971e-5, 7.407e-5, 6.896e-5,
2092 6.433e-5, 6.013e-5, 5.631e-5, 5.283e-5, 4.963e-5, 4.669e-5,
2093 4.398e-5, 4.148e-5, 3.917e-5, 3.702e-5, 3.502e-5, 3.316e-5,
2094 3.142e-5, 2.978e-5, 2.825e-5, 2.681e-5, 2.546e-5, 2.419e-5,
2095 2.299e-5, 2.186e-5, 2.079e-5, 1.979e-5, 1.884e-5, 1.795e-5,
2096 1.711e-5, 1.633e-5, 1.559e-5, 1.49e-5, 1.426e-5, 1.367e-5,
2097 1.312e-5, 1.263e-5, 1.218e-5, 1.178e-5, 1.143e-5, 1.112e-5,
2098 1.088e-5, 1.07e-5, 1.057e-5, 1.05e-5, 1.051e-5, 1.059e-5,
2099 1.076e-5, 1.1e-5, 1.133e-5, 1.18e-5, 1.237e-5, 1.308e-5,
2100 1.393e-5, 1.483e-5, 1.614e-5, 1.758e-5, 1.93e-5, 2.123e-5,
2101 2.346e-5, 2.647e-5, 2.93e-5, 3.279e-5, 3.745e-5, 4.152e-5,
2102 4.813e-5, 5.477e-5, 6.203e-5, 7.331e-5, 8.056e-5, 9.882e-5,
2103 1.05e-4, 1.21e-4, 1.341e-4, 1.572e-4, 1.698e-4, 1.968e-4,
2104 2.175e-4, 2.431e-4, 2.735e-4, 2.867e-4, 3.19e-4, 3.371e-4,
2105 3.554e-4, 3.726e-4, 3.837e-4, 3.878e-4, 3.864e-4, 3.858e-4,
2106 3.841e-4, 3.852e-4, 3.815e-4, 3.762e-4, 3.618e-4, 3.579e-4,
2107 3.45e-4, 3.202e-4, 3.018e-4, 2.785e-4, 2.602e-4, 2.416e-4,
2108 2.097e-4, 1.939e-4, 1.689e-4, 1.498e-4, 1.308e-4, 1.17e-4,
2109 1.011e-4, 9.237e-5, 7.909e-5, 7.006e-5, 6.112e-5, 5.401e-5,
2110 4.914e-5, 4.266e-5, 3.963e-5, 3.316e-5, 3.037e-5, 2.598e-5,
2111 2.294e-5, 2.066e-5, 1.813e-5, 1.583e-5, 1.423e-5, 1.247e-5,
2112 1.116e-5, 9.76e-6, 8.596e-6, 7.72e-6, 6.825e-6, 6.108e-6,
2113 5.366e-6, 4.733e-6, 4.229e-6, 3.731e-6, 3.346e-6, 2.972e-6,
2114 2.628e-6, 2.356e-6, 2.102e-6, 1.878e-6, 1.678e-6, 1.507e-6,
2115 1.348e-6, 1.21e-6, 1.089e-6, 9.806e-7, 8.857e-7, 8.004e-7,
2116 7.261e-7, 6.599e-7, 6.005e-7, 5.479e-7, 5.011e-7, 4.595e-7,
2117 4.219e-7, 3.885e-7, 3.583e-7, 3.314e-7, 3.071e-7, 2.852e-7,
2118 2.654e-7, 2.474e-7, 2.311e-7, 2.162e-7, 2.026e-7, 1.902e-7,
2119 1.788e-7, 1.683e-7, 1.587e-7, 1.497e-7, 1.415e-7, 1.338e-7,
2120 1.266e-7, 1.2e-7, 1.138e-7, 1.08e-7, 1.027e-7, 9.764e-8,
2121 9.296e-8, 8.862e-8, 8.458e-8, 8.087e-8, 7.744e-8, 7.429e-8,
2122 7.145e-8, 6.893e-8, 6.664e-8, 6.468e-8, 6.322e-8, 6.162e-8,
2123 6.07e-8, 5.992e-8, 5.913e-8, 5.841e-8, 5.796e-8, 5.757e-8,
2124 5.746e-8, 5.731e-8, 5.679e-8, 5.577e-8, 5.671e-8, 5.656e-8,
2125 5.594e-8, 5.593e-8, 5.602e-8, 5.62e-8, 5.693e-8, 5.725e-8,
2126 5.858e-8, 6.037e-8, 6.249e-8, 6.535e-8, 6.899e-8, 7.356e-8,
2127 7.918e-8, 8.618e-8, 9.385e-8, 1.039e-7, 1.158e-7, 1.29e-7,
2128 1.437e-7, 1.65e-7, 1.871e-7, 2.121e-7, 2.427e-7, 2.773e-7,
2129 3.247e-7, 3.677e-7, 4.037e-7, 4.776e-7, 5.101e-7, 6.214e-7,
2130 6.936e-7, 7.581e-7, 8.486e-7, 9.355e-7, 9.942e-7, 1.063e-6,
2131 1.123e-6, 1.191e-6, 1.215e-6, 1.247e-6, 1.26e-6, 1.271e-6,
2132 1.284e-6, 1.317e-6, 1.323e-6, 1.349e-6, 1.353e-6, 1.362e-6,
2133 1.344e-6, 1.329e-6, 1.336e-6, 1.327e-6, 1.325e-6, 1.359e-6,
2134 1.374e-6, 1.415e-6, 1.462e-6, 1.526e-6, 1.619e-6, 1.735e-6,
2135 1.863e-6, 2.034e-6, 2.265e-6, 2.482e-6, 2.756e-6, 3.103e-6,
2136 3.466e-6, 3.832e-6, 4.378e-6, 4.913e-6, 5.651e-6, 6.311e-6,
2137 7.169e-6, 8.057e-6, 9.253e-6, 1.047e-5, 1.212e-5, 1.36e-5,
2138 1.569e-5, 1.776e-5, 2.02e-5, 2.281e-5, 2.683e-5, 2.994e-5,
2139 3.488e-5, 3.896e-5, 4.499e-5, 5.175e-5, 6.035e-5, 6.34e-5,
2140 7.281e-5, 7.923e-5, 8.348e-5, 9.631e-5, 1.044e-4, 1.102e-4,
2141 1.176e-4, 1.244e-4, 1.283e-4, 1.326e-4, 1.4e-4, 1.395e-4,
2142 1.387e-4, 1.363e-4, 1.314e-4, 1.241e-4, 1.228e-4, 1.148e-4,
2143 1.086e-4, 1.018e-4, 8.89e-5, 8.316e-5, 7.292e-5, 6.452e-5,
2144 5.625e-5, 5.045e-5, 4.38e-5, 3.762e-5, 3.29e-5, 2.836e-5,
2145 2.485e-5, 2.168e-5, 1.895e-5, 1.659e-5, 1.453e-5, 1.282e-5,
2146 1.132e-5, 1.001e-5, 8.836e-6, 7.804e-6, 6.922e-6, 6.116e-6,
2147 5.429e-6, 4.824e-6, 4.278e-6, 3.788e-6, 3.371e-6, 2.985e-6,
2148 2.649e-6, 2.357e-6, 2.09e-6, 1.858e-6, 1.647e-6, 1.462e-6,
2149 1.299e-6, 1.155e-6, 1.028e-6, 9.142e-7, 8.132e-7, 7.246e-7,
2150 6.451e-7, 5.764e-7, 5.151e-7, 4.603e-7, 4.121e-7, 3.694e-7,
2151 3.318e-7, 2.985e-7, 2.69e-7, 2.428e-7, 2.197e-7, 1.992e-7,
2152 1.81e-7, 1.649e-7, 1.506e-7, 1.378e-7, 1.265e-7, 1.163e-7,
2153 1.073e-7, 9.918e-8, 9.191e-8, 8.538e-8, 7.949e-8, 7.419e-8,
2154 6.94e-8, 6.508e-8, 6.114e-8, 5.761e-8, 5.437e-8, 5.146e-8,
2155 4.89e-8, 4.636e-8, 4.406e-8, 4.201e-8, 4.015e-8, 3.84e-8,
2156 3.661e-8, 3.51e-8, 3.377e-8, 3.242e-8, 3.13e-8, 3.015e-8,
2157 2.918e-8, 2.83e-8, 2.758e-8, 2.707e-8, 2.656e-8, 2.619e-8,
2158 2.609e-8, 2.615e-8, 2.63e-8, 2.675e-8, 2.745e-8, 2.842e-8,
2159 2.966e-8, 3.125e-8, 3.318e-8, 3.565e-8, 3.85e-8, 4.191e-8,
2160 4.59e-8, 5.059e-8, 5.607e-8, 6.239e-8, 6.958e-8, 7.796e-8,
2161 8.773e-8, 9.88e-8, 1.114e-7, 1.258e-7, 1.422e-7, 1.61e-7,
2162 1.822e-7, 2.06e-7, 2.337e-7, 2.645e-7, 2.996e-7, 3.393e-7,
2163 3.843e-7, 4.363e-7, 4.935e-7, 5.607e-7, 6.363e-7, 7.242e-7,
2164 8.23e-7, 9.411e-7, 1.071e-6, 1.232e-6, 1.402e-6, 1.6e-6, 1.82e-6,
2165 2.128e-6, 2.386e-6, 2.781e-6, 3.242e-6, 3.653e-6, 4.323e-6,
2166 4.747e-6, 5.321e-6, 5.919e-6, 6.681e-6, 7.101e-6, 7.983e-6,
2167 8.342e-6, 8.741e-6, 9.431e-6, 9.952e-6, 1.026e-5, 1.055e-5,
2168 1.095e-5, 1.095e-5, 1.087e-5, 1.056e-5, 1.026e-5, 9.715e-6,
2169 9.252e-6, 8.452e-6, 7.958e-6, 7.268e-6, 6.295e-6, 6.003e-6, 5e-6,
2170 4.591e-6, 3.983e-6, 3.479e-6, 3.058e-6, 2.667e-6, 2.293e-6,
2171 1.995e-6, 1.747e-6, 1.517e-6, 1.335e-6, 1.165e-6, 1.028e-6,
2172 9.007e-7, 7.956e-7, 7.015e-7, 6.192e-7, 5.491e-7, 4.859e-7,
2173 4.297e-7, 3.799e-7, 3.38e-7, 3.002e-7, 2.659e-7, 2.366e-7,
2174 2.103e-7, 1.861e-7, 1.655e-7, 1.469e-7, 1.309e-7, 1.162e-7,
2175 1.032e-7, 9.198e-8, 8.181e-8, 7.294e-8, 6.516e-8, 5.787e-8,
2176 5.163e-8, 4.612e-8, 4.119e-8, 3.695e-8, 3.308e-8, 2.976e-8,
2177 2.67e-8, 2.407e-8, 2.171e-8, 1.965e-8, 1.78e-8, 1.617e-8,
2178 1.47e-8, 1.341e-8, 1.227e-8, 1.125e-8, 1.033e-8, 9.524e-9,
2179 8.797e-9, 8.162e-9, 7.565e-9, 7.04e-9, 6.56e-9, 6.129e-9,
2180 5.733e-9, 5.376e-9, 5.043e-9, 4.75e-9, 4.466e-9, 4.211e-9,
2181 3.977e-9, 3.759e-9, 3.558e-9, 3.373e-9, 3.201e-9, 3.043e-9,
2182 2.895e-9, 2.76e-9, 2.635e-9, 2.518e-9, 2.411e-9, 2.314e-9,
2183 2.23e-9, 2.151e-9, 2.087e-9, 2.035e-9, 1.988e-9, 1.946e-9,
2184 1.927e-9, 1.916e-9, 1.916e-9, 1.933e-9, 1.966e-9, 2.018e-9,
2185 2.09e-9, 2.182e-9, 2.299e-9, 2.442e-9, 2.623e-9, 2.832e-9,
2186 3.079e-9, 3.368e-9, 3.714e-9, 4.104e-9, 4.567e-9, 5.091e-9,
2187 5.701e-9, 6.398e-9, 7.194e-9, 8.127e-9, 9.141e-9, 1.035e-8,
2188 1.177e-8, 1.338e-8, 1.508e-8, 1.711e-8, 1.955e-8, 2.216e-8,
2189 2.534e-8, 2.871e-8, 3.291e-8, 3.711e-8, 4.285e-8, 4.868e-8,
2190 5.509e-8, 6.276e-8, 7.262e-8, 8.252e-8, 9.4e-8, 1.064e-7,
2191 1.247e-7, 1.411e-7, 1.626e-7, 1.827e-7, 2.044e-7, 2.284e-7,
2192 2.452e-7, 2.854e-7, 3.026e-7, 3.278e-7, 3.474e-7, 3.693e-7,
2193 3.93e-7, 4.104e-7, 4.22e-7, 4.439e-7, 4.545e-7, 4.778e-7,
2194 4.812e-7, 5.018e-7, 4.899e-7, 5.075e-7, 5.073e-7, 5.171e-7,
2195 5.131e-7, 5.25e-7, 5.617e-7, 5.846e-7, 6.239e-7, 6.696e-7,
2196 7.398e-7, 8.073e-7, 9.15e-7, 1.009e-6, 1.116e-6, 1.264e-6,
2197 1.439e-6, 1.644e-6, 1.856e-6, 2.147e-6, 2.317e-6, 2.713e-6,
2198 2.882e-6, 2.99e-6, 3.489e-6, 3.581e-6, 4.033e-6, 4.26e-6,
2199 4.543e-6, 4.84e-6, 4.826e-6, 5.013e-6, 5.252e-6, 5.277e-6,
2200 5.306e-6, 5.236e-6, 5.123e-6, 5.171e-6, 4.843e-6, 4.615e-6,
2201 4.385e-6, 3.97e-6, 3.693e-6, 3.231e-6, 2.915e-6, 2.495e-6,
2202 2.144e-6, 1.91e-6, 1.639e-6, 1.417e-6, 1.226e-6, 1.065e-6,
2203 9.29e-7, 8.142e-7, 7.161e-7, 6.318e-7, 5.581e-7, 4.943e-7,
2204 4.376e-7, 3.884e-7, 3.449e-7, 3.06e-7, 2.712e-7, 2.412e-7,
2205 2.139e-7, 1.903e-7, 1.689e-7, 1.499e-7, 1.331e-7, 1.183e-7,
2206 1.05e-7, 9.362e-8, 8.306e-8, 7.403e-8, 6.578e-8, 5.853e-8,
2207 5.216e-8, 4.632e-8, 4.127e-8, 3.678e-8, 3.279e-8, 2.923e-8,
2208 2.612e-8, 2.339e-8, 2.094e-8, 1.877e-8, 1.686e-8, 1.516e-8,
2209 1.366e-8, 1.234e-8, 1.114e-8, 1.012e-8, 9.182e-9, 8.362e-9,
2210 7.634e-9, 6.981e-9, 6.406e-9, 5.888e-9, 5.428e-9, 5.021e-9,
2211 4.65e-9, 4.326e-9, 4.033e-9, 3.77e-9, 3.536e-9, 3.327e-9,
2212 3.141e-9, 2.974e-9, 2.825e-9, 2.697e-9, 2.584e-9, 2.488e-9,
2213 2.406e-9, 2.34e-9, 2.292e-9, 2.259e-9, 2.244e-9, 2.243e-9,
2214 2.272e-9, 2.31e-9, 2.378e-9, 2.454e-9, 2.618e-9, 2.672e-9,
2215 2.831e-9, 3.05e-9, 3.225e-9, 3.425e-9, 3.677e-9, 3.968e-9,
2216 4.221e-9, 4.639e-9, 4.96e-9, 5.359e-9, 5.649e-9, 6.23e-9,
2217 6.716e-9, 7.218e-9, 7.746e-9, 7.988e-9, 8.627e-9, 8.999e-9,
2218 9.442e-9, 9.82e-9, 1.015e-8, 1.06e-8, 1.079e-8, 1.109e-8,
2219 1.137e-8, 1.186e-8, 1.18e-8, 1.187e-8, 1.194e-8, 1.192e-8,
2220 1.224e-8, 1.245e-8, 1.246e-8, 1.318e-8, 1.377e-8, 1.471e-8,
2221 1.582e-8, 1.713e-8, 1.853e-8, 2.063e-8, 2.27e-8, 2.567e-8,
2222 2.891e-8, 3.264e-8, 3.744e-8, 4.286e-8, 4.915e-8, 5.623e-8,
2223 6.336e-8, 7.293e-8, 8.309e-8, 9.319e-8, 1.091e-7, 1.243e-7,
2224 1.348e-7, 1.449e-7, 1.62e-7, 1.846e-7, 1.937e-7, 2.04e-7,
2225 2.179e-7, 2.298e-7, 2.433e-7, 2.439e-7, 2.464e-7, 2.611e-7,
2226 2.617e-7, 2.582e-7, 2.453e-7, 2.401e-7, 2.349e-7, 2.203e-7,
2227 2.066e-7, 1.939e-7, 1.78e-7, 1.558e-7, 1.391e-7, 1.203e-7,
2228 1.048e-7, 9.464e-8, 8.306e-8, 7.239e-8, 6.317e-8, 5.52e-8,
2229 4.847e-8, 4.282e-8, 3.796e-8, 3.377e-8, 2.996e-8, 2.678e-8,
2230 2.4e-8, 2.134e-8, 1.904e-8, 1.705e-8, 1.523e-8, 1.35e-8,
2231 1.204e-8, 1.07e-8, 9.408e-9, 8.476e-9, 7.47e-9, 6.679e-9,
2232 5.929e-9, 5.267e-9, 4.711e-9, 4.172e-9, 3.761e-9, 3.288e-9,
2233 2.929e-9, 2.609e-9, 2.315e-9, 2.042e-9, 1.844e-9, 1.64e-9,
2234 1.47e-9, 1.31e-9, 1.176e-9, 1.049e-9, 9.377e-10, 8.462e-10,
2235 7.616e-10, 6.854e-10, 6.191e-10, 5.596e-10, 5.078e-10, 4.611e-10,
2236 4.197e-10, 3.83e-10, 3.505e-10, 3.215e-10, 2.956e-10, 2.726e-10,
2237 2.521e-10, 2.338e-10, 2.173e-10, 2.026e-10, 1.895e-10, 1.777e-10,
2238 1.672e-10, 1.579e-10, 1.496e-10, 1.423e-10, 1.358e-10, 1.302e-10,
2239 1.254e-10, 1.216e-10, 1.187e-10, 1.163e-10, 1.147e-10, 1.145e-10,
2240 1.15e-10, 1.17e-10, 1.192e-10, 1.25e-10, 1.298e-10, 1.345e-10,
2241 1.405e-10, 1.538e-10, 1.648e-10, 1.721e-10, 1.872e-10, 1.968e-10,
2242 2.089e-10, 2.172e-10, 2.317e-10, 2.389e-10, 2.503e-10, 2.585e-10,
2243 2.686e-10, 2.8e-10, 2.895e-10, 3.019e-10, 3.037e-10, 3.076e-10,
2244 3.146e-10, 3.198e-10, 3.332e-10, 3.397e-10, 3.54e-10, 3.667e-10,
2245 3.895e-10, 4.071e-10, 4.565e-10, 4.983e-10, 5.439e-10, 5.968e-10,
2246 6.676e-10, 7.456e-10, 8.405e-10, 9.478e-10, 1.064e-9, 1.218e-9,
2247 1.386e-9, 1.581e-9, 1.787e-9, 2.032e-9, 2.347e-9, 2.677e-9,
2248 3.008e-9, 3.544e-9, 4.056e-9, 4.687e-9, 5.331e-9, 6.227e-9,
2249 6.854e-9, 8.139e-9, 8.945e-9, 9.865e-9, 1.125e-8, 1.178e-8,
2250 1.364e-8, 1.436e-8, 1.54e-8, 1.672e-8, 1.793e-8, 1.906e-8,
2251 2.036e-8, 2.144e-8, 2.292e-8, 2.371e-8, 2.493e-8, 2.606e-8,
2252 2.706e-8, 2.866e-8, 3.036e-8, 3.136e-8, 3.405e-8, 3.665e-8,
2253 3.837e-8, 4.229e-8, 4.748e-8, 5.32e-8, 5.763e-8, 6.677e-8,
2254 7.216e-8, 7.716e-8, 8.958e-8, 9.419e-8, 1.036e-7, 1.108e-7,
2255 1.189e-7, 1.246e-7, 1.348e-7, 1.31e-7, 1.361e-7, 1.364e-7,
2256 1.363e-7, 1.343e-7, 1.293e-7, 1.254e-7, 1.235e-7, 1.158e-7,
2257 1.107e-7, 9.961e-8, 9.011e-8, 7.91e-8, 6.916e-8, 6.338e-8,
2258 5.564e-8, 4.827e-8, 4.198e-8, 3.695e-8, 3.276e-8, 2.929e-8,
2259 2.633e-8, 2.391e-8, 2.192e-8, 2.021e-8, 1.89e-8, 1.772e-8,
2260 1.667e-8, 1.603e-8, 1.547e-8, 1.537e-8, 1.492e-8, 1.515e-8,
2261 1.479e-8, 1.45e-8, 1.513e-8, 1.495e-8, 1.529e-8, 1.565e-8,
2262 1.564e-8, 1.553e-8, 1.569e-8, 1.584e-8, 1.57e-8, 1.538e-8,
2263 1.513e-8, 1.472e-8, 1.425e-8, 1.349e-8, 1.328e-8, 1.249e-8,
2264 1.17e-8, 1.077e-8, 9.514e-9, 8.614e-9, 7.46e-9, 6.621e-9,
2265 5.775e-9, 5.006e-9, 4.308e-9, 3.747e-9, 3.24e-9, 2.84e-9,
2266 2.481e-9, 2.184e-9, 1.923e-9, 1.71e-9, 1.504e-9, 1.334e-9,
2267 1.187e-9, 1.053e-9, 9.367e-10, 8.306e-10, 7.419e-10, 6.63e-10,
2268 5.918e-10, 5.277e-10, 4.717e-10, 4.222e-10, 3.783e-10, 3.39e-10,
2269 3.036e-10, 2.729e-10, 2.455e-10, 2.211e-10, 1.995e-10, 1.804e-10,
2270 1.635e-10, 1.485e-10, 1.355e-10, 1.24e-10, 1.139e-10, 1.051e-10,
2271 9.757e-11, 9.114e-11, 8.577e-11, 8.139e-11, 7.792e-11, 7.52e-11,
2272 7.39e-11, 7.311e-11, 7.277e-11, 7.482e-11, 7.698e-11, 8.162e-11,
2273 8.517e-11, 8.968e-11, 9.905e-11, 1.075e-10, 1.187e-10, 1.291e-10,
2274 1.426e-10, 1.573e-10, 1.734e-10, 1.905e-10, 2.097e-10, 2.28e-10,
2275 2.473e-10, 2.718e-10, 2.922e-10, 3.128e-10, 3.361e-10, 3.641e-10,
2276 3.91e-10, 4.196e-10, 4.501e-10, 4.932e-10, 5.258e-10, 5.755e-10,
2277 6.253e-10, 6.664e-10, 7.344e-10, 7.985e-10, 8.877e-10, 1.005e-9,
2278 1.118e-9, 1.251e-9, 1.428e-9, 1.61e-9, 1.888e-9, 2.077e-9,
2279 2.331e-9, 2.751e-9, 3.061e-9, 3.522e-9, 3.805e-9, 4.181e-9,
2280 4.575e-9, 5.167e-9, 5.634e-9, 6.007e-9, 6.501e-9, 6.829e-9,
2281 7.211e-9, 7.262e-9, 7.696e-9, 7.832e-9, 7.799e-9, 7.651e-9,
2282 7.304e-9, 7.15e-9, 6.977e-9, 6.603e-9, 6.209e-9, 5.69e-9,
2283 5.432e-9, 4.764e-9, 4.189e-9, 3.64e-9, 3.203e-9, 2.848e-9,
2284 2.51e-9, 2.194e-9, 1.946e-9, 1.75e-9, 1.567e-9, 1.426e-9,
2285 1.302e-9, 1.197e-9, 1.109e-9, 1.035e-9, 9.719e-10, 9.207e-10,
2286 8.957e-10, 8.578e-10, 8.262e-10, 8.117e-10, 7.987e-10, 7.875e-10,
2287 7.741e-10, 7.762e-10, 7.537e-10, 7.424e-10, 7.474e-10, 7.294e-10,
2288 7.216e-10, 7.233e-10, 7.075e-10, 6.892e-10, 6.618e-10, 6.314e-10,
2289 6.208e-10, 5.689e-10, 5.55e-10, 4.984e-10, 4.6e-10, 4.078e-10,
2290 3.879e-10, 3.459e-10, 2.982e-10, 2.626e-10, 2.329e-10, 1.988e-10,
2291 1.735e-10, 1.487e-10, 1.297e-10, 1.133e-10, 9.943e-11, 8.736e-11,
2292 7.726e-11, 6.836e-11, 6.053e-11, 5.384e-11, 4.789e-11, 4.267e-11,
2293 3.804e-11, 3.398e-11, 3.034e-11, 2.71e-11, 2.425e-11, 2.173e-11,
2294 1.95e-11, 1.752e-11, 1.574e-11, 1.418e-11, 1.278e-11, 1.154e-11,
2295 1.044e-11, 9.463e-12, 8.602e-12, 7.841e-12, 7.171e-12, 6.584e-12,
2296 6.073e-12, 5.631e-12, 5.254e-12, 4.937e-12, 4.679e-12, 4.476e-12,
2297 4.328e-12, 4.233e-12, 4.194e-12, 4.211e-12, 4.286e-12, 4.424e-12,
2298 4.628e-12, 4.906e-12, 5.262e-12, 5.708e-12, 6.254e-12, 6.914e-12,
2299 7.714e-12, 8.677e-12, 9.747e-12, 1.101e-11, 1.256e-11, 1.409e-11,
2300 1.597e-11, 1.807e-11, 2.034e-11, 2.316e-11, 2.622e-11, 2.962e-11,
2301 3.369e-11, 3.819e-11, 4.329e-11, 4.932e-11, 5.589e-11, 6.364e-11,
2302 7.284e-11, 8.236e-11, 9.447e-11, 1.078e-10, 1.229e-10, 1.417e-10,
2303 1.614e-10, 1.843e-10, 2.107e-10, 2.406e-10, 2.728e-10, 3.195e-10,
2304 3.595e-10, 4.153e-10, 4.736e-10, 5.41e-10, 6.088e-10, 6.769e-10,
2305 7.691e-10, 8.545e-10, 9.621e-10, 1.047e-9, 1.161e-9, 1.296e-9,
2306 1.424e-9, 1.576e-9, 1.739e-9, 1.893e-9, 2.08e-9, 2.336e-9,
2307 2.604e-9, 2.76e-9, 3.001e-9, 3.365e-9, 3.55e-9, 3.895e-9,
2308 4.183e-9, 4.614e-9, 4.846e-9, 5.068e-9, 5.427e-9, 5.541e-9,
2309 5.864e-9, 5.997e-9, 5.997e-9, 6.061e-9, 5.944e-9, 5.855e-9,
2310 5.661e-9, 5.523e-9, 5.374e-9, 4.94e-9, 4.688e-9, 4.17e-9,
2311 3.913e-9, 3.423e-9, 2.997e-9, 2.598e-9, 2.253e-9, 1.946e-9,
2312 1.71e-9, 1.507e-9, 1.336e-9, 1.19e-9, 1.068e-9, 9.623e-10,
2313 8.772e-10, 8.007e-10, 7.42e-10, 6.884e-10, 6.483e-10, 6.162e-10,
2314 5.922e-10, 5.688e-10, 5.654e-10, 5.637e-10, 5.701e-10, 5.781e-10,
2315 5.874e-10, 6.268e-10, 6.357e-10, 6.525e-10, 7.137e-10, 7.441e-10,
2316 8.024e-10, 8.485e-10, 9.143e-10, 9.536e-10, 9.717e-10, 1.018e-9,
2317 1.042e-9, 1.054e-9, 1.092e-9, 1.079e-9, 1.064e-9, 1.043e-9,
2318 1.02e-9, 9.687e-10, 9.273e-10, 9.208e-10, 9.068e-10, 7.687e-10,
2319 7.385e-10, 6.595e-10, 5.87e-10, 5.144e-10, 4.417e-10, 3.804e-10,
2320 3.301e-10, 2.866e-10, 2.509e-10, 2.202e-10, 1.947e-10, 1.719e-10,
2321 1.525e-10, 1.361e-10, 1.21e-10, 1.084e-10, 9.8e-11, 8.801e-11,
2322 7.954e-11, 7.124e-11, 6.335e-11, 5.76e-11, 5.132e-11, 4.601e-11,
2323 4.096e-11, 3.657e-11, 3.25e-11, 2.909e-11, 2.587e-11, 2.297e-11,
2324 2.05e-11, 1.828e-11, 1.632e-11, 1.462e-11, 1.314e-11, 1.185e-11,
2325 1.073e-11, 9.76e-12, 8.922e-12, 8.206e-12, 7.602e-12, 7.1e-12,
2326 6.694e-12, 6.378e-12, 6.149e-12, 6.004e-12, 5.941e-12, 5.962e-12,
2327 6.069e-12, 6.265e-12, 6.551e-12, 6.935e-12, 7.457e-12, 8.074e-12,
2328 8.811e-12, 9.852e-12, 1.086e-11, 1.207e-11, 1.361e-11, 1.553e-11,
2329 1.737e-11, 1.93e-11, 2.175e-11, 2.41e-11, 2.706e-11, 3.023e-11,
2330 3.313e-11, 3.657e-11, 4.118e-11, 4.569e-11, 5.025e-11, 5.66e-11,
2331 6.231e-11, 6.881e-11, 7.996e-11, 8.526e-11, 9.694e-11, 1.106e-10,
2332 1.222e-10, 1.355e-10, 1.525e-10, 1.775e-10, 1.924e-10, 2.181e-10,
2333 2.379e-10, 2.662e-10, 2.907e-10, 3.154e-10, 3.366e-10, 3.579e-10,
2334 3.858e-10, 4.046e-10, 4.196e-10, 4.166e-10, 4.457e-10, 4.466e-10,
2335 4.404e-10, 4.337e-10, 4.15e-10, 4.083e-10, 3.91e-10, 3.723e-10,
2336 3.514e-10, 3.303e-10, 2.847e-10, 2.546e-10, 2.23e-10, 1.994e-10,
2337 1.733e-10, 1.488e-10, 1.297e-10, 1.144e-10, 1.004e-10, 8.741e-11,
2338 7.928e-11, 7.034e-11, 6.323e-11, 5.754e-11, 5.25e-11, 4.85e-11,
2339 4.502e-11, 4.286e-11, 4.028e-11, 3.899e-11, 3.824e-11, 3.761e-11,
2340 3.804e-11, 3.839e-11, 3.845e-11, 4.244e-11, 4.382e-11, 4.582e-11,
2341 4.847e-11, 5.209e-11, 5.384e-11, 5.887e-11, 6.371e-11, 6.737e-11,
2342 7.168e-11, 7.415e-11, 7.827e-11, 8.037e-11, 8.12e-11, 8.071e-11,
2343 8.008e-11, 7.851e-11, 7.544e-11, 7.377e-11, 7.173e-11, 6.801e-11,
2344 6.267e-11, 5.727e-11, 5.288e-11, 4.853e-11, 4.082e-11, 3.645e-11,
2345 3.136e-11, 2.672e-11, 2.304e-11, 1.986e-11, 1.725e-11, 1.503e-11,
2346 1.315e-11, 1.153e-11, 1.014e-11, 8.942e-12, 7.901e-12, 6.993e-12,
2347 6.199e-12, 5.502e-12, 4.89e-12, 4.351e-12, 3.878e-12, 3.461e-12,
2348 3.094e-12, 2.771e-12, 2.488e-12, 2.241e-12, 2.025e-12, 1.838e-12,
2349 1.677e-12, 1.541e-12, 1.427e-12, 1.335e-12, 1.262e-12, 1.209e-12,
2350 1.176e-12, 1.161e-12, 1.165e-12, 1.189e-12, 1.234e-12, 1.3e-12,
2351 1.389e-12, 1.503e-12, 1.644e-12, 1.814e-12, 2.017e-12, 2.255e-12,
2352 2.534e-12, 2.858e-12, 3.231e-12, 3.661e-12, 4.153e-12, 4.717e-12,
2353 5.36e-12, 6.094e-12, 6.93e-12, 7.882e-12, 8.966e-12, 1.02e-11,
2354 1.162e-11, 1.324e-11, 1.51e-11, 1.72e-11, 1.965e-11, 2.237e-11,
2355 2.56e-11, 2.927e-11, 3.371e-11, 3.842e-11, 4.429e-11, 5.139e-11,
2356 5.798e-11, 6.697e-11, 7.626e-11, 8.647e-11, 1.022e-10, 1.136e-10,
2357 1.3e-10, 1.481e-10, 1.672e-10, 1.871e-10, 2.126e-10, 2.357e-10,
2358 2.583e-10, 2.997e-10, 3.289e-10, 3.702e-10, 4.012e-10, 4.319e-10,
2359 4.527e-10, 5.001e-10, 5.448e-10, 5.611e-10, 5.76e-10, 5.965e-10,
2360 6.079e-10, 6.207e-10, 6.276e-10, 6.222e-10, 6.137e-10, 6e-10,
2361 5.814e-10, 5.393e-10, 5.35e-10, 4.947e-10, 4.629e-10, 4.117e-10,
2362 3.712e-10, 3.372e-10, 2.923e-10, 2.55e-10, 2.232e-10, 1.929e-10,
2363 1.679e-10, 1.46e-10, 1.289e-10, 1.13e-10, 9.953e-11, 8.763e-11,
2364 7.76e-11, 6.9e-11, 6.16e-11, 5.525e-11, 4.958e-11, 4.489e-11,
2365 4.072e-11, 3.728e-11, 3.438e-11, 3.205e-11, 3.006e-11, 2.848e-11,
2366 2.766e-11, 2.688e-11, 2.664e-11, 2.67e-11, 2.696e-11, 2.786e-11,
2367 2.861e-11, 3.009e-11, 3.178e-11, 3.389e-11, 3.587e-11, 3.819e-11,
2368 4.054e-11, 4.417e-11, 4.703e-11, 5.137e-11, 5.46e-11, 6.055e-11,
2369 6.333e-11, 6.773e-11, 7.219e-11, 7.717e-11, 8.131e-11, 8.491e-11,
2370 8.574e-11, 9.01e-11, 9.017e-11, 8.999e-11, 8.959e-11, 8.838e-11,
2371 8.579e-11, 8.162e-11, 8.098e-11, 7.472e-11, 7.108e-11, 6.559e-11,
2372 5.994e-11, 5.172e-11, 4.424e-11, 3.951e-11, 3.34e-11, 2.902e-11,
2373 2.541e-11, 2.215e-11, 1.945e-11, 1.716e-11, 1.503e-11, 1.339e-11,
2374 1.185e-11, 1.05e-11, 9.336e-12, 8.307e-12, 7.312e-12, 6.55e-12,
2375 5.836e-12, 5.178e-12, 4.6e-12, 4.086e-12, 3.639e-12, 3.247e-12,
2376 2.904e-12, 2.604e-12, 2.341e-12, 2.112e-12, 1.914e-12, 1.744e-12,
2377 1.598e-12, 1.476e-12, 1.374e-12, 1.293e-12, 1.23e-12, 1.185e-12,
2378 1.158e-12, 1.147e-12, 1.154e-12, 1.177e-12, 1.219e-12, 1.28e-12,
2379 1.36e-12, 1.463e-12, 1.591e-12, 1.75e-12, 1.94e-12, 2.156e-12,
2380 2.43e-12, 2.748e-12, 3.052e-12, 3.533e-12, 3.967e-12, 4.471e-12,
2381 5.041e-12, 5.86e-12, 6.664e-12, 7.522e-12, 8.342e-12, 9.412e-12,
2382 1.072e-11, 1.213e-11, 1.343e-11, 1.496e-11, 1.664e-11, 1.822e-11,
2383 2.029e-11, 2.233e-11, 2.457e-11, 2.709e-11, 2.928e-11, 3.115e-11,
2384 3.356e-11, 3.592e-11, 3.818e-11, 3.936e-11, 4.061e-11, 4.149e-11,
2385 4.299e-11, 4.223e-11, 4.251e-11, 4.287e-11, 4.177e-11, 4.094e-11,
2386 3.942e-11, 3.772e-11, 3.614e-11, 3.394e-11, 3.222e-11, 2.791e-11,
2387 2.665e-11, 2.309e-11, 2.032e-11, 1.74e-11, 1.535e-11, 1.323e-11,
2388 1.151e-11, 9.803e-12, 8.65e-12, 7.54e-12, 6.619e-12, 5.832e-12,
2389 5.113e-12, 4.503e-12, 3.975e-12, 3.52e-12, 3.112e-12, 2.797e-12,
2390 2.5e-12, 2.24e-12, 2.013e-12, 1.819e-12, 1.653e-12, 1.513e-12,
2391 1.395e-12, 1.299e-12, 1.225e-12, 1.168e-12, 1.124e-12, 1.148e-12,
2392 1.107e-12, 1.128e-12, 1.169e-12, 1.233e-12, 1.307e-12, 1.359e-12,
2393 1.543e-12, 1.686e-12, 1.794e-12, 2.028e-12, 2.21e-12, 2.441e-12,
2394 2.653e-12, 2.828e-12, 3.093e-12, 3.28e-12, 3.551e-12, 3.677e-12,
2395 3.803e-12, 3.844e-12, 4.068e-12, 4.093e-12, 4.002e-12, 3.904e-12,
2396 3.624e-12, 3.633e-12, 3.622e-12, 3.443e-12, 3.184e-12, 2.934e-12,
2397 2.476e-12, 2.212e-12, 1.867e-12, 1.594e-12, 1.37e-12, 1.192e-12,
2398 1.045e-12, 9.211e-13, 8.17e-13, 7.29e-13, 6.55e-13, 5.929e-13,
2399 5.415e-13, 4.995e-13, 4.661e-13, 4.406e-13, 4.225e-13, 4.116e-13,
2400 4.075e-13, 4.102e-13, 4.198e-13, 4.365e-13, 4.606e-13, 4.925e-13,
2401 5.326e-13, 5.818e-13, 6.407e-13, 7.104e-13, 7.92e-13, 8.868e-13,
2402 9.964e-13, 1.123e-12, 1.268e-12, 1.434e-12, 1.626e-12, 1.848e-12,
2403 2.107e-12, 2.422e-12, 2.772e-12, 3.145e-12, 3.704e-12, 4.27e-12,
2404 4.721e-12, 5.361e-12, 6.083e-12, 7.095e-12, 7.968e-12, 9.228e-12,
2405 1.048e-11, 1.187e-11, 1.336e-11, 1.577e-11, 1.772e-11, 2.017e-11,
2406 2.25e-11, 2.63e-11, 2.911e-11, 3.356e-11, 3.82e-11, 4.173e-11,
2407 4.811e-11, 5.254e-11, 5.839e-11, 6.187e-11, 6.805e-11, 7.118e-11,
2408 7.369e-11, 7.664e-11, 7.794e-11, 7.947e-11, 8.036e-11, 7.954e-11,
2409 7.849e-11, 7.518e-11, 7.462e-11, 6.926e-11, 6.531e-11, 6.197e-11,
2410 5.421e-11, 4.777e-11, 4.111e-11, 3.679e-11, 3.166e-11, 2.786e-11,
2411 2.436e-11, 2.144e-11, 1.859e-11, 1.628e-11, 1.414e-11, 1.237e-11,
2412 1.093e-11, 9.558e-12
2413 };
2414
2415 static const double h2o260[2001] =
2416 { .2752, .2732, .2749, .2676, .2667, .2545,
2417 .2497, .2327, .2218, .2036, .1825, .1694, .1497, .1353, .121,
2418 .1014, .09405, .07848, .07195, .06246, .05306, .04853, .04138,
2419 .03735, .03171, .02785, .02431, .02111, .01845, .0164, .01405,
2420 .01255, .01098, .009797, .008646, .007779, .006898, .006099,
2421 .005453, .004909, .004413, .003959, .003581, .003199, .002871,
2422 .002583, .00233, .002086, .001874, .001684, .001512, .001361,
2423 .001225, .0011, 9.89e-4, 8.916e-4, 8.039e-4, 7.256e-4, 6.545e-4,
2424 5.918e-4, 5.359e-4, 4.867e-4, 4.426e-4, 4.033e-4, 3.682e-4,
2425 3.366e-4, 3.085e-4, 2.833e-4, 2.605e-4, 2.403e-4, 2.221e-4,
2426 2.055e-4, 1.908e-4, 1.774e-4, 1.653e-4, 1.544e-4, 1.443e-4,
2427 1.351e-4, 1.267e-4, 1.19e-4, 1.119e-4, 1.053e-4, 9.922e-5,
2428 9.355e-5, 8.831e-5, 8.339e-5, 7.878e-5, 7.449e-5, 7.043e-5,
2429 6.664e-5, 6.307e-5, 5.969e-5, 5.654e-5, 5.357e-5, 5.075e-5,
2430 4.81e-5, 4.56e-5, 4.322e-5, 4.102e-5, 3.892e-5, 3.696e-5,
2431 3.511e-5, 3.339e-5, 3.177e-5, 3.026e-5, 2.886e-5, 2.756e-5,
2432 2.636e-5, 2.527e-5, 2.427e-5, 2.337e-5, 2.257e-5, 2.185e-5,
2433 2.127e-5, 2.08e-5, 2.041e-5, 2.013e-5, 2e-5, 1.997e-5, 2.009e-5,
2434 2.031e-5, 2.068e-5, 2.124e-5, 2.189e-5, 2.267e-5, 2.364e-5,
2435 2.463e-5, 2.618e-5, 2.774e-5, 2.937e-5, 3.144e-5, 3.359e-5,
2436 3.695e-5, 4.002e-5, 4.374e-5, 4.947e-5, 5.431e-5, 6.281e-5,
2437 7.169e-5, 8.157e-5, 9.728e-5, 1.079e-4, 1.337e-4, 1.442e-4,
2438 1.683e-4, 1.879e-4, 2.223e-4, 2.425e-4, 2.838e-4, 3.143e-4,
2439 3.527e-4, 4.012e-4, 4.237e-4, 4.747e-4, 5.057e-4, 5.409e-4,
2440 5.734e-4, 5.944e-4, 6.077e-4, 6.175e-4, 6.238e-4, 6.226e-4,
2441 6.248e-4, 6.192e-4, 6.098e-4, 5.818e-4, 5.709e-4, 5.465e-4,
2442 5.043e-4, 4.699e-4, 4.294e-4, 3.984e-4, 3.672e-4, 3.152e-4,
2443 2.883e-4, 2.503e-4, 2.211e-4, 1.92e-4, 1.714e-4, 1.485e-4,
2444 1.358e-4, 1.156e-4, 1.021e-4, 8.887e-5, 7.842e-5, 7.12e-5,
2445 6.186e-5, 5.73e-5, 4.792e-5, 4.364e-5, 3.72e-5, 3.28e-5,
2446 2.946e-5, 2.591e-5, 2.261e-5, 2.048e-5, 1.813e-5, 1.63e-5,
2447 1.447e-5, 1.282e-5, 1.167e-5, 1.041e-5, 9.449e-6, 8.51e-6,
2448 7.596e-6, 6.961e-6, 6.272e-6, 5.728e-6, 5.198e-6, 4.667e-6,
2449 4.288e-6, 3.897e-6, 3.551e-6, 3.235e-6, 2.952e-6, 2.688e-6,
2450 2.449e-6, 2.241e-6, 2.05e-6, 1.879e-6, 1.722e-6, 1.582e-6,
2451 1.456e-6, 1.339e-6, 1.236e-6, 1.144e-6, 1.06e-6, 9.83e-7,
2452 9.149e-7, 8.535e-7, 7.973e-7, 7.466e-7, 6.999e-7, 6.574e-7,
2453 6.18e-7, 5.821e-7, 5.487e-7, 5.18e-7, 4.896e-7, 4.631e-7,
2454 4.386e-7, 4.16e-7, 3.945e-7, 3.748e-7, 3.562e-7, 3.385e-7,
2455 3.222e-7, 3.068e-7, 2.922e-7, 2.788e-7, 2.659e-7, 2.539e-7,
2456 2.425e-7, 2.318e-7, 2.219e-7, 2.127e-7, 2.039e-7, 1.958e-7,
2457 1.885e-7, 1.818e-7, 1.758e-7, 1.711e-7, 1.662e-7, 1.63e-7,
2458 1.605e-7, 1.58e-7, 1.559e-7, 1.545e-7, 1.532e-7, 1.522e-7,
2459 1.51e-7, 1.495e-7, 1.465e-7, 1.483e-7, 1.469e-7, 1.448e-7,
2460 1.444e-7, 1.436e-7, 1.426e-7, 1.431e-7, 1.425e-7, 1.445e-7,
2461 1.477e-7, 1.515e-7, 1.567e-7, 1.634e-7, 1.712e-7, 1.802e-7,
2462 1.914e-7, 2.024e-7, 2.159e-7, 2.295e-7, 2.461e-7, 2.621e-7,
2463 2.868e-7, 3.102e-7, 3.394e-7, 3.784e-7, 4.223e-7, 4.864e-7,
2464 5.501e-7, 6.039e-7, 7.193e-7, 7.728e-7, 9.514e-7, 1.073e-6,
2465 1.18e-6, 1.333e-6, 1.472e-6, 1.566e-6, 1.677e-6, 1.784e-6,
2466 1.904e-6, 1.953e-6, 2.02e-6, 2.074e-6, 2.128e-6, 2.162e-6,
2467 2.219e-6, 2.221e-6, 2.249e-6, 2.239e-6, 2.235e-6, 2.185e-6,
2468 2.141e-6, 2.124e-6, 2.09e-6, 2.068e-6, 2.1e-6, 2.104e-6,
2469 2.142e-6, 2.181e-6, 2.257e-6, 2.362e-6, 2.5e-6, 2.664e-6,
2470 2.884e-6, 3.189e-6, 3.48e-6, 3.847e-6, 4.313e-6, 4.79e-6,
2471 5.25e-6, 5.989e-6, 6.692e-6, 7.668e-6, 8.52e-6, 9.606e-6,
2472 1.073e-5, 1.225e-5, 1.377e-5, 1.582e-5, 1.761e-5, 2.029e-5,
2473 2.284e-5, 2.602e-5, 2.94e-5, 3.483e-5, 3.928e-5, 4.618e-5,
2474 5.24e-5, 6.132e-5, 7.183e-5, 8.521e-5, 9.111e-5, 1.07e-4,
2475 1.184e-4, 1.264e-4, 1.475e-4, 1.612e-4, 1.704e-4, 1.818e-4,
2476 1.924e-4, 1.994e-4, 2.061e-4, 2.18e-4, 2.187e-4, 2.2e-4,
2477 2.196e-4, 2.131e-4, 2.015e-4, 1.988e-4, 1.847e-4, 1.729e-4,
2478 1.597e-4, 1.373e-4, 1.262e-4, 1.087e-4, 9.439e-5, 8.061e-5,
2479 7.093e-5, 6.049e-5, 5.12e-5, 4.435e-5, 3.817e-5, 3.34e-5,
2480 2.927e-5, 2.573e-5, 2.291e-5, 2.04e-5, 1.827e-5, 1.636e-5,
2481 1.463e-5, 1.309e-5, 1.17e-5, 1.047e-5, 9.315e-6, 8.328e-6,
2482 7.458e-6, 6.665e-6, 5.94e-6, 5.316e-6, 4.752e-6, 4.252e-6,
2483 3.825e-6, 3.421e-6, 3.064e-6, 2.746e-6, 2.465e-6, 2.216e-6,
2484 1.99e-6, 1.79e-6, 1.609e-6, 1.449e-6, 1.306e-6, 1.177e-6,
2485 1.063e-6, 9.607e-7, 8.672e-7, 7.855e-7, 7.118e-7, 6.46e-7,
2486 5.871e-7, 5.34e-7, 4.868e-7, 4.447e-7, 4.068e-7, 3.729e-7,
2487 3.423e-7, 3.151e-7, 2.905e-7, 2.686e-7, 2.484e-7, 2.306e-7,
2488 2.142e-7, 1.995e-7, 1.86e-7, 1.738e-7, 1.626e-7, 1.522e-7,
2489 1.427e-7, 1.338e-7, 1.258e-7, 1.183e-7, 1.116e-7, 1.056e-7,
2490 9.972e-8, 9.46e-8, 9.007e-8, 8.592e-8, 8.195e-8, 7.816e-8,
2491 7.483e-8, 7.193e-8, 6.892e-8, 6.642e-8, 6.386e-8, 6.154e-8,
2492 5.949e-8, 5.764e-8, 5.622e-8, 5.479e-8, 5.364e-8, 5.301e-8,
2493 5.267e-8, 5.263e-8, 5.313e-8, 5.41e-8, 5.55e-8, 5.745e-8,
2494 6.003e-8, 6.311e-8, 6.713e-8, 7.173e-8, 7.724e-8, 8.368e-8,
2495 9.121e-8, 9.986e-8, 1.097e-7, 1.209e-7, 1.338e-7, 1.486e-7,
2496 1.651e-7, 1.837e-7, 2.048e-7, 2.289e-7, 2.557e-7, 2.857e-7,
2497 3.195e-7, 3.587e-7, 4.015e-7, 4.497e-7, 5.049e-7, 5.665e-7,
2498 6.366e-7, 7.121e-7, 7.996e-7, 8.946e-7, 1.002e-6, 1.117e-6,
2499 1.262e-6, 1.416e-6, 1.611e-6, 1.807e-6, 2.056e-6, 2.351e-6,
2500 2.769e-6, 3.138e-6, 3.699e-6, 4.386e-6, 5.041e-6, 6.074e-6,
2501 6.812e-6, 7.79e-6, 8.855e-6, 1.014e-5, 1.095e-5, 1.245e-5,
2502 1.316e-5, 1.39e-5, 1.504e-5, 1.583e-5, 1.617e-5, 1.652e-5,
2503 1.713e-5, 1.724e-5, 1.715e-5, 1.668e-5, 1.629e-5, 1.552e-5,
2504 1.478e-5, 1.34e-5, 1.245e-5, 1.121e-5, 9.575e-6, 8.956e-6,
2505 7.345e-6, 6.597e-6, 5.612e-6, 4.818e-6, 4.165e-6, 3.579e-6,
2506 3.041e-6, 2.623e-6, 2.29e-6, 1.984e-6, 1.748e-6, 1.534e-6,
2507 1.369e-6, 1.219e-6, 1.092e-6, 9.8e-7, 8.762e-7, 7.896e-7,
2508 7.104e-7, 6.364e-7, 5.691e-7, 5.107e-7, 4.575e-7, 4.09e-7,
2509 3.667e-7, 3.287e-7, 2.931e-7, 2.633e-7, 2.356e-7, 2.111e-7,
2510 1.895e-7, 1.697e-7, 1.525e-7, 1.369e-7, 1.233e-7, 1.114e-7,
2511 9.988e-8, 9.004e-8, 8.149e-8, 7.352e-8, 6.662e-8, 6.03e-8,
2512 5.479e-8, 4.974e-8, 4.532e-8, 4.129e-8, 3.781e-8, 3.462e-8,
2513 3.176e-8, 2.919e-8, 2.687e-8, 2.481e-8, 2.292e-8, 2.119e-8,
2514 1.967e-8, 1.828e-8, 1.706e-8, 1.589e-8, 1.487e-8, 1.393e-8,
2515 1.307e-8, 1.228e-8, 1.156e-8, 1.089e-8, 1.028e-8, 9.696e-9,
2516 9.159e-9, 8.658e-9, 8.187e-9, 7.746e-9, 7.34e-9, 6.953e-9,
2517 6.594e-9, 6.259e-9, 5.948e-9, 5.66e-9, 5.386e-9, 5.135e-9,
2518 4.903e-9, 4.703e-9, 4.515e-9, 4.362e-9, 4.233e-9, 4.117e-9,
2519 4.017e-9, 3.962e-9, 3.924e-9, 3.905e-9, 3.922e-9, 3.967e-9,
2520 4.046e-9, 4.165e-9, 4.32e-9, 4.522e-9, 4.769e-9, 5.083e-9,
2521 5.443e-9, 5.872e-9, 6.366e-9, 6.949e-9, 7.601e-9, 8.371e-9,
2522 9.22e-9, 1.02e-8, 1.129e-8, 1.251e-8, 1.393e-8, 1.542e-8,
2523 1.72e-8, 1.926e-8, 2.152e-8, 2.392e-8, 2.678e-8, 3.028e-8,
2524 3.39e-8, 3.836e-8, 4.309e-8, 4.9e-8, 5.481e-8, 6.252e-8,
2525 7.039e-8, 7.883e-8, 8.849e-8, 1.012e-7, 1.142e-7, 1.3e-7,
2526 1.475e-7, 1.732e-7, 1.978e-7, 2.304e-7, 2.631e-7, 2.988e-7,
2527 3.392e-7, 3.69e-7, 4.355e-7, 4.672e-7, 5.11e-7, 5.461e-7,
2528 5.828e-7, 6.233e-7, 6.509e-7, 6.672e-7, 6.969e-7, 7.104e-7,
2529 7.439e-7, 7.463e-7, 7.708e-7, 7.466e-7, 7.668e-7, 7.549e-7,
2530 7.586e-7, 7.384e-7, 7.439e-7, 7.785e-7, 7.915e-7, 8.31e-7,
2531 8.745e-7, 9.558e-7, 1.038e-6, 1.173e-6, 1.304e-6, 1.452e-6,
2532 1.671e-6, 1.931e-6, 2.239e-6, 2.578e-6, 3.032e-6, 3.334e-6,
2533 3.98e-6, 4.3e-6, 4.518e-6, 5.321e-6, 5.508e-6, 6.211e-6, 6.59e-6,
2534 7.046e-6, 7.555e-6, 7.558e-6, 7.875e-6, 8.319e-6, 8.433e-6,
2535 8.59e-6, 8.503e-6, 8.304e-6, 8.336e-6, 7.739e-6, 7.301e-6,
2536 6.827e-6, 6.078e-6, 5.551e-6, 4.762e-6, 4.224e-6, 3.538e-6,
2537 2.984e-6, 2.619e-6, 2.227e-6, 1.923e-6, 1.669e-6, 1.462e-6,
2538 1.294e-6, 1.155e-6, 1.033e-6, 9.231e-7, 8.238e-7, 7.36e-7,
2539 6.564e-7, 5.869e-7, 5.236e-7, 4.673e-7, 4.174e-7, 3.736e-7,
2540 3.33e-7, 2.976e-7, 2.657e-7, 2.367e-7, 2.106e-7, 1.877e-7,
2541 1.671e-7, 1.494e-7, 1.332e-7, 1.192e-7, 1.065e-7, 9.558e-8,
2542 8.586e-8, 7.717e-8, 6.958e-8, 6.278e-8, 5.666e-8, 5.121e-8,
2543 4.647e-8, 4.213e-8, 3.815e-8, 3.459e-8, 3.146e-8, 2.862e-8,
2544 2.604e-8, 2.375e-8, 2.162e-8, 1.981e-8, 1.817e-8, 1.67e-8,
2545 1.537e-8, 1.417e-8, 1.31e-8, 1.215e-8, 1.128e-8, 1.05e-8,
2546 9.793e-9, 9.158e-9, 8.586e-9, 8.068e-9, 7.595e-9, 7.166e-9,
2547 6.778e-9, 6.427e-9, 6.108e-9, 5.826e-9, 5.571e-9, 5.347e-9,
2548 5.144e-9, 4.968e-9, 4.822e-9, 4.692e-9, 4.589e-9, 4.506e-9,
2549 4.467e-9, 4.44e-9, 4.466e-9, 4.515e-9, 4.718e-9, 4.729e-9,
2550 4.937e-9, 5.249e-9, 5.466e-9, 5.713e-9, 6.03e-9, 6.436e-9,
2551 6.741e-9, 7.33e-9, 7.787e-9, 8.414e-9, 8.908e-9, 9.868e-9,
2552 1.069e-8, 1.158e-8, 1.253e-8, 1.3e-8, 1.409e-8, 1.47e-8,
2553 1.548e-8, 1.612e-8, 1.666e-8, 1.736e-8, 1.763e-8, 1.812e-8,
2554 1.852e-8, 1.923e-8, 1.897e-8, 1.893e-8, 1.888e-8, 1.868e-8,
2555 1.895e-8, 1.899e-8, 1.876e-8, 1.96e-8, 2.02e-8, 2.121e-8,
2556 2.239e-8, 2.379e-8, 2.526e-8, 2.766e-8, 2.994e-8, 3.332e-8,
2557 3.703e-8, 4.158e-8, 4.774e-8, 5.499e-8, 6.355e-8, 7.349e-8,
2558 8.414e-8, 9.846e-8, 1.143e-7, 1.307e-7, 1.562e-7, 1.817e-7,
2559 2.011e-7, 2.192e-7, 2.485e-7, 2.867e-7, 3.035e-7, 3.223e-7,
2560 3.443e-7, 3.617e-7, 3.793e-7, 3.793e-7, 3.839e-7, 4.081e-7,
2561 4.117e-7, 4.085e-7, 3.92e-7, 3.851e-7, 3.754e-7, 3.49e-7,
2562 3.229e-7, 2.978e-7, 2.691e-7, 2.312e-7, 2.029e-7, 1.721e-7,
2563 1.472e-7, 1.308e-7, 1.132e-7, 9.736e-8, 8.458e-8, 7.402e-8,
2564 6.534e-8, 5.811e-8, 5.235e-8, 4.762e-8, 4.293e-8, 3.896e-8,
2565 3.526e-8, 3.165e-8, 2.833e-8, 2.551e-8, 2.288e-8, 2.036e-8,
2566 1.82e-8, 1.626e-8, 1.438e-8, 1.299e-8, 1.149e-8, 1.03e-8,
2567 9.148e-9, 8.122e-9, 7.264e-9, 6.425e-9, 5.777e-9, 5.06e-9,
2568 4.502e-9, 4.013e-9, 3.567e-9, 3.145e-9, 2.864e-9, 2.553e-9,
2569 2.311e-9, 2.087e-9, 1.886e-9, 1.716e-9, 1.556e-9, 1.432e-9,
2570 1.311e-9, 1.202e-9, 1.104e-9, 1.013e-9, 9.293e-10, 8.493e-10,
2571 7.79e-10, 7.185e-10, 6.642e-10, 6.141e-10, 5.684e-10, 5.346e-10,
2572 5.032e-10, 4.725e-10, 4.439e-10, 4.176e-10, 3.93e-10, 3.714e-10,
2573 3.515e-10, 3.332e-10, 3.167e-10, 3.02e-10, 2.887e-10, 2.769e-10,
2574 2.665e-10, 2.578e-10, 2.503e-10, 2.436e-10, 2.377e-10, 2.342e-10,
2575 2.305e-10, 2.296e-10, 2.278e-10, 2.321e-10, 2.355e-10, 2.402e-10,
2576 2.478e-10, 2.67e-10, 2.848e-10, 2.982e-10, 3.263e-10, 3.438e-10,
2577 3.649e-10, 3.829e-10, 4.115e-10, 4.264e-10, 4.473e-10, 4.63e-10,
2578 4.808e-10, 4.995e-10, 5.142e-10, 5.313e-10, 5.318e-10, 5.358e-10,
2579 5.452e-10, 5.507e-10, 5.698e-10, 5.782e-10, 5.983e-10, 6.164e-10,
2580 6.532e-10, 6.811e-10, 7.624e-10, 8.302e-10, 9.067e-10, 9.937e-10,
2581 1.104e-9, 1.221e-9, 1.361e-9, 1.516e-9, 1.675e-9, 1.883e-9,
2582 2.101e-9, 2.349e-9, 2.614e-9, 2.92e-9, 3.305e-9, 3.724e-9,
2583 4.142e-9, 4.887e-9, 5.614e-9, 6.506e-9, 7.463e-9, 8.817e-9,
2584 9.849e-9, 1.187e-8, 1.321e-8, 1.474e-8, 1.698e-8, 1.794e-8,
2585 2.09e-8, 2.211e-8, 2.362e-8, 2.556e-8, 2.729e-8, 2.88e-8,
2586 3.046e-8, 3.167e-8, 3.367e-8, 3.457e-8, 3.59e-8, 3.711e-8,
2587 3.826e-8, 4.001e-8, 4.211e-8, 4.315e-8, 4.661e-8, 5.01e-8,
2588 5.249e-8, 5.84e-8, 6.628e-8, 7.512e-8, 8.253e-8, 9.722e-8,
2589 1.067e-7, 1.153e-7, 1.347e-7, 1.428e-7, 1.577e-7, 1.694e-7,
2590 1.833e-7, 1.938e-7, 2.108e-7, 2.059e-7, 2.157e-7, 2.185e-7,
2591 2.208e-7, 2.182e-7, 2.093e-7, 2.014e-7, 1.962e-7, 1.819e-7,
2592 1.713e-7, 1.51e-7, 1.34e-7, 1.154e-7, 9.89e-8, 8.88e-8, 7.673e-8,
2593 6.599e-8, 5.73e-8, 5.081e-8, 4.567e-8, 4.147e-8, 3.773e-8,
2594 3.46e-8, 3.194e-8, 2.953e-8, 2.759e-8, 2.594e-8, 2.442e-8,
2595 2.355e-8, 2.283e-8, 2.279e-8, 2.231e-8, 2.279e-8, 2.239e-8,
2596 2.21e-8, 2.309e-8, 2.293e-8, 2.352e-8, 2.415e-8, 2.43e-8,
2597 2.426e-8, 2.465e-8, 2.5e-8, 2.496e-8, 2.465e-8, 2.445e-8,
2598 2.383e-8, 2.299e-8, 2.165e-8, 2.113e-8, 1.968e-8, 1.819e-8,
2599 1.644e-8, 1.427e-8, 1.27e-8, 1.082e-8, 9.428e-9, 8.091e-9,
2600 6.958e-9, 5.988e-9, 5.246e-9, 4.601e-9, 4.098e-9, 3.664e-9,
2601 3.287e-9, 2.942e-9, 2.656e-9, 2.364e-9, 2.118e-9, 1.903e-9,
2602 1.703e-9, 1.525e-9, 1.365e-9, 1.229e-9, 1.107e-9, 9.96e-10,
2603 8.945e-10, 8.08e-10, 7.308e-10, 6.616e-10, 5.994e-10, 5.422e-10,
2604 4.929e-10, 4.478e-10, 4.07e-10, 3.707e-10, 3.379e-10, 3.087e-10,
2605 2.823e-10, 2.592e-10, 2.385e-10, 2.201e-10, 2.038e-10, 1.897e-10,
2606 1.774e-10, 1.667e-10, 1.577e-10, 1.502e-10, 1.437e-10, 1.394e-10,
