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, int profile)
 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, const ctl_t *ctl, gsl_matrix *matrix, int dataset)
 Read a numerical matrix from a file. More...
 
void read_matrix_asc (const char *dirname, const char *filename, gsl_matrix *matrix)
 Read a numerical matrix from an ASCII file. More...
 
void read_matrix_bin (const char *dirname, const char *filename, gsl_matrix *matrix)
 Read a numerical matrix from a binary file. More...
 
void read_matrix_nc (const char *dirname, const char *filename, gsl_matrix *matrix, int dataset)
 Read a numerical matrix from a netCDF file. More...
 
void read_obs (const char *dirname, const char *filename, const ctl_t *ctl, obs_t *obs, int profile)
 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...
 
const char * shared_io_input_target (const ret_t *ret, const char *shared_file, const char *legacy_file, const char **dirname, int *profile)
 Resolve retrieval input target for legacy-directory and shared-file modes. More...
 
const char * shared_io_output_target (const ret_t *ret, const char *shared_file, const char *legacy_file, const char **dirname, int *profile)
 Resolve retrieval output target for legacy-directory and shared-file modes. More...
 
int shared_io_lock (const ret_t *ret)
 Acquire an exclusive lock for shared retrieval output files. More...
 
void shared_io_unlock (int fd)
 Release a shared retrieval output lock. More...
 
const char * shared_io_output_file (const ret_t *ret)
 Return the primary shared retrieval output file configured for locking. 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_group (const char *name, const char *group, int output)
 Aggregate wall-clock timings for named code phases. More...
 
void write_atm (const char *dirname, const char *filename, const ctl_t *ctl, const atm_t *atm, int profile)
 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, int dataset)
 Write a fully annotated matrix (e.g., Jacobian or gain matrix) to file. More...
 
void write_matrix_asc (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 an ASCII file. More...
 
void write_matrix_bin (const char *dirname, const char *filename, const gsl_matrix *matrix)
 Write a numerical matrix to a binary file. More...
 
void write_matrix_nc (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, int dataset)
 Write a numerical matrix to a netCDF file. More...
 
void write_obs (const char *dirname, const char *filename, const ctl_t *ctl, const obs_t *obs, int profile)
 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 /* Allocate... */
38 atm_t *atm_cont, *atm_res;
39 ALLOC(atm_cont, atm_t, 1);
40 ALLOC(atm_res, atm_t, 1);
41
42 /* Get sizes... */
43 const size_t n = avk->size1;
44
45 /* Find sub-matrices for different quantities... */
46 size_t n0[NQ], n1[NQ];
47 for (int iq = 0; iq < NQ; iq++) {
48 n0[iq] = N;
49 for (size_t i = 0; i < n; i++) {
50 if (iqa[i] == iq && n0[iq] == N)
51 n0[iq] = i;
52 if (iqa[i] == iq)
53 n1[iq] = i - n0[iq] + 1;
54 }
55 }
56
57 /* Initialize... */
58 copy_atm(ctl, atm_cont, atm, 1);
59 copy_atm(ctl, atm_res, atm, 1);
60
61 /* Analyze quantities... */
62 analyze_avk_quantity(avk, IDXP, ipa, n0, n1, atm_cont->p, atm_res->p);
63 analyze_avk_quantity(avk, IDXT, ipa, n0, n1, atm_cont->t, atm_res->t);
64 for (int ig = 0; ig < ctl->ng; ig++)
65 analyze_avk_quantity(avk, IDXQ(ig), ipa, n0, n1,
66 atm_cont->q[ig], atm_res->q[ig]);
67 for (int iw = 0; iw < ctl->nw; iw++)
68 analyze_avk_quantity(avk, IDXK(iw), ipa, n0, n1,
69 atm_cont->k[iw], atm_res->k[iw]);
70 analyze_avk_quantity(avk, IDXCLZ, ipa, n0, n1, &atm_cont->clz,
71 &atm_res->clz);
72 analyze_avk_quantity(avk, IDXCLDZ, ipa, n0, n1, &atm_cont->cldz,
73 &atm_res->cldz);
74 for (int icl = 0; icl < ctl->ncl; icl++)
75 analyze_avk_quantity(avk, IDXCLK(icl), ipa, n0, n1,
76 &atm_cont->clk[icl], &atm_res->clk[icl]);
77 analyze_avk_quantity(avk, IDXSFT, ipa, n0, n1, &atm_cont->sft,
78 &atm_res->sft);
79 for (int isf = 0; isf < ctl->nsf; isf++)
80 analyze_avk_quantity(avk, IDXSFEPS(isf), ipa, n0, n1,
81 &atm_cont->sfeps[isf], &atm_res->sfeps[isf]);
82
83 /* Write results to disk... */
84 const char *dirname;
85 int profile;
86 const char *filename =
87 shared_io_output_target(ret, ret->shared_io_atm_cont_file, "atm_cont.tab",
88 &dirname, &profile);
89 write_atm(dirname, filename, ctl, atm_cont, profile);
91 "atm_res.tab", &dirname, &profile);
92 write_atm(dirname, filename, ctl, atm_res, profile);
93
94 /* Free... */
95 free(atm_cont);
96 free(atm_res);
97}
void write_atm(const char *dirname, const char *filename, const ctl_t *ctl, const atm_t *atm, int profile)
Write atmospheric data to a file.
Definition: jurassic.c:7319
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:101
const char * shared_io_output_target(const ret_t *ret, const char *shared_file, const char *legacy_file, const char **dirname, int *profile)
Resolve retrieval output target for legacy-directory and shared-file modes.
Definition: jurassic.c:6872
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:3270
#define N
Maximum size of state vector.
Definition: jurassic.h:278
#define IDXCLZ
Index for cloud layer height.
Definition: jurassic.h:383
#define IDXCLDZ
Index for cloud layer depth.
Definition: jurassic.h:386
#define IDXK(iw)
Indices for extinction.
Definition: jurassic.h:380
#define NQ
Maximum number of quantities.
Definition: jurassic.h:313
#define IDXSFT
Index for surface layer temperature.
Definition: jurassic.h:392
#define IDXSFEPS(isf)
Indices for surface layer emissivity.
Definition: jurassic.h:395
#define IDXCLK(icl)
Indices for cloud layer extinction.
Definition: jurassic.h:389
#define IDXP
Index for pressure.
Definition: jurassic.h:371
#define ALLOC(ptr, type, n)
Allocate memory for an array.
Definition: jurassic.h:418
#define IDXQ(ig)
Indices for volume mixing ratios.
Definition: jurassic.h:377
#define IDXT
Index for temperature.
Definition: jurassic.h:374
Atmospheric profile data.
Definition: jurassic.h:1398
double sfeps[NSF]
Surface emissivity.
Definition: jurassic.h:1440
double k[NW][NP]
Extinction [km^-1].
Definition: jurassic.h:1425
double t[NP]
Temperature [K].
Definition: jurassic.h:1419
double clz
Cloud layer height [km].
Definition: jurassic.h:1428
double cldz
Cloud layer depth [km].
Definition: jurassic.h:1431
double sft
Surface temperature [K].
Definition: jurassic.h:1437
double clk[NCL]
Cloud layer extinction [km^-1].
Definition: jurassic.h:1434
double q[NG][NP]
Volume mixing ratio [ppv].
Definition: jurassic.h:1422
double p[NP]
Pressure [hPa].
Definition: jurassic.h:1416
int nw
Number of spectral windows.
Definition: jurassic.h:1478
int ng
Number of emitters.
Definition: jurassic.h:1454
int ncl
Number of cloud layer spectral grid points.
Definition: jurassic.h:1484
int nsf
Number of surface layer spectral grid points.
Definition: jurassic.h:1490
char shared_io_atm_res_file[LEN]
Optional shared averaging-kernel resolution output file.
Definition: jurassic.h:1855
char shared_io_atm_cont_file[LEN]
Optional shared averaging-kernel contribution output file.
Definition: jurassic.h:1852
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◆ 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 101 of file jurassic.c.

108 {
109
110 /* Loop over state vector elements... */
111 if (n0[iq] < N)
112 for (size_t i = 0; i < n1[iq]; i++) {
113
114 /* Get area of averaging kernel... */
115 for (size_t j = 0; j < n1[iq]; j++)
116 cont[ipa[n0[iq] + i]] += gsl_matrix_get(avk, n0[iq] + i, n0[iq] + j);
117
118 /* Get information density... */
119 res[ipa[n0[iq] + i]] = 1 / gsl_matrix_get(avk, n0[iq] + i, n0[iq] + i);
120 }
121}

◆ 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 125 of file jurassic.c.

130 {
131
132 size_t n = 0;
133
134 /* Add pressure... */
135 for (int ip = 0; ip < atm->np; ip++)
136 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
137 atm2x_help(atm->p[ip], IDXP, ip, x, iqa, ipa, &n);
138
139 /* Add temperature... */
140 for (int ip = 0; ip < atm->np; ip++)
141 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
142 atm2x_help(atm->t[ip], IDXT, ip, x, iqa, ipa, &n);
143
144 /* Add volume mixing ratios... */
145 for (int ig = 0; ig < ctl->ng; ig++)
146 for (int ip = 0; ip < atm->np; ip++)
147 if (atm->z[ip] >= ctl->retq_zmin[ig]
148 && atm->z[ip] <= ctl->retq_zmax[ig])
149 atm2x_help(atm->q[ig][ip], IDXQ(ig), ip, x, iqa, ipa, &n);
150
151 /* Add extinction... */
152 for (int iw = 0; iw < ctl->nw; iw++)
153 for (int ip = 0; ip < atm->np; ip++)
154 if (atm->z[ip] >= ctl->retk_zmin[iw]
155 && atm->z[ip] <= ctl->retk_zmax[iw])
156 atm2x_help(atm->k[iw][ip], IDXK(iw), ip, x, iqa, ipa, &n);
157
158 /* Add cloud variables... */
159 if (ctl->ret_clz)
160 atm2x_help(atm->clz, IDXCLZ, 0, x, iqa, ipa, &n);
161 if (ctl->ret_cldz)
162 atm2x_help(atm->cldz, IDXCLDZ, 0, x, iqa, ipa, &n);
163 if (ctl->ret_clk)
164 for (int icl = 0; icl < ctl->ncl; icl++)
165 atm2x_help(atm->clk[icl], IDXCLK(icl), 0, x, iqa, ipa, &n);
166
167 /* Add surface variables... */
168 if (ctl->ret_sft)
169 atm2x_help(atm->sft, IDXSFT, 0, x, iqa, ipa, &n);
170 if (ctl->ret_sfeps)
171 for (int isf = 0; isf < ctl->nsf; isf++)
172 atm2x_help(atm->sfeps[isf], IDXSFEPS(isf), 0, x, iqa, ipa, &n);
173
174 return n;
175}
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:179
int np
Number of data points.
Definition: jurassic.h:1401
double z[NP]
Altitude [km].
Definition: jurassic.h:1407
double retp_zmin
Minimum altitude for pressure retrieval [km].
Definition: jurassic.h:1553
double retk_zmax[NW]
Maximum altitude for extinction retrieval [km].
Definition: jurassic.h:1574
double rett_zmax
Maximum altitude for temperature retrieval [km].
Definition: jurassic.h:1562
int ret_sfeps
Retrieve surface layer emissivity (0=no, 1=yes).
Definition: jurassic.h:1589
int ret_sft
Retrieve surface layer temperature (0=no, 1=yes).
Definition: jurassic.h:1586
int ret_clz
Retrieve cloud layer height (0=no, 1=yes).
Definition: jurassic.h:1577
double retq_zmax[NG]
Maximum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1568
double retq_zmin[NG]
Minimum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1565
double rett_zmin
Minimum altitude for temperature retrieval [km].
Definition: jurassic.h:1559
double retk_zmin[NW]
Minimum altitude for extinction retrieval [km].
Definition: jurassic.h:1571
int ret_clk
Retrieve cloud layer extinction (0=no, 1=yes).
Definition: jurassic.h:1583
int ret_cldz
Retrieve cloud layer depth (0=no, 1=yes).
Definition: jurassic.h:1580
double retp_zmax
Maximum altitude for pressure retrieval [km].
Definition: jurassic.h:1556
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◆ 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 179 of file jurassic.c.

186 {
187
188 /* Add element to state vector... */
189 if (x != NULL)
190 gsl_vector_set(x, *n, value);
191 if (iqa != NULL)
192 iqa[*n] = value_iqa;
193 if (ipa != NULL)
194 ipa[*n] = value_ip;
195 (*n)++;
196}

◆ 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 200 of file jurassic.c.

204 {
205
206 const double radius = NORM(x);
207
208 *lat = RAD2DEG(asin(x[2] / radius));
209 *lon = RAD2DEG(atan2(x[1], x[0]));
210 *z = radius - RE;
211}
#define RE
Mean radius of Earth [km].
Definition: jurassic.h:224
#define NORM(a)
Compute the norm (magnitude) of a 3D vector.
Definition: jurassic.h:996
#define RAD2DEG(rad)
Convert radians to degrees.
Definition: jurassic.h:1070

◆ 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 215 of file jurassic.c.