2607 1.358e-10, 1.324e-10, 1.329e-10, 1.324e-10, 1.36e-10, 1.39e-10,
2608 1.424e-10, 1.544e-10, 1.651e-10, 1.817e-10, 1.984e-10, 2.195e-10,
2609 2.438e-10, 2.7e-10, 2.991e-10, 3.322e-10, 3.632e-10, 3.957e-10,
2610 4.36e-10, 4.701e-10, 5.03e-10, 5.381e-10, 5.793e-10, 6.19e-10,
2611 6.596e-10, 7.004e-10, 7.561e-10, 7.934e-10, 8.552e-10, 9.142e-10,
2612 9.57e-10, 1.027e-9, 1.097e-9, 1.193e-9, 1.334e-9, 1.47e-9,
2613 1.636e-9, 1.871e-9, 2.122e-9, 2.519e-9, 2.806e-9, 3.203e-9,
2614 3.846e-9, 4.362e-9, 5.114e-9, 5.643e-9, 6.305e-9, 6.981e-9,
2615 7.983e-9, 8.783e-9, 9.419e-9, 1.017e-8, 1.063e-8, 1.121e-8,
2616 1.13e-8, 1.201e-8, 1.225e-8, 1.232e-8, 1.223e-8, 1.177e-8,
2617 1.151e-8, 1.116e-8, 1.047e-8, 9.698e-9, 8.734e-9, 8.202e-9,
2618 7.041e-9, 6.074e-9, 5.172e-9, 4.468e-9, 3.913e-9, 3.414e-9,
2619 2.975e-9, 2.65e-9, 2.406e-9, 2.173e-9, 2.009e-9, 1.861e-9,
2620 1.727e-9, 1.612e-9, 1.514e-9, 1.43e-9, 1.362e-9, 1.333e-9,
2621 1.288e-9, 1.249e-9, 1.238e-9, 1.228e-9, 1.217e-9, 1.202e-9,
2622 1.209e-9, 1.177e-9, 1.157e-9, 1.165e-9, 1.142e-9, 1.131e-9,
2623 1.138e-9, 1.117e-9, 1.1e-9, 1.069e-9, 1.023e-9, 1.005e-9,
2624 9.159e-10, 8.863e-10, 7.865e-10, 7.153e-10, 6.247e-10, 5.846e-10,
2625 5.133e-10, 4.36e-10, 3.789e-10, 3.335e-10, 2.833e-10, 2.483e-10,
2626 2.155e-10, 1.918e-10, 1.709e-10, 1.529e-10, 1.374e-10, 1.235e-10,
2627 1.108e-10, 9.933e-11, 8.932e-11, 8.022e-11, 7.224e-11, 6.52e-11,
2628 5.896e-11, 5.328e-11, 4.813e-11, 4.365e-11, 3.961e-11, 3.594e-11,
2629 3.266e-11, 2.967e-11, 2.701e-11, 2.464e-11, 2.248e-11, 2.054e-11,
2630 1.878e-11, 1.721e-11, 1.579e-11, 1.453e-11, 1.341e-11, 1.241e-11,
2631 1.154e-11, 1.078e-11, 1.014e-11, 9.601e-12, 9.167e-12, 8.838e-12,
2632 8.614e-12, 8.493e-12, 8.481e-12, 8.581e-12, 8.795e-12, 9.131e-12,
2633 9.601e-12, 1.021e-11, 1.097e-11, 1.191e-11, 1.303e-11, 1.439e-11,
2634 1.601e-11, 1.778e-11, 1.984e-11, 2.234e-11, 2.474e-11, 2.766e-11,
2635 3.085e-11, 3.415e-11, 3.821e-11, 4.261e-11, 4.748e-11, 5.323e-11,
2636 5.935e-11, 6.619e-11, 7.418e-11, 8.294e-11, 9.26e-11, 1.039e-10,
2637 1.156e-10, 1.297e-10, 1.46e-10, 1.641e-10, 1.858e-10, 2.1e-10,
2638 2.383e-10, 2.724e-10, 3.116e-10, 3.538e-10, 4.173e-10, 4.727e-10,
2639 5.503e-10, 6.337e-10, 7.32e-10, 8.298e-10, 9.328e-10, 1.059e-9,
2640 1.176e-9, 1.328e-9, 1.445e-9, 1.593e-9, 1.77e-9, 1.954e-9,
2641 2.175e-9, 2.405e-9, 2.622e-9, 2.906e-9, 3.294e-9, 3.713e-9,
2642 3.98e-9, 4.384e-9, 4.987e-9, 5.311e-9, 5.874e-9, 6.337e-9,
2643 7.027e-9, 7.39e-9, 7.769e-9, 8.374e-9, 8.605e-9, 9.165e-9,
2644 9.415e-9, 9.511e-9, 9.704e-9, 9.588e-9, 9.45e-9, 9.086e-9,
2645 8.798e-9, 8.469e-9, 7.697e-9, 7.168e-9, 6.255e-9, 5.772e-9,
2646 4.97e-9, 4.271e-9, 3.653e-9, 3.154e-9, 2.742e-9, 2.435e-9,
2647 2.166e-9, 1.936e-9, 1.731e-9, 1.556e-9, 1.399e-9, 1.272e-9,
2648 1.157e-9, 1.066e-9, 9.844e-10, 9.258e-10, 8.787e-10, 8.421e-10,
2649 8.083e-10, 8.046e-10, 8.067e-10, 8.181e-10, 8.325e-10, 8.517e-10,
2650 9.151e-10, 9.351e-10, 9.677e-10, 1.071e-9, 1.126e-9, 1.219e-9,
2651 1.297e-9, 1.408e-9, 1.476e-9, 1.517e-9, 1.6e-9, 1.649e-9,
2652 1.678e-9, 1.746e-9, 1.742e-9, 1.728e-9, 1.699e-9, 1.655e-9,
2653 1.561e-9, 1.48e-9, 1.451e-9, 1.411e-9, 1.171e-9, 1.106e-9,
2654 9.714e-10, 8.523e-10, 7.346e-10, 6.241e-10, 5.371e-10, 4.704e-10,
2655 4.144e-10, 3.683e-10, 3.292e-10, 2.942e-10, 2.62e-10, 2.341e-10,
2656 2.104e-10, 1.884e-10, 1.7e-10, 1.546e-10, 1.394e-10, 1.265e-10,
2657 1.14e-10, 1.019e-10, 9.279e-11, 8.283e-11, 7.458e-11, 6.668e-11,
2658 5.976e-11, 5.33e-11, 4.794e-11, 4.289e-11, 3.841e-11, 3.467e-11,
2659 3.13e-11, 2.832e-11, 2.582e-11, 2.356e-11, 2.152e-11, 1.97e-11,
2660 1.808e-11, 1.664e-11, 1.539e-11, 1.434e-11, 1.344e-11, 1.269e-11,
2661 1.209e-11, 1.162e-11, 1.129e-11, 1.108e-11, 1.099e-11, 1.103e-11,
2662 1.119e-11, 1.148e-11, 1.193e-11, 1.252e-11, 1.329e-11, 1.421e-11,
2663 1.555e-11, 1.685e-11, 1.839e-11, 2.054e-11, 2.317e-11, 2.571e-11,
2664 2.839e-11, 3.171e-11, 3.49e-11, 3.886e-11, 4.287e-11, 4.645e-11,
2665 5.047e-11, 5.592e-11, 6.109e-11, 6.628e-11, 7.381e-11, 8.088e-11,
2666 8.966e-11, 1.045e-10, 1.12e-10, 1.287e-10, 1.486e-10, 1.662e-10,
2667 1.866e-10, 2.133e-10, 2.524e-10, 2.776e-10, 3.204e-10, 3.559e-10,
2668 4.028e-10, 4.448e-10, 4.882e-10, 5.244e-10, 5.605e-10, 6.018e-10,
2669 6.328e-10, 6.579e-10, 6.541e-10, 7.024e-10, 7.074e-10, 7.068e-10,
2670 7.009e-10, 6.698e-10, 6.545e-10, 6.209e-10, 5.834e-10, 5.412e-10,
2671 5.001e-10, 4.231e-10, 3.727e-10, 3.211e-10, 2.833e-10, 2.447e-10,
2672 2.097e-10, 1.843e-10, 1.639e-10, 1.449e-10, 1.27e-10, 1.161e-10,
2673 1.033e-10, 9.282e-11, 8.407e-11, 7.639e-11, 7.023e-11, 6.474e-11,
2674 6.142e-11, 5.76e-11, 5.568e-11, 5.472e-11, 5.39e-11, 5.455e-11,
2675 5.54e-11, 5.587e-11, 6.23e-11, 6.49e-11, 6.868e-11, 7.382e-11,
2676 8.022e-11, 8.372e-11, 9.243e-11, 1.004e-10, 1.062e-10, 1.13e-10,
2677 1.176e-10, 1.244e-10, 1.279e-10, 1.298e-10, 1.302e-10, 1.312e-10,
2678 1.295e-10, 1.244e-10, 1.211e-10, 1.167e-10, 1.098e-10, 9.927e-11,
2679 8.854e-11, 8.011e-11, 7.182e-11, 5.923e-11, 5.212e-11, 4.453e-11,
2680 3.832e-11, 3.371e-11, 2.987e-11, 2.651e-11, 2.354e-11, 2.093e-11,
2681 1.863e-11, 1.662e-11, 1.486e-11, 1.331e-11, 1.193e-11, 1.071e-11,
2682 9.628e-12, 8.66e-12, 7.801e-12, 7.031e-12, 6.347e-12, 5.733e-12,
2683 5.182e-12, 4.695e-12, 4.26e-12, 3.874e-12, 3.533e-12, 3.235e-12,
2684 2.979e-12, 2.76e-12, 2.579e-12, 2.432e-12, 2.321e-12, 2.246e-12,
2685 2.205e-12, 2.196e-12, 2.223e-12, 2.288e-12, 2.387e-12, 2.525e-12,
2686 2.704e-12, 2.925e-12, 3.191e-12, 3.508e-12, 3.876e-12, 4.303e-12,
2687 4.793e-12, 5.347e-12, 5.978e-12, 6.682e-12, 7.467e-12, 8.34e-12,
2688 9.293e-12, 1.035e-11, 1.152e-11, 1.285e-11, 1.428e-11, 1.586e-11,
2689 1.764e-11, 1.972e-11, 2.214e-11, 2.478e-11, 2.776e-11, 3.151e-11,
2690 3.591e-11, 4.103e-11, 4.66e-11, 5.395e-11, 6.306e-11, 7.172e-11,
2691 8.358e-11, 9.67e-11, 1.11e-10, 1.325e-10, 1.494e-10, 1.736e-10,
2692 2.007e-10, 2.296e-10, 2.608e-10, 3.004e-10, 3.361e-10, 3.727e-10,
2693 4.373e-10, 4.838e-10, 5.483e-10, 6.006e-10, 6.535e-10, 6.899e-10,
2694 7.687e-10, 8.444e-10, 8.798e-10, 9.135e-10, 9.532e-10, 9.757e-10,
2695 9.968e-10, 1.006e-9, 9.949e-10, 9.789e-10, 9.564e-10, 9.215e-10,
2696 8.51e-10, 8.394e-10, 7.707e-10, 7.152e-10, 6.274e-10, 5.598e-10,
2697 5.028e-10, 4.3e-10, 3.71e-10, 3.245e-10, 2.809e-10, 2.461e-10,
2698 2.154e-10, 1.91e-10, 1.685e-10, 1.487e-10, 1.313e-10, 1.163e-10,
2699 1.031e-10, 9.172e-11, 8.221e-11, 7.382e-11, 6.693e-11, 6.079e-11,
2700 5.581e-11, 5.167e-11, 4.811e-11, 4.506e-11, 4.255e-11, 4.083e-11,
2701 3.949e-11, 3.881e-11, 3.861e-11, 3.858e-11, 3.951e-11, 4.045e-11,
2702 4.24e-11, 4.487e-11, 4.806e-11, 5.133e-11, 5.518e-11, 5.919e-11,
2703 6.533e-11, 7.031e-11, 7.762e-11, 8.305e-11, 9.252e-11, 9.727e-11,
2704 1.045e-10, 1.117e-10, 1.2e-10, 1.275e-10, 1.341e-10, 1.362e-10,
2705 1.438e-10, 1.45e-10, 1.455e-10, 1.455e-10, 1.434e-10, 1.381e-10,
2706 1.301e-10, 1.276e-10, 1.163e-10, 1.089e-10, 9.911e-11, 8.943e-11,
2707 7.618e-11, 6.424e-11, 5.717e-11, 4.866e-11, 4.257e-11, 3.773e-11,
2708 3.331e-11, 2.958e-11, 2.629e-11, 2.316e-11, 2.073e-11, 1.841e-11,
2709 1.635e-11, 1.464e-11, 1.31e-11, 1.16e-11, 1.047e-11, 9.408e-12,
2710 8.414e-12, 7.521e-12, 6.705e-12, 5.993e-12, 5.371e-12, 4.815e-12,
2711 4.338e-12, 3.921e-12, 3.567e-12, 3.265e-12, 3.01e-12, 2.795e-12,
2712 2.613e-12, 2.464e-12, 2.346e-12, 2.256e-12, 2.195e-12, 2.165e-12,
2713 2.166e-12, 2.198e-12, 2.262e-12, 2.364e-12, 2.502e-12, 2.682e-12,
2714 2.908e-12, 3.187e-12, 3.533e-12, 3.946e-12, 4.418e-12, 5.013e-12,
2715 5.708e-12, 6.379e-12, 7.43e-12, 8.39e-12, 9.51e-12, 1.078e-11,
2716 1.259e-11, 1.438e-11, 1.63e-11, 1.814e-11, 2.055e-11, 2.348e-11,
2717 2.664e-11, 2.956e-11, 3.3e-11, 3.677e-11, 4.032e-11, 4.494e-11,
2718 4.951e-11, 5.452e-11, 6.014e-11, 6.5e-11, 6.915e-11, 7.45e-11,
2719 7.971e-11, 8.468e-11, 8.726e-11, 8.995e-11, 9.182e-11, 9.509e-11,
2720 9.333e-11, 9.386e-11, 9.457e-11, 9.21e-11, 9.019e-11, 8.68e-11,
2721 8.298e-11, 7.947e-11, 7.46e-11, 7.082e-11, 6.132e-11, 5.855e-11,
2722 5.073e-11, 4.464e-11, 3.825e-11, 3.375e-11, 2.911e-11, 2.535e-11,
2723 2.16e-11, 1.907e-11, 1.665e-11, 1.463e-11, 1.291e-11, 1.133e-11,
2724 9.997e-12, 8.836e-12, 7.839e-12, 6.943e-12, 6.254e-12, 5.6e-12,
2725 5.029e-12, 4.529e-12, 4.102e-12, 3.737e-12, 3.428e-12, 3.169e-12,
2726 2.959e-12, 2.798e-12, 2.675e-12, 2.582e-12, 2.644e-12, 2.557e-12,
2727 2.614e-12, 2.717e-12, 2.874e-12, 3.056e-12, 3.187e-12, 3.631e-12,
2728 3.979e-12, 4.248e-12, 4.817e-12, 5.266e-12, 5.836e-12, 6.365e-12,
2729 6.807e-12, 7.47e-12, 7.951e-12, 8.636e-12, 8.972e-12, 9.314e-12,
2730 9.445e-12, 1.003e-11, 1.013e-11, 9.937e-12, 9.729e-12, 9.064e-12,
2731 9.119e-12, 9.124e-12, 8.704e-12, 8.078e-12, 7.47e-12, 6.329e-12,
2732 5.674e-12, 4.808e-12, 4.119e-12, 3.554e-12, 3.103e-12, 2.731e-12,
2733 2.415e-12, 2.15e-12, 1.926e-12, 1.737e-12, 1.578e-12, 1.447e-12,
2734 1.34e-12, 1.255e-12, 1.191e-12, 1.146e-12, 1.121e-12, 1.114e-12,
2735 1.126e-12, 1.156e-12, 1.207e-12, 1.278e-12, 1.372e-12, 1.49e-12,
2736 1.633e-12, 1.805e-12, 2.01e-12, 2.249e-12, 2.528e-12, 2.852e-12,
2737 3.228e-12, 3.658e-12, 4.153e-12, 4.728e-12, 5.394e-12, 6.176e-12,
2738 7.126e-12, 8.188e-12, 9.328e-12, 1.103e-11, 1.276e-11, 1.417e-11,
2739 1.615e-11, 1.84e-11, 2.155e-11, 2.429e-11, 2.826e-11, 3.222e-11,
2740 3.664e-11, 4.14e-11, 4.906e-11, 5.536e-11, 6.327e-11, 7.088e-11,
2741 8.316e-11, 9.242e-11, 1.07e-10, 1.223e-10, 1.341e-10, 1.553e-10,
2742 1.703e-10, 1.9e-10, 2.022e-10, 2.233e-10, 2.345e-10, 2.438e-10,
2743 2.546e-10, 2.599e-10, 2.661e-10, 2.703e-10, 2.686e-10, 2.662e-10,
2744 2.56e-10, 2.552e-10, 2.378e-10, 2.252e-10, 2.146e-10, 1.885e-10,
2745 1.668e-10, 1.441e-10, 1.295e-10, 1.119e-10, 9.893e-11, 8.687e-11,
2746 7.678e-11, 6.685e-11, 5.879e-11, 5.127e-11, 4.505e-11, 3.997e-11,
2747 3.511e-11
2748 };
2749
2750 static const double h2ofrn[2001] = { .01095, .01126, .01205, .01322, .0143,
2751 .01506, .01548, .01534, .01486, .01373, .01262, .01134, .01001,
2752 .008702, .007475, .006481, .00548, .0046, .003833, .00311,
2753 .002543, .002049, .00168, .001374, .001046, 8.193e-4, 6.267e-4,
2754 4.968e-4, 3.924e-4, 2.983e-4, 2.477e-4, 1.997e-4, 1.596e-4,
2755 1.331e-4, 1.061e-4, 8.942e-5, 7.168e-5, 5.887e-5, 4.848e-5,
2756 3.817e-5, 3.17e-5, 2.579e-5, 2.162e-5, 1.768e-5, 1.49e-5,
2757 1.231e-5, 1.013e-5, 8.555e-6, 7.328e-6, 6.148e-6, 5.207e-6,
2758 4.387e-6, 3.741e-6, 3.22e-6, 2.753e-6, 2.346e-6, 1.985e-6,
2759 1.716e-6, 1.475e-6, 1.286e-6, 1.122e-6, 9.661e-7, 8.284e-7,
2760 7.057e-7, 6.119e-7, 5.29e-7, 4.571e-7, 3.948e-7, 3.432e-7,
2761 2.983e-7, 2.589e-7, 2.265e-7, 1.976e-7, 1.704e-7, 1.456e-7,
2762 1.26e-7, 1.101e-7, 9.648e-8, 8.415e-8, 7.34e-8, 6.441e-8,
2763 5.643e-8, 4.94e-8, 4.276e-8, 3.703e-8, 3.227e-8, 2.825e-8,
2764 2.478e-8, 2.174e-8, 1.898e-8, 1.664e-8, 1.458e-8, 1.278e-8,
2765 1.126e-8, 9.891e-9, 8.709e-9, 7.652e-9, 6.759e-9, 5.975e-9,
2766 5.31e-9, 4.728e-9, 4.214e-9, 3.792e-9, 3.463e-9, 3.226e-9,
2767 2.992e-9, 2.813e-9, 2.749e-9, 2.809e-9, 2.913e-9, 3.037e-9,
2768 3.413e-9, 3.738e-9, 4.189e-9, 4.808e-9, 5.978e-9, 7.088e-9,
2769 8.071e-9, 9.61e-9, 1.21e-8, 1.5e-8, 1.764e-8, 2.221e-8, 2.898e-8,
2770 3.948e-8, 5.068e-8, 6.227e-8, 7.898e-8, 1.033e-7, 1.437e-7,
2771 1.889e-7, 2.589e-7, 3.59e-7, 4.971e-7, 7.156e-7, 9.983e-7,
2772 1.381e-6, 1.929e-6, 2.591e-6, 3.453e-6, 4.57e-6, 5.93e-6,
2773 7.552e-6, 9.556e-6, 1.183e-5, 1.425e-5, 1.681e-5, 1.978e-5,
2774 2.335e-5, 2.668e-5, 3.022e-5, 3.371e-5, 3.715e-5, 3.967e-5,
2775 4.06e-5, 4.01e-5, 3.809e-5, 3.491e-5, 3.155e-5, 2.848e-5,
2776 2.678e-5, 2.66e-5, 2.811e-5, 3.071e-5, 3.294e-5, 3.459e-5,
2777 3.569e-5, 3.56e-5, 3.434e-5, 3.186e-5, 2.916e-5, 2.622e-5,
2778 2.275e-5, 1.918e-5, 1.62e-5, 1.373e-5, 1.182e-5, 1.006e-5,
2779 8.556e-6, 7.26e-6, 6.107e-6, 5.034e-6, 4.211e-6, 3.426e-6,
2780 2.865e-6, 2.446e-6, 1.998e-6, 1.628e-6, 1.242e-6, 1.005e-6,
2781 7.853e-7, 6.21e-7, 5.071e-7, 4.156e-7, 3.548e-7, 2.825e-7,
2782 2.261e-7, 1.916e-7, 1.51e-7, 1.279e-7, 1.059e-7, 9.14e-8,
2783 7.707e-8, 6.17e-8, 5.311e-8, 4.263e-8, 3.518e-8, 2.961e-8,
2784 2.457e-8, 2.119e-8, 1.712e-8, 1.439e-8, 1.201e-8, 1.003e-8,
2785 8.564e-9, 7.199e-9, 6.184e-9, 5.206e-9, 4.376e-9, 3.708e-9,
2786 3.157e-9, 2.725e-9, 2.361e-9, 2.074e-9, 1.797e-9, 1.562e-9,
2787 1.364e-9, 1.196e-9, 1.042e-9, 8.862e-10, 7.648e-10, 6.544e-10,
2788 5.609e-10, 4.791e-10, 4.108e-10, 3.531e-10, 3.038e-10, 2.618e-10,
2789 2.268e-10, 1.969e-10, 1.715e-10, 1.496e-10, 1.308e-10, 1.147e-10,
2790 1.008e-10, 8.894e-11, 7.885e-11, 7.031e-11, 6.355e-11, 5.854e-11,
2791 5.534e-11, 5.466e-11, 5.725e-11, 6.447e-11, 7.943e-11, 1.038e-10,
2792 1.437e-10, 2.04e-10, 2.901e-10, 4.051e-10, 5.556e-10, 7.314e-10,
2793 9.291e-10, 1.134e-9, 1.321e-9, 1.482e-9, 1.596e-9, 1.669e-9,
2794 1.715e-9, 1.762e-9, 1.817e-9, 1.828e-9, 1.848e-9, 1.873e-9,
2795 1.902e-9, 1.894e-9, 1.864e-9, 1.841e-9, 1.797e-9, 1.704e-9,
2796 1.559e-9, 1.382e-9, 1.187e-9, 1.001e-9, 8.468e-10, 7.265e-10,
2797 6.521e-10, 6.381e-10, 6.66e-10, 7.637e-10, 9.705e-10, 1.368e-9,
2798 1.856e-9, 2.656e-9, 3.954e-9, 5.96e-9, 8.72e-9, 1.247e-8,
2799 1.781e-8, 2.491e-8, 3.311e-8, 4.272e-8, 5.205e-8, 6.268e-8,
2800 7.337e-8, 8.277e-8, 9.185e-8, 1.004e-7, 1.091e-7, 1.159e-7,
2801 1.188e-7, 1.175e-7, 1.124e-7, 1.033e-7, 9.381e-8, 8.501e-8,
2802 7.956e-8, 7.894e-8, 8.331e-8, 9.102e-8, 9.836e-8, 1.035e-7,
2803 1.064e-7, 1.06e-7, 1.032e-7, 9.808e-8, 9.139e-8, 8.442e-8,
2804 7.641e-8, 6.881e-8, 6.161e-8, 5.404e-8, 4.804e-8, 4.446e-8,
2805 4.328e-8, 4.259e-8, 4.421e-8, 4.673e-8, 4.985e-8, 5.335e-8,
2806 5.796e-8, 6.542e-8, 7.714e-8, 8.827e-8, 1.04e-7, 1.238e-7,
2807 1.499e-7, 1.829e-7, 2.222e-7, 2.689e-7, 3.303e-7, 3.981e-7,
2808 4.84e-7, 5.91e-7, 7.363e-7, 9.087e-7, 1.139e-6, 1.455e-6,
2809 1.866e-6, 2.44e-6, 3.115e-6, 3.941e-6, 4.891e-6, 5.992e-6,
2810 7.111e-6, 8.296e-6, 9.21e-6, 9.987e-6, 1.044e-5, 1.073e-5,
2811 1.092e-5, 1.106e-5, 1.138e-5, 1.171e-5, 1.186e-5, 1.186e-5,
2812 1.179e-5, 1.166e-5, 1.151e-5, 1.16e-5, 1.197e-5, 1.241e-5,
2813 1.268e-5, 1.26e-5, 1.184e-5, 1.063e-5, 9.204e-6, 7.584e-6,
2814 6.053e-6, 4.482e-6, 3.252e-6, 2.337e-6, 1.662e-6, 1.18e-6,
2815 8.15e-7, 5.95e-7, 4.354e-7, 3.302e-7, 2.494e-7, 1.93e-7,
2816 1.545e-7, 1.25e-7, 1.039e-7, 8.602e-8, 7.127e-8, 5.897e-8,
2817 4.838e-8, 4.018e-8, 3.28e-8, 2.72e-8, 2.307e-8, 1.972e-8,
2818 1.654e-8, 1.421e-8, 1.174e-8, 1.004e-8, 8.739e-9, 7.358e-9,
2819 6.242e-9, 5.303e-9, 4.567e-9, 3.94e-9, 3.375e-9, 2.864e-9,
2820 2.422e-9, 2.057e-9, 1.75e-9, 1.505e-9, 1.294e-9, 1.101e-9,
2821 9.401e-10, 8.018e-10, 6.903e-10, 5.965e-10, 5.087e-10, 4.364e-10,
2822 3.759e-10, 3.247e-10, 2.809e-10, 2.438e-10, 2.123e-10, 1.853e-10,
2823 1.622e-10, 1.426e-10, 1.26e-10, 1.125e-10, 1.022e-10, 9.582e-11,
2824 9.388e-11, 9.801e-11, 1.08e-10, 1.276e-10, 1.551e-10, 1.903e-10,
2825 2.291e-10, 2.724e-10, 3.117e-10, 3.4e-10, 3.562e-10, 3.625e-10,
2826 3.619e-10, 3.429e-10, 3.221e-10, 2.943e-10, 2.645e-10, 2.338e-10,
2827 2.062e-10, 1.901e-10, 1.814e-10, 1.827e-10, 1.906e-10, 1.984e-10,
2828 2.04e-10, 2.068e-10, 2.075e-10, 2.018e-10, 1.959e-10, 1.897e-10,
2829 1.852e-10, 1.791e-10, 1.696e-10, 1.634e-10, 1.598e-10, 1.561e-10,
2830 1.518e-10, 1.443e-10, 1.377e-10, 1.346e-10, 1.342e-10, 1.375e-10,
2831 1.525e-10, 1.767e-10, 2.108e-10, 2.524e-10, 2.981e-10, 3.477e-10,
2832 4.262e-10, 5.326e-10, 6.646e-10, 8.321e-10, 1.069e-9, 1.386e-9,
2833 1.743e-9, 2.216e-9, 2.808e-9, 3.585e-9, 4.552e-9, 5.907e-9,
2834 7.611e-9, 9.774e-9, 1.255e-8, 1.666e-8, 2.279e-8, 3.221e-8,
2835 4.531e-8, 6.4e-8, 9.187e-8, 1.295e-7, 1.825e-7, 2.431e-7,
2836 3.181e-7, 4.009e-7, 4.941e-7, 5.88e-7, 6.623e-7, 7.155e-7,
2837 7.451e-7, 7.594e-7, 7.541e-7, 7.467e-7, 7.527e-7, 7.935e-7,
2838 8.461e-7, 8.954e-7, 9.364e-7, 9.843e-7, 1.024e-6, 1.05e-6,
2839 1.059e-6, 1.074e-6, 1.072e-6, 1.043e-6, 9.789e-7, 8.803e-7,
2840 7.662e-7, 6.378e-7, 5.133e-7, 3.958e-7, 2.914e-7, 2.144e-7,
2841 1.57e-7, 1.14e-7, 8.47e-8, 6.2e-8, 4.657e-8, 3.559e-8, 2.813e-8,
2842 2.222e-8, 1.769e-8, 1.391e-8, 1.125e-8, 9.186e-9, 7.704e-9,
2843 6.447e-9, 5.381e-9, 4.442e-9, 3.669e-9, 3.057e-9, 2.564e-9,
2844 2.153e-9, 1.784e-9, 1.499e-9, 1.281e-9, 1.082e-9, 9.304e-10,
2845 8.169e-10, 6.856e-10, 5.866e-10, 5.043e-10, 4.336e-10, 3.731e-10,
2846 3.175e-10, 2.745e-10, 2.374e-10, 2.007e-10, 1.737e-10, 1.508e-10,
2847 1.302e-10, 1.13e-10, 9.672e-11, 8.375e-11, 7.265e-11, 6.244e-11,
2848 5.343e-11, 4.654e-11, 3.975e-11, 3.488e-11, 3.097e-11, 2.834e-11,
2849 2.649e-11, 2.519e-11, 2.462e-11, 2.443e-11, 2.44e-11, 2.398e-11,
2850 2.306e-11, 2.183e-11, 2.021e-11, 1.821e-11, 1.599e-11, 1.403e-11,
2851 1.196e-11, 1.023e-11, 8.728e-12, 7.606e-12, 6.941e-12, 6.545e-12,
2852 6.484e-12, 6.6e-12, 6.718e-12, 6.785e-12, 6.746e-12, 6.724e-12,
2853 6.764e-12, 6.995e-12, 7.144e-12, 7.32e-12, 7.33e-12, 7.208e-12,
2854 6.789e-12, 6.09e-12, 5.337e-12, 4.62e-12, 4.037e-12, 3.574e-12,
2855 3.311e-12, 3.346e-12, 3.566e-12, 3.836e-12, 4.076e-12, 4.351e-12,
2856 4.691e-12, 5.114e-12, 5.427e-12, 6.167e-12, 7.436e-12, 8.842e-12,
2857 1.038e-11, 1.249e-11, 1.54e-11, 1.915e-11, 2.48e-11, 3.256e-11,
2858 4.339e-11, 5.611e-11, 7.519e-11, 1.037e-10, 1.409e-10, 1.883e-10,
2859 2.503e-10, 3.38e-10, 4.468e-10, 5.801e-10, 7.335e-10, 8.98e-10,
2860 1.11e-9, 1.363e-9, 1.677e-9, 2.104e-9, 2.681e-9, 3.531e-9,
2861 4.621e-9, 6.106e-9, 8.154e-9, 1.046e-8, 1.312e-8, 1.607e-8,
2862 1.948e-8, 2.266e-8, 2.495e-8, 2.655e-8, 2.739e-8, 2.739e-8,
2863 2.662e-8, 2.589e-8, 2.59e-8, 2.664e-8, 2.833e-8, 3.023e-8,
2864 3.305e-8, 3.558e-8, 3.793e-8, 3.961e-8, 4.056e-8, 4.102e-8,
2865 4.025e-8, 3.917e-8, 3.706e-8, 3.493e-8, 3.249e-8, 3.096e-8,
2866 3.011e-8, 3.111e-8, 3.395e-8, 3.958e-8, 4.875e-8, 6.066e-8,
2867 7.915e-8, 1.011e-7, 1.3e-7, 1.622e-7, 2.003e-7, 2.448e-7,
2868 2.863e-7, 3.317e-7, 3.655e-7, 3.96e-7, 4.098e-7, 4.168e-7,
2869 4.198e-7, 4.207e-7, 4.289e-7, 4.384e-7, 4.471e-7, 4.524e-7,
2870 4.574e-7, 4.633e-7, 4.785e-7, 5.028e-7, 5.371e-7, 5.727e-7,
2871 5.955e-7, 5.998e-7, 5.669e-7, 5.082e-7, 4.397e-7, 3.596e-7,
2872 2.814e-7, 2.074e-7, 1.486e-7, 1.057e-7, 7.25e-8, 4.946e-8,
2873 3.43e-8, 2.447e-8, 1.793e-8, 1.375e-8, 1.096e-8, 9.091e-9,
2874 7.709e-9, 6.631e-9, 5.714e-9, 4.886e-9, 4.205e-9, 3.575e-9,
2875 3.07e-9, 2.631e-9, 2.284e-9, 2.002e-9, 1.745e-9, 1.509e-9,
2876 1.284e-9, 1.084e-9, 9.163e-10, 7.663e-10, 6.346e-10, 5.283e-10,
2877 4.354e-10, 3.59e-10, 2.982e-10, 2.455e-10, 2.033e-10, 1.696e-10,
2878 1.432e-10, 1.211e-10, 1.02e-10, 8.702e-11, 7.38e-11, 6.293e-11,
2879 5.343e-11, 4.532e-11, 3.907e-11, 3.365e-11, 2.945e-11, 2.558e-11,
2880 2.192e-11, 1.895e-11, 1.636e-11, 1.42e-11, 1.228e-11, 1.063e-11,
2881 9.348e-12, 8.2e-12, 7.231e-12, 6.43e-12, 5.702e-12, 5.052e-12,
2882 4.469e-12, 4e-12, 3.679e-12, 3.387e-12, 3.197e-12, 3.158e-12,
2883 3.327e-12, 3.675e-12, 4.292e-12, 5.437e-12, 7.197e-12, 1.008e-11,
2884 1.437e-11, 2.035e-11, 2.905e-11, 4.062e-11, 5.528e-11, 7.177e-11,
2885 9.064e-11, 1.109e-10, 1.297e-10, 1.473e-10, 1.652e-10, 1.851e-10,
2886 2.079e-10, 2.313e-10, 2.619e-10, 2.958e-10, 3.352e-10, 3.796e-10,
2887 4.295e-10, 4.923e-10, 5.49e-10, 5.998e-10, 6.388e-10, 6.645e-10,
2888 6.712e-10, 6.549e-10, 6.38e-10, 6.255e-10, 6.253e-10, 6.459e-10,
2889 6.977e-10, 7.59e-10, 8.242e-10, 8.92e-10, 9.403e-10, 9.701e-10,
2890 9.483e-10, 9.135e-10, 8.617e-10, 7.921e-10, 7.168e-10, 6.382e-10,
2891 5.677e-10, 5.045e-10, 4.572e-10, 4.312e-10, 4.145e-10, 4.192e-10,
2892 4.541e-10, 5.368e-10, 6.771e-10, 8.962e-10, 1.21e-9, 1.659e-9,
2893 2.33e-9, 3.249e-9, 4.495e-9, 5.923e-9, 7.642e-9, 9.607e-9,
2894 1.178e-8, 1.399e-8, 1.584e-8, 1.73e-8, 1.816e-8, 1.87e-8,
2895 1.868e-8, 1.87e-8, 1.884e-8, 1.99e-8, 2.15e-8, 2.258e-8,
2896 2.364e-8, 2.473e-8, 2.602e-8, 2.689e-8, 2.731e-8, 2.816e-8,
2897 2.859e-8, 2.839e-8, 2.703e-8, 2.451e-8, 2.149e-8, 1.787e-8,
2898 1.449e-8, 1.111e-8, 8.282e-9, 6.121e-9, 4.494e-9, 3.367e-9,
2899 2.487e-9, 1.885e-9, 1.503e-9, 1.249e-9, 1.074e-9, 9.427e-10,
2900 8.439e-10, 7.563e-10, 6.772e-10, 6.002e-10, 5.254e-10, 4.588e-10,
2901 3.977e-10, 3.449e-10, 3.003e-10, 2.624e-10, 2.335e-10, 2.04e-10,
2902 1.771e-10, 1.534e-10, 1.296e-10, 1.097e-10, 9.173e-11, 7.73e-11,
2903 6.547e-11, 5.191e-11, 4.198e-11, 3.361e-11, 2.732e-11, 2.244e-11,
2904 1.791e-11, 1.509e-11, 1.243e-11, 1.035e-11, 8.969e-12, 7.394e-12,
2905 6.323e-12, 5.282e-12, 4.543e-12, 3.752e-12, 3.14e-12, 2.6e-12,
2906 2.194e-12, 1.825e-12, 1.511e-12, 1.245e-12, 1.024e-12, 8.539e-13,
2907 7.227e-13, 6.102e-13, 5.189e-13, 4.43e-13, 3.774e-13, 3.236e-13,
2908 2.8e-13, 2.444e-13, 2.156e-13, 1.932e-13, 1.775e-13, 1.695e-13,
2909 1.672e-13, 1.704e-13, 1.825e-13, 2.087e-13, 2.614e-13, 3.377e-13,
2910 4.817e-13, 6.989e-13, 1.062e-12, 1.562e-12, 2.288e-12, 3.295e-12,
2911 4.55e-12, 5.965e-12, 7.546e-12, 9.395e-12, 1.103e-11, 1.228e-11,
2912 1.318e-11, 1.38e-11, 1.421e-11, 1.39e-11, 1.358e-11, 1.336e-11,
2913 1.342e-11, 1.356e-11, 1.424e-11, 1.552e-11, 1.73e-11, 1.951e-11,
2914 2.128e-11, 2.249e-11, 2.277e-11, 2.226e-11, 2.111e-11, 1.922e-11,
2915 1.775e-11, 1.661e-11, 1.547e-11, 1.446e-11, 1.323e-11, 1.21e-11,
2916 1.054e-11, 9.283e-12, 8.671e-12, 8.67e-12, 9.429e-12, 1.062e-11,
2917 1.255e-11, 1.506e-11, 1.818e-11, 2.26e-11, 2.831e-11, 3.723e-11,
2918 5.092e-11, 6.968e-11, 9.826e-11, 1.349e-10, 1.87e-10, 2.58e-10,
2919 3.43e-10, 4.424e-10, 5.521e-10, 6.812e-10, 8.064e-10, 9.109e-10,
2920 9.839e-10, 1.028e-9, 1.044e-9, 1.029e-9, 1.005e-9, 1.002e-9,
2921 1.038e-9, 1.122e-9, 1.233e-9, 1.372e-9, 1.524e-9, 1.665e-9,
2922 1.804e-9, 1.908e-9, 2.015e-9, 2.117e-9, 2.219e-9, 2.336e-9,
2923 2.531e-9, 2.805e-9, 3.189e-9, 3.617e-9, 4.208e-9, 4.911e-9,
2924 5.619e-9, 6.469e-9, 7.188e-9, 7.957e-9, 8.503e-9, 9.028e-9,
2925 9.571e-9, 9.99e-9, 1.055e-8, 1.102e-8, 1.132e-8, 1.141e-8,
2926 1.145e-8, 1.145e-8, 1.176e-8, 1.224e-8, 1.304e-8, 1.388e-8,
2927 1.445e-8, 1.453e-8, 1.368e-8, 1.22e-8, 1.042e-8, 8.404e-9,
2928 6.403e-9, 4.643e-9, 3.325e-9, 2.335e-9, 1.638e-9, 1.19e-9,
2929 9.161e-10, 7.412e-10, 6.226e-10, 5.516e-10, 5.068e-10, 4.831e-10,
2930 4.856e-10, 5.162e-10, 5.785e-10, 6.539e-10, 7.485e-10, 8.565e-10,
2931 9.534e-10, 1.052e-9, 1.115e-9, 1.173e-9, 1.203e-9, 1.224e-9,
2932 1.243e-9, 1.248e-9, 1.261e-9, 1.265e-9, 1.25e-9, 1.217e-9,
2933 1.176e-9, 1.145e-9, 1.153e-9, 1.199e-9, 1.278e-9, 1.366e-9,
2934 1.426e-9, 1.444e-9, 1.365e-9, 1.224e-9, 1.051e-9, 8.539e-10,
2935 6.564e-10, 4.751e-10, 3.404e-10, 2.377e-10, 1.631e-10, 1.114e-10,
2936 7.87e-11, 5.793e-11, 4.284e-11, 3.3e-11, 2.62e-11, 2.152e-11,
2937 1.777e-11, 1.496e-11, 1.242e-11, 1.037e-11, 8.725e-12, 7.004e-12,
2938 5.718e-12, 4.769e-12, 3.952e-12, 3.336e-12, 2.712e-12, 2.213e-12,
2939 1.803e-12, 1.492e-12, 1.236e-12, 1.006e-12, 8.384e-13, 7.063e-13,
2940 5.879e-13, 4.93e-13, 4.171e-13, 3.569e-13, 3.083e-13, 2.688e-13,
2941 2.333e-13, 2.035e-13, 1.82e-13, 1.682e-13, 1.635e-13, 1.674e-13,
2942 1.769e-13, 2.022e-13, 2.485e-13, 3.127e-13, 4.25e-13, 5.928e-13,
2943 8.514e-13, 1.236e-12, 1.701e-12, 2.392e-12, 3.231e-12, 4.35e-12,
2944 5.559e-12, 6.915e-12, 8.519e-12, 1.013e-11, 1.146e-11, 1.24e-11,
2945 1.305e-11, 1.333e-11, 1.318e-11, 1.263e-11, 1.238e-11, 1.244e-11,
2946 1.305e-11, 1.432e-11, 1.623e-11, 1.846e-11, 2.09e-11, 2.328e-11,
2947 2.526e-11, 2.637e-11, 2.702e-11, 2.794e-11, 2.889e-11, 2.989e-11,
2948 3.231e-11, 3.68e-11, 4.375e-11, 5.504e-11, 7.159e-11, 9.502e-11,
2949 1.279e-10, 1.645e-10, 2.098e-10, 2.618e-10, 3.189e-10, 3.79e-10,
2950 4.303e-10, 4.753e-10, 5.027e-10, 5.221e-10, 5.293e-10, 5.346e-10,
2951 5.467e-10, 5.796e-10, 6.2e-10, 6.454e-10, 6.705e-10, 6.925e-10,
2952 7.233e-10, 7.35e-10, 7.538e-10, 7.861e-10, 8.077e-10, 8.132e-10,
2953 7.749e-10, 7.036e-10, 6.143e-10, 5.093e-10, 4.089e-10, 3.092e-10,
2954 2.299e-10, 1.705e-10, 1.277e-10, 9.723e-11, 7.533e-11, 6.126e-11,
2955 5.154e-11, 4.428e-11, 3.913e-11, 3.521e-11, 3.297e-11, 3.275e-11,
2956 3.46e-11, 3.798e-11, 4.251e-11, 4.745e-11, 5.232e-11, 5.606e-11,
2957 5.82e-11, 5.88e-11, 5.79e-11, 5.661e-11, 5.491e-11, 5.366e-11,
2958 5.341e-11, 5.353e-11, 5.336e-11, 5.293e-11, 5.248e-11, 5.235e-11,
2959 5.208e-11, 5.322e-11, 5.521e-11, 5.725e-11, 5.827e-11, 5.685e-11,
2960 5.245e-11, 4.612e-11, 3.884e-11, 3.129e-11, 2.404e-11, 1.732e-11,
2961 1.223e-11, 8.574e-12, 5.888e-12, 3.986e-12, 2.732e-12, 1.948e-12,
2962 1.414e-12, 1.061e-12, 8.298e-13, 6.612e-13, 5.413e-13, 4.472e-13,
2963 3.772e-13, 3.181e-13, 2.645e-13, 2.171e-13, 1.778e-13, 1.464e-13,
2964 1.183e-13, 9.637e-14, 7.991e-14, 6.668e-14, 5.57e-14, 4.663e-14,
2965 3.848e-14, 3.233e-14, 2.706e-14, 2.284e-14, 1.944e-14, 1.664e-14,
2966 1.43e-14, 1.233e-14, 1.066e-14, 9.234e-15, 8.023e-15, 6.993e-15,
2967 6.119e-15, 5.384e-15, 4.774e-15, 4.283e-15, 3.916e-15, 3.695e-15,
2968 3.682e-15, 4.004e-15, 4.912e-15, 6.853e-15, 1.056e-14, 1.712e-14,
2969 2.804e-14, 4.516e-14, 7.113e-14, 1.084e-13, 1.426e-13, 1.734e-13,
2970 1.978e-13, 2.194e-13, 2.388e-13, 2.489e-13, 2.626e-13, 2.865e-13,
2971 3.105e-13, 3.387e-13, 3.652e-13, 3.984e-13, 4.398e-13, 4.906e-13,
2972 5.55e-13, 6.517e-13, 7.813e-13, 9.272e-13, 1.164e-12, 1.434e-12,
2973 1.849e-12, 2.524e-12, 3.328e-12, 4.523e-12, 6.108e-12, 8.207e-12,
2974 1.122e-11, 1.477e-11, 1.9e-11, 2.412e-11, 2.984e-11, 3.68e-11,
2975 4.353e-11, 4.963e-11, 5.478e-11, 5.903e-11, 6.233e-11, 6.483e-11,
2976 6.904e-11, 7.569e-11, 8.719e-11, 1.048e-10, 1.278e-10, 1.557e-10,
2977 1.869e-10, 2.218e-10, 2.61e-10, 2.975e-10, 3.371e-10, 3.746e-10,
2978 4.065e-10, 4.336e-10, 4.503e-10, 4.701e-10, 4.8e-10, 4.917e-10,
2979 5.038e-10, 5.128e-10, 5.143e-10, 5.071e-10, 5.019e-10, 5.025e-10,
2980 5.183e-10, 5.496e-10, 5.877e-10, 6.235e-10, 6.42e-10, 6.234e-10,
2981 5.698e-10, 4.916e-10, 4.022e-10, 3.126e-10, 2.282e-10, 1.639e-10,
2982 1.142e-10, 7.919e-11, 5.69e-11, 4.313e-11, 3.413e-11, 2.807e-11,
2983 2.41e-11, 2.166e-11, 2.024e-11, 1.946e-11, 1.929e-11, 1.963e-11,
2984 2.035e-11, 2.162e-11, 2.305e-11, 2.493e-11, 2.748e-11, 3.048e-11,
2985 3.413e-11, 3.754e-11, 4.155e-11, 4.635e-11, 5.11e-11, 5.734e-11,
2986 6.338e-11, 6.99e-11, 7.611e-11, 8.125e-11, 8.654e-11, 8.951e-11,
2987 9.182e-11, 9.31e-11, 9.273e-11, 9.094e-11, 8.849e-11, 8.662e-11,
2988 8.67e-11, 8.972e-11, 9.566e-11, 1.025e-10, 1.083e-10, 1.111e-10,
2989 1.074e-10, 9.771e-11, 8.468e-11, 6.958e-11, 5.47e-11, 4.04e-11,
2990 2.94e-11, 2.075e-11, 1.442e-11, 1.01e-11, 7.281e-12, 5.409e-12,
2991 4.138e-12, 3.304e-12, 2.784e-12, 2.473e-12, 2.273e-12, 2.186e-12,
2992 2.118e-12, 2.066e-12, 1.958e-12, 1.818e-12, 1.675e-12, 1.509e-12,
2993 1.349e-12, 1.171e-12, 9.838e-13, 8.213e-13, 6.765e-13, 5.378e-13,
2994 4.161e-13, 3.119e-13, 2.279e-13, 1.637e-13, 1.152e-13, 8.112e-14,
2995 5.919e-14, 4.47e-14, 3.492e-14, 2.811e-14, 2.319e-14, 1.948e-14,
2996 1.66e-14, 1.432e-14, 1.251e-14, 1.109e-14, 1.006e-14, 9.45e-15,
2997 9.384e-15, 1.012e-14, 1.216e-14, 1.636e-14, 2.305e-14, 3.488e-14,
2998 5.572e-14, 8.479e-14, 1.265e-13, 1.905e-13, 2.73e-13, 3.809e-13,
2999 4.955e-13, 6.303e-13, 7.861e-13, 9.427e-13, 1.097e-12, 1.212e-12,
3000 1.328e-12, 1.415e-12, 1.463e-12, 1.495e-12, 1.571e-12, 1.731e-12,
3001 1.981e-12, 2.387e-12, 2.93e-12, 3.642e-12, 4.584e-12, 5.822e-12,
3002 7.278e-12, 9.193e-12, 1.135e-11, 1.382e-11, 1.662e-11, 1.958e-11,
3003 2.286e-11, 2.559e-11, 2.805e-11, 2.988e-11, 3.106e-11, 3.182e-11,
3004 3.2e-11, 3.258e-11, 3.362e-11, 3.558e-11, 3.688e-11, 3.8e-11,
3005 3.929e-11, 4.062e-11, 4.186e-11, 4.293e-11, 4.48e-11, 4.643e-11,
3006 4.704e-11, 4.571e-11, 4.206e-11, 3.715e-11, 3.131e-11, 2.541e-11,
3007 1.978e-11, 1.508e-11, 1.146e-11, 8.7e-12, 6.603e-12, 5.162e-12,
3008 4.157e-12, 3.408e-12, 2.829e-12, 2.405e-12, 2.071e-12, 1.826e-12,
3009 1.648e-12, 1.542e-12, 1.489e-12, 1.485e-12, 1.493e-12, 1.545e-12,
3010 1.637e-12, 1.814e-12, 2.061e-12, 2.312e-12, 2.651e-12, 3.03e-12,
3011 3.46e-12, 3.901e-12, 4.306e-12, 4.721e-12, 5.008e-12, 5.281e-12,
3012 5.541e-12, 5.791e-12, 6.115e-12, 6.442e-12, 6.68e-12, 6.791e-12,
3013 6.831e-12, 6.839e-12, 6.946e-12, 7.128e-12, 7.537e-12, 8.036e-12,
3014 8.392e-12, 8.526e-12, 8.11e-12, 7.325e-12, 6.329e-12, 5.183e-12,
3015 4.081e-12, 2.985e-12, 2.141e-12, 1.492e-12, 1.015e-12, 6.684e-13,
3016 4.414e-13, 2.987e-13, 2.038e-13, 1.391e-13, 9.86e-14, 7.24e-14,
3017 5.493e-14, 4.288e-14, 3.427e-14, 2.787e-14, 2.296e-14, 1.909e-14,
3018 1.598e-14, 1.344e-14, 1.135e-14, 9.616e-15, 8.169e-15, 6.957e-15,
3019 5.938e-15, 5.08e-15, 4.353e-15, 3.738e-15, 3.217e-15, 2.773e-15,
3020 2.397e-15, 2.077e-15, 1.805e-15, 1.575e-15, 1.382e-15, 1.221e-15,
3021 1.09e-15, 9.855e-16, 9.068e-16, 8.537e-16, 8.27e-16, 8.29e-16,
3022 8.634e-16, 9.359e-16, 1.055e-15, 1.233e-15, 1.486e-15, 1.839e-15,
3023 2.326e-15, 2.998e-15, 3.934e-15, 5.256e-15, 7.164e-15, 9.984e-15,
3024 1.427e-14, 2.099e-14, 3.196e-14, 5.121e-14, 7.908e-14, 1.131e-13,
3025 1.602e-13, 2.239e-13, 3.075e-13, 4.134e-13, 5.749e-13, 7.886e-13,
3026 1.071e-12, 1.464e-12, 2.032e-12, 2.8e-12, 3.732e-12, 4.996e-12,
3027 6.483e-12, 8.143e-12, 1.006e-11, 1.238e-11, 1.484e-11, 1.744e-11,
3028 2.02e-11, 2.274e-11, 2.562e-11, 2.848e-11, 3.191e-11, 3.617e-11,
3029 4.081e-11, 4.577e-11, 4.937e-11, 5.204e-11, 5.401e-11, 5.462e-11,
3030 5.507e-11, 5.51e-11, 5.605e-11, 5.686e-11, 5.739e-11, 5.766e-11,
3031 5.74e-11, 5.754e-11, 5.761e-11, 5.777e-11, 5.712e-11, 5.51e-11,
3032 5.088e-11, 4.438e-11, 3.728e-11, 2.994e-11, 2.305e-11, 1.715e-11,
3033 1.256e-11, 9.208e-12, 6.745e-12, 5.014e-12, 3.785e-12, 2.9e-12,
3034 2.239e-12, 1.757e-12, 1.414e-12, 1.142e-12, 9.482e-13, 8.01e-13,
3035 6.961e-13, 6.253e-13, 5.735e-13, 5.433e-13, 5.352e-13, 5.493e-13,
3036 5.706e-13, 6.068e-13, 6.531e-13, 7.109e-13, 7.767e-13, 8.59e-13,
3037 9.792e-13, 1.142e-12, 1.371e-12, 1.65e-12, 1.957e-12, 2.302e-12,
3038 2.705e-12, 3.145e-12, 3.608e-12, 4.071e-12, 4.602e-12, 5.133e-12,
3039 5.572e-12, 5.987e-12, 6.248e-12, 6.533e-12, 6.757e-12, 6.935e-12,
3040 7.224e-12, 7.422e-12, 7.538e-12, 7.547e-12, 7.495e-12, 7.543e-12,
3041 7.725e-12, 8.139e-12, 8.627e-12, 9.146e-12, 9.443e-12, 9.318e-12,
3042 8.649e-12, 7.512e-12, 6.261e-12, 4.915e-12, 3.647e-12, 2.597e-12,
3043 1.785e-12, 1.242e-12, 8.66e-13, 6.207e-13, 4.61e-13, 3.444e-13,
3044 2.634e-13, 2.1e-13, 1.725e-13, 1.455e-13, 1.237e-13, 1.085e-13,
3045 9.513e-14, 7.978e-14, 6.603e-14, 5.288e-14, 4.084e-14, 2.952e-14,
3046 2.157e-14, 1.593e-14, 1.199e-14, 9.267e-15, 7.365e-15, 6.004e-15,
3047 4.995e-15, 4.218e-15, 3.601e-15, 3.101e-15, 2.692e-15, 2.36e-15,
3048 2.094e-15, 1.891e-15, 1.755e-15, 1.699e-15, 1.755e-15, 1.987e-15,
3049 2.506e-15, 3.506e-15, 5.289e-15, 8.311e-15, 1.325e-14, 2.129e-14,
3050 3.237e-14, 4.595e-14, 6.441e-14, 8.433e-14, 1.074e-13, 1.383e-13,
3051 1.762e-13, 2.281e-13, 2.831e-13, 3.523e-13, 4.38e-13, 5.304e-13,
3052 6.29e-13, 7.142e-13, 8.032e-13, 8.934e-13, 9.888e-13, 1.109e-12,
3053 1.261e-12, 1.462e-12, 1.74e-12, 2.099e-12, 2.535e-12, 3.008e-12,
3054 3.462e-12, 3.856e-12, 4.098e-12, 4.239e-12, 4.234e-12, 4.132e-12,
3055 3.986e-12, 3.866e-12, 3.829e-12, 3.742e-12, 3.705e-12, 3.694e-12,
3056 3.765e-12, 3.849e-12, 3.929e-12, 4.056e-12, 4.092e-12, 4.047e-12,
3057 3.792e-12, 3.407e-12, 2.953e-12, 2.429e-12, 1.931e-12, 1.46e-12,
3058 1.099e-12, 8.199e-13, 6.077e-13, 4.449e-13, 3.359e-13, 2.524e-13,
3059 1.881e-13, 1.391e-13, 1.02e-13, 7.544e-14, 5.555e-14, 4.22e-14,
3060 3.321e-14, 2.686e-14, 2.212e-14, 1.78e-14, 1.369e-14, 1.094e-14,
3061 9.13e-15, 8.101e-15, 7.828e-15, 8.393e-15, 1.012e-14, 1.259e-14,
3062 1.538e-14, 1.961e-14, 2.619e-14, 3.679e-14, 5.049e-14, 6.917e-14,
3063 8.88e-14, 1.115e-13, 1.373e-13, 1.619e-13, 1.878e-13, 2.111e-13,
3064 2.33e-13, 2.503e-13, 2.613e-13, 2.743e-13, 2.826e-13, 2.976e-13,
3065 3.162e-13, 3.36e-13, 3.491e-13, 3.541e-13, 3.595e-13, 3.608e-13,
3066 3.709e-13, 3.869e-13, 4.12e-13, 4.366e-13, 4.504e-13, 4.379e-13,
3067 3.955e-13, 3.385e-13, 2.741e-13, 2.089e-13, 1.427e-13, 9.294e-14,
3068 5.775e-14, 3.565e-14, 2.21e-14, 1.398e-14, 9.194e-15, 6.363e-15,
3069 4.644e-15, 3.55e-15, 2.808e-15, 2.274e-15, 1.871e-15, 1.557e-15,
3070 1.308e-15, 1.108e-15, 9.488e-16, 8.222e-16, 7.238e-16, 6.506e-16,
3071 6.008e-16, 5.742e-16, 5.724e-16, 5.991e-16, 6.625e-16, 7.775e-16,
3072 9.734e-16, 1.306e-15, 1.88e-15, 2.879e-15, 4.616e-15, 7.579e-15,
3073 1.248e-14, 2.03e-14, 3.244e-14, 5.171e-14, 7.394e-14, 9.676e-14,
3074 1.199e-13, 1.467e-13, 1.737e-13, 2.02e-13, 2.425e-13, 3.016e-13,
3075 3.7e-13, 4.617e-13, 5.949e-13, 7.473e-13, 9.378e-13, 1.191e-12,
3076 1.481e-12, 1.813e-12, 2.232e-12, 2.722e-12, 3.254e-12, 3.845e-12,
3077 4.458e-12, 5.048e-12, 5.511e-12, 5.898e-12, 6.204e-12, 6.293e-12,
3078 6.386e-12, 6.467e-12, 6.507e-12, 6.466e-12, 6.443e-12, 6.598e-12,
3079 6.873e-12, 7.3e-12, 7.816e-12, 8.368e-12, 8.643e-12, 8.466e-12,
3080 7.871e-12, 6.853e-12, 5.714e-12, 4.482e-12, 3.392e-12, 2.613e-12,
3081 2.008e-12, 1.562e-12, 1.228e-12, 9.888e-13, 7.646e-13, 5.769e-13,
3082 4.368e-13, 3.324e-13, 2.508e-13, 1.916e-13
3083 };
3084
3085 static const double xfcrev[15] =
3086 { 1.003, 1.009, 1.015, 1.023, 1.029, 1.033, 1.037,
3087 1.039, 1.04, 1.046, 1.036, 1.027, 1.01, 1.002, 1.
3088 };
3089
3090 double sfac;
3091
3092 /* Get H2O continuum absorption... */
3093 const double xw = nu / 10 + 1;
3094 if (xw >= 1 && xw < 2001) {
3095 const int iw = (int) xw;
3096 const double dw = xw - iw;
3097 const double ew = 1 - dw;
3098 const double cw296 = ew * h2o296[iw - 1] + dw * h2o296[iw];
3099 const double cw260 = ew * h2o260[iw - 1] + dw * h2o260[iw];
3100 const double cwfrn = ew * h2ofrn[iw - 1] + dw * h2ofrn[iw];
3101 if (nu <= 820 || nu >= 960) {
3102 sfac = 1;
3103 } else {
3104 const double xx = (nu - 820) / 10;
3105 const int ix = (int) xx;
3106 const double dx = xx - ix;
3107 sfac = (1 - dx) * xfcrev[ix] + dx * xfcrev[ix + 1];
3108 }
3109 const double ctwslf =
3110 sfac * cw296 * pow(cw260 / cw296, (296 - t) / (296 - 260));
3111 const double vf2 = POW2(nu - 370);
3112 const double vf6 = POW3(vf2);
3113 const double fscal = 36100 / (vf2 + vf6 * 1e-8 + 36100) * -.25 + 1;
3114 const double ctwfrn = cwfrn * fscal;
3115 const double a1 = nu * u * tanh(.7193876 / t * nu);
3116 const double a2 = 296 / t;
3117 const double a3 = p / P0 * (q * ctwslf + (1 - q) * ctwfrn) * 1e-20;
3118 return a1 * a2 * a3;
3119 } else
3120 return 0;
3121}
#define POW3(x)
Compute the cube of a value.
Definition: jurassic.h:974

◆ ctmn2()

double ctmn2 ( const double  nu,
const double  p,
const double  t 
)

Compute N₂ collision-induced absorption coefficient.

Calculates the nitrogen (N₂) absorption coefficient due to collision-induced absorption (CIA) near the 4.3 µm CO₂ band using tabulated laboratory data for the absorption strength (B) and temperature exponent (β).

The function linearly interpolates B and β as a function of wavenumber, then applies a temperature- and pressure-dependent scaling relation to compute the absorption coefficient.

Parameters
[in]nuWavenumber [cm⁻¹].
[in]pPressure [hPa].
[in]tTemperature [K].
Returns
N₂ absorption coefficient [km⁻¹].
Note
Valid for approximately 2120–2600 cm⁻¹ (4.0–4.7 µm) where N₂–N₂ and N₂–O₂ CIA dominates. Returns zero outside the tabulated range.
See also
locate_reg, LIN, P0, N2
Reference
Lafferty et al., J. Quant. Spectrosc. Radiat. Transf., 68, 473–479 (2001)
Author
Lars Hoffmann

Definition at line 3125 of file jurassic.c.

3128 {
3129
3130 static const double ba[98] =
3131 { 0., 4.45e-8, 5.22e-8, 6.46e-8, 7.75e-8, 9.03e-8,
3132 1.06e-7, 1.21e-7, 1.37e-7, 1.57e-7, 1.75e-7, 2.01e-7, 2.3e-7,
3133 2.59e-7, 2.95e-7, 3.26e-7, 3.66e-7, 4.05e-7, 4.47e-7, 4.92e-7,
3134 5.34e-7, 5.84e-7, 6.24e-7, 6.67e-7, 7.14e-7, 7.26e-7, 7.54e-7,
3135 7.84e-7, 8.09e-7, 8.42e-7, 8.62e-7, 8.87e-7, 9.11e-7, 9.36e-7,
3136 9.76e-7, 1.03e-6, 1.11e-6, 1.23e-6, 1.39e-6, 1.61e-6, 1.76e-6,
3137 1.94e-6, 1.97e-6, 1.87e-6, 1.75e-6, 1.56e-6, 1.42e-6, 1.35e-6,
3138 1.32e-6, 1.29e-6, 1.29e-6, 1.29e-6, 1.3e-6, 1.32e-6, 1.33e-6,
3139 1.34e-6, 1.35e-6, 1.33e-6, 1.31e-6, 1.29e-6, 1.24e-6, 1.2e-6,
3140 1.16e-6, 1.1e-6, 1.04e-6, 9.96e-7, 9.38e-7, 8.63e-7, 7.98e-7,
3141 7.26e-7, 6.55e-7, 5.94e-7, 5.35e-7, 4.74e-7, 4.24e-7, 3.77e-7,
3142 3.33e-7, 2.96e-7, 2.63e-7, 2.34e-7, 2.08e-7, 1.85e-7, 1.67e-7,
3143 1.47e-7, 1.32e-7, 1.2e-7, 1.09e-7, 9.85e-8, 9.08e-8, 8.18e-8,
3144 7.56e-8, 6.85e-8, 6.14e-8, 5.83e-8, 5.77e-8, 5e-8, 4.32e-8, 0.
3145 };
3146
3147 static const double betaa[98] =
3148 { 802., 802., 761., 722., 679., 646., 609., 562.,
3149 511., 472., 436., 406., 377., 355., 338., 319., 299., 278., 255.,
3150 233., 208., 184., 149., 107., 66., 25., -13., -49., -82., -104.,
3151 -119., -130., -139., -144., -146., -146., -147., -148., -150.,
3152 -153., -160., -169., -181., -189., -195., -200., -205., -209.,
3153 -211., -210., -210., -209., -205., -199., -190., -180., -168.,
3154 -157., -143., -126., -108., -89., -63., -32., 1., 35., 65., 95.,
3155 121., 141., 152., 161., 164., 164., 161., 155., 148., 143., 137.,
3156 133., 131., 133., 139., 150., 165., 187., 213., 248., 284., 321.,
3157 372., 449., 514., 569., 609., 642., 673., 673.
3158 };
3159
3160 static const double nua[98] =
3161 { 2120., 2125., 2130., 2135., 2140., 2145., 2150.,
3162 2155., 2160., 2165., 2170., 2175., 2180., 2185., 2190., 2195.,
3163 2200., 2205., 2210., 2215., 2220., 2225., 2230., 2235., 2240.,
3164 2245., 2250., 2255., 2260., 2265., 2270., 2275., 2280., 2285.,
3165 2290., 2295., 2300., 2305., 2310., 2315., 2320., 2325., 2330.,
3166 2335., 2340., 2345., 2350., 2355., 2360., 2365., 2370., 2375.,
3167 2380., 2385., 2390., 2395., 2400., 2405., 2410., 2415., 2420.,
3168 2425., 2430., 2435., 2440., 2445., 2450., 2455., 2460., 2465.,
3169 2470., 2475., 2480., 2485., 2490., 2495., 2500., 2505., 2510.,
3170 2515., 2520., 2525., 2530., 2535., 2540., 2545., 2550., 2555.,
3171 2560., 2565., 2570., 2575., 2580., 2585., 2590., 2595., 2600., 2605.
3172 };
3173
3174 const double t0 = 273.0, tr = 296.0;
3175
3176 /* Check wavenumber range... */
3177 if (nu < nua[0] || nu > nua[97])
3178 return 0;
3179
3180 /* Interpolate B and beta... */
3181 const int idx = locate_reg(nua, 98, nu);
3182 const double b =
3183 1e6 * LIN(nua[idx], ba[idx], nua[idx + 1], ba[idx + 1], nu);
3184 const double beta =
3185 LIN(nua[idx], betaa[idx], nua[idx + 1], betaa[idx + 1], nu);
3186
3187 /* Compute absorption coefficient... */
3188 return 0.1 * POW2(p / P0 * t0 / t) * exp(beta * (1 / tr - 1 / t))
3189 * N2 * b * (N2 + (1 - N2) * (1.294 - 0.4545 * t / tr));
3190}
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◆ ctmo2()

double ctmo2 ( const double  nu,
const double  p,
const double  t 
)

Compute O₂ collision-induced absorption coefficient.

Calculates the molecular oxygen (O₂) absorption coefficient due to collision-induced absorption (CIA) using tabulated laboratory data for the absorption strength (B) and temperature exponent (β).

The function linearly interpolates B and β as a function of wavenumber and applies a pressure- and temperature-dependent scaling relation to compute the absorption coefficient.

Parameters
[in]nuWavenumber [cm⁻¹].
[in]pPressure [hPa].
[in]tTemperature [K].
Returns
O₂ absorption coefficient [km⁻¹].
Note
Valid for approximately 1360–1800 cm⁻¹ (∼ 7.4–5.5 µm), corresponding to the O₂ CIA band. Returns zero outside the tabulated range.
See also
locate_reg, LIN, P0, O2
References
Greenblatt et al., J. Quant. Spectrosc. Radiat. Transf., 33, 127–140 (1985) Smith and Newnham, Appl. Opt., 39, 318–326 (2000)
Author
Lars Hoffmann

Definition at line 3194 of file jurassic.c.

3197 {
3198
3199 static const double ba[90] =
3200 { 0., .061, .074, .084, .096, .12, .162, .208, .246,
3201 .285, .314, .38, .444, .5, .571, .673, .768, .853, .966, 1.097,
3202 1.214, 1.333, 1.466, 1.591, 1.693, 1.796, 1.922, 2.037, 2.154,
3203 2.264, 2.375, 2.508, 2.671, 2.847, 3.066, 3.417, 3.828, 4.204,
3204 4.453, 4.599, 4.528, 4.284, 3.955, 3.678, 3.477, 3.346, 3.29,
3205 3.251, 3.231, 3.226, 3.212, 3.192, 3.108, 3.033, 2.911, 2.798,
3206 2.646, 2.508, 2.322, 2.13, 1.928, 1.757, 1.588, 1.417, 1.253,
3207 1.109, .99, .888, .791, .678, .587, .524, .464, .403, .357, .32,
3208 .29, .267, .242, .215, .182, .16, .146, .128, .103, .087, .081,
3209 .071, .064, 0.
3210 };
3211
3212 static const double betaa[90] =
3213 { 467., 467., 400., 315., 379., 368., 475., 521.,
3214 531., 512., 442., 444., 430., 381., 335., 324., 296., 248., 215.,
3215 193., 158., 127., 101., 71., 31., -6., -26., -47., -63., -79.,
3216 -88., -88., -87., -90., -98., -99., -109., -134., -160., -167.,
3217 -164., -158., -153., -151., -156., -166., -168., -173., -170.,
3218 -161., -145., -126., -108., -84., -59., -29., 4., 41., 73., 97.,
3219 123., 159., 198., 220., 242., 256., 281., 311., 334., 319., 313.,
3220 321., 323., 310., 315., 320., 335., 361., 378., 373., 338., 319.,
3221 346., 322., 291., 290., 350., 371., 504., 504.
3222 };
3223
3224 static const double nua[90] =
3225 { 1360., 1365., 1370., 1375., 1380., 1385., 1390.,
3226 1395., 1400., 1405., 1410., 1415., 1420., 1425., 1430., 1435.,
3227 1440., 1445., 1450., 1455., 1460., 1465., 1470., 1475., 1480.,
3228 1485., 1490., 1495., 1500., 1505., 1510., 1515., 1520., 1525.,
3229 1530., 1535., 1540., 1545., 1550., 1555., 1560., 1565., 1570.,
3230 1575., 1580., 1585., 1590., 1595., 1600., 1605., 1610., 1615.,
3231 1620., 1625., 1630., 1635., 1640., 1645., 1650., 1655., 1660.,
3232 1665., 1670., 1675., 1680., 1685., 1690., 1695., 1700., 1705.,
3233 1710., 1715., 1720., 1725., 1730., 1735., 1740., 1745., 1750.,
3234 1755., 1760., 1765., 1770., 1775., 1780., 1785., 1790., 1795.,
3235 1800., 1805.
3236 };
3237
3238 const double t0 = 273, tr = 296;
3239
3240 /* Check wavenumber range... */
3241 if (nu < nua[0] || nu > nua[89])
3242 return 0;
3243
3244 /* Interpolate B and beta... */
3245 const int idx = locate_reg(nua, 90, nu);
3246 const double b = LIN(nua[idx], ba[idx], nua[idx + 1], ba[idx + 1], nu);
3247 const double beta =
3248 LIN(nua[idx], betaa[idx], nua[idx + 1], betaa[idx + 1], nu);
3249
3250 /* Compute absorption coefficient... */
3251 return 0.1 * POW2(p / P0 * t0 / t) * exp(beta * (1 / tr - 1 / t)) * O2 * b;
3252}
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◆ copy_atm()

void copy_atm ( const ctl_t ctl,
atm_t atm_dest,
const atm_t atm_src,
const int  init 
)

Copy or initialize atmospheric profile data.

Copies all fields from one atmospheric structure (atm_src) to another (atm_dest), including geolocation, thermodynamic, gas, extinction, cloud, and surface parameters. If init is nonzero, the destination fields are instead initialized to default values (zeros for most fields, unity for surface emissivity).

Parameters
[in]ctlControl structure defining array dimensions.
[out]atm_destDestination atmospheric structure.
[in]atm_srcSource atmospheric structure.
[in]initInitialization flag:
  • 0 → copy data from atm_src
  • 1 → initialize atm_dest to default values
Note
The number of vertical levels (atm_src->np) determines the amount of data copied. The function performs shallow copies using memcpy for efficiency.
See also
atm_t, ctl_t
Author
Lars Hoffmann

Definition at line 3256 of file jurassic.c.

3260 {
3261
3262 /* Data size... */
3263 const size_t s = (size_t) atm_src->np * sizeof(double);
3264
3265 /* Copy data... */
3266 atm_dest->np = atm_src->np;
3267 memcpy(atm_dest->time, atm_src->time, s);
3268 memcpy(atm_dest->z, atm_src->z, s);
3269 memcpy(atm_dest->lon, atm_src->lon, s);
3270 memcpy(atm_dest->lat, atm_src->lat, s);
3271 memcpy(atm_dest->p, atm_src->p, s);
3272 memcpy(atm_dest->t, atm_src->t, s);
3273 for (int ig = 0; ig < ctl->ng; ig++)
3274 memcpy(atm_dest->q[ig], atm_src->q[ig], s);
3275 for (int iw = 0; iw < ctl->nw; iw++)
3276 memcpy(atm_dest->k[iw], atm_src->k[iw], s);
3277 atm_dest->clz = atm_src->clz;
3278 atm_dest->cldz = atm_src->cldz;
3279 for (int icl = 0; icl < ctl->ncl; icl++)
3280 atm_dest->clk[icl] = atm_src->clk[icl];
3281 atm_dest->sft = atm_src->sft;
3282 for (int isf = 0; isf < ctl->nsf; isf++)
3283 atm_dest->sfeps[isf] = atm_src->sfeps[isf];
3284
3285 /* Initialize... */
3286 if (init)
3287 for (int ip = 0; ip < atm_dest->np; ip++) {
3288 atm_dest->p[ip] = 0;
3289 atm_dest->t[ip] = 0;
3290 for (int ig = 0; ig < ctl->ng; ig++)
3291 atm_dest->q[ig][ip] = 0;
3292 for (int iw = 0; iw < ctl->nw; iw++)
3293 atm_dest->k[iw][ip] = 0;
3294 atm_dest->clz = 0;
3295 atm_dest->cldz = 0;
3296 for (int icl = 0; icl < ctl->ncl; icl++)
3297 atm_dest->clk[icl] = 0;
3298 atm_dest->sft = 0;
3299 for (int isf = 0; isf < ctl->nsf; isf++)
3300 atm_dest->sfeps[isf] = 1;
3301 }
3302}
double lat[NP]
Latitude [deg].
Definition: jurassic.h:1258
double lon[NP]
Longitude [deg].
Definition: jurassic.h:1255

◆ copy_obs()

void copy_obs ( const ctl_t ctl,
obs_t obs_dest,
const obs_t obs_src,
const int  init 
)

Copy or initialize observation geometry and radiance data.

Copies all observation fields from a source structure (obs_src) to a destination structure (obs_dest), including observer, view, and tangent point geometry, as well as radiance and transmittance data. If init is nonzero, radiance and transmittance values are reset to zero wherever finite values are found.

Parameters
[in]ctlControl structure defining the number of channels (ctl_t::nd) and other dimensions.
[out]obs_destDestination observation structure.
[in]obs_srcSource observation structure.
[in]initInitialization flag:
  • 0 → copy data from obs_src
  • 1 → initialize obs_dest (set rad and tau to zero)
Note
The number of ray paths (obs_src->nr) defines the copied data size. Shallow copies are performed via memcpy for efficiency.
See also
obs_t, ctl_t
Author
Lars Hoffmann

Definition at line 3306 of file jurassic.c.

3310 {
3311
3312 /* Data size... */
3313 const size_t s = (size_t) obs_src->nr * sizeof(double);
3314
3315 /* Copy data... */
3316 obs_dest->nr = obs_src->nr;
3317 memcpy(obs_dest->time, obs_src->time, s);
3318 memcpy(obs_dest->obsz, obs_src->obsz, s);
3319 memcpy(obs_dest->obslon, obs_src->obslon, s);
3320 memcpy(obs_dest->obslat, obs_src->obslat, s);
3321 memcpy(obs_dest->vpz, obs_src->vpz, s);
3322 memcpy(obs_dest->vplon, obs_src->vplon, s);
3323 memcpy(obs_dest->vplat, obs_src->vplat, s);
3324 memcpy(obs_dest->tpz, obs_src->tpz, s);
3325 memcpy(obs_dest->tplon, obs_src->tplon, s);
3326 memcpy(obs_dest->tplat, obs_src->tplat, s);
3327 for (int id = 0; id < ctl->nd; id++)
3328 memcpy(obs_dest->rad[id], obs_src->rad[id], s);
3329 for (int id = 0; id < ctl->nd; id++)
3330 memcpy(obs_dest->tau[id], obs_src->tau[id], s);
3331
3332 /* Initialize... */
3333 if (init)
3334 for (int id = 0; id < ctl->nd; id++)
3335 for (int ir = 0; ir < obs_dest->nr; ir++)
3336 if (isfinite(obs_dest->rad[id][ir])) {
3337 obs_dest->rad[id][ir] = 0;
3338 obs_dest->tau[id][ir] = 0;
3339 }
3340}
int nd
Number of radiance channels.
Definition: jurassic.h:1317
double tau[ND][NR]
Transmittance of ray path.
Definition: jurassic.h:1558
double rad[ND][NR]
Radiance [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1561
double tplon[NR]
Tangent point longitude [deg].
Definition: jurassic.h:1552
double vpz[NR]
View point altitude [km].
Definition: jurassic.h:1540
double vplat[NR]
View point latitude [deg].
Definition: jurassic.h:1546
double obslon[NR]
Observer longitude [deg].
Definition: jurassic.h:1534
double obslat[NR]
Observer latitude [deg].
Definition: jurassic.h:1537
double obsz[NR]
Observer altitude [km].
Definition: jurassic.h:1531
double tplat[NR]
Tangent point latitude [deg].
Definition: jurassic.h:1555
double vplon[NR]
View point longitude [deg].
Definition: jurassic.h:1543
double time[NR]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1528
double tpz[NR]
Tangent point altitude [km].
Definition: jurassic.h:1549
int nr
Number of ray paths.
Definition: jurassic.h:1525

◆ day2doy()

void day2doy ( int  year,
int  mon,
int  day,
int *  doy 
)

Convert a calendar date to day-of-year.

This function computes the day-of-year (1–365 or 1–366 for leap years) corresponding to a given Gregorian date specified by year, month, and day.

Leap years are determined using the standard Gregorian rules:

  • Every year divisible by 4 is a leap year,
  • except years divisible by 100, unless also divisible by 400.
Parameters
yearThe full year (e.g., 2025).
monThe month of the year (1–12).
dayThe day of the month (1–31).
[out]doyPointer to an integer where the resulting day-of-year will be stored (1–365 or 1–366).
Note
The caller must ensure that the input date is valid.
Author
Lars Hoffmann

Definition at line 3344 of file jurassic.c.

3348 {
3349
3350 const int d0[12] =
3351 { 1, 32, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335 };
3352 const int d0l[12] =
3353 { 1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336 };
3354
3355 /* Get day of year... */
3356 if (year % 400 == 0 || (year % 100 != 0 && year % 4 == 0))
3357 *doy = d0l[mon - 1] + day - 1;
3358 else
3359 *doy = d0[mon - 1] + day - 1;
3360}

◆ doy2day()

void doy2day ( int  year,
int  doy,
int *  mon,
int *  day 
)

Convert a day-of-year value to a calendar date.

This function computes the month and day corresponding to a given day-of-year (1–365 or 1–366 for leap years) in the Gregorian calendar.

Leap years are determined using the standard Gregorian rules:

  • Every year divisible by 4 is a leap year,
  • except years divisible by 100, unless also divisible by 400.
Parameters
yearThe full year (e.g., 2025).
doyThe day-of-year (1–365 or 1–366).
[out]monPointer to an integer where the calculated month (1–12) will be stored.
[out]dayPointer to an integer where the calculated day-of-month will be stored.
Note
The caller must ensure that doy is within the valid range for the specified year.
Author
Lars Hoffmann

Definition at line 3364 of file jurassic.c.

3368 {
3369
3370 const int d0[12] =
3371 { 1, 32, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335 };
3372 const int d0l[12] =
3373 { 1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336 };
3374 int i;
3375
3376 /* Get month and day... */
3377 if (year % 400 == 0 || (year % 100 != 0 && year % 4 == 0)) {
3378 for (i = 11; i >= 0; i--)
3379 if (d0l[i] <= doy)
3380 break;
3381 *mon = i + 1;
3382 *day = doy - d0l[i] + 1;
3383 } else {
3384 for (i = 11; i >= 0; i--)
3385 if (d0[i] <= doy)
3386 break;
3387 *mon = i + 1;
3388 *day = doy - d0[i] + 1;
3389 }
3390}

◆ find_emitter()

int find_emitter ( const ctl_t ctl,
const char *  emitter 
)

Find gas species index by name.

Searches the list of emitter (gas) names defined in the control structure for a case-insensitive match to the given string. Returns the corresponding gas index if found, or -1 otherwise.

Parameters
[in]ctlControl structure containing the list of gas emitters.
[in]emitterName of the gas species to search for (e.g. "H2O", "CO2").
Returns
Index of the matching emitter (0 ≤ index < ctl->ng), or -1 if no match is found.
Note
Comparison is case-insensitive using strcasecmp().
See also
ctl_t
Author
Lars Hoffmann

Definition at line 3394 of file jurassic.c.

3396 {
3397
3398 for (int ig = 0; ig < ctl->ng; ig++)
3399 if (strcasecmp(ctl->emitter[ig], emitter) == 0)
3400 return ig;
3401
3402 return -1;
3403}

◆ formod()

void formod ( const ctl_t ctl,
const tbl_t tbl,
atm_t atm,
obs_t obs 
)

Execute the selected forward model.

Computes synthetic radiances or brightness temperatures for the given atmospheric state and observation geometry using the selected forward-model method (CGA, EGA, or RFM). The function also applies hydrostatic adjustment, field-of-view convolution, and optional brightness-temperature conversion.

Parameters
[in]ctlControl structure defining model settings and options.
[in]tblEmissivity and source-function lookup tables.
[in,out]atmAtmospheric profile; may be adjusted for hydrostatic balance.
[in,out]obsObservation geometry and radiance data; populated with model output.
Note
The model type is selected via ctl_t::formod:
The function preserves obs->rad elements marked as invalid (NaN) by applying an internal observation mask.
See also
ctl_t, atm_t, obs_t, tbl_t, formod_pencil, formod_rfm, formod_fov, hydrostatic
Author
Lars Hoffmann

Definition at line 3407 of file jurassic.c.

3411 {
3412
3413 int *mask;
3414
3415 /* Allocate... */
3416 ALLOC(mask, int,
3417 ND * NR);
3418
3419 /* Save observation mask... */
3420 for (int id = 0; id < ctl->nd; id++)
3421 for (int ir = 0; ir < obs->nr; ir++)
3422 mask[id * NR + ir] = !isfinite(obs->rad[id][ir]);
3423
3424 /* Hydrostatic equilibrium... */
3425 hydrostatic(ctl, atm);
3426
3427 /* CGA or EGA forward model... */
3428 if (ctl->formod == 0 || ctl->formod == 1)
3429 for (int ir = 0; ir < obs->nr; ir++)
3430 formod_pencil(ctl, tbl, atm, obs, ir);
3431
3432 /* Call RFM... */
3433 else if (ctl->formod == 2)
3434 formod_rfm(ctl, tbl, atm, obs);
3435
3436 /* Apply field-of-view convolution... */
3437 formod_fov(ctl, obs);
3438
3439 /* Convert radiance to brightness temperature... */
3440 if (ctl->write_bbt)
3441 for (int id = 0; id < ctl->nd; id++)
3442 for (int ir = 0; ir < obs->nr; ir++)
3443 obs->rad[id][ir] = BRIGHT(obs->rad[id][ir], ctl->nu[id]);
3444
3445 /* Apply observation mask... */
3446 for (int id = 0; id < ctl->nd; id++)
3447 for (int ir = 0; ir < obs->nr; ir++)
3448 if (mask[id * NR + ir])
3449 obs->rad[id][ir] = NAN;
3450
3451 /* Free... */
3452 free(mask);
3453}
void formod_rfm(const ctl_t *ctl, const tbl_t *tbl, const atm_t *atm, obs_t *obs)
Forward-model radiance and transmittance with the Reference Forward Model (RFM).
Definition: jurassic.c:3693
void formod_pencil(const ctl_t *ctl, const tbl_t *tbl, const atm_t *atm, obs_t *obs, const int ir)
Compute line-of-sight radiances using the pencil-beam forward model.
Definition: jurassic.c:3558
void formod_fov(const ctl_t *ctl, obs_t *obs)
Apply field-of-view (FOV) convolution to modeled radiances.
Definition: jurassic.c:3493
void hydrostatic(const ctl_t *ctl, atm_t *atm)
Adjust pressure profile using the hydrostatic equation.
Definition: jurassic.c:3892
#define BRIGHT(rad, nu)
Compute brightness temperature from radiance.
Definition: jurassic.h:408
#define ND
Maximum number of radiance channels.
Definition: jurassic.h:238
#define ALLOC(ptr, type, n)
Allocate memory for an array.
Definition: jurassic.h:378
#define NR
Maximum number of ray paths.
Definition: jurassic.h:253
double nu[ND]
Centroid wavenumber of each channel [cm^-1].
Definition: jurassic.h:1320
int formod
Forward model (0=CGA, 1=EGA, 2=RFM).
Definition: jurassic.h:1440
int write_bbt
Use brightness temperature instead of radiance (0=no, 1=yes).
Definition: jurassic.h:1434
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◆ formod_continua()

void formod_continua ( const ctl_t ctl,
const los_t los,
const int  ip,
double *  beta 
)

Compute total extinction including gaseous continua.

Calculates the total extinction coefficient for a given line-of-sight point by summing spectrally dependent extinction and optional gaseous continuum contributions (CO₂, H₂O, N₂, O₂).

The function updates the extinction array beta for each spectral channel based on line-by-line extinction and enabled continua flags specified in ctl.

Parameters
[in]ctlControl structure defining model setup and continuum options.
[in]losLine-of-sight data containing pressure, temperature, gas concentrations, and extinction coefficients.
[in]ipIndex of the line-of-sight point to process.
[out]betaArray of total extinction coefficients [km⁻¹] per channel.
Note
Each continuum component is added only if its corresponding control flag (e.g., ctl_t::ctm_co2, ctl_t::ctm_h2o) is enabled and the gas index is valid.
See also
ctl_t, los_t, ctmco2, ctmh2o, ctmn2, ctmo2
Author
Lars Hoffmann

Definition at line 3457 of file jurassic.c.

3461 {
3462
3463 /* Extinction... */
3464 for (int id = 0; id < ctl->nd; id++)
3465 beta[id] = los->k[ip][id];
3466
3467 /* CO2 continuum... */
3468 if (ctl->ctm_co2 && ctl->ig_co2 >= 0)
3469 for (int id = 0; id < ctl->nd; id++)
3470 beta[id] += ctmco2(ctl->nu[id], los->p[ip], los->t[ip],
3471 los->u[ip][ctl->ig_co2]) / los->ds[ip];
3472
3473 /* H2O continuum... */
3474 if (ctl->ctm_h2o && ctl->ig_h2o >= 0)
3475 for (int id = 0; id < ctl->nd; id++)
3476 beta[id] += ctmh2o(ctl->nu[id], los->p[ip], los->t[ip],
3477 los->q[ip][ctl->ig_h2o], los->u[ip][ctl->ig_h2o])
3478 / los->ds[ip];
3479
3480 /* N2 continuum... */
3481 if (ctl->ctm_n2)
3482 for (int id = 0; id < ctl->nd; id++)
3483 beta[id] += ctmn2(ctl->nu[id], los->p[ip], los->t[ip]);
3484
3485 /* O2 continuum... */
3486 if (ctl->ctm_o2)
3487 for (int id = 0; id < ctl->nd; id++)
3488 beta[id] += ctmo2(ctl->nu[id], los->p[ip], los->t[ip]);
3489}
double ctmo2(const double nu, const double p, const double t)
Compute O₂ collision-induced absorption coefficient.
Definition: jurassic.c:3194
double ctmh2o(const double nu, const double p, const double t, const double q, const double u)
Compute water vapor continuum (optical depth).
Definition: jurassic.c:2073
double ctmco2(const double nu, const double p, const double t, const double u)
Compute carbon dioxide continuum (optical depth).
Definition: jurassic.c:1210
double ctmn2(const double nu, const double p, const double t)
Compute N₂ collision-induced absorption coefficient.
Definition: jurassic.c:3125
int ctm_co2
Compute CO2 continuum (0=no, 1=yes).
Definition: jurassic.h:1362
int ctm_n2
Compute N2 continuum (0=no, 1=yes).
Definition: jurassic.h:1368
int ctm_h2o
Compute H2O continuum (0=no, 1=yes).
Definition: jurassic.h:1365
int ctm_o2
Compute O2 continuum (0=no, 1=yes).
Definition: jurassic.h:1371
int ig_h2o
Emitter index of H2O.
Definition: jurassic.h:1308
double q[NLOS][NG]
Volume mixing ratio [ppv].
Definition: jurassic.h:1481
double ds[NLOS]
Segment length [km].
Definition: jurassic.h:1493
double u[NLOS][NG]
Column density [molecules/cm^2].
Definition: jurassic.h:1496
double k[NLOS][ND]
Extinction [km^-1].
Definition: jurassic.h:1484
double t[NLOS]
Temperature [K].
Definition: jurassic.h:1478
double p[NLOS]
Pressure [hPa].
Definition: jurassic.h:1475
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◆ formod_fov()

void formod_fov ( const ctl_t ctl,
obs_t obs 
)

Apply field-of-view (FOV) convolution to modeled radiances.

Convolves pencil-beam radiances and transmittances along each ray path with the instrument field-of-view weighting function defined in the control structure. This simulates finite FOV effects on measured radiances and transmittances.

Parameters
[in]ctlControl structure containing FOV parameters (offsets ctl_t::fov_dz and weights ctl_t::fov_w).
[in,out]obsObservation structure; input pencil-beam data are replaced with FOV-convolved radiances and transmittances.
Note
The convolution is skipped if ctl_t::fov starts with '-' (indicating no FOV correction). Requires at least two valid altitude samples per time step.
Exceptions
ERRMSGif insufficient data are available for convolution.
Author
Lars Hoffmann

Definition at line 3493 of file jurassic.c.

3495 {
3496
3497 obs_t *obs2;
3498
3499 double rad[ND][NR], tau[ND][NR], z[NR];
3500
3501 /* Do not take into account FOV... */
3502 if (ctl->fov[0] == '-')
3503 return;
3504
3505 /* Allocate... */
3506 ALLOC(obs2, obs_t, 1);
3507
3508 /* Copy observation data... */
3509 copy_obs(ctl, obs2, obs, 0);
3510
3511 /* Loop over ray paths... */
3512 for (int ir = 0; ir < obs->nr; ir++) {
3513
3514 /* Get radiance and transmittance profiles... */
3515 int nz = 0;
3516 for (int ir2 = MAX(ir - NFOV, 0);
3517 ir2 < MIN(ir + 1 + NFOV, obs->nr); ir2++)
3518 if (obs->time[ir2] == obs->time[ir]) {
3519 z[nz] = obs2->vpz[ir2];
3520 for (int id = 0; id < ctl->nd; id++) {
3521 rad[id][nz] = obs2->rad[id][ir2];
3522 tau[id][nz] = obs2->tau[id][ir2];
3523 }
3524 nz++;
3525 }
3526 if (nz < 2)
3527 ERRMSG("Cannot apply FOV convolution!");
3528
3529 /* Convolute profiles with FOV... */
3530 double wsum = 0;
3531 for (int id = 0; id < ctl->nd; id++) {
3532 obs->rad[id][ir] = 0;
3533 obs->tau[id][ir] = 0;
3534 }
3535 for (int i = 0; i < ctl->fov_n; i++) {
3536 const double zfov = obs->vpz[ir] + ctl->fov_dz[i];
3537 const int idx = locate_irr(z, nz, zfov);
3538 for (int id = 0; id < ctl->nd; id++) {
3539 obs->rad[id][ir] += ctl->fov_w[i]
3540 * LIN(z[idx], rad[id][idx], z[idx + 1], rad[id][idx + 1], zfov);
3541 obs->tau[id][ir] += ctl->fov_w[i]
3542 * LIN(z[idx], tau[id][idx], z[idx + 1], tau[id][idx + 1], zfov);
3543 }
3544 wsum += ctl->fov_w[i];
3545 }
3546 for (int id = 0; id < ctl->nd; id++) {
3547 obs->rad[id][ir] /= wsum;
3548 obs->tau[id][ir] /= wsum;
3549 }
3550 }
3551
3552 /* Free... */
3553 free(obs2);
3554}
int locate_irr(const double *xx, const int n, const double x)
Locate index for interpolation on an irregular grid.
Definition: jurassic.c:4471
void copy_obs(const ctl_t *ctl, obs_t *obs_dest, const obs_t *obs_src, const int init)
Copy or initialize observation geometry and radiance data.
Definition: jurassic.c:3306
#define NFOV
Number of ray paths used for FOV calculations.
Definition: jurassic.h:298
#define MIN(a, b)
Determine the minimum of two values.
Definition: jurassic.h:626
#define ERRMSG(...)
Print an error message with contextual information and terminate the program.
Definition: jurassic.h:1193
#define MAX(a, b)
Determine the maximum of two values.
Definition: jurassic.h:608
char fov[LEN]
Field-of-view data file.
Definition: jurassic.h:1383
int fov_n
Field-of-view number of data points.
Definition: jurassic.h:1392
double fov_dz[NSHAPE]
Field-of-view vertical distance [km].
Definition: jurassic.h:1386
double fov_w[NSHAPE]
Field-of-view weighting factor.
Definition: jurassic.h:1389
Observation geometry and radiance data.
Definition: jurassic.h:1522
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◆ formod_pencil()

void formod_pencil ( const ctl_t ctl,
const tbl_t tbl,
const atm_t atm,
obs_t obs,
const int  ir 
)

Compute line-of-sight radiances using the pencil-beam forward model.

Simulates monochromatic radiances and transmittances along a single line of sight using a layer-by-layer pencil-beam approximation. The model includes gaseous absorption, continuum extinction, surface emission, reflection, and optional solar illumination.

Parameters
[in]ctlControl structure defining model configuration, gas setup, surface type, and spectral parameters.
[in]tblEmissivity and source-function lookup tables.
[in]atmAtmospheric state containing pressure, temperature, and gas profiles.
[in,out]obsObservation data; updated with modeled radiances and transmittances for the specified ray path.
[in]irIndex of the current ray path in obs.
Note
Depending on ctl_t::formod, this function calls either intpol_tbl_cga() (CGA) or intpol_tbl_ega() (EGA) for gas absorption interpolation.
Surface effects include emission, reflection, and—if enabled— solar illumination based on the solar zenith angle.
See also
ctl_t, atm_t, obs_t, tbl_t, los_t, raytrace, formod_continua, formod_srcfunc, intpol_tbl_cga, intpol_tbl_ega, PLANCK
Author
Lars Hoffmann

Definition at line 3558 of file jurassic.c.

3563 {
3564
3565 los_t *los;
3566
3567 double beta_ctm[ND], rad[ND], tau[ND], tau_refl[ND],
3568 tau_path[ND][NG], tau_gas[ND], x0[3], x1[3];
3569
3570 /* Allocate... */
3571 ALLOC(los, los_t, 1);
3572
3573 /* Initialize... */
3574 for (int id = 0; id < ctl->nd; id++) {
3575 rad[id] = 0;
3576 tau[id] = 1;
3577 for (int ig = 0; ig < ctl->ng; ig++)
3578 tau_path[id][ig] = 1;
3579 }
3580
3581 /* Raytracing... */
3582 raytrace(ctl, atm, obs, los, ir);
3583
3584 /* Loop over LOS points... */
3585 for (int ip = 0; ip < los->np; ip++) {
3586
3587 /* Get trace gas transmittance... */
3588 if (ctl->formod == 0)
3589 intpol_tbl_cga(ctl, tbl, los, ip, tau_path, tau_gas);
3590 else
3591 intpol_tbl_ega(ctl, tbl, los, ip, tau_path, tau_gas);
3592
3593 /* Get continuum absorption... */
3594 formod_continua(ctl, los, ip, beta_ctm);
3595
3596 /* Compute Planck function... */
3597 formod_srcfunc(ctl, tbl, los->t[ip], los->src[ip]);
3598
3599 /* Loop over channels... */
3600 for (int id = 0; id < ctl->nd; id++)
3601 if (tau_gas[id] > 0) {
3602
3603 /* Get segment emissivity... */
3604 los->eps[ip][id] = 1 - tau_gas[id] * exp(-beta_ctm[id] * los->ds[ip]);
3605
3606 /* Compute radiance... */
3607 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau[id];
3608
3609 /* Compute path transmittance... */
3610 tau[id] *= (1 - los->eps[ip][id]);
3611 }
3612 }
3613
3614 /* Check whether LOS hit the ground... */
3615 if (ctl->sftype >= 1 && los->sft > 0) {
3616
3617 /* Add surface emissions... */
3618 double src_sf[ND];
3619 formod_srcfunc(ctl, tbl, los->sft, src_sf);
3620 for (int id = 0; id < ctl->nd; id++)
3621 rad[id] += los->sfeps[id] * src_sf[id] * tau[id];
3622
3623 /* Check reflectivity... */
3624 int refl = 0;
3625 if (ctl->sftype >= 2)
3626 for (int id = 0; id < ctl->nd; id++)
3627 if (los->sfeps[id] < 1) {
3628 refl = 1;
3629 break;
3630 }
3631
3632 /* Calculate reflection... */
3633 if (refl) {
3634
3635 /* Initialize... */
3636 for (int id = 0; id < ctl->nd; id++)
3637 tau_refl[id] = 1;
3638
3639 /* Add down-welling radiance... */
3640 for (int ip = los->np - 1; ip >= 0; ip--)
3641 for (int id = 0; id < ctl->nd; id++) {
3642 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau_refl[id]
3643 * tau[id] * (1 - los->sfeps[id]);
3644 tau_refl[id] *= (1 - los->eps[ip][id]);
3645 }
3646
3647 /* Add solar term... */
3648 if (ctl->sftype >= 3) {
3649
3650 /* Get cosine of solar zenith angle... */
3651 double cos_sza_val;
3652 if (ctl->sfsza < 0)
3653 cos_sza_val = cos_sza(obs->time[ir],
3654 los->lon[los->np - 1], los->lat[los->np - 1]);
3655 else
3656 cos_sza_val = cos(DEG2RAD(ctl->sfsza));
3657
3658 /* Check validity (avoid division by zero)... */
3659 if (cos_sza_val > 1e-6) {
3660
3661 /* Compute incidence direction cosine... */
3662 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
3663 los->lat[los->np - 1], x0);
3664 geo2cart(los->z[0], los->lon[0], los->lat[0], x1);
3665 for (int i = 0; i < 3; i++)
3666 x1[i] -= x0[i];
3667 const double cosa = DOTP(x0, x1) / NORM(x0) / NORM(x1);
3668
3669 /* Ratio of incident direction to solar zenith direction... */
3670 const double rcos = cosa / cos_sza_val;
3671
3672 /* Add solar radiance contribution... */
3673 for (int id = 0; id < ctl->nd; id++)
3674 rad[id] += 6.764e-5 / (2. * M_PI) * PLANCK(TSUN, ctl->nu[id])
3675 * tau_refl[id] * (1 - los->sfeps[id]) * tau[id] * rcos;
3676 }
3677 }
3678 }
3679 }
3680
3681 /* Copy results... */
3682 for (int id = 0; id < ctl->nd; id++) {
3683 obs->rad[id][ir] = rad[id];
3684 obs->tau[id][ir] = tau[id];
3685 }
3686
3687 /* Free... */
3688 free(los);
3689}
double cos_sza(const double sec, const double lon, const double lat)
Calculates the cosine of the solar zenith angle.
Definition: jurassic.c:1138
void intpol_tbl_ega(const ctl_t *ctl, const tbl_t *tbl, const los_t *los, const int ip, double tau_path[ND][NG], double tau_seg[ND])
Interpolate emissivities and transmittances using the Emissivity Growth Approximation (EGA).
Definition: jurassic.c:4153
void formod_continua(const ctl_t *ctl, const los_t *los, const int ip, double *beta)
Compute total extinction including gaseous continua.
Definition: jurassic.c:3457
void raytrace(const ctl_t *ctl, const atm_t *atm, obs_t *obs, los_t *los, const int ir)
Perform line-of-sight (LOS) ray tracing through the atmosphere.
Definition: jurassic.c:4916
void intpol_tbl_cga(const ctl_t *ctl, const tbl_t *tbl, const los_t *los, const int ip, double tau_path[ND][NG], double tau_seg[ND])
Interpolate emissivities and transmittances using the Curtis–Godson approximation (CGA).
Definition: jurassic.c:4063
void formod_srcfunc(const ctl_t *ctl, const tbl_t *tbl, const double t, double *src)
Interpolate the source function (Planck radiance) at a given temperature.
Definition: jurassic.c:3855
void geo2cart(const double z, const double lon, const double lat, double *x)
Converts geographic coordinates (longitude, latitude, altitude) to Cartesian coordinates.
Definition: jurassic.c:3872
#define DOTP(a, b)
Compute dot product of two 3D vectors.
Definition: jurassic.h:500
#define TSUN
Effective temperature of the sun [K].
Definition: jurassic.h:214
#define PLANCK(T, nu)
Compute spectral radiance using Planck’s law.
Definition: jurassic.h:947
double sfsza
Solar zenith angle at the surface [deg] (-999=auto).
Definition: jurassic.h:1344
int sftype
Surface treatment (0=none, 1=emissions, 2=downward, 3=solar).
Definition: jurassic.h:1341
Line-of-sight data.
Definition: jurassic.h:1460
double z[NLOS]
Altitude [km].
Definition: jurassic.h:1466
double eps[NLOS][ND]
Segment emissivity.
Definition: jurassic.h:1508
double sft
Surface temperature [K].
Definition: jurassic.h:1487
double lon[NLOS]
Longitude [deg].
Definition: jurassic.h:1469
int np
Number of LOS points.
Definition: jurassic.h:1463
double lat[NLOS]
Latitude [deg].
Definition: jurassic.h:1472
double src[NLOS][ND]
Segment source function [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1511
double sfeps[ND]
Surface emissivity.
Definition: jurassic.h:1490
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◆ formod_rfm()

void formod_rfm ( const ctl_t ctl,
const tbl_t tbl,
const atm_t atm,
obs_t obs 
)

Forward-model radiance and transmittance with the Reference Forward Model (RFM).