217 {
218
219 static const double z[121] = {
220 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
221 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
222 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
223 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
224 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
225 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
226 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120
227 };
228
229 static const double pre[121] = {
230 1017, 901.083, 796.45, 702.227, 617.614, 541.644, 473.437, 412.288,
231 357.603, 308.96, 265.994, 228.348, 195.619, 167.351, 143.039, 122.198,
232 104.369, 89.141, 76.1528, 65.0804, 55.641, 47.591, 40.7233, 34.8637,
233 29.8633, 25.5956, 21.9534, 18.8445, 16.1909, 13.9258, 11.9913,
234 10.34, 8.92988, 7.72454, 6.6924, 5.80701, 5.04654, 4.39238, 3.82902,
235 3.34337, 2.92413, 2.56128, 2.2464, 1.97258, 1.73384, 1.52519, 1.34242,
236 1.18197, 1.04086, 0.916546, 0.806832, 0.709875, 0.624101, 0.548176,
237 0.480974, 0.421507, 0.368904, 0.322408, 0.281386, 0.245249, 0.213465,
238 0.185549, 0.161072, 0.139644, 0.120913, 0.104568, 0.0903249, 0.0779269,
239 0.0671493, 0.0577962, 0.0496902, 0.0426736, 0.0366093, 0.0313743,
240 0.0268598, 0.0229699, 0.0196206, 0.0167399, 0.0142646, 0.0121397,
241 0.0103181, 0.00875775, 0.00742226, 0.00628076, 0.00530519, 0.00447183,
242 0.00376124, 0.00315632, 0.00264248, 0.00220738, 0.00184003, 0.00153095,
243 0.00127204, 0.00105608, 0.000876652, 0.00072798, 0.00060492,
244 0.000503201, 0.000419226, 0.000349896, 0.000292659, 0.000245421,
245 0.000206394, 0.000174125, 0.000147441, 0.000125333, 0.000106985,
246 9.173e-05, 7.90172e-05, 6.84172e-05, 5.95574e-05, 5.21183e-05,
247 4.58348e-05, 4.05127e-05, 3.59987e-05, 3.21583e-05, 2.88718e-05,
248 2.60322e-05, 2.35687e-05, 2.14263e-05, 1.95489e-05
249 };
250
251 static const double tem[121] = {
252 285.14, 279.34, 273.91, 268.3, 263.24, 256.55, 250.2, 242.82, 236.17,
253 229.87, 225.04, 221.19, 218.85, 217.19, 216.2, 215.68, 215.42, 215.55,
254 215.92, 216.4, 216.93, 217.45, 218, 218.68, 219.39, 220.25, 221.3,
255 222.41, 223.88, 225.42, 227.2, 229.52, 231.89, 234.51, 236.85, 239.42,
256 241.94, 244.57, 247.36, 250.32, 253.34, 255.82, 258.27, 260.39,
257 262.03, 263.45, 264.2, 264.78, 264.67, 264.38, 263.24, 262.03, 260.02,
258 258.09, 255.63, 253.28, 250.43, 247.81, 245.26, 242.77, 240.38,
259 237.94, 235.79, 233.53, 231.5, 229.53, 227.6, 225.62, 223.77, 222.06,
260 220.33, 218.69, 217.18, 215.64, 214.13, 212.52, 210.86, 209.25,
261 207.49, 205.81, 204.11, 202.22, 200.32, 198.39, 195.92, 193.46,
262 190.94, 188.31, 185.82, 183.57, 181.43, 179.74, 178.64, 178.1, 178.25,
263 178.7, 179.41, 180.67, 182.31, 184.18, 186.6, 189.53, 192.66, 196.54,
264 201.13, 205.93, 211.73, 217.86, 225, 233.53, 242.57, 252.14, 261.48,
265 272.97, 285.26, 299.12, 312.2, 324.17, 338.34, 352.56, 365.28
266 };
267
268 static const double c2h2[121] = {
269 1.352e-09, 2.83e-10, 1.269e-10, 6.926e-11, 4.346e-11, 2.909e-11,
270 2.014e-11, 1.363e-11, 8.71e-12, 5.237e-12, 2.718e-12, 1.375e-12,
271 5.786e-13, 2.16e-13, 7.317e-14, 2.551e-14, 1.055e-14, 4.758e-15,
272 2.056e-15, 7.703e-16, 2.82e-16, 1.035e-16, 4.382e-17, 1.946e-17,
273 9.638e-18, 5.2e-18, 2.811e-18, 1.494e-18, 7.925e-19, 4.213e-19,
274 1.998e-19, 8.78e-20, 3.877e-20, 1.728e-20, 7.743e-21, 3.536e-21,
275 1.623e-21, 7.508e-22, 3.508e-22, 1.65e-22, 7.837e-23, 3.733e-23,
276 1.808e-23, 8.77e-24, 4.285e-24, 2.095e-24, 1.032e-24, 5.082e-25,
277 2.506e-25, 1.236e-25, 6.088e-26, 2.996e-26, 1.465e-26, 0, 0, 0,
278 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
279 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
280 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
281 };
282
283 static const double c2h6[121] = {
284 2.667e-09, 2.02e-09, 1.658e-09, 1.404e-09, 1.234e-09, 1.109e-09,
285 1.012e-09, 9.262e-10, 8.472e-10, 7.71e-10, 6.932e-10, 6.216e-10,
286 5.503e-10, 4.87e-10, 4.342e-10, 3.861e-10, 3.347e-10, 2.772e-10,
287 2.209e-10, 1.672e-10, 1.197e-10, 8.536e-11, 5.783e-11, 3.846e-11,
288 2.495e-11, 1.592e-11, 1.017e-11, 6.327e-12, 3.895e-12, 2.403e-12,
289 1.416e-12, 8.101e-13, 4.649e-13, 2.686e-13, 1.557e-13, 9.14e-14,
290 5.386e-14, 3.19e-14, 1.903e-14, 1.14e-14, 6.875e-15, 4.154e-15,
291 2.538e-15, 1.553e-15, 9.548e-16, 5.872e-16, 3.63e-16, 2.244e-16,
292 1.388e-16, 8.587e-17, 5.308e-17, 3.279e-17, 2.017e-17, 1.238e-17,
293 7.542e-18, 4.585e-18, 2.776e-18, 1.671e-18, 9.985e-19, 5.937e-19,
294 3.518e-19, 2.07e-19, 1.215e-19, 7.06e-20, 4.097e-20, 2.37e-20,
295 1.363e-20, 7.802e-21, 4.441e-21, 2.523e-21, 1.424e-21, 8.015e-22,
296 4.497e-22, 2.505e-22, 1.391e-22, 7.691e-23, 4.238e-23, 2.331e-23,
297 1.274e-23, 6.929e-24, 3.752e-24, 2.02e-24, 1.083e-24, 5.774e-25,
298 3.041e-25, 1.593e-25, 8.308e-26, 4.299e-26, 2.195e-26, 1.112e-26,
299 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
300 0, 0, 0, 0, 0, 0, 0, 0, 0
301 };
302
303 static const double ccl4[121] = {
304 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10, 1.075e-10,
305 1.075e-10, 1.075e-10, 1.075e-10, 1.06e-10, 1.024e-10, 9.69e-11,
306 8.93e-11, 8.078e-11, 7.213e-11, 6.307e-11, 5.383e-11, 4.49e-11,
307 3.609e-11, 2.705e-11, 1.935e-11, 1.385e-11, 8.35e-12, 5.485e-12,
308 3.853e-12, 2.22e-12, 5.875e-13, 3.445e-13, 1.015e-13, 6.075e-14,
309 4.383e-14, 2.692e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
310 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
311 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
312 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
313 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
314 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
315 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
316 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
317 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14, 1e-14,
318 1e-14, 1e-14, 1e-14
319 };
320
321 static const double ch3oh[121] = {
322 5.01099e-10, 5.01099e-10, 5.01099e-10, 5.01099e-10, 5.01099e-10,
323 5.01099e-10, 5.50999e-10, 5.7313e-10, 5.75638e-10, 5.4086e-10,
324 4.77601e-10, 4.12907e-10, 3.6274e-10, 3.26448e-10, 2.9706e-10,
325 2.27698e-10, 1.96999e-10, 1.66212e-10, 1.17941e-10, 1.19844e-10,
326 1.11211e-10, 1.02714e-10, 9.86138e-11, 9.45133e-11, 9.04127e-11,
327 8.05243e-11, 6.3678e-11, 4.68317e-11, 4.00618e-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, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
332 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
333 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
334 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
335 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
336 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
337 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
338 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
339 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
340 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
341 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
342 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
343 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
344 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
345 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11, 3.95786e-11,
346 3.95786e-11
347 };
348
349 static const double ch4[121] = {
350 1.864e-06, 1.835e-06, 1.819e-06, 1.805e-06, 1.796e-06, 1.788e-06,
351 1.782e-06, 1.776e-06, 1.769e-06, 1.761e-06, 1.749e-06, 1.734e-06,
352 1.716e-06, 1.692e-06, 1.654e-06, 1.61e-06, 1.567e-06, 1.502e-06,
353 1.433e-06, 1.371e-06, 1.323e-06, 1.277e-06, 1.232e-06, 1.188e-06,
354 1.147e-06, 1.108e-06, 1.07e-06, 1.027e-06, 9.854e-07, 9.416e-07,
355 8.933e-07, 8.478e-07, 7.988e-07, 7.515e-07, 7.07e-07, 6.64e-07,
356 6.239e-07, 5.864e-07, 5.512e-07, 5.184e-07, 4.87e-07, 4.571e-07,
357 4.296e-07, 4.04e-07, 3.802e-07, 3.578e-07, 3.383e-07, 3.203e-07,
358 3.032e-07, 2.889e-07, 2.76e-07, 2.635e-07, 2.519e-07, 2.409e-07,
359 2.302e-07, 2.219e-07, 2.144e-07, 2.071e-07, 1.999e-07, 1.93e-07,
360 1.862e-07, 1.795e-07, 1.731e-07, 1.668e-07, 1.607e-07, 1.548e-07,
361 1.49e-07, 1.434e-07, 1.38e-07, 1.328e-07, 1.277e-07, 1.227e-07,
362 1.18e-07, 1.134e-07, 1.089e-07, 1.046e-07, 1.004e-07, 9.635e-08,
363 9.245e-08, 8.867e-08, 8.502e-08, 8.15e-08, 7.809e-08, 7.48e-08,
364 7.159e-08, 6.849e-08, 6.55e-08, 6.262e-08, 5.98e-08, 5.708e-08,
365 5.448e-08, 5.194e-08, 4.951e-08, 4.72e-08, 4.5e-08, 4.291e-08,
366 4.093e-08, 3.905e-08, 3.729e-08, 3.563e-08, 3.408e-08, 3.265e-08,
367 3.128e-08, 2.996e-08, 2.87e-08, 2.76e-08, 2.657e-08, 2.558e-08,
368 2.467e-08, 2.385e-08, 2.307e-08, 2.234e-08, 2.168e-08, 2.108e-08,
369 2.05e-08, 1.998e-08, 1.947e-08, 1.902e-08, 1.86e-08, 1.819e-08,
370 1.782e-08
371 };
372
373 static const double clo[121] = {
374 7.419e-15, 1.061e-14, 1.518e-14, 2.195e-14, 3.175e-14, 4.666e-14,
375 6.872e-14, 1.03e-13, 1.553e-13, 2.375e-13, 3.664e-13, 5.684e-13,
376 8.915e-13, 1.402e-12, 2.269e-12, 4.125e-12, 7.501e-12, 1.257e-11,
377 2.048e-11, 3.338e-11, 5.44e-11, 8.846e-11, 1.008e-10, 1.082e-10,
378 1.157e-10, 1.232e-10, 1.312e-10, 1.539e-10, 1.822e-10, 2.118e-10,
379 2.387e-10, 2.687e-10, 2.875e-10, 3.031e-10, 3.23e-10, 3.648e-10,
380 4.117e-10, 4.477e-10, 4.633e-10, 4.794e-10, 4.95e-10, 5.104e-10,
381 5.259e-10, 5.062e-10, 4.742e-10, 4.443e-10, 4.051e-10, 3.659e-10,
382 3.305e-10, 2.911e-10, 2.54e-10, 2.215e-10, 1.927e-10, 1.675e-10,
383 1.452e-10, 1.259e-10, 1.09e-10, 9.416e-11, 8.119e-11, 6.991e-11,
384 6.015e-11, 5.163e-11, 4.43e-11, 3.789e-11, 3.24e-11, 2.769e-11,
385 2.361e-11, 2.011e-11, 1.71e-11, 1.453e-11, 1.233e-11, 1.045e-11,
386 8.851e-12, 7.48e-12, 6.316e-12, 5.326e-12, 4.487e-12, 3.778e-12,
387 3.176e-12, 2.665e-12, 2.234e-12, 1.87e-12, 1.563e-12, 1.304e-12,
388 1.085e-12, 9.007e-13, 7.468e-13, 6.179e-13, 5.092e-13, 4.188e-13,
389 3.442e-13, 2.816e-13, 2.304e-13, 1.885e-13, 1.542e-13, 1.263e-13,
390 1.035e-13, 8.5e-14, 7.004e-14, 5.783e-14, 4.795e-14, 4.007e-14,
391 3.345e-14, 2.792e-14, 2.33e-14, 1.978e-14, 1.686e-14, 1.438e-14,
392 1.234e-14, 1.07e-14, 9.312e-15, 8.131e-15, 7.164e-15, 6.367e-15,
393 5.67e-15, 5.088e-15, 4.565e-15, 4.138e-15, 3.769e-15, 3.432e-15,
394 3.148e-15
395 };
396
397 static const double clono2[121] = {
398 1.011e-13, 1.515e-13, 2.272e-13, 3.446e-13, 5.231e-13, 8.085e-13,
399 1.253e-12, 1.979e-12, 3.149e-12, 5.092e-12, 8.312e-12, 1.366e-11,
400 2.272e-11, 3.791e-11, 6.209e-11, 9.101e-11, 1.334e-10, 1.951e-10,
401 2.853e-10, 3.94e-10, 4.771e-10, 5.771e-10, 6.675e-10, 7.665e-10,
402 8.504e-10, 8.924e-10, 9.363e-10, 8.923e-10, 8.411e-10, 7.646e-10,
403 6.525e-10, 5.576e-10, 4.398e-10, 3.403e-10, 2.612e-10, 1.915e-10,
404 1.407e-10, 1.028e-10, 7.455e-11, 5.42e-11, 3.708e-11, 2.438e-11,
405 1.618e-11, 1.075e-11, 7.17e-12, 4.784e-12, 3.205e-12, 2.147e-12,
406 1.44e-12, 9.654e-13, 6.469e-13, 4.332e-13, 2.891e-13, 1.926e-13,
407 1.274e-13, 8.422e-14, 5.547e-14, 3.636e-14, 2.368e-14, 1.536e-14,
408 9.937e-15, 6.39e-15, 4.101e-15, 2.61e-15, 1.659e-15, 1.052e-15,
409 6.638e-16, 4.172e-16, 2.61e-16, 1.63e-16, 1.013e-16, 6.275e-17,
410 3.879e-17, 2.383e-17, 1.461e-17, 8.918e-18, 5.43e-18, 3.301e-18,
411 1.997e-18, 1.203e-18, 7.216e-19, 4.311e-19, 2.564e-19, 1.519e-19,
412 8.911e-20, 5.203e-20, 3.026e-20, 1.748e-20, 9.99e-21, 5.673e-21,
413 3.215e-21, 1.799e-21, 1.006e-21, 5.628e-22, 3.146e-22, 1.766e-22,
414 9.94e-23, 5.614e-23, 3.206e-23, 1.841e-23, 1.071e-23, 6.366e-24,
415 3.776e-24, 2.238e-24, 1.326e-24, 8.253e-25, 5.201e-25, 3.279e-25,
416 2.108e-25, 1.395e-25, 9.326e-26, 6.299e-26, 4.365e-26, 3.104e-26,
417 2.219e-26, 1.621e-26, 1.185e-26, 8.92e-27, 6.804e-27, 5.191e-27,
418 4.041e-27
419 };
420
421 static const double co[121] = {
422 1.907e-07, 1.553e-07, 1.362e-07, 1.216e-07, 1.114e-07, 1.036e-07,
423 9.737e-08, 9.152e-08, 8.559e-08, 7.966e-08, 7.277e-08, 6.615e-08,
424 5.884e-08, 5.22e-08, 4.699e-08, 4.284e-08, 3.776e-08, 3.274e-08,
425 2.845e-08, 2.479e-08, 2.246e-08, 2.054e-08, 1.991e-08, 1.951e-08,
426 1.94e-08, 2.009e-08, 2.1e-08, 2.201e-08, 2.322e-08, 2.45e-08,
427 2.602e-08, 2.73e-08, 2.867e-08, 2.998e-08, 3.135e-08, 3.255e-08,
428 3.352e-08, 3.426e-08, 3.484e-08, 3.53e-08, 3.593e-08, 3.671e-08,
429 3.759e-08, 3.945e-08, 4.192e-08, 4.49e-08, 5.03e-08, 5.703e-08,
430 6.538e-08, 7.878e-08, 9.644e-08, 1.196e-07, 1.498e-07, 1.904e-07,
431 2.422e-07, 3.055e-07, 3.804e-07, 4.747e-07, 5.899e-07, 7.272e-07,
432 8.91e-07, 1.071e-06, 1.296e-06, 1.546e-06, 1.823e-06, 2.135e-06,
433 2.44e-06, 2.714e-06, 2.967e-06, 3.189e-06, 3.391e-06, 3.58e-06,
434 3.773e-06, 4.022e-06, 4.346e-06, 4.749e-06, 5.199e-06, 5.668e-06,
435 6.157e-06, 6.688e-06, 7.254e-06, 7.867e-06, 8.539e-06, 9.26e-06,
436 1.009e-05, 1.119e-05, 1.228e-05, 1.365e-05, 1.506e-05, 1.641e-05,
437 1.784e-05, 1.952e-05, 2.132e-05, 2.323e-05, 2.531e-05, 2.754e-05,
438 3.047e-05, 3.459e-05, 3.922e-05, 4.439e-05, 4.825e-05, 5.077e-05,
439 5.34e-05, 5.618e-05, 5.909e-05, 6.207e-05, 6.519e-05, 6.845e-05,
440 6.819e-05, 6.726e-05, 6.622e-05, 6.512e-05, 6.671e-05, 6.862e-05,
441 7.048e-05, 7.264e-05, 7.3e-05, 7.3e-05, 7.3e-05, 7.3e-05, 7.3e-05
442 };
443
444 static const double cof2[121] = {
445 7.5e-14, 1.055e-13, 1.485e-13, 2.111e-13, 3.001e-13, 4.333e-13,
446 6.269e-13, 9.221e-13, 1.364e-12, 2.046e-12, 3.093e-12, 4.703e-12,
447 7.225e-12, 1.113e-11, 1.66e-11, 2.088e-11, 2.626e-11, 3.433e-11,
448 4.549e-11, 5.886e-11, 7.21e-11, 8.824e-11, 1.015e-10, 1.155e-10,
449 1.288e-10, 1.388e-10, 1.497e-10, 1.554e-10, 1.606e-10, 1.639e-10,
450 1.64e-10, 1.64e-10, 1.596e-10, 1.542e-10, 1.482e-10, 1.382e-10,
451 1.289e-10, 1.198e-10, 1.109e-10, 1.026e-10, 9.484e-11, 8.75e-11,
452 8.086e-11, 7.49e-11, 6.948e-11, 6.446e-11, 5.961e-11, 5.505e-11,
453 5.085e-11, 4.586e-11, 4.1e-11, 3.665e-11, 3.235e-11, 2.842e-11,
454 2.491e-11, 2.11e-11, 1.769e-11, 1.479e-11, 1.197e-11, 9.631e-12,
455 7.74e-12, 6.201e-12, 4.963e-12, 3.956e-12, 3.151e-12, 2.507e-12,
456 1.99e-12, 1.576e-12, 1.245e-12, 9.83e-13, 7.742e-13, 6.088e-13,
457 4.782e-13, 3.745e-13, 2.929e-13, 2.286e-13, 1.782e-13, 1.388e-13,
458 1.079e-13, 8.362e-14, 6.471e-14, 4.996e-14, 3.85e-14, 2.96e-14,
459 2.265e-14, 1.729e-14, 1.317e-14, 9.998e-15, 7.549e-15, 5.683e-15,
460 4.273e-15, 3.193e-15, 2.385e-15, 1.782e-15, 1.331e-15, 9.957e-16,
461 7.461e-16, 5.601e-16, 4.228e-16, 3.201e-16, 2.438e-16, 1.878e-16,
462 1.445e-16, 1.111e-16, 8.544e-17, 6.734e-17, 5.341e-17, 4.237e-17,
463 3.394e-17, 2.759e-17, 2.254e-17, 1.851e-17, 1.54e-17, 1.297e-17,
464 1.096e-17, 9.365e-18, 8e-18, 6.938e-18, 6.056e-18, 5.287e-18,
465 4.662e-18
466 };
467
468 static const double f11[121] = {
469 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10,
470 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.65e-10, 2.635e-10, 2.536e-10,
471 2.44e-10, 2.348e-10, 2.258e-10, 2.153e-10, 2.046e-10, 1.929e-10,
472 1.782e-10, 1.648e-10, 1.463e-10, 1.291e-10, 1.1e-10, 8.874e-11,
473 7.165e-11, 5.201e-11, 3.744e-11, 2.577e-11, 1.64e-11, 1.048e-11,
474 5.993e-12, 3.345e-12, 1.839e-12, 9.264e-13, 4.688e-13, 2.329e-13,
475 1.129e-13, 5.505e-14, 2.825e-14, 1.492e-14, 7.997e-15, 5.384e-15,
476 3.988e-15, 2.955e-15, 2.196e-15, 1.632e-15, 1.214e-15, 9.025e-16,
477 6.708e-16, 4.984e-16, 3.693e-16, 2.733e-16, 2.013e-16, 1.481e-16,
478 1.087e-16, 7.945e-17, 5.782e-17, 4.195e-17, 3.038e-17, 2.19e-17,
479 1.577e-17, 1.128e-17, 8.063e-18, 5.753e-18, 4.09e-18, 2.899e-18,
480 2.048e-18, 1.444e-18, 1.015e-18, 7.12e-19, 4.985e-19, 3.474e-19,
481 2.417e-19, 1.677e-19, 1.161e-19, 8.029e-20, 5.533e-20, 3.799e-20,
482 2.602e-20, 1.776e-20, 1.209e-20, 8.202e-21, 5.522e-21, 3.707e-21,
483 2.48e-21, 1.652e-21, 1.091e-21, 7.174e-22, 4.709e-22, 3.063e-22,
484 1.991e-22, 1.294e-22, 8.412e-23, 5.483e-23, 3.581e-23, 2.345e-23,
485 1.548e-23, 1.027e-23, 6.869e-24, 4.673e-24, 3.173e-24, 2.153e-24,
486 1.461e-24, 1.028e-24, 7.302e-25, 5.188e-25, 3.739e-25, 2.753e-25,
487 2.043e-25, 1.528e-25, 1.164e-25, 9.041e-26, 7.051e-26, 5.587e-26,
488 4.428e-26, 3.588e-26, 2.936e-26, 2.402e-26, 1.995e-26
489 };
490
491 static const double f113[121] = {
492 1.9e-11, 1.9e-11, 1.899e-11, 1.899e-11, 1.898e-11, 1.898e-11,
493 1.897e-11, 1.896e-11, 1.895e-11, 1.894e-11, 1.893e-11, 1.89e-11,
494 1.887e-11, 1.871e-11, 1.854e-11, 1.803e-11, 1.751e-11, 1.664e-11,
495 1.576e-11, 1.466e-11, 1.356e-11, 1.236e-11, 1.116e-11, 9.931e-12,
496 8.702e-12, 7.515e-12, 6.4238e-12, 5.3326e-12, 4.3652e-12, 3.5216e-12,
497 2.678e-12, 2.1532e-12, 1.6284e-12, 1.2202e-12, 9.286e-13, 6.37e-13,
498 4.95e-13, 3.53e-13, 2.5004e-13, 1.8612e-13, 1.222e-13, 9.704e-14,
499 7.188e-14, 5.3338e-14, 4.1414e-14, 2.949e-14, 2.3722e-14, 1.7954e-14,
500 1.37794e-14, 1.11982e-14, 8.617e-15, 7.6036e-15, 6.5902e-15,
501 5.5768e-15, 4.5634e-15, 3.55e-15, 3.1008e-15, 2.6516e-15, 2.2024e-15,
502 1.7532e-15, 1.304e-15, 1.1354e-15, 9.668e-16, 7.982e-16, 6.296e-16,
503 4.61e-16, 3.9734e-16, 3.3368e-16, 2.7002e-16, 2.0636e-16, 1.427e-16,
504 1.22804e-16, 1.02908e-16, 8.3012e-17, 6.3116e-17, 4.322e-17,
505 3.6838e-17, 3.0456e-17, 2.4074e-17, 1.7692e-17, 1.131e-17,
506 9.6202e-18, 7.9304e-18, 6.2406e-18, 4.5508e-18, 2.861e-18,
507 2.40476e-18, 1.94852e-18, 1.49228e-18, 1.03604e-18, 5.798e-19,
508 4.8502e-19, 3.9024e-19, 2.9546e-19, 2.0068e-19, 1.059e-19,
509 8.7084e-20, 6.8268e-20, 4.9452e-20, 3.0636e-20, 1.182e-20,
510 9.64344e-21, 7.46688e-21, 5.29032e-21, 3.11376e-21, 9.372e-22,
511 7.5685e-22, 5.765e-22, 3.9615e-22, 2.158e-22, 3.545e-23,
512 2.86046e-23, 2.17592e-23, 1.49138e-23, 8.0684e-24, 1.223e-24,
513 9.92358e-25, 7.61716e-25, 5.31074e-25, 3.00432e-25, 6.979e-26
514 };
515
516 static const double f114[121] = {
517 1.2e-11, 1.2e-11, 1.2e-11, 1.2e-11, 1.199e-11, 1.199e-11,
518 1.199e-11, 1.199e-11, 1.198e-11, 1.198e-11, 1.198e-11, 1.197e-11,
519 1.196e-11, 1.191e-11, 1.185e-11, 1.167e-11, 1.149e-11, 1.12e-11,
520 1.09e-11, 1.053e-11, 1.015e-11, 9.731e-12, 9.311e-12, 8.865e-12,
521 8.419e-12, 7.949e-12, 7.4774e-12, 7.0058e-12, 6.54e-12, 6.08e-12,
522 5.62e-12, 5.1908e-12, 4.7616e-12, 4.3622e-12, 3.9926e-12, 3.623e-12,
523 3.3274e-12, 3.0318e-12, 2.7702e-12, 2.5426e-12, 2.315e-12, 2.1514e-12,
524 1.9878e-12, 1.8448e-12, 1.7224e-12, 1.6e-12, 1.51e-12, 1.42e-12,
525 1.3462e-12, 1.2886e-12, 1.231e-12, 1.1922e-12, 1.1534e-12, 1.1146e-12,
526 1.0758e-12, 1.037e-12, 1.0025e-12, 9.68e-13, 9.335e-13, 8.99e-13,
527 8.645e-13, 8.344e-13, 8.043e-13, 7.742e-13, 7.441e-13, 7.14e-13,
528 6.8718e-13, 6.6036e-13, 6.3354e-13, 6.0672e-13, 5.799e-13, 5.5612e-13,
529 5.3234e-13, 5.0856e-13, 4.8478e-13, 4.61e-13, 4.394e-13, 4.178e-13,
530 3.962e-13, 3.746e-13, 3.53e-13, 3.3288e-13, 3.1276e-13, 2.9264e-13,
531 2.7252e-13, 2.524e-13, 2.3368e-13, 2.1496e-13, 1.9624e-13, 1.7752e-13,
532 1.588e-13, 1.4221e-13, 1.2562e-13, 1.0903e-13, 9.244e-14, 7.585e-14,
533 6.4942e-14, 5.4034e-14, 4.3126e-14, 3.2218e-14, 2.131e-14, 1.76694e-14,
534 1.40288e-14, 1.03882e-14, 6.7476e-15, 3.107e-15, 2.52738e-15,
535 1.94776e-15, 1.36814e-15, 7.8852e-16, 2.089e-16, 1.69288e-16,
536 1.29676e-16, 9.0064e-17, 5.0452e-17, 1.084e-17, 8.85136e-18,
537 6.86272e-18, 4.87408e-18, 2.88544e-18, 8.968e-19
538 };
539
540 static const double f12[121] = {
541 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10,
542 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.45e-10, 5.429e-10, 5.291e-10,
543 5.155e-10, 5.022e-10, 4.893e-10, 4.772e-10, 4.655e-10, 4.497e-10,
544 4.249e-10, 4.015e-10, 3.632e-10, 3.261e-10, 2.858e-10, 2.408e-10,
545 2.03e-10, 1.685e-10, 1.4e-10, 1.163e-10, 9.65e-11, 8.02e-11, 6.705e-11,
546 5.624e-11, 4.764e-11, 4.249e-11, 3.792e-11, 3.315e-11, 2.819e-11,
547 2.4e-11, 1.999e-11, 1.64e-11, 1.352e-11, 1.14e-11, 9.714e-12,
548 8.28e-12, 7.176e-12, 6.251e-12, 5.446e-12, 4.72e-12, 4.081e-12,
549 3.528e-12, 3.08e-12, 2.699e-12, 2.359e-12, 2.111e-12, 1.901e-12,
550 1.709e-12, 1.534e-12, 1.376e-12, 1.233e-12, 1.103e-12, 9.869e-13,
551 8.808e-13, 7.859e-13, 7.008e-13, 6.241e-13, 5.553e-13, 4.935e-13,
552 4.383e-13, 3.889e-13, 3.447e-13, 3.054e-13, 2.702e-13, 2.389e-13,
553 2.11e-13, 1.862e-13, 1.643e-13, 1.448e-13, 1.274e-13, 1.121e-13,
554 9.844e-14, 8.638e-14, 7.572e-14, 6.62e-14, 5.782e-14, 5.045e-14,
555 4.394e-14, 3.817e-14, 3.311e-14, 2.87e-14, 2.48e-14, 2.142e-14,
556 1.851e-14, 1.599e-14, 1.383e-14, 1.196e-14, 1.036e-14, 9e-15,
557 7.828e-15, 6.829e-15, 5.992e-15, 5.254e-15, 4.606e-15, 4.037e-15,
558 3.583e-15, 3.19e-15, 2.841e-15, 2.542e-15, 2.291e-15, 2.07e-15,
559 1.875e-15, 1.71e-15, 1.57e-15, 1.442e-15, 1.333e-15, 1.232e-15,
560 1.147e-15, 1.071e-15, 1.001e-15, 9.396e-16
561 };
562
563 static const double f14[121] = {
564 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 9e-11,
565 9e-11, 9e-11, 9e-11, 9e-11, 9e-11, 8.91e-11, 8.73e-11, 8.46e-11,
566 8.19e-11, 7.92e-11, 7.74e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
567 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
568 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
569 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
570 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
571 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
572 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
573 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
574 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
575 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
576 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
577 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
578 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
579 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11,
580 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11, 7.65e-11
581 };
582
583 static const double f22[121] = {
584 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10, 1.4e-10,
585 1.4e-10, 1.4e-10, 1.4e-10, 1.372e-10, 1.317e-10, 1.235e-10, 1.153e-10,
586 1.075e-10, 1.002e-10, 9.332e-11, 8.738e-11, 8.194e-11, 7.7e-11,
587 7.165e-11, 6.753e-11, 6.341e-11, 5.971e-11, 5.6e-11, 5.229e-11,
588 4.859e-11, 4.488e-11, 4.118e-11, 3.83e-11, 3.568e-11, 3.308e-11,
589 3.047e-11, 2.82e-11, 2.594e-11, 2.409e-11, 2.237e-11, 2.065e-11,
590 1.894e-11, 1.771e-11, 1.647e-11, 1.532e-11, 1.416e-11, 1.332e-11,
591 1.246e-11, 1.161e-11, 1.087e-11, 1.017e-11, 9.471e-12, 8.853e-12,
592 8.235e-12, 7.741e-12, 7.247e-12, 6.836e-12, 6.506e-12, 6.176e-12,
593 5.913e-12, 5.65e-12, 5.419e-12, 5.221e-12, 5.024e-12, 4.859e-12,
594 4.694e-12, 4.546e-12, 4.414e-12, 4.282e-12, 4.15e-12, 4.019e-12,
595 3.903e-12, 3.805e-12, 3.706e-12, 3.607e-12, 3.508e-12, 3.41e-12,
596 3.31e-12, 3.212e-12, 3.129e-12, 3.047e-12, 2.964e-12, 2.882e-12,
597 2.8e-12, 2.734e-12, 2.668e-12, 2.602e-12, 2.537e-12, 2.471e-12,
598 2.421e-12, 2.372e-12, 2.322e-12, 2.273e-12, 2.224e-12, 2.182e-12,
599 2.141e-12, 2.1e-12, 2.059e-12, 2.018e-12, 1.977e-12, 1.935e-12,
600 1.894e-12, 1.853e-12, 1.812e-12, 1.77e-12, 1.73e-12, 1.688e-12,
601 1.647e-12, 1.606e-12, 1.565e-12, 1.524e-12, 1.483e-12, 1.441e-12,
602 1.4e-12, 1.359e-12, 1.317e-12, 1.276e-12, 1.235e-12, 1.194e-12,
603 1.153e-12, 1.112e-12, 1.071e-12, 1.029e-12, 9.883e-13
604 };
605
606 static const double h2co[121] = {
607 8.71857e-11, 8.71857e-11, 8.71857e-11, 8.71857e-11, 8.71857e-11,
608 8.71857e-11, 7.72315e-11, 6.85464e-11, 6.0758e-11, 5.32087e-11,
609 4.5719e-11, 3.79458e-11, 3.07607e-11, 2.46025e-11, 1.94038e-11,
610 1.40882e-11, 1.0623e-11, 8.35457e-12, 6.87427e-12, 7.09071e-12,
611 8.96183e-12, 1.09012e-11, 1.50545e-11, 1.92077e-11, 2.3361e-11,
612 2.7054e-11, 3.01936e-11, 3.33333e-11, 3.69281e-11, 4.08069e-11,
613 4.57318e-11, 5.1348e-11, 5.69642e-11, 6.33173e-11, 6.98984e-11,
614 7.63144e-11, 8.22774e-11, 8.82405e-11, 9.3746e-11, 9.92074e-11,
615 1.04669e-10, 1.10055e-10, 1.15293e-10, 1.20531e-10, 1.26293e-10,
616 1.32585e-10, 1.35966e-10, 1.36242e-10, 1.36519e-10, 1.61155e-10,
617 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
618 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
619 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
620 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
621 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
622 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
623 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
624 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
625 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
626 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
627 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
628 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
629 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
630 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10, 1.99157e-10,
631 1.99157e-10
632 };
633
634 static const double h2o[121] = {
635 0.01166, 0.008269, 0.005742, 0.003845, 0.00277, 0.001897, 0.001272,
636 0.000827, 0.000539, 0.0003469, 0.0001579, 3.134e-05, 1.341e-05,
637 6.764e-06, 4.498e-06, 3.703e-06, 3.724e-06, 3.899e-06, 4.002e-06,
638 4.122e-06, 4.277e-06, 4.438e-06, 4.558e-06, 4.673e-06, 4.763e-06,
639 4.809e-06, 4.856e-06, 4.936e-06, 5.021e-06, 5.114e-06, 5.222e-06,
640 5.331e-06, 5.414e-06, 5.488e-06, 5.563e-06, 5.633e-06, 5.704e-06,
641 5.767e-06, 5.819e-06, 5.872e-06, 5.914e-06, 5.949e-06, 5.984e-06,
642 6.015e-06, 6.044e-06, 6.073e-06, 6.104e-06, 6.136e-06, 6.167e-06,
643 6.189e-06, 6.208e-06, 6.226e-06, 6.212e-06, 6.185e-06, 6.158e-06,
644 6.114e-06, 6.066e-06, 6.018e-06, 5.877e-06, 5.728e-06, 5.582e-06,
645 5.437e-06, 5.296e-06, 5.156e-06, 5.02e-06, 4.886e-06, 4.754e-06,
646 4.625e-06, 4.498e-06, 4.374e-06, 4.242e-06, 4.096e-06, 3.955e-06,
647 3.817e-06, 3.683e-06, 3.491e-06, 3.204e-06, 2.94e-06, 2.696e-06,
648 2.47e-06, 2.252e-06, 2.019e-06, 1.808e-06, 1.618e-06, 1.445e-06,
649 1.285e-06, 1.105e-06, 9.489e-07, 8.121e-07, 6.938e-07, 5.924e-07,
650 5.04e-07, 4.288e-07, 3.648e-07, 3.103e-07, 2.642e-07, 2.252e-07,
651 1.921e-07, 1.643e-07, 1.408e-07, 1.211e-07, 1.048e-07, 9.063e-08,
652 7.835e-08, 6.774e-08, 5.936e-08, 5.221e-08, 4.592e-08, 4.061e-08,
653 3.62e-08, 3.236e-08, 2.902e-08, 2.62e-08, 2.383e-08, 2.171e-08,
654 1.989e-08, 1.823e-08, 1.684e-08, 1.562e-08, 1.449e-08, 1.351e-08
655 };
656
657 static const double h2o2[121] = {
658 1.779e-10, 7.938e-10, 8.953e-10, 8.032e-10, 6.564e-10, 5.159e-10,
659 4.003e-10, 3.026e-10, 2.222e-10, 1.58e-10, 1.044e-10, 6.605e-11,
660 3.413e-11, 1.453e-11, 1.062e-11, 1.009e-11, 9.597e-12, 1.175e-11,
661 1.572e-11, 2.091e-11, 2.746e-11, 3.603e-11, 4.791e-11, 6.387e-11,
662 8.239e-11, 1.007e-10, 1.23e-10, 1.363e-10, 1.489e-10, 1.585e-10,
663 1.608e-10, 1.632e-10, 1.576e-10, 1.502e-10, 1.423e-10, 1.302e-10,