This routine provides the JURASSIC interface to the external RFM executable. It writes an RFM atmospheric profile file and a per-channel RFM driver file, runs RFM, and reads back the resulting radiance and transmittance spectra. The spectra are then convolved with the instrument channel filter functions and stored in the observation structure.

Filter functions are taken exclusively from the lookup-table container tbl (i.e., tbl->filt_n, tbl->filt_nu, tbl->filt_f). This makes the behavior independent of the lookup-table format (ASCII, binary, or netCDF) and avoids reliance on external per-channel ASCII filter files.

Viewing geometry is classified as one of:

  • limb: uses tangent altitude
  • nadir: path intersects the surface (secant/air-mass-factor geometry)
  • zenith: upward-looking path exits the atmosphere at the top boundary

Mixed geometries (e.g., limb and nadir simultaneously) are not allowed and will trigger an error.

Limitations:

  • Requires identical observer positions for all rays.
  • Does not support extinction input data (atm->k must be zero everywhere).
  • Uses temporary files in the current working directory (e.g., rfm.atm, rfm.drv, rad_*.asc, tra_*.asc) and removes them on completion.
Parameters
[in]ctlControl and configuration parameters (RFM binary path, HITRAN/XSC settings, channel definitions, flags such as refraction and continua).
[in]tblLookup-table container providing per-channel filter functions.
[in]atmAtmospheric state (altitude grid, temperature, and gas profiles).
[out]obsObservation geometry and output arrays; on return, obs->rad[id][ir] and obs->tau[id][ir] are filled for all channels and rays.
Precondition
tbl contains valid filter functions for all channels used (tbl->filt_n[id] > 0).
All rays share identical observer position (obsz/obslon/obslat).
No extinction data is present (atm->k == 0 for all wavelengths/levels).
Postcondition
obs->rad and obs->tau are updated with channel-integrated radiance and transmittance computed by RFM.
Note
The surface temperature is taken as the temperature at the lowest altitude level of the atmospheric grid.
Warning
This function executes external commands via system(), and creates/removes files in the current working directory.
Reference
Dudhia, A., "The Reference Forward Model (RFM)", JQSRT 186, 243–253 (2017)
Author
Lars Hoffmann

Definition at line 3693 of file jurassic.c.

3697 {
3698
3699 los_t *los;
3700
3701 FILE *out;
3702
3703 char cmd[2 * LEN], rfmflg[LEN] = { "RAD TRA MIX LIN SFC" };
3704
3705 double f[NSHAPE], nu[NSHAPE], nu0, nu1, obsz = -999, tsurf,
3706 xd[3], xo[3], xv[3], z[NR], zmin, zmax;
3707
3708 int n, nadir = 0, zenith = 0;
3709
3710 /* Allocate... */
3711 ALLOC(los, los_t, 1);
3712
3713 /* Check observer positions... */
3714 for (int ir = 1; ir < obs->nr; ir++)
3715 if (obs->obsz[ir] != obs->obsz[0]
3716 || obs->obslon[ir] != obs->obslon[0]
3717 || obs->obslat[ir] != obs->obslat[0])
3718 ERRMSG("RFM interface requires identical observer positions!");
3719
3720 /* Check extinction data... */
3721 for (int iw = 0; iw < ctl->nw; iw++)
3722 for (int ip = 0; ip < atm->np; ip++)
3723 if (atm->k[iw][ip] != 0)
3724 ERRMSG("RFM interface cannot handle extinction data!");
3725
3726 /* Get altitude range of atmospheric data... */
3727 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
3728
3729 /* Observer within atmosphere? */
3730 if (obs->obsz[0] >= zmin && obs->obsz[0] <= zmax) {
3731 obsz = obs->obsz[0];
3732 strcat(rfmflg, " OBS");
3733 }
3734
3735 /* Determine tangent altitude or air mass factor... */
3736 for (int ir = 0; ir < obs->nr; ir++) {
3737
3738 /* Raytracing... */
3739 raytrace(ctl, atm, obs, los, ir);
3740
3741 /* Nadir or zenith? (air mass factor / secant of zenith angle) */
3742 if (obs->tpz[ir] <= zmin) {
3743
3744 /* Nadir: path intersects the surface. */
3745 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3746 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3747 for (int i = 0; i < 3; i++)
3748 xd[i] = xo[i] - xv[i];
3749 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3750 nadir++;
3751
3752 } else if (obs->tpz[ir] >= zmax - 1e-3 && obs->vpz[ir] > obs->obsz[ir]) {
3753
3754 /* Zenith: upward-looking path leaves the atmosphere at the top boundary. */
3755 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3756 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3757 for (int i = 0; i < 3; i++)
3758 xd[i] = xv[i] - xo[i];
3759 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3760 zenith++;
3761
3762 } else
3763 /* Limb: use tangent altitude. */
3764 z[ir] = obs->tpz[ir];
3765 }
3766 if ((nadir > 0 && nadir < obs->nr)
3767 || (zenith > 0 && zenith < obs->nr)
3768 || (nadir > 0 && zenith > 0))
3769 ERRMSG("Limb, nadir, and zenith not simultaneously possible!");
3770
3771 /* Viewing geometry... */
3772 if (nadir)
3773 strcat(rfmflg, " NAD");
3774 if (zenith)
3775 strcat(rfmflg, " ZEN");
3776
3777 /* Get surface temperature... */
3778 tsurf = atm->t[gsl_stats_min_index(atm->z, 1, (size_t) atm->np)];
3779
3780 /* Refraction? */
3781 if (!nadir && !zenith && !ctl->refrac)
3782 strcat(rfmflg, " GEO");
3783
3784 /* Continua? */
3785 if (ctl->ctm_co2 || ctl->ctm_h2o || ctl->ctm_n2 || ctl->ctm_o2)
3786 strcat(rfmflg, " CTM");
3787
3788 /* Write atmospheric data file... */
3789 write_atm_rfm("rfm.atm", ctl, atm);
3790
3791 /* Loop over channels... */
3792 for (int id = 0; id < ctl->nd; id++) {
3793
3794 /* Get filter function from lookup table... */
3795 n = tbl->filt_n[id];
3796 if (n <= 0 || n > NSHAPE)
3797 ERRMSG("Missing or invalid filter function in lookup table!");
3798 memcpy(nu, tbl->filt_nu[id], (size_t) n * sizeof(double));
3799 memcpy(f, tbl->filt_f[id], (size_t) n * sizeof(double));
3800
3801 /* Set spectral range... */
3802 nu0 = nu[0];
3803 nu1 = nu[n - 1];
3804
3805 /* Create RFM driver file... */
3806 if (!(out = fopen("rfm.drv", "w")))
3807 ERRMSG("Cannot create file!");
3808 fprintf(out, "*HDR\nRFM call by JURASSIC.\n");
3809 fprintf(out, "*FLG\n%s\n", rfmflg);
3810 fprintf(out, "*SPC\n%.4f %.4f 0.0005\n", nu0, nu1);
3811 fprintf(out, "*GAS\n");
3812 for (int ig = 0; ig < ctl->ng; ig++)
3813 fprintf(out, "%s\n", ctl->emitter[ig]);
3814 fprintf(out, "*ATM\nrfm.atm\n");
3815 fprintf(out, "*TAN\n");
3816 for (int ir = 0; ir < obs->nr; ir++)
3817 fprintf(out, "%g\n", z[ir]);
3818 fprintf(out, "*SFC\n%g 1.0\n", tsurf);
3819 if (obsz >= 0)
3820 fprintf(out, "*OBS\n%g\n", obsz);
3821 fprintf(out, "*HIT\n%s\n", ctl->rfmhit);
3822 fprintf(out, "*XSC\n");
3823 for (int ig = 0; ig < ctl->ng; ig++)
3824 if (ctl->rfmxsc[ig][0] != '-')
3825 fprintf(out, "%s\n", ctl->rfmxsc[ig]);
3826 fprintf(out, "*END\n");
3827 fclose(out);
3828
3829 /* Remove temporary files... */
3830 if (system("rm -f rfm.runlog rad_*.asc tra_*.asc"))
3831 ERRMSG("Cannot remove temporary files!");
3832
3833 /* Call RFM... */
3834 sprintf(cmd, "echo | %s", ctl->rfmbin);
3835 if (system(cmd))
3836 ERRMSG("Error while calling RFM!");
3837
3838 /* Read data... */
3839 for (int ir = 0; ir < obs->nr; ir++) {
3840 obs->rad[id][ir] = read_obs_rfm("rad", z[ir], nu, f, n) * 1e-5;
3841 obs->tau[id][ir] = read_obs_rfm("tra", z[ir], nu, f, n);
3842 }
3843 }
3844
3845 /* Remove temporary files... */
3846 if (system("rm -f rfm.drv rfm.atm rfm.runlog rad_*.asc tra_*.asc"))
3847 ERRMSG("Error while removing temporary files!");
3848
3849 /* Free... */
3850 free(los);
3851}
double read_obs_rfm(const char *basename, const double z, const double *nu, const double *f, const int n)
Read and spectrally convolve an RFM output spectrum.
Definition: jurassic.c:5919
void write_atm_rfm(const char *filename, const ctl_t *ctl, const atm_t *atm)
Write atmospheric profile in RFM-compatible format.
Definition: jurassic.c:7358
#define LEN
Maximum length of ASCII data lines.
Definition: jurassic.h:268
#define NSHAPE
Maximum number of shape function grid points.
Definition: jurassic.h:293
char rfmhit[LEN]
HITRAN file for RFM.
Definition: jurassic.h:1446
char rfmbin[LEN]
Path to RFM binary.
Definition: jurassic.h:1443
char rfmxsc[NG][LEN]
Emitter cross-section files for RFM.
Definition: jurassic.h:1449
int refrac
Take into account refractivity (0=no, 1=yes).
Definition: jurassic.h:1374
int filt_n[ND]
Filter function number of spectral grid points.
Definition: jurassic.h:1683
double filt_f[ND][NSHAPE]
Filter function values.
Definition: jurassic.h:1689
double filt_nu[ND][NSHAPE]
Filter function spectral grid points [cm^-1].
Definition: jurassic.h:1686
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◆ formod_srcfunc()

void formod_srcfunc ( const ctl_t ctl,
const tbl_t tbl,
const double  t,
double *  src 
)

Interpolate the source function (Planck radiance) at a given temperature.

Computes source function values by linearly interpolating between precomputed Planck radiances in the lookup table. The resulting radiance spectrum corresponds to the input temperature and is stored in src for all spectral channels.

Parameters
[in]ctlControl structure defining the number of spectral channels.
[in]tblEmissivity and source-function lookup table containing Planck radiances (tbl_t::sr) and corresponding temperatures (tbl_t::st).
[in]tTemperature [K] for which the source function is evaluated.
[out]srcOutput array of interpolated source-function values [W·m⁻²·sr⁻¹·cm⁻¹] per spectral channel.
Note
Linear interpolation is used between the two nearest temperature grid points. The function does not extrapolate beyond the tabulated temperature range.
See also
ctl_t, tbl_t, LIN, locate_reg
Author
Lars Hoffmann

Definition at line 3855 of file jurassic.c.

3859 {
3860
3861 /* Determine index in temperature array... */
3862 const int it = locate_reg(tbl->st, TBLNS, t);
3863
3864 /* Interpolate Planck function value... */
3865 for (int id = 0; id < ctl->nd; id++)
3866 src[id] = LIN(tbl->st[it], tbl->sr[it][id],
3867 tbl->st[it + 1], tbl->sr[it + 1][id], t);
3868}
#define TBLNS
Maximum number of source function temperature levels.
Definition: jurassic.h:318
double sr[TBLNS][ND]
Source function radiance [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1695
double st[TBLNS]
Source function temperature [K].
Definition: jurassic.h:1692
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◆ geo2cart()

void geo2cart ( const double  z,
const double  lon,
const double  lat,
double *  x 
)

Converts geographic coordinates (longitude, latitude, altitude) to Cartesian coordinates.

This function converts geographic coordinates specified by longitude, latitude, and altitude into Cartesian coordinates. The Earth is approximated as a sphere with radius defined by the constant RE.

Parameters
zThe altitude above the Earth's surface in kilometers.
lonThe longitude in degrees.
latThe latitude in degrees.
xPointer to an array of three doubles where the computed Cartesian coordinates (x, y, z) will be stored.

The function computes the Cartesian coordinates using the given altitude, longitude, and latitude. It assumes the Earth is a perfect sphere and uses the following formulas:

  • \( x = (\textrm{radius}) \cos(\textrm{lat in radians}) \cos(\textrm{lon in radians}) \)
  • \( y = (\textrm{radius}) \cos(\textrm{lat in radians}) \sin(\textrm{lon in radians}) \)
  • \( z = (\textrm{radius}) \sin(\textrm{lat in radians}) \)
Note
The constant RE is defined as the Earth's radius in kilometers.
Longitude and latitude should be in degrees.
See also
https://en.wikipedia.org/wiki/Geographic_coordinate_conversion
Author
Lars Hoffmann

Definition at line 3872 of file jurassic.c.

3876 {
3877
3878 const double radius = z + RE;
3879
3880 const double latrad = lat / 180. * M_PI;
3881 const double lonrad = lon / 180. * M_PI;
3882
3883 const double coslat = cos(latrad);
3884
3885 x[0] = radius * coslat * cos(lonrad);
3886 x[1] = radius * coslat * sin(lonrad);
3887 x[2] = radius * sin(latrad);
3888}

◆ hydrostatic()

void hydrostatic ( const ctl_t ctl,
atm_t atm 
)

Adjust pressure profile using the hydrostatic equation.

Recomputes the atmospheric pressure field to ensure hydrostatic equilibrium with respect to altitude and temperature. Starting from a reference altitude (ctl_t::hydz), the routine integrates the hydrostatic balance equation both upward and downward through the profile using small interpolation steps.

The air density is corrected for humidity using the mean molecular mass of dry air and water vapor.

Parameters
[in]ctlControl structure providing model constants and reference altitude (ctl_t::hydz) and H₂O index (ctl_t::ig_h2o).
[in,out]atmAtmospheric state; input temperatures, heights, and humidities are used to update pressure [hPa].
Note
The integration is performed in log-pressure space assuming hydrostatic balance: \( \frac{dp}{dz} = -\rho g \),
using 20 linear substeps between adjacent levels.
See also
ctl_t, atm_t, LIN, G0, RI
Author
Lars Hoffmann

Definition at line 3892 of file jurassic.c.

3894 {
3895
3896 const double mmair = 28.96456e-3, mmh2o = 18.0153e-3;
3897
3898 const int ipts = 20;
3899
3900 double dzmin = 1e99, e = 0;
3901
3902 int ipref = 0;
3903
3904 /* Check reference height... */
3905 if (ctl->hydz < 0)
3906 return;
3907
3908 /* Find air parcel next to reference height... */
3909 for (int ip = 0; ip < atm->np; ip++)
3910 if (fabs(atm->z[ip] - ctl->hydz) < dzmin) {
3911 dzmin = fabs(atm->z[ip] - ctl->hydz);
3912 ipref = ip;
3913 }
3914
3915 /* Upper part of profile... */
3916 for (int ip = ipref + 1; ip < atm->np; ip++) {
3917 double mean = 0;
3918 for (int i = 0; i < ipts; i++) {
3919 if (ctl->ig_h2o >= 0)
3920 e = LIN(0.0, atm->q[ctl->ig_h2o][ip - 1],
3921 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3922 mean += (e * mmh2o + (1 - e) * mmair)
3923 * G0 / RI
3924 / LIN(0.0, atm->t[ip - 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3925 }
3926
3927 /* Compute p(z,T)... */
3928 atm->p[ip] =
3929 exp(log(atm->p[ip - 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip - 1]));
3930 }
3931
3932 /* Lower part of profile... */
3933 for (int ip = ipref - 1; ip >= 0; ip--) {
3934 double mean = 0;
3935 for (int i = 0; i < ipts; i++) {
3936 if (ctl->ig_h2o >= 0)
3937 e = LIN(0.0, atm->q[ctl->ig_h2o][ip + 1],
3938 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3939 mean += (e * mmh2o + (1 - e) * mmair)
3940 * G0 / RI
3941 / LIN(0.0, atm->t[ip + 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3942 }
3943
3944 /* Compute p(z,T)... */
3945 atm->p[ip] =
3946 exp(log(atm->p[ip + 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip + 1]));
3947 }
3948}
#define G0
Standard gravity [m/s^2].
Definition: jurassic.h:149
#define RI
Ideal gas constant [J/(mol K)].
Definition: jurassic.h:194
double hydz
Reference height for hydrostatic pressure profile (-999 to skip) [km].
Definition: jurassic.h:1359

◆ idx2name()

void idx2name ( const ctl_t ctl,
const int  idx,
char *  quantity 
)

Convert a quantity index to a descriptive name string.

Translates a model quantity index (e.g., pressure, temperature, gas mixing ratio, extinction, or surface parameter) into a human-readable name. The function uses the index mapping defined in the control structure to assign appropriate labels.

Parameters
[in]ctlControl structure containing gas, window, cloud, and surface setup information.
[in]idxQuantity index (see IDXP, IDXT, IDXQ, IDXK, etc.).
[out]quantityCharacter buffer to receive the descriptive quantity name (e.g., "PRESSURE", "H2O", "CLOUD_HEIGHT", "SURFACE_EMISSIVITY_1000.0").
Note
The function writes directly to quantity using sprintf(). The caller must ensure sufficient buffer size (≥ LEN).
See also
ctl_t, IDXP, IDXT, IDXQ, IDXK, IDXCLZ, IDXCLDZ, IDXCLK, IDXSFT, IDXSFEPS
Author
Lars Hoffmann

Definition at line 3952 of file jurassic.c.

3955 {
3956
3957 if (idx == IDXP)
3958 sprintf(quantity, "PRESSURE");
3959
3960 if (idx == IDXT)
3961 sprintf(quantity, "TEMPERATURE");
3962
3963 for (int ig = 0; ig < ctl->ng; ig++)
3964 if (idx == IDXQ(ig))
3965 sprintf(quantity, "%s", ctl->emitter[ig]);
3966
3967 for (int iw = 0; iw < ctl->nw; iw++)
3968 if (idx == IDXK(iw))
3969 sprintf(quantity, "EXTINCT_WINDOW_%d", iw);
3970
3971 if (idx == IDXCLZ)
3972 sprintf(quantity, "CLOUD_HEIGHT");
3973
3974 if (idx == IDXCLDZ)
3975 sprintf(quantity, "CLOUD_DEPTH");
3976
3977 for (int icl = 0; icl < ctl->ncl; icl++)
3978 if (idx == IDXCLK(icl))
3979 sprintf(quantity, "CLOUD_EXTINCT_%.4f", ctl->clnu[icl]);
3980
3981 if (idx == IDXSFT)
3982 sprintf(quantity, "SURFACE_TEMPERATURE");
3983
3984 for (int isf = 0; isf < ctl->nsf; isf++)
3985 if (idx == IDXSFEPS(isf))
3986 sprintf(quantity, "SURFACE_EMISSIVITY_%.4f", ctl->sfnu[isf]);
3987}
double sfnu[NSF]
Surface layer wavenumber [cm^-1].
Definition: jurassic.h:1338
double clnu[NCL]
Cloud layer wavenumber [cm^-1].
Definition: jurassic.h:1332

◆ init_srcfunc()

void init_srcfunc ( const ctl_t ctl,
tbl_t tbl 
)

Initialize source function lookup tables from emissivity data.

This function computes channel-dependent source function lookup tables based on the spectral filter functions and the Planck function. For each spectral channel, the Planck radiance is integrated over the corresponding filter function and stored as a function of temperature.

The resulting source function table represents the band-integrated thermal emission associated with the emissivity lookup tables and is later used in radiative transfer calculations.

The temperature grid is uniformly sampled between TMIN and TMAX with TBLNS points. The spectral integration is performed on the finest frequency spacing present in the filter function.

Parameters
[in]ctlPointer to the control structure defining the number of channels and their central wavenumbers.
[in,out]tblPointer to the lookup-table structure in which the source function tables and temperature grid are stored.
Note
The computation is parallelized over temperature grid points using OpenMP.
The source function is normalized by the integral of the filter function to yield a band-averaged Planck radiance.
Author
Lars Hoffmann

Definition at line 3991 of file jurassic.c.

3993 {
3994
3995 /* Write info... */
3996 LOG(1, "Initialize source function table...");
3997 LOG(2, "Number of data points: %d", TBLNS);
3998
3999 /* Loop over channels... */
4000 for (int id = 0; id < ctl->nd; id++) {
4001
4002 /* Get minimum grid spacing... */
4003 double dnu = 1.0;
4004 for (int i = 1; i < tbl->filt_n[id]; i++)
4005 dnu = MIN(dnu, tbl->filt_nu[id][i] - tbl->filt_nu[id][i - 1]);
4006
4007 /* Compute source function table... */
4008#pragma omp parallel for default(none) shared(ctl,tbl,id,dnu)
4009 for (int it = 0; it < TBLNS; it++) {
4010
4011 /* Set temperature... */
4012 tbl->st[it] = LIN(0.0, TMIN, TBLNS - 1.0, TMAX, (double) it);
4013
4014 /* Integrate Planck function... */
4015 double fsum = tbl->sr[it][id] = 0;
4016 for (double fnu = tbl->filt_nu[id][0];
4017 fnu <= tbl->filt_nu[id][tbl->filt_n[id] - 1]; fnu += dnu) {
4018 const int i = locate_irr(tbl->filt_nu[id], tbl->filt_n[id], fnu);
4019 const double ff = LIN(tbl->filt_nu[id][i], tbl->filt_f[id][i],
4020 tbl->filt_nu[id][i + 1], tbl->filt_f[id][i + 1],
4021 fnu);
4022 fsum += ff;
4023 tbl->sr[it][id] += ff * PLANCK(tbl->st[it], fnu);
4024 }
4025 tbl->sr[it][id] /= fsum;
4026 }
4027
4028 /* Write info... */
4029 LOG(2,
4030 "channel= %.4f cm^-1 | T= %g ... %g K | B= %g ... %g W/(m^2 sr cm^-1)",
4031 ctl->nu[id], tbl->st[0], tbl->st[TBLNS - 1], tbl->sr[0][id],
4032 tbl->sr[TBLNS - 1][id]);
4033 }
4034}
#define LOG(level,...)
Print a log message with a specified logging level.
Definition: jurassic.h:1123
#define TMAX
Maximum temperature for source function [K].
Definition: jurassic.h:209
#define TMIN
Minimum temperature for source function [K].
Definition: jurassic.h:204
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◆ intpol_atm()

void intpol_atm ( const ctl_t ctl,
const atm_t atm,
const double  z,
double *  p,
double *  t,
double *  q,
double *  k 
)

Interpolate atmospheric state variables at a given altitude.

Computes pressure, temperature, volume mixing ratios, and extinction coefficients at the specified altitude by interpolating between adjacent model levels in the atmospheric profile.

Parameters
[in]ctlControl structure defining the number of gases (ctl_t::ng) and spectral windows (ctl_t::nw).
[in]atmAtmospheric profile providing altitude, pressure, temperature, gas mixing ratios, and extinction data.
[in]zTarget altitude [km].
[out]pInterpolated pressure [hPa].
[out]tInterpolated temperature [K].
[out]qInterpolated gas volume mixing ratios [ppv], length ctl_t::ng.
[out]kInterpolated extinction coefficients [km⁻¹], length ctl_t::nw.
Note
Pressure is interpolated logarithmically using LOGY, while other quantities use linear interpolation (LIN).
See also
ctl_t, atm_t, locate_irr, LIN, LOGY
Author
Lars Hoffmann

Definition at line 4038 of file jurassic.c.

4045 {
4046
4047 /* Get array index... */
4048 const int ip = locate_irr(atm->z, atm->np, z);
4049
4050 /* Interpolate... */
4051 *p = LOGY(atm->z[ip], atm->p[ip], atm->z[ip + 1], atm->p[ip + 1], z);
4052 *t = LIN(atm->z[ip], atm->t[ip], atm->z[ip + 1], atm->t[ip + 1], z);
4053 for (int ig = 0; ig < ctl->ng; ig++)
4054 q[ig] =
4055 LIN(atm->z[ip], atm->q[ig][ip], atm->z[ip + 1], atm->q[ig][ip + 1], z);
4056 for (int iw = 0; iw < ctl->nw; iw++)
4057 k[iw] =
4058 LIN(atm->z[ip], atm->k[iw][ip], atm->z[ip + 1], atm->k[iw][ip + 1], z);
4059}
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◆ intpol_tbl_cga()

void intpol_tbl_cga ( const ctl_t ctl,
const tbl_t tbl,
const los_t los,
const int  ip,
double  tau_path[ND][NG],
double  tau_seg[ND] 
)

Interpolate emissivities and transmittances using the Curtis–Godson approximation (CGA).

Computes gas transmittance along a line-of-sight segment by interpolating precomputed emissivity values from lookup tables. The interpolation is performed in pressure, temperature, and column density space using bilinear (in p, T) and logarithmic (in p) interpolation.

Parameters
[in]ctlControl structure defining number of gases (ctl_t::ng) and channels (ctl_t::nd).
[in]tblEmissivity lookup tables (tbl_t) containing tabulated pressure, temperature, and column density grids.
[in]losLine-of-sight structure providing Curtis–Godson mean parameters and column densities.
[in]ipIndex of the current LOS point.
[in,out]tau_pathPath transmittance array [nd][ng]; updated cumulatively for each gas.
[out]tau_segTotal segment transmittance per channel [nd].
  • Uses pretabulated emissivity data (tbl->eps) for each gas and channel.
  • Applies logarithmic interpolation in pressure (LOGX) and linear interpolation in temperature (LIN).
  • Enforces emissivity limits in the range [0, 1].
  • Returns unity transmittance if data are missing or column density ≤ 0.
See also
ctl_t, tbl_t, los_t, intpol_tbl_eps, LIN, LOGX, locate_irr, locate_reg
Author
Lars Hoffmann

Definition at line 4063 of file jurassic.c.

4069 {
4070
4071 double eps, lnp[NG];
4072
4073 /* Precompute log-pressure... */
4074 for (int ig = 0; ig < ctl->ng; ig++)
4075 lnp[ig] = log(los->cgp[ip][ig]);
4076
4077 /* Loop over channels... */
4078 for (int id = 0; id < ctl->nd; id++) {
4079
4080 /* Initialize... */
4081 tau_seg[id] = 1;
4082
4083 /* Loop over emitters.... */
4084 for (int ig = 0; ig < ctl->ng; ig++) {
4085
4086 /* Check size of table (pressure) and column density... */
4087 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4088 eps = 0;
4089
4090 /* Check transmittance... */
4091 else if (tau_path[id][ig] < 1e-9)
4092 eps = 1;
4093
4094 /* Interpolate... */
4095 else {
4096
4097 /* Determine pressure and temperature indices... */
4098 const int ipr =
4099 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->cgp[ip][ig]);
4100 const int it0 = locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr],
4101 los->cgt[ip][ig]);
4102 const int it1 =
4103 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4104 los->cgt[ip][ig]);
4105
4106 /* Check size of table (temperature and column density)... */
4107 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4108 || tbl->nu[id][ig][ipr][it0] < 2
4109 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4110 || tbl->nu[id][ig][ipr + 1][it1] < 2
4111 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4112 eps = 0;
4113
4114 else {
4115
4116 /* Get emissivities of extended path... */
4117 const double logu = log(los->cgu[ip][ig]);
4118 double eps00 = intpol_tbl_eps(tbl, ig, id, ipr, it0, logu);
4119 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1, logu);
4120 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1, logu);
4121 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1, logu);
4122
4123 /* Interpolate with respect to temperature... */
4124 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4125 tbl->t[id][ig][ipr][it0 + 1], eps01, los->cgt[ip][ig]);
4126 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4127 tbl->t[id][ig][ipr + 1][it1 + 1],
4128 eps11, los->cgt[ip][ig]);
4129
4130 /* Interpolate with respect to log-pressure... */
4131 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4132 tbl->lnp[id][ig][ipr + 1], eps11, lnp[ig]);
4133
4134 /* Check emissivity range... */
4135 eps00 = CLAMP(eps00, 0, 1);
4136
4137 /* Determine segment emissivity... */
4138 eps = 1 - (1 - eps00) / tau_path[id][ig];
4139 }
4140 }
4141
4142 /* Get transmittance of extended path... */
4143 tau_path[id][ig] *= (1 - eps);
4144
4145 /* Get segment transmittance... */
4146 tau_seg[id] *= (1 - eps);
4147 }
4148 }
4149}
double intpol_tbl_eps(const tbl_t *tbl, const int ig, const int id, const int ip, const int it, const double logu)
Interpolate gas emissivity as a function of column amount.
Definition: jurassic.c:4252
#define CLAMP(v, lo, hi)
Clamp a value to a specified range.
Definition: jurassic.h:430
double cgu[NLOS][NG]
Curtis-Godson column density [molecules/cm^2].
Definition: jurassic.h:1505
double cgt[NLOS][NG]
Curtis-Godson temperature [K].
Definition: jurassic.h:1502
double cgp[NLOS][NG]
Curtis-Godson pressure [hPa].
Definition: jurassic.h:1499
double p[ND][NG][TBLNP]
Pressure [hPa].
Definition: jurassic.h:1668
int nu[ND][NG][TBLNP][TBLNT]
Number of column densities.
Definition: jurassic.h:1665
int nt[ND][NG][TBLNP]
Number of temperatures.
Definition: jurassic.h:1662
double t[ND][NG][TBLNP][TBLNT]
Temperature [K].
Definition: jurassic.h:1674
double lnp[ND][NG][TBLNP]
Log-pressure [hPa].
Definition: jurassic.h:1671
int np[ND][NG]
Number of pressure levels.
Definition: jurassic.h:1659
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◆ intpol_tbl_ega()

void intpol_tbl_ega ( const ctl_t ctl,
const tbl_t tbl,
const los_t los,
const int  ip,
double  tau_path[ND][NG],
double  tau_seg[ND] 
)

Interpolate emissivities and transmittances using the Emissivity Growth Approximation (EGA).

Computes gas transmittance along a line-of-sight segment by interpolating emissivity values from lookup tables based on the Emissivity Growth Approximation (EGA). The interpolation is performed in pressure, temperature, and effective column density space derived from the local LOS properties.

Parameters
[in]ctlControl structure defining number of gases (ctl_t::ng) and channels (ctl_t::nd).
[in]tblEmissivity lookup tables (tbl_t) containing tabulated pressure, temperature, and column density grids.
[in]losLine-of-sight structure providing local pressure, temperature, and column density data.
[in]ipIndex of the current LOS point.
[in,out]tau_pathPath transmittance array [nd][ng]; updated cumulatively for each gas.
[out]tau_segTotal segment transmittance per channel [nd].
  • Uses pretabulated emissivity data (tbl->eps) and performs bilinear interpolation in pressure and temperature.
  • Column density interpolation is handled by intpol_tbl_u according to the emissivity growth relation.
  • Enforces emissivity limits within [0, 1].
  • Returns unity transmittance if lookup data are invalid or column density ≤ 0.
See also
ctl_t, tbl_t, los_t, intpol_tbl_u, intpol_tbl_eps, LIN, locate_irr, locate_reg
Note
Implements the EGA variant of the forward model, selected when ctl_t::formod = 1.
Author
Lars Hoffmann

Definition at line 4153 of file jurassic.c.

4159 {
4160
4161 const double lnp = log(los->p[ip]);
4162
4163 double eps, u;
4164
4165 /* Loop over channels... */
4166 for (int id = 0; id < ctl->nd; id++) {
4167
4168 /* Initialize... */
4169 tau_seg[id] = 1;
4170
4171 /* Loop over emitters.... */
4172 for (int ig = 0; ig < ctl->ng; ig++) {
4173
4174 /* Check size of table (pressure) and column density... */
4175 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4176 eps = 0;
4177
4178 /* Check transmittance... */
4179 else if (tau_path[id][ig] < 1e-9)
4180 eps = 1;
4181
4182 /* Interpolate... */
4183 else {
4184
4185 /* Determine pressure and temperature indices... */
4186 const int ipr =
4187 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->p[ip]);
4188 const int it0 =
4189 locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr], los->t[ip]);
4190 const int it1 =
4191 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4192 los->t[ip]);
4193
4194 /* Check size of table (temperature and column density)... */
4195 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4196 || tbl->nu[id][ig][ipr][it0] < 2
4197 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4198 || tbl->nu[id][ig][ipr + 1][it1] < 2
4199 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4200 eps = 0;
4201
4202 else {
4203
4204 /* Get emissivities of extended path... */
4205 const double logeps = log(1.0 - tau_path[id][ig]);
4206
4207 u = intpol_tbl_u(tbl, ig, id, ipr, it0, logeps);
4208 double eps00
4209 = intpol_tbl_eps(tbl, ig, id, ipr, it0, log(u + los->u[ip][ig]));
4210
4211 u = intpol_tbl_u(tbl, ig, id, ipr, it0 + 1, logeps);
4212 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1,
4213 log(u + los->u[ip][ig]));
4214
4215 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1, logeps);
4216 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1,
4217 log(u + los->u[ip][ig]));
4218
4219 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1 + 1, logeps);
4220 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1,
4221 log(u + los->u[ip][ig]));
4222
4223 /* Interpolate with respect to temperature... */
4224 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4225 tbl->t[id][ig][ipr][it0 + 1], eps01, los->t[ip]);
4226 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4227 tbl->t[id][ig][ipr + 1][it1 + 1], eps11, los->t[ip]);
4228
4229 /* Interpolate with respect to log-pressure... */
4230 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4231 tbl->lnp[id][ig][ipr + 1], eps11, lnp);
4232
4233 /* Check emissivity range... */
4234 eps00 = CLAMP(eps00, 0, 1);
4235
4236 /* Determine segment emissivity... */
4237 eps = 1 - (1 - eps00) / tau_path[id][ig];
4238 }
4239 }
4240
4241 /* Get transmittance of extended path... */
4242 tau_path[id][ig] *= (1 - eps);
4243
4244 /* Get segment transmittance... */
4245 tau_seg[id] *= (1 - eps);
4246 }
4247 }
4248}
double intpol_tbl_u(const tbl_t *tbl, const int ig, const int id, const int ip, const int it, const double logeps)
Interpolate column amount as a function of emissivity.
Definition: jurassic.c:4297
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◆ intpol_tbl_eps()

double intpol_tbl_eps ( const tbl_t tbl,
const int  ig,
const int  id,
const int  ip,
const int  it,
const double  logu 
)
inline

Interpolate gas emissivity as a function of column amount.

Computes emissivity \(\varepsilon(u)\) from tabulated data using linear interpolation in \(\log u\)– \(\log\varepsilon\) space. The input column amount must be provided as \(\log(u)\).

Behavior:

  • For \(u < u_{\min}\), emissivity scales linearly with column amount.
  • For \(u > u_{\max}\), emissivity asymptotically approaches unity using an exponential tail matched at \((u_{\max}, \varepsilon_{\max})\).

The implementation uses log1p/expm1 for numerical stability and minimizes conversions between linear and logarithmic space.

Parameters
tblLookup table structure.
igGas index.
idSpectral/channel index.
ipPressure index.
itTemperature index.
loguNatural logarithm of the column amount [molecules/cm²].
Returns
Emissivity in the range \([0,1]\).
Author
Lars Hoffmann

Definition at line 4252 of file jurassic.c.

4258 {
4259
4260 const int nu = tbl->nu[id][ig][ip][it];
4261 const float *logu_arr = tbl->logu[id][ig][ip][it];
4262 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4263
4264 /* Work in log-space and only convert back when needed... */
4265 const double logu_min = (double) logu_arr[0];
4266 const double logu_max = (double) logu_arr[nu - 1];
4267
4268 /* Lower boundary extrapolation (u < u_min)...
4269 eps ~ eps_min * u/u_min => log(eps) = logeps_min + log(u) - log(u_min) */
4270 if (logu < logu_min) {
4271 const double logeps_min = (double) logeps_arr[0];
4272 return exp(logeps_min + logu - logu_min);
4273 }
4274
4275 /* Upper boundary extrapolation (u > u_max)...
4276 * Assume eps(u) approaches 1 exponentially:
4277 * eps(u) = 1 - exp(a * u), a < 0
4278 * Continuity at (u_max, eps_max) gives
4279 * a = log(1 - eps_max) / u_max.
4280 * Use log1p/expm1 and u/u_max = exp(log(u) - log(u_max)) for stability.
4281 */
4282 if (logu > logu_max) {
4283 const double eps_max = exp((double) logeps_arr[nu - 1]);
4284 const double l1m_eps_max = log1p(-eps_max);
4285 const double r = exp(logu - logu_max);
4286 return -expm1(l1m_eps_max * r);
4287 }
4288
4289 /* Interpolation (log-log using precomputed logs)... */
4290 const int idx = locate_tbl(logu_arr, nu, logu);
4291 return exp(LIN(logu_arr[idx], logeps_arr[idx],
4292 logu_arr[idx + 1], logeps_arr[idx + 1], logu));
4293}
int locate_tbl(const float *xx, const int n, const double x)
Locate index for interpolation within emissivity table grids.
Definition: jurassic.c:4520
float * logu[ND][NG][TBLNP][TBLNT]
Logarithm of column density [molecules/cm^2].
Definition: jurassic.h:1677
float * logeps[ND][NG][TBLNP][TBLNT]
Logarithm of emissivity.
Definition: jurassic.h:1680
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◆ intpol_tbl_u()

double intpol_tbl_u ( const tbl_t tbl,
const int  ig,
const int  id,
const int  ip,
const int  it,
const double  logeps 
)
inline

Interpolate column amount as a function of emissivity.

Computes the column amount \(u(\varepsilon)\) from tabulated data using linear interpolation in \(\log\varepsilon\)– \(\log u\) space. The emissivity must be provided as \(\log(\varepsilon)\) together with \(\log(1-\varepsilon)\).

Behavior:

  • For \(\varepsilon < \varepsilon_{\min}\), column amount scales linearly with emissivity.
  • For \(\varepsilon > \varepsilon_{\max}\), the exponential tail used in intpol_tbl_eps() is analytically inverted.

The implementation operates primarily in log-space and uses log1p for numerical stability near \(\varepsilon \rightarrow 1\).

Parameters
tblLookup table structure.
igGas index.
idSpectral/channel index.
ipPressure index.
itTemperature index.
logepsNatural logarithm of emissivity ( \(\log\varepsilon\)).
Returns
Column amount \(u\).
See also
intpol_tbl_eps
Author
Lars Hoffmann

Definition at line 4297 of file jurassic.c.

4303 {
4304
4305 const int nu = tbl->nu[id][ig][ip][it];
4306 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4307 const float *logu_arr = tbl->logu[id][ig][ip][it];
4308
4309 /* Work in log-space and only convert back when needed.... */
4310 const double logeps_min = (double) logeps_arr[0];
4311 const double logeps_max = (double) logeps_arr[nu - 1];
4312
4313 /* Lower boundary extrapolation (eps < eps_min)...
4314 u ~ u_min * eps/eps_min => log(u) = log(u_min) + log(eps) - log(eps_min) */
4315 if (logeps < logeps_min) {
4316 const double logu_min = (double) logu_arr[0];
4317 return exp(logu_min + logeps - logeps_min);
4318 }
4319
4320 /* Upper boundary extrapolation (eps > eps_max):
4321 * Invert the exponential tail used for eps(u):
4322 * u = log(1 - eps) / a,
4323 * with a = log(1 - eps_max) / u_max.
4324 * Rewritten as
4325 * u = u_max * log(tau) / log(1 - eps_max)
4326 * for numerical stability (log1p).
4327 */
4328 if (logeps > logeps_max) {
4329 const double u_max = exp((double) logu_arr[nu - 1]);
4330 const double l1m_eps_max = log1p(-exp(logeps_max));
4331 const double logtau = log1p(-exp(logeps));
4332 return u_max * (logtau / l1m_eps_max);
4333 }
4334
4335 /* Interpolation (log-log using precomputed logs)... */
4336 const int idx = locate_tbl(logeps_arr, nu, logeps);
4337 return exp(LIN(logeps_arr[idx], logu_arr[idx],
4338 logeps_arr[idx + 1], logu_arr[idx + 1], logeps));
4339}
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◆ jsec2time()

void jsec2time ( const double  jsec,
int *  year,
int *  mon,
int *  day,
int *  hour,
int *  min,
int *  sec,
double *  remain 
)

Converts Julian seconds to calendar date and time components.

This function converts Julian seconds to calendar date and time components, including year, month, day, hour, minute, and second. It also calculates the fractional part of the seconds.

Parameters
jsecJulian seconds to convert.
yearPointer to store the year.
monPointer to store the month.
dayPointer to store the day.
hourPointer to store the hour.
minPointer to store the minute.
secPointer to store the second.
remainPointer to store the fractional part of seconds.

The function initializes a time structure t0 with a fixed starting date and time. It then converts the Julian seconds to a time_t type by adding the seconds to the epoch time. Next, it converts the time_t value to a UTC time structure t1. Finally, it extracts the year, month, day, hour, minute, and second components from t1 and calculates the fractional part of seconds, which is stored in remain.

Author
Lars Hoffmann

Definition at line 4343 of file jurassic.c.

4351 {
4352
4353 struct tm t0, *t1;
4354
4355 t0.tm_year = 100;
4356 t0.tm_mon = 0;
4357 t0.tm_mday = 1;
4358 t0.tm_hour = 0;
4359 t0.tm_min = 0;
4360 t0.tm_sec = 0;
4361
4362 const time_t jsec0 = (time_t) jsec + timegm(&t0);
4363 t1 = gmtime(&jsec0);
4364
4365 *year = t1->tm_year + 1900;
4366 *mon = t1->tm_mon + 1;
4367 *day = t1->tm_mday;
4368 *hour = t1->tm_hour;
4369 *min = t1->tm_min;
4370 *sec = t1->tm_sec;
4371 *remain = jsec - floor(jsec);
4372}

◆ kernel()

void kernel ( const ctl_t ctl,
const tbl_t tbl,
atm_t atm,
obs_t obs,
gsl_matrix *  k 
)

Compute the Jacobian (kernel) matrix by finite differences.

Evaluates the sensitivity of the simulated radiances to each element of the atmospheric state vector by perturbing one parameter at a time and re-running the forward model. The result is the Jacobian matrix \( K = \partial y / \partial x \), where y is the measurement vector and x is the state vector.

Parameters
[in]ctlControl structure defining retrieval configuration and model setup.
[in]tblEmissivity lookup tables used by the forward model.
[in]atmAtmospheric state vector and profile data.
[in]obsObservation geometry and radiance data.
[out]kJacobian matrix [m×n], where m is the number of measurements and n the number of state variables.
  • The undisturbed forward model is first computed to obtain the reference measurement vector.
  • Each state vector element is perturbed by an adaptive step h depending on its physical type (pressure, temperature, VMR, etc.).
  • For each perturbation, the forward model is re-evaluated, and the corresponding column of K is estimated using finite differences.
  • Parallelized over state vector elements using OpenMP.
Note
Typical perturbation sizes:
  • Pressure: 1 % or ≥ 1e–7 hPa
  • Temperature: 1 K
  • VMR: 1 % or ≥ 1e–15
  • Extinction: 1e–4 km⁻¹
  • Cloud and surface parameters: 1 K or 1e–2 as appropriate.
See also
ctl_t, tbl_t, atm_t, obs_t, formod, x2atm, atm2x, obs2y, copy_atm, copy_obs
Warning
Computationally intensive; requires one forward model evaluation per state vector element.
Author
Lars Hoffmann

Definition at line 4376 of file jurassic.c.

4381 {
4382
4383 int *iqa;
4384
4385 /* Get sizes... */
4386 const size_t m = k->size1;
4387 const size_t n = k->size2;
4388
4389 /* Allocate... */
4390 gsl_vector *x0 = gsl_vector_alloc(n);
4391 gsl_vector *yy0 = gsl_vector_alloc(m);
4392 ALLOC(iqa, int,
4393 N);
4394
4395 /* Compute radiance for undisturbed atmospheric data... */
4396 formod(ctl, tbl, atm, obs);
4397
4398 /* Compose vectors... */
4399 atm2x(ctl, atm, x0, iqa, NULL);
4400 obs2y(ctl, obs, yy0, NULL, NULL);
4401
4402 /* Initialize kernel matrix... */
4403 gsl_matrix_set_zero(k);
4404
4405 /* Loop over state vector elements... */
4406#pragma omp parallel for default(none) shared(ctl,tbl,atm,obs,k,x0,yy0,n,m,iqa)
4407 for (size_t j = 0; j < n; j++) {
4408
4409 /* Allocate... */
4410 atm_t *atm1;
4411 obs_t *obs1;
4412 ALLOC(atm1, atm_t, 1);
4413 ALLOC(obs1, obs_t, 1);
4414 gsl_vector *x1 = gsl_vector_alloc(n);
4415 gsl_vector *yy1 = gsl_vector_alloc(m);
4416
4417 /* Set perturbation size... */
4418 double h;
4419 if (iqa[j] == IDXP)
4420 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-7);
4421 else if (iqa[j] == IDXT)
4422 h = 1.0;
4423 else if (iqa[j] >= IDXQ(0) && iqa[j] < IDXQ(ctl->ng))
4424 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-15);
4425 else if (iqa[j] >= IDXK(0) && iqa[j] < IDXK(ctl->nw))
4426 h = 1e-4;
4427 else if (iqa[j] == IDXCLZ || iqa[j] == IDXCLDZ)
4428 h = 1.0;
4429 else if (iqa[j] >= IDXCLK(0) && iqa[j] < IDXCLK(ctl->ncl))
4430 h = 1e-4;
4431 else if (iqa[j] == IDXSFT)
4432 h = 1.0;
4433 else if (iqa[j] >= IDXSFEPS(0) && iqa[j] < IDXSFEPS(ctl->nsf))
4434 h = 1e-2;
4435 else
4436 ERRMSG("Cannot set perturbation size!");
4437
4438 /* Disturb state vector element... */
4439 gsl_vector_memcpy(x1, x0);
4440 gsl_vector_set(x1, j, gsl_vector_get(x1, j) + h);
4441 copy_atm(ctl, atm1, atm, 0);
4442 copy_obs(ctl, obs1, obs, 0);
4443 x2atm(ctl, x1, atm1);
4444
4445 /* Compute radiance for disturbed atmospheric data... */
4446 formod(ctl, tbl, atm1, obs1);
4447
4448 /* Compose measurement vector for disturbed radiance data... */
4449 obs2y(ctl, obs1, yy1, NULL, NULL);
4450
4451 /* Compute derivatives... */
4452 for (size_t i = 0; i < m; i++)
4453 gsl_matrix_set(k, i, j,
4454 (gsl_vector_get(yy1, i) - gsl_vector_get(yy0, i)) / h);
4455
4456 /* Free... */
4457 gsl_vector_free(x1);
4458 gsl_vector_free(yy1);
4459 free(atm1);
4460 free(obs1);
4461 }
4462
4463 /* Free... */
4464 gsl_vector_free(x0);
4465 gsl_vector_free(yy0);
4466 free(iqa);
4467}
void x2atm(const ctl_t *ctl, const gsl_vector *x, atm_t *atm)
Map retrieval state vector back to atmospheric structure.
Definition: jurassic.c:8201
void formod(const ctl_t *ctl, const tbl_t *tbl, atm_t *atm, obs_t *obs)
Execute the selected forward model.
Definition: jurassic.c:3407
size_t obs2y(const ctl_t *ctl, const obs_t *obs, gsl_vector *y, int *ida, int *ira)
Convert observation radiances into a measurement vector.
Definition: jurassic.c:4617
size_t atm2x(const ctl_t *ctl, const atm_t *atm, gsl_vector *x, int *iqa, int *ipa)
Convert atmospheric data to state vector elements.
Definition: jurassic.c:110
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◆ locate_irr()

int locate_irr ( const double *  xx,
const int  n,
const double  x 
)

Locate index for interpolation on an irregular grid.

Finds the lower index ilo such that \( xx[ilo] \le x < xx[ilo+1] \) for monotonically increasing or decreasing grids.
Used in interpolation routines for altitude, pressure, temperature, or wavenumber profiles that are not evenly spaced.

Parameters
[in]xxArray of monotonic grid values (increasing or decreasing).
[in]nNumber of grid points.
[in]xTarget value to locate within the grid range.
Returns
Index ilo of the lower grid point surrounding x.
  • Uses a binary search algorithm with \( O(\log n) \) complexity.
  • Handles both increasing and decreasing grids automatically.
  • Returns the index of the lower neighbor suitable for use in interpolation routines such as LIN, LOGX, or LOGY.
See also
LIN, LOGX, LOGY, locate_reg, locate_tbl
Warning
Assumes x lies within the range of xx; no bounds checking beyond the first and last grid points is performed.
Author
Lars Hoffmann

Definition at line 4471 of file jurassic.c.

4474 {
4475
4476 int ilo = 0;
4477 int ihi = n - 1;
4478 int i = (ihi + ilo) >> 1;
4479
4480 if (xx[i] < xx[i + 1])
4481 while (ihi > ilo + 1) {
4482 i = (ihi + ilo) >> 1;
4483 if (xx[i] > x)
4484 ihi = i;
4485 else
4486 ilo = i;
4487 } else
4488 while (ihi > ilo + 1) {
4489 i = (ihi + ilo) >> 1;
4490 if (xx[i] <= x)
4491 ihi = i;
4492 else
4493 ilo = i;
4494 }
4495
4496 return ilo;
4497}

◆ locate_reg()

int locate_reg ( const double *  xx,
const int  n,
const double  x 
)

Locate index for interpolation on a regular (uniform) grid.

Computes the lower index i such that \( xx[i] \le x < xx[i+1] \) for evenly spaced grid points. Used for quick index lookup when the grid spacing is constant.

Parameters
[in]xxArray of regularly spaced grid values.
[in]nNumber of grid points.
[in]xTarget value to locate within the grid range.
Returns
Index i of the lower grid point surrounding x.
  • Computes the index directly from the grid spacing using \( i = (x - xx_0) / (xx_1 - xx_0) \).
  • Clamps the result to [0, n - 2] to avoid out-of-bounds indices.
  • Suitable for use with uniform grids such as pressure, temperature, or wavelength tables.
See also
locate_irr, locate_tbl, LIN, LOGX, LOGY
Warning
Assumes uniform grid spacing; results are invalid for irregularly spaced arrays.
Author
Lars Hoffmann

Definition at line 4501 of file jurassic.c.

4504 {
4505
4506 /* Calculate index... */
4507 const int i = (int) ((x - xx[0]) / (xx[1] - xx[0]));
4508
4509 /* Check range... */
4510 if (i < 0)
4511 return 0;
4512 else if (i > n - 2)
4513 return n - 2;
4514 else
4515 return i;
4516}

◆ locate_tbl()

int locate_tbl ( const float *  xx,
const int  n,
const double  x 
)
inline

Locate index for interpolation within emissivity table grids.

Finds the lower index ilo such that \( xx[ilo] \le x < xx[ilo+1] \) in a monotonically increasing single-precision grid.
Used for emissivity and column density interpolation in table-based routines such as intpol_tbl_eps and intpol_tbl_u.

Parameters
[in]xxMonotonic (increasing) single-precision grid array.
[in]nNumber of grid points.
[in]xTarget value to locate within the grid range.
Returns
Index ilo of the lower grid point surrounding x.
  • Implements a binary search with \( O(\log n) \) complexity.
  • Optimized for lookup tables stored in float to minimize memory use.
  • Returns an index suitable for linear interpolation with LIN.
See also
intpol_tbl_eps, intpol_tbl_u, LIN, locate_irr, locate_reg
Warning
Assumes monotonic grid input (increasing order) and that x lies within the table range.
Author
Lars Hoffmann

Definition at line 4520 of file jurassic.c.

4523 {
4524
4525 int ilo = 0;
4526 int ihi = n - 1;
4527 int i = (ihi + ilo) >> 1;
4528
4529 while (ihi > ilo + 1) {
4530 i = (ihi + ilo) >> 1;
4531 if (xx[i] > x)
4532 ihi = i;
4533 else
4534 ilo = i;
4535 }
4536
4537 return ilo;
4538}

◆ matrix_invert()

void matrix_invert ( gsl_matrix *  a)

Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices.

Performs in-place inversion of the matrix \(\mathbf{A}\) using either:

  • Fast diagonal inversion, if the matrix is strictly diagonal.
  • Cholesky decomposition, if the matrix is full and symmetric positive-definite.
Parameters
[in,out]aSquare matrix (gsl_matrix) to be inverted in place.

The function first checks whether the input matrix is diagonal by testing all off-diagonal elements. If diagonal, each diagonal element \(a_{ii}\) is replaced by its reciprocal \(1/a_{ii}\).

For non-diagonal matrices, a Cholesky decomposition is performed:

\[ \mathbf{A} = \mathbf{L}\mathbf{L}^T \]

followed by inversion using the Cholesky factors, yielding \(\mathbf{A}^{-1}\).

This approach assumes \(\mathbf{A}\) is symmetric and positive-definite.

See also
gsl_linalg_cholesky_decomp, gsl_linalg_cholesky_invert
Note
  • The inversion is performed in place; the input matrix is overwritten.
  • No explicit symmetry or definiteness checks are performed — invalid input may result in numerical instability or GSL errors.
  • Diagonal detection assumes exact zeros for off-diagonal elements.
Warning
For ill-conditioned matrices, consider using singular value decomposition (SVD) or regularization methods instead of direct inversion.
Author
Lars Hoffmann

Definition at line 4542 of file jurassic.c.

4543 {
4544
4545 size_t diag = 1;
4546
4547 /* Get size... */
4548 const size_t n = a->size1;
4549
4550 /* Check if matrix is diagonal... */
4551 for (size_t i = 0; i < n && diag; i++)
4552 for (size_t j = i + 1; j < n; j++)
4553 if (gsl_matrix_get(a, i, j) != 0) {
4554 diag = 0;
4555 break;
4556 }
4557
4558 /* Quick inversion of diagonal matrix... */
4559 if (diag)
4560 for (size_t i = 0; i < n; i++)
4561 gsl_matrix_set(a, i, i, 1 / gsl_matrix_get(a, i, i));
4562
4563 /* Matrix inversion by means of Cholesky decomposition... */
4564 else {
4565 gsl_linalg_cholesky_decomp(a);
4566 gsl_linalg_cholesky_invert(a);
4567 }
4568}

◆ matrix_product()

void matrix_product ( const gsl_matrix *  a,
const gsl_vector *  b,
const int  transpose,
gsl_matrix *  c 
)

Compute structured matrix products of the form \(A^T B A\) or \(A B A^T\).