664 1.192e-10, 1.085e-10, 9.795e-11, 8.854e-11, 8.057e-11, 7.36e-11,
665 6.736e-11, 6.362e-11, 6.087e-11, 5.825e-11, 5.623e-11, 5.443e-11,
666 5.27e-11, 5.098e-11, 4.931e-11, 4.769e-11, 4.611e-11, 4.458e-11,
667 4.308e-11, 4.102e-11, 3.887e-11, 3.682e-11, 3.521e-11, 3.369e-11,
668 3.224e-11, 3.082e-11, 2.946e-11, 2.814e-11, 2.687e-11, 2.566e-11,
669 2.449e-11, 2.336e-11, 2.227e-11, 2.123e-11, 2.023e-11, 1.927e-11,
670 1.835e-11, 1.746e-11, 1.661e-11, 1.58e-11, 1.502e-11, 1.428e-11,
671 1.357e-11, 1.289e-11, 1.224e-11, 1.161e-11, 1.102e-11, 1.045e-11,
672 9.895e-12, 9.369e-12, 8.866e-12, 8.386e-12, 7.922e-12, 7.479e-12,
673 7.06e-12, 6.656e-12, 6.274e-12, 5.914e-12, 5.575e-12, 5.257e-12,
674 4.959e-12, 4.679e-12, 4.42e-12, 4.178e-12, 3.954e-12, 3.75e-12,
675 3.557e-12, 3.372e-12, 3.198e-12, 3.047e-12, 2.908e-12, 2.775e-12,
676 2.653e-12, 2.544e-12, 2.442e-12, 2.346e-12, 2.26e-12, 2.183e-12,
677 2.11e-12, 2.044e-12, 1.98e-12, 1.924e-12, 1.871e-12, 1.821e-12,
678 1.775e-12
679 };
680
681 static const double hcl[121] = {
682 3.70385e-11, 3.70385e-11, 3.70385e-11, 3.70385e-11, 3.70385e-11,
683 3.70385e-11, 2.21247e-11, 1.88117e-11, 2.36957e-11, 3.72192e-11,
684 5.79399e-11, 8.04158e-11, 1.01779e-10, 1.2301e-10, 1.53924e-10,
685 1.93737e-10, 2.5561e-10, 3.84228e-10, 6.18248e-10, 6.31222e-10,
686 7.84907e-10, 9.36932e-10, 1.03508e-09, 1.13323e-09, 1.23138e-09,
687 1.31985e-09, 1.39669e-09, 1.47352e-09, 1.56375e-09, 1.66234e-09,
688 1.78086e-09, 1.91256e-09, 2.04425e-09, 2.16629e-09, 2.28535e-09,
689 2.39439e-09, 2.47597e-09, 2.55755e-09, 2.60873e-09, 2.65696e-09,
690 2.70519e-09, 2.75658e-09, 2.81422e-09, 2.87187e-09, 2.94013e-09,
691 3.01911e-09, 3.09497e-09, 3.16749e-09, 3.24001e-09, 3.30525e-09,
692 3.3665e-09, 3.42424e-09, 3.4619e-09, 3.49956e-09, 3.52273e-09,
693 3.54214e-09, 3.56154e-09, 3.57918e-09, 3.59049e-09, 3.6018e-09,
694 3.6132e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
695 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
696 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
697 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
698 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
699 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
700 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
701 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
702 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
703 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
704 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
705 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09, 3.62476e-09,
706 3.62476e-09
707 };
708
709 static const double hcn[121] = {
710 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10,
711 5.5e-10, 5.5e-10, 5.5e-10, 5.5e-10, 5.498e-10, 5.495e-10, 5.493e-10,
712 5.49e-10, 5.488e-10, 4.717e-10, 3.946e-10, 3.174e-10, 2.4e-10,
713 1.626e-10, 1.619e-10, 1.612e-10, 1.602e-10, 1.593e-10, 1.582e-10,
714 1.572e-10, 1.56e-10, 1.549e-10, 1.539e-10, 1.53e-10, 1.519e-10,
715 1.506e-10, 1.487e-10, 1.467e-10, 1.449e-10, 1.43e-10, 1.413e-10,
716 1.397e-10, 1.382e-10, 1.368e-10, 1.354e-10, 1.337e-10, 1.315e-10,
717 1.292e-10, 1.267e-10, 1.241e-10, 1.215e-10, 1.19e-10, 1.165e-10,
718 1.141e-10, 1.118e-10, 1.096e-10, 1.072e-10, 1.047e-10, 1.021e-10,
719 9.968e-11, 9.739e-11, 9.539e-11, 9.339e-11, 9.135e-11, 8.898e-11,
720 8.664e-11, 8.439e-11, 8.249e-11, 8.075e-11, 7.904e-11, 7.735e-11,
721 7.565e-11, 7.399e-11, 7.245e-11, 7.109e-11, 6.982e-11, 6.863e-11,
722 6.755e-11, 6.657e-11, 6.587e-11, 6.527e-11, 6.476e-11, 6.428e-11,
723 6.382e-11, 6.343e-11, 6.307e-11, 6.272e-11, 6.238e-11, 6.205e-11,
724 6.17e-11, 6.137e-11, 6.102e-11, 6.072e-11, 6.046e-11, 6.03e-11,
725 6.018e-11, 6.01e-11, 6.001e-11, 5.992e-11, 5.984e-11, 5.975e-11,
726 5.967e-11, 5.958e-11, 5.95e-11, 5.941e-11, 5.933e-11, 5.925e-11,
727 5.916e-11, 5.908e-11, 5.899e-11, 5.891e-11, 5.883e-11, 5.874e-11,
728 5.866e-11, 5.858e-11, 5.85e-11, 5.841e-11, 5.833e-11, 5.825e-11,
729 5.817e-11, 5.808e-11, 5.8e-11, 5.792e-11, 5.784e-11
730 };
731
732 static const double hf[121] = {
733 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11,
734 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11, 2.64279e-11,
735 2.64279e-11, 2.64279e-11, 2.64279e-11, 3.86691e-11, 5.22002e-11,
736 6.92471e-11, 9.13979e-11, 1.37918e-10, 2.24918e-10, 2.29824e-10,
737 2.94241e-10, 3.58363e-10, 4.12881e-10, 4.67399e-10, 5.21917e-10,
738 5.74229e-10, 6.23889e-10, 6.73549e-10, 7.24119e-10, 7.75256e-10,
739 8.319e-10, 8.92185e-10, 9.52469e-10, 1.01325e-09, 1.07419e-09,
740 1.13565e-09, 1.19856e-09, 1.26146e-09, 1.31439e-09, 1.36635e-09,
741 1.41831e-09, 1.46549e-09, 1.50321e-09, 1.54093e-09, 1.57986e-09,
742 1.62e-09, 1.66286e-09, 1.70863e-09, 1.75439e-09, 1.79827e-09,
743 1.84111e-09, 1.88125e-09, 1.90603e-09, 1.93081e-09, 1.9413e-09,
744 1.94807e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
745 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
746 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
747 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
748 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
749 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
750 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
751 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
752 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
753 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
754 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
755 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
756 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09, 1.95485e-09,
757 1.95485e-09
758 };
759
760 static const double hno3[121] = {
761 1.809e-10, 7.234e-10, 5.899e-10, 4.342e-10, 3.277e-10, 2.661e-10,
762 2.35e-10, 2.267e-10, 2.389e-10, 2.651e-10, 3.255e-10, 4.099e-10,
763 5.42e-10, 6.978e-10, 8.807e-10, 1.112e-09, 1.405e-09, 2.04e-09,
764 3.111e-09, 4.5e-09, 5.762e-09, 7.37e-09, 7.852e-09, 8.109e-09,
765 8.067e-09, 7.554e-09, 7.076e-09, 6.268e-09, 5.524e-09, 4.749e-09,
766 3.909e-09, 3.223e-09, 2.517e-09, 1.942e-09, 1.493e-09, 1.122e-09,
767 8.449e-10, 6.361e-10, 4.787e-10, 3.611e-10, 2.804e-10, 2.215e-10,
768 1.758e-10, 1.441e-10, 1.197e-10, 9.953e-11, 8.505e-11, 7.334e-11,
769 6.325e-11, 5.625e-11, 5.058e-11, 4.548e-11, 4.122e-11, 3.748e-11,
770 3.402e-11, 3.088e-11, 2.8e-11, 2.536e-11, 2.293e-11, 2.072e-11,
771 1.871e-11, 1.687e-11, 1.52e-11, 1.368e-11, 1.23e-11, 1.105e-11,
772 9.922e-12, 8.898e-12, 7.972e-12, 7.139e-12, 6.385e-12, 5.708e-12,
773 5.099e-12, 4.549e-12, 4.056e-12, 3.613e-12, 3.216e-12, 2.862e-12,
774 2.544e-12, 2.259e-12, 2.004e-12, 1.776e-12, 1.572e-12, 1.391e-12,
775 1.227e-12, 1.082e-12, 9.528e-13, 8.379e-13, 7.349e-13, 6.436e-13,
776 5.634e-13, 4.917e-13, 4.291e-13, 3.745e-13, 3.267e-13, 2.854e-13,
777 2.494e-13, 2.181e-13, 1.913e-13, 1.68e-13, 1.479e-13, 1.31e-13,
778 1.159e-13, 1.025e-13, 9.067e-14, 8.113e-14, 7.281e-14, 6.535e-14,
779 5.892e-14, 5.348e-14, 4.867e-14, 4.439e-14, 4.073e-14, 3.76e-14,
780 3.476e-14, 3.229e-14, 3e-14, 2.807e-14, 2.635e-14, 2.473e-14,
781 2.332e-14
782 };
783
784 static const double hno4[121] = {
785 6.118e-12, 3.594e-12, 2.807e-12, 3.04e-12, 4.458e-12, 7.986e-12,
786 1.509e-11, 2.661e-11, 3.738e-11, 4.652e-11, 4.429e-11, 3.992e-11,
787 3.347e-11, 3.005e-11, 3.173e-11, 4.055e-11, 5.812e-11, 8.489e-11,
788 1.19e-10, 1.482e-10, 1.766e-10, 2.103e-10, 2.35e-10, 2.598e-10,
789 2.801e-10, 2.899e-10, 3e-10, 2.817e-10, 2.617e-10, 2.332e-10,
790 1.933e-10, 1.605e-10, 1.232e-10, 9.285e-11, 6.941e-11, 4.951e-11,
791 3.539e-11, 2.402e-11, 1.522e-11, 9.676e-12, 6.056e-12, 3.745e-12,
792 2.34e-12, 1.463e-12, 9.186e-13, 5.769e-13, 3.322e-13, 1.853e-13,
793 1.035e-13, 7.173e-14, 5.382e-14, 4.036e-14, 3.401e-14, 2.997e-14,
794 2.635e-14, 2.316e-14, 2.034e-14, 1.783e-14, 1.56e-14, 1.363e-14,
795 1.19e-14, 1.037e-14, 9.032e-15, 7.846e-15, 6.813e-15, 5.912e-15,
796 5.121e-15, 4.431e-15, 3.829e-15, 3.306e-15, 2.851e-15, 2.456e-15,
797 2.114e-15, 1.816e-15, 1.559e-15, 1.337e-15, 1.146e-15, 9.811e-16,
798 8.389e-16, 7.162e-16, 6.109e-16, 5.203e-16, 4.425e-16, 3.76e-16,
799 3.184e-16, 2.692e-16, 2.274e-16, 1.917e-16, 1.61e-16, 1.35e-16,
800 1.131e-16, 9.437e-17, 7.874e-17, 6.57e-17, 5.481e-17, 4.579e-17,
801 3.828e-17, 3.204e-17, 2.691e-17, 2.264e-17, 1.912e-17, 1.626e-17,
802 1.382e-17, 1.174e-17, 9.972e-18, 8.603e-18, 7.45e-18, 6.453e-18,
803 5.623e-18, 4.944e-18, 4.361e-18, 3.859e-18, 3.443e-18, 3.096e-18,
804 2.788e-18, 2.528e-18, 2.293e-18, 2.099e-18, 1.929e-18, 1.773e-18,
805 1.64e-18
806 };
807
808 static const double hocl[121] = {
809 1.056e-12, 1.194e-12, 1.35e-12, 1.531e-12, 1.737e-12, 1.982e-12,
810 2.263e-12, 2.599e-12, 2.991e-12, 3.459e-12, 4.012e-12, 4.662e-12,
811 5.438e-12, 6.35e-12, 7.425e-12, 8.686e-12, 1.016e-11, 1.188e-11,
812 1.389e-11, 1.659e-11, 2.087e-11, 2.621e-11, 3.265e-11, 4.064e-11,
813 4.859e-11, 5.441e-11, 6.09e-11, 6.373e-11, 6.611e-11, 6.94e-11,
814 7.44e-11, 7.97e-11, 8.775e-11, 9.722e-11, 1.064e-10, 1.089e-10,
815 1.114e-10, 1.106e-10, 1.053e-10, 1.004e-10, 9.006e-11, 7.778e-11,
816 6.739e-11, 5.636e-11, 4.655e-11, 3.845e-11, 3.042e-11, 2.368e-11,
817 1.845e-11, 1.442e-11, 1.127e-11, 8.814e-12, 6.544e-12, 4.763e-12,
818 3.449e-12, 2.612e-12, 1.999e-12, 1.526e-12, 1.16e-12, 8.793e-13,
819 6.655e-13, 5.017e-13, 3.778e-13, 2.829e-13, 2.117e-13, 1.582e-13,
820 1.178e-13, 8.755e-14, 6.486e-14, 4.799e-14, 3.54e-14, 2.606e-14,
821 1.916e-14, 1.403e-14, 1.026e-14, 7.48e-15, 5.446e-15, 3.961e-15,
822 2.872e-15, 2.076e-15, 1.498e-15, 1.077e-15, 7.726e-16, 5.528e-16,
823 3.929e-16, 2.785e-16, 1.969e-16, 1.386e-16, 9.69e-17, 6.747e-17,
824 4.692e-17, 3.236e-17, 2.232e-17, 1.539e-17, 1.061e-17, 7.332e-18,
825 5.076e-18, 3.522e-18, 2.461e-18, 1.726e-18, 1.22e-18, 8.75e-19,
826 6.264e-19, 4.482e-19, 3.207e-19, 2.368e-19, 1.762e-19, 1.312e-19,
827 9.891e-20, 7.595e-20, 5.87e-20, 4.567e-20, 3.612e-20, 2.904e-20,
828 2.343e-20, 1.917e-20, 1.568e-20, 1.308e-20, 1.1e-20, 9.25e-21,
829 7.881e-21
830 };
831
832 static const double n2o[121] = {
833 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07, 3.17e-07,
834 3.17e-07, 3.17e-07, 3.17e-07, 3.124e-07, 3.077e-07, 3.03e-07,
835 2.984e-07, 2.938e-07, 2.892e-07, 2.847e-07, 2.779e-07, 2.705e-07,
836 2.631e-07, 2.557e-07, 2.484e-07, 2.345e-07, 2.201e-07, 2.01e-07,
837 1.754e-07, 1.532e-07, 1.329e-07, 1.154e-07, 1.003e-07, 8.735e-08,
838 7.617e-08, 6.512e-08, 5.547e-08, 4.709e-08, 3.915e-08, 3.259e-08,
839 2.738e-08, 2.327e-08, 1.98e-08, 1.711e-08, 1.493e-08, 1.306e-08,
840 1.165e-08, 1.049e-08, 9.439e-09, 8.375e-09, 7.391e-09, 6.525e-09,
841 5.759e-09, 5.083e-09, 4.485e-09, 3.953e-09, 3.601e-09, 3.27e-09,
842 2.975e-09, 2.757e-09, 2.556e-09, 2.37e-09, 2.195e-09, 2.032e-09,
843 1.912e-09, 1.79e-09, 1.679e-09, 1.572e-09, 1.482e-09, 1.402e-09,
844 1.326e-09, 1.254e-09, 1.187e-09, 1.127e-09, 1.071e-09, 1.02e-09,
845 9.673e-10, 9.193e-10, 8.752e-10, 8.379e-10, 8.017e-10, 7.66e-10,
846 7.319e-10, 7.004e-10, 6.721e-10, 6.459e-10, 6.199e-10, 5.942e-10,
847 5.703e-10, 5.488e-10, 5.283e-10, 5.082e-10, 4.877e-10, 4.696e-10,
848 4.52e-10, 4.355e-10, 4.198e-10, 4.039e-10, 3.888e-10, 3.754e-10,
849 3.624e-10, 3.499e-10, 3.381e-10, 3.267e-10, 3.163e-10, 3.058e-10,
850 2.959e-10, 2.864e-10, 2.77e-10, 2.686e-10, 2.604e-10, 2.534e-10,
851 2.462e-10, 2.386e-10, 2.318e-10, 2.247e-10, 2.189e-10, 2.133e-10,
852 2.071e-10, 2.014e-10, 1.955e-10, 1.908e-10, 1.86e-10, 1.817e-10
853 };
854
855 static const double n2o5[121] = {
856 1.231e-11, 3.035e-12, 1.702e-12, 9.877e-13, 8.081e-13, 9.039e-13,
857 1.169e-12, 1.474e-12, 1.651e-12, 1.795e-12, 1.998e-12, 2.543e-12,
858 4.398e-12, 7.698e-12, 1.28e-11, 2.131e-11, 3.548e-11, 5.894e-11,
859 7.645e-11, 1.089e-10, 1.391e-10, 1.886e-10, 2.386e-10, 2.986e-10,
860 3.487e-10, 3.994e-10, 4.5e-10, 4.6e-10, 4.591e-10, 4.1e-10, 3.488e-10,
861 2.846e-10, 2.287e-10, 1.696e-10, 1.011e-10, 6.428e-11, 4.324e-11,
862 2.225e-11, 6.214e-12, 3.608e-12, 8.793e-13, 4.491e-13, 1.04e-13,
863 6.1e-14, 3.436e-14, 6.671e-15, 1.171e-15, 5.848e-16, 1.212e-16,
864 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
865 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
866 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
867 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
868 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
869 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
870 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16, 1e-16,
871 1e-16, 1e-16
872 };
873
874 static const double nh3[121] = {
875 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10,
876 1e-10, 1e-10, 1e-10, 1e-10, 9.444e-11, 8.488e-11, 7.241e-11, 5.785e-11,
877 4.178e-11, 3.018e-11, 2.18e-11, 1.574e-11, 1.137e-11, 8.211e-12,
878 5.973e-12, 4.327e-12, 3.118e-12, 2.234e-12, 1.573e-12, 1.04e-12,
879 6.762e-13, 4.202e-13, 2.406e-13, 1.335e-13, 6.938e-14, 3.105e-14,
880 1.609e-14, 1.033e-14, 6.432e-15, 4.031e-15, 2.555e-15, 1.656e-15,
881 1.115e-15, 7.904e-16, 5.63e-16, 4.048e-16, 2.876e-16, 2.004e-16,
882 1.356e-16, 9.237e-17, 6.235e-17, 4.223e-17, 3.009e-17, 2.328e-17,
883 2.002e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
884 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
885 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
886 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
887 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
888 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
889 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
890 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
891 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
892 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
893 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17, 1.914e-17,
894 1.914e-17
895 };
896
897 static const double no[121] = {
898 2.586e-10, 4.143e-11, 1.566e-11, 9.591e-12, 8.088e-12, 8.462e-12,
899 1.013e-11, 1.328e-11, 1.855e-11, 2.678e-11, 3.926e-11, 5.464e-11,
900 7.012e-11, 8.912e-11, 1.127e-10, 1.347e-10, 1.498e-10, 1.544e-10,
901 1.602e-10, 1.824e-10, 2.078e-10, 2.366e-10, 2.691e-10, 5.141e-10,
902 8.259e-10, 1.254e-09, 1.849e-09, 2.473e-09, 3.294e-09, 4.16e-09,
903 5.095e-09, 6.11e-09, 6.93e-09, 7.888e-09, 8.903e-09, 9.713e-09,
904 1.052e-08, 1.115e-08, 1.173e-08, 1.21e-08, 1.228e-08, 1.239e-08,
905 1.231e-08, 1.213e-08, 1.192e-08, 1.138e-08, 1.085e-08, 1.008e-08,
906 9.224e-09, 8.389e-09, 7.262e-09, 6.278e-09, 5.335e-09, 4.388e-09,
907 3.589e-09, 2.761e-09, 2.129e-09, 1.633e-09, 1.243e-09, 9.681e-10,
908 8.355e-10, 7.665e-10, 7.442e-10, 8.584e-10, 9.732e-10, 1.063e-09,
909 1.163e-09, 1.286e-09, 1.472e-09, 1.707e-09, 2.032e-09, 2.474e-09,
910 2.977e-09, 3.506e-09, 4.102e-09, 5.013e-09, 6.493e-09, 8.414e-09,
911 1.077e-08, 1.367e-08, 1.777e-08, 2.625e-08, 3.926e-08, 5.545e-08,
912 7.195e-08, 9.464e-08, 1.404e-07, 2.183e-07, 3.329e-07, 4.535e-07,
913 6.158e-07, 8.187e-07, 1.075e-06, 1.422e-06, 1.979e-06, 2.71e-06,
914 3.58e-06, 4.573e-06, 5.951e-06, 7.999e-06, 1.072e-05, 1.372e-05,
915 1.697e-05, 2.112e-05, 2.643e-05, 3.288e-05, 3.994e-05, 4.794e-05,
916 5.606e-05, 6.383e-05, 7.286e-05, 8.156e-05, 8.883e-05, 9.469e-05,
917 9.848e-05, 0.0001023, 0.0001066, 0.0001115, 0.0001145, 0.0001142,
918 0.0001133
919 };
920
921 static const double no2[121] = {
922 3.036e-09, 2.945e-10, 9.982e-11, 5.069e-11, 3.485e-11, 2.982e-11,
923 2.947e-11, 3.164e-11, 3.714e-11, 4.586e-11, 6.164e-11, 8.041e-11,
924 9.982e-11, 1.283e-10, 1.73e-10, 2.56e-10, 3.909e-10, 5.959e-10,
925 9.081e-10, 1.384e-09, 1.788e-09, 2.189e-09, 2.686e-09, 3.091e-09,
926 3.49e-09, 3.796e-09, 4.2e-09, 5.103e-09, 6.005e-09, 6.3e-09, 6.706e-09,
927 7.07e-09, 7.434e-09, 7.663e-09, 7.788e-09, 7.8e-09, 7.597e-09,
928 7.482e-09, 7.227e-09, 6.403e-09, 5.585e-09, 4.606e-09, 3.703e-09,
929 2.984e-09, 2.183e-09, 1.48e-09, 8.441e-10, 5.994e-10, 3.799e-10,
930 2.751e-10, 1.927e-10, 1.507e-10, 1.102e-10, 6.971e-11, 5.839e-11,
931 3.904e-11, 3.087e-11, 2.176e-11, 1.464e-11, 1.209e-11, 8.497e-12,
932 6.477e-12, 4.371e-12, 2.914e-12, 2.424e-12, 1.753e-12, 1.35e-12,
933 9.417e-13, 6.622e-13, 5.148e-13, 3.841e-13, 3.446e-13, 3.01e-13,
934 2.551e-13, 2.151e-13, 1.829e-13, 1.64e-13, 1.475e-13, 1.352e-13,
935 1.155e-13, 9.963e-14, 9.771e-14, 9.577e-14, 9.384e-14, 9.186e-14,
936 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
937 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
938 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14,
939 9e-14, 9e-14, 9e-14, 9e-14, 9e-14, 9e-14
940 };
941
942 static const double o3[121] = {
943 2.218e-08, 3.394e-08, 3.869e-08, 4.219e-08, 4.501e-08, 4.778e-08,
944 5.067e-08, 5.402e-08, 5.872e-08, 6.521e-08, 7.709e-08, 9.461e-08,
945 1.269e-07, 1.853e-07, 2.723e-07, 3.964e-07, 5.773e-07, 8.2e-07,
946 1.155e-06, 1.59e-06, 2.076e-06, 2.706e-06, 3.249e-06, 3.848e-06,
947 4.459e-06, 4.986e-06, 5.573e-06, 5.958e-06, 6.328e-06, 6.661e-06,
948 6.9e-06, 7.146e-06, 7.276e-06, 7.374e-06, 7.447e-06, 7.383e-06,
949 7.321e-06, 7.161e-06, 6.879e-06, 6.611e-06, 6.216e-06, 5.765e-06,
950 5.355e-06, 4.905e-06, 4.471e-06, 4.075e-06, 3.728e-06, 3.413e-06,
951 3.125e-06, 2.856e-06, 2.607e-06, 2.379e-06, 2.17e-06, 1.978e-06,
952 1.8e-06, 1.646e-06, 1.506e-06, 1.376e-06, 1.233e-06, 1.102e-06,
953 9.839e-07, 8.771e-07, 7.814e-07, 6.947e-07, 6.102e-07, 5.228e-07,
954 4.509e-07, 3.922e-07, 3.501e-07, 3.183e-07, 2.909e-07, 2.686e-07,
955 2.476e-07, 2.284e-07, 2.109e-07, 2.003e-07, 2.013e-07, 2.022e-07,
956 2.032e-07, 2.042e-07, 2.097e-07, 2.361e-07, 2.656e-07, 2.989e-07,
957 3.37e-07, 3.826e-07, 4.489e-07, 5.26e-07, 6.189e-07, 7.312e-07,
958 8.496e-07, 8.444e-07, 8.392e-07, 8.339e-07, 8.286e-07, 8.234e-07,
959 8.181e-07, 8.129e-07, 8.077e-07, 8.026e-07, 6.918e-07, 5.176e-07,
960 3.865e-07, 2.885e-07, 2.156e-07, 1.619e-07, 1.219e-07, 9.161e-08,
961 6.972e-08, 5.399e-08, 3.498e-08, 2.111e-08, 1.322e-08, 8.482e-09,
962 5.527e-09, 3.423e-09, 2.071e-09, 1.314e-09, 8.529e-10, 5.503e-10,
963 3.665e-10
964 };
965
966 static const double ocs[121] = {
967 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 6e-10, 5.997e-10,
968 5.989e-10, 5.881e-10, 5.765e-10, 5.433e-10, 5.074e-10, 4.567e-10,
969 4.067e-10, 3.601e-10, 3.093e-10, 2.619e-10, 2.232e-10, 1.805e-10,
970 1.46e-10, 1.187e-10, 8.03e-11, 5.435e-11, 3.686e-11, 2.217e-11,
971 1.341e-11, 8.756e-12, 4.511e-12, 2.37e-12, 1.264e-12, 8.28e-13,
972 5.263e-13, 3.209e-13, 1.717e-13, 9.068e-14, 4.709e-14, 2.389e-14,
973 1.236e-14, 1.127e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
974 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
975 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
976 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
977 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
978 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
979 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
980 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
981 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
982 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
983 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
984 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
985 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14, 1.091e-14,
986 1.091e-14, 1.091e-14, 1.091e-14
987 };
988
989 static const double sf6[121] = {
990 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12, 4.103e-12,
991 4.103e-12, 4.103e-12, 4.103e-12, 4.087e-12, 4.064e-12, 4.023e-12,
992 3.988e-12, 3.941e-12, 3.884e-12, 3.755e-12, 3.622e-12, 3.484e-12,
993 3.32e-12, 3.144e-12, 2.978e-12, 2.811e-12, 2.653e-12, 2.489e-12,
994 2.332e-12, 2.199e-12, 2.089e-12, 2.013e-12, 1.953e-12, 1.898e-12,
995 1.859e-12, 1.826e-12, 1.798e-12, 1.776e-12, 1.757e-12, 1.742e-12,
996 1.728e-12, 1.717e-12, 1.707e-12, 1.698e-12, 1.691e-12, 1.685e-12,
997 1.679e-12, 1.675e-12, 1.671e-12, 1.668e-12, 1.665e-12, 1.663e-12,
998 1.661e-12, 1.659e-12, 1.658e-12, 1.657e-12, 1.656e-12, 1.655e-12,
999 1.654e-12, 1.653e-12, 1.653e-12, 1.652e-12, 1.652e-12, 1.652e-12,
1000 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12, 1.651e-12,
1001 1.651e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1002 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1003 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1004 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1005 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1006 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1007 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12,
1008 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12, 1.65e-12
1009 };
1010
1011 static const double so2[121] = {
1012 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10, 1e-10,
1013 1e-10, 1e-10, 9.867e-11, 9.537e-11, 9e-11, 8.404e-11, 7.799e-11,
1014 7.205e-11, 6.616e-11, 6.036e-11, 5.475e-11, 5.007e-11, 4.638e-11,
1015 4.346e-11, 4.055e-11, 3.763e-11, 3.471e-11, 3.186e-11, 2.905e-11,
1016 2.631e-11, 2.358e-11, 2.415e-11, 2.949e-11, 3.952e-11, 5.155e-11,
1017 6.76e-11, 8.741e-11, 1.099e-10, 1.278e-10, 1.414e-10, 1.512e-10,
1018 1.607e-10, 1.699e-10, 1.774e-10, 1.832e-10, 1.871e-10, 1.907e-10,
1019 1.943e-10, 1.974e-10, 1.993e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1020 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1021 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1022 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1023 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1024 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1025 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10,
1026 2e-10, 2e-10, 2e-10, 2e-10, 2e-10, 2e-10
1027 };
1028
1029 const double *q[NG] = { NULL };
1030
1031 /* Identify variable... */
1032 for (int ig = 0; ig < ctl->ng; ig++) {
1033 q[ig] = NULL;
1034 if (strcasecmp(ctl->emitter[ig], "C2H2") == 0)
1035 q[ig] = c2h2;
1036 if (strcasecmp(ctl->emitter[ig], "C2H6") == 0)
1037 q[ig] = c2h6;
1038 if (strcasecmp(ctl->emitter[ig], "CCl4") == 0)
1039 q[ig] = ccl4;
1040 if (strcasecmp(ctl->emitter[ig], "CH3OH") == 0)
1041 q[ig] = ch3oh;
1042 if (strcasecmp(ctl->emitter[ig], "CH4") == 0)
1043 q[ig] = ch4;
1044 if (strcasecmp(ctl->emitter[ig], "ClO") == 0)
1045 q[ig] = clo;
1046 if (strcasecmp(ctl->emitter[ig], "ClONO2") == 0)
1047 q[ig] = clono2;
1048 if (strcasecmp(ctl->emitter[ig], "CO") == 0)
1049 q[ig] = co;
1050 if (strcasecmp(ctl->emitter[ig], "COF2") == 0)
1051 q[ig] = cof2;
1052 if (strcasecmp(ctl->emitter[ig], "F11") == 0)
1053 q[ig] = f11;
1054 if (strcasecmp(ctl->emitter[ig], "F113") == 0)
1055 q[ig] = f113;
1056 if (strcasecmp(ctl->emitter[ig], "F114") == 0)
1057 q[ig] = f114;
1058 if (strcasecmp(ctl->emitter[ig], "F12") == 0)
1059 q[ig] = f12;
1060 if (strcasecmp(ctl->emitter[ig], "F14") == 0)
1061 q[ig] = f14;
1062 if (strcasecmp(ctl->emitter[ig], "F22") == 0)
1063 q[ig] = f22;
1064 if (strcasecmp(ctl->emitter[ig], "H2CO") == 0)
1065 q[ig] = h2co;
1066 if (strcasecmp(ctl->emitter[ig], "H2O") == 0)
1067 q[ig] = h2o;
1068 if (strcasecmp(ctl->emitter[ig], "H2O2") == 0)
1069 q[ig] = h2o2;
1070 if (strcasecmp(ctl->emitter[ig], "HCl") == 0)
1071 q[ig] = hcl;
1072 if (strcasecmp(ctl->emitter[ig], "HCN") == 0)
1073 q[ig] = hcn;
1074 if (strcasecmp(ctl->emitter[ig], "HF") == 0)
1075 q[ig] = hf;
1076 if (strcasecmp(ctl->emitter[ig], "HNO3") == 0)
1077 q[ig] = hno3;
1078 if (strcasecmp(ctl->emitter[ig], "HNO4") == 0)
1079 q[ig] = hno4;
1080 if (strcasecmp(ctl->emitter[ig], "HOCl") == 0)
1081 q[ig] = hocl;
1082 if (strcasecmp(ctl->emitter[ig], "N2O") == 0)
1083 q[ig] = n2o;
1084 if (strcasecmp(ctl->emitter[ig], "N2O5") == 0)
1085 q[ig] = n2o5;
1086 if (strcasecmp(ctl->emitter[ig], "NH3") == 0)
1087 q[ig] = nh3;
1088 if (strcasecmp(ctl->emitter[ig], "NO") == 0)
1089 q[ig] = no;
1090 if (strcasecmp(ctl->emitter[ig], "NO2") == 0)
1091 q[ig] = no2;
1092 if (strcasecmp(ctl->emitter[ig], "O3") == 0)
1093 q[ig] = o3;
1094 if (strcasecmp(ctl->emitter[ig], "OCS") == 0)
1095 q[ig] = ocs;
1096 if (strcasecmp(ctl->emitter[ig], "SF6") == 0)
1097 q[ig] = sf6;
1098 if (strcasecmp(ctl->emitter[ig], "SO2") == 0)
1099 q[ig] = so2;
1100 }
1101
1102 /* Loop over atmospheric data points... */
1103 for (int ip = 0; ip < atm->np; ip++) {
1104
1105 /* Get altitude index... */
1106 const int iz = locate_reg(z, 121, atm->z[ip]);
1107
1108 /* Interpolate pressure... */
1109 atm->p[ip] = LOGY(z[iz], pre[iz], z[iz + 1], pre[iz + 1], atm->z[ip]);
1110
1111 /* Interpolate temperature... */
1112 atm->t[ip] = LIN(z[iz], tem[iz], z[iz + 1], tem[iz + 1], atm->z[ip]);
1113
1114 /* Interpolate trace gases... */
1115 for (int ig = 0; ig < ctl->ng; ig++)
1116 if (q[ig] != NULL)
1117 atm->q[ig][ip] =
1118 LIN(z[iz], q[ig][iz], z[iz + 1], q[ig][iz + 1], atm->z[ip]);
1119 else
1120 atm->q[ig][ip] = 0;
1121
1122 /* Set CO2... */
1123 if (ctl->ig_co2 >= 0)
1124 atm->q[ctl->ig_co2][ip] = CO2_FIT(atm->time[ip]);
1125
1126 /* Set N2... */
1127 if (ctl->ig_n2 >= 0)
1128 atm->q[ctl->ig_n2][ip] = N2;
1129
1130 /* Set O2... */
1131 if (ctl->ig_o2 >= 0)
1132 atm->q[ctl->ig_o2][ip] = O2;
1133
1134 /* Set extinction to zero... */
1135 for (int iw = 0; iw < ctl->nw; iw++)
1136 atm->k[iw][ip] = 0;
1137
1138 /* Set cloud layer... */
1139 atm->clz = atm->cldz = 0;
1140 for (int icl = 0; icl < ctl->ncl; icl++)
1141 atm->clk[icl] = 0;
1142
1143 /* Set surface... */
1144 atm->sft = 0;
1145 for (int isf = 0; isf < ctl->nsf; isf++)
1146 atm->sfeps[isf] = 1;
1147 }
1148}
int locate_reg(const double *xx, const int n, const double x)
Locate index for interpolation on a regular (uniform) grid.
Definition: jurassic.c:4518
#define O2
Oxygen concentration.
Definition: jurassic.h:214
#define CO2_FIT(TIME)
Climatological CO2 volume mixing ratio as a quadratic function of time.
Definition: jurassic.h:485
#define LOGY(x0, y0, x1, y1, x)
Compute logarithmic interpolation in y.
Definition: jurassic.h:645
#define NG
Maximum number of emitters.
Definition: jurassic.h:298
#define N2
Nitrogen concentration.
Definition: jurassic.h:209
#define LIN(x0, y0, x1, y1, x)
Compute linear interpolation.
Definition: jurassic.h:624
double time[NP]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1404
int ig_co2
Emitter index of CO2.
Definition: jurassic.h:1460
int ig_o2
Emitter index of O2.
Definition: jurassic.h:1469
int ig_n2
Emitter index of N2.
Definition: jurassic.h:1466
char emitter[NG][LEN]
Name of each emitter.
Definition: jurassic.h:1457
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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 1152 of file jurassic.c.

1155 {
1156
1157 /* Number of days and fraction with respect to 2000-01-01T12:00Z... */
1158 const double D = sec / 86400 - 0.5;
1159
1160 /* Geocentric apparent ecliptic longitude [rad]... */
1161 const double g = DEG2RAD(357.529 + 0.98560028 * D);
1162 const double q = 280.459 + 0.98564736 * D;
1163 const double L = DEG2RAD(q + 1.915 * sin(g) + 0.020 * sin(2 * g));
1164
1165 /* Mean obliquity of the ecliptic [rad]... */
1166 const double e = DEG2RAD(23.439 - 0.00000036 * D);
1167
1168 /* Declination [rad]... */
1169 const double sindec = sin(e) * sin(L);
1170
1171 /* Right ascension [rad]... */
1172 const double ra = atan2(cos(e) * sin(L), cos(L));
1173
1174 /* Greenwich Mean Sidereal Time [h]... */
1175 const double GMST = 18.697374558 + 24.06570982441908 * D;
1176
1177 /* Local Sidereal Time [h]... */
1178 const double LST = GMST + lon / 15;
1179
1180 /* Hour angle [rad]... */
1181 const double h = LST / 12 * M_PI - ra;
1182
1183 /* Convert latitude... */
1184 const double lat_help = DEG2RAD(lat);
1185
1186 /* Return cosine of solar zenith angle... */
1187 return sin(lat_help) * sindec + cos(lat_help)
1188 * sqrt(1 - POW2(sindec)) * cos(h);
1189}
#define POW2(x)
Compute the square of a value.
Definition: jurassic.h:1041
#define DEG2RAD(deg)
Convert degrees to radians.
Definition: jurassic.h:505