Evaluates matrix products commonly used in covariance propagation and optimal estimation, depending on the specified transpose mode:

  • transpose = 1 → computes \(\mathbf{A}^T \mathbf{B} \mathbf{A}\)
  • transpose = 2 → computes \(\mathbf{A} \mathbf{B} \mathbf{A}^T\)

The vector \(\mathbf{b}\) represents the diagonal elements of \(\mathbf{B}\), i.e. a diagonal weighting or covariance matrix.

Parameters
[in]aInput matrix \(\mathbf{A}\) (size m×n).
[in]bVector representing the diagonal of \(\mathbf{B}\) (length m or n).
[in]transposeOperation selector:
  • 1 → compute \(A^T B A\)
  • 2 → compute \(A B A^T\)
[out]cOutput matrix to store the resulting product.
  • The function internally forms the scaled matrix \((B^{1/2} A)\) or \((A B^{1/2})\), then multiplies it using BLAS dgemm routines for efficiency:

    \[ A^T B A = (B^{1/2}A)^T (B^{1/2}A), \quad A B A^T = (A B^{1/2}) (A B^{1/2})^T \]

  • The input matrix \(\mathbf{A}\) is not modified.
  • This operation is typically used in computing gain matrices, propagated covariances, or sensitivity matrices in retrieval algorithms.
See also
gsl_blas_dgemm, matrix_invert
Note
  • Assumes \(\mathbf{B}\) is diagonal (provided as a vector of its diagonal elements).
  • The output matrix \(\mathbf{C}\) must be pre-allocated to the correct size.
  • No symmetry enforcement or normalization is applied.
Warning
  • If transpose is not 1 or 2, the function performs no operation.
  • Numerical stability depends on the conditioning of A and the scaling of B.
Author
Lars Hoffmann

Definition at line 4572 of file jurassic.c.

4576 {
4577
4578 /* Set sizes... */
4579 const size_t m = a->size1;
4580 const size_t n = a->size2;
4581
4582 /* Allocate... */
4583 gsl_matrix *aux = gsl_matrix_alloc(m, n);
4584
4585 /* Compute A^T B A... */
4586 if (transpose == 1) {
4587
4588 /* Compute B^1/2 A... */
4589 for (size_t i = 0; i < m; i++)
4590 for (size_t j = 0; j < n; j++)
4591 gsl_matrix_set(aux, i, j,
4592 gsl_vector_get(b, i) * gsl_matrix_get(a, i, j));
4593
4594 /* Compute A^T B A = (B^1/2 A)^T (B^1/2 A)... */
4595 gsl_blas_dgemm(CblasTrans, CblasNoTrans, 1.0, aux, aux, 0.0, c);
4596 }
4597
4598 /* Compute A B A^T... */
4599 else if (transpose == 2) {
4600
4601 /* Compute A B^1/2... */
4602 for (size_t i = 0; i < m; i++)
4603 for (size_t j = 0; j < n; j++)
4604 gsl_matrix_set(aux, i, j,
4605 gsl_matrix_get(a, i, j) * gsl_vector_get(b, j));
4606
4607 /* Compute A B A^T = (A B^1/2) (A B^1/2)^T... */
4608 gsl_blas_dgemm(CblasNoTrans, CblasTrans, 1.0, aux, aux, 0.0, c);
4609 }
4610
4611 /* Free... */
4612 gsl_matrix_free(aux);
4613}

◆ obs2y()

size_t obs2y ( const ctl_t ctl,
const obs_t obs,
gsl_vector *  y,
int *  ida,
int *  ira 
)

Convert observation radiances into a measurement vector.

Extracts all finite radiance values from the observation structure and stores them sequentially in a GSL vector.
Optionally records detector (id) and ray path (ir) indices for each measurement element.

Parameters
[in]ctlControl structure containing observation setup (e.g. number of detectors).
[in]obsObservation data structure containing radiances.
[out]yMeasurement vector to store radiances (may be NULL).
[out]idaOptional array to store detector indices (may be NULL).
[out]iraOptional array to store ray path indices (may be NULL).
Returns
Number of valid (finite) radiance values added to the vector.
  • Loops over all detector channels (nd) and ray paths (nr).
  • Skips non-finite (NaN or Inf) radiance values.
  • Produces a compact measurement vector for use in retrievals and Jacobian computations.
See also
atm2x, x2atm, kernel, formod
Warning
Arrays ida and ira must be preallocated with sufficient size to hold all finite radiances if provided.
Author
Lars Hoffmann

Definition at line 4617 of file jurassic.c.

4622 {
4623
4624 size_t m = 0;
4625
4626 /* Determine measurement vector... */
4627 for (int ir = 0; ir < obs->nr; ir++)
4628 for (int id = 0; id < ctl->nd; id++)
4629 if (isfinite(obs->rad[id][ir])) {
4630 if (y != NULL)
4631 gsl_vector_set(y, m, obs->rad[id][ir]);
4632 if (ida != NULL)
4633 ida[m] = id;
4634 if (ira != NULL)
4635 ira[m] = ir;
4636 m++;
4637 }
4638
4639 return m;
4640}

◆ optimal_estimation()

void optimal_estimation ( ret_t ret,
ctl_t ctl,
tbl_t tbl,
obs_t obs_meas,
obs_t obs_i,
atm_t atm_apr,
atm_t atm_i,
double *  chisq 
)

Perform optimal estimation retrieval using Levenberg–Marquardt minimization.

This function performs an optimal estimation of atmospheric state variables based on measured observations, a priori information, and forward radiative transfer modeling. The estimation follows the Rodgers (2000) formalism and uses a Levenberg–Marquardt algorithm to iteratively minimize the cost function:

χ² = (x - x_a)^T S_a⁻¹ (x - x_a) + (y - F(x))^T S_ε⁻¹ (y - F(x)),

where x is the atmospheric state vector, x_a is its a priori estimate, S_a is the a priori covariance matrix, y is the measurement vector, F(x) is the forward model, and S_ε is the measurement error covariance.

The routine updates the atmospheric state until convergence criteria are met or the maximum number of iterations is reached. Optionally, the full retrieval error budget and averaging kernel analysis are computed.

Parameters
[out]retRetrieval configuration and output container. Determines convergence, kernel recomputation frequency, and error analysis options.
[in]ctlControl parameters describing problem setup (grids, species, etc.).
[in]tblLookup tables required by the forward model.
[in]obs_measMeasured observations used as input.
[out]obs_iIntermediate and final modeled observations corresponding to the retrieved state.
[in]atm_aprA priori atmospheric state used as reference.
[out]atm_iAtmospheric state vector to be iteratively retrieved and updated.
[out]chisqFinal value of the cost function (χ²) upon convergence.
Note
  • Aborts early if the problem dimension is zero (no observations or unknowns).
  • State updates are constrained to physically meaningful bounds (pressure, temperature, etc.).
  • Matrix computations are performed using GSL (GNU Scientific Library).
  • If retrieval error analysis is enabled (ret->err_ana), the function produces:
    • Retrieval covariance matrix
    • Error decomposition (noise, forward model)
    • Gain matrix
    • Averaging kernel matrix and diagnostic analysis
Warning
Input structures must be properly initialized. The function allocates several GSL matrices and vectors, all of which are freed before returning. The caller is responsible only for memory outside this function.
See also
formod(), cost_function(), analyze_avk(), set_cov_apr(), set_cov_meas()
Reference
Rodgers, C. D. (2000). Inverse Methods for Atmospheric Sounding: Theory and Practice.
Author
Lars Hoffmann

Definition at line 4644 of file jurassic.c.

4652 {
4653
4654 static int ipa[N], iqa[N];
4655
4656 double disq = 0, lmpar = 0.001;
4657
4658 /* ------------------------------------------------------------
4659 Initialize...
4660 ------------------------------------------------------------ */
4661
4662 /* Get sizes... */
4663 const size_t m = obs2y(ctl, obs_meas, NULL, NULL, NULL);
4664 const size_t n = atm2x(ctl, atm_apr, NULL, iqa, ipa);
4665 if (m == 0 || n == 0) {
4666 WARN("Check problem definition (m = 0 or n = 0)!");
4667 *chisq = GSL_NAN;
4668 return;
4669 }
4670
4671 /* Allocate... */
4672 gsl_matrix *a = gsl_matrix_alloc(n, n);
4673 gsl_matrix *cov = gsl_matrix_alloc(n, n);
4674 gsl_matrix *k_i = gsl_matrix_alloc(m, n);
4675 gsl_matrix *s_a_inv = gsl_matrix_alloc(n, n);
4676
4677 gsl_vector *b = gsl_vector_alloc(n);
4678 gsl_vector *dx = gsl_vector_alloc(n);
4679 gsl_vector *dy = gsl_vector_alloc(m);
4680 gsl_vector *sig_eps_inv = gsl_vector_alloc(m);
4681 gsl_vector *sig_formod = gsl_vector_alloc(m);
4682 gsl_vector *sig_noise = gsl_vector_alloc(m);
4683 gsl_vector *x_a = gsl_vector_alloc(n);
4684 gsl_vector *x_i = gsl_vector_alloc(n);
4685 gsl_vector *x_step = gsl_vector_alloc(n);
4686 gsl_vector *y_aux = gsl_vector_alloc(m);
4687 gsl_vector *y_i = gsl_vector_alloc(m);
4688 gsl_vector *y_m = gsl_vector_alloc(m);
4689
4690 /* Set initial state... */
4691 copy_atm(ctl, atm_i, atm_apr, 0);
4692 copy_obs(ctl, obs_i, obs_meas, 0);
4693 formod(ctl, tbl, atm_i, obs_i);
4694
4695 /* Set state vectors and observation vectors... */
4696 atm2x(ctl, atm_apr, x_a, NULL, NULL);
4697 atm2x(ctl, atm_i, x_i, NULL, NULL);
4698 obs2y(ctl, obs_meas, y_m, NULL, NULL);
4699 obs2y(ctl, obs_i, y_i, NULL, NULL);
4700
4701 /* Set inverse a priori covariance S_a^-1... */
4702 set_cov_apr(ret, ctl, atm_apr, iqa, ipa, s_a_inv);
4703 write_matrix(ret->dir, "matrix_cov_apr.tab", ctl, s_a_inv,
4704 atm_i, obs_i, "x", "x", "r");
4705 matrix_invert(s_a_inv);
4706
4707 /* Get measurement errors... */
4708 set_cov_meas(ret, ctl, obs_meas, sig_noise, sig_formod, sig_eps_inv);
4709
4710 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4711 gsl_vector_memcpy(dx, x_i);
4712 gsl_vector_sub(dx, x_a);
4713 gsl_vector_memcpy(dy, y_m);
4714 gsl_vector_sub(dy, y_i);
4715
4716 /* Compute cost function... */
4717 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4718
4719 /* Write info... */
4720 LOG(2, "it= %d / chi^2/m= %g", 0, *chisq);
4721
4722 /* Compute initial kernel... */
4723 kernel(ctl, tbl, atm_i, obs_i, k_i);
4724
4725 /* ------------------------------------------------------------
4726 Levenberg-Marquardt minimization...
4727 ------------------------------------------------------------ */
4728
4729 /* Outer loop... */
4730 for (int it = 1; it <= ret->conv_itmax; it++) {
4731
4732 /* Store current cost function value... */
4733 double chisq_old = *chisq;
4734
4735 /* Compute kernel matrix K_i... */
4736 if (it > 1 && it % ret->kernel_recomp == 0)
4737 kernel(ctl, tbl, atm_i, obs_i, k_i);
4738
4739 /* Compute K_i^T * S_eps^{-1} * K_i ... */
4740 if (it == 1 || it % ret->kernel_recomp == 0)
4741 matrix_product(k_i, sig_eps_inv, 1, cov);
4742
4743 /* Determine b = K_i^T * S_eps^{-1} * dy - S_a^{-1} * dx ... */
4744 for (size_t i = 0; i < m; i++)
4745 gsl_vector_set(y_aux, i, gsl_vector_get(dy, i)
4746 * POW2(gsl_vector_get(sig_eps_inv, i)));
4747 gsl_blas_dgemv(CblasTrans, 1.0, k_i, y_aux, 0.0, b);
4748 gsl_blas_dgemv(CblasNoTrans, -1.0, s_a_inv, dx, 1.0, b);
4749
4750 /* Inner loop... */
4751 for (int it2 = 0; it2 < 20; it2++) {
4752
4753 /* Compute A = (1 + lmpar) * S_a^{-1} + K_i^T * S_eps^{-1} * K_i ... */
4754 gsl_matrix_memcpy(a, s_a_inv);
4755 gsl_matrix_scale(a, 1 + lmpar);
4756 gsl_matrix_add(a, cov);
4757
4758 /* Solve A * x_step = b by means of Cholesky decomposition... */
4759 gsl_linalg_cholesky_decomp(a);
4760 gsl_linalg_cholesky_solve(a, b, x_step);
4761
4762 /* Update atmospheric state... */
4763 gsl_vector_add(x_i, x_step);
4764 copy_atm(ctl, atm_i, atm_apr, 0);
4765 copy_obs(ctl, obs_i, obs_meas, 0);
4766 x2atm(ctl, x_i, atm_i);
4767
4768 /* Check atmospheric state... */
4769 for (int ip = 0; ip < atm_i->np; ip++) {
4770 atm_i->p[ip] = CLAMP(atm_i->p[ip], 5e-7, 5e4);
4771 atm_i->t[ip] = CLAMP(atm_i->t[ip], 100, 400);
4772 for (int ig = 0; ig < ctl->ng; ig++)
4773 atm_i->q[ig][ip] = CLAMP(atm_i->q[ig][ip], 0, 1);
4774 for (int iw = 0; iw < ctl->nw; iw++)
4775 atm_i->k[iw][ip] = MAX(atm_i->k[iw][ip], 0);
4776 }
4777 atm_i->clz = MAX(atm_i->clz, 0);
4778 atm_i->cldz = MAX(atm_i->cldz, 0.1);
4779 for (int icl = 0; icl < ctl->ncl; icl++)
4780 atm_i->clk[icl] = MAX(atm_i->clk[icl], 0);
4781 atm_i->sft = CLAMP(atm_i->sft, 100, 400);
4782 for (int isf = 0; isf < ctl->nsf; isf++)
4783 atm_i->sfeps[isf] = CLAMP(atm_i->sfeps[isf], 0, 1);
4784
4785 /* Forward calculation... */
4786 formod(ctl, tbl, atm_i, obs_i);
4787 obs2y(ctl, obs_i, y_i, NULL, NULL);
4788
4789 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4790 gsl_vector_memcpy(dx, x_i);
4791 gsl_vector_sub(dx, x_a);
4792 gsl_vector_memcpy(dy, y_m);
4793 gsl_vector_sub(dy, y_i);
4794
4795 /* Compute cost function... */
4796 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4797
4798 /* Modify Levenberg-Marquardt parameter... */
4799 if (*chisq > chisq_old) {
4800 lmpar *= 10;
4801 gsl_vector_sub(x_i, x_step);
4802 } else {
4803 lmpar /= 10;
4804 break;
4805 }
4806 }
4807
4808 /* Write info... */
4809 LOG(2, "it= %d / chi^2/m= %g", it, *chisq);
4810
4811 /* Get normalized step size in state space... */
4812 gsl_blas_ddot(x_step, b, &disq);
4813 disq /= (double) n;
4814
4815 /* Convergence test... */
4816 if ((it == 1 || it % ret->kernel_recomp == 0) && disq < ret->conv_dmin)
4817 break;
4818 }
4819
4820 /* ------------------------------------------------------------
4821 Analysis of retrieval results...
4822 ------------------------------------------------------------ */
4823
4824 /* Check if error analysis is requested... */
4825 if (ret->err_ana) {
4826
4827 /* Store results... */
4828 write_atm(ret->dir, "atm_final.tab", ctl, atm_i);
4829 write_obs(ret->dir, "obs_final.tab", ctl, obs_i);
4830 write_matrix(ret->dir, "matrix_kernel.tab", ctl, k_i,
4831 atm_i, obs_i, "y", "x", "r");
4832
4833 /* Allocate... */
4834 gsl_matrix *auxnm = gsl_matrix_alloc(n, m);
4835 gsl_matrix *corr = gsl_matrix_alloc(n, n);
4836 gsl_matrix *gain = gsl_matrix_alloc(n, m);
4837
4838 /* Compute inverse retrieval covariance...
4839 cov^{-1} = S_a^{-1} + K_i^T * S_eps^{-1} * K_i */
4840 matrix_product(k_i, sig_eps_inv, 1, cov);
4841 gsl_matrix_add(cov, s_a_inv);
4842
4843 /* Compute retrieval covariance... */
4844 matrix_invert(cov);
4845 write_matrix(ret->dir, "matrix_cov_ret.tab", ctl, cov,
4846 atm_i, obs_i, "x", "x", "r");
4847 write_stddev("total", ret, ctl, atm_i, cov);
4848
4849 /* Compute correlation matrix... */
4850 for (size_t i = 0; i < n; i++)
4851 for (size_t j = 0; j < n; j++)
4852 gsl_matrix_set(corr, i, j, gsl_matrix_get(cov, i, j)
4853 / sqrt(gsl_matrix_get(cov, i, i))
4854 / sqrt(gsl_matrix_get(cov, j, j)));
4855 write_matrix(ret->dir, "matrix_corr.tab", ctl, corr,
4856 atm_i, obs_i, "x", "x", "r");
4857
4858 /* Compute gain matrix...
4859 G = cov * K^T * S_eps^{-1} */
4860 for (size_t i = 0; i < n; i++)
4861 for (size_t j = 0; j < m; j++)
4862 gsl_matrix_set(auxnm, i, j, gsl_matrix_get(k_i, j, i)
4863 * POW2(gsl_vector_get(sig_eps_inv, j)));
4864 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, cov, auxnm, 0.0, gain);
4865 write_matrix(ret->dir, "matrix_gain.tab", ctl, gain,
4866 atm_i, obs_i, "x", "y", "c");
4867
4868 /* Compute retrieval error due to noise... */
4869 matrix_product(gain, sig_noise, 2, a);
4870 write_stddev("noise", ret, ctl, atm_i, a);
4871
4872 /* Compute retrieval error due to forward model errors... */
4873 matrix_product(gain, sig_formod, 2, a);
4874 write_stddev("formod", ret, ctl, atm_i, a);
4875
4876 /* Compute averaging kernel matrix
4877 A = G * K ... */
4878 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, gain, k_i, 0.0, a);
4879 write_matrix(ret->dir, "matrix_avk.tab", ctl, a,
4880 atm_i, obs_i, "x", "x", "r");
4881
4882 /* Analyze averaging kernel matrix... */
4883 analyze_avk(ret, ctl, atm_i, iqa, ipa, a);
4884
4885 /* Free... */
4886 gsl_matrix_free(auxnm);
4887 gsl_matrix_free(corr);
4888 gsl_matrix_free(gain);
4889 }
4890
4891 /* ------------------------------------------------------------
4892 Finalize...
4893 ------------------------------------------------------------ */
4894
4895 gsl_matrix_free(a);
4896 gsl_matrix_free(cov);
4897 gsl_matrix_free(k_i);
4898 gsl_matrix_free(s_a_inv);
4899
4900 gsl_vector_free(b);
4901 gsl_vector_free(dx);
4902 gsl_vector_free(dy);
4903 gsl_vector_free(sig_eps_inv);
4904 gsl_vector_free(sig_formod);
4905 gsl_vector_free(sig_noise);
4906 gsl_vector_free(x_a);
4907 gsl_vector_free(x_i);
4908 gsl_vector_free(x_step);
4909 gsl_vector_free(y_aux);
4910 gsl_vector_free(y_i);
4911 gsl_vector_free(y_m);
4912}
void analyze_avk(const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const int *iqa, const int *ipa, const gsl_matrix *avk)
Analyze averaging kernel (AVK) matrix for retrieval diagnostics.
Definition: jurassic.c:29
double cost_function(const gsl_vector *dx, const gsl_vector *dy, const gsl_matrix *s_a_inv, const gsl_vector *sig_eps_inv)
Compute the normalized quadratic cost function for optimal estimation.
Definition: jurassic.c:1179
void matrix_product(const gsl_matrix *a, const gsl_vector *b, const int transpose, gsl_matrix *c)
Compute structured matrix products of the form or .
Definition: jurassic.c:4572
void set_cov_meas(const ret_t *ret, const ctl_t *ctl, const obs_t *obs, gsl_vector *sig_noise, gsl_vector *sig_formod, gsl_vector *sig_eps_inv)
Construct measurement error standard deviations and their inverse.
Definition: jurassic.c:6593
void write_obs(const char *dirname, const char *filename, const ctl_t *ctl, const obs_t *obs)
Write observation data to an output file in ASCII or binary format.
Definition: jurassic.c:7574
void kernel(const ctl_t *ctl, const tbl_t *tbl, atm_t *atm, obs_t *obs, gsl_matrix *k)
Compute the Jacobian (kernel) matrix by finite differences.
Definition: jurassic.c:4376
void matrix_invert(gsl_matrix *a)
Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices.
Definition: jurassic.c:4542
void write_matrix(const char *dirname, const char *filename, const ctl_t *ctl, const gsl_matrix *matrix, const atm_t *atm, const obs_t *obs, const char *rowspace, const char *colspace, const char *sort)
Write a fully annotated matrix (e.g., Jacobian or gain matrix) to file.
Definition: jurassic.c:7396
void set_cov_apr(const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const int *iqa, const int *ipa, gsl_matrix *s_a)
Construct the a priori covariance matrix for retrieval parameters.
Definition: jurassic.c:6482
void write_stddev(const char *quantity, const ret_t *ret, const ctl_t *ctl, const atm_t *atm, const gsl_matrix *s)
Write retrieval standard deviation profiles to disk.
Definition: jurassic.c:7976
#define WARN(...)
Print a warning message with contextual information.
Definition: jurassic.h:1160
int err_ana
Carry out error analysis (0=no, 1=yes).
Definition: jurassic.h:1589
double conv_dmin
Minimum normalized step size in state space.
Definition: jurassic.h:1586
int kernel_recomp
Re-computation of kernel matrix (number of iterations).
Definition: jurassic.h:1580
int conv_itmax
Maximum number of iterations.
Definition: jurassic.h:1583
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◆ raytrace()

void raytrace ( const ctl_t ctl,
const atm_t atm,
obs_t obs,
los_t los,
const int  ir 
)

Perform line-of-sight (LOS) ray tracing through the atmosphere.

Computes the geometric path of a viewing ray from the observer to the atmosphere (and possibly the surface), accounting for spherical geometry, optional refraction, and cloud or surface interactions.
Fills the LOS structure with pressure, temperature, gas concentrations, extinction, and path length at each step.

Parameters
[in]ctlControl structure containing model and numerical settings.
[in]atmAtmospheric state structure (profiles of p, T, q, k, etc.).
[in,out]obsObservation geometry and radiance data; updated tangent point.
[out]losLine-of-sight structure to be populated with sampled quantities.
[in]irIndex of the current ray path in the observation set.
  • Integrates along the viewing ray starting at the observer position.
  • Performs stepwise propagation with step length ds determined by altitude and user-specified controls (rayds, raydz).
  • Interpolates atmospheric variables at each step using intpol_atm.
  • Detects surface intersection or top-of-atmosphere exit and terminates accordingly.
  • Optionally accounts for refraction via the refractive index n(p, T).
  • Accumulates column densities and Curtis–Godson means for each gas.
  • Supports cloud extinction and surface emissivity interpolation.
Note
The routine enforces that atmospheric grids include the surface (z = 0 km). Rays starting above the atmosphere are propagated downward until entry.
See also
intpol_atm, tangent_point, formod_pencil, hydrostatic
Warning
  • Fails if the observer is below the surface or the atmosphere lacks z = 0.
  • Aborts if the number of LOS points exceeds NLOS.
  • Assumes monotonic altitude ordering in atmospheric data.
Author
Lars Hoffmann

Definition at line 4916 of file jurassic.c.

4921 {
4922
4923 const double h = 0.02, zrefrac = 60;
4924
4925 double ex0[3], ex1[3], k[NW], lat, lon, n, ng[3], norm, p, q[NG], t,
4926 x[3], xh[3], xobs[3], xvp[3], z = 1e99, zmax, zmin;
4927
4928 int stop = 0;
4929
4930 /* Initialize... */
4931 los->np = 0;
4932 los->sft = -999;
4933 obs->tpz[ir] = obs->vpz[ir];
4934 obs->tplon[ir] = obs->vplon[ir];
4935 obs->tplat[ir] = obs->vplat[ir];
4936
4937 /* Get altitude range of atmospheric data... */
4938 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
4939
4940 /* Ensure that altitude grid includes the local geometric surface... */
4941 if (zmin > 1e-3 || zmin < -1e-3)
4942 ERRMSG("Atmospheric profiles must include surface level (z = 0 km)!");
4943
4944 /* Check observer altitude... */
4945 if (obs->obsz[ir] < zmin)
4946 ERRMSG("Observer below surface!");
4947
4948 /* Check view point altitude...
4949 if (obs->vpz[ir] > zmax)
4950 return;
4951 */
4952
4953 /* Determine Cartesian coordinates for observer and view point... */
4954 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xobs);
4955 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xvp);
4956
4957 /* Determine initial tangent vector... */
4958 for (int i = 0; i < 3; i++)
4959 ex0[i] = xvp[i] - xobs[i];
4960 norm = NORM(ex0);
4961 for (int i = 0; i < 3; i++)
4962 ex0[i] /= norm;
4963
4964 /* Observer within atmosphere... */
4965 for (int i = 0; i < 3; i++)
4966 x[i] = xobs[i];
4967
4968 /* Observer above atmosphere (search entry point)... */
4969 if (obs->obsz[ir] > zmax) {
4970 double dmax = norm, dmin = 0;
4971 while (fabs(dmin - dmax) > 0.001) {
4972 const double d = (dmax + dmin) / 2;
4973 for (int i = 0; i < 3; i++)
4974 x[i] = xobs[i] + d * ex0[i];
4975 cart2geo(x, &z, &lon, &lat);
4976 if (z <= zmax && z > zmax - 0.001)
4977 break;
4978 if (z < zmax - 0.0005)
4979 dmax = d;
4980 else
4981 dmin = d;
4982 }
4983 }
4984
4985 /* Ray-tracing... */
4986 while (1) {
4987
4988 /* Set step length... */
4989 double ds = ctl->rayds;
4990 if (ctl->raydz > 0) {
4991 norm = NORM(x);
4992 for (int i = 0; i < 3; i++)
4993 xh[i] = x[i] / norm;
4994 const double cosa = fabs(DOTP(ex0, xh));
4995 if (cosa != 0)
4996 ds = MIN(ctl->rayds, ctl->raydz / cosa);
4997 }
4998
4999 /* Determine geolocation... */
5000 cart2geo(x, &z, &lon, &lat);
5001
5002 /* Check if LOS hits the ground or has left atmosphere... */
5003 if (z < zmin || z > zmax) {
5004 stop = (z < zmin ? 2 : 1);
5005 const double frac =
5006 ((z <
5007 zmin ? zmin : zmax) - los->z[los->np - 1]) / (z - los->z[los->np -
5008 1]);
5009 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
5010 los->lat[los->np - 1], xh);
5011 for (int i = 0; i < 3; i++)
5012 x[i] = xh[i] + frac * (x[i] - xh[i]);
5013 cart2geo(x, &z, &lon, &lat);
5014 los->ds[los->np - 1] = ds * frac;
5015 ds = 0;
5016 }
5017
5018 /* Interpolate atmospheric data... */
5019 intpol_atm(ctl, atm, z, &p, &t, q, k);
5020
5021 /* Save data... */
5022 los->lon[los->np] = lon;
5023 los->lat[los->np] = lat;
5024 los->z[los->np] = z;
5025 los->p[los->np] = p;
5026 los->t[los->np] = t;
5027 for (int ig = 0; ig < ctl->ng; ig++)
5028 los->q[los->np][ig] = q[ig];
5029 for (int id = 0; id < ctl->nd; id++)
5030 los->k[los->np][id] = k[ctl->window[id]];
5031 los->ds[los->np] = ds;
5032
5033 /* Add cloud extinction... */
5034 if (ctl->ncl > 0 && atm->cldz > 0) {
5035 const double aux = exp(-0.5 * POW2((z - atm->clz) / atm->cldz));
5036 for (int id = 0; id < ctl->nd; id++) {
5037 const int icl = locate_irr(ctl->clnu, ctl->ncl, ctl->nu[id]);
5038 los->k[los->np][id]
5039 += aux * LIN(ctl->clnu[icl], atm->clk[icl],
5040 ctl->clnu[icl + 1], atm->clk[icl + 1], ctl->nu[id]);
5041 }
5042 }
5043
5044 /* Increment and check number of LOS points... */
5045 if ((++los->np) > NLOS)
5046 ERRMSG("Too many LOS points!");
5047
5048 /* Check stop flag... */
5049 if (stop) {
5050
5051 /* Set surface temperature... */
5052 if (ctl->nsf > 0 && atm->sft > 0)
5053 t = atm->sft;
5054 los->sft = (stop == 2 ? t : -999);
5055
5056 /* Set surface emissivity... */
5057 for (int id = 0; id < ctl->nd; id++) {
5058 los->sfeps[id] = 1.0;
5059 if (ctl->nsf > 0) {
5060 const int isf = locate_irr(ctl->sfnu, ctl->nsf, ctl->nu[id]);
5061 los->sfeps[id] = LIN(ctl->sfnu[isf], atm->sfeps[isf],
5062 ctl->sfnu[isf + 1], atm->sfeps[isf + 1],
5063 ctl->nu[id]);
5064 }
5065 }
5066
5067 /* Leave raytracer... */
5068 break;
5069 }
5070
5071 /* Determine refractivity... */
5072 if (ctl->refrac && z <= zrefrac)
5073 n = 1 + REFRAC(p, t);
5074 else
5075 n = 1;
5076
5077 /* Construct new tangent vector (first term)... */
5078 for (int i = 0; i < 3; i++)
5079 ex1[i] = ex0[i] * n;
5080
5081 /* Compute gradient of refractivity... */
5082 if (ctl->refrac && z <= zrefrac) {
5083 for (int i = 0; i < 3; i++)
5084 xh[i] = x[i] + 0.5 * ds * ex0[i];
5085 cart2geo(xh, &z, &lon, &lat);
5086 intpol_atm(ctl, atm, z, &p, &t, q, k);
5087 n = REFRAC(p, t);
5088 for (int i = 0; i < 3; i++) {
5089 xh[i] += h;
5090 cart2geo(xh, &z, &lon, &lat);
5091 intpol_atm(ctl, atm, z, &p, &t, q, k);
5092 ng[i] = (REFRAC(p, t) - n) / h;
5093 xh[i] -= h;
5094 }
5095 } else
5096 for (int i = 0; i < 3; i++)
5097 ng[i] = 0;
5098
5099 /* Construct new tangent vector (second term)... */
5100 for (int i = 0; i < 3; i++)
5101 ex1[i] += ds * ng[i];
5102
5103 /* Normalize new tangent vector... */
5104 norm = NORM(ex1);
5105 for (int i = 0; i < 3; i++)
5106 ex1[i] /= norm;
5107
5108 /* Determine next point of LOS... */
5109 for (int i = 0; i < 3; i++)
5110 x[i] += 0.5 * ds * (ex0[i] + ex1[i]);
5111
5112 /* Copy tangent vector... */
5113 for (int i = 0; i < 3; i++)
5114 ex0[i] = ex1[i];
5115 }
5116
5117 /* Get tangent point (to be done before changing segment lengths!)... */
5118 tangent_point(los, &obs->tpz[ir], &obs->tplon[ir], &obs->tplat[ir]);
5119
5120 /* Change segment lengths according to trapezoid rule... */
5121 for (int ip = los->np - 1; ip >= 1; ip--)
5122 los->ds[ip] = 0.5 * (los->ds[ip - 1] + los->ds[ip]);
5123 los->ds[0] *= 0.5;
5124
5125 /* Compute column density... */
5126 for (int ip = 0; ip < los->np; ip++)
5127 for (int ig = 0; ig < ctl->ng; ig++)
5128 los->u[ip][ig] = 10 * los->q[ip][ig] * los->p[ip]
5129 / (KB * los->t[ip]) * los->ds[ip];
5130
5131 /* Compute Curtis-Godson means... */
5132 for (int ig = 0; ig < ctl->ng; ig++) {
5133 los->cgu[0][ig] = los->u[0][ig];
5134 los->cgp[0][ig] = los->u[0][ig] * los->p[0];
5135 los->cgt[0][ig] = los->u[0][ig] * los->t[0];
5136 }
5137 for (int ip = 1; ip < los->np; ip++)
5138 for (int ig = 0; ig < ctl->ng; ig++) {
5139 los->cgu[ip][ig] = los->cgu[ip - 1][ig] + los->u[ip][ig];
5140 los->cgp[ip][ig] = los->cgp[ip - 1][ig] + los->u[ip][ig] * los->p[ip];
5141 los->cgt[ip][ig] = los->cgt[ip - 1][ig] + los->u[ip][ig] * los->t[ip];
5142 }
5143 for (int ip = 0; ip < los->np; ip++)
5144 for (int ig = 0; ig < ctl->ng; ig++)
5145 if (los->cgu[ip][ig] != 0) {
5146 los->cgp[ip][ig] /= los->cgu[ip][ig];
5147 los->cgt[ip][ig] /= los->cgu[ip][ig];
5148 }
5149}
void intpol_atm(const ctl_t *ctl, const atm_t *atm, const double z, double *p, double *t, double *q, double *k)
Interpolate atmospheric state variables at a given altitude.
Definition: jurassic.c:4038
void tangent_point(const los_t *los, double *tpz, double *tplon, double *tplat)
Determine the tangent point along a line of sight (LOS).
Definition: jurassic.c:6637
void cart2geo(const double *x, double *z, double *lon, double *lat)
Converts Cartesian coordinates to geographic coordinates.
Definition: jurassic.c:185
#define KB
Boltzmann constant [kg m^2/(K s^2)].
Definition: jurassic.h:159
#define REFRAC(p, T)
Compute air refractivity (n - 1).
Definition: jurassic.h:1006
#define NLOS
Maximum number of LOS points.
Definition: jurassic.h:288
#define NW
Maximum number of spectral windows.
Definition: jurassic.h:263
int window[ND]
Window index of each channel.
Definition: jurassic.h:1326
double rayds
Maximum step length for raytracing [km].
Definition: jurassic.h:1377
double raydz
Vertical step length for raytracing [km].
Definition: jurassic.h:1380
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◆ read_atm()

void read_atm ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
atm_t atm 
)

Read atmospheric input data from a file.

This function reads atmospheric data from the file specified by filename, optionally prefixed by the directory dirname. The file format (ASCII or binary) is determined by the control structure ctl. The data are stored in the atmospheric structure atm.

Supported file formats are:

  • ASCII format (ctl->atmfmt == 1)
  • Binary format (ctl->atmfmt == 2)

The function initializes the atmospheric data container, opens the specified file, reads its contents according to the selected format, and performs sanity checks on the number of data points. It also logs basic statistical information about the loaded atmospheric fields (time, altitude, longitude, latitude, pressure, temperature, and species/emitter mixing ratios).

Parameters
dirnameOptional directory path where the atmospheric file resides. If NULL, only filename is used.
filenameName of the atmospheric data file to read.
ctlPointer to a control structure specifying input parameters, file format, number of emitters, spectral windows, and additional atmospheric configuration.
atmPointer to an atmospheric data structure that will be filled with the values read from the file. The structure must be allocated before calling this function.
Note
The function aborts execution using ERRMSG on critical errors, such as failure to open the file, unknown file format, or absence of readable data.
Warning
Ensure that the atm structure has been properly allocated, and that the control parameters in ctl are valid before calling this function.
Author
Lars Hoffmann

Definition at line 5153 of file jurassic.c.

5157 {
5158
5159 char file[LEN];
5160
5161 /* Init... */
5162 atm->np = 0;
5163
5164 /* Set filename... */
5165 if (dirname != NULL)
5166 sprintf(file, "%s/%s", dirname, filename);
5167 else
5168 sprintf(file, "%s", filename);
5169
5170 /* Write info... */
5171 LOG(1, "Read atmospheric data: %s", file);
5172
5173 /* Read ASCII data... */
5174 if (ctl->atmfmt == 1)
5175 read_atm_asc(file, ctl, atm);
5176
5177 /* Read binary data... */
5178 else if (ctl->atmfmt == 2)
5179 read_atm_bin(file, ctl, atm);
5180
5181 /* Read netCDF data... */
5182 else if (ctl->atmfmt == 3)
5183 read_atm_nc(file, ctl, atm, 0);
5184
5185 /* Check number of points... */
5186 if (atm->np < 1)
5187 ERRMSG("Could not read any data!");
5188
5189 /* Write info... */
5190 double mini, maxi;
5191 LOG(2, "Number of data points: %d", atm->np);
5192 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
5193 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5194 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
5195 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
5196 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
5197 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
5198 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
5199 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
5200 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
5201 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
5202 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
5203 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
5204 for (int ig = 0; ig < ctl->ng; ig++) {
5205 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
5206 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
5207 }
5208 for (int iw = 0; iw < ctl->nw; iw++) {
5209 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
5210 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
5211 }
5212 if (ctl->ncl > 0) {
5213 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
5214 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
5215 } else
5216 LOG(2, "Cloud layer: none");
5217 if (ctl->nsf > 0) {
5218 LOG(2,
5219 "Surface: T_s = %g K | eps= %g ... %g",
5220 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
5221 } else
5222 LOG(2, "Surface: none");
5223}
void read_atm_bin(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in binary format.
Definition: jurassic.c:5279
void read_atm_asc(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in ASCII format.
Definition: jurassic.c:5227
void read_atm_nc(const char *filename, const ctl_t *ctl, atm_t *atm, int profile)
Read one atmospheric profile from a netCDF file.
Definition: jurassic.c:5373
int atmfmt
Atmospheric data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1353
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◆ read_atm_asc()

void read_atm_asc ( const char *  filename,
const ctl_t ctl,
atm_t atm 
)

Read atmospheric data in ASCII format.

This function reads and parses atmospheric input data from an ASCII file specified by its filename and stores the values in the atmospheric structure atm. The number and type of fields to read are determined by the control structure ctl. Each line of the ASCII file corresponds to a single atmospheric data point.

The expected order of fields in each line is:

  • Time
  • Altitude
  • Longitude
  • Latitude
  • Pressure
  • Temperature
  • Mixing ratios for each gas/emitter (ctl->ng values)
  • Extinction coefficients for each spectral window (ctl->nw values)

Additionally, if cloud or surface layer parameters are enabled in ctl, they are read once from the first line only:

  • Cloud layer: altitude, thickness, and extinction (ctl->ncl values)
  • Surface layer: temperature and emissivity (ctl->nsf values)
Parameters
filenamePath to the ASCII file containing atmospheric data.
ctlPointer to a control structure defining the number of gases, spectral windows, and whether cloud or surface layer information should be read.
atmPointer to an initialized atmospheric structure where the parsed data points will be stored. The function updates atm->np to reflect the number of successfully read data records.
Note
The function reads until end-of-file is reached. Each successfully parsed line increments the atmospheric data point counter.
Warning
The function terminates execution using ERRMSG if more than NP data points are encountered, or if the input format deviates from expectations.
Author
Lars Hoffmann

Definition at line 5227 of file jurassic.c.

5230 {
5231
5232 char line[LEN], *tok;
5233
5234 /* Init... */
5235 atm->np = 0;
5236
5237 /* Open file... */
5238 FILE *in;
5239 if (!(in = fopen(filename, "r")))
5240 ERRMSG("Cannot open file!");
5241
5242 /* Read line... */
5243 while (fgets(line, LEN, in)) {
5244
5245 /* Read data... */
5246 TOK(line, tok, "%lg", atm->time[atm->np]);
5247 TOK(NULL, tok, "%lg", atm->z[atm->np]);
5248 TOK(NULL, tok, "%lg", atm->lon[atm->np]);
5249 TOK(NULL, tok, "%lg", atm->lat[atm->np]);
5250 TOK(NULL, tok, "%lg", atm->p[atm->np]);
5251 TOK(NULL, tok, "%lg", atm->t[atm->np]);
5252 for (int ig = 0; ig < ctl->ng; ig++)
5253 TOK(NULL, tok, "%lg", atm->q[ig][atm->np]);
5254 for (int iw = 0; iw < ctl->nw; iw++)
5255 TOK(NULL, tok, "%lg", atm->k[iw][atm->np]);
5256 if (ctl->ncl > 0 && atm->np == 0) {
5257 TOK(NULL, tok, "%lg", atm->clz);
5258 TOK(NULL, tok, "%lg", atm->cldz);
5259 for (int icl = 0; icl < ctl->ncl; icl++)
5260 TOK(NULL, tok, "%lg", atm->clk[icl]);
5261 }
5262 if (ctl->nsf > 0 && atm->np == 0) {
5263 TOK(NULL, tok, "%lg", atm->sft);
5264 for (int isf = 0; isf < ctl->nsf; isf++)
5265 TOK(NULL, tok, "%lg", atm->sfeps[isf]);
5266 }
5267
5268 /* Increment data point counter... */
5269 if ((++atm->np) > NP)
5270 ERRMSG("Too many data points!");
5271 }
5272
5273 /* Close file... */
5274 fclose(in);
5275}
#define TOK(line, tok, format, var)
Tokenize a string and parse a variable.
Definition: jurassic.h:1079
#define NP
Maximum number of atmospheric data points.
Definition: jurassic.h:248

◆ read_atm_bin()

void read_atm_bin ( const char *  filename,
const ctl_t ctl,
atm_t atm 
)

Read atmospheric data in binary format.

This function reads atmospheric input data from a binary file specified by its filename and stores the decoded values in the atmospheric structure atm. The expected binary format is predefined and must match the configuration provided in the control structure ctl. The function reads a header containing metadata describing the dataset, followed by the atmospheric fields and optional cloud and surface layer properties.

The binary file layout is expected to follow this structure:

  1. Magic identifier (4 bytes, ignored except for presence)
  2. Header integers:
    • Number of gas species (ng)
    • Number of spectral windows (nw)
    • Number of cloud layer extinction elements (ncl)
    • Number of surface emissivity elements (nsf) These must match the corresponding values in ctl.
  3. Data payload:
    • Number of points (np)
    • Arrays of size np for time, altitude, longitude, latitude, pressure, and temperature
    • For each gas species: mixing ratio array of length np
    • For each spectral window: extinction coefficient array of length np
  4. Optional layered parameters:
    • Cloud layer altitude, thickness, and extinction (ctl->ncl values)
    • Surface temperature and emissivity (ctl->nsf values)
Parameters
filenamePath to the binary file containing atmospheric data.
ctlPointer to a control structure specifying the expected dimensions of atmospheric fields and optional layers. Used for header validation.
atmPointer to an allocated atmospheric data structure that will be filled with the contents of the binary file. All arrays must be allocated prior to calling this function.
Note
This function does not allocate memory; it assumes storage for all atmospheric variables already exists and matches the expected sizes.
Warning
Execution is terminated via ERRMSG if:
  • The binary header does not match the control structure.
  • The binary file does not contain the expected amount of data.
Author
Lars Hoffmann

Definition at line 5279 of file jurassic.c.

5282 {
5283
5284 /* Open file... */
5285 FILE *in;
5286 if (!(in = fopen(filename, "r")))
5287 ERRMSG("Cannot open file!");
5288
5289 /* Read header... */
5290 char magic[4];
5291 FREAD(magic, char,
5292 4,
5293 in);
5294 if (memcmp(magic, "ATM1", 4) != 0)
5295 ERRMSG("Invalid magic string!");
5296
5297 int ng, nw, ncl, nsf;
5298 FREAD(&ng, int,
5299 1,
5300 in);
5301 FREAD(&nw, int,
5302 1,
5303 in);
5304 FREAD(&ncl, int,
5305 1,
5306 in);
5307 FREAD(&nsf, int,
5308 1,
5309 in);
5310 if (ng != ctl->ng || nw != ctl->nw || ncl != ctl->ncl || nsf != ctl->nsf)
5311 ERRMSG("Error reading file header!");
5312
5313 /* Read data... */
5314 size_t np;
5315 FREAD(&np, size_t,
5316 1,
5317 in);
5318 atm->np = (int) np;
5319 if (atm->np > NP)
5320 ERRMSG("Too many data points!");
5321 FREAD(atm->time, double,
5322 np,
5323 in);
5324 FREAD(atm->z, double,
5325 np,
5326 in);
5327 FREAD(atm->lon, double,
5328 np,
5329 in);
5330 FREAD(atm->lat, double,
5331 np,
5332 in);
5333 FREAD(atm->p, double,
5334 np,
5335 in);
5336 FREAD(atm->t, double,
5337 np,
5338 in);
5339 for (int ig = 0; ig < ctl->ng; ig++)
5340 FREAD(atm->q[ig], double,
5341 np,
5342 in);
5343 for (int iw = 0; iw < ctl->nw; iw++)
5344 FREAD(atm->k[iw], double,
5345 np,
5346 in);
5347 if (ctl->ncl > 0) {
5348 FREAD(&atm->clz, double,
5349 1,
5350 in);
5351 FREAD(&atm->cldz, double,
5352 1,
5353 in);
5354 FREAD(atm->clk, double,
5355 (size_t) ctl->ncl,
5356 in);
5357 }
5358 if (ctl->nsf) {
5359 FREAD(&atm->sft, double,
5360 1,
5361 in);
5362 FREAD(atm->sfeps, double,
5363 (size_t) ctl->nsf,
5364 in);
5365 }
5366
5367 /* Close file... */
5368 fclose(in);
5369}
#define FREAD(ptr, type, size, out)
Read binary data from a file.
Definition: jurassic.h:520

◆ read_atm_nc()

void read_atm_nc ( const char *  filename,
const ctl_t ctl,
atm_t atm,
int  profile 
)

Read one atmospheric profile from a netCDF file.

This routine reads a single profile (record) from a netCDF file into an atm_t structure. The file is expected to follow the JURASSIC netCDF layout produced by write_atm_nc(), using an unlimited profile dimension and a fixed level dimension.

The number of valid vertical levels for the requested profile is read from nlev(profile) and stored in atm->np. All 2-D profile variables are then read for the hyperslab (profile,0:atm->np-1).

File layout (expected)

Dimensions:

  • profile : unlimited (record dimension)
  • level : fixed (maximum number of vertical levels stored in the file)

Variables:

  • nlev(profile) : number of valid levels per profile (required)
  • Core state (2-D): time,z,lon,lat,p,t(profile,level)
  • Trace gases (2-D): one variable per species named ctl->emitter[ig] with dimensions (profile,level)
  • Extinction windows (2-D): ext_win_d(profile,level)
  • Clouds (1-D, optional if ctl->ncl>0): cld_z, cld_dz, cld_k_d(profile)
  • Surface (1-D, optional if ctl->nsf>0): sf_t, sf_eps_d(profile)
Parameters
filenameInput netCDF file name.
ctlControl structure (defines numbers/names of optional fields, e.g., ng, nw, ncl, nsf, and emitter[]).
atmAtmospheric profile structure to fill. On return, atm->np contains the number of valid levels for the requested profile.
profileRecord index along the unlimited profile dimension.
Note
This function assumes that arrays in atm have static capacity NP and checks that atm->np is within [1,NP]. Errors are handled via the NC(...) macro.
Author
Lars Hoffmann

Definition at line 5373 of file jurassic.c.

5377 {
5378
5379 int ncid, var_time, var_z, var_lon, var_lat, var_p, var_t, var_q[NG],
5380 var_k[NW], var_cz = -1, var_cdz = -1, var_ck[NCL], var_sft =
5381 -1, var_sfe[NSF], var_nlev = -1;
5382
5383 char varname[LEN];
5384
5385 /* Open file... */
5386 NC(nc_open(filename, NC_NOWRITE, &ncid));
5387
5388 /* Initialize hyperslab... */
5389 size_t start[2] = { (size_t) profile, 0 };
5390 size_t count[2] = { 1, 0 };
5391
5392 /* Determine atm->np... */
5393 NC(nc_inq_varid(ncid, "nlev", &var_nlev));
5394 NC(nc_get_vara_int(ncid, var_nlev, start, count, &atm->np));
5395 if (atm->np < 1 || atm->np > NP)
5396 ERRMSG("Number of level out of range!");
5397
5398 /* Update hyperslab... */
5399 count[1] = (size_t) atm->np;
5400
5401 /* Inquire core variables... */
5402 NC(nc_inq_varid(ncid, "time", &var_time));
5403 NC(nc_inq_varid(ncid, "z", &var_z));
5404 NC(nc_inq_varid(ncid, "lon", &var_lon));
5405 NC(nc_inq_varid(ncid, "lat", &var_lat));
5406 NC(nc_inq_varid(ncid, "p", &var_p));
5407 NC(nc_inq_varid(ncid, "t", &var_t));
5408
5409 /* Inquire emiters... */
5410 for (int ig = 0; ig < ctl->ng; ig++)
5411 NC(nc_inq_varid(ncid, ctl->emitter[ig], &var_q[ig]));
5412
5413 /* Inquire extinctions... */
5414 for (int iw = 0; iw < ctl->nw; iw++) {
5415 sprintf(varname, "ext_win_%d", iw);
5416 NC(nc_inq_varid(ncid, varname, &var_k[iw]));
5417 }
5418
5419 /* Inquire cloud variables... */
5420 if (ctl->ncl > 0) {
5421 NC(nc_inq_varid(ncid, "cld_z", &var_cz));
5422 NC(nc_inq_varid(ncid, "cld_dz", &var_cdz));
5423 for (int icl = 0; icl < ctl->ncl; icl++) {
5424 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
5425 NC(nc_inq_varid(ncid, varname, &var_ck[icl]));
5426 }
5427 }
5428
5429 /* Inquire surface variables... */
5430 if (ctl->nsf > 0) {
5431 NC(nc_inq_varid(ncid, "srf_t", &var_sft));
5432 for (int isf = 0; isf < ctl->nsf; isf++) {
5433 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
5434 NC(nc_inq_varid(ncid, varname, &var_sfe[isf]));
5435 }
5436 }
5437
5438 /* Read core variables... */
5439 NC(nc_get_vara_double(ncid, var_time, start, count, atm->time));
5440 NC(nc_get_vara_double(ncid, var_z, start, count, atm->z));
5441 NC(nc_get_vara_double(ncid, var_lon, start, count, atm->lon));
5442 NC(nc_get_vara_double(ncid, var_lat, start, count, atm->lat));
5443 NC(nc_get_vara_double(ncid, var_p, start, count, atm->p));
5444 NC(nc_get_vara_double(ncid, var_t, start, count, atm->t));
5445
5446 /* Read emitters... */
5447 for (int ig = 0; ig < ctl->ng; ig++)
5448 NC(nc_get_vara_double(ncid, var_q[ig], start, count, atm->q[ig]));
5449
5450 /* Read extinctions... */
5451 for (int iw = 0; iw < ctl->nw; iw++)
5452 NC(nc_get_vara_double(ncid, var_k[iw], start, count, atm->k[iw]));
5453
5454 /* Read cloud variables... */
5455 if (ctl->ncl > 0) {
5456 NC(nc_get_vara_double(ncid, var_cz, start, count, &atm->clz));
5457 NC(nc_get_vara_double(ncid, var_cdz, start, count, &atm->cldz));
5458 for (int icl = 0; icl < ctl->ncl; icl++)
5459 NC(nc_get_vara_double(ncid, var_ck[icl], start, count, &atm->clk[icl]));
5460 }
5461
5462 /* Read surface variables... */
5463 if (ctl->nsf > 0) {
5464 NC(nc_get_vara_double(ncid, var_sft, start, count, &atm->sft));
5465
5466 for (int isf = 0; isf < ctl->nsf; isf++)
5467 NC(nc_get_vara_double
5468 (ncid, var_sfe[isf], start, count, &atm->sfeps[isf]));
5469 }
5470
5471 /* Close file... */
5472 NC(nc_close(ncid));
5473}
#define NC(cmd)
Execute a NetCDF command and check for errors.
Definition: jurassic.h:639
#define NSF
Maximum number of surface layer spectral grid points.
Definition: jurassic.h:258
#define NCL
Maximum number of cloud layer spectral grid points.
Definition: jurassic.h:233

◆ read_ctl()

void read_ctl ( int  argc,
char *  argv[],
ctl_t ctl 
)

Read model control parameters from command-line and configuration input.

Parses all numerical and string parameters required to initialize a JURASSIC simulation, including atmospheric composition, radiative channels, cloud and surface options, continua, ray-tracing setup, retrieval parameters, and output settings.
Populates the ctl_t structure with all configuration values.

Parameters
[in]argcArgument count from the command line.
[in]argvArgument vector containing user-specified options.
[out]ctlControl structure to be filled with parsed settings.
  • Uses scan_ctl to extract key–value pairs from the command line or control file.
  • Initializes:
    • Emitters and gases (NG, EMITTER),
    • Spectral channels (ND, NU, WINDOW),
    • Cloud parameters (NCL, CLNU),
    • Surface parameters (NSF, SFNU, SFTYPE, SFSZA),
    • Hydrostatic reference height (HYDZ),
    • Continuum flags (CTM_CO2, CTM_H2O, CTM_N2, CTM_O2),
    • Ray-tracing options (REFRAC, RAYDS, RAYDZ),
    • Field-of-view (FOV),
    • Retrieval limits (RETP_ZMIN, RETQ_ZMAX, etc.),
    • Output flags (WRITE_BBT, WRITE_MATRIX),
    • External forward model paths (RFMBIN, RFMHIT, RFMXSC).
  • Validates array bounds and logical parameter ranges.
  • Automatically detects major gas species indices (e.g. CO₂, H₂O, N₂, O₂).
  • Logs the executable name, version, and compilation time at startup.
See also
ctl_t, scan_ctl, find_emitter, read_shape, formod
Warning
  • Aborts if mandatory keys are missing or exceed defined limits (e.g. NG > NG_MAX).
  • Requires consistent index ordering (e.g. NCL > 1, NSF > 1).
  • Undefined or invalid parameters trigger ERRMSG() aborts.
Author
Lars Hoffmann

Definition at line 5477 of file jurassic.c.

5480 {
5481
5482 /* Write info... */
5483 LOG(1, "\nJuelich Rapid Spectral Simulation Code (JURASSIC)\n"
5484 "(executable: %s | version: %s | compiled: %s, %s)\n",
5485 argv[0], VERSION, __DATE__, __TIME__);
5486
5487 /* Emitters... */
5488 ctl->ng = (int) scan_ctl(argc, argv, "NG", -1, "0", NULL);
5489 if (ctl->ng < 0 || ctl->ng > NG)
5490 ERRMSG("Set 0 <= NG <= MAX!");
5491 for (int ig = 0; ig < ctl->ng; ig++)
5492 scan_ctl(argc, argv, "EMITTER", ig, "", ctl->emitter[ig]);
5493 ctl->ig_co2 = find_emitter(ctl, "CO2");
5494 ctl->ig_h2o = find_emitter(ctl, "H2O");
5495 ctl->ig_n2 = find_emitter(ctl, "N2");
5496 ctl->ig_o2 = find_emitter(ctl, "O2");
5497
5498 /* Radiance channels... */
5499 ctl->nd = (int) scan_ctl(argc, argv, "ND", -1, "0", NULL);
5500 if (ctl->nd < 0 || ctl->nd > ND)
5501 ERRMSG("Set 0 <= ND <= MAX!");
5502 for (int id = 0; id < ctl->nd; id++)
5503 ctl->nu[id] = scan_ctl(argc, argv, "NU", id, "", NULL);
5504
5505 /* Spectral windows... */
5506 ctl->nw = (int) scan_ctl(argc, argv, "NW", -1, "1", NULL);
5507 if (ctl->nw < 0 || ctl->nw > NW)
5508 ERRMSG("Set 0 <= NW <= MAX!");
5509 for (int id = 0; id < ctl->nd; id++)
5510 ctl->window[id] = (int) scan_ctl(argc, argv, "WINDOW", id, "0", NULL);
5511
5512 /* Cloud data... */
5513 ctl->ncl = (int) scan_ctl(argc, argv, "NCL", -1, "0", NULL);
5514 if (ctl->ncl < 0 || ctl->ncl > NCL)
5515 ERRMSG("Set 0 <= NCL <= MAX!");
5516 if (ctl->ncl == 1)
5517 ERRMSG("Set NCL > 1!");
5518 for (int icl = 0; icl < ctl->ncl; icl++)
5519 ctl->clnu[icl] = scan_ctl(argc, argv, "CLNU", icl, "", NULL);
5520
5521 /* Surface data... */
5522 ctl->nsf = (int) scan_ctl(argc, argv, "NSF", -1, "0", NULL);
5523 if (ctl->nsf < 0 || ctl->nsf > NSF)
5524 ERRMSG("Set 0 <= NSF <= MAX!");
5525 if (ctl->nsf == 1)
5526 ERRMSG("Set NSF > 1!");
5527 for (int isf = 0; isf < ctl->nsf; isf++)
5528 ctl->sfnu[isf] = scan_ctl(argc, argv, "SFNU", isf, "", NULL);
5529 ctl->sftype = (int) scan_ctl(argc, argv, "SFTYPE", -1, "2", NULL);
5530 if (ctl->sftype < 0 || ctl->sftype > 3)
5531 ERRMSG("Set 0 <= SFTYPE <= 3!");
5532 ctl->sfsza = scan_ctl(argc, argv, "SFSZA", -1, "-999", NULL);
5533
5534 /* Emissivity look-up tables... */
5535 scan_ctl(argc, argv, "TBLBASE", -1, "-", ctl->tblbase);
5536 ctl->tblfmt = (int) scan_ctl(argc, argv, "TBLFMT", -1, "1", NULL);
5537 if (ctl->tblfmt < 1 || ctl->tblfmt > 3)
5538 ERRMSG("Unknown look-up table file format, set TBLFMT to 1, 2, or 3!");
5539
5540 /* File formats... */
5541 ctl->atmfmt = (int) scan_ctl(argc, argv, "ATMFMT", -1, "1", NULL);
5542 if (ctl->atmfmt < 1 || ctl->atmfmt > 3)
5543 ERRMSG("Unknown atmospheric file format, set ATMFMT to 1, 2, or 3!");
5544 ctl->obsfmt = (int) scan_ctl(argc, argv, "OBSFMT", -1, "1", NULL);
5545 if (ctl->obsfmt < 1 || ctl->obsfmt > 3)
5546 ERRMSG("Unknown observation file format, set OBSFMT to 1, 2, or 3!");
5547
5548 /* Hydrostatic equilibrium... */
5549 ctl->hydz = scan_ctl(argc, argv, "HYDZ", -1, "-999", NULL);
5550
5551 /* Continua... */
5552 ctl->ctm_co2 = (int) scan_ctl(argc, argv, "CTM_CO2", -1, "1", NULL);
5553 ctl->ctm_h2o = (int) scan_ctl(argc, argv, "CTM_H2O", -1, "1", NULL);
5554 ctl->ctm_n2 = (int) scan_ctl(argc, argv, "CTM_N2", -1, "1", NULL);
5555 ctl->ctm_o2 = (int) scan_ctl(argc, argv, "CTM_O2", -1, "1", NULL);
5556
5557 /* Ray-tracing... */
5558 ctl->refrac = (int) scan_ctl(argc, argv, "REFRAC", -1, "1", NULL);
5559 ctl->rayds = scan_ctl(argc, argv, "RAYDS", -1, "10", NULL);
5560 ctl->raydz = scan_ctl(argc, argv, "RAYDZ", -1, "0.1", NULL);
5561
5562 /* Field of view... */
5563 scan_ctl(argc, argv, "FOV", -1, "-", ctl->fov);
5564 if (ctl->fov[0] != '-')
5565 read_shape(ctl->fov, ctl->fov_dz, ctl->fov_w, &ctl->fov_n);
5566
5567 /* Retrieval interface... */
5568 ctl->retp_zmin = scan_ctl(argc, argv, "RETP_ZMIN", -1, "-999", NULL);
5569 ctl->retp_zmax = scan_ctl(argc, argv, "RETP_ZMAX", -1, "-999", NULL);
5570 ctl->rett_zmin = scan_ctl(argc, argv, "RETT_ZMIN", -1, "-999", NULL);
5571 ctl->rett_zmax = scan_ctl(argc, argv, "RETT_ZMAX", -1, "-999", NULL);
5572 for (int ig = 0; ig < ctl->ng; ig++) {
5573 ctl->retq_zmin[ig] = scan_ctl(argc, argv, "RETQ_ZMIN", ig, "-999", NULL);
5574 ctl->retq_zmax[ig] = scan_ctl(argc, argv, "RETQ_ZMAX", ig, "-999", NULL);
5575 }
5576 for (int iw = 0; iw < ctl->nw; iw++) {
5577 ctl->retk_zmin[iw] = scan_ctl(argc, argv, "RETK_ZMIN", iw, "-999", NULL);
5578 ctl->retk_zmax[iw] = scan_ctl(argc, argv, "RETK_ZMAX", iw, "-999", NULL);
5579 }
5580 ctl->ret_clz = (int) scan_ctl(argc, argv, "RET_CLZ", -1, "0", NULL);
5581 ctl->ret_cldz = (int) scan_ctl(argc, argv, "RET_CLDZ", -1, "0", NULL);
5582 ctl->ret_clk = (int) scan_ctl(argc, argv, "RET_CLK", -1, "0", NULL);
5583 ctl->ret_sft = (int) scan_ctl(argc, argv, "RET_SFT", -1, "0", NULL);
5584 ctl->ret_sfeps = (int) scan_ctl(argc, argv, "RET_SFEPS", -1, "0", NULL);
5585
5586 /* Output flags... */
5587 ctl->write_bbt = (int) scan_ctl(argc, argv, "WRITE_BBT", -1, "0", NULL);
5588 ctl->write_matrix =
5589 (int) scan_ctl(argc, argv, "WRITE_MATRIX", -1, "0", NULL);
5590
5591 /* External forward models... */
5592 ctl->formod = (int) scan_ctl(argc, argv, "FORMOD", -1, "1", NULL);
5593 scan_ctl(argc, argv, "RFMBIN", -1, "-", ctl->rfmbin);
5594 scan_ctl(argc, argv, "RFMHIT", -1, "-", ctl->rfmhit);
5595 for (int ig = 0; ig < ctl->ng; ig++)
5596 scan_ctl(argc, argv, "RFMXSC", ig, "-", ctl->rfmxsc[ig]);
5597}
int find_emitter(const ctl_t *ctl, const char *emitter)
Find gas species index by name.
Definition: jurassic.c:3394
double scan_ctl(int argc, char *argv[], const char *varname, const int arridx, const char *defvalue, char *value)
Scan control file or command-line arguments for a configuration variable.
Definition: jurassic.c:6413
void read_shape(const char *filename, double *x, double *y, int *n)
Read a two-column shape function from an ASCII file.
Definition: jurassic.c:6091
int write_matrix
Write matrix file (0=no, 1=yes).
Definition: jurassic.h:1437
char tblbase[LEN]
Basename for table files and filter function files.
Definition: jurassic.h:1347
int obsfmt
Observation data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1356
int tblfmt
Look-up table file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1350
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◆ read_matrix()

void read_matrix ( const char *  dirname,
const char *  filename,
gsl_matrix *  matrix 
)

Read a numerical matrix from an ASCII file.

Loads values into a GSL matrix from a text file containing sparse or indexed entries in tabular format.
Each valid line is parsed for row and column indices and the corresponding value.

Parameters
[in]dirnameDirectory path containing the matrix file (may be NULL).
[in]filenameName of the matrix file to read.
[out]matrixPointer to the GSL matrix to be filled with values.
  • Opens the specified file and scans it line by line.
  • Initializes the matrix to zero before filling.
  • Each line is expected to contain at least 13 formatted fields, where:
    • The first integer gives the row index,
    • The seventh integer gives the column index,
    • The thirteenth floating-point number is the matrix element value.
  • All successfully parsed entries are written to the corresponding positions in the GSL matrix using gsl_matrix_set().
  • Non-matching lines are ignored.
See also
gsl_matrix, read_ctl, read_atm
Warning
  • Aborts if the file cannot be opened.
  • Expects 0-based integer indices consistent with matrix dimensions.
  • Lines not matching the expected 13-field format are skipped silently.
Author
Lars Hoffmann

Definition at line 5601 of file jurassic.c.

5604 {
5605
5606 FILE *in;
5607
5608 char dum[LEN], file[LEN], line[LEN];
5609
5610 double value;
5611
5612 int i, j;
5613
5614 /* Set filename... */
5615 if (dirname != NULL)
5616 sprintf(file, "%s/%s", dirname, filename);
5617 else
5618 sprintf(file, "%s", filename);
5619
5620 /* Write info... */
5621 LOG(1, "Read matrix: %s", file);
5622
5623 /* Open file... */
5624 if (!(in = fopen(file, "r")))
5625 ERRMSG("Cannot open file!");
5626
5627 /* Read data... */
5628 gsl_matrix_set_zero(matrix);
5629 while (fgets(line, LEN, in))
5630 if (sscanf(line, "%d %s %s %s %s %s %d %s %s %s %s %s %lg",
5631 &i, dum, dum, dum, dum, dum,
5632 &j, dum, dum, dum, dum, dum, &value) == 13)
5633 gsl_matrix_set(matrix, (size_t) i, (size_t) j, value);
5634
5635 /* Close file... */
5636 fclose(in);
5637}

◆ read_obs()

void read_obs ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
obs_t obs 
)

Read observation data from an input file.

This function reads atmospheric observation data from the specified file and stores the results in the provided obs_t structure. The file may be in ASCII or binary format, depending on the control settings passed via ctl_t. After reading the data, the routine performs basic validation (e.g., verifies that at least one observation entry was loaded) and logs diagnostic statistics such as ranges of times, observer coordinates, view point coordinates, tangent point coordinates, radiance or brightness temperature values, and transmittances.

The input file path is constructed from the provided directory and filename. If a directory name is given, the file is assumed to reside within it; otherwise, the filename is used as-is. Depending on the value of ctl->obsfmt, the function dispatches either to read_obs_asc() for ASCII files or read_obs_bin() for binary files.

Parameters
[in]dirnameDirectory containing the input file, or NULL to use only filename.
[in]filenameName of the observation file to read.
[in]ctlPointer to a control structure specifying file format and other options.
[out]obsPointer to an observation structure where the data will be stored.
Note
The function terminates with an error message if the file cannot be opened, the observation format is unknown, or no valid data is read.
Warning
The obs structure must be properly allocated before calling this function. The function assumes its arrays are large enough to store all values contained in the input file.
See also
read_obs_asc(), read_obs_bin(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 5641 of file jurassic.c.

5645 {
5646
5647 char file[LEN];
5648
5649 /* Set filename... */
5650 if (dirname != NULL)
5651 sprintf(file, "%s/%s", dirname, filename);
5652 else
5653 sprintf(file, "%s", filename);
5654
5655 /* Write info... */
5656 LOG(1, "Read observation data: %s", file);
5657
5658 /* Read ASCII data... */
5659 if (ctl->obsfmt == 1)
5660 read_obs_asc(file, ctl, obs);
5661
5662 /* Read binary data... */
5663 else if (ctl->obsfmt == 2)
5664 read_obs_bin(file, ctl, obs);
5665
5666 /* Read netCDF data... */
5667 else if (ctl->obsfmt == 3)
5668 read_obs_nc(file, ctl, obs, 0);
5669
5670 /* Check number of points... */
5671 if (obs->nr < 1)
5672 ERRMSG("Could not read any data!");
5673
5674 /* Write info... */
5675 double mini, maxi;
5676 LOG(2, "Number of ray paths: %d", obs->nr);
5677 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
5678 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5679 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
5680 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
5681 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
5682 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
5683 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
5684 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
5685 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
5686 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
5687 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
5688 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
5689 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
5690 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
5691 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
5692 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
5693 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
5694 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
5695 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
5696 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
5697 for (int id = 0; id < ctl->nd; id++) {
5698 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
5699 if (ctl->write_bbt) {
5700 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
5701 ctl->nu[id], mini, maxi);
5702 } else {
5703 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
5704 ctl->nu[id], mini, maxi);
5705 }
5706 }
5707 for (int id = 0; id < ctl->nd; id++) {
5708 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
5709 if (ctl->write_bbt) {
5710 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
5711 ctl->nu[id], mini, maxi);
5712 }
5713 }
5714}
void read_obs_bin(const char *filename, const ctl_t *ctl, obs_t *obs)
Read binary-formatted observation data from a file.
Definition: jurassic.c:5763
void read_obs_nc(const char *filename, const ctl_t *ctl, obs_t *obs, const int profile)
Read one observation profile from a NetCDF file.
Definition: jurassic.c:5841
void read_obs_asc(const char *filename, const ctl_t *ctl, obs_t *obs)
Read ASCII-formatted observation data from a file.
Definition: jurassic.c:5718
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◆ read_obs_asc()

void read_obs_asc ( const char *  filename,
const ctl_t ctl,
obs_t obs 
)

Read ASCII-formatted observation data from a file.

This function reads atmospheric observation data from an ASCII text file specified by its filename and stores it in the provided obs_t structure. Each line in the input file is expected to contain numerical values representing a single observation record, including time, observer coordinates, view point coordinates, tangent point coordinates, radiance or brightness temperature values, and transmittances. The number of radiance and transmittance values per record is determined by ctl->nd.

The function reads the file line by line, tokenizes the data fields, and fills the corresponding observation arrays. The number of successfully read observation entries is stored in obs->nr.

Parameters
filenamePath to the ASCII file containing the observation data.
ctlControl structure containing metadata such as the number of spectral channels (nd).
obsObservation structure where the parsed data will be stored.
Note
This is a C function and assumes that the obs structure has been preallocated with sufficient space for all records and spectral channels. No memory allocation is performed inside this routine.
Warning
The function terminates with an error message if the number of entries exceeds the predefined limit NR.
See also
read_obs(), read_obs_bin(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 5718 of file jurassic.c.

5721 {
5722
5723 char line[LEN], *tok;
5724
5725 /* Init... */
5726 obs->nr = 0;
5727
5728 /* Open file... */
5729 FILE *in;
5730 if (!(in = fopen(filename, "r")))
5731 ERRMSG("Cannot open file!");
5732
5733 /* Read line... */
5734 while (fgets(line, LEN, in)) {
5735
5736 /* Read data... */
5737 TOK(line, tok, "%lg", obs->time[obs->nr]);
5738 TOK(NULL, tok, "%lg", obs->obsz[obs->nr]);
5739 TOK(NULL, tok, "%lg", obs->obslon[obs->nr]);
5740 TOK(NULL, tok, "%lg", obs->obslat[obs->nr]);
5741 TOK(NULL, tok, "%lg", obs->vpz[obs->nr]);
5742 TOK(NULL, tok, "%lg", obs->vplon[obs->nr]);
5743 TOK(NULL, tok, "%lg", obs->vplat[obs->nr]);
5744 TOK(NULL, tok, "%lg", obs->tpz[obs->nr]);
5745 TOK(NULL, tok, "%lg", obs->tplon[obs->nr]);
5746 TOK(NULL, tok, "%lg", obs->tplat[obs->nr]);
5747 for (int id = 0; id < ctl->nd; id++)
5748 TOK(NULL, tok, "%lg", obs->rad[id][obs->nr]);
5749 for (int id = 0; id < ctl->nd; id++)
5750 TOK(NULL, tok, "%lg", obs->tau[id][obs->nr]);
5751
5752 /* Increment counter... */
5753 if ((++obs->nr) > NR)
5754 ERRMSG("Too many rays!");
5755 }
5756
5757 /* Close file... */
5758 fclose(in);
5759}

◆ read_obs_bin()

void read_obs_bin ( const char *  filename,
const ctl_t ctl,
obs_t obs 
)

Read binary-formatted observation data from a file.

This C function reads observation data stored in a compact binary format from a file specified by its filename and initializes the provided obs_t structure with the values retrieved. The binary format begins with a header that contains a magic identifier and the expected number of spectral channels. The number of channels in the file must match ctl->nd, otherwise the routine aborts with an error.

After verifying the header, the function reads the number of ray paths and then sequentially loads arrays corresponding to observation time, observer location, view point location, tangent point location, radiance (or brightness temperature), and transmittance data. The number of ray paths is assigned to obs->nr. All arrays must have been allocated prior to calling this function.

Parameters
filenamePath to the binary file containing the observation data.
ctlPointer to a control structure specifying the number of spectral channels (nd) and other configuration settings.
obsPointer to an observation structure where the decoded binary data will be stored.
Note
This function does not perform any memory allocation. The caller must ensure that all arrays in obs have sufficient capacity for the data being read.
Warning
The function terminates with an error message if the binary header does not match the expected channel count, if more data than allowed by NR is encountered, or if any read operation fails.
See also
read_obs(), read_obs_asc(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 5763 of file jurassic.c.

5766 {
5767
5768 /* Open file... */
5769 FILE *in;
5770 if (!(in = fopen(filename, "r")))
5771 ERRMSG("Cannot open file!");
5772
5773 /* Read header... */
5774 char magic[4];
5775 FREAD(magic, char,
5776 4,
5777 in);
5778 if (memcmp(magic, "OBS1", 4) != 0)
5779 ERRMSG("Invalid magic string!");
5780
5781 int nd;
5782 FREAD(&nd, int,
5783 1,
5784 in);
5785 if (nd != ctl->nd)
5786 ERRMSG("Error reading file header!");
5787
5788 /* Read data... */
5789 size_t nr;
5790 FREAD(&nr, size_t,
5791 1,
5792 in);
5793 obs->nr = (int) nr;
5794 if (obs->nr > NR)
5795 ERRMSG("Too many ray paths!");
5796 FREAD(obs->time, double,
5797 nr,
5798 in);
5799 FREAD(obs->obsz, double,
5800 nr,
5801 in);
5802 FREAD(obs->obslon, double,
5803 nr,
5804 in);
5805 FREAD(obs->obslat, double,
5806 nr,
5807 in);
5808 FREAD(obs->vpz, double,
5809 nr,
5810 in);
5811 FREAD(obs->vplon, double,
5812 nr,
5813 in);
5814 FREAD(obs->vplat, double,
5815 nr,
5816 in);
5817 FREAD(obs->tpz, double,
5818 nr,
5819 in);
5820 FREAD(obs->tplon, double,
5821 nr,
5822 in);
5823 FREAD(obs->tplat, double,
5824 nr,
5825 in);
5826 for (int id = 0; id < ctl->nd; id++)
5827 FREAD(obs->rad[id], double,
5828 nr,
5829 in);
5830 for (int id = 0; id < ctl->nd; id++)
5831 FREAD(obs->tau[id], double,
5832 nr,
5833 in);
5834
5835 /* Close file... */
5836 fclose(in);
5837}

◆ read_obs_nc()

void read_obs_nc ( const char *  filename,
const ctl_t ctl,
obs_t obs,
const int  profile 
)

Read one observation profile from a NetCDF file.

This function reads all geometric and spectral observation data for a single profile from a NetCDF file using the variable-per-channel layout.

The NetCDF file is expected to contain:

  • A dimension profile (unlimited)
  • A dimension ray (number of ray paths)
  • A variable nray(profile) giving the number of rays for each profile
  • Geometry variables with dimensions (profile, ray):
    • time, obs_z, obs_lon, obs_lat
    • vp_z, vp_lon, vp_lat
    • tp_z, tp_lon, tp_lat
  • Spectral variables with dimensions (profile, ray), one per channel:
    • rad_%.4f (radiance or brightness temperature)
    • tau_%.4f (transmittance) where the formatted frequency corresponds to ctl->nu[id].

All data for the selected profile are read into the supplied obs_t structure. The number of rays is read from nray(profile) and stored in obs->nr. If the number of rays exceeds NR or is less than one, an error is raised.

Parameters
filenamePath to the NetCDF observation file.
ctlPointer to the control structure defining spectral channels.
obsPointer to the observation structure to be filled.
profileZero-based index of the profile to read.
Author
Lars Hoffmann

Definition at line 5841 of file jurassic.c.

5845 {
5846
5847 int ncid, var_nray = -1, var_time = -1, var_obsz = -1, var_obslon =
5848 -1, var_obslat = -1, var_vpz = -1, var_vplon = -1, var_vplat =
5849 -1, var_tpz = -1, var_tplon = -1, var_tplat =
5850 -1, var_rad[ND], var_tau[ND];
5851
5852 char varname[LEN];
5853
5854 /* Open file... */
5855 NC(nc_open(filename, NC_NOWRITE, &ncid));
5856
5857 /* Initialize hyperslab... */
5858 size_t start[2] = { (size_t) profile, 0 };
5859 size_t count[2] = { 1, 0 };
5860
5861 /* Read nray(profile) -> obs->nr */
5862 NC(nc_inq_varid(ncid, "nray", &var_nray));
5863 NC(nc_get_vara_int(ncid, var_nray, start, count, &obs->nr));
5864 if (obs->nr < 1 || obs->nr > NR)
5865 ERRMSG("Number of ray paths out of range!");
5866
5867 /* Update hyperslab... */
5868 count[1] = (size_t) obs->nr;
5869
5870 /* Inquire geometry variables... */
5871 NC(nc_inq_varid(ncid, "time", &var_time));
5872 NC(nc_inq_varid(ncid, "obs_z", &var_obsz));
5873 NC(nc_inq_varid(ncid, "obs_lon", &var_obslon));
5874 NC(nc_inq_varid(ncid, "obs_lat", &var_obslat));
5875
5876 NC(nc_inq_varid(ncid, "vp_z", &var_vpz));
5877 NC(nc_inq_varid(ncid, "vp_lon", &var_vplon));
5878 NC(nc_inq_varid(ncid, "vp_lat", &var_vplat));
5879
5880 NC(nc_inq_varid(ncid, "tp_z", &var_tpz));
5881 NC(nc_inq_varid(ncid, "tp_lon", &var_tplon));
5882 NC(nc_inq_varid(ncid, "tp_lat", &var_tplat));
5883
5884 /* Inquire spectral variables per channel... */
5885 for (int id = 0; id < ctl->nd; id++) {
5886 sprintf(varname, "rad_%.4f", ctl->nu[id]);
5887 NC(nc_inq_varid(ncid, varname, &var_rad[id]));
5888
5889 sprintf(varname, "tau_%.4f", ctl->nu[id]);
5890 NC(nc_inq_varid(ncid, varname, &var_tau[id]));
5891 }
5892
5893 /* Read geometry... */
5894 NC(nc_get_vara_double(ncid, var_time, start, count, obs->time));
5895 NC(nc_get_vara_double(ncid, var_obsz, start, count, obs->obsz));
5896 NC(nc_get_vara_double(ncid, var_obslon, start, count, obs->obslon));
5897 NC(nc_get_vara_double(ncid, var_obslat, start, count, obs->obslat));
5898
5899 NC(nc_get_vara_double(ncid, var_vpz, start, count, obs->vpz));
5900 NC(nc_get_vara_double(ncid, var_vplon, start, count, obs->vplon));
5901 NC(nc_get_vara_double(ncid, var_vplat, start, count, obs->vplat));
5902
5903 NC(nc_get_vara_double(ncid, var_tpz, start, count, obs->tpz));
5904 NC(nc_get_vara_double(ncid, var_tplon, start, count, obs->tplon));
5905 NC(nc_get_vara_double(ncid, var_tplat, start, count, obs->tplat));
5906
5907 /* Read radiance and transmittance... */
5908 for (int id = 0; id < ctl->nd; id++) {
5909 NC(nc_get_vara_double(ncid, var_rad[id], start, count, obs->rad[id]));
5910 NC(nc_get_vara_double(ncid, var_tau[id], start, count, obs->tau[id]));
5911 }
5912
5913 /* Close file... */
5914 NC(nc_close(ncid));
5915}

◆ read_obs_rfm()

double read_obs_rfm ( const char *  basename,
const double  z,
const double *  nu,
const double *  f,
const int  n 
)

Read and spectrally convolve an RFM output spectrum.

Opens the appropriate RFM ASCII spectrum file for a given tangent or observation altitude and convolves the high-resolution spectrum with a provided instrument filter function.
Returns the integrated (filtered) radiance value.

Parameters
[in]basenameBase filename of the RFM output (e.g. "rad" or "tra").
[in]zAltitude [km] used to select the corresponding RFM file.
[in]nuWavenumber grid [cm⁻¹] of the filter function.
[in]fFilter transmission values corresponding to nu.
[in]nNumber of points in nu and f arrays.
Returns
Filtered radiance value integrated over the instrument bandpass.
  • The routine looks for an RFM output file named basename_<altitude_in_meters>.asc (e.g. rad_04500.asc).
  • If not found, it retries with altitude+1 meter to tolerate rounding.
  • The file is read using read_rfm_spec() into arrays of wavenumbers (nurfm) and radiances (rad).
  • The input filter function \( f(\nu) \) is linearly interpolated onto the RFM wavenumber grid, and the spectrum is convolved as

    \[ R = \frac{\int f(\nu) \, I(\nu) \, d\nu}{\int f(\nu) \, d\nu} \]

  • Linear interpolation is used for both spectral alignment and filter sampling.
  • Returns the resulting band-averaged radiance in the same units as the input.
See also
read_rfm_spec, locate_irr, LIN, formod_rfm
Warning
  • Aborts if the corresponding RFM file cannot be found.
  • Assumes nu and f arrays are monotonic and have at least two points.
  • Files must contain RFM ASCII spectra in expected column format.
Author
Lars Hoffmann

Definition at line 5919 of file jurassic.c.

5924 {
5925
5926 FILE *in;
5927
5928 char filename[LEN];
5929
5930 double filt, fsum = 0, nu2[NSHAPE], *nurfm, *rad, radsum = 0;
5931
5932 int npts;
5933
5934 /* Allocate... */
5935 ALLOC(nurfm, double,
5936 RFMNPTS);
5937 ALLOC(rad, double,
5938 RFMNPTS);
5939
5940 /* Search RFM spectrum... */
5941 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000));
5942 if (!(in = fopen(filename, "r"))) {
5943 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000) + 1);
5944 if (!(in = fopen(filename, "r")))
5945 ERRMSG("Cannot find RFM data file!");
5946 }
5947 fclose(in);
5948
5949 /* Read RFM spectrum... */
5950 read_rfm_spec(filename, nurfm, rad, &npts);
5951
5952 /* Set wavenumbers... */
5953 nu2[0] = nu[0];
5954 nu2[n - 1] = nu[n - 1];
5955 for (int i = 1; i < n - 1; i++)
5956 nu2[i] = LIN(0.0, nu2[0], n - 1.0, nu2[n - 1], i);
5957
5958 /* Convolute... */
5959 for (int ipts = 0; ipts < npts; ipts++)
5960 if (nurfm[ipts] >= nu2[0] && nurfm[ipts] <= nu2[n - 1]) {
5961 const int idx = locate_irr(nu2, n, nurfm[ipts]);
5962 filt = LIN(nu2[idx], f[idx], nu2[idx + 1], f[idx + 1], nurfm[ipts]);
5963 fsum += filt;
5964 radsum += filt * rad[ipts];
5965 }
5966
5967 /* Free... */
5968 free(nurfm);
5969 free(rad);
5970
5971 /* Return radiance... */
5972 return radsum / fsum;
5973}
void read_rfm_spec(const char *filename, double *nu, double *rad, int *npts)
Read a Reference Forward Model (RFM) ASCII spectrum.
Definition: jurassic.c:6030
#define RFMNPTS
Maximum number of RFM spectral grid points.
Definition: jurassic.h:323
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◆ read_ret()

void read_ret ( int  argc,
char *  argv[],
const ctl_t ctl,
ret_t ret 
)

Read retrieval configuration and error parameters.

Initializes the retrieval control structure (ret_t) by reading all iteration and uncertainty parameters from the command line or an input control file using the scan_ctl() interface.

Parameters
[in]argcNumber of command-line arguments.
[in]argvCommand-line argument vector.
[in]ctlPointer to global control structure (ctl_t) defining the number of emitters, detectors, windows, clouds, etc.
[out]retPointer to retrieval configuration structure (ret_t) to be populated with iteration and error settings.

The function performs the following initialization steps:

  1. Iteration control parameters
    • KERNEL_RECOMP — number of iterations between kernel recomputations.
    • CONV_ITMAX — maximum number of retrieval iterations.
    • CONV_DMIN — minimum normalized step size for convergence.
  2. Error analysis flag
    • ERR_ANA — enables or disables retrieval error analysis (0 = off, 1 = on).
  3. Instrument and forward model errors
    • ERR_FORMOD[id] — relative (%) forward model uncertainty per detector channel.
    • ERR_NOISE[id] — absolute instrument noise per detector channel
      [W/(m²·sr·cm⁻¹)] or [K] depending on write_bbt.
  4. Pressure and temperature retrieval uncertainties
    • ERR_PRESS, ERR_PRESS_CZ, ERR_PRESS_CH — pressure error [%] and correlation lengths [km].
    • ERR_TEMP, ERR_TEMP_CZ, ERR_TEMP_CH — temperature error [K] and correlation lengths [km].
  5. Volume mixing ratio (VMR) errors
    • ERR_Q[ig], ERR_Q_CZ[ig], ERR_Q_CH[ig] — per gas [%] and correlation lengths [km].
  6. Extinction errors
    • ERR_K[iw], ERR_K_CZ[iw], ERR_K_CH[iw] — per spectral window [km⁻¹] and correlation lengths [km].
  7. Cloud retrieval parameters
    • ERR_CLZ — cloud top height error [km].
    • ERR_CLDZ — cloud depth error [km].
    • ERR_CLK[icl] — cloud extinction error per frequency [km⁻¹].
  8. Surface retrieval parameters
    • ERR_SFT — surface temperature error [K].
    • ERR_SFEPS[isf] — surface emissivity errors (dimensionless).
See also
scan_ctl, set_cov_apr, set_cov_meas, ret_t, ctl_t
Note
  • Each parameter can be specified either in the control file or on the command line (the latter overrides file values).
  • Default values are used when a parameter is not explicitly defined.
  • Correlation lengths of -999 indicate uncorrelated (diagonal) treatment.
Warning
  • Input validation is minimal; ensure consistency between ctl and ret dimensions.
  • Missing mandatory parameters trigger runtime errors.
Author
Lars Hoffmann

Definition at line 5977 of file jurassic.c.

5981 {
5982
5983 /* Iteration control... */
5984 ret->kernel_recomp =
5985 (int) scan_ctl(argc, argv, "KERNEL_RECOMP", -1, "3", NULL);
5986 ret->conv_itmax = (int) scan_ctl(argc, argv, "CONV_ITMAX", -1, "30", NULL);
5987 ret->conv_dmin = scan_ctl(argc, argv, "CONV_DMIN", -1, "0.1", NULL);
5988
5989 /* Error analysis... */
5990 ret->err_ana = (int) scan_ctl(argc, argv, "ERR_ANA", -1, "0", NULL);
5991
5992 for (int id = 0; id < ctl->nd; id++)
5993 ret->err_formod[id] = scan_ctl(argc, argv, "ERR_FORMOD", id, "0", NULL);
5994
5995 for (int id = 0; id < ctl->nd; id++)
5996 ret->err_noise[id] = scan_ctl(argc, argv, "ERR_NOISE", id, "0", NULL);
5997
5998 ret->err_press = scan_ctl(argc, argv, "ERR_PRESS", -1, "0", NULL);
5999 ret->err_press_cz = scan_ctl(argc, argv, "ERR_PRESS_CZ", -1, "-999", NULL);
6000 ret->err_press_ch = scan_ctl(argc, argv, "ERR_PRESS_CH", -1, "-999", NULL);
6001
6002 ret->err_temp = scan_ctl(argc, argv, "ERR_TEMP", -1, "0", NULL);
6003 ret->err_temp_cz = scan_ctl(argc, argv, "ERR_TEMP_CZ", -1, "-999", NULL);
6004 ret->err_temp_ch = scan_ctl(argc, argv, "ERR_TEMP_CH", -1, "-999", NULL);
6005
6006 for (int ig = 0; ig < ctl->ng; ig++) {
6007 ret->err_q[ig] = scan_ctl(argc, argv, "ERR_Q", ig, "0", NULL);
6008 ret->err_q_cz[ig] = scan_ctl(argc, argv, "ERR_Q_CZ", ig, "-999", NULL);
6009 ret->err_q_ch[ig] = scan_ctl(argc, argv, "ERR_Q_CH", ig, "-999", NULL);
6010 }
6011
6012 for (int iw = 0; iw < ctl->nw; iw++) {
6013 ret->err_k[iw] = scan_ctl(argc, argv, "ERR_K", iw, "0", NULL);
6014 ret->err_k_cz[iw] = scan_ctl(argc, argv, "ERR_K_CZ", iw, "-999", NULL);
6015 ret->err_k_ch[iw] = scan_ctl(argc, argv, "ERR_K_CH", iw, "-999", NULL);
6016 }
6017
6018 ret->err_clz = scan_ctl(argc, argv, "ERR_CLZ", -1, "0", NULL);
6019 ret->err_cldz = scan_ctl(argc, argv, "ERR_CLDZ", -1, "0", NULL);
6020 for (int icl = 0; icl < ctl->ncl; icl++)
6021 ret->err_clk[icl] = scan_ctl(argc, argv, "ERR_CLK", icl, "0", NULL);
6022
6023 ret->err_sft = scan_ctl(argc, argv, "ERR_SFT", -1, "0", NULL);
6024 for (int isf = 0; isf < ctl->nsf; isf++)
6025 ret->err_sfeps[isf] = scan_ctl(argc, argv, "ERR_SFEPS", isf, "0", NULL);
6026}
double err_press_cz
Vertical correlation length for pressure error [km].
Definition: jurassic.h:1601
double err_press
Pressure error [%].
Definition: jurassic.h:1598
double err_k_cz[NW]
Vertical correlation length for extinction error [km].
Definition: jurassic.h:1628
double err_k_ch[NW]
Horizontal correlation length for extinction error [km].
Definition: jurassic.h:1631
double err_temp_cz
Vertical correlation length for temperature error [km].
Definition: jurassic.h:1610
double err_formod[ND]
Forward model error [%].
Definition: jurassic.h:1592
double err_temp
Temperature error [K].
Definition: jurassic.h:1607
double err_q_cz[NG]
Vertical correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1619
double err_noise[ND]
Noise error [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1595
double err_clz
Cloud height error [km].
Definition: jurassic.h:1634
double err_sft
Surface temperature error [K].
Definition: jurassic.h:1643
double err_clk[NCL]
Cloud extinction error [km^-1].
Definition: jurassic.h:1640
double err_temp_ch
Horizontal correlation length for temperature error [km].
Definition: jurassic.h:1613
double err_cldz
Cloud depth error [km].
Definition: jurassic.h:1637
double err_press_ch
Horizontal correlation length for pressure error [km].
Definition: jurassic.h:1604
double err_q_ch[NG]
Horizontal correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1622
double err_q[NG]
Volume mixing ratio error [%].
Definition: jurassic.h:1616
double err_sfeps[NSF]
Surface emissivity error.
Definition: jurassic.h:1646
double err_k[NW]
Extinction error [km^-1].
Definition: jurassic.h:1625
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◆ read_rfm_spec()

void read_rfm_spec ( const char *  filename,
double *  nu,
double *  rad,
int *  npts 
)

Read a Reference Forward Model (RFM) ASCII spectrum.

Parses an RFM output file containing high-resolution spectral radiances and fills the provided arrays with wavenumber and radiance values.

Parameters
[in]filenameName of the RFM ASCII spectrum file (e.g. "rad_04500.asc").
[out]nuArray to receive the spectral wavenumber grid [cm⁻¹].
[out]radArray to receive the corresponding radiances.
[out]nptsPointer to integer receiving the number of spectral points.
  • Expects the RFM file to begin with a four-line header. The final header line must contain, in order:
    • the number of spectral points (npts),
    • starting wavenumber nu0 [cm⁻¹],
    • spectral increment dnu [cm⁻¹],
    • ending wavenumber nu1 [cm⁻¹].
  • Radiance data follow as a sequence of floating-point values, separated by spaces, tabs, or line breaks.
  • The wavenumber grid is reconstructed using linear interpolation between nu0 and nu1:

    \[ \nu_i = \nu_0 + i \, \frac{\nu_1 - \nu_0}{N - 1}, \quad i = 0,\dots,N-1 \]

  • Uses dynamic line buffering and token-based parsing for efficiency.
See also
read_obs_rfm, locate_irr, LIN, formod_rfm
Warning
  • Aborts if the file cannot be opened or has an invalid header format.
  • Aborts if the number of grid points exceeds RFMNPTS.
  • Assumes ASCII format consistent with standard RFM .asc output.
Note
This routine reads only the spectral intensity data — additional metadata (e.g., gas profiles, geometry) must be handled separately.
Author
Lars Hoffmann

Definition at line 6030 of file jurassic.c.

6034 {
6035
6036 FILE *in;
6037
6038 char *line = NULL, *tok;
6039
6040 size_t line_buf_size = 0;
6041
6042 double dnu, nu0, nu1;
6043
6044 int ipts = 0;
6045
6046 /* Write info... */
6047 LOG(1, "Read RFM data: %s", filename);
6048
6049 /* Open file... */
6050 if (!(in = fopen(filename, "r")))
6051 ERRMSG("Cannot open file!");
6052
6053 /* Read header... */
6054 for (int i = 0; i < 4; i++)
6055 if (getline(&line, &line_buf_size, in) == -1)
6056 ERRMSG("Error while reading file header!");
6057 if (sscanf(line, "%d %lg %lg %lg", npts, &nu0, &dnu, &nu1) != 4)
6058 ERRMSG("Invalid spectrum header format!");
6059
6060 /* Check number of spectral grid points... */
6061 if (*npts > RFMNPTS)
6062 ERRMSG("Too many spectral grid points!");
6063
6064 /* Read radiance data... */
6065 while (getline(&line, &line_buf_size, in) != -1 && ipts < *npts) {
6066 tok = strtok(line, " \t\n");
6067 while (tok != NULL && ipts < *npts) {
6068 if (sscanf(tok, "%lg", &rad[ipts]) == 1)
6069 ipts++;
6070 tok = strtok(NULL, " \t\n");
6071 }
6072 }
6073
6074 /* Check number of spectral grid points... */
6075 if (ipts != *npts)
6076 ERRMSG("Error while reading RFM data!");
6077
6078 /* Compute wavenumbers... */
6079 for (ipts = 0; ipts < *npts; ipts++)
6080 nu[ipts] = LIN(0.0, nu0, (double) (*npts - 1), nu1, (double) ipts);
6081
6082 /* Close file... */
6083 fclose(in);
6084
6085 /* Free.. */
6086 free(line);
6087}

◆ read_shape()

void read_shape ( const char *  filename,
double *  x,
double *  y,
int *  n 
)

Read a two-column shape function from an ASCII file.

Loads tabulated x–y data pairs (e.g., filter transmission or field-of-view weighting function) into the provided arrays.

Parameters
[in]filenameName of the ASCII file containing the shape function.
[out]xArray to receive the abscissa values.
[out]yArray to receive the ordinate values.
[out]nPointer to integer receiving the number of data points read.
  • The input file must contain at least two whitespace-separated columns:
    • Column 1: abscissa (x), typically wavenumber [cm⁻¹] or angular offset [deg].
    • Column 2: ordinate (y), typically transmission or weighting value.
  • Comment lines or malformed entries are ignored.
  • The routine logs the number of data points and their value ranges.
  • Data are stored directly in the provided arrays for subsequent interpolation or convolution.
See also
gsl_stats_minmax, formod_fov, init_srcfunc, read_obs_rfm
Warning
  • Aborts if the file cannot be opened or if fewer than two valid points are read.
  • Aborts if the number of data points exceeds NSHAPE.
  • Assumes numeric ASCII format and monotonic ordering of x values.
Note
This generic shape reader is used for both spectral filter functions and angular field-of-view profiles.
Author
Lars Hoffmann

Definition at line 6091 of file jurassic.c.

6095 {
6096
6097 FILE *in;
6098
6099 char line[LEN];
6100
6101 /* Write info... */
6102 LOG(1, "Read shape function: %s", filename);
6103
6104 /* Open file... */
6105 if (!(in = fopen(filename, "r")))
6106 ERRMSG("Cannot open file!");
6107
6108 /* Read data... */
6109 *n = 0;
6110 while (fgets(line, LEN, in))
6111 if (sscanf(line, "%lg %lg", &x[*n], &y[*n]) == 2)
6112 if ((++(*n)) > NSHAPE)
6113 ERRMSG("Too many data points!");
6114
6115 /* Close file... */
6116 fclose(in);
6117
6118 /* Check number of data points... */
6119 if (*n < 2)
6120 ERRMSG("Could not read any data!");
6121
6122 /* Write info... */
6123 double mini, maxi;
6124 LOG(2, "Number of data points: %d", *n);
6125 gsl_stats_minmax(&mini, &maxi, x, 1, (size_t) *n);
6126 LOG(2, "Range of x values: %.4f ... %.4f", mini, maxi);
6127 gsl_stats_minmax(&mini, &maxi, y, 1, (size_t) *n);
6128 LOG(2, "Range of y values: %g ... %g", mini, maxi);
6129}

◆ read_tbl()

tbl_t * read_tbl ( const ctl_t ctl)

Read emissivity lookup tables from disk.

Loads emissivity lookup tables for all detector/channel indices id and all emitter/gas indices ig according to the configured table format ctl->tblfmt:

  • ASCII (ctl->tblfmt == 1)
  • compact binary (ctl->tblfmt == 2)
  • netCDF (ctl->tblfmt == 3)

The function allocates and initializes a tbl_t structure, reads the corresponding lookup tables, and (depending on the table format) also loads filter functions.

Missing per-table files (ASCII/binary) or missing netCDF files/variables are not fatal: the reader emits a warning and the corresponding lookup table is treated as empty (i.e., tbl->np[id][ig] == 0).

Diagnostic information about loaded tables (pressure levels, temperature ranges, absorber amounts, emissivity ranges) may be written to the log.

Parameters
[in]ctlPointer to the control structure defining lookup table format, filenames, emitters, and detector/channel frequencies.
Returns
Pointer to an allocated and initialized tbl_t structure containing the loaded lookup tables.
Warning
If an unsupported lookup table format is specified via ctl->tblfmt, the function aborts with an error message.
Note
Memory for the returned structure is dynamically allocated and must be released by the caller.
Author
Lars Hoffmann

Definition at line 6133 of file jurassic.c.

6134 {
6135
6136 /* Allocate... */
6137 tbl_t *tbl;
6138 ALLOC(tbl, tbl_t, 1);
6139
6140 /* Initialize filter function sizes... */
6141 for (int id = 0; id < ctl->nd; id++)
6142 tbl->filt_n[id] = 0;
6143
6144 /* Loop over trace gases... */
6145 for (int ig = 0; ig < ctl->ng; ig++) {
6146
6147 /* Read ASCII look-up tables... */
6148 if (ctl->tblfmt == 1)
6149 for (int id = 0; id < ctl->nd; id++) {
6150 read_tbl_asc(ctl, tbl, id, ig);
6151 TBL_LOG(tbl, id, ig);
6152 }
6153
6154 /* Read binary look-up tables... */
6155 else if (ctl->tblfmt == 2)
6156 for (int id = 0; id < ctl->nd; id++) {
6157 read_tbl_bin(ctl, tbl, id, ig);
6158 TBL_LOG(tbl, id, ig);
6159 }
6160
6161 /* Read netCDF look-up tables... */
6162 else if (ctl->tblfmt == 3) {
6163
6164 /* Open file... */
6165 int ncid;
6166 char filename[2 * LEN];
6167 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
6168 if (nc_open(filename, NC_NOWRITE, &ncid) != NC_NOERR) {
6169 WARN("Missing emissivity table: %s", filename);
6170 continue;
6171 } else
6172 LOG(1, "Read emissivity table: %s", filename);
6173
6174 /* Read channels... */
6175 for (int id = 0; id < ctl->nd; id++) {
6176 read_tbl_nc_channel(ctl, tbl, id, ig, ncid);
6177 TBL_LOG(tbl, id, ig);
6178 }
6179
6180 /* Close file... */
6181 NC(nc_close(ncid));
6182 }
6183 }
6184
6185 /* Calculate log-pressure... */
6186 for (int id = 0; id < ctl->nd; id++)
6187 for (int ig = 0; ig < ctl->ng; ig++)
6188 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
6189 tbl->lnp[id][ig][ip] = log(tbl->p[id][ig][ip]);
6190
6191 /* Read filter functions... */
6192 if (ctl->tblfmt == 1)
6193 for (int id = 0; id < ctl->nd; id++) {
6194 char filename[2 * LEN];
6195 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
6196 read_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
6197 &tbl->filt_n[id]);
6198 }
6199
6200 /* Initialize source function lookup tables... */
6201 init_srcfunc(ctl, tbl);
6202
6203 /* Return pointer... */
6204 return tbl;
6205}
void read_tbl_bin(const ctl_t *ctl, tbl_t *tbl, const int id, const int ig)
Read a single compact binary emissivity lookup table.
Definition: jurassic.c:6332
void init_srcfunc(const ctl_t *ctl, tbl_t *tbl)
Initialize source function lookup tables from emissivity data.
Definition: jurassic.c:3991
void read_tbl_asc(const ctl_t *ctl, tbl_t *tbl, const int id, const int ig)
Read a single ASCII emissivity lookup table.
Definition: jurassic.c:6209
void read_tbl_nc_channel(const ctl_t *ctl, tbl_t *tbl, int id, int ig, int ncid)
Read one packed emissivity lookup table from an open NetCDF file.
Definition: jurassic.c:6376
#define TBL_LOG(tbl, id, ig)
Log detailed statistics of an emissivity look-up table.
Definition: jurassic.h:1022
Emissivity look-up tables.
Definition: jurassic.h:1656
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◆ read_tbl_asc()

void read_tbl_asc ( const ctl_t ctl,
tbl_t tbl,
const int  id,
const int  ig 
)

Read a single ASCII emissivity lookup table.

Reads one ASCII table for detector/channel index id and emitter/gas index ig from a file named:

<ctl->tblbase>_<ctl->nu[id]>_<ctl->emitter[ig]>.tab

The table file contains four columns:

  1. pressure [hPa]
  2. temperature [K]
  3. column density [molecules/cm^2]
  4. emissivity [-]

The routine infers the pressure/temperature/column-density indices from changes in the values read from the file. Values outside the supported ranges for column density or emissivity are skipped and counted.

If the file cannot be opened, a warning is issued and the table is treated as empty (i.e., tbl->np[id][ig] == 0).

Parameters
[in]ctlPointer to control structure specifying filenames and grids.
[in,out]tblPointer to the table structure to be filled.
[in]idDetector/channel index.
[in]igEmitter/gas index.
Warning
Aborts via ERRMSG() if table dimensions exceed TBLNP / TBLNT / TBLNU.
Note
Implementation detail: the ASCII reader may use an internal sentinel during parsing (historically np == -1 such that the first increment yields index 0). On return, tbl->np[id][ig] always represents the number of pressure levels (0 for an empty table).
Author
Lars Hoffmann

Definition at line 6209 of file jurassic.c.

6213 {
6214
6215 /* Initialize... */
6216 double eps, eps_old = -999, press, press_old = -999, temp,
6217 temp_old = -999, u, u_old = -999;
6218 int nrange = 0;
6219
6220 /* Set filename... */
6221 char filename[2 * LEN];
6222 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
6223 ctl->nu[id], ctl->emitter[ig]);
6224
6225 /* Open file... */
6226 FILE *in;
6227 if (!(in = fopen(filename, "r"))) {
6228 WARN("Missing emissivity table: %s", filename);
6229 return;
6230 } else
6231 LOG(1, "Read emissivity table: %s", filename);
6232
6233 /* Init pressure level counter... */
6234 tbl->np[id][ig] = -1;
6235
6236 /* Read data... */
6237 char line[LEN];
6238 while (fgets(line, LEN, in)) {
6239
6240 /* Parse line... */
6241 if (sscanf(line, "%lg %lg %lg %lg", &press, &temp, &u, &eps) != 4)
6242 continue;
6243
6244 /* Check ranges... */
6245 if (u < UMIN || u > UMAX || eps < EPSMIN || eps > EPSMAX) {
6246 nrange++;
6247 continue;
6248 }
6249
6250 /* Determine pressure index... */
6251 if (press != press_old) {
6252 press_old = press;
6253 if ((++tbl->np[id][ig]) >= TBLNP)
6254 ERRMSG("Too many pressure levels!");
6255 tbl->nt[id][ig][tbl->np[id][ig]] = -1;
6256 }
6257
6258 /* Determine temperature index... */
6259 if (temp != temp_old) {
6260 temp_old = temp;
6261 if ((++tbl->nt[id][ig][tbl->np[id][ig]]) >= TBLNT)
6262 ERRMSG("Too many temperatures!");
6263 tbl->nu[id][ig][tbl->np[id][ig]]
6264 [tbl->nt[id][ig][tbl->np[id][ig]]] = -1;
6265
6266 /* Reset dynamic arrays for this (ip,it) node... */
6267 tbl->logu[id][ig][tbl->np[id][ig]]
6268 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6269 tbl->logeps[id][ig][tbl->np[id][ig]]
6270 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6271 }
6272
6273 /* Determine column density index... */
6274 if ((eps > eps_old && u > u_old) || tbl->nu[id][ig][tbl->np[id][ig]]
6275 [tbl->nt[id][ig][tbl->np[id][ig]]] < 0) {
6276 eps_old = eps;
6277 u_old = u;
6278 if ((++tbl->nu[id][ig][tbl->np[id][ig]]
6279 [tbl->nt[id][ig][tbl->np[id][ig]]]) >= TBLNU)
6280 ERRMSG("Too many column densities!");
6281
6282 /* Grow dynamic arrays (nu is used as an index during reading). */
6283 const int ip = tbl->np[id][ig];
6284 const int it = tbl->nt[id][ig][ip];
6285 const int iu = tbl->nu[id][ig][ip][it];
6286 const size_t nnew = (size_t) (iu + 1);
6287
6288 float *tmp = (float *) realloc(tbl->logu[id][ig][ip][it],
6289 nnew * sizeof(float));
6290 if (!tmp)
6291 ERRMSG("Out of memory!");
6292 tbl->logu[id][ig][ip][it] = tmp;
6293
6294 tmp =
6295 (float *) realloc(tbl->logeps[id][ig][ip][it], nnew * sizeof(float));
6296 if (!tmp)
6297 ERRMSG("Out of memory!");
6298 tbl->logeps[id][ig][ip][it] = tmp;
6299 }
6300
6301 /* Store data... */
6302 tbl->p[id][ig][tbl->np[id][ig]] = press;
6303 tbl->t[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6304 = temp;
6305 tbl->logu[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6306 [tbl->nu[id][ig][tbl->np[id][ig]]
6307 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(u);
6308 tbl->logeps[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6309 [tbl->nu[id][ig][tbl->np[id][ig]]
6310 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(eps);
6311 }
6312
6313 /* Increment counters... */
6314 tbl->np[id][ig]++;
6315 for (int ip = 0; ip < tbl->np[id][ig]; ip++) {
6316 tbl->nt[id][ig][ip]++;
6317 for (int it = 0; it < tbl->nt[id][ig][ip]; it++)
6318 tbl->nu[id][ig][ip][it]++;
6319 }
6320
6321 /* Check ranges... */
6322 if (nrange > 0)
6323 WARN("Column density or emissivity out of range (%d data points)!",
6324 nrange);
6325
6326 /* Close file... */
6327 fclose(in);
6328}
#define UMAX
Maximum column density [molecules/cm^2].
Definition: jurassic.h:224
#define TBLNU
Maximum number of column densities per emissivity curve.
Definition: jurassic.h:313
#define TBLNT
Maximum number of temperatures in emissivity tables.
Definition: jurassic.h:308
#define EPSMAX
Maximum emissivity.
Definition: jurassic.h:144
#define TBLNP
Maximum number of pressure levels in emissivity tables.
Definition: jurassic.h:303

◆ read_tbl_bin()

void read_tbl_bin ( const ctl_t ctl,
tbl_t tbl,
const int  id,
const int  ig 
)

Read a single compact binary emissivity lookup table.

Reads one binary table for detector/channel index id and emitter/gas index ig from a file named:

<ctl->tblbase>_<ctl->nu[id]>_<ctl->emitter[ig]>.bin

The file contains a length field followed by a packed byte blob created by tbl_pack():

  • size_t nbytes : number of bytes in the packed blob
  • uint8_t blob[] : packed lookup table data

The blob is unpacked into tbl using tbl_unpack().

If the file cannot be opened, a warning is issued and the table is treated as empty (i.e., tbl->np[id][ig] == 0).

Parameters
[in]ctlPointer to control structure specifying filenames and grids.
[in,out]tblPointer to the table structure to be filled.
[in]idDetector/channel index.
[in]igEmitter/gas index.
Warning
Aborts via ERRMSG() if the file is malformed or unpacking fails.
See also
write_tbl_bin()
tbl_pack()
tbl_unpack()
Author
Lars Hoffmann

Definition at line 6332 of file jurassic.c.