◆ 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 1193 of file jurassic.c.

1197 {
1198
1199 double chisq_a, chisq_m = 0;
1200
1201 /* Get sizes... */
1202 const size_t m = dy->size;
1203 const size_t n = dx->size;
1204
1205 /* Allocate... */
1206 gsl_vector *x_aux = gsl_vector_alloc(n);
1207
1208 /* Determine normalized cost function...
1209 (chi^2 = 1/m * [dy^T * S_eps^{-1} * dy + dx^T * S_a^{-1} * dx]) */
1210 for (size_t i = 0; i < m; i++)
1211 chisq_m += POW2(gsl_vector_get(dy, i) * gsl_vector_get(sig_eps_inv, i));
1212 gsl_blas_dgemv(CblasNoTrans, 1.0, s_a_inv, dx, 0.0, x_aux);
1213 gsl_blas_ddot(dx, x_aux, &chisq_a);
1214
1215 /* Free... */
1216 gsl_vector_free(x_aux);
1217
1218 /* Return cost function value... */
1219 return (chisq_m + chisq_a) / (double) m;
1220}

◆ 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 1224 of file jurassic.c.

1228 {
1229
1230 static const double co2296[2001] =
1231 { 9.3388e-5, 9.7711e-5, 1.0224e-4, 1.0697e-4,
1232 1.1193e-4, 1.1712e-4, 1.2255e-4, 1.2824e-4, 1.3419e-4, 1.4043e-4,
1233 1.4695e-4, 1.5378e-4, 1.6094e-4, 1.6842e-4, 1.7626e-4, 1.8447e-4,
1234 1.9307e-4, 2.0207e-4, 2.1149e-4, 2.2136e-4, 2.3169e-4, 2.4251e-4,
1235 2.5384e-4, 2.657e-4, 2.7813e-4, 2.9114e-4, 3.0477e-4, 3.1904e-4,
1236 3.3399e-4, 3.4965e-4, 3.6604e-4, 3.8322e-4, 4.0121e-4, 4.2006e-4,
1237 4.398e-4, 4.6047e-4, 4.8214e-4, 5.0483e-4, 5.286e-4, 5.535e-4,
1238 5.7959e-4, 6.0693e-4, 6.3557e-4, 6.6558e-4, 6.9702e-4, 7.2996e-4,
1239 7.6449e-4, 8.0066e-4, 8.3856e-4, 8.7829e-4, 9.1991e-4, 9.6354e-4,
1240 .0010093, .0010572, .0011074, .00116, .0012152, .001273,
1241 .0013336, .0013972, .0014638, .0015336, .0016068, .0016835,
1242 .001764, .0018483, .0019367, .0020295, .0021267, .0022286,
1243 .0023355, .0024476, .0025652, .0026885, .0028178, .0029534,
1244 .0030956, .0032448, .0034012, .0035654, .0037375, .0039181,
1245 .0041076, .0043063, .0045148, .0047336, .0049632, .005204,
1246 .0054567, .0057219, .0060002, .0062923, .0065988, .0069204,
1247 .007258, .0076123, .0079842, .0083746, .0087844, .0092146,
1248 .0096663, .01014, .010638, .011161, .01171, .012286, .012891,
1249 .013527, .014194, .014895, .015631, .016404, .017217, .01807,
1250 .018966, .019908, .020897, .021936, .023028, .024176, .025382,
1251 .026649, .027981, .02938, .030851, .032397, .034023, .035732,
1252 .037528, .039416, .041402, .04349, .045685, .047994, .050422,
1253 .052975, .055661, .058486, .061458, .064584, .067873, .071334,
1254 .074975, .078807, .082839, .087082, .091549, .096249, .1012,
1255 .10641, .11189, .11767, .12375, .13015, .13689, .14399, .15147,
1256 .15935, .16765, .17639, .18561, .19531, .20554, .21632, .22769,
1257 .23967, .25229, .2656, .27964, .29443, .31004, .3265, .34386,
1258 .36218, .3815, .40188, .42339, .44609, .47004, .49533, .52202,
1259 .5502, .57995, .61137, .64455, .6796, .71663, .75574, .79707,
1260 .84075, .88691, .9357, .98728, 1.0418, 1.0995, 1.1605, 1.225,
1261 1.2932, 1.3654, 1.4418, 1.5227, 1.6083, 1.6989, 1.7948, 1.8964,
1262 2.004, 2.118, 2.2388, 2.3668, 2.5025, 2.6463, 2.7988, 2.9606,
1263 3.1321, 3.314, 3.5071, 3.712, 3.9296, 4.1605, 4.4058, 4.6663,
1264 4.9431, 5.2374, 5.5501, 5.8818, 6.2353, 6.6114, 7.0115, 7.4372,
1265 7.8905, 8.3731, 8.8871, 9.4349, 10.019, 10.641, 11.305, 12.013,
1266 12.769, 13.576, 14.437, 15.358, 16.342, 17.39, 18.513, 19.716,
1267 21.003, 22.379, 23.854, 25.436, 27.126, 28.942, 30.89, 32.973,
1268 35.219, 37.634, 40.224, 43.021, 46.037, 49.29, 52.803, 56.447,
1269 60.418, 64.792, 69.526, 74.637, 80.182, 86.193, 92.713, 99.786,
1270 107.47, 115.84, 124.94, 134.86, 145.69, 157.49, 170.3, 184.39,
1271 199.83, 216.4, 234.55, 254.72, 276.82, 299.85, 326.16, 354.99,
1272 386.51, 416.68, 449.89, 490.12, 534.35, 578.25, 632.26, 692.61,
1273 756.43, 834.75, 924.11, 1016.9, 996.96, 1102.7, 1219.2, 1351.9,
1274 1494.3, 1654.1, 1826.5, 2027.9, 2249., 2453.8, 2714.4, 2999.4,
1275 3209.5, 3509., 3840.4, 3907.5, 4190.7, 4533.5, 4648.3, 5059.1,
1276 5561.6, 6191.4, 6820.8, 7905.9, 9362.2, 2431.3, 2211.3, 2046.8,
1277 2023.8, 1985.9, 1905.9, 1491.1, 1369.8, 1262.2, 1200.7, 887.74,
1278 820.25, 885.23, 887.21, 816.73, 1126.9, 1216.2, 1272.4, 1579.5,
1279 1634.2, 1656.3, 1657.9, 1789.5, 1670.8, 1509.5, 8474.6, 7489.2,
1280 6793.6, 6117., 5574.1, 5141.2, 5084.6, 4745.1, 4413.2, 4102.8,
1281 4024.7, 3715., 3398.6, 3100.8, 2900.4, 2629.2, 2374., 2144.7,
1282 1955.8, 1760.8, 1591.2, 1435.2, 1296.2, 1174., 1065.1, 967.76,
1283 999.48, 897.45, 809.23, 732.77, 670.26, 611.93, 560.11, 518.77,
1284 476.84, 438.8, 408.48, 380.21, 349.24, 322.71, 296.65, 272.85,
1285 251.96, 232.04, 213.88, 197.69, 182.41, 168.41, 155.79, 144.05,
1286 133.31, 123.48, 114.5, 106.21, 98.591, 91.612, 85.156, 79.204,
1287 73.719, 68.666, 63.975, 59.637, 56.35, 52.545, 49.042, 45.788,
1288 42.78, 39.992, 37.441, 35.037, 32.8, 30.744, 28.801, 26.986,
1289 25.297, 23.731, 22.258, 20.883, 19.603, 18.403, 17.295, 16.249,
1290 15.271, 14.356, 13.501, 12.701, 11.954, 11.254, 10.6, 9.9864,
1291 9.4118, 8.8745, 8.3714, 7.8997, 7.4578, 7.0446, 6.6573, 6.2949,
1292 5.9577, 5.6395, 5.3419, 5.063, 4.8037, 4.5608, 4.3452, 4.1364,
1293 3.9413, 3.7394, 3.562, 3.3932, 3.2325, 3.0789, 2.9318, 2.7898,
1294 2.6537, 2.5225, 2.3958, 2.2305, 2.1215, 2.0245, 1.9427, 1.8795,
1295 1.8336, 1.7604, 1.7016, 1.6419, 1.5282, 1.4611, 1.3443, 1.27,
1296 1.1675, 1.0824, 1.0534, .99833, .95854, .92981, .90887, .89346,
1297 .88113, .87068, .86102, .85096, .88262, .86151, .83565, .80518,
1298 .77045, .73736, .74744, .74954, .75773, .82267, .83493, .89402,
1299 .89725, .93426, .95564, .94045, .94174, .93404, .92035, .90456,
1300 .88621, .86673, .78117, .7515, .72056, .68822, .65658, .62764,
1301 .55984, .55598, .57407, .60963, .63763, .66198, .61132, .60972,
1302 .52496, .50649, .41872, .3964, .32422, .27276, .24048, .23772,
1303 .2286, .22711, .23999, .32038, .34371, .36621, .38561, .39953,
1304 .40636, .44913, .42716, .3919, .35477, .33935, .3351, .39746,
1305 .40993, .49398, .49956, .56157, .54742, .57295, .57386, .55417,
1306 .50745, .471, .43446, .39102, .34993, .31269, .27888, .24912,
1307 .22291, .19994, .17972, .16197, .14633, .13252, .12029, .10942,
1308 .099745, .091118, .083404, .076494, .070292, .064716, .059697,
1309 .055173, .051093, .047411, .044089, .041092, .038392, .035965,
1310 .033789, .031846, .030122, .028607, .02729, .026169, .025209,
1311 .024405, .023766, .023288, .022925, .022716, .022681, .022685,
1312 .022768, .023133, .023325, .023486, .024004, .024126, .024083,
1313 .023785, .024023, .023029, .021649, .021108, .019454, .017809,
1314 .017292, .016635, .017037, .018068, .018977, .018756, .017847,
1315 .016557, .016142, .014459, .012869, .012381, .010875, .0098701,
1316 .009285, .0091698, .0091701, .0096145, .010553, .01106, .012613,
1317 .014362, .015017, .016507, .017741, .01768, .017784, .0171,
1318 .016357, .016172, .017257, .018978, .020935, .021741, .023567,
1319 .025183, .025589, .026732, .027648, .028278, .028215, .02856,
1320 .029015, .029062, .028851, .028497, .027825, .027801, .026523,
1321 .02487, .022967, .022168, .020194, .018605, .017903, .018439,
1322 .019697, .020311, .020855, .020057, .018608, .016738, .015963,
1323 .013844, .011801, .011134, .0097573, .0086007, .0086226,
1324 .0083721, .0090978, .0097616, .0098426, .011317, .012853, .01447,
1325 .014657, .015771, .016351, .016079, .014829, .013431, .013185,
1326 .013207, .01448, .016176, .017971, .018265, .019526, .020455,
1327 .019797, .019802, .0194, .018176, .017505, .016197, .015339,
1328 .014401, .013213, .012203, .011186, .010236, .0093288, .0084854,
1329 .0076837, .0069375, .0062614, .0056628, .0051153, .0046015,
1330 .0041501, .003752, .0033996, .0030865, .0028077, .0025586,
1331 .0023355, .0021353, .0019553, .0017931, .0016466, .0015141,
1332 .0013941, .0012852, .0011862, .0010962, .0010142, 9.3935e-4,
1333 8.71e-4, 8.0851e-4, 7.5132e-4, 6.9894e-4, 6.5093e-4, 6.0689e-4,
1334 5.6647e-4, 5.2935e-4, 4.9525e-4, 4.6391e-4, 4.3509e-4, 4.086e-4,
1335 3.8424e-4, 3.6185e-4, 3.4126e-4, 3.2235e-4, 3.0498e-4, 2.8904e-4,
1336 2.7444e-4, 2.6106e-4, 2.4883e-4, 2.3766e-4, 2.275e-4, 2.1827e-4,
1337 2.0992e-4, 2.0239e-4, 1.9563e-4, 1.896e-4, 1.8427e-4, 1.796e-4,
1338 1.7555e-4, 1.7209e-4, 1.692e-4, 1.6687e-4, 1.6505e-4, 1.6375e-4,
1339 1.6294e-4, 1.6261e-4, 1.6274e-4, 1.6334e-4, 1.6438e-4, 1.6587e-4,
1340 1.678e-4, 1.7017e-4, 1.7297e-4, 1.762e-4, 1.7988e-4, 1.8399e-4,
1341 1.8855e-4, 1.9355e-4, 1.9902e-4, 2.0494e-4, 2.1134e-4, 2.1823e-4,
1342 2.2561e-4, 2.335e-4, 2.4192e-4, 2.5088e-4, 2.604e-4, 2.705e-4,
1343 2.8119e-4, 2.9251e-4, 3.0447e-4, 3.171e-4, 3.3042e-4, 3.4447e-4,
1344 3.5927e-4, 3.7486e-4, 3.9127e-4, 4.0854e-4, 4.267e-4, 4.4579e-4,
1345 4.6586e-4, 4.8696e-4, 5.0912e-4, 5.324e-4, 5.5685e-4, 5.8253e-4,
1346 6.0949e-4, 6.378e-4, 6.6753e-4, 6.9873e-4, 7.3149e-4, 7.6588e-4,
1347 8.0198e-4, 8.3987e-4, 8.7964e-4, 9.2139e-4, 9.6522e-4, .0010112,
1348 .0010595, .0011102, .0011634, .0012193, .001278, .0013396,
1349 .0014043, .0014722, .0015436, .0016185, .0016972, .0017799,
1350 .0018668, .001958, .0020539, .0021547, .0022606, .0023719,
1351 .002489, .002612, .0027414, .0028775, .0030206, .0031712,
1352 .0033295, .0034962, .0036716, .0038563, .0040506, .0042553,
1353 .0044709, .004698, .0049373, .0051894, .0054552, .0057354,
1354 .006031, .0063427, .0066717, .0070188, .0073854, .0077726,
1355 .0081816, .0086138, .0090709, .0095543, .010066, .010607,
1356 .011181, .011789, .012433, .013116, .013842, .014613, .015432,
1357 .016304, .017233, .018224, .019281, .020394, .021574, .022836,
1358 .024181, .025594, .027088, .028707, .030401, .032245, .034219,
1359 .036262, .038539, .040987, .043578, .04641, .04949, .052726,
1360 .056326, .0602, .064093, .068521, .073278, .077734, .083064,
1361 .088731, .093885, .1003, .1072, .11365, .12187, .13078, .13989,
1362 .15095, .16299, .17634, .19116, .20628, .22419, .24386, .26587,
1363 .28811, .31399, .34321, .36606, .39675, .42742, .44243, .47197,
1364 .49993, .49027, .51147, .52803, .48931, .49729, .5026, .43854,
1365 .441, .44766, .43414, .46151, .50029, .55247, .43855, .32115,
1366 .32607, .3431, .36119, .38029, .41179, .43996, .47144, .51853,
1367 .55362, .59122, .66338, .69877, .74001, .82923, .86907, .90361,
1368 1.0025, 1.031, 1.0559, 1.104, 1.1178, 1.1341, 1.1547, 1.351,
1369 1.4772, 1.4812, 1.4907, 1.512, 1.5442, 1.5853, 1.6358, 1.6963,
1370 1.7674, 1.8474, 1.9353, 2.0335, 2.143, 2.2592, 2.3853, 2.5217,
1371 2.6686, 2.8273, 2.9998, 3.183, 3.3868, 3.6109, 3.8564, 4.1159,
1372 4.4079, 4.7278, 5.0497, 5.3695, 5.758, 6.0834, 6.4976, 6.9312,
1373 7.38, 7.5746, 7.9833, 8.3791, 8.3956, 8.7501, 9.1067, 9.072,
1374 9.4649, 9.9112, 10.402, 10.829, 11.605, 12.54, 12.713, 10.443,
1375 10.825, 11.375, 11.955, 12.623, 13.326, 14.101, 15.041, 15.547,
1376 16.461, 17.439, 18.716, 19.84, 21.036, 22.642, 23.901, 25.244,
1377 27.03, 28.411, 29.871, 31.403, 33.147, 34.744, 36.456, 39.239,
1378 43.605, 45.162, 47.004, 49.093, 51.391, 53.946, 56.673, 59.629,
1379 63.167, 66.576, 70.254, 74.222, 78.477, 83.034, 87.914, 93.18,
1380 98.77, 104.74, 111.15, 117.95, 125.23, 133.01, 141.33, 150.21,
1381 159.71, 169.89, 180.93, 192.54, 204.99, 218.34, 232.65, 248.,
1382 264.47, 282.14, 301.13, 321.53, 343.48, 367.08, 392.5, 419.88,
1383 449.4, 481.26, 515.64, 552.79, 592.99, 636.48, 683.61, 734.65,
1384 789.99, 850.02, 915.14, 985.81, 1062.5, 1147.1, 1237.8, 1336.4,
1385 1443.2, 1558.9, 1684.2, 1819.2, 1965.2, 2122.6, 2291.7, 2470.8,
1386 2665.7, 2874.9, 3099.4, 3337.9, 3541., 3813.3, 4111.9, 4439.3,
1387 4798.9, 5196., 5639.2, 6087.5, 6657.7, 7306.7, 8040.7, 8845.5,
1388 9702.2, 10670., 11739., 12842., 14141., 15498., 17068., 18729.,
1389 20557., 22559., 25248., 27664., 30207., 32915., 35611., 38081.,
1390 40715., 43191., 41651., 42750., 43785., 44353., 44366., 44189.,
1391 43618., 42862., 41878., 35133., 35215., 36383., 39420., 44055.,
1392 44155., 45850., 46853., 39197., 38274., 29942., 28553., 21792.,
1393 21228., 17106., 14955., 18181., 19557., 21427., 23728., 26301.,
1394 28584., 30775., 32536., 33867., 40089., 39204., 37329., 34452.,
1395 31373., 33921., 34800., 36043., 44415., 45162., 52181., 50895.,
1396 54140., 50840., 50468., 48302., 44915., 40910., 36754., 32755.,
1397 29093., 25860., 22962., 20448., 18247., 16326., 14645., 13165.,
1398 11861., 10708., 9686.9, 8779.7, 7971.9, 7250.8, 6605.7, 6027.2,
1399 5507.3, 5039.1, 4616.6, 4234.8, 3889., 3575.4, 3290.5, 3031.3,
1400 2795.2, 2579.9, 2383.1, 2203.3, 2038.6, 1887.6, 1749.1, 1621.9,
1401 1505., 1397.4, 1298.3, 1207., 1122.8, 1045., 973.1, 906.64,
1402 845.16, 788.22, 735.48, 686.57, 641.21, 599.1, 559.99, 523.64,
1403 489.85, 458.42, 429.16, 401.92, 376.54, 352.88, 330.82, 310.24,
1404 291.03, 273.09, 256.34, 240.69, 226.05, 212.37, 199.57, 187.59,
1405 176.37, 165.87, 156.03, 146.82, 138.17, 130.07, 122.47, 115.34,
1406 108.65, 102.37, 96.473, 90.934, 85.73, 80.84, 76.243, 71.922,
1407 67.858, 64.034, 60.438, 57.052, 53.866, 50.866, 48.04, 45.379,
1408 42.872, 40.51, 38.285, 36.188, 34.211, 32.347, 30.588, 28.929,
1409 27.362, 25.884, 24.489, 23.171, 21.929, 20.755, 19.646, 18.599,
1410 17.61, 16.677, 15.795, 14.961, 14.174, 13.43, 12.725, 12.06,
1411 11.431, 10.834, 10.27, 9.7361, 9.2302, 8.7518, 8.2997, 7.8724,
1412 7.4674, 7.0848, 6.7226, 6.3794, 6.054, 5.745, 5.4525, 5.1752,
1413 4.9121, 4.6625, 4.4259, 4.2015, 3.9888, 3.7872, 3.5961, 3.4149,
1414 3.2431, 3.0802, 2.9257, 2.7792, 2.6402, 2.5084, 2.3834, 2.2648,
1415 2.1522, 2.0455, 1.9441, 1.848, 1.7567, 1.6701, 1.5878, 1.5097,
1416 1.4356, 1.3651, 1.2981, 1.2345, 1.174, 1.1167, 1.062, 1.0101,
1417 .96087, .91414, .86986, .82781, .78777, .74971, .71339, .67882,
1418 .64604, .61473, .58507, .55676, .52987, .5044, .48014, .45715,
1419 .43527, .41453, .3948, .37609, .35831, .34142, .32524, .30995,
1420 .29536, .28142, .26807, .25527, .24311, .23166, .22077, .21053,
1421 .20081, .19143, .18261, .17407, .16603, .15833, .15089, .14385,
1422 .13707, .13065, .12449, .11865, .11306, .10774, .10266, .097818,
1423 .093203, .088815, .084641, .080671, .076892, .073296, .069873,
1424 .066613, .06351, .060555, .05774, .055058, .052504, .050071,
1425 .047752, .045543, .043438, .041432, .039521, .037699, .035962,
1426 .034307, .032729, .031225, .029791, .028423, .02712, .025877,
1427 .024692, .023563, .022485, .021458, .020478, .019543, .018652,
1428 .017802, .016992, .016219, .015481, .014778, .014107, .013467,
1429 .012856, .012274, .011718, .011188, .010682, .0102, .0097393,
1430 .0093001, .008881, .0084812, .0080997, .0077358, .0073885,
1431 .0070571, .0067409, .0064393, .0061514, .0058768, .0056147,
1432 .0053647, .0051262, .0048987, .0046816, .0044745, .0042769,
1433 .0040884, .0039088, .0037373, .0035739, .003418, .0032693,
1434 .0031277, .0029926, .0028639, .0027413, .0026245, .0025133,
1435 .0024074, .0023066, .0022108, .0021196, .002033, .0019507,
1436 .0018726, .0017985, .0017282, .0016617, .0015988, .0015394,
1437 .0014834, .0014306, .0013811, .0013346, .0012911, .0012506,
1438 .0012131, .0011784, .0011465, .0011175, .0010912, .0010678,
1439 .0010472, .0010295, .0010147, .001003, 9.9428e-4, 9.8883e-4,
1440 9.8673e-4, 9.8821e-4, 9.9343e-4, .0010027, .0010164, .0010348,
1441 .0010586, .0010882, .0011245, .0011685, .0012145, .0012666,
1442 .0013095, .0013688, .0014048, .0014663, .0015309, .0015499,
1443 .0016144, .0016312, .001705, .0017892, .0018499, .0019715,
1444 .0021102, .0022442, .0024284, .0025893, .0027703, .0029445,
1445 .0031193, .003346, .0034552, .0036906, .0037584, .0040084,
1446 .0041934, .0044587, .0047093, .0049759, .0053421, .0055134,
1447 .0059048, .0058663, .0061036, .0063259, .0059657, .0060653,
1448 .0060972, .0055539, .0055653, .0055772, .005331, .0054953,
1449 .0055919, .0058684, .006183, .0066675, .0069808, .0075142,
1450 .0078536, .0084282, .0089454, .0094625, .0093703, .0095857,
1451 .0099283, .010063, .010521, .0097778, .0098175, .010379, .010447,
1452 .0105, .010617, .010706, .01078, .011177, .011212, .011304,
1453 .011446, .011603, .011816, .012165, .012545, .013069, .013539,
1454 .01411, .014776, .016103, .017016, .017994, .018978, .01998,
1455 .021799, .022745, .023681, .024627, .025562, .026992, .027958,
1456 .029013, .030154, .031402, .03228, .033651, .035272, .037088,
1457 .039021, .041213, .043597, .045977, .04877, .051809, .054943,
1458 .058064, .061528, .06537, .069309, .071928, .075752, .079589,
1459 .083352, .084096, .087497, .090817, .091198, .094966, .099045,
1460 .10429, .10867, .11518, .12269, .13126, .14087, .15161, .16388,
1461 .16423, .1759, .18721, .19994, .21275, .22513, .23041, .24231,
1462 .25299, .25396, .26396, .27696, .27929, .2908, .30595, .31433,
1463 .3282, .3429, .35944, .37467, .39277, .41245, .43326, .45649,
1464 .48152, .51897, .54686, .57877, .61263, .64962, .68983, .73945,
1465 .78619, .83537, .89622, .95002, 1.0067, 1.0742, 1.1355, 1.2007,
1466 1.2738, 1.347, 1.4254, 1.5094, 1.6009, 1.6976, 1.8019, 1.9148,
1467 2.0357, 2.166, 2.3066, 2.4579, 2.6208, 2.7966, 2.986, 3.188,
1468 3.4081, 3.6456, 3.9, 4.1747, 4.4712, 4.7931, 5.1359, 5.5097,
1469 5.9117, 6.3435, 6.8003, 7.3001, 7.8385, 8.3945, 9.011, 9.6869,
1470 10.392, 11.18, 12.036, 12.938, 13.944, 14.881, 16.029, 17.255,
1471 18.574, 19.945, 21.38, 22.9, 24.477, 26.128, 27.87, 29.037,
1472 30.988, 33.145, 35.506, 37.76, 40.885, 44.487, 48.505, 52.911,
1473 57.56, 61.964, 67.217, 72.26, 78.343, 85.08, 91.867, 99.435,
1474 107.68, 116.97, 127.12, 138.32, 150.26, 163.04, 174.81, 189.26,
1475 205.61, 224.68, 240.98, 261.88, 285.1, 307.58, 334.35, 363.53,
1476 394.68, 427.85, 458.85, 489.25, 472.87, 486.93, 496.27, 501.52,
1477 501.57, 497.14, 488.09, 476.32, 393.76, 388.51, 393.42, 414.45,
1478 455.12, 514.62, 520.38, 547.42, 562.6, 487.47, 480.83, 391.06,
1479 376.92, 303.7, 295.91, 256.03, 236.73, 280.38, 310.71, 335.53,
1480 367.88, 401.94, 435.52, 469.13, 497.94, 588.82, 597.94, 597.2,
1481 588.28, 571.2, 555.75, 603.56, 638.15, 680.75, 801.72, 848.01,
1482 962.15, 990.06, 1068.1, 1076.2, 1115.3, 1134.2, 1136.6, 1119.1,
1483 1108.9, 1090.6, 1068.7, 1041.9, 1005.4, 967.98, 927.08, 780.1,
1484 751.41, 733.12, 742.65, 785.56, 855.16, 852.45, 878.1, 784.59,
1485 777.81, 765.13, 622.93, 498.09, 474.89, 386.9, 378.48, 336.17,
1486 322.04, 329.57, 350.5, 383.38, 420.02, 462.39, 499.71, 531.98,
1487 654.99, 653.43, 639.99, 605.16, 554.16, 504.42, 540.64, 552.33,
1488 679.46, 699.51, 713.91, 832.17, 919.91, 884.96, 907.57, 846.56,
1489 818.56, 768.93, 706.71, 642.17, 575.95, 515.38, 459.07, 409.02,
1490 364.61, 325.46, 291.1, 260.89, 234.39, 211.01, 190.38, 172.11,
1491 155.91, 141.49, 128.63, 117.13, 106.84, 97.584, 89.262, 81.756,
1492 74.975, 68.842, 63.28, 58.232, 53.641, 49.46, 45.649, 42.168,
1493 38.991, 36.078, 33.409, 30.96, 28.71, 26.642, 24.737, 22.985,
1494 21.37, 19.882, 18.512, 17.242, 16.073, 14.987, 13.984, 13.05,
1495 12.186, 11.384, 10.637, 9.9436, 9.2988, 8.6991, 8.141, 7.6215,
1496 7.1378, 6.6872, 6.2671, 5.8754, 5.51, 5.1691, 4.851, 4.5539,
1497 4.2764, 4.0169, 3.7742, 3.5472, 3.3348, 3.1359, 2.9495, 2.7749,
1498 2.6113, 2.4578, 2.3139, 2.1789, 2.0523, 1.9334, 1.8219, 1.7171,
1499 1.6188, 1.5263, 1.4395, 1.3579, 1.2812, 1.209, 1.1411, 1.0773,
1500 1.0171, .96048, .90713, .85684, .80959, .76495, .72282, .68309,