6336 {
6337
6338 /* Set filename... */
6339 char filename[2 * LEN];
6340 sprintf(filename, "%s_%.4f_%s.bin",
6341 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
6342
6343 /* Open file... */
6344 FILE *in = fopen(filename, "rb");
6345 if (!in) {
6346 WARN("Missing emissivity table: %s", filename);
6347 return;
6348 } else
6349 LOG(1, "Read emissivity table: %s", filename);
6350
6351 /* Read length.. */
6352 size_t nbytes;
6353 FREAD(&nbytes, size_t,
6354 1,
6355 in);
6356 if (nbytes <= 0)
6357 ERRMSG("Invalid packed table size!");
6358
6359 /* Read packed blob... */
6360 uint8_t *work = NULL;
6361 ALLOC(work, uint8_t, nbytes);
6362 FREAD(work, uint8_t, nbytes, in);
6363
6364 /* Unpack... */
6365 tbl_unpack(tbl, id, ig, work);
6366
6367 /* Close file... */
6368 fclose(in);
6369
6370 /* Free... */
6371 free(work);
6372}
size_t tbl_unpack(tbl_t *tbl, int id, int ig, const uint8_t *buf)
Unpack a lookup table from a contiguous binary buffer.
Definition: jurassic.c:6808
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◆ read_tbl_nc_channel()

void read_tbl_nc_channel ( const ctl_t ctl,
tbl_t tbl,
int  id,
int  ig,
int  ncid 
)

Read one packed emissivity lookup table from an open NetCDF file.

Loads a previously stored emissivity lookup table for detector/channel index id and emitter (trace gas) index ig from an already opened NetCDF file. The file is expected to have been created by write_tbl_nc().

The NetCDF variable name is derived from the detector/channel frequency:

tbl_XXXX

where XXXX is ctl->nu[id] formatted to four decimal places.

Each variable is stored as a one-dimensional NC_UBYTE array containing a packed lookup-table byte stream. The data are unpacked into tbl using tbl_unpack().

Missing variables are not fatal: a warning is issued and the corresponding table is left empty (i.e., tbl->np[id][ig] remains zero).

The NetCDF file handle ncid must refer to an open file and is not opened or closed by this function.

Parameters
[in]ctlControl structure defining emitters, detectors, and detector/channel frequencies.
[in,out]tblTable structure that receives the unpacked data.
[in]idDetector/channel index selecting ctl->nu[id].
[in]igEmitter (trace gas) index selecting ctl->emitter[ig].
[in]ncidNetCDF file identifier of an already opened file.
Note
A temporary buffer is allocated to hold the packed lookup-table data prior to unpacking.
Warning
Aborts via ERRMSG() if the NetCDF variable exists but cannot be read or unpacked (e.g., corrupted contents).
See also
write_tbl_nc()
tbl_unpack()
Author
Lars Hoffmann

Definition at line 6376 of file jurassic.c.

6381 {
6382
6383 char varname[LEN];
6384
6385 int varid, dimid;
6386
6387 size_t nbytes;
6388
6389 /* Inquire variable... */
6390 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
6391 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
6392 WARN("Missing emissivity table: %s", varname);
6393 return;
6394 } else
6395 LOG(1, "Read emissivity table: %s", varname);
6396 NC(nc_inq_vardimid(ncid, varid, &dimid));
6397 NC(nc_inq_dimlen(ncid, dimid, &nbytes));
6398
6399 /* Read variable... */
6400 uint8_t *work = NULL;
6401 ALLOC(work, uint8_t, nbytes);
6402 NC(nc_get_var_uchar(ncid, varid, (unsigned char *) work));
6403
6404 /* Unpack... */
6405 tbl_unpack(tbl, id, ig, work);
6406
6407 /* Free... */
6408 free(work);
6409}
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◆ scan_ctl()

double scan_ctl ( int  argc,
char *  argv[],
const char *  varname,
const int  arridx,
const char *  defvalue,
char *  value 
)

Scan control file or command-line arguments for a configuration variable.

Searches for a named variable in the JURASSIC control file or command-line arguments, returning its value as a double. Optionally stores the value as a string and supports array-style parameters (e.g., EMITTER[0], NU[5]).

Parameters
[in]argcNumber of command-line arguments.
[in]argvCommand-line argument vector.
[in]varnameName of the control variable to read.
[in]arridxArray index (use -1 for scalar variables).
[in]defvalueDefault value if variable is not found (can be empty).
[out]valueOptional pointer to a string buffer receiving the value (may be NULL if only numeric output is required).
Returns
The variable value converted to double.
  • The routine first attempts to open the control file provided as the first command-line argument (argv[1]), unless it starts with '-'.
  • Variable names may appear as either:
    • VAR (scalar)
    • VAR[index] (explicit array index)
    • VAR[*] (wildcard entry applying to all indices)
  • The search order is:
    1. Control file lines of the form:
      VAR[index] = VALUE
      VAR[*] = VALUE
    2. Command-line arguments:
      ./jurassic ctlfile VAR[index] VALUE
  • If no match is found:
    • The default value defvalue is used (if non-empty).
    • Otherwise, the routine aborts with an error.
  • The variable value is printed to the log at verbosity level 1.
See also
read_ctl, LOG, ERRMSG
Warning
  • Aborts if the control file cannot be opened (unless skipped with '-').
  • Aborts if a required variable is missing and no default is provided.
  • Array bounds are not validated against internal limits; use ctl_t checks to ensure consistency.
Note
  • This utility simplifies control input parsing by supporting both command-line overrides and configuration files with the same syntax.
  • String comparisons are case-insensitive.
Author
Lars Hoffmann

Definition at line 6413 of file jurassic.c.

6419 {
6420
6421 FILE *in = NULL;
6422
6423 char dummy[LEN], fullname1[LEN], fullname2[LEN], line[LEN],
6424 rvarname[LEN], rval[LEN];
6425
6426 int contain = 0;
6427
6428 /* Open file... */
6429 if (argv[1][0] != '-')
6430 if (!(in = fopen(argv[1], "r")))
6431 ERRMSG("Cannot open file!");
6432
6433 /* Set full variable name... */
6434 if (arridx >= 0) {
6435 sprintf(fullname1, "%s[%d]", varname, arridx);
6436 sprintf(fullname2, "%s[*]", varname);
6437 } else {
6438 sprintf(fullname1, "%s", varname);
6439 sprintf(fullname2, "%s", varname);
6440 }
6441
6442 /* Read data... */
6443 if (in != NULL)
6444 while (fgets(line, LEN, in))
6445 if (sscanf(line, "%s %s %s", rvarname, dummy, rval) == 3)
6446 if (strcasecmp(rvarname, fullname1) == 0 ||
6447 strcasecmp(rvarname, fullname2) == 0) {
6448 contain = 1;
6449 break;
6450 }
6451 for (int i = 1; i < argc - 1; i++)
6452 if (strcasecmp(argv[i], fullname1) == 0 ||
6453 strcasecmp(argv[i], fullname2) == 0) {
6454 sprintf(rval, "%s", argv[i + 1]);
6455 contain = 1;
6456 break;
6457 }
6458
6459 /* Close file... */
6460 if (in != NULL)
6461 fclose(in);
6462
6463 /* Check for missing variables... */
6464 if (!contain) {
6465 if (strlen(defvalue) > 0)
6466 sprintf(rval, "%s", defvalue);
6467 else
6468 ERRMSG("Missing variable %s!\n", fullname1);
6469 }
6470
6471 /* Write info... */
6472 LOG(1, "%s = %s", fullname1, rval);
6473
6474 /* Return values... */
6475 if (value != NULL)
6476 sprintf(value, "%s", rval);
6477 return atof(rval);
6478}

◆ set_cov_apr()

void set_cov_apr ( const ret_t ret,
const ctl_t ctl,
const atm_t atm,
const int *  iqa,
const int *  ipa,
gsl_matrix *  s_a 
)

Construct the a priori covariance matrix \(\mathbf{S_a}\) for retrieval parameters.

Builds the full a priori covariance matrix based on specified retrieval error assumptions and correlation lengths defined in the ret_t structure. Each diagonal element represents the variance of an individual state vector element, while off-diagonal terms encode spatial correlations between parameters of the same type.

Parameters
[in]retRetrieval configuration and error parameters (ret_t).
[in]ctlControl structure defining retrieval setup and state vector mapping (ctl_t).
[in]atmAtmospheric profile structure containing geolocation and altitude information (atm_t).
[in]iqaIndex array linking state vector elements to physical quantities (e.g. pressure, temperature, gas, extinction, etc.).
[in]ipaIndex array linking state vector elements to atmospheric grid points.
[out]s_aOutput a priori covariance matrix \(\mathbf{S_a}\) (gsl_matrix), dimension n×n.
  • The function first converts atmospheric quantities to a state vector (atm2x) and scales them according to their a priori uncertainties:
    • Pressure and trace gas errors are relative (% of nominal value).
    • Temperature, extinction, cloud, and surface errors are absolute.
  • The diagonal of \(\mathbf{S_a}\) is filled with the variances \(\sigma_i^2\) of each element.
  • Off-diagonal elements are populated according to an exponential correlation model:

    \[ \rho_{ij} = \exp\left(-\frac{d_{ij}}{L_h} - \frac{|z_i - z_j|}{L_v}\right) \]

    where:
    • \(d_{ij}\) is the great-circle (horizontal) distance between state vector locations,
    • \(L_h\) and \(L_v\) are horizontal and vertical correlation lengths for the parameter type.
See also
atm2x, geo2cart, DIST, ret_t, ctl_t
Note
  • Parameters with identical type indices (iqa[i] == iqa[j]) are assumed to share correlation properties.
  • Correlation lengths are taken from ret_t, differing by parameter type:
    • Pressure: err_press_cz, err_press_ch
    • Temperature: err_temp_cz, err_temp_ch
    • Volume mixing ratio: err_q_cz[], err_q_ch[]
    • Extinction: err_k_cz[], err_k_ch[]
  • Cloud and surface parameters are assumed uncorrelated (diagonal only).
Warning
  • A zero or negative variance triggers a runtime error.
  • The matrix is constructed in full (dense), which may be large for high-resolution retrieval grids.
Author
Lars Hoffmann

Definition at line 6482 of file jurassic.c.

6488 {
6489
6490 /* Get sizes... */
6491 const size_t n = s_a->size1;
6492
6493 /* Allocate... */
6494 gsl_vector *x_a = gsl_vector_alloc(n);
6495
6496 /* Get sigma vector... */
6497 atm2x(ctl, atm, x_a, NULL, NULL);
6498 for (size_t i = 0; i < n; i++) {
6499 if (iqa[i] == IDXP)
6500 gsl_vector_set(x_a, i, ret->err_press / 100 * gsl_vector_get(x_a, i));
6501 if (iqa[i] == IDXT)
6502 gsl_vector_set(x_a, i, ret->err_temp);
6503 for (int ig = 0; ig < ctl->ng; ig++)
6504 if (iqa[i] == IDXQ(ig))
6505 gsl_vector_set(x_a, i, ret->err_q[ig] / 100 * gsl_vector_get(x_a, i));
6506 for (int iw = 0; iw < ctl->nw; iw++)
6507 if (iqa[i] == IDXK(iw))
6508 gsl_vector_set(x_a, i, ret->err_k[iw]);
6509 if (iqa[i] == IDXCLZ)
6510 gsl_vector_set(x_a, i, ret->err_clz);
6511 if (iqa[i] == IDXCLDZ)
6512 gsl_vector_set(x_a, i, ret->err_cldz);
6513 for (int icl = 0; icl < ctl->ncl; icl++)
6514 if (iqa[i] == IDXCLK(icl))
6515 gsl_vector_set(x_a, i, ret->err_clk[icl]);
6516 if (iqa[i] == IDXSFT)
6517 gsl_vector_set(x_a, i, ret->err_sft);
6518 for (int isf = 0; isf < ctl->nsf; isf++)
6519 if (iqa[i] == IDXSFEPS(isf))
6520 gsl_vector_set(x_a, i, ret->err_sfeps[isf]);
6521 }
6522
6523 /* Check standard deviations... */
6524 for (size_t i = 0; i < n; i++)
6525 if (POW2(gsl_vector_get(x_a, i)) <= 0)
6526 ERRMSG("Check a priori data (zero standard deviation)!");
6527
6528 /* Initialize diagonal covariance... */
6529 gsl_matrix_set_zero(s_a);
6530 for (size_t i = 0; i < n; i++)
6531 gsl_matrix_set(s_a, i, i, POW2(gsl_vector_get(x_a, i)));
6532
6533 /* Loop over matrix elements... */
6534 for (size_t i = 0; i < n; i++)
6535 for (size_t j = 0; j < n; j++)
6536 if (i != j && iqa[i] == iqa[j]) {
6537
6538 /* Initialize... */
6539 double cz = 0;
6540 double ch = 0;
6541
6542 /* Set correlation lengths for pressure... */
6543 if (iqa[i] == IDXP) {
6544 cz = ret->err_press_cz;
6545 ch = ret->err_press_ch;
6546 }
6547
6548 /* Set correlation lengths for temperature... */
6549 if (iqa[i] == IDXT) {
6550 cz = ret->err_temp_cz;
6551 ch = ret->err_temp_ch;
6552 }
6553
6554 /* Set correlation lengths for volume mixing ratios... */
6555 for (int ig = 0; ig < ctl->ng; ig++)
6556 if (iqa[i] == IDXQ(ig)) {
6557 cz = ret->err_q_cz[ig];
6558 ch = ret->err_q_ch[ig];
6559 }
6560
6561 /* Set correlation lengths for extinction... */
6562 for (int iw = 0; iw < ctl->nw; iw++)
6563 if (iqa[i] == IDXK(iw)) {
6564 cz = ret->err_k_cz[iw];
6565 ch = ret->err_k_ch[iw];
6566 }
6567
6568 /* Compute correlations... */
6569 if (cz > 0 && ch > 0) {
6570
6571 /* Get Cartesian coordinates... */
6572 double x0[3], x1[3];
6573 geo2cart(0, atm->lon[ipa[i]], atm->lat[ipa[i]], x0);
6574 geo2cart(0, atm->lon[ipa[j]], atm->lat[ipa[j]], x1);
6575
6576 /* Compute correlations... */
6577 const double rho =
6578 exp(-DIST(x0, x1) / ch -
6579 fabs(atm->z[ipa[i]] - atm->z[ipa[j]]) / cz);
6580
6581 /* Set covariance... */
6582 gsl_matrix_set(s_a, i, j, gsl_vector_get(x_a, i)
6583 * gsl_vector_get(x_a, j) * rho);
6584 }
6585 }
6586
6587 /* Free... */
6588 gsl_vector_free(x_a);
6589}
#define DIST(a, b)
Compute Cartesian distance between two 3D vectors.
Definition: jurassic.h:465
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◆ set_cov_meas()

void set_cov_meas ( const ret_t ret,
const ctl_t ctl,
const obs_t obs,
gsl_vector *  sig_noise,
gsl_vector *  sig_formod,
gsl_vector *  sig_eps_inv 
)

Construct measurement error standard deviations and their inverse.

Builds the total measurement uncertainty vector used in the optimal estimation retrieval, accounting for both instrument noise and forward model (systematic) errors.

Parameters
[in]retRetrieval configuration and error parameters (ret_t).
[in]ctlControl structure defining spectral channels and setup (ctl_t).
[in]obsObservation dataset (obs_t), containing measured radiances or brightness temperatures.
[out]sig_noiseVector of instrument noise standard deviations (gsl_vector), length m.
[out]sig_formodVector of forward model error standard deviations (gsl_vector), length m.
[out]sig_eps_invVector of inverse total standard deviations, \(\sigma_\epsilon^{-1}\), used for normalization.
  • The function computes the total measurement uncertainty for each observation element \(i\) as:

    \[ \sigma_{\epsilon,i}^2 = \sigma_{\text{noise},i}^2 + \sigma_{\text{formod},i}^2 \]

    and stores its reciprocal square root:

    \[ (\sigma_{\epsilon,i}^{-1}) = \frac{1}{\sqrt{\sigma_{\epsilon,i}^2}} \]

  • **Noise error (sig_noise)**
    Determined from the instrument noise level defined in ret->err_noise[id] for each spectral channel. The noise term is always included in the fit.
  • **Forward model error (sig_formod)**
    Computed as a fixed percentage (ret->err_formod[id]) of the measured radiance (or brightness temperature) per channel. This represents uncertainty due to imperfect forward modeling.
  • The inverse total standard deviation vector (sig_eps_inv) is used to normalize the measurement residuals \((y - F(x))\) in the cost function.
See also
obs2y, copy_obs, cost_function, set_cov_apr
Note
  • Only finite observation elements are considered; invalid values are set to NAN.
  • Units correspond to the observation quantity:
    • Radiance: [W/(m²·sr·cm⁻¹)]
    • Brightness temperature: [K]
  • The forward model error is always relative, expressed in percent (%).
Warning
  • A zero or negative uncertainty triggers a runtime error.
  • Assumes obs and ctl are consistent in dimension and indexing.
Author
Lars Hoffmann

Definition at line 6593 of file jurassic.c.

6599 {
6600
6601 static obs_t obs_err;
6602
6603 /* Get size... */
6604 const size_t m = sig_eps_inv->size;
6605
6606 /* Noise error (always considered in retrieval fit)... */
6607 copy_obs(ctl, &obs_err, obs, 1);
6608 for (int ir = 0; ir < obs_err.nr; ir++)
6609 for (int id = 0; id < ctl->nd; id++)
6610 obs_err.rad[id][ir]
6611 = (isfinite(obs->rad[id][ir]) ? ret->err_noise[id] : NAN);
6612 obs2y(ctl, &obs_err, sig_noise, NULL, NULL);
6613
6614 /* Forward model error (always considered in retrieval fit)... */
6615 copy_obs(ctl, &obs_err, obs, 1);
6616 for (int ir = 0; ir < obs_err.nr; ir++)
6617 for (int id = 0; id < ctl->nd; id++)
6618 obs_err.rad[id][ir]
6619 = fabs(ret->err_formod[id] / 100 * obs->rad[id][ir]);
6620 obs2y(ctl, &obs_err, sig_formod, NULL, NULL);
6621
6622 /* Total error... */
6623 for (size_t i = 0; i < m; i++)
6624 gsl_vector_set(sig_eps_inv, i, 1 / sqrt(POW2(gsl_vector_get(sig_noise, i))
6625 +
6626 POW2(gsl_vector_get
6627 (sig_formod, i))));
6628
6629 /* Check standard deviations... */
6630 for (size_t i = 0; i < m; i++)
6631 if (gsl_vector_get(sig_eps_inv, i) <= 0)
6632 ERRMSG("Check measurement errors (zero standard deviation)!");
6633}
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◆ tangent_point()

void tangent_point ( const los_t los,
double *  tpz,
double *  tplon,
double *  tplat 
)

Determine the tangent point along a line of sight (LOS).

Computes the location of the tangent point — the point of minimum altitude — along the current line of sight, based on the LOS geometry stored in los_t.

Parameters
[in]losPointer to the line-of-sight (LOS) structure containing altitude, longitude, latitude, and segment length data.
[out]tpzPointer to variable receiving tangent point altitude [km].
[out]tplonPointer to variable receiving tangent point longitude [deg].
[out]tplatPointer to variable receiving tangent point latitude [deg].
  • For limb or occultation geometry, the routine:
    1. Identifies the LOS grid point with minimum altitude.
    2. Fits a quadratic interpolation polynomial: \( z = a x^2 + b x + c \) through the altitudes of the three neighboring LOS points.
    3. Solves analytically for the vertex position \( x = -b / (2a) \), corresponding to the tangent point.
    4. Converts this interpolated position back to geographic coordinates.
  • For nadir or zenith viewing (minimum altitude at the LOS endpoint), the tangent point defaults to the last grid point.
See also
raytrace, geo2cart, cart2geo, los_t
Note
  • The LOS segment lengths (ds) must be consistent with the geometric spacing between altitude points for the interpolation to be accurate.
  • The quadratic interpolation provides sub-kilometer precision for smooth limb rays.
  • Longitude and latitude are returned in degrees.
Warning
  • If the LOS contains fewer than three valid points, or the geometry is strongly curved, the tangent point estimate may be unreliable.
Author
Lars Hoffmann

Definition at line 6637 of file jurassic.c.

6641 {
6642
6643 double dummy, v[3], v0[3], v2[3];
6644
6645 /* Find minimum altitude... */
6646 const size_t ip = gsl_stats_min_index(los->z, 1, (size_t) los->np);
6647
6648 /* Nadir or zenith... */
6649 if (ip <= 0 || ip >= (size_t) los->np - 1) {
6650 *tpz = los->z[los->np - 1];
6651 *tplon = los->lon[los->np - 1];
6652 *tplat = los->lat[los->np - 1];
6653 }
6654
6655 /* Limb... */
6656 else {
6657
6658 /* Determine interpolating polynomial y=a*x^2+b*x+c... */
6659 const double yy0 = los->z[ip - 1];
6660 const double yy1 = los->z[ip];
6661 const double yy2 = los->z[ip + 1];
6662 const double x1 = sqrt(POW2(los->ds[ip]) - POW2(yy1 - yy0));
6663 const double x2 = x1 + sqrt(POW2(los->ds[ip + 1]) - POW2(yy2 - yy1));
6664 const double a = 1 / (x1 - x2) * (-(yy0 - yy1) / x1 + (yy0 - yy2) / x2);
6665 const double b = -(yy0 - yy1) / x1 - a * x1;
6666 const double c = yy0;
6667
6668 /* Get tangent point location... */
6669 const double x = -b / (2 * a);
6670 *tpz = a * x * x + b * x + c;
6671 geo2cart(los->z[ip - 1], los->lon[ip - 1], los->lat[ip - 1], v0);
6672 geo2cart(los->z[ip + 1], los->lon[ip + 1], los->lat[ip + 1], v2);
6673 for (int i = 0; i < 3; i++)
6674 v[i] = LIN(0.0, v0[i], x2, v2[i], x);
6675 cart2geo(v, &dummy, tplon, tplat);
6676 }
6677}
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◆ tbl_free()

void tbl_free ( const ctl_t ctl,
tbl_t tbl 
)

Free lookup table and all internally allocated memory.

Frees all dynamically allocated memory owned by a tbl_t object, including the spectral lookup arrays (logu and logeps) for all detector/emitter/pressure/temperature combinations. The tbl_t structure itself is freed at the end.

The function is safe to call with a NULL pointer and will return immediately in that case. Partially initialized tables are handled safely.

Parameters
[in,out]tblPointer to the lookup table to be freed.
[in]ctlControl structure providing the number of detectors and emitters used for looping.
Note
This function must be used instead of free(tbl) since tbl_t contains nested dynamically allocated members.
Author
Lars Hoffmann

Definition at line 6681 of file jurassic.c.

6683 {
6684
6685 /* Check pointer... */
6686 if (!tbl)
6687 return;
6688
6689 /* Loop over channels and emitters... */
6690 for (int id = 0; id < ctl->nd; id++)
6691 for (int ig = 0; ig < ctl->ng; ig++) {
6692
6693 /* Check number of pressure levels... */
6694 const int np = tbl->np[id][ig];
6695 if (np < 0)
6696 continue;
6697
6698 /* Loop over pressure levels... */
6699 for (int ip = 0; ip < np; ip++) {
6700
6701 /* Loop over temperature levels... */
6702 const int nt = tbl->nt[id][ig][ip];
6703 for (int it = 0; it < nt; it++) {
6704
6705 /* Free... */
6706 free(tbl->logu[id][ig][ip][it]);
6707 free(tbl->logeps[id][ig][ip][it]);
6708 tbl->logu[id][ig][ip][it] = NULL;
6709 tbl->logeps[id][ig][ip][it] = NULL;
6710 }
6711 }
6712 }
6713
6714 /* Free... */
6715 free(tbl);
6716}

◆ tbl_pack()

void tbl_pack ( const tbl_t tbl,
int  id,
int  ig,
uint8_t *  buf,
size_t *  bytes_used 
)

Pack a lookup table into a contiguous binary buffer.

This function serializes the lookup table data for a given detector (id) and emitter (ig) into a compact, platform-native binary representation. The packed data can be written to disk (e.g., in a NetCDF variable) and later reconstructed using tbl_unpack().

The packed layout in buf is, in order:

  • int np : number of pressure grid points
  • double p[np] : pressure grid
  • for each pressure index ip:
    • int nt : number of temperature grid points
    • double t[nt] : temperature grid
    • for each temperature index it:
      • int nu : number of spectral grid points
      • float u[nu] : spectral values
      • float eps[nu] : associated epsilon values

No byte-order conversion or padding is applied; the data are written exactly as laid out in memory.

Parameters
[in]tblTable structure containing the lookup data.
[in]idDetector index.
[in]igEmitter index.
[out]bufDestination buffer that will receive the packed binary data.
[out]bytes_usedNumber of bytes written to buf.
Warning
The caller must ensure that buf is large enough to hold the packed data for the selected detector/emitter pair. The packed representation includes the detector filter function (mandatory for binary/netCDF formats). No bounds checking is performed inside this function.
See also
tbl_unpack()
Author
Lars Hoffmann

Definition at line 6720 of file jurassic.c.

6725 {
6726
6727 uint8_t *cur = buf;
6728
6729 /* Pack lookup table... */
6730 int np = tbl->np[id][ig];
6731 memcpy(cur, &np, sizeof(np));
6732 cur += sizeof(np);
6733
6734 memcpy(cur, tbl->p[id][ig], (size_t) np * sizeof(double));
6735 cur += ((size_t) np * sizeof(double));
6736
6737 for (int ip = 0; ip < np; ip++) {
6738 int nt = tbl->nt[id][ig][ip];
6739 memcpy(cur, &nt, sizeof(nt));
6740 cur += sizeof(nt);
6741
6742 memcpy(cur, tbl->t[id][ig][ip], (size_t) nt * sizeof(double));
6743 cur += ((size_t) nt * sizeof(double));
6744
6745 for (int it = 0; it < nt; it++) {
6746 int nu = tbl->nu[id][ig][ip][it];
6747 memcpy(cur, &nu, sizeof(nu));
6748 cur += sizeof(nu);
6749
6750 memcpy(cur, tbl->logu[id][ig][ip][it], (size_t) nu * sizeof(float));
6751 cur += ((size_t) nu * sizeof(float));
6752
6753 memcpy(cur, tbl->logeps[id][ig][ip][it], (size_t) nu * sizeof(float));
6754 cur += ((size_t) nu * sizeof(float));
6755 }
6756 }
6757
6758 /* Pack filter function... */
6759 const int n = tbl->filt_n[id];
6760 memcpy(cur, &n, sizeof(n));
6761 cur += sizeof(n);
6762
6763 memcpy(cur, tbl->filt_nu[id], (size_t) n * sizeof(double));
6764 cur += ((size_t) n * sizeof(double));
6765
6766 memcpy(cur, tbl->filt_f[id], (size_t) n * sizeof(double));
6767 cur += ((size_t) n * sizeof(double));
6768
6769 *bytes_used = (size_t) (cur - buf);
6770}

◆ tbl_packed_size()

size_t tbl_packed_size ( const tbl_t tbl,
int  id,
int  ig 
)

Compute required buffer size (in bytes) for tbl_pack().

Returns the exact number of bytes that tbl_pack() will write for the given detector/emitter pair (including the mandatory filter function).

See also
tbl_pack()
Author
Lars Hoffmann

Definition at line 6774 of file jurassic.c.

6777 {
6778
6779 size_t bytes = 0;
6780
6781 /* Size of lookup table... */
6782 const int np = tbl->np[id][ig];
6783 bytes += sizeof(int);
6784 bytes += ((size_t) np * sizeof(double));
6785
6786 for (int ip = 0; ip < np; ip++) {
6787 const int nt = tbl->nt[id][ig][ip];
6788 bytes += sizeof(int);
6789 bytes += ((size_t) nt * sizeof(double));
6790
6791 for (int it = 0; it < nt; it++) {
6792 const int nu = tbl->nu[id][ig][ip][it];
6793 bytes += sizeof(int);
6794 bytes += (2 * (size_t) nu * sizeof(float));
6795 }
6796 }
6797
6798 /* Size of filter function... */
6799 const int n = tbl->filt_n[id];
6800 bytes += sizeof(int);
6801 bytes += (2 * (size_t) n * sizeof(double));
6802
6803 return bytes;
6804}

◆ tbl_unpack()

size_t tbl_unpack ( tbl_t tbl,
int  id,
int  ig,
const uint8_t *  buf 
)

Unpack a lookup table from a contiguous binary buffer.

This function reconstructs the lookup table data for a given detector (id) and emitter (ig) from a binary buffer previously produced by tbl_pack(). The packed data are read sequentially and copied into the corresponding fields of the tbl structure.

The expected layout of buf is:

  • int np
  • double p[np]
  • for each pressure index ip:
    • int nt
    • double t[nt]
    • for each temperature index it:
      • int nu
      • float u[nu]
      • float eps[nu]

Range checks are applied to np, nt, and nu against the compile-time limits TBLNP, TBLNT, and TBLNU to prevent buffer overruns and invalid table sizes.

Parameters
[in,out]tblTable structure that will receive the unpacked data.
[in]idDetector index.
[in]igEmitter index.
[in]bufSource buffer containing the packed binary table.
Returns
The number of bytes consumed from buf.
Warning
The buffer must contain a valid packed table created by tbl_pack(). Supplying malformed or truncated data will result in undefined behavior or an error.
See also
tbl_pack()
Author
Lars Hoffmann

Definition at line 6808 of file jurassic.c.

6812 {
6813
6814 const uint8_t *cur = buf;
6815
6816 /* Unpack lookup table... */
6817 int np;
6818 memcpy(&np, cur, sizeof(np));
6819 cur += sizeof(np);
6820
6821 if (np < 0 || np > TBLNP)
6822 ERRMSG("np out of range!");
6823 tbl->np[id][ig] = np;
6824
6825 memcpy(tbl->p[id][ig], cur, (size_t) np * sizeof(double));
6826 cur += ((size_t) np * sizeof(double));
6827
6828 for (int ip = 0; ip < np; ip++) {
6829
6830 int nt;
6831 memcpy(&nt, cur, sizeof(nt));
6832 cur += sizeof(nt);
6833
6834 if (nt < 0 || nt > TBLNT)
6835 ERRMSG("nt out of range!");
6836 tbl->nt[id][ig][ip] = nt;
6837
6838 memcpy(tbl->t[id][ig][ip], cur, (size_t) nt * sizeof(double));
6839 cur += ((size_t) nt * sizeof(double));
6840
6841 for (int it = 0; it < nt; it++) {
6842
6843 int nu;
6844 memcpy(&nu, cur, sizeof(nu));
6845 cur += sizeof(nu);
6846
6847 if (nu < 0 || nu > TBLNU)
6848 ERRMSG("nu out of range!");
6849 tbl->nu[id][ig][ip][it] = nu;
6850
6851 ALLOC(tbl->logu[id][ig][ip][it], float,
6852 nu);
6853 ALLOC(tbl->logeps[id][ig][ip][it], float,
6854 nu);
6855
6856 memcpy(tbl->logu[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
6857 cur += ((size_t) nu * sizeof(float));
6858
6859 memcpy(tbl->logeps[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
6860 cur += ((size_t) nu * sizeof(float));
6861 }
6862 }
6863
6864 /* Unpack filter function... */
6865 int n;
6866 memcpy(&n, cur, sizeof(n));
6867 cur += sizeof(n);
6868
6869 if (n < 2 || n > NSHAPE)
6870 ERRMSG("Missing or invalid filter function (filt_n) in packed table!");
6871 tbl->filt_n[id] = n;
6872
6873 memcpy(tbl->filt_nu[id], cur, (size_t) n * sizeof(double));
6874 cur += ((size_t) n * sizeof(double));
6875
6876 memcpy(tbl->filt_f[id], cur, (size_t) n * sizeof(double));
6877 cur += ((size_t) n * sizeof(double));
6878
6879 return (size_t) (cur - buf);
6880}

◆ time2jsec()

void time2jsec ( const int  year,
const int  mon,
const int  day,
const int  hour,
const int  min,
const int  sec,
const double  remain,
double *  jsec 
)

Converts time components to seconds since January 1, 2000, 12:00:00 UTC.

This function calculates the number of seconds elapsed since January 1, 2000, 12:00:00 UTC, based on the provided year, month, day, hour, minute, and second. It also includes a fractional part to represent the remaining seconds.

Parameters
yearThe year.
monThe month (1-12).
dayThe day of the month (1-31).
hourThe hour of the day (0-23).
minThe minute (0-59).
secThe second (0-59).
remainThe fractional part of seconds.
jsecPointer to store the calculated number of seconds since January 1, 2000, 12:00:00 UTC.

The function calculates the time elapsed since January 1, 2000, 12:00:00 UTC, up to the specified time and includes any fractional seconds indicated by the "remain" parameter.

Note
The function uses the timegm function, which is similar to mktime but operates in UTC.
Author
Lars Hoffmann

Definition at line 6884 of file jurassic.c.

6892 {
6893
6894 struct tm t0, t1;
6895
6896 t0.tm_year = 100;
6897 t0.tm_mon = 0;
6898 t0.tm_mday = 1;
6899 t0.tm_hour = 0;
6900 t0.tm_min = 0;
6901 t0.tm_sec = 0;
6902
6903 t1.tm_year = year - 1900;
6904 t1.tm_mon = mon - 1;
6905 t1.tm_mday = day;
6906 t1.tm_hour = hour;
6907 t1.tm_min = min;
6908 t1.tm_sec = sec;
6909
6910 *jsec = (double) timegm(&t1) - (double) timegm(&t0) + remain;
6911}

◆ timer()

void timer ( const char *  name,
const char *  file,
const char *  func,
int  line,
int  mode 
)

Simple wall-clock timer for runtime diagnostics.

Provides a lightweight timing utility based on omp_get_wtime() to measure wall-clock durations between marked code regions. The function supports up to ten concurrent nested timers.

Parameters
[in]nameName or label of the timed code section.
[in]fileSource file name (usually __FILE__ macro).
[in]funcFunction name (usually __func__ macro).
[in]lineSource line number (usually __LINE__ macro).
[in]modeTimer operation mode:
  • 1: Start new timer.
  • 2: Write elapsed time since last start (without stopping).
  • 3: Write elapsed time and stop timer (pop one level).
  • Each call with mode == 1 starts a new timer instance and stores its start time and corresponding source line.
  • When mode == 2 or mode == 3 is called, the elapsed wall-clock time (in seconds) is computed using:

    \[ \Delta t = t_{\text{now}} - t_{\text{start}} \]

    and written to the log via the LOG macro.
  • Supports nested timers (up to 10 levels). Exceeding this limit triggers a runtime error via ERRMSG.
See also
LOG, ERRMSG, omp_get_wtime
Note
  • The timing precision and resolution depend on the OpenMP runtime.
  • Intended for coarse profiling and diagnostic output; not thread-safe.
  • Lines reported in log messages indicate the start–stop interval.
Warning
  • Exceeding 10 nested timers results in an error.
  • Calling mode == 2 or 3 without a prior start causes an internal error.
Author
Lars Hoffmann

Definition at line 6915 of file jurassic.c.

6920 {
6921
6922 static double w0[10];
6923
6924 static int l0[10], nt;
6925
6926 /* Start new timer... */
6927 if (mode == 1) {
6928 w0[nt] = omp_get_wtime();
6929 l0[nt] = line;
6930 if ((++nt) >= 10)
6931 ERRMSG("Too many timers!");
6932 }
6933
6934 /* Write elapsed time... */
6935 else {
6936
6937 /* Check timer index... */
6938 if (nt - 1 < 0)
6939 ERRMSG("Coding error!");
6940
6941 /* Write elapsed time... */
6942 LOG(1, "Timer '%s' (%s, %s, l%d-%d): %.3f sec",
6943 name, file, func, l0[nt - 1], line, omp_get_wtime() - w0[nt - 1]);
6944 }
6945
6946 /* Stop timer... */
6947 if (mode == 3)
6948 nt--;
6949}

◆ write_atm()

void write_atm ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
const atm_t atm 
)

Write atmospheric data to a file.

This function writes the atmospheric dataset stored in atm to the file specified by filename, optionally prefixed by dirname. The output format (ASCII or binary) is selected based on the atmospheric format flag ctl->atmfmt. The function creates the output file, delegates the writing process to the appropriate format-specific routine, and logs summary statistics of the written atmospheric data.

Supported output formats:

The function writes:

  • Atmospheric profiles: time, altitude, longitude, latitude, pressure, temperature
  • Gas mixing ratios for each emitter (ctl->ng)
  • Extinction coefficients for each spectral window (ctl->nw)
  • Optional cloud layer or surface parameters if enabled in ctl

After writing, the function logs minimum and maximum values of the written fields for verification and diagnostic purposes.

Parameters
dirnameOptional directory in which the output file will be created. If NULL, only filename is used.
filenameName of the output file to be created and populated with atmospheric data.
ctlPointer to a control structure defining the output format and the sizes of gas, spectral, cloud, and surface parameter arrays.
atmPointer to the atmospheric data structure whose contents will be written. All required fields must be initialized and contain atm->np valid data points.
Note
The function aborts execution using ERRMSG if the file cannot be created or if an unsupported output format is requested.
Author
Lars Hoffmann

Definition at line 6953 of file jurassic.c.

6957 {
6958
6959 char file[LEN];
6960
6961 /* Set filename... */
6962 if (dirname != NULL)
6963 sprintf(file, "%s/%s", dirname, filename);
6964 else
6965 sprintf(file, "%s", filename);
6966
6967 /* Write info... */
6968 LOG(1, "Write atmospheric data: %s", file);
6969
6970 /* Write ASCII data... */
6971 if (ctl->atmfmt == 1)
6972 write_atm_asc(file, ctl, atm);
6973
6974 /* Write binary data... */
6975 else if (ctl->atmfmt == 2)
6976 write_atm_bin(file, ctl, atm);
6977
6978 /* Write netCDF data... */
6979 else if (ctl->atmfmt == 3)
6980 write_atm_nc(file, ctl, atm, 0);
6981
6982 /* Error... */
6983 else
6984 ERRMSG("Unknown file format, check ATMFMT!");
6985
6986 /* Write info... */
6987 double mini, maxi;
6988 LOG(2, "Number of data points: %d", atm->np);
6989 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
6990 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
6991 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
6992 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
6993 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
6994 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
6995 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
6996 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
6997 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
6998 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
6999 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
7000 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
7001 for (int ig = 0; ig < ctl->ng; ig++) {
7002 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
7003 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
7004 }
7005 for (int iw = 0; iw < ctl->nw; iw++) {
7006 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
7007 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
7008 }
7009 if (ctl->ncl > 0) {
7010 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
7011 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
7012 } else
7013 LOG(2, "Cloud layer: none");
7014 if (ctl->nsf > 0) {
7015 LOG(2,
7016 "Surface: T_s = %g K | eps= %g ... %g",
7017 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
7018 } else
7019 LOG(2, "Surface: none");
7020}
void write_atm_nc(const char *filename, const ctl_t *ctl, const atm_t *atm, int profile)
Write one atmospheric profile to a netCDF file.
Definition: jurassic.c:7175
void write_atm_asc(const char *filename, const ctl_t *ctl, const atm_t *atm)
Write atmospheric data to an ASCII file.
Definition: jurassic.c:7024
void write_atm_bin(const char *filename, const ctl_t *ctl, const atm_t *atm)
Write atmospheric data to a binary file.
Definition: jurassic.c:7091
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◆ write_atm_asc()

void write_atm_asc ( const char *  filename,
const ctl_t ctl,
const atm_t atm 
)

Write atmospheric data to an ASCII file.

This function writes the contents of an atmospheric structure atm to an ASCII file specified by its filename. A descriptive column header is written first, documenting the meaning, units, and ordering of each data field. Atmospheric data points are then written line by line, with optional cloud and surface layer parameters appended if they are enabled in the control structure ctl.

The output columns include, in order:

  1. Time (seconds since 2000-01-01T00:00Z)
  2. Altitude [km]
  3. Longitude [deg]
  4. Latitude [deg]
  5. Pressure [hPa]
  6. Temperature [K]
  • Gas/emitter mixing ratios for each species (ctl->ng) [ppv]
  • Extinction values for each spectral window (ctl->nw) [km^-1]

If cloud layer properties are enabled (ctl->ncl > 0), the following are added:

  • Cloud layer height [km]
  • Cloud layer depth [km]
  • Cloud extinction values for each frequency (ctl->ncl) [km^-1]

If surface layer properties are enabled (ctl->nsf > 0), the following are added:

  • Surface layer height [km]
  • Surface layer pressure [hPa]
  • Surface layer temperature [K]
  • Surface emissivity values (ctl->nsf)
Parameters
filenamePath to the ASCII output file.
ctlPointer to a control structure defining the number of gases, spectral windows, and whether cloud or surface layer information should be included.
atmPointer to the atmospheric structure containing the data to be written. The function writes all atm->np data points.
Note
A blank line is inserted each time the time coordinate changes, grouping data points belonging to different timestamps.
Warning
The function assumes that all arrays in atm are properly allocated and populated. No validation of data ranges is performed here.
Author
Lars Hoffmann

Definition at line 7024 of file jurassic.c.

7027 {
7028
7029 int n = 6;
7030
7031 /* Create file... */
7032 FILE *out;
7033 if (!(out = fopen(filename, "w")))
7034 ERRMSG("Cannot create file!");
7035
7036 /* Write header... */
7037 fprintf(out,
7038 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
7039 "# $2 = altitude [km]\n"
7040 "# $3 = longitude [deg]\n"
7041 "# $4 = latitude [deg]\n"
7042 "# $5 = pressure [hPa]\n" "# $6 = temperature [K]\n");
7043 for (int ig = 0; ig < ctl->ng; ig++)
7044 fprintf(out, "# $%d = %s volume mixing ratio [ppv]\n",
7045 ++n, ctl->emitter[ig]);
7046 for (int iw = 0; iw < ctl->nw; iw++)
7047 fprintf(out, "# $%d = extinction (window %d) [km^-1]\n", ++n, iw);
7048 if (ctl->ncl > 0) {
7049 fprintf(out, "# $%d = cloud layer height [km]\n", ++n);
7050 fprintf(out, "# $%d = cloud layer depth [km]\n", ++n);
7051 for (int icl = 0; icl < ctl->ncl; icl++)
7052 fprintf(out, "# $%d = cloud layer extinction (%.4f cm^-1) [km^-1]\n",
7053 ++n, ctl->clnu[icl]);
7054 }
7055 if (ctl->nsf > 0) {
7056 fprintf(out, "# $%d = surface temperature [K]\n", ++n);
7057 for (int isf = 0; isf < ctl->nsf; isf++)
7058 fprintf(out, "# $%d = surface emissivity (%.4f cm^-1)\n",
7059 ++n, ctl->sfnu[isf]);
7060 }
7061
7062 /* Write data... */
7063 for (int ip = 0; ip < atm->np; ip++) {
7064 if (ip == 0 || atm->time[ip] != atm->time[ip - 1])
7065 fprintf(out, "\n");
7066 fprintf(out, "%.2f %g %g %g %g %g", atm->time[ip], atm->z[ip],
7067 atm->lon[ip], atm->lat[ip], atm->p[ip], atm->t[ip]);
7068 for (int ig = 0; ig < ctl->ng; ig++)
7069 fprintf(out, " %g", atm->q[ig][ip]);
7070 for (int iw = 0; iw < ctl->nw; iw++)
7071 fprintf(out, " %g", atm->k[iw][ip]);
7072 if (ctl->ncl > 0) {
7073 fprintf(out, " %g %g", atm->clz, atm->cldz);
7074 for (int icl = 0; icl < ctl->ncl; icl++)
7075 fprintf(out, " %g", atm->clk[icl]);
7076 }
7077 if (ctl->nsf > 0) {
7078 fprintf(out, " %g", atm->sft);
7079 for (int isf = 0; isf < ctl->nsf; isf++)
7080 fprintf(out, " %g", atm->sfeps[isf]);
7081 }
7082 fprintf(out, "\n");
7083 }
7084
7085 /* Close file... */
7086 fclose(out);
7087}

◆ write_atm_bin()

void write_atm_bin ( const char *  filename,
const ctl_t ctl,
const atm_t atm 
)

Write atmospheric data to a binary file.

This function writes the atmospheric dataset contained in atm to a binary file specified by its filename. The output format is compact and includes a file header followed by the serialized atmospheric fields. The format is compatible with read_atm_bin(), ensuring that files written by this function can be read back without loss of information.

The binary file structure written is as follows:

  1. Magic identifier "ATM1" (4 bytes)
  2. Header integers describing dataset layout:
    • Number of gas/emitter species (ctl->ng)
    • Number of spectral windows (ctl->nw)
    • Number of cloud extinction values (ctl->ncl)
    • Number of surface emissivity values (ctl->nsf)
  3. Data payload:
    • Number of atmospheric points np
    • Arrays of length np containing:
      • Time
      • Altitude
      • Longitude
      • Latitude
      • Pressure
      • Temperature
    • Gas mixing ratios for all emitters (ctl->ng × np)
    • Extinction coefficients for all spectral windows (ctl->nw × np)
  4. Optional parameters written only if enabled in ctl:
    • Cloud layer height, depth, and extinction values (ctl->ncl)
    • Surface temperature and emissivity values (ctl->nsf)
Parameters
filenamePath to the binary output file.
ctlPointer to a control structure specifying the number of gases, spectral windows, and whether cloud or surface layer parameters must be included.
atmPointer to the atmospheric data structure containing values to be written. All arrays must be populated and atm->np must contain the number of valid atmospheric records.
Note
This function performs no range checking or validation of the atm contents. It assumes that the memory layout matches expectations.
Warning
The binary structure must remain consistent with read_atm_bin(); modifying either implementation requires updating the other accordingly.
Author
Lars Hoffmann

Definition at line 7091 of file jurassic.c.

7094 {
7095
7096 /* Create file... */
7097 FILE *out;
7098 if (!(out = fopen(filename, "w")))
7099 ERRMSG("Cannot create file!");
7100
7101 /* Write header... */
7102 FWRITE("ATM1", char,
7103 4,
7104 out);
7105 FWRITE(&ctl->ng, int,
7106 1,
7107 out);
7108 FWRITE(&ctl->nw, int,
7109 1,
7110 out);
7111 FWRITE(&ctl->ncl, int,
7112 1,
7113 out);
7114 FWRITE(&ctl->nsf, int,
7115 1,
7116 out);
7117
7118 /* Write data... */
7119 size_t np = (size_t) atm->np;
7120 FWRITE(&np, size_t,
7121 1,
7122 out);
7123 FWRITE(atm->time, double,
7124 np,
7125 out);
7126 FWRITE(atm->z, double,
7127 np,
7128 out);
7129 FWRITE(atm->lon, double,
7130 np,
7131 out);
7132 FWRITE(atm->lat, double,
7133 np,
7134 out);
7135 FWRITE(atm->p, double,
7136 np,
7137 out);
7138 FWRITE(atm->t, double,
7139 np,
7140 out);
7141 for (int ig = 0; ig < ctl->ng; ig++)
7142 FWRITE(atm->q[ig], double,
7143 np,
7144 out);
7145 for (int iw = 0; iw < ctl->nw; iw++)
7146 FWRITE(atm->k[iw], double,
7147 np,
7148 out);
7149 if (ctl->ncl > 0) {
7150 FWRITE(&atm->clz, double,
7151 1,
7152 out);
7153 FWRITE(&atm->cldz, double,
7154 1,
7155 out);
7156 FWRITE(atm->clk, double,
7157 (size_t) ctl->ncl,
7158 out);
7159 }
7160 if (ctl->nsf > 0) {
7161 FWRITE(&atm->sft, double,
7162 1,
7163 out);
7164 FWRITE(atm->sfeps, double,
7165 (size_t) ctl->nsf,
7166 out);
7167 }
7168
7169 /* Close file... */
7170 fclose(out);
7171}
#define FWRITE(ptr, type, size, out)
Write binary data to a file.
Definition: jurassic.h:543

◆ write_atm_nc()

void write_atm_nc ( const char *  filename,
const ctl_t ctl,
const atm_t atm,
int  profile 
)

Write one atmospheric profile to a netCDF file.

This routine writes a single profile from an atm_t structure into a netCDF file using an unlimited record dimension. Multiple profiles can be stored in the same file by calling this function repeatedly with increasing profile indices.

The function creates the file if it does not exist (netCDF-4/HDF5) and defines missing dimensions/variables on the fly. Existing definitions are reused.

File layout

Dimensions:

  • profile : unlimited (record dimension)
  • level : fixed (maximum number of vertical levels stored in the file)

Variables:

  • nlev(profile) : number of valid levels for each profile (written as atm->np)
  • Core state (2-D): time,z,lon,lat,p,t(profile,level)
  • Trace gases (2-D): one variable per species named ctl->emitter[ig] with dimensions (profile,level)
  • Extinction windows (2-D): ext_win_d(profile,level)
  • Clouds (1-D, optional if ctl->ncl>0): cld_z, cld_dz, cld_k_d(profile)
  • Surface (1-D, optional if ctl->nsf>0): sf_t, sf_eps_d(profile)

Only the first atm->np elements along level are written for 2-D variables. The effective number of levels is stored in nlev(profile). (If a profile is overwritten with fewer levels than previously written, old values above nlev may remain unless explicitly filled by the caller.)

Parameters
filenameOutput netCDF file name.
ctlControl structure (defines numbers/names of optional fields, e.g., ng, nw, ncl, nsf, and emitter[]).
atmAtmospheric profile data to write (uses atm->np levels).
profileRecord index along the unlimited profile dimension.
Note
This function requires netCDF support (HAVE_NETCDF) and uses the netCDF C API. Errors are handled via the NC(...) macro.
Author
Lars Hoffmann

Definition at line 7175 of file jurassic.c.

7179 {
7180
7181 char longname[LEN], varname[LEN];
7182
7183 int ncid, varid, dim_profile, dim_level;
7184
7185 size_t level_max;
7186
7187 /* Open or create file... */
7188 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
7189 NC(nc_create(filename, NC_NETCDF4, &ncid));
7190
7191 /* Enter define mode... */
7192 int r = nc_redef(ncid);
7193 if (r != NC_NOERR && r != NC_EINDEFINE)
7194 NC(r);
7195
7196 /* Define profile dimension (unlimited)... */
7197 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
7198 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
7199
7200 /* Define level dimension (fixed)... */
7201 if (nc_inq_dimid(ncid, "level", &dim_level) == NC_NOERR) {
7202 NC(nc_inq_dimlen(ncid, dim_level, &level_max));
7203 if (level_max < 1 || level_max > (size_t) NP)
7204 ERRMSG("netCDF dimension level is out of range!");
7205 if ((size_t) atm->np > level_max)
7206 ERRMSG("profile has too many levels!");
7207 } else {
7208 level_max = (size_t) atm->np;
7209 NC(nc_def_dim(ncid, "level", level_max, &dim_level));
7210 }
7211
7212 /* Set dimension IDs... */
7213 int dimids[2] = { dim_profile, dim_level };
7214
7215 /* Tunables for compression/quantization... */
7216 const int deflate_level = 0;
7217 const int quant_digits = 0;
7218
7219 /* Define nlev (1D)... */
7220 if (nc_inq_varid(ncid, "nlev", &varid) != NC_NOERR)
7221 NC_DEF_VAR("nlev", NC_INT, 1, dimids,
7222 "number of vertical levels", "1", 0, 0);
7223
7224 /* Define core variables (2D)... */
7225 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
7226 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
7227 "time in seconds since 2000-01-01, 00:00 UTC", "s",
7228 deflate_level, 0);
7229
7230 if (nc_inq_varid(ncid, "z", &varid) != NC_NOERR)
7231 NC_DEF_VAR("z", NC_DOUBLE, 2, dimids, "altitude", "km", deflate_level, 0);
7232
7233 if (nc_inq_varid(ncid, "lon", &varid) != NC_NOERR)
7234 NC_DEF_VAR("lon", NC_DOUBLE, 2, dimids,
7235 "longitude", "degrees_east", deflate_level, 0);
7236
7237 if (nc_inq_varid(ncid, "lat", &varid) != NC_NOERR)
7238 NC_DEF_VAR("lat", NC_DOUBLE, 2, dimids,
7239 "latitude", "degrees_north", deflate_level, 0);
7240
7241 if (nc_inq_varid(ncid, "p", &varid) != NC_NOERR)
7242 NC_DEF_VAR("p", NC_DOUBLE, 2, dimids,
7243 "pressure", "hPa", deflate_level, quant_digits);
7244
7245 if (nc_inq_varid(ncid, "t", &varid) != NC_NOERR)
7246 NC_DEF_VAR("t", NC_DOUBLE, 2, dimids,
7247 "temperature", "K", deflate_level, quant_digits);
7248
7249 /* Write emitters (2D)... */
7250 for (int ig = 0; ig < ctl->ng; ig++)
7251 if (nc_inq_varid(ncid, ctl->emitter[ig], &varid) != NC_NOERR) {
7252 sprintf(longname, "%s volume mixing ratio", ctl->emitter[ig]);
7253 NC_DEF_VAR(ctl->emitter[ig], NC_DOUBLE, 2, dimids,
7254 longname, "ppv", deflate_level, quant_digits);
7255 }
7256
7257 /* Write extinction (2D)... */
7258 for (int iw = 0; iw < ctl->nw; iw++) {
7259 sprintf(varname, "ext_win_%d", iw);
7260 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7261 sprintf(longname, "extinction (window %d)", iw);
7262 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids,
7263 longname, "km**-1", deflate_level, quant_digits);
7264 }
7265 }
7266
7267 /* Write cloud variables (1D)... */
7268 if (ctl->ncl > 0) {
7269 if (nc_inq_varid(ncid, "cld_z", &varid) != NC_NOERR)
7270 NC_DEF_VAR("cld_z", NC_DOUBLE, 1, dimids,
7271 "cloud layer height", "km", deflate_level, quant_digits);
7272
7273 if (nc_inq_varid(ncid, "cld_dz", &varid) != NC_NOERR)
7274 NC_DEF_VAR("cld_dz", NC_DOUBLE, 1, dimids,
7275 "cloud layer depth", "km", deflate_level, quant_digits);
7276
7277 for (int icl = 0; icl < ctl->ncl; icl++) {
7278 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7279 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7280 sprintf(longname, "cloud layer extinction (%.4f cm^-1)",
7281 ctl->clnu[icl]);
7282 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "km**-1",
7283 deflate_level, quant_digits);
7284 }
7285 }
7286 }
7287
7288 /* Write surface variables (1D)... */
7289 if (ctl->nsf > 0) {
7290 if (nc_inq_varid(ncid, "srf_t", &varid) != NC_NOERR)
7291 NC_DEF_VAR("srf_t", NC_DOUBLE, 1, dimids,
7292 "surface temperature", "K", deflate_level, quant_digits);
7293
7294 for (int isf = 0; isf < ctl->nsf; isf++) {
7295 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7296 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7297 sprintf(longname, "surface emissivity (%.4f cm^-1)", ctl->sfnu[isf]);
7298 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "1",
7299 deflate_level, quant_digits);
7300 }
7301 }
7302 }
7303
7304 /* Leave define mode... */
7305 NC(nc_enddef(ncid));
7306
7307 /* Define hyperslabs... */
7308 size_t start[2] = { (size_t) profile, 0 };
7309 size_t count[2] = { 1, (size_t) atm->np };
7310
7311 /* Write nlev... */
7312 NC_PUT_INT("nlev", &atm->np, 1);
7313
7314 /* Write core variables... */
7315 NC_PUT_DOUBLE("time", atm->time, 1);
7316 NC_PUT_DOUBLE("z", atm->z, 1);
7317 NC_PUT_DOUBLE("lon", atm->lon, 1);
7318 NC_PUT_DOUBLE("lat", atm->lat, 1);
7319 NC_PUT_DOUBLE("p", atm->p, 1);
7320 NC_PUT_DOUBLE("t", atm->t, 1);
7321
7322 /* Write emitters... */
7323 for (int ig = 0; ig < ctl->ng; ig++)
7324 NC_PUT_DOUBLE(ctl->emitter[ig], atm->q[ig], 1);
7325
7326 /* Write extinction... */
7327 for (int iw = 0; iw < ctl->nw; iw++) {
7328 sprintf(varname, "ext_win_%d", iw);
7329 NC_PUT_DOUBLE(varname, atm->k[iw], 1);
7330 }
7331
7332 /* Write cloud variables... */
7333 if (ctl->ncl > 0) {
7334 NC_PUT_DOUBLE("cld_z", &atm->clz, 1);
7335 NC_PUT_DOUBLE("cld_dz", &atm->cldz, 1);
7336 for (int icl = 0; icl < ctl->ncl; icl++) {
7337 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7338 NC_PUT_DOUBLE(varname, &atm->clk[icl], 1);
7339 }
7340 }
7341
7342 /* Write surface variables... */
7343 if (ctl->nsf > 0) {
7344 NC_PUT_DOUBLE("srf_t", &atm->sft, 1);
7345 for (int isf = 0; isf < ctl->nsf; isf++) {
7346 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7347 NC_PUT_DOUBLE(varname, &atm->sfeps[isf], 1);
7348 }
7349 }
7350
7351 /* Close file... */
7352 NC(nc_sync(ncid));
7353 NC(nc_close(ncid));
7354}
#define NC_PUT_INT(varname, ptr, hyperslab)
Write integer data to a NetCDF variable.
Definition: jurassic.h:799
#define NC_DEF_VAR(varname, type, ndims, dims, long_name, units, level, quant)
Define a NetCDF variable with attributes.
Definition: jurassic.h:668
#define NC_PUT_DOUBLE(varname, ptr, hyperslab)
Write double precision data to a NetCDF variable.
Definition: jurassic.h:752

◆ write_atm_rfm()

void write_atm_rfm ( const char *  filename,
const ctl_t ctl,
const atm_t atm 
)

Write atmospheric profile in RFM-compatible format.