1501 .64563, .61035, .57707, .54573, .51622, .48834, .46199, .43709,
1502 .41359, .39129, .37034, .35064, .33198, .31442, .29784, .28218,
1503 .26732, .25337, .24017, .22774, .21601, .20479, .19426
1504 };
1505
1506 static const double co2260[2001] =
1507 { 5.7971e-5, 6.0733e-5, 6.3628e-5, 6.6662e-5,
1508 6.9843e-5, 7.3176e-5, 7.6671e-5, 8.0334e-5, 8.4175e-5, 8.8201e-5,
1509 9.2421e-5, 9.6846e-5, 1.0149e-4, 1.0635e-4, 1.1145e-4, 1.1679e-4,
1510 1.224e-4, 1.2828e-4, 1.3444e-4, 1.409e-4, 1.4768e-4, 1.5479e-4,
1511 1.6224e-4, 1.7006e-4, 1.7826e-4, 1.8685e-4, 1.9587e-4, 2.0532e-4,
1512 2.1524e-4, 2.2565e-4, 2.3656e-4, 2.48e-4, 2.6001e-4, 2.7261e-4,
1513 2.8582e-4, 2.9968e-4, 3.1422e-4, 3.2948e-4, 3.4548e-4, 3.6228e-4,
1514 3.799e-4, 3.9838e-4, 4.1778e-4, 4.3814e-4, 4.595e-4, 4.8191e-4,
1515 5.0543e-4, 5.3012e-4, 5.5603e-4, 5.8321e-4, 6.1175e-4, 6.417e-4,
1516 6.7314e-4, 7.0614e-4, 7.4078e-4, 7.7714e-4, 8.1531e-4, 8.5538e-4,
1517 8.9745e-4, 9.4162e-4, 9.8798e-4, .0010367, .0010878, .0011415,
1518 .0011978, .001257, .0013191, .0013844, .001453, .0015249,
1519 .0016006, .00168, .0017634, .001851, .001943, .0020397, .0021412,
1520 .0022479, .00236, .0024778, .0026015, .0027316, .0028682,
1521 .0030117, .0031626, .0033211, .0034877, .0036628, .0038469,
1522 .0040403, .0042436, .0044574, .004682, .0049182, .0051665,
1523 .0054276, .0057021, .0059907, .0062942, .0066133, .0069489,
1524 .0073018, .0076729, .0080632, .0084738, .0089056, .0093599,
1525 .0098377, .01034, .010869, .011426, .012011, .012627, .013276,
1526 .013958, .014676, .015431, .016226, .017063, .017944, .018872,
1527 .019848, .020876, .021958, .023098, .024298, .025561, .026892,
1528 .028293, .029769, .031323, .032961, .034686, .036503, .038418,
1529 .040435, .042561, .044801, .047161, .049649, .052271, .055035,
1530 .057948, .061019, .064256, .06767, .07127, .075066, .079069,
1531 .083291, .087744, .092441, .097396, .10262, .10814, .11396,
1532 .1201, .12658, .13342, .14064, .14826, .1563, .1648, .17376,
1533 .18323, .19324, .2038, .21496, .22674, .23919, .25234, .26624,
1534 .28093, .29646, .31287, .33021, .34855, .36794, .38844, .41012,
1535 .43305, .45731, .48297, .51011, .53884, .56924, .60141, .63547,
1536 .67152, .70969, .75012, .79292, .83826, .8863, .93718, .99111,
1537 1.0482, 1.1088, 1.173, 1.2411, 1.3133, 1.3898, 1.471, 1.5571,
1538 1.6485, 1.7455, 1.8485, 1.9577, 2.0737, 2.197, 2.3278, 2.4668,
1539 2.6145, 2.7715, 2.9383, 3.1156, 3.3042, 3.5047, 3.7181, 3.9451,
1540 4.1866, 4.4437, 4.7174, 5.0089, 5.3192, 5.65, 6.0025, 6.3782,
1541 6.7787, 7.206, 7.6617, 8.1479, 8.6669, 9.221, 9.8128, 10.445,
1542 11.12, 11.843, 12.615, 13.441, 14.325, 15.271, 16.283, 17.367,
1543 18.529, 19.776, 21.111, 22.544, 24.082, 25.731, 27.504, 29.409,
1544 31.452, 33.654, 36.024, 38.573, 41.323, 44.29, 47.492, 50.951,
1545 54.608, 58.588, 62.929, 67.629, 72.712, 78.226, 84.207, 90.699,
1546 97.749, 105.42, 113.77, 122.86, 132.78, 143.61, 155.44, 168.33,
1547 182.48, 198.01, 214.87, 233.39, 253.86, 276.34, 300.3, 327.28,
1548 356.89, 389.48, 422.29, 458.99, 501.39, 548.13, 595.62, 652.74,
1549 716.54, 784.57, 866.78, 960.59, 1062.8, 1072.5, 1189.5, 1319.4,
1550 1467.6, 1630.2, 1813.7, 2016.9, 2253., 2515.3, 2773.5, 3092.8,
1551 3444.4, 3720.4, 4104.3, 4527.5, 4645.9, 5021.7, 5462.2, 5597.,
1552 6110.6, 6732.5, 7513.8, 8270.6, 9640.6, 11487., 2796.1, 2680.1,
1553 2441.6, 2404.2, 2334.8, 2215.2, 1642.5, 1477.9, 1328.1, 1223.5,
1554 843.34, 766.96, 831.65, 834.84, 774.85, 1156.3, 1275.6, 1366.1,
1555 1795.6, 1885., 1936.5, 1953.4, 2154.4, 2002.7, 1789.8, 10381.,
1556 9040., 8216.5, 7384.7, 6721.9, 6187.7, 6143.8, 5703.9, 5276.6,
1557 4873.1, 4736., 4325.3, 3927., 3554.1, 3286.1, 2950.1, 2642.4,
1558 2368.7, 2138.9, 1914., 1719.6, 1543.9, 1388.6, 1252.1, 1132.2,
1559 1024.1, 1025.4, 920.58, 829.59, 750.54, 685.01, 624.25, 570.14,
1560 525.81, 481.85, 441.95, 408.71, 377.23, 345.86, 318.51, 292.26,
1561 268.34, 247.04, 227.14, 209.02, 192.69, 177.59, 163.78, 151.26,
1562 139.73, 129.19, 119.53, 110.7, 102.57, 95.109, 88.264, 81.948,
1563 76.13, 70.768, 65.827, 61.251, 57.022, 53.495, 49.824, 46.443,
1564 43.307, 40.405, 37.716, 35.241, 32.923, 30.77, 28.78, 26.915,
1565 25.177, 23.56, 22.059, 20.654, 19.345, 18.126, 16.988, 15.93,
1566 14.939, 14.014, 13.149, 12.343, 11.589, 10.884, 10.225, 9.6093,
1567 9.0327, 8.4934, 7.9889, 7.5166, 7.0744, 6.6604, 6.2727, 5.9098,
1568 5.5701, 5.2529, 4.955, 4.676, 4.4148, 4.171, 3.9426, 3.7332,
1569 3.5347, 3.3493, 3.1677, 3.0025, 2.8466, 2.6994, 2.5601, 2.4277,
1570 2.3016, 2.1814, 2.0664, 1.9564, 1.8279, 1.7311, 1.6427, 1.5645,
1571 1.4982, 1.443, 1.374, 1.3146, 1.2562, 1.17, 1.1105, 1.0272,
1572 .96863, .89718, .83654, .80226, .75908, .72431, .69573, .67174,
1573 .65126, .63315, .61693, .60182, .58715, .59554, .57649, .55526,
1574 .53177, .50622, .48176, .4813, .47642, .47492, .50273, .50293,
1575 .52687, .52239, .53419, .53814, .52626, .52211, .51492, .50622,
1576 .49746, .48841, .4792, .43534, .41999, .40349, .38586, .36799,
1577 .35108, .31089, .30803, .3171, .33599, .35041, .36149, .32924,
1578 .32462, .27309, .25961, .20922, .19504, .15683, .13098, .11588,
1579 .11478, .11204, .11363, .12135, .16423, .17785, .19094, .20236,
1580 .21084, .2154, .24108, .22848, .20871, .18797, .17963, .17834,
1581 .21552, .22284, .26945, .27052, .30108, .28977, .29772, .29224,
1582 .27658, .24956, .22777, .20654, .18392, .16338, .1452, .12916,
1583 .1152, .10304, .092437, .083163, .075031, .067878, .061564,
1584 .055976, .051018, .046609, .042679, .03917, .036032, .033223,
1585 .030706, .02845, .026428, .024617, .022998, .021554, .02027,
1586 .019136, .018141, .017278, .016541, .015926, .015432, .015058,
1587 .014807, .014666, .014635, .014728, .014947, .01527, .015728,
1588 .016345, .017026, .017798, .018839, .019752, .020636, .021886,
1589 .022695, .02327, .023478, .024292, .023544, .022222, .021932,
1590 .020052, .018143, .017722, .017031, .017782, .01938, .020734,
1591 .020476, .019255, .017477, .016878, .014617, .012489, .011765,
1592 .0099077, .0086446, .0079446, .0078644, .0079763, .008671,
1593 .01001, .0108, .012933, .015349, .016341, .018484, .020254,
1594 .020254, .020478, .019591, .018595, .018385, .019913, .022254,
1595 .024847, .025809, .028053, .029924, .030212, .031367, .03222,
1596 .032739, .032537, .03286, .033344, .033507, .033499, .033339,
1597 .032809, .033041, .031723, .029837, .027511, .026603, .024032,
1598 .021914, .020948, .021701, .023425, .024259, .024987, .023818,
1599 .021768, .019223, .018144, .015282, .012604, .01163, .0097907,
1600 .008336, .0082473, .0079582, .0088077, .009779, .010129, .012145,
1601 .014378, .016761, .01726, .018997, .019998, .019809, .01819,
1602 .016358, .016099, .01617, .017939, .020223, .022521, .02277,
1603 .024279, .025247, .024222, .023989, .023224, .021493, .020362,
1604 .018596, .017309, .015975, .014466, .013171, .011921, .01078,
1605 .0097229, .0087612, .0078729, .0070682, .0063494, .0057156,
1606 .0051459, .0046273, .0041712, .0037686, .0034119, .003095,
1607 .0028126, .0025603, .0023342, .0021314, .0019489, .0017845,
1608 .001636, .0015017, .00138, .0012697, .0011694, .0010782,
1609 9.9507e-4, 9.1931e-4, 8.5013e-4, 7.869e-4, 7.2907e-4, 6.7611e-4,
1610 6.2758e-4, 5.8308e-4, 5.4223e-4, 5.0473e-4, 4.7027e-4, 4.3859e-4,
1611 4.0946e-4, 3.8265e-4, 3.5798e-4, 3.3526e-4, 3.1436e-4, 2.9511e-4,
1612 2.7739e-4, 2.6109e-4, 2.4609e-4, 2.3229e-4, 2.1961e-4, 2.0797e-4,
1613 1.9729e-4, 1.875e-4, 1.7855e-4, 1.7038e-4, 1.6294e-4, 1.5619e-4,
1614 1.5007e-4, 1.4456e-4, 1.3961e-4, 1.3521e-4, 1.3131e-4, 1.2789e-4,
1615 1.2494e-4, 1.2242e-4, 1.2032e-4, 1.1863e-4, 1.1733e-4, 1.1641e-4,
1616 1.1585e-4, 1.1565e-4, 1.158e-4, 1.1629e-4, 1.1712e-4, 1.1827e-4,
1617 1.1976e-4, 1.2158e-4, 1.2373e-4, 1.262e-4, 1.2901e-4, 1.3214e-4,
1618 1.3562e-4, 1.3944e-4, 1.4361e-4, 1.4814e-4, 1.5303e-4, 1.5829e-4,
1619 1.6394e-4, 1.6999e-4, 1.7644e-4, 1.8332e-4, 1.9063e-4, 1.984e-4,
1620 2.0663e-4, 2.1536e-4, 2.246e-4, 2.3436e-4, 2.4468e-4, 2.5558e-4,
1621 2.6708e-4, 2.7921e-4, 2.92e-4, 3.0548e-4, 3.1968e-4, 3.3464e-4,
1622 3.5039e-4, 3.6698e-4, 3.8443e-4, 4.0281e-4, 4.2214e-4, 4.4248e-4,
1623 4.6389e-4, 4.864e-4, 5.1009e-4, 5.3501e-4, 5.6123e-4, 5.888e-4,
1624 6.1781e-4, 6.4833e-4, 6.8043e-4, 7.142e-4, 7.4973e-4, 7.8711e-4,
1625 8.2644e-4, 8.6783e-4, 9.1137e-4, 9.5721e-4, .0010054, .0010562,
1626 .0011096, .0011659, .0012251, .0012875, .0013532, .0014224,
1627 .0014953, .001572, .0016529, .0017381, .0018279, .0019226,
1628 .0020224, .0021277, .0022386, .0023557, .0024792, .0026095,
1629 .002747, .0028921, .0030453, .0032071, .003378, .0035586,
1630 .0037494, .003951, .0041642, .0043897, .0046282, .0048805,
1631 .0051476, .0054304, .00573, .0060473, .0063837, .0067404,
1632 .0071188, .0075203, .0079466, .0083994, .0088806, .0093922,
1633 .0099366, .010516, .011134, .011792, .012494, .013244, .014046,
1634 .014898, .015808, .016781, .017822, .018929, .020108, .02138,
1635 .022729, .02419, .02576, .027412, .029233, .031198, .033301,
1636 .035594, .038092, .040767, .04372, .046918, .050246, .053974,
1637 .058009, .061976, .066586, .071537, .076209, .081856, .087998,
1638 .093821, .10113, .10913, .11731, .12724, .13821, .15025, .1639,
1639 .17807, .19472, .21356, .23496, .25758, .28387, .31389, .34104,
1640 .37469, .40989, .43309, .46845, .5042, .5023, .52981, .55275,
1641 .51075, .51976, .52457, .44779, .44721, .4503, .4243, .45244,
1642 .49491, .55399, .39021, .24802, .2501, .2618, .27475, .28879,
1643 .31317, .33643, .36257, .4018, .43275, .46525, .53333, .56599,
1644 .60557, .70142, .74194, .77736, .88567, .91182, .93294, .98407,
1645 .98772, .99176, .9995, 1.2405, 1.3602, 1.338, 1.3255, 1.3267,
1646 1.3404, 1.3634, 1.3967, 1.4407, 1.4961, 1.5603, 1.6328, 1.7153,
1647 1.8094, 1.9091, 2.018, 2.1367, 2.264, 2.4035, 2.5562, 2.7179,
1648 2.9017, 3.1052, 3.3304, 3.5731, 3.8488, 4.1553, 4.4769, 4.7818,
1649 5.1711, 5.5204, 5.9516, 6.4097, 6.8899, 7.1118, 7.5469, 7.9735,
1650 7.9511, 8.3014, 8.6418, 8.4757, 8.8256, 9.2294, 9.6923, 10.033,
1651 10.842, 11.851, 11.78, 8.8435, 9.1381, 9.5956, 10.076, 10.629,
1652 11.22, 11.883, 12.69, 13.163, 13.974, 14.846, 16.027, 17.053,
1653 18.148, 19.715, 20.907, 22.163, 23.956, 25.235, 26.566, 27.94,
1654 29.576, 30.956, 32.432, 35.337, 39.911, 41.128, 42.625, 44.386,
1655 46.369, 48.619, 51.031, 53.674, 56.825, 59.921, 63.286, 66.929,
1656 70.859, 75.081, 79.618, 84.513, 89.739, 95.335, 101.35, 107.76,
1657 114.63, 121.98, 129.87, 138.3, 147.34, 157.04, 167.56, 178.67,
1658 190.61, 203.43, 217.19, 231.99, 247.88, 264.98, 283.37, 303.17,
1659 324.49, 347.47, 372.25, 398.98, 427.85, 459.06, 492.8, 529.31,
1660 568.89, 611.79, 658.35, 708.91, 763.87, 823.65, 888.72, 959.58,
1661 1036.8, 1121.8, 1213.9, 1314.3, 1423.8, 1543., 1672.8, 1813.4,
1662 1966.1, 2131.4, 2309.5, 2499.3, 2705., 2925.7, 3161.6, 3411.3,
1663 3611.5, 3889.2, 4191.1, 4519.3, 4877.9, 5272.9, 5712.9, 6142.7,
1664 6719.6, 7385., 8145., 8977.7, 9831.9, 10827., 11934., 13063.,
1665 14434., 15878., 17591., 19435., 21510., 23835., 26835., 29740.,
1666 32878., 36305., 39830., 43273., 46931., 50499., 49586., 51598.,
1667 53429., 54619., 55081., 55102., 54485., 53487., 52042., 42689.,
1668 42607., 44020., 47994., 54169., 53916., 55808., 56642., 46049.,
1669 44243., 32929., 30658., 21963., 20835., 15962., 13679., 17652.,
1670 19680., 22388., 25625., 29184., 32520., 35720., 38414., 40523.,
1671 49228., 48173., 45678., 41768., 37600., 41313., 42654., 44465.,
1672 55736., 56630., 65409., 63308., 66572., 61845., 60379., 56777.,
1673 51920., 46601., 41367., 36529., 32219., 28470., 25192., 22362.,
1674 19907., 17772., 15907., 14273., 12835., 11567., 10445., 9450.2,
1675 8565.1, 7776., 7070.8, 6439.2, 5872.3, 5362.4, 4903., 4488.3,
1676 4113.4, 3773.8, 3465.8, 3186.1, 2931.7, 2700.1, 2488.8, 2296.,
1677 2119.8, 1958.6, 1810.9, 1675.6, 1551.4, 1437.3, 1332.4, 1236.,
1678 1147.2, 1065.3, 989.86, 920.22, 855.91, 796.48, 741.53, 690.69,
1679 643.62, 600.02, 559.6, 522.13, 487.35, 455.06, 425.08, 397.21,
1680 371.3, 347.2, 324.78, 303.9, 284.46, 266.34, 249.45, 233.7,
1681 219.01, 205.3, 192.5, 180.55, 169.38, 158.95, 149.2, 140.07,
1682 131.54, 123.56, 116.09, 109.09, 102.54, 96.405, 90.655, 85.266,
1683 80.213, 75.475, 71.031, 66.861, 62.948, 59.275, 55.827, 52.587,
1684 49.544, 46.686, 43.998, 41.473, 39.099, 36.867, 34.768, 32.795,
1685 30.939, 29.192, 27.546, 25.998, 24.539, 23.164, 21.869, 20.65,
1686 19.501, 18.419, 17.399, 16.438, 15.532, 14.678, 13.874, 13.115,
1687 12.4, 11.726, 11.088, 10.488, 9.921, 9.3846, 8.8784, 8.3996,
1688 7.9469, 7.5197, 7.1174, 6.738, 6.379, 6.0409, 5.7213, 5.419,
1689 5.1327, 4.8611, 4.6046, 4.3617, 4.1316, 3.9138, 3.7077, 3.5125,
1690 3.3281, 3.1536, 2.9885, 2.8323, 2.6846, 2.5447, 2.4124, 2.2871,
1691 2.1686, 2.0564, 1.9501, 1.8495, 1.7543, 1.6641, 1.5787, 1.4978,
1692 1.4212, 1.3486, 1.2799, 1.2147, 1.1529, 1.0943, 1.0388, .98602,
1693 .93596, .8886, .84352, .80078, .76029, .722, .68585, .65161,
1694 .61901, .58808, .55854, .53044, .5039, .47853, .45459, .43173,
1695 .41008, .38965, .37021, .35186, .33444, .31797, .30234, .28758,
1696 .2736, .26036, .24764, .2357, .22431, .21342, .20295, .19288,
1697 .18334, .17444, .166, .15815, .15072, .14348, .13674, .13015,
1698 .12399, .11807, .11231, .10689, .10164, .096696, .091955,
1699 .087476, .083183, .079113, .075229, .071536, .068026, .064698,
1700 .06154, .058544, .055699, .052997, .050431, .047993, .045676,
1701 .043475, .041382, .039392, .037501, .035702, .033991, .032364,
1702 .030817, .029345, .027945, .026613, .025345, .024139, .022991,
1703 .021899, .02086, .019871, .018929, .018033, .01718, .016368,
1704 .015595, .014859, .014158, .013491, .012856, .012251, .011675,
1705 .011126, .010604, .010107, .0096331, .009182, .0087523, .0083431,
1706 .0079533, .0075821, .0072284, .0068915, .0065706, .0062649,
1707 .0059737, .0056963, .005432, .0051802, .0049404, .0047118,
1708 .0044941, .0042867, .0040891, .0039009, .0037216, .0035507,
1709 .003388, .0032329, .0030852, .0029445, .0028105, .0026829,
1710 .0025613, .0024455, .0023353, .0022303, .0021304, .0020353,
1711 .0019448, .0018587, .0017767, .0016988, .0016247, .0015543,
1712 .0014874, .0014238, .0013635, .0013062, .0012519, .0012005,
1713 .0011517, .0011057, .0010621, .001021, 9.8233e-4, 9.4589e-4,
1714 9.1167e-4, 8.7961e-4, 8.4964e-4, 8.2173e-4, 7.9582e-4, 7.7189e-4,
1715 7.499e-4, 7.2983e-4, 7.1167e-4, 6.9542e-4, 6.8108e-4, 6.6866e-4,
1716 6.5819e-4, 6.4971e-4, 6.4328e-4, 6.3895e-4, 6.3681e-4, 6.3697e-4,
1717 6.3956e-4, 6.4472e-4, 6.5266e-4, 6.6359e-4, 6.778e-4, 6.9563e-4,
1718 7.1749e-4, 7.4392e-4, 7.7556e-4, 8.1028e-4, 8.4994e-4, 8.8709e-4,
1719 9.3413e-4, 9.6953e-4, .0010202, .0010738, .0010976, .0011507,
1720 .0011686, .0012264, .001291, .0013346, .0014246, .0015293,
1721 .0016359, .0017824, .0019255, .0020854, .002247, .0024148,
1722 .0026199, .0027523, .0029704, .0030702, .0033047, .0035013,
1723 .0037576, .0040275, .0043089, .0046927, .0049307, .0053486,
1724 .0053809, .0056699, .0059325, .0055488, .005634, .0056392,
1725 .004946, .0048855, .0048208, .0044386, .0045498, .0046377,
1726 .0048939, .0052396, .0057324, .0060859, .0066906, .0071148,
1727 .0077224, .0082687, .008769, .0084471, .008572, .0087729,
1728 .008775, .0090742, .0080704, .0080288, .0085747, .0086087,
1729 .0086408, .0088752, .0089381, .0089757, .0093532, .0092824,
1730 .0092566, .0092645, .0092735, .009342, .0095806, .0097991,
1731 .010213, .010611, .011129, .011756, .013237, .01412, .015034,
1732 .015936, .01682, .018597, .019315, .019995, .020658, .021289,
1733 .022363, .022996, .023716, .024512, .025434, .026067, .027118,
1734 .028396, .029865, .031442, .033253, .03525, .037296, .039701,
1735 .042356, .045154, .048059, .051294, .054893, .058636, .061407,
1736 .065172, .068974, .072676, .073379, .076547, .079556, .079134,
1737 .082308, .085739, .090192, .09359, .099599, .10669, .11496,
1738 .1244, .13512, .14752, .14494, .15647, .1668, .17863, .19029,
1739 .20124, .20254, .21179, .21982, .21625, .22364, .23405, .23382,
1740 .2434, .25708, .26406, .27621, .28909, .30395, .31717, .33271,
1741 .3496, .36765, .38774, .40949, .446, .46985, .49846, .5287, .562,
1742 .59841, .64598, .68834, .7327, .78978, .8373, .88708, .94744,
1743 1.0006, 1.0574, 1.1215, 1.1856, 1.2546, 1.3292, 1.4107, 1.4974,
1744 1.5913, 1.6931, 1.8028, 1.9212, 2.0492, 2.1874, 2.3365, 2.4978,
1745 2.6718, 2.8588, 3.062, 3.2818, 3.5188, 3.7752, 4.0527, 4.3542,
1746 4.6782, 5.0312, 5.4123, 5.8246, 6.2639, 6.7435, 7.2636, 7.8064,
1747 8.4091, 9.0696, 9.7677, 10.548, 11.4, 12.309, 13.324, 14.284,
1748 15.445, 16.687, 18.019, 19.403, 20.847, 22.366, 23.925, 25.537,
1749 27.213, 28.069, 29.864, 31.829, 33.988, 35.856, 38.829, 42.321,
1750 46.319, 50.606, 55.126, 59.126, 64.162, 68.708, 74.615, 81.176,
1751 87.739, 95.494, 103.83, 113.38, 123.99, 135.8, 148.7, 162.58,
1752 176.32, 192.6, 211.47, 232.7, 252.64, 277.41, 305.38, 333.44,
1753 366.42, 402.66, 442.14, 484.53, 526.42, 568.15, 558.78, 582.6,
1754 600.98, 613.94, 619.44, 618.24, 609.84, 595.96, 484.86, 475.59,
1755 478.49, 501.56, 552.19, 628.44, 630.39, 658.92, 671.96, 562.7,
1756 545.88, 423.43, 400.14, 306.59, 294.13, 246.8, 226.51, 278.21,
1757 314.39, 347.22, 389.13, 433.16, 477.48, 521.67, 560.54, 683.6,
1758 696.37, 695.91, 683.1, 658.24, 634.89, 698.85, 742.87, 796.66,
1759 954.49, 1009.5, 1150.5, 1179.1, 1267.9, 1272.4, 1312.7, 1330.4,
1760 1331.6, 1315.8, 1308.3, 1293.3, 1274.6, 1249.5, 1213.2, 1172.1,
1761 1124.4, 930.33, 893.36, 871.27, 883.54, 940.76, 1036., 1025.6,
1762 1053.1, 914.51, 894.15, 865.03, 670.63, 508.41, 475.15, 370.85,
1763 361.06, 319.38, 312.75, 331.87, 367.13, 415., 467.94, 525.49,
1764 578.41, 624.66, 794.82, 796.97, 780.29, 736.49, 670.18, 603.75,
1765 659.67, 679.8, 857.12, 884.05, 900.65, 1046.1, 1141.9, 1083.,
1766 1089.2, 1e3, 947.08, 872.31, 787.91, 704.75, 624.93, 553.68,
1767 489.91, 434.21, 385.64, 343.3, 306.42, 274.18, 245.94, 221.11,
1768 199.23, 179.88, 162.73, 147.48, 133.88, 121.73, 110.86, 101.1,
1769 92.323, 84.417, 77.281, 70.831, 64.991, 59.694, 54.884, 50.509,
1770 46.526, 42.893, 39.58, 36.549, 33.776, 31.236, 28.907, 26.77,
1771 24.805, 23., 21.339, 19.81, 18.404, 17.105, 15.909, 14.801,
1772 13.778, 12.83, 11.954, 11.142, 10.389, 9.691, 9.0434, 8.4423,
1773 7.8842, 7.3657, 6.8838, 6.4357, 6.0189, 5.6308, 5.2696, 4.9332,
1774 4.6198, 4.3277, 4.0553, 3.8012, 3.5639, 3.3424, 3.1355, 2.9422,
1775 2.7614, 2.5924, 2.4343, 2.2864, 2.148, 2.0184, 1.8971, 1.7835,
1776 1.677, 1.5773, 1.4838, 1.3961, 1.3139, 1.2369, 1.1645, 1.0966,
1777 1.0329, .97309, .91686, .86406, .81439, .76767, .72381, .68252,
1778 .64359, .60695, .57247, .54008, .50957, .48092, .45401, .42862,
1779 .40465, .38202, .36072, .34052, .3216, .30386, .28711, .27135,
1780 .25651, .24252, .2293, .21689, .20517, .19416, .18381, .17396,
1781 .16469
1782 };
1783
1784 static const double co2230[2001] =
1785 { 2.743e-5, 2.8815e-5, 3.027e-5, 3.1798e-5,
1786 3.3405e-5, 3.5094e-5, 3.6869e-5, 3.8734e-5, 4.0694e-5, 4.2754e-5,
1787 4.492e-5, 4.7196e-5, 4.9588e-5, 5.2103e-5, 5.4747e-5, 5.7525e-5,
1788 6.0446e-5, 6.3516e-5, 6.6744e-5, 7.0137e-5, 7.3704e-5, 7.7455e-5,
1789 8.1397e-5, 8.5543e-5, 8.9901e-5, 9.4484e-5, 9.9302e-5, 1.0437e-4,
1790 1.097e-4, 1.153e-4, 1.2119e-4, 1.2738e-4, 1.3389e-4, 1.4074e-4,
1791 1.4795e-4, 1.5552e-4, 1.6349e-4, 1.7187e-4, 1.8068e-4, 1.8995e-4,
1792 1.997e-4, 2.0996e-4, 2.2075e-4, 2.321e-4, 2.4403e-4, 2.5659e-4,
1793 2.698e-4, 2.837e-4, 2.9832e-4, 3.137e-4, 3.2988e-4, 3.4691e-4,
1794 3.6483e-4, 3.8368e-4, 4.0351e-4, 4.2439e-4, 4.4635e-4, 4.6947e-4,
1795 4.9379e-4, 5.1939e-4, 5.4633e-4, 5.7468e-4, 6.0452e-4, 6.3593e-4,
1796 6.69e-4, 7.038e-4, 7.4043e-4, 7.79e-4, 8.1959e-4, 8.6233e-4,
1797 9.0732e-4, 9.5469e-4, .0010046, .0010571, .0011124, .0011706,
1798 .0012319, .0012964, .0013644, .001436, .0015114, .0015908,
1799 .0016745, .0017625, .0018553, .0019531, .002056, .0021645,
1800 .0022788, .0023992, .002526, .0026596, .0028004, .0029488,
1801 .0031052, .0032699, .0034436, .0036265, .0038194, .0040227,
1802 .0042369, .0044628, .0047008, .0049518, .0052164, .0054953,
1803 .0057894, .0060995, .0064265, .0067713, .007135, .0075184,
1804 .0079228, .0083494, .0087993, .0092738, .0097745, .010303,
1805 .01086, .011448, .012068, .012722, .013413, .014142, .014911,
1806 .015723, .01658, .017484, .018439, .019447, .020511, .021635,
1807 .022821, .024074, .025397, .026794, .02827, .029829, .031475,
1808 .033215, .035052, .036994, .039045, .041213, .043504, .045926,
1809 .048485, .05119, .05405, .057074, .060271, .063651, .067225,
1810 .071006, .075004, .079233, .083708, .088441, .093449, .098749,
1811 .10436, .11029, .11657, .12322, .13026, .13772, .14561, .15397,
1812 .16282, .1722, .18214, .19266, .20381, .21563, .22816, .24143,
1813 .2555, .27043, .28625, .30303, .32082, .3397, .35972, .38097,
1814 .40352, .42746, .45286, .47983, .50847, .53888, .57119, .6055,
1815 .64196, .6807, .72187, .76564, .81217, .86165, .91427, .97025,
1816 1.0298, 1.0932, 1.1606, 1.2324, 1.3088, 1.3902, 1.477, 1.5693,
1817 1.6678, 1.7727, 1.8845, 2.0038, 2.131, 2.2666, 2.4114, 2.5659,
1818 2.7309, 2.907, 3.0951, 3.2961, 3.5109, 3.7405, 3.986, 4.2485,
1819 4.5293, 4.8299, 5.1516, 5.4961, 5.8651, 6.2605, 6.6842, 7.1385,
1820 7.6256, 8.1481, 8.7089, 9.3109, 9.9573, 10.652, 11.398, 12.2,
1821 13.063, 13.992, 14.99, 16.064, 17.222, 18.469, 19.813, 21.263,
1822 22.828, 24.516, 26.34, 28.31, 30.437, 32.738, 35.226, 37.914,
1823 40.824, 43.974, 47.377, 51.061, 55.011, 59.299, 63.961, 69.013,
1824 74.492, 80.444, 86.919, 93.836, 101.23, 109.25, 117.98, 127.47,
1825 137.81, 149.07, 161.35, 174.75, 189.42, 205.49, 223.02, 242.26,
1826 263.45, 286.75, 311.94, 340.01, 370.86, 404.92, 440.44, 480.27,
1827 525.17, 574.71, 626.22, 686.8, 754.38, 827.07, 913.38, 1011.7,
1828 1121.5, 1161.6, 1289.5, 1432.2, 1595.4, 1777., 1983.3, 2216.1,
1829 2485.7, 2788.3, 3101.5, 3481., 3902.1, 4257.1, 4740., 5272.8,
1830 5457.9, 5946.2, 6505.3, 6668.4, 7302.4, 8061.6, 9015.8, 9908.3,
1831 11613., 13956., 3249.6, 3243., 2901.5, 2841.3, 2729.6, 2558.2,
1832 1797.8, 1583.2, 1386., 1233.5, 787.74, 701.46, 761.66, 767.21,
1833 722.83, 1180.6, 1332.1, 1461.6, 2032.9, 2166., 2255.9, 2294.7,
1834 2587.2, 2396.5, 2122.4, 12553., 10784., 9832.5, 8827.3, 8029.1,
1835 7377.9, 7347.1, 6783.8, 6239.1, 5721.1, 5503., 4975.1, 4477.8,
1836 4021.3, 3676.8, 3275.3, 2914.9, 2597.4, 2328.2, 2075.4, 1857.6,
1837 1663.6, 1493.3, 1343.8, 1213.3, 1095.6, 1066.5, 958.91, 865.15,
1838 783.31, 714.35, 650.77, 593.98, 546.2, 499.9, 457.87, 421.75,
1839 387.61, 355.25, 326.62, 299.7, 275.21, 253.17, 232.83, 214.31,
1840 197.5, 182.08, 167.98, 155.12, 143.32, 132.5, 122.58, 113.48,
1841 105.11, 97.415, 90.182, 83.463, 77.281, 71.587, 66.341, 61.493,
1842 57.014, 53.062, 49.21, 45.663, 42.38, 39.348, 36.547, 33.967,
1843 31.573, 29.357, 27.314, 25.415, 23.658, 22.03, 20.524, 19.125,
1844 17.829, 16.627, 15.511, 14.476, 13.514, 12.618, 11.786, 11.013,
1845 10.294, 9.6246, 9.0018, 8.4218, 7.8816, 7.3783, 6.9092, 6.4719,
1846 6.0641, 5.6838, 5.3289, 4.998, 4.6893, 4.4014, 4.1325, 3.8813,
1847 3.6469, 3.4283, 3.2241, 3.035, 2.8576, 2.6922, 2.5348, 2.3896,
1848 2.2535, 2.1258, 2.0059, 1.8929, 1.7862, 1.6854, 1.5898, 1.4992,
1849 1.4017, 1.3218, 1.2479, 1.1809, 1.1215, 1.0693, 1.0116, .96016,
1850 .9105, .84859, .80105, .74381, .69982, .65127, .60899, .57843,
1851 .54592, .51792, .49336, .47155, .45201, .43426, .41807, .40303,
1852 .38876, .3863, .37098, .35492, .33801, .32032, .30341, .29874,
1853 .29193, .28689, .29584, .29155, .29826, .29195, .29287, .2904,
1854 .28199, .27709, .27162, .26622, .26133, .25676, .25235, .23137,
1855 .22365, .21519, .20597, .19636, .18699, .16485, .16262, .16643,
1856 .17542, .18198, .18631, .16759, .16338, .13505, .1267, .10053,
1857 .092554, .074093, .062159, .055523, .054849, .05401, .05528,
1858 .058982, .07952, .08647, .093244, .099285, .10393, .10661,
1859 .12072, .11417, .10396, .093265, .089137, .088909, .10902,
1860 .11277, .13625, .13565, .14907, .14167, .1428, .13744, .12768,
1861 .11382, .10244, .091686, .08109, .071739, .063616, .056579,
1862 .050504, .045251, .040689, .036715, .033237, .030181, .027488,
1863 .025107, .022998, .021125, .01946, .017979, .016661, .015489,
1864 .014448, .013526, .012712, .011998, .011375, .010839, .010384,
1865 .010007, .0097053, .0094783, .0093257, .0092489, .0092504,
1866 .0093346, .0095077, .0097676, .01012, .01058, .011157, .011844,
1867 .012672, .013665, .014766, .015999, .017509, .018972, .020444,
1868 .022311, .023742, .0249, .025599, .026981, .026462, .025143,
1869 .025066, .022814, .020458, .020026, .019142, .020189, .022371,
1870 .024163, .023728, .02199, .019506, .018591, .015576, .012784,
1871 .011744, .0094777, .0079148, .0070652, .006986, .0071758,
1872 .008086, .0098025, .01087, .013609, .016764, .018137, .021061,
1873 .023498, .023576, .023965, .022828, .021519, .021283, .023364,
1874 .026457, .029782, .030856, .033486, .035515, .035543, .036558,
1875 .037198, .037472, .037045, .037284, .03777, .038085, .038366,
1876 .038526, .038282, .038915, .037697, .035667, .032941, .031959,
1877 .028692, .025918, .024596, .025592, .027873, .028935, .02984,
1878 .028148, .025305, .021912, .020454, .016732, .013357, .01205,
1879 .009731, .0079881, .0077704, .0074387, .0083895, .0096776,
1880 .010326, .01293, .015955, .019247, .020145, .02267, .024231,
1881 .024184, .022131, .019784, .01955, .01971, .022119, .025116,
1882 .027978, .028107, .029808, .030701, .029164, .028551, .027286,
1883 .024946, .023259, .020982, .019221, .017471, .015643, .014074,
1884 .01261, .011301, .010116, .0090582, .0081036, .0072542, .0065034,
1885 .0058436, .0052571, .0047321, .0042697, .0038607, .0034977,
1886 .0031747, .0028864, .0026284, .002397, .002189, .0020017,
1887 .0018326, .0016798, .0015414, .0014159, .0013019, .0011983,
1888 .0011039, .0010177, 9.391e-4, 8.6717e-4, 8.0131e-4, 7.4093e-4,
1889 6.8553e-4, 6.3464e-4, 5.8787e-4, 5.4487e-4, 5.0533e-4, 4.69e-4,
1890 4.3556e-4, 4.0474e-4, 3.7629e-4, 3.5e-4, 3.2569e-4, 3.032e-4,
1891 2.8239e-4, 2.6314e-4, 2.4535e-4, 2.2891e-4, 2.1374e-4, 1.9975e-4,
1892 1.8685e-4, 1.7498e-4, 1.6406e-4, 1.5401e-4, 1.4479e-4, 1.3633e-4,
1893 1.2858e-4, 1.2148e-4, 1.1499e-4, 1.0907e-4, 1.0369e-4, 9.8791e-5,
1894 9.4359e-5, 9.0359e-5, 8.6766e-5, 8.3555e-5, 8.0703e-5, 7.8192e-5,
1895 7.6003e-5, 7.4119e-5, 7.2528e-5, 7.1216e-5, 7.0171e-5, 6.9385e-5,
1896 6.8848e-5, 6.8554e-5, 6.8496e-5, 6.8669e-5, 6.9069e-5, 6.9694e-5,
1897 7.054e-5, 7.1608e-5, 7.2896e-5, 7.4406e-5, 7.6139e-5, 7.8097e-5,
1898 8.0283e-5, 8.2702e-5, 8.5357e-5, 8.8255e-5, 9.1402e-5, 9.4806e-5,
1899 9.8473e-5, 1.0241e-4, 1.0664e-4, 1.1115e-4, 1.1598e-4, 1.2112e-4,
1900 1.2659e-4, 1.3241e-4, 1.3859e-4, 1.4515e-4, 1.521e-4, 1.5947e-4,
1901 1.6728e-4, 1.7555e-4, 1.8429e-4, 1.9355e-4, 2.0334e-4, 2.1369e-4,
1902 2.2463e-4, 2.3619e-4, 2.4841e-4, 2.6132e-4, 2.7497e-4, 2.8938e-4,
1903 3.0462e-4, 3.2071e-4, 3.3771e-4, 3.5567e-4, 3.7465e-4, 3.947e-4,
1904 4.1588e-4, 4.3828e-4, 4.6194e-4, 4.8695e-4, 5.1338e-4, 5.4133e-4,
1905 5.7087e-4, 6.0211e-4, 6.3515e-4, 6.701e-4, 7.0706e-4, 7.4617e-4,
1906 7.8756e-4, 8.3136e-4, 8.7772e-4, 9.2681e-4, 9.788e-4, .0010339,
1907 .0010922, .001154, .0012195, .0012889, .0013626, .0014407,
1908 .0015235, .0016114, .0017048, .0018038, .001909, .0020207,
1909 .0021395, .0022657, .0023998, .0025426, .0026944, .002856,
1910 .0030281, .0032114, .0034068, .003615, .0038371, .004074,
1911 .004327, .0045971, .0048857, .0051942, .0055239, .0058766,
1912 .0062538, .0066573, .0070891, .007551, .0080455, .0085747,
1913 .0091412, .0097481, .010397, .011092, .011837, .012638, .013495,
1914 .014415, .01541, .016475, .017621, .018857, .020175, .02162,
1915 .023185, .024876, .02672, .028732, .030916, .033319, .035939,
1916 .038736, .041847, .04524, .048715, .052678, .056977, .061203,
1917 .066184, .07164, .076952, .083477, .090674, .098049, .10697,
1918 .1169, .1277, .14011, .15323, .1684, .18601, .20626, .22831,
1919 .25417, .28407, .31405, .34957, .38823, .41923, .46026, .50409,
1920 .51227, .54805, .57976, .53818, .55056, .557, .46741, .46403,
1921 .4636, .42265, .45166, .49852, .56663, .34306, .17779, .17697,
1922 .18346, .19129, .20014, .21778, .23604, .25649, .28676, .31238,
1923 .33856, .39998, .4288, .46568, .56654, .60786, .64473, .76466,
1924 .7897, .80778, .86443, .85736, .84798, .84157, 1.1385, 1.2446,
1925 1.1923, 1.1552, 1.1338, 1.1266, 1.1292, 1.1431, 1.1683, 1.2059,
1926 1.2521, 1.3069, 1.3712, 1.4471, 1.5275, 1.6165, 1.7145, 1.8189,
1927 1.9359, 2.065, 2.2007, 2.3591, 2.5362, 2.7346, 2.9515, 3.2021,
1928 3.4851, 3.7935, 4.0694, 4.4463, 4.807, 5.2443, 5.7178, 6.2231,
1929 6.4796, 6.9461, 7.4099, 7.3652, 7.7182, 8.048, 7.7373, 8.0363,
1930 8.3855, 8.8044, 9.0257, 9.8574, 10.948, 10.563, 6.8979, 7.0744,
1931 7.4121, 7.7663, 8.1768, 8.6243, 9.1437, 9.7847, 10.182, 10.849,
1932 11.572, 12.602, 13.482, 14.431, 15.907, 16.983, 18.11, 19.884,
1933 21.02, 22.18, 23.355, 24.848, 25.954, 27.13, 30.186, 34.893,
1934 35.682, 36.755, 38.111, 39.703, 41.58, 43.606, 45.868, 48.573,
1935 51.298, 54.291, 57.559, 61.116, 64.964, 69.124, 73.628, 78.471,
1936 83.683, 89.307, 95.341, 101.84, 108.83, 116.36, 124.46, 133.18,
1937 142.57, 152.79, 163.69, 175.43, 188.11, 201.79, 216.55, 232.51,
1938 249.74, 268.38, 288.54, 310.35, 333.97, 359.55, 387.26, 417.3,
1939 449.88, 485.2, 523.54, 565.14, 610.28, 659.31, 712.56, 770.43,
1940 833.36, 901.82, 976.36, 1057.6, 1146.8, 1243.8, 1350., 1466.3,
1941 1593.6, 1732.7, 1884.1, 2049.1, 2228.2, 2421.9, 2629.4, 2853.7,
1942 3094.4, 3351.1, 3622.3, 3829.8, 4123.1, 4438.3, 4777.2, 5144.1,
1943 5545.4, 5990.5, 6404.5, 6996.8, 7687.6, 8482.9, 9349.4, 10203.,
1944 11223., 12358., 13493., 14916., 16416., 18236., 20222., 22501.,
1945 25102., 28358., 31707., 35404., 39538., 43911., 48391., 53193.,
1946 58028., 58082., 61276., 64193., 66294., 67480., 67921., 67423.,
1947 66254., 64341., 51737., 51420., 53072., 58145., 66195., 65358.,
1948 67377., 67869., 53509., 50553., 35737., 32425., 21704., 19974.,
1949 14457., 12142., 16798., 19489., 23049., 27270., 31910., 36457.,
1950 40877., 44748., 47876., 59793., 58626., 55454., 50337., 44893.,
1951 50228., 52216., 54747., 69541., 70455., 81014., 77694., 80533.,
1952 73953., 70927., 65539., 59002., 52281., 45953., 40292., 35360.,
1953 31124., 27478., 24346., 21647., 19308., 17271., 15491., 13927.,
1954 12550., 11331., 10250., 9288.8, 8431.4, 7664.9, 6978.3, 6361.8,
1955 5807.4, 5307.7, 4856.8, 4449., 4079.8, 3744.9, 3440.8, 3164.2,
1956 2912.3, 2682.7, 2473., 2281.4, 2106., 1945.3, 1797.9, 1662.5,
1957 1538.1, 1423.6, 1318.1, 1221., 1131.5, 1049., 972.99, 902.87,
1958 838.01, 777.95, 722.2, 670.44, 622.35, 577.68, 536.21, 497.76,
1959 462.12, 429.13, 398.61, 370.39, 344.29, 320.16, 297.85, 277.2,
1960 258.08, 240.38, 223.97, 208.77, 194.66, 181.58, 169.43, 158.15,
1961 147.67, 137.92, 128.86, 120.44, 112.6, 105.3, 98.499, 92.166,
1962 86.264, 80.763, 75.632, 70.846, 66.381, 62.213, 58.321, 54.685,
1963 51.288, 48.114, 45.145, 42.368, 39.772, 37.341, 35.065, 32.937,
1964 30.943, 29.077, 27.33, 25.693, 24.158, 22.717, 21.367, 20.099,
1965 18.909, 17.792, 16.744, 15.761, 14.838, 13.971, 13.157, 12.393,
1966 11.676, 11.003, 10.369, 9.775, 9.2165, 8.6902, 8.1963, 7.7314,
1967 7.2923, 6.8794, 6.4898, 6.122, 5.7764, 5.4525, 5.1484, 4.8611,
1968 4.5918, 4.3379, 4.0982, 3.8716, 3.6567, 3.4545, 3.2634, 3.0828,
1969 2.9122, 2.7512, 2.5993, 2.4561, 2.3211, 2.1938, 2.0737, 1.9603,
1970 1.8534, 1.7525, 1.6572, 1.5673, 1.4824, 1.4022, 1.3265, 1.2551,
1971 1.1876, 1.1239, 1.0637, 1.0069, .9532, .90248, .85454, .80921,
1972 .76631, .72569, .6872, .65072, .61635, .5836, .55261, .52336,
1973 .49581, .46998, .44559, .42236, .40036, .37929, .35924, .34043,
1974 .32238, .30547, .28931, .27405, .25975, .24616, .23341, .22133,
1975 .20997, .19924, .18917, .17967, .17075, .16211, .15411, .14646,
1976 .13912, .13201, .12509, .11857, .11261, .10698, .10186, .097039,
1977 .092236, .087844, .083443, .07938, .075452, .071564, .067931,
1978 .064389, .061078, .057901, .054921, .052061, .049364, .046789,
1979 .04435, .042044, .039866, .037808, .035863, .034023, .032282,
1980 .030634, .029073, .027595, .026194, .024866, .023608, .022415,
1981 .021283, .02021, .019193, .018228, .017312, .016443, .015619,
1982 .014837, .014094, .01339, .012721, .012086, .011483, .010911,
1983 .010368, .009852, .0093623, .0088972, .0084556, .0080362,
1984 .0076379, .0072596, .0069003, .006559, .0062349, .0059269,
1985 .0056344, .0053565, .0050925, .0048417, .0046034, .004377,
1986 .0041618, .0039575, .0037633, .0035788, .0034034, .0032368,
1987 .0030785, .002928, .0027851, .0026492, .0025201, .0023975,
1988 .0022809, .0021701, .0020649, .0019649, .0018699, .0017796,
1989 .0016938, .0016122, .0015348, .0014612, .0013913, .001325,
1990 .0012619, .0012021, .0011452, .0010913, .0010401, 9.9149e-4,
1991 9.454e-4, 9.0169e-4, 8.6024e-4, 8.2097e-4, 7.8377e-4, 7.4854e-4,
1992 7.1522e-4, 6.8371e-4, 6.5393e-4, 6.2582e-4, 5.9932e-4, 5.7435e-4,
1993 5.5087e-4, 5.2882e-4, 5.0814e-4, 4.8881e-4, 4.7076e-4, 4.5398e-4,
1994 4.3843e-4, 4.2407e-4, 4.109e-4, 3.9888e-4, 3.88e-4, 3.7826e-4,
1995 3.6963e-4, 3.6213e-4, 3.5575e-4, 3.505e-4, 3.464e-4, 3.4346e-4,
1996 3.4173e-4, 3.4125e-4, 3.4206e-4, 3.4424e-4, 3.4787e-4, 3.5303e-4,
1997 3.5986e-4, 3.6847e-4, 3.7903e-4, 3.9174e-4, 4.0681e-4, 4.2455e-4,
1998 4.4527e-4, 4.6942e-4, 4.9637e-4, 5.2698e-4, 5.5808e-4, 5.9514e-4,
1999 6.2757e-4, 6.689e-4, 7.1298e-4, 7.3955e-4, 7.8403e-4, 8.0449e-4,
2000 8.5131e-4, 9.0256e-4, 9.3692e-4, .0010051, .0010846, .0011678,
2001 .001282, .0014016, .0015355, .0016764, .0018272, .0020055,
2002 .0021455, .0023421, .0024615, .0026786, .0028787, .0031259,
2003 .0034046, .0036985, .0040917, .0043902, .0048349, .0049531,
2004 .0052989, .0056148, .0052452, .0053357, .005333, .0045069,
2005 .0043851, .004253, .003738, .0038084, .0039013, .0041505,
2006 .0045372, .0050569, .0054507, .0061267, .0066122, .0072449,
2007 .0078012, .0082651, .0076538, .0076573, .0076806, .0075227,
2008 .0076269, .0063758, .006254, .0067749, .0067909, .0068231,
2009 .0072143, .0072762, .0072954, .007679, .0075107, .0073658,
2010 .0072441, .0071074, .0070378, .007176, .0072472, .0075844,
2011 .0079291, .008412, .0090165, .010688, .011535, .012375, .013166,
2012 .013895, .015567, .016011, .016392, .016737, .017043, .017731,
2013 .018031, .018419, .018877, .019474, .019868, .020604, .021538,
2014 .022653, .023869, .025288, .026879, .028547, .030524, .03274,
2015 .035132, .03769, .040567, .043793, .047188, .049962, .053542,
2016 .057205, .060776, .061489, .064419, .067124, .065945, .068487,
2017 .071209, .074783, .077039, .082444, .08902, .09692, .10617,
2018 .11687, .12952, .12362, .13498, .14412, .15492, .16519, .1744,
2019 .17096, .17714, .18208, .17363, .17813, .18564, .18295, .19045,
2020 .20252, .20815, .21844, .22929, .24229, .25321, .26588, .2797,
2021 .29465, .31136, .32961, .36529, .38486, .41027, .43694, .4667,
2022 .49943, .54542, .58348, .62303, .67633, .71755, .76054, .81371,
2023 .85934, .90841, .96438, 1.0207, 1.0821, 1.1491, 1.2226, 1.3018,
2024 1.388, 1.4818, 1.5835, 1.6939, 1.8137, 1.9435, 2.0843, 2.237,
2025 2.4026, 2.5818, 2.7767, 2.9885, 3.2182, 3.4679, 3.7391, 4.0349,
2026 4.3554, 4.7053, 5.0849, 5.4986, 5.9436, 6.4294, 6.9598, 7.5203,
2027 8.143, 8.8253, 9.5568, 10.371, 11.267, 12.233, 13.31, 14.357,
2028 15.598, 16.93, 18.358, 19.849, 21.408, 23.04, 24.706, 26.409,
2029 28.153, 28.795, 30.549, 32.43, 34.49, 36.027, 38.955, 42.465,
2030 46.565, 50.875, 55.378, 59.002, 63.882, 67.949, 73.693, 80.095,
2031 86.403, 94.264, 102.65, 112.37, 123.3, 135.54, 149.14, 163.83,
2032 179.17, 196.89, 217.91, 240.94, 264.13, 292.39, 324.83, 358.21,
2033 397.16, 440.5, 488.6, 541.04, 595.3, 650.43, 652.03, 688.74,
2034 719.47, 743.54, 757.68, 762.35, 756.43, 741.42, 595.43, 580.97,
2035 580.83, 605.68, 667.88, 764.49, 759.93, 789.12, 798.17, 645.66,
2036 615.65, 455.05, 421.09, 306.45, 289.14, 235.7, 215.52, 274.57,
2037 316.53, 357.73, 409.89, 465.06, 521.84, 579.02, 630.64, 794.46,
2038 813., 813.56, 796.25, 761.57, 727.97, 812.14, 866.75, 932.5,
2039 1132.8, 1194.8, 1362.2, 1387.2, 1482.3, 1479.7, 1517.9, 1533.1,
2040 1534.2, 1523.3, 1522.5, 1515.5, 1505.2, 1486.5, 1454., 1412.,
2041 1358.8, 1107.8, 1060.9, 1033.5, 1048.2, 1122.4, 1248.9, 1227.1,
2042 1255.4, 1058.9, 1020.7, 970.59, 715.24, 512.56, 468.47, 349.3,
2043 338.26, 299.22, 301.26, 332.38, 382.08, 445.49, 515.87, 590.85,
2044 662.3, 726.05, 955.59, 964.11, 945.17, 891.48, 807.11, 720.9,
2045 803.36, 834.46, 1073.9, 1107.1, 1123.6, 1296., 1393.7, 1303.1,
2046 1284.3, 1161.8, 1078.8, 976.13, 868.72, 767.4, 674.72, 593.73,
2047 523.12, 462.24, 409.75, 364.34, 325., 290.73, 260.76, 234.46,
2048 211.28, 190.78, 172.61, 156.44, 142.01, 129.12, 117.57, 107.2,
2049 97.877, 89.47, 81.882, 75.021, 68.807, 63.171, 58.052, 53.396,
2050 49.155, 45.288, 41.759, 38.531, 35.576, 32.868, 30.384, 28.102,
2051 26.003, 24.071, 22.293, 20.655, 19.147, 17.756, 16.476, 15.292,
2052 14.198, 13.183, 12.241, 11.367, 10.554, 9.7989, 9.0978, 8.4475,
2053 7.845, 7.2868, 6.7704, 6.2927, 5.8508, 5.4421, 5.064, 4.714,
2054 4.3902, 4.0902, 3.8121, 3.5543, 3.315, 3.093, 2.8869, 2.6953,
2055 2.5172, 2.3517, 2.1977, 2.0544, 1.9211, 1.7969, 1.6812, 1.5735,
2056 1.4731, 1.3794, 1.2921, 1.2107, 1.1346, 1.0637, .99744, .93554,
2057 .87771, .82368, .77313, .72587, .6816, .64014, .60134, .565,
2058 .53086, .49883, .46881, .44074, .4144, .38979, .36679, .34513,
2059 .32474, .30552, .28751, .27045, .25458, .23976, .22584, .21278,
2060 .20051, .18899, .17815, .16801, .15846, .14954, .14117, .13328,
2061 .12584
2062 };
2063
2064 /* Get CO2 continuum absorption... */
2065 const double xw = nu / 2 + 1;
2066 if (xw >= 1 && xw < 2001) {
2067 const int iw = (int) xw;
2068 const double dw = xw - iw;
2069 const double ew = 1 - dw;
2070 const double cw296 = ew * co2296[iw - 1] + dw * co2296[iw];
2071 const double cw260 = ew * co2260[iw - 1] + dw * co2260[iw];
2072 const double cw230 = ew * co2230[iw - 1] + dw * co2230[iw];
2073 const double dt230 = t - 230;
2074 const double dt260 = t - 260;
2075 const double dt296 = t - 296;
2076 const double ctw =
2077 dt260 * 5.050505e-4 * dt296 * cw230 -
2078 dt230 * 9.259259e-4 * dt296 * cw260 +
2079 dt230 * 4.208754e-4 * dt260 * cw296;
2080 return u / NA / 1000 * p / P0 * ctw;
2081 } else
2082 return 0;
2083}
#define P0
Standard pressure [hPa].
Definition: jurassic.h:219
#define NA
Avogadro's number.
Definition: jurassic.h:204