Exports the current atmospheric state to a file formatted for use with the Reference Forward Model (RFM). The file includes altitude, pressure, temperature, and volume mixing ratio profiles for each active emitter.

Parameters
[in]filenameOutput file name for the RFM atmosphere file.
[in]ctlPointer to the control structure defining active emitters.
[in]atmPointer to the atmospheric profile to export.
  • Produces a plain-text RFM atmosphere file with the following sections:
    NLAYERS
    *HGT [km]
    <altitude_1>
    ...
    *PRE [mb]
    <pressure_1>
    ...
    *TEM [K]
    <temperature_1>
    ...
    *<EMITTER> [ppmv]
    <mixing_ratio_1>
    ...
    *END
  • The first line specifies the number of vertical layers (atm->np).
  • Each subsequent block begins with a keyword (e.g., *HGT, *PRE, etc.) and lists one value per line.
  • Mixing ratios are converted from parts per volume (ppv) to parts per million (ppmv).
See also
read_atm, ctl_t, atm_t
Note
  • Compatible with the RFM “ATM” input file format.
  • Units:
    • Altitude in kilometers [km]
    • Pressure in millibars [mb]
    • Temperature in Kelvin [K]
    • Mixing ratios in parts per million by volume [ppmv]
Warning
  • Existing files with the same name will be overwritten.
  • The function assumes consistent vertical ordering (surface → top of atmosphere).
Author
Lars Hoffmann

Definition at line 7358 of file jurassic.c.

7361 {
7362
7363 FILE *out;
7364
7365 /* Write info... */
7366 LOG(1, "Write RFM data: %s", filename);
7367
7368 /* Create file... */
7369 if (!(out = fopen(filename, "w")))
7370 ERRMSG("Cannot create file!");
7371
7372 /* Write data... */
7373 fprintf(out, "%d\n", atm->np);
7374 fprintf(out, "*HGT [km]\n");
7375 for (int ip = 0; ip < atm->np; ip++)
7376 fprintf(out, "%g\n", atm->z[ip]);
7377 fprintf(out, "*PRE [mb]\n");
7378 for (int ip = 0; ip < atm->np; ip++)
7379 fprintf(out, "%g\n", atm->p[ip]);
7380 fprintf(out, "*TEM [K]\n");
7381 for (int ip = 0; ip < atm->np; ip++)
7382 fprintf(out, "%g\n", atm->t[ip]);
7383 for (int ig = 0; ig < ctl->ng; ig++) {
7384 fprintf(out, "*%s [ppmv]\n", ctl->emitter[ig]);
7385 for (int ip = 0; ip < atm->np; ip++)
7386 fprintf(out, "%g\n", atm->q[ig][ip] * 1e6);
7387 }
7388 fprintf(out, "*END\n");
7389
7390 /* Close file... */
7391 fclose(out);
7392}

◆ write_matrix()

void write_matrix ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
const gsl_matrix *  matrix,
const atm_t atm,
const obs_t obs,
const char *  rowspace,
const char *  colspace,
const char *  sort 
)

Write a fully annotated matrix (e.g., Jacobian or gain matrix) to file.

Outputs a numerical matrix along with detailed metadata describing the row and column spaces. Depending on configuration, the rows and columns may correspond to measurement or state variables.

Parameters
[in]dirnameOutput directory path (may be NULL).
[in]filenameOutput file name.
[in]ctlPointer to control structure defining model setup and metadata.
[in]matrixPointer to GSL matrix to write (e.g., Jacobian, kernel, or covariance).
[in]atmPointer to atmospheric data structure (used when state-space indexing applies).
[in]obsPointer to observation data structure (used when measurement-space indexing applies).
[in]rowspaceSelects row labeling: "y" = measurement space, otherwise state space.
[in]colspaceSelects column labeling: "y" = measurement space, otherwise state space.
[in]sortDetermines writing order: "r" = row-major, otherwise column-major.
  • This routine writes one matrix element per line, including descriptive metadata:
    RowIndex RowMeta... ColIndex ColMeta... MatrixValue
  • The row and column metadata differ depending on space selection:
    • **Measurement space (‘'y’`)**:
      • Channel wavenumber [cm⁻¹]
      • Observation time [s since 2000-01-01T00:00Z]
      • View point altitude [km], longitude [°], latitude [°]
    • State space:
      • Quantity name (e.g., TEMPERATURE, H2O)
      • Time, altitude, longitude, latitude of the profile point
  • The header clearly documents all output columns for traceability.
See also
read_matrix, kernel, atm2x, obs2y, idx2name
Note
  • The function respects ctl->write_matrix — output is skipped if disabled.
  • Output is human-readable and can be post-processed using external tools (e.g., Python, MATLAB, GNU Octave).
  • Typically used for writing Jacobians, gain matrices, or averaging kernels.
  • Matrix orientation can be changed with sort to support row-major or column-major output.
Warning
  • Large matrices may produce very large output files.
  • Memory allocation is performed for temporary indexing arrays; ensure sufficient resources for large N, M.
  • The function overwrites existing files without confirmation.
Author
Lars Hoffmann

Definition at line 7396 of file jurassic.c.

7405 {
7406
7407 FILE *out;
7408
7409 char file[LEN], quantity[LEN];
7410
7411 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
7412
7413 size_t i, j, nc, nr;
7414
7415 /* Check output flag... */
7416 if (!ctl->write_matrix)
7417 return;
7418
7419 /* Allocate... */
7420 ALLOC(cida, int,
7421 M);
7422 ALLOC(ciqa, int,
7423 N);
7424 ALLOC(cipa, int,
7425 N);
7426 ALLOC(cira, int,
7427 M);
7428 ALLOC(rida, int,
7429 M);
7430 ALLOC(riqa, int,
7431 N);
7432 ALLOC(ripa, int,
7433 N);
7434 ALLOC(rira, int,
7435 M);
7436
7437 /* Set filename... */
7438 if (dirname != NULL)
7439 sprintf(file, "%s/%s", dirname, filename);
7440 else
7441 sprintf(file, "%s", filename);
7442
7443 /* Write info... */
7444 LOG(1, "Write matrix: %s", file);
7445
7446 /* Create file... */
7447 if (!(out = fopen(file, "w")))
7448 ERRMSG("Cannot create file!");
7449
7450 /* Write header (row space)... */
7451 if (rowspace[0] == 'y') {
7452
7453 fprintf(out,
7454 "# $1 = Row: index (measurement space)\n"
7455 "# $2 = Row: channel wavenumber [cm^-1]\n"
7456 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7457 "# $4 = Row: view point altitude [km]\n"
7458 "# $5 = Row: view point longitude [deg]\n"
7459 "# $6 = Row: view point latitude [deg]\n");
7460
7461 /* Get number of rows... */
7462 nr = obs2y(ctl, obs, NULL, rida, rira);
7463
7464 } else {
7465
7466 fprintf(out,
7467 "# $1 = Row: index (state space)\n"
7468 "# $2 = Row: name of quantity\n"
7469 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7470 "# $4 = Row: altitude [km]\n"
7471 "# $5 = Row: longitude [deg]\n" "# $6 = Row: latitude [deg]\n");
7472
7473 /* Get number of rows... */
7474 nr = atm2x(ctl, atm, NULL, riqa, ripa);
7475 }
7476
7477 /* Write header (column space)... */
7478 if (colspace[0] == 'y') {
7479
7480 fprintf(out,
7481 "# $7 = Col: index (measurement space)\n"
7482 "# $8 = Col: channel wavenumber [cm^-1]\n"
7483 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7484 "# $10 = Col: view point altitude [km]\n"
7485 "# $11 = Col: view point longitude [deg]\n"
7486 "# $12 = Col: view point latitude [deg]\n");
7487
7488 /* Get number of columns... */
7489 nc = obs2y(ctl, obs, NULL, cida, cira);
7490
7491 } else {
7492
7493 fprintf(out,
7494 "# $7 = Col: index (state space)\n"
7495 "# $8 = Col: name of quantity\n"
7496 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7497 "# $10 = Col: altitude [km]\n"
7498 "# $11 = Col: longitude [deg]\n" "# $12 = Col: latitude [deg]\n");
7499
7500 /* Get number of columns... */
7501 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
7502 }
7503
7504 /* Write header entry... */
7505 fprintf(out, "# $13 = Matrix element\n\n");
7506
7507 /* Write matrix data... */
7508 i = j = 0;
7509 while (i < nr && j < nc) {
7510
7511 /* Write info about the row... */
7512 if (rowspace[0] == 'y')
7513 fprintf(out, "%d %.4f %.2f %g %g %g",
7514 (int) i, ctl->nu[rida[i]],
7515 obs->time[rira[i]], obs->vpz[rira[i]],
7516 obs->vplon[rira[i]], obs->vplat[rira[i]]);
7517 else {
7518 idx2name(ctl, riqa[i], quantity);
7519 fprintf(out, "%d %s %.2f %g %g %g", (int) i, quantity,
7520 atm->time[ripa[i]], atm->z[ripa[i]],
7521 atm->lon[ripa[i]], atm->lat[ripa[i]]);
7522 }
7523
7524 /* Write info about the column... */
7525 if (colspace[0] == 'y')
7526 fprintf(out, " %d %.4f %.2f %g %g %g",
7527 (int) j, ctl->nu[cida[j]],
7528 obs->time[cira[j]], obs->vpz[cira[j]],
7529 obs->vplon[cira[j]], obs->vplat[cira[j]]);
7530 else {
7531 idx2name(ctl, ciqa[j], quantity);
7532 fprintf(out, " %d %s %.2f %g %g %g", (int) j, quantity,
7533 atm->time[cipa[j]], atm->z[cipa[j]],
7534 atm->lon[cipa[j]], atm->lat[cipa[j]]);
7535 }
7536
7537 /* Write matrix entry... */
7538 fprintf(out, " %g\n", gsl_matrix_get(matrix, i, j));
7539
7540 /* Set matrix indices... */
7541 if (sort[0] == 'r') {
7542 j++;
7543 if (j >= nc) {
7544 j = 0;
7545 i++;
7546 fprintf(out, "\n");
7547 }
7548 } else {
7549 i++;
7550 if (i >= nr) {
7551 i = 0;
7552 j++;
7553 fprintf(out, "\n");
7554 }
7555 }
7556 }
7557
7558 /* Close file... */
7559 fclose(out);
7560
7561 /* Free... */
7562 free(cida);
7563 free(ciqa);
7564 free(cipa);
7565 free(cira);
7566 free(rida);
7567 free(riqa);
7568 free(ripa);
7569 free(rira);
7570}
void idx2name(const ctl_t *ctl, const int idx, char *quantity)
Convert a quantity index to a descriptive name string.
Definition: jurassic.c:3952
#define M
Maximum size of measurement vector.
Definition: jurassic.h:273
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◆ write_obs()

void write_obs ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
const obs_t obs 
)

Write observation data to an output file in ASCII or binary format.

This C function constructs the full output file path from the provided directory and filename, opens the file for writing, and exports the contents of the obs_t structure in either ASCII or binary format, depending on the observation format specified by ctl->obsfmt. The actual writing of formatted data is delegated to write_obs_asc() or write_obs_bin().

After writing, the function prints diagnostic information showing ranges of times, observer coordinates, view point coordinates, tangent point coordinates, radiance or brightness temperature values (depending on ctl->write_bbt), and transmittances. These diagnostics provide useful verification that the output data is valid and consistent.

Parameters
[in]dirnameOptional directory path. If NULL, only filename is used.
[in]filenameName of the output observation file.
[in]ctlControl structure specifying output format, spectral channel configuration, and brightness-temperature mode.
[in]obsObservation structure containing the data to be written.
Note
This is a C function. The output file is always overwritten if it already exists.
Warning
The routine aborts with an error message if the output file cannot be created, or if ctl->obsfmt specifies an unsupported format.
See also
write_obs_asc(), write_obs_bin(), read_obs(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 7574 of file jurassic.c.

7578 {
7579
7580 char file[LEN];
7581
7582 /* Set filename... */
7583 if (dirname != NULL)
7584 sprintf(file, "%s/%s", dirname, filename);
7585 else
7586 sprintf(file, "%s", filename);
7587
7588 /* Write info... */
7589 LOG(1, "Write observation data: %s", file);
7590
7591 /* Write ASCII data... */
7592 if (ctl->obsfmt == 1)
7593 write_obs_asc(file, ctl, obs);
7594
7595 /* Write binary data... */
7596 else if (ctl->obsfmt == 2)
7597 write_obs_bin(file, ctl, obs);
7598
7599 /* Write netCDF data... */
7600 else if (ctl->obsfmt == 3)
7601 write_obs_nc(file, ctl, obs, 0);
7602
7603 /* Write info... */
7604 double mini, maxi;
7605 LOG(2, "Number of ray paths: %d", obs->nr);
7606 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
7607 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
7608 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
7609 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
7610 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
7611 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
7612 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
7613 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
7614 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
7615 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
7616 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
7617 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
7618 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
7619 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
7620 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
7621 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
7622 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
7623 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
7624 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
7625 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
7626 for (int id = 0; id < ctl->nd; id++) {
7627 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
7628 if (ctl->write_bbt) {
7629 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
7630 ctl->nu[id], mini, maxi);
7631 } else {
7632 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
7633 ctl->nu[id], mini, maxi);
7634 }
7635 }
7636 for (int id = 0; id < ctl->nd; id++) {
7637 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
7638 if (ctl->write_bbt) {
7639 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
7640 ctl->nu[id], mini, maxi);
7641 }
7642 }
7643}
void write_obs_asc(const char *filename, const ctl_t *ctl, const obs_t *obs)
Write observation data to an ASCII text file.
Definition: jurassic.c:7647
void write_obs_nc(const char *filename, const ctl_t *ctl, const obs_t *obs, const int profile)
Write one observation profile to a NetCDF file.
Definition: jurassic.c:7771
void write_obs_bin(const char *filename, const ctl_t *ctl, const obs_t *obs)
Write observation data in binary format to a file.
Definition: jurassic.c:7703
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◆ write_obs_asc()

void write_obs_asc ( const char *  filename,
const ctl_t ctl,
const obs_t obs 
)

Write observation data to an ASCII text file.

This C function writes the contents of the obs_t observation structure as human-readable ASCII text to a file specified by its filename. It first prints a descriptive header that documents each column of the output format, including observation time, observer and view geometry, tangent point information, and spectral values. The number and meaning of spectral fields depend on ctl->nd and whether brightness temperature output is enabled via ctl->write_bbt.

The function then writes one line of data per ray path, including the base geometric information followed by radiance or brightness temperature values and transmittances for each spectral channel. Blank lines are inserted whenever the time stamp changes, providing visual separation of distinct observation groups.

Parameters
filenamePath to the ASCII output file.
ctlControl structure specifying the number of spectral channels (nd), wavenumbers (nu), and output mode (write_bbt).
obsObservation structure containing the data to be written.
Note
This routine produces plain-text output intended for inspection, debugging, and compatibility with external processing tools.
Warning
The caller must ensure that the file specified by filename is writable. Existing files may be overwritten.
See also
write_obs(), write_obs_bin(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 7647 of file jurassic.c.

7650 {
7651
7652 int n = 10;
7653
7654 /* Create file... */
7655 FILE *out;
7656 if (!(out = fopen(filename, "w")))
7657 ERRMSG("Cannot create file!");
7658
7659 /* Write header... */
7660 fprintf(out,
7661 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
7662 "# $2 = observer altitude [km]\n"
7663 "# $3 = observer longitude [deg]\n"
7664 "# $4 = observer latitude [deg]\n"
7665 "# $5 = view point altitude [km]\n"
7666 "# $6 = view point longitude [deg]\n"
7667 "# $7 = view point latitude [deg]\n"
7668 "# $8 = tangent point altitude [km]\n"
7669 "# $9 = tangent point longitude [deg]\n"
7670 "# $10 = tangent point latitude [deg]\n");
7671 for (int id = 0; id < ctl->nd; id++)
7672 if (ctl->write_bbt)
7673 fprintf(out, "# $%d = brightness temperature (%.4f cm^-1) [K]\n",
7674 ++n, ctl->nu[id]);
7675 else
7676 fprintf(out, "# $%d = radiance (%.4f cm^-1) [W/(m^2 sr cm^-1)]\n",
7677 ++n, ctl->nu[id]);
7678 for (int id = 0; id < ctl->nd; id++)
7679 fprintf(out, "# $%d = transmittance (%.4f cm^-1) [-]\n", ++n,
7680 ctl->nu[id]);
7681
7682 /* Write data... */
7683 for (int ir = 0; ir < obs->nr; ir++) {
7684 if (ir == 0 || obs->time[ir] != obs->time[ir - 1])
7685 fprintf(out, "\n");
7686 fprintf(out, "%.2f %g %g %g %g %g %g %g %g %g", obs->time[ir],
7687 obs->obsz[ir], obs->obslon[ir], obs->obslat[ir],
7688 obs->vpz[ir], obs->vplon[ir], obs->vplat[ir],
7689 obs->tpz[ir], obs->tplon[ir], obs->tplat[ir]);
7690 for (int id = 0; id < ctl->nd; id++)
7691 fprintf(out, " %g", obs->rad[id][ir]);
7692 for (int id = 0; id < ctl->nd; id++)
7693 fprintf(out, " %g", obs->tau[id][ir]);
7694 fprintf(out, "\n");
7695 }
7696
7697 /* Close file... */
7698 fclose(out);
7699}

◆ write_obs_bin()

void write_obs_bin ( const char *  filename,
const ctl_t ctl,
const obs_t obs 
)

Write observation data in binary format to a file.

This C function serializes the contents of the obs_t structure into a compact binary format and writes it to a file specified by its filename. The binary format begins with a header consisting of a magic identifier ("OBS1") and the number of spectral channels (ctl->nd). This header is used by read_obs_bin() to validate compatibility when reading.

Following the header, the function writes the number of ray paths and then sequentially outputs arrays of observation metadata, geometric parameters, radiance or brightness temperature values, and transmittances. All values are written in native binary representation using the FWRITE() macro, which performs buffered writes and error checking.

Parameters
filenamePath to the binary output file.
ctlControl structure specifying the number of spectral channels (nd) and corresponding configuration parameters.
obsObservation structure containing the data to be written.
Note
This routine does not perform any formatting or conversion. The resulting file is portable only to systems with compatible binary layouts (integer size, floating-point format, and endianness).
Warning
The caller must ensure that the file specified by filename is writable. Existing files may be overwritten.
See also
write_obs(), write_obs_asc(), read_obs_bin(), ctl_t, obs_t
Author
Lars Hoffmann

Definition at line 7703 of file jurassic.c.

7706 {
7707
7708 /* Create file... */
7709 FILE *out;
7710 if (!(out = fopen(filename, "w")))
7711 ERRMSG("Cannot create file!");
7712
7713 /* Write header... */
7714 FWRITE("OBS1", char,
7715 4,
7716 out);
7717 FWRITE(&ctl->nd, int,
7718 1,
7719 out);
7720
7721 /* Write data... */
7722 size_t nr = (size_t) obs->nr;
7723 FWRITE(&nr, size_t,
7724 1,
7725 out);
7726 FWRITE(obs->time, double,
7727 nr,
7728 out);
7729 FWRITE(obs->obsz, double,
7730 nr,
7731 out);
7732 FWRITE(obs->obslon, double,
7733 nr,
7734 out);
7735 FWRITE(obs->obslat, double,
7736 nr,
7737 out);
7738 FWRITE(obs->vpz, double,
7739 nr,
7740 out);
7741 FWRITE(obs->vplon, double,
7742 nr,
7743 out);
7744 FWRITE(obs->vplat, double,
7745 nr,
7746 out);
7747 FWRITE(obs->tpz, double,
7748 nr,
7749 out);
7750 FWRITE(obs->tplon, double,
7751 nr,
7752 out);
7753 FWRITE(obs->tplat, double,
7754 nr,
7755 out);
7756 for (int id = 0; id < ctl->nd; id++)
7757 FWRITE(obs->rad[id], double,
7758 nr,
7759 out);
7760 for (int id = 0; id < ctl->nd; id++)
7761 FWRITE(obs->tau[id], double,
7762 nr,
7763 out);
7764
7765 /* Close file... */
7766 fclose(out);
7767}

◆ write_obs_nc()

void write_obs_nc ( const char *  filename,
const ctl_t ctl,
const obs_t obs,
const int  profile 
)

Write one observation profile to a NetCDF file.

This function writes all geometric and spectral observation data for a single profile into a NetCDF file using a variable-per-channel layout. If the file does not exist it is created; if it already exists, the required dimensions and variables are created if missing and then extended by writing the specified profile.

The NetCDF file will contain:

  • A dimension profile (unlimited)
  • A dimension ray (fixed, number of ray paths)
  • A variable nray(profile) giving the number of rays for each profile
  • Geometry variables with dimensions (profile, ray):
    • time, obs_z, obs_lon, obs_lat
    • vp_z, vp_lon, vp_lat
    • tp_z, tp_lon, tp_lat
  • Spectral variables with dimensions (profile, ray), one per channel:
    • rad_%.4f (radiance or brightness temperature)
    • tau_%.4f (transmittance) where the formatted frequency corresponds to ctl->nu[id].

Radiance is written either as physical radiance or as brightness temperature depending on ctl->write_bbt. The ray dimension is fixed on first creation and all subsequently written profiles must not exceed this number of rays.

Parameters
filenamePath to the NetCDF observation file.
ctlPointer to the control structure defining spectral channels.
obsPointer to the observation structure containing the data to be written.
profileZero-based index of the profile to write.
Author
Lars Hoffmann

Definition at line 7771 of file jurassic.c.

7775 {
7776
7777 char longname[LEN], varname[LEN];
7778
7779 int ncid, varid, dim_profile, dim_ray;
7780
7781 size_t ray_max;
7782
7783 /* Open or create file... */
7784 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
7785 NC(nc_create(filename, NC_NETCDF4, &ncid));
7786
7787 /* Enter define mode... */
7788 int r = nc_redef(ncid);
7789 if (r != NC_NOERR && r != NC_EINDEFINE)
7790 NC(r);
7791
7792 /* Define profile dimension (unlimited)... */
7793 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
7794 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
7795
7796 /* Define ray dimension (fixed)... */
7797 if (nc_inq_dimid(ncid, "ray", &dim_ray) == NC_NOERR) {
7798 NC(nc_inq_dimlen(ncid, dim_ray, &ray_max));
7799 if (ray_max < 1 || ray_max > (size_t) NR)
7800 ERRMSG("netCDF dimension ray is out of range!");
7801 if ((size_t) obs->nr > ray_max)
7802 ERRMSG("profile has too many rays!");
7803 } else {
7804 ray_max = (size_t) obs->nr;
7805 NC(nc_def_dim(ncid, "ray", ray_max, &dim_ray));
7806 }
7807
7808 /* Dimension ID array... */
7809 int dimids[2] = { dim_profile, dim_ray };
7810
7811 /* Tunables for compression/quantization... */
7812 const int deflate_level = 0;
7813 const int quant_digits = 0;
7814
7815 /* Define nray (1D over profile)... */
7816 if (nc_inq_varid(ncid, "nray", &varid) != NC_NOERR)
7817 NC_DEF_VAR("nray", NC_INT, 1, dimids, "number of ray paths", "1", 0, 0);
7818
7819 /* Define geometry variables (2D over profile, ray)... */
7820 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
7821 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
7822 "time in seconds since 2000-01-01, 00:00 UTC", "s",
7823 deflate_level, 0);
7824
7825 if (nc_inq_varid(ncid, "obs_z", &varid) != NC_NOERR)
7826 NC_DEF_VAR("obs_z", NC_DOUBLE, 2, dimids,
7827 "observer altitude", "km", deflate_level, 0);
7828
7829 if (nc_inq_varid(ncid, "obs_lon", &varid) != NC_NOERR)
7830 NC_DEF_VAR("obs_lon", NC_DOUBLE, 2, dimids,
7831 "observer longitude", "degrees_east", deflate_level, 0);
7832
7833 if (nc_inq_varid(ncid, "obs_lat", &varid) != NC_NOERR)
7834 NC_DEF_VAR("obs_lat", NC_DOUBLE, 2, dimids,
7835 "observer latitude", "degrees_north", deflate_level, 0);
7836
7837 if (nc_inq_varid(ncid, "vp_z", &varid) != NC_NOERR)
7838 NC_DEF_VAR("vp_z", NC_DOUBLE, 2, dimids,
7839 "view point altitude", "km", deflate_level, 0);
7840
7841 if (nc_inq_varid(ncid, "vp_lon", &varid) != NC_NOERR)
7842 NC_DEF_VAR("vp_lon", NC_DOUBLE, 2, dimids,
7843 "view point longitude", "degrees_east", deflate_level, 0);
7844
7845 if (nc_inq_varid(ncid, "vp_lat", &varid) != NC_NOERR)
7846 NC_DEF_VAR("vp_lat", NC_DOUBLE, 2, dimids,
7847 "view point latitude", "degrees_north", deflate_level, 0);
7848
7849 if (nc_inq_varid(ncid, "tp_z", &varid) != NC_NOERR)
7850 NC_DEF_VAR("tp_z", NC_DOUBLE, 2, dimids,
7851 "tangent point altitude", "km", deflate_level, 0);
7852
7853 if (nc_inq_varid(ncid, "tp_lon", &varid) != NC_NOERR)
7854 NC_DEF_VAR("tp_lon", NC_DOUBLE, 2, dimids,
7855 "tangent point longitude", "degrees_east", deflate_level, 0);
7856
7857 if (nc_inq_varid(ncid, "tp_lat", &varid) != NC_NOERR)
7858 NC_DEF_VAR("tp_lat", NC_DOUBLE, 2, dimids,
7859 "tangent point latitude", "degrees_north", deflate_level, 0);
7860
7861 /* Define radiance/transmittance per channel (2D profile,ray)... */
7862 for (int id = 0; id < ctl->nd; id++) {
7863
7864 sprintf(varname, "rad_%.4f", ctl->nu[id]);
7865 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7866 if (ctl->write_bbt) {
7867 sprintf(longname, "brightness temperature (%.4f cm^-1)", ctl->nu[id]);
7868 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "K",
7869 deflate_level, quant_digits);
7870 } else {
7871 sprintf(longname, "radiance (%.4f cm^-1)", ctl->nu[id]);
7872 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname,
7873 "W/(m^2 sr cm^-1)", deflate_level, quant_digits);
7874 }
7875 }
7876
7877 sprintf(varname, "tau_%.4f", ctl->nu[id]);
7878 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7879 sprintf(longname, "transmittance (%.4f cm^-1)", ctl->nu[id]);
7880 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "1",
7881 deflate_level, quant_digits);
7882 }
7883 }
7884
7885 /* Leave define mode... */
7886 NC(nc_enddef(ncid));
7887
7888 /* Hyperslabs... */
7889 size_t start[2] = { (size_t) profile, 0 };
7890 size_t count[2] = { 1, (size_t) obs->nr };
7891
7892 /* Write nray(profile)... */
7893 int nr = obs->nr;
7894 NC(nc_inq_varid(ncid, "nray", &varid));
7895 NC(nc_put_vara_int(ncid, varid, start, count, &nr));
7896
7897 /* Write geometry... */
7898 NC(nc_inq_varid(ncid, "time", &varid));
7899 NC(nc_put_vara_double(ncid, varid, start, count, obs->time));
7900
7901 NC(nc_inq_varid(ncid, "obs_z", &varid));
7902 NC(nc_put_vara_double(ncid, varid, start, count, obs->obsz));
7903
7904 NC(nc_inq_varid(ncid, "obs_lon", &varid));
7905 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslon));
7906
7907 NC(nc_inq_varid(ncid, "obs_lat", &varid));
7908 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslat));
7909
7910 NC(nc_inq_varid(ncid, "vp_z", &varid));
7911 NC(nc_put_vara_double(ncid, varid, start, count, obs->vpz));
7912
7913 NC(nc_inq_varid(ncid, "vp_lon", &varid));
7914 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplon));
7915
7916 NC(nc_inq_varid(ncid, "vp_lat", &varid));
7917 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplat));
7918
7919 NC(nc_inq_varid(ncid, "tp_z", &varid));
7920 NC(nc_put_vara_double(ncid, varid, start, count, obs->tpz));
7921
7922 NC(nc_inq_varid(ncid, "tp_lon", &varid));
7923 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplon));
7924
7925 NC(nc_inq_varid(ncid, "tp_lat", &varid));
7926 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplat));
7927
7928 /* Write spectral variables per channel... */
7929 for (int id = 0; id < ctl->nd; id++) {
7930 sprintf(varname, "rad_%.4f", ctl->nu[id]);
7931 NC(nc_inq_varid(ncid, varname, &varid));
7932 NC(nc_put_vara_double(ncid, varid, start, count, obs->rad[id]));
7933
7934 sprintf(varname, "tau_%.4f", ctl->nu[id]);
7935 NC(nc_inq_varid(ncid, varname, &varid));
7936 NC(nc_put_vara_double(ncid, varid, start, count, obs->tau[id]));
7937 }
7938
7939 /* Close file... */
7940 NC(nc_sync(ncid));
7941 NC(nc_close(ncid));
7942}

◆ write_shape()

void write_shape ( const char *  filename,
const double *  x,
const double *  y,
const int  n 
)

Write tabulated shape function data to a text file.

Exports a shape function (typically a weighting or field-of-view profile) defined by paired arrays of x and y values to an ASCII file.

Parameters
[in]filenameOutput file name.
[in]xPointer to array of x-values (independent variable).
[in]yPointer to array of y-values (dependent variable).
[in]nNumber of data points to write.
  • Writes a plain-text table with two columns:
    # $1 = shape function x-value [-]
    # $2 = shape function y-value [-]
  • Each line contains one (x, y) pair written with high precision.
  • Typically used to export field-of-view functions, apodization kernels, or any other normalized shape profiles used by the model.
See also
read_shape
Note
  • Units are dimensionless unless otherwise defined by the application.
  • The file is fully compatible with read_shape() for re-import.
  • Output precision is set to 10 significant digits for numerical stability.
Warning
  • Existing files with the same name will be overwritten.
  • The number of points n must be consistent with the size of x and y arrays.
Author
Lars Hoffmann

Definition at line 7946 of file jurassic.c.

7950 {
7951
7952 FILE *out;
7953
7954 /* Write info... */
7955 LOG(1, "Write shape function: %s", filename);
7956
7957 /* Create file... */
7958 if (!(out = fopen(filename, "w")))
7959 ERRMSG("Cannot create file!");
7960
7961 /* Write header... */
7962 fprintf(out,
7963 "# $1 = shape function x-value [-]\n"
7964 "# $2 = shape function y-value [-]\n\n");
7965
7966 /* Write data... */
7967 for (int i = 0; i < n; i++)
7968 fprintf(out, "%.10g %.10g\n", x[i], y[i]);
7969
7970 /* Close file... */
7971 fclose(out);
7972}

◆ write_stddev()

void write_stddev ( const char *  quantity,
const ret_t ret,
const ctl_t ctl,
const atm_t atm,
const gsl_matrix *  s 
)

Write retrieval standard deviation profiles to disk.

Extracts the diagonal elements of a covariance matrix (a priori, posterior, or error covariance) to obtain the standard deviations of retrieved quantities and writes them as an atmospheric profile file.

Parameters
[in]quantityName of the retrieved quantity (e.g., "apr", "pos", "err"), used to label the output file.
[in]retRetrieval configuration structure (ret_t), providing the working directory for output files.
[in]ctlGlobal control structure (ctl_t) defining retrieval setup and quantities.
[in]atmReference atmospheric state (atm_t) for spatial/geometric metadata.
[in]sCovariance matrix (gsl_matrix, n×n) from which standard deviations are derived (typically posterior covariance \(\mathbf{S}\)).

This function performs the following operations:

  1. Extracts the standard deviation vector \(\sigma_i = \sqrt{S_{ii}}\) from the diagonal of the covariance matrix \(\mathbf{S}\).
  2. Copies the reference atmospheric structure (atm) into an auxiliary structure (atm_aux) to preserve coordinate and geometric metadata.
  3. Converts the standard deviation vector into the atmospheric representation using x2atm(), thereby mapping elements of the state vector to the corresponding atmospheric quantities.
  4. Writes the result to disk as a diagnostic file:

    \[ \texttt{<ret->dir>/atm\_err\_<quantity>.tab} \]

    using the standard JURASSIC atmospheric file format.
See also
x2atm, copy_atm, write_atm, set_cov_apr, set_cov_meas
Note
  • The file naming convention follows atm_err_<quantity>.tab (e.g., atm_err_apr.tab, atm_err_pos.tab).
  • The output profile includes all state quantities defined in ctl.
  • Only diagonal uncertainties are written; correlations are not stored.
Warning
  • The covariance matrix s must be symmetric and positive-definite.
  • The state vector mapping (x2atm) must correspond to the matrix ordering.
Author
Lars Hoffmann

Definition at line 7976 of file jurassic.c.

7981 {
7982
7983 static atm_t atm_aux;
7984
7985 char filename[LEN];
7986
7987 /* Get sizes... */
7988 const size_t n = s->size1;
7989
7990 /* Allocate... */
7991 gsl_vector *x_aux = gsl_vector_alloc(n);
7992
7993 /* Compute standard deviation... */
7994 for (size_t i = 0; i < n; i++)
7995 gsl_vector_set(x_aux, i, sqrt(gsl_matrix_get(s, i, i)));
7996
7997 /* Write to disk... */
7998 copy_atm(ctl, &atm_aux, atm, 1);
7999 x2atm(ctl, x_aux, &atm_aux);
8000 sprintf(filename, "atm_err_%s.tab", quantity);
8001 write_atm(ret->dir, filename, ctl, &atm_aux);
8002
8003 /* Free... */
8004 gsl_vector_free(x_aux);
8005}
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◆ write_tbl()

void write_tbl ( const ctl_t ctl,
const tbl_t tbl 
)

Write emissivity lookup tables to disk.

Writes emissivity lookup tables stored in tbl using the output format specified by ctl->tblfmt:

  • ASCII (ctl->tblfmt == 1)
  • compact binary (ctl->tblfmt == 2)
  • netCDF (ctl->tblfmt == 3)

The function iterates over all emitters (ig) and detectors/channels (id) and dispatches the corresponding per-table writer.

Lookup tables with no pressure levels (i.e. tbl->np[id][ig] <= 0) are skipped intentionally. In this case, a warning is issued and no output artifact (file or NetCDF variable) is written for the affected table. This allows trace gases or channels with negligible contribution to be omitted cleanly from the output.

After writing the lookup tables, the associated spectral filter functions are written to separate files (format-dependent).

Parameters
[in]ctlPointer to the control structure defining the lookup table output format, base filenames, emitters, and spectral channels.
[in]tblPointer to the lookup-table structure containing the emissivity data and filter functions to be written.
Warning
If an unsupported lookup table format is specified via ctl->tblfmt, the function aborts with an error message.
Note
Missing output artifacts caused by skipped tables are handled gracefully by the corresponding readers, which treat missing tables as empty.
Author
Lars Hoffmann

Definition at line 8009 of file jurassic.c.

8011 {
8012
8013 /* Loop over emitters and detectors... */
8014 for (int ig = 0; ig < ctl->ng; ig++)
8015 for (int id = 0; id < ctl->nd; id++) {
8016
8017 /* Skip empty tables... */
8018 if (tbl->np[id][ig] <= 0) {
8019 WARN("Skip writing empty emissivity table: emitter=%s, nu=%.4f",
8020 ctl->emitter[ig], ctl->nu[id]);
8021 continue;
8022 }
8023
8024 /* Write ASCII look-up tables... */
8025 if (ctl->tblfmt == 1)
8026 write_tbl_asc(ctl, tbl, id, ig);
8027
8028 /* Write binary look-up tables... */
8029 else if (ctl->tblfmt == 2)
8030 write_tbl_bin(ctl, tbl, id, ig);
8031
8032 /* Write netCDF look-up tables... */
8033 else if (ctl->tblfmt == 3)
8034 write_tbl_nc(ctl, tbl, id, ig);
8035
8036 /* Write info... */
8037 TBL_LOG(tbl, id, ig);
8038 }
8039
8040 /* Write filter functions... */
8041 if (ctl->tblfmt == 1)
8042 for (int id = 0; id < ctl->nd; id++) {
8043 char filename[2 * LEN];
8044 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
8045 write_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
8046 tbl->filt_n[id]);
8047 }
8048}
void write_tbl_asc(const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
Write one emissivity lookup table in human-readable ASCII format.
Definition: jurassic.c:8052
void write_tbl_nc(const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
Write one packed lookup table to a NetCDF file.
Definition: jurassic.c:8136
void write_tbl_bin(const ctl_t *ctl, const tbl_t *tbl, const int id, const int ig)
Write one emissivity lookup table in compact binary format.
Definition: jurassic.c:8094
void write_shape(const char *filename, const double *x, const double *y, const int n)
Write tabulated shape function data to a text file.
Definition: jurassic.c:7946
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◆ write_tbl_asc()

void write_tbl_asc ( const ctl_t ctl,
const tbl_t tbl,
const int  id,
const int  ig 
)

Write one emissivity lookup table in human-readable ASCII format.

Writes the lookup table for detector/channel index id and emitter/gas index ig to a file named:

<ctl->tblbase>_<ctl->nu[id]>_<ctl->emitter[ig]>.tab

The ASCII file contains four columns:

  1. pressure [hPa]
  2. temperature [K]
  3. column density [molecules/cm^2]
  4. emissivity [-]

A header describing the columns is always written. If the table is empty (i.e. tbl->np[id][ig] == 0), the file will contain only the header.

Parameters
[in]ctlControl structure providing filename base, frequencies, and emitter names.
[in]tblLookup table data to be written.
[in]idDetector/channel index.
[in]igEmitter/gas index.
Author
Lars Hoffmann

Definition at line 8052 of file jurassic.c.

8056 {
8057
8058 /* Set filename... */
8059 char filename[2 * LEN];
8060 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
8061 ctl->nu[id], ctl->emitter[ig]);
8062
8063 /* Create file... */
8064 FILE *out;
8065 if (!(out = fopen(filename, "w"))) {
8066 ERRMSG("Cannot create emissivity table: %s", filename);
8067 } else
8068 LOG(1, "Write emissivity table: %s", filename);
8069
8070 /* Write header... */
8071 fprintf(out,
8072 "# $1 = pressure [hPa]\n"
8073 "# $2 = temperature [K]\n"
8074 "# $3 = column density [molecules/cm^2]\n"
8075 "# $4 = emissivity [-]\n");
8076
8077 /* Save table file... */
8078 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
8079 for (int it = 0; it < tbl->nt[id][ig][ip]; it++) {
8080 fprintf(out, "\n");
8081 for (int iu = 0; iu < tbl->nu[id][ig][ip][it]; iu++)
8082 fprintf(out, "%g %g %e %e\n",
8083 tbl->p[id][ig][ip], tbl->t[id][ig][ip][it],
8084 exp(tbl->logu[id][ig][ip][it][iu]),
8085 exp(tbl->logeps[id][ig][ip][it][iu]));
8086 }
8087
8088 /* Close file... */
8089 fclose(out);
8090}

◆ write_tbl_bin()

void write_tbl_bin ( const ctl_t ctl,
const tbl_t tbl,
const int  id,
const int  ig 
)

Write one emissivity lookup table in compact binary format.

Writes the lookup table for detector/channel index id and emitter/gas index ig to a file named:

<ctl->tblbase>_<ctl->nu[id]>_<ctl->emitter[ig]>.bin

The file contains a length field followed by a packed byte blob produced by tbl_pack():

  • size_t nbytes : number of bytes in the packed blob
  • uint8_t blob[] : packed lookup table data (see tbl_pack())

If the table is empty (tbl->np[id][ig] == 0), the packed blob still encodes this (it includes np = 0), so the file remains a valid representation of an empty table.

Parameters
[in]ctlControl structure providing filename base, frequencies, and emitter names.
[in]tblLookup table data to be packed and written.
[in]idDetector/channel index.
[in]igEmitter/gas index.
See also
tbl_pack()
Author
Lars Hoffmann

Definition at line 8094 of file jurassic.c.

8098 {
8099
8100 /* Set filename... */
8101 char filename[2 * LEN];
8102 sprintf(filename, "%s_%.4f_%s.bin",
8103 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
8104
8105 /* Create file... */
8106 FILE *out;
8107 if (!(out = fopen(filename, "w"))) {
8108 ERRMSG("Cannot create emissivity table: %s", filename);
8109 } else
8110 LOG(1, "Write emissivity table: %s", filename);
8111
8112 /* Pack... */
8113 size_t used = 0;
8114 const size_t need = tbl_packed_size(tbl, id, ig);
8115 uint8_t *work = NULL;
8116 ALLOC(work, uint8_t, need);
8117 tbl_pack(tbl, id, ig, work, &used);
8118 if (used != need)
8119 ERRMSG("Internal error: packed size mismatch!");
8120
8121 /* Write length and packed blob... */
8122 FWRITE(&used, size_t,
8123 1,
8124 out);
8125 FWRITE(work, uint8_t, used, out);
8126
8127 /* Close file... */
8128 fclose(out);
8129
8130 /* Free... */
8131 free(work);
8132}
void tbl_pack(const tbl_t *tbl, int id, int ig, uint8_t *buf, size_t *bytes_used)
Pack a lookup table into a contiguous binary buffer.
Definition: jurassic.c:6720
size_t tbl_packed_size(const tbl_t *tbl, int id, int ig)
Compute required buffer size (in bytes) for tbl_pack().
Definition: jurassic.c:6774
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◆ write_tbl_nc()

void write_tbl_nc ( const ctl_t ctl,
const tbl_t tbl,
const int  id,
const int  ig 
)

Write one packed lookup table to a NetCDF file.

Writes the lookup table for detector/channel index id and emitter/gas index ig to the NetCDF file:

<ctl->tblbase>_<ctl->emitter[ig]>.nc

The table is stored as a packed byte blob (produced by tbl_pack()) in a variable named tbl_XXXX with a corresponding dimension len_XXXX, where XXXX is the formatted frequency ctl->nu[id]. The variable type is NC_UBYTE.

If the NetCDF file does not exist, it is created and initialized with the global attributes:

  • format_version = "1"
  • emitter = ctl->emitter[ig]

To prevent accidental overwrites, the function terminates with an error if the target variable already exists in the file.

Parameters
[in]ctlControl structure defining emitter names, frequencies, and base filename.
[in]tblLookup table data structure containing the lookup table to be packed and written.
[in]idDetector/channel index.
[in]igEmitter/gas index.
See also
tbl_pack()
Author
Lars Hoffmann

Definition at line 8136 of file jurassic.c.

8140 {
8141
8142 /* Set filename... */
8143 char filename[2 * LEN];
8144 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
8145
8146 /* Open or create file... */
8147 int ncid;
8148 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR) {
8149 if (nc_create(filename, NC_NETCDF4 | NC_CLOBBER, &ncid) != NC_NOERR)
8150 ERRMSG("Cannot open or create emissivity table: %s", filename);
8151 NC_PUT_ATT_GLOBAL("format_version", "1");
8152 NC_PUT_ATT_GLOBAL("emitter", ctl->emitter[ig]);
8153 NC(nc_enddef(ncid));
8154 }
8155
8156 /* Set variable and dimension name... */
8157 char varname[LEN], dimname[LEN];
8158 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
8159 sprintf(dimname, "len_%.4f", ctl->nu[id]);
8160
8161 /* Write info... */
8162 LOG(1, "Write emissivity table: %s in %s", varname, filename);
8163
8164 /* Allocate work space... */
8165 size_t used = 0;
8166 const size_t need = tbl_packed_size(tbl, id, ig);
8167 uint8_t *work = NULL;
8168 ALLOC(work, uint8_t, need);
8169
8170 /* Pack table... */
8171 tbl_pack(tbl, id, ig, work, &used);
8172 if (used != need)
8173 ERRMSG("Internal error: packed size mismatch!");
8174
8175 /* Prevent overwrite... */
8176 int tmp;
8177 if (nc_inq_varid(ncid, varname, &tmp) == NC_NOERR)
8178 ERRMSG("Table already present!");
8179
8180 /* Add dimension and variable... */
8181 int dimid, varid;
8182 NC(nc_redef(ncid));
8183 NC(nc_def_dim(ncid, dimname, used, &dimid));
8184 int dimids[1] = { dimid };
8185 NC_DEF_VAR(varname, NC_UBYTE, 1, dimids,
8186 "Packed lookup table blob", "1", 0, 0);
8187 NC(nc_enddef(ncid));
8188
8189 /* Write data... */
8190 NC(nc_put_var_uchar(ncid, varid, (const unsigned char *) work));
8191
8192 /* Free... */
8193 free(work);
8194
8195 /* Close file... */
8196 NC(nc_close(ncid));
8197}
#define NC_PUT_ATT_GLOBAL(attname, text)
Add a global text attribute to a NetCDF file.
Definition: jurassic.h:838
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◆ x2atm()

void x2atm ( const ctl_t ctl,
const gsl_vector *  x,
atm_t atm 
)

Map retrieval state vector back to atmospheric structure.

Updates the atmospheric data structure (atm_t) from the contents of a retrieval state vector (x). This function performs the inverse transformation of atm2x(), assigning retrieved quantities such as pressure, temperature, gas volume mixing ratios, extinction, and cloud/surface parameters to the corresponding atmospheric fields.

Parameters
[in]ctlPointer to control structure defining retrieval settings, vertical range limits, and active retrieval flags.
[in]xPointer to retrieval state vector containing the updated values.
[out]atmPointer to atmospheric data structure to be updated.
  • Each atmospheric quantity is updated only within its respective retrieval altitude range (ctl->ret*_zmin/ctl->ret*_zmax).
  • For each retrievable parameter, the helper routine x2atm_help() is called to sequentially read the next element from the state vector.
  • The order of assignments must match that in atm2x() to ensure one-to-one correspondence between state vector indices and atmospheric fields.

Quantities mapped:

  • Pressure (p[zmin:zmax])
  • Temperature (t[zmin:zmax])
  • Gas volume mixing ratios (q[ig][zmin:zmax])
  • Extinction coefficients (k[iw][zmin:zmax])
  • Cloud parameters (clz, cldz, clk)
  • Surface parameters (sft, sfeps)
See also
atm2x, x2atm_help, ctl_t, atm_t
Note
  • Only parameters marked as retrievable in ctl (e.g. ret_sft, ret_clk) are modified.
  • The state vector index (n) advances automatically as each element is read.
  • The helper function x2atm_help() abstracts sequential access to vector elements.
Warning
  • The atmospheric profile must be initialized before calling this function.
  • Retrieval ranges and flags in ctl must correspond exactly to those used in the forward-model configuration.
  • Mismatch between atm2x() and x2atm() ordering will cause incorrect mappings.
Author
Lars Hoffmann

Definition at line 8201 of file jurassic.c.

8204 {
8205
8206 size_t n = 0;
8207
8208 /* Get pressure... */
8209 for (int ip = 0; ip < atm->np; ip++)
8210 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
8211 x2atm_help(&atm->p[ip], x, &n);
8212
8213 /* Get temperature... */
8214 for (int ip = 0; ip < atm->np; ip++)
8215 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
8216 x2atm_help(&atm->t[ip], x, &n);
8217
8218 /* Get volume mixing ratio... */
8219 for (int ig = 0; ig < ctl->ng; ig++)
8220 for (int ip = 0; ip < atm->np; ip++)
8221 if (atm->z[ip] >= ctl->retq_zmin[ig]
8222 && atm->z[ip] <= ctl->retq_zmax[ig])
8223 x2atm_help(&atm->q[ig][ip], x, &n);
8224
8225 /* Get extinction... */
8226 for (int iw = 0; iw < ctl->nw; iw++)
8227 for (int ip = 0; ip < atm->np; ip++)
8228 if (atm->z[ip] >= ctl->retk_zmin[iw]
8229 && atm->z[ip] <= ctl->retk_zmax[iw])
8230 x2atm_help(&atm->k[iw][ip], x, &n);
8231
8232 /* Get cloud data... */
8233 if (ctl->ret_clz)
8234 x2atm_help(&atm->clz, x, &n);
8235 if (ctl->ret_cldz)
8236 x2atm_help(&atm->cldz, x, &n);
8237 if (ctl->ret_clk)
8238 for (int icl = 0; icl < ctl->ncl; icl++)
8239 x2atm_help(&atm->clk[icl], x, &n);
8240
8241 /* Get surface data... */
8242 if (ctl->ret_sft)
8243 x2atm_help(&atm->sft, x, &n);
8244 if (ctl->ret_sfeps)
8245 for (int isf = 0; isf < ctl->nsf; isf++)
8246 x2atm_help(&atm->sfeps[isf], x, &n);
8247}
void x2atm_help(double *value, const gsl_vector *x, size_t *n)
Helper function to extract a single value from the retrieval state vector.
Definition: jurassic.c:8251
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◆ x2atm_help()

void x2atm_help ( double *  value,
const gsl_vector *  x,
size_t *  n 
)

Helper function to extract a single value from the retrieval state vector.

Retrieves the next element from the state vector x and assigns it to the provided scalar variable. This function is used by x2atm() to sequentially map the contents of the retrieval vector into the corresponding fields of the atmospheric structure.

Parameters
[out]valuePointer to the scalar variable to be updated.
[in]xPointer to the retrieval state vector (gsl_vector).
[in,out]nPointer to the current index in the state vector. The index is incremented after each extraction.
  • Acts as a lightweight iterator over the state vector elements.
  • Ensures consistent and sequential assignment order between atm2x() and x2atm().
  • Increments the index counter *n after reading a value, maintaining the correct position in the vector for subsequent calls.
See also
x2atm, atm2x
Note
  • The function performs no range checking; it assumes that the index is within valid bounds of the state vector length.
  • Typically used only internally by retrieval mapping routines.
Author
Lars Hoffmann

Definition at line 8251 of file jurassic.c.

8254 {
8255
8256 /* Get state vector element... */
8257 *value = gsl_vector_get(x, *n);
8258 (*n)++;
8259}

◆ y2obs()

void y2obs ( const ctl_t ctl,
const gsl_vector *  y,
obs_t obs 
)

Copy elements from the measurement vector y into the observation structure.

Decomposes the 1-D measurement vector y into its radiance components and writes them into the 2-D observation array obs->rad[id][ir], using the same ordering as produced by the corresponding forward model.

Only entries for which obs->rad[id][ir] is finite are updated. This allows missing or masked radiances to remain untouched in the observation structure.

Parameters
[in]ctlControl settings defining the number of detector channels (ctl->nd) and other retrieval configuration parameters.
[in]yMeasurement vector containing radiances in forward-model order.
[out]obsObservation structure whose radiance array (obs->rad) is to be filled with values from y.

The function loops over all ray paths (obs->nr) and detector channels (ctl->nd). For each pair (detector id, ray ir) where an existing value in obs->rad[id][ir] is finite, the next element from the measurement vector y is inserted. The counter m tracks progression through y.

This function is the inverse operation of the packing performed when constructing the measurement vector from an obs_t structure.

Note
The measurement vector y must contain as many finite elements as the number of finite entries in obs->rad, in the same scanning order.
See also
obs_t, ctl_t
Author
Lars Hoffmann

Definition at line 8263 of file jurassic.c.

8266 {
8267
8268 size_t m = 0;
8269
8270 /* Decompose measurement vector... */
8271 for (int ir = 0; ir < obs->nr; ir++)
8272 for (int id = 0; id < ctl->nd; id++)
8273 if (isfinite(obs->rad[id][ir])) {
8274 obs->rad[id][ir] = gsl_vector_get(y, m);
8275 m++;
8276 }
8277}