◆ 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 2087 of file jurassic.c.

2092 {
2093
2094 static const double h2o296[2001] =
2095 { .17, .1695, .172, .168, .1687, .1624, .1606,
2096 .1508, .1447, .1344, .1214, .1133, .1009, .09217, .08297, .06989,
2097 .06513, .05469, .05056, .04417, .03779, .03484, .02994, .0272,
2098 .02325, .02063, .01818, .01592, .01405, .01251, .0108, .009647,
2099 .008424, .007519, .006555, .00588, .005136, .004511, .003989,
2100 .003509, .003114, .00274, .002446, .002144, .001895, .001676,
2101 .001486, .001312, .001164, .001031, 9.129e-4, 8.106e-4, 7.213e-4,
2102 6.4e-4, 5.687e-4, 5.063e-4, 4.511e-4, 4.029e-4, 3.596e-4,
2103 3.22e-4, 2.889e-4, 2.597e-4, 2.337e-4, 2.108e-4, 1.907e-4,
2104 1.728e-4, 1.57e-4, 1.43e-4, 1.305e-4, 1.195e-4, 1.097e-4,
2105 1.009e-4, 9.307e-5, 8.604e-5, 7.971e-5, 7.407e-5, 6.896e-5,
2106 6.433e-5, 6.013e-5, 5.631e-5, 5.283e-5, 4.963e-5, 4.669e-5,
2107 4.398e-5, 4.148e-5, 3.917e-5, 3.702e-5, 3.502e-5, 3.316e-5,
2108 3.142e-5, 2.978e-5, 2.825e-5, 2.681e-5, 2.546e-5, 2.419e-5,
2109 2.299e-5, 2.186e-5, 2.079e-5, 1.979e-5, 1.884e-5, 1.795e-5,
2110 1.711e-5, 1.633e-5, 1.559e-5, 1.49e-5, 1.426e-5, 1.367e-5,
2111 1.312e-5, 1.263e-5, 1.218e-5, 1.178e-5, 1.143e-5, 1.112e-5,
2112 1.088e-5, 1.07e-5, 1.057e-5, 1.05e-5, 1.051e-5, 1.059e-5,
2113 1.076e-5, 1.1e-5, 1.133e-5, 1.18e-5, 1.237e-5, 1.308e-5,
2114 1.393e-5, 1.483e-5, 1.614e-5, 1.758e-5, 1.93e-5, 2.123e-5,
2115 2.346e-5, 2.647e-5, 2.93e-5, 3.279e-5, 3.745e-5, 4.152e-5,
2116 4.813e-5, 5.477e-5, 6.203e-5, 7.331e-5, 8.056e-5, 9.882e-5,
2117 1.05e-4, 1.21e-4, 1.341e-4, 1.572e-4, 1.698e-4, 1.968e-4,
2118 2.175e-4, 2.431e-4, 2.735e-4, 2.867e-4, 3.19e-4, 3.371e-4,
2119 3.554e-4, 3.726e-4, 3.837e-4, 3.878e-4, 3.864e-4, 3.858e-4,
2120 3.841e-4, 3.852e-4, 3.815e-4, 3.762e-4, 3.618e-4, 3.579e-4,
2121 3.45e-4, 3.202e-4, 3.018e-4, 2.785e-4, 2.602e-4, 2.416e-4,
2122 2.097e-4, 1.939e-4, 1.689e-4, 1.498e-4, 1.308e-4, 1.17e-4,
2123 1.011e-4, 9.237e-5, 7.909e-5, 7.006e-5, 6.112e-5, 5.401e-5,
2124 4.914e-5, 4.266e-5, 3.963e-5, 3.316e-5, 3.037e-5, 2.598e-5,
2125 2.294e-5, 2.066e-5, 1.813e-5, 1.583e-5, 1.423e-5, 1.247e-5,
2126 1.116e-5, 9.76e-6, 8.596e-6, 7.72e-6, 6.825e-6, 6.108e-6,
2127 5.366e-6, 4.733e-6, 4.229e-6, 3.731e-6, 3.346e-6, 2.972e-6,
2128 2.628e-6, 2.356e-6, 2.102e-6, 1.878e-6, 1.678e-6, 1.507e-6,
2129 1.348e-6, 1.21e-6, 1.089e-6, 9.806e-7, 8.857e-7, 8.004e-7,
2130 7.261e-7, 6.599e-7, 6.005e-7, 5.479e-7, 5.011e-7, 4.595e-7,
2131 4.219e-7, 3.885e-7, 3.583e-7, 3.314e-7, 3.071e-7, 2.852e-7,
2132 2.654e-7, 2.474e-7, 2.311e-7, 2.162e-7, 2.026e-7, 1.902e-7,
2133 1.788e-7, 1.683e-7, 1.587e-7, 1.497e-7, 1.415e-7, 1.338e-7,
2134 1.266e-7, 1.2e-7, 1.138e-7, 1.08e-7, 1.027e-7, 9.764e-8,
2135 9.296e-8, 8.862e-8, 8.458e-8, 8.087e-8, 7.744e-8, 7.429e-8,
2136 7.145e-8, 6.893e-8, 6.664e-8, 6.468e-8, 6.322e-8, 6.162e-8,
2137 6.07e-8, 5.992e-8, 5.913e-8, 5.841e-8, 5.796e-8, 5.757e-8,
2138 5.746e-8, 5.731e-8, 5.679e-8, 5.577e-8, 5.671e-8, 5.656e-8,
2139 5.594e-8, 5.593e-8, 5.602e-8, 5.62e-8, 5.693e-8, 5.725e-8,
2140 5.858e-8, 6.037e-8, 6.249e-8, 6.535e-8, 6.899e-8, 7.356e-8,
2141 7.918e-8, 8.618e-8, 9.385e-8, 1.039e-7, 1.158e-7, 1.29e-7,
2142 1.437e-7, 1.65e-7, 1.871e-7, 2.121e-7, 2.427e-7, 2.773e-7,
2143 3.247e-7, 3.677e-7, 4.037e-7, 4.776e-7, 5.101e-7, 6.214e-7,
2144 6.936e-7, 7.581e-7, 8.486e-7, 9.355e-7, 9.942e-7, 1.063e-6,
2145 1.123e-6, 1.191e-6, 1.215e-6, 1.247e-6, 1.26e-6, 1.271e-6,
2146 1.284e-6, 1.317e-6, 1.323e-6, 1.349e-6, 1.353e-6, 1.362e-6,
2147 1.344e-6, 1.329e-6, 1.336e-6, 1.327e-6, 1.325e-6, 1.359e-6,
2148 1.374e-6, 1.415e-6, 1.462e-6, 1.526e-6, 1.619e-6, 1.735e-6,
2149 1.863e-6, 2.034e-6, 2.265e-6, 2.482e-6, 2.756e-6, 3.103e-6,
2150 3.466e-6, 3.832e-6, 4.378e-6, 4.913e-6, 5.651e-6, 6.311e-6,
2151 7.169e-6, 8.057e-6, 9.253e-6, 1.047e-5, 1.212e-5, 1.36e-5,
2152 1.569e-5, 1.776e-5, 2.02e-5, 2.281e-5, 2.683e-5, 2.994e-5,
2153 3.488e-5, 3.896e-5, 4.499e-5, 5.175e-5, 6.035e-5, 6.34e-5,
2154 7.281e-5, 7.923e-5, 8.348e-5, 9.631e-5, 1.044e-4, 1.102e-4,
2155 1.176e-4, 1.244e-4, 1.283e-4, 1.326e-4, 1.4e-4, 1.395e-4,
2156 1.387e-4, 1.363e-4, 1.314e-4, 1.241e-4, 1.228e-4, 1.148e-4,
2157 1.086e-4, 1.018e-4, 8.89e-5, 8.316e-5, 7.292e-5, 6.452e-5,
2158 5.625e-5, 5.045e-5, 4.38e-5, 3.762e-5, 3.29e-5, 2.836e-5,
2159 2.485e-5, 2.168e-5, 1.895e-5, 1.659e-5, 1.453e-5, 1.282e-5,
2160 1.132e-5, 1.001e-5, 8.836e-6, 7.804e-6, 6.922e-6, 6.116e-6,
2161 5.429e-6, 4.824e-6, 4.278e-6, 3.788e-6, 3.371e-6, 2.985e-6,
2162 2.649e-6, 2.357e-6, 2.09e-6, 1.858e-6, 1.647e-6, 1.462e-6,
2163 1.299e-6, 1.155e-6, 1.028e-6, 9.142e-7, 8.132e-7, 7.246e-7,
2164 6.451e-7, 5.764e-7, 5.151e-7, 4.603e-7, 4.121e-7, 3.694e-7,
2165 3.318e-7, 2.985e-7, 2.69e-7, 2.428e-7, 2.197e-7, 1.992e-7,
2166 1.81e-7, 1.649e-7, 1.506e-7, 1.378e-7, 1.265e-7, 1.163e-7,
2167 1.073e-7, 9.918e-8, 9.191e-8, 8.538e-8, 7.949e-8, 7.419e-8,
2168 6.94e-8, 6.508e-8, 6.114e-8, 5.761e-8, 5.437e-8, 5.146e-8,
2169 4.89e-8, 4.636e-8, 4.406e-8, 4.201e-8, 4.015e-8, 3.84e-8,
2170 3.661e-8, 3.51e-8, 3.377e-8, 3.242e-8, 3.13e-8, 3.015e-8,
2171 2.918e-8, 2.83e-8, 2.758e-8, 2.707e-8, 2.656e-8, 2.619e-8,
2172 2.609e-8, 2.615e-8, 2.63e-8, 2.675e-8, 2.745e-8, 2.842e-8,
2173 2.966e-8, 3.125e-8, 3.318e-8, 3.565e-8, 3.85e-8, 4.191e-8,
2174 4.59e-8, 5.059e-8, 5.607e-8, 6.239e-8, 6.958e-8, 7.796e-8,
2175 8.773e-8, 9.88e-8, 1.114e-7, 1.258e-7, 1.422e-7, 1.61e-7,
2176 1.822e-7, 2.06e-7, 2.337e-7, 2.645e-7, 2.996e-7, 3.393e-7,
2177 3.843e-7, 4.363e-7, 4.935e-7, 5.607e-7, 6.363e-7, 7.242e-7,
2178 8.23e-7, 9.411e-7, 1.071e-6, 1.232e-6, 1.402e-6, 1.6e-6, 1.82e-6,
2179 2.128e-6, 2.386e-6, 2.781e-6, 3.242e-6, 3.653e-6, 4.323e-6,
2180 4.747e-6, 5.321e-6, 5.919e-6, 6.681e-6, 7.101e-6, 7.983e-6,
2181 8.342e-6, 8.741e-6, 9.431e-6, 9.952e-6, 1.026e-5, 1.055e-5,
2182 1.095e-5, 1.095e-5, 1.087e-5, 1.056e-5, 1.026e-5, 9.715e-6,
2183 9.252e-6, 8.452e-6, 7.958e-6, 7.268e-6, 6.295e-6, 6.003e-6, 5e-6,
2184 4.591e-6, 3.983e-6, 3.479e-6, 3.058e-6, 2.667e-6, 2.293e-6,
2185 1.995e-6, 1.747e-6, 1.517e-6, 1.335e-6, 1.165e-6, 1.028e-6,
2186 9.007e-7, 7.956e-7, 7.015e-7, 6.192e-7, 5.491e-7, 4.859e-7,
2187 4.297e-7, 3.799e-7, 3.38e-7, 3.002e-7, 2.659e-7, 2.366e-7,
2188 2.103e-7, 1.861e-7, 1.655e-7, 1.469e-7, 1.309e-7, 1.162e-7,
2189 1.032e-7, 9.198e-8, 8.181e-8, 7.294e-8, 6.516e-8, 5.787e-8,
2190 5.163e-8, 4.612e-8, 4.119e-8, 3.695e-8, 3.308e-8, 2.976e-8,
2191 2.67e-8, 2.407e-8, 2.171e-8, 1.965e-8, 1.78e-8, 1.617e-8,
2192 1.47e-8, 1.341e-8, 1.227e-8, 1.125e-8, 1.033e-8, 9.524e-9,
2193 8.797e-9, 8.162e-9, 7.565e-9, 7.04e-9, 6.56e-9, 6.129e-9,
2194 5.733e-9, 5.376e-9, 5.043e-9, 4.75e-9, 4.466e-9, 4.211e-9,
2195 3.977e-9, 3.759e-9, 3.558e-9, 3.373e-9, 3.201e-9, 3.043e-9,
2196 2.895e-9, 2.76e-9, 2.635e-9, 2.518e-9, 2.411e-9, 2.314e-9,
2197 2.23e-9, 2.151e-9, 2.087e-9, 2.035e-9, 1.988e-9, 1.946e-9,
2198 1.927e-9, 1.916e-9, 1.916e-9, 1.933e-9, 1.966e-9, 2.018e-9,
2199 2.09e-9, 2.182e-9, 2.299e-9, 2.442e-9, 2.623e-9, 2.832e-9,
2200 3.079e-9, 3.368e-9, 3.714e-9, 4.104e-9, 4.567e-9, 5.091e-9,
2201 5.701e-9, 6.398e-9, 7.194e-9, 8.127e-9, 9.141e-9, 1.035e-8,
2202 1.177e-8, 1.338e-8, 1.508e-8, 1.711e-8, 1.955e-8, 2.216e-8,
2203 2.534e-8, 2.871e-8, 3.291e-8, 3.711e-8, 4.285e-8, 4.868e-8,
2204 5.509e-8, 6.276e-8, 7.262e-8, 8.252e-8, 9.4e-8, 1.064e-7,
2205 1.247e-7, 1.411e-7, 1.626e-7, 1.827e-7, 2.044e-7, 2.284e-7,
2206 2.452e-7, 2.854e-7, 3.026e-7, 3.278e-7, 3.474e-7, 3.693e-7,
2207 3.93e-7, 4.104e-7, 4.22e-7, 4.439e-7, 4.545e-7, 4.778e-7,
2208 4.812e-7, 5.018e-7, 4.899e-7, 5.075e-7, 5.073e-7, 5.171e-7,
2209 5.131e-7, 5.25e-7, 5.617e-7, 5.846e-7, 6.239e-7, 6.696e-7,
2210 7.398e-7, 8.073e-7, 9.15e-7, 1.009e-6, 1.116e-6, 1.264e-6,
2211 1.439e-6, 1.644e-6, 1.856e-6, 2.147e-6, 2.317e-6, 2.713e-6,
2212 2.882e-6, 2.99e-6, 3.489e-6, 3.581e-6, 4.033e-6, 4.26e-6,
2213 4.543e-6, 4.84e-6, 4.826e-6, 5.013e-6, 5.252e-6, 5.277e-6,
2214 5.306e-6, 5.236e-6, 5.123e-6, 5.171e-6, 4.843e-6, 4.615e-6,
2215 4.385e-6, 3.97e-6, 3.693e-6, 3.231e-6, 2.915e-6, 2.495e-6,
2216 2.144e-6, 1.91e-6, 1.639e-6, 1.417e-6, 1.226e-6, 1.065e-6,
2217 9.29e-7, 8.142e-7, 7.161e-7, 6.318e-7, 5.581e-7, 4.943e-7,
2218 4.376e-7, 3.884e-7, 3.449e-7, 3.06e-7, 2.712e-7, 2.412e-7,
2219 2.139e-7, 1.903e-7, 1.689e-7, 1.499e-7, 1.331e-7, 1.183e-7,
2220 1.05e-7, 9.362e-8, 8.306e-8, 7.403e-8, 6.578e-8, 5.853e-8,
2221 5.216e-8, 4.632e-8, 4.127e-8, 3.678e-8, 3.279e-8, 2.923e-8,
2222 2.612e-8, 2.339e-8, 2.094e-8, 1.877e-8, 1.686e-8, 1.516e-8,
2223 1.366e-8, 1.234e-8, 1.114e-8, 1.012e-8, 9.182e-9, 8.362e-9,
2224 7.634e-9, 6.981e-9, 6.406e-9, 5.888e-9, 5.428e-9, 5.021e-9,
2225 4.65e-9, 4.326e-9, 4.033e-9, 3.77e-9, 3.536e-9, 3.327e-9,
2226 3.141e-9, 2.974e-9, 2.825e-9, 2.697e-9, 2.584e-9, 2.488e-9,
2227 2.406e-9, 2.34e-9, 2.292e-9, 2.259e-9, 2.244e-9, 2.243e-9,
2228 2.272e-9, 2.31e-9, 2.378e-9, 2.454e-9, 2.618e-9, 2.672e-9,
2229 2.831e-9, 3.05e-9, 3.225e-9, 3.425e-9, 3.677e-9, 3.968e-9,
2230 4.221e-9, 4.639e-9, 4.96e-9, 5.359e-9, 5.649e-9, 6.23e-9,
2231 6.716e-9, 7.218e-9, 7.746e-9, 7.988e-9, 8.627e-9, 8.999e-9,
2232 9.442e-9, 9.82e-9, 1.015e-8, 1.06e-8, 1.079e-8, 1.109e-8,
2233 1.137e-8, 1.186e-8, 1.18e-8, 1.187e-8, 1.194e-8, 1.192e-8,
2234 1.224e-8, 1.245e-8, 1.246e-8, 1.318e-8, 1.377e-8, 1.471e-8,
2235 1.582e-8, 1.713e-8, 1.853e-8, 2.063e-8, 2.27e-8, 2.567e-8,
2236 2.891e-8, 3.264e-8, 3.744e-8, 4.286e-8, 4.915e-8, 5.623e-8,
2237 6.336e-8, 7.293e-8, 8.309e-8, 9.319e-8, 1.091e-7, 1.243e-7,
2238 1.348e-7, 1.449e-7, 1.62e-7, 1.846e-7, 1.937e-7, 2.04e-7,
2239 2.179e-7, 2.298e-7, 2.433e-7, 2.439e-7, 2.464e-7, 2.611e-7,
2240 2.617e-7, 2.582e-7, 2.453e-7, 2.401e-7, 2.349e-7, 2.203e-7,
2241 2.066e-7, 1.939e-7, 1.78e-7, 1.558e-7, 1.391e-7, 1.203e-7,
2242 1.048e-7, 9.464e-8, 8.306e-8, 7.239e-8, 6.317e-8, 5.52e-8,
2243 4.847e-8, 4.282e-8, 3.796e-8, 3.377e-8, 2.996e-8, 2.678e-8,
2244 2.4e-8, 2.134e-8, 1.904e-8, 1.705e-8, 1.523e-8, 1.35e-8,
2245 1.204e-8, 1.07e-8, 9.408e-9, 8.476e-9, 7.47e-9, 6.679e-9,
2246 5.929e-9, 5.267e-9, 4.711e-9, 4.172e-9, 3.761e-9, 3.288e-9,
2247 2.929e-9, 2.609e-9, 2.315e-9, 2.042e-9, 1.844e-9, 1.64e-9,
2248 1.47e-9, 1.31e-9, 1.176e-9, 1.049e-9, 9.377e-10, 8.462e-10,
2249 7.616e-10, 6.854e-10, 6.191e-10, 5.596e-10, 5.078e-10, 4.611e-10,
2250 4.197e-10, 3.83e-10, 3.505e-10, 3.215e-10, 2.956e-10, 2.726e-10,
2251 2.521e-10, 2.338e-10, 2.173e-10, 2.026e-10, 1.895e-10, 1.777e-10,
2252 1.672e-10, 1.579e-10, 1.496e-10, 1.423e-10, 1.358e-10, 1.302e-10,
2253 1.254e-10, 1.216e-10, 1.187e-10, 1.163e-10, 1.147e-10, 1.145e-10,
2254 1.15e-10, 1.17e-10, 1.192e-10, 1.25e-10, 1.298e-10, 1.345e-10,
2255 1.405e-10, 1.538e-10, 1.648e-10, 1.721e-10, 1.872e-10, 1.968e-10,
2256 2.089e-10, 2.172e-10, 2.317e-10, 2.389e-10, 2.503e-10, 2.585e-10,
2257 2.686e-10, 2.8e-10, 2.895e-10, 3.019e-10, 3.037e-10, 3.076e-10,
2258 3.146e-10, 3.198e-10, 3.332e-10, 3.397e-10, 3.54e-10, 3.667e-10,
2259 3.895e-10, 4.071e-10, 4.565e-10, 4.983e-10, 5.439e-10, 5.968e-10,
2260 6.676e-10, 7.456e-10, 8.405e-10, 9.478e-10, 1.064e-9, 1.218e-9,
2261 1.386e-9, 1.581e-9, 1.787e-9, 2.032e-9, 2.347e-9, 2.677e-9,
2262 3.008e-9, 3.544e-9, 4.056e-9, 4.687e-9, 5.331e-9, 6.227e-9,
2263 6.854e-9, 8.139e-9, 8.945e-9, 9.865e-9, 1.125e-8, 1.178e-8,
2264 1.364e-8, 1.436e-8, 1.54e-8, 1.672e-8, 1.793e-8, 1.906e-8,
2265 2.036e-8, 2.144e-8, 2.292e-8, 2.371e-8, 2.493e-8, 2.606e-8,
2266 2.706e-8, 2.866e-8, 3.036e-8, 3.136e-8, 3.405e-8, 3.665e-8,
2267 3.837e-8, 4.229e-8, 4.748e-8, 5.32e-8, 5.763e-8, 6.677e-8,
2268 7.216e-8, 7.716e-8, 8.958e-8, 9.419e-8, 1.036e-7, 1.108e-7,
2269 1.189e-7, 1.246e-7, 1.348e-7, 1.31e-7, 1.361e-7, 1.364e-7,
2270 1.363e-7, 1.343e-7, 1.293e-7, 1.254e-7, 1.235e-7, 1.158e-7,
2271 1.107e-7, 9.961e-8, 9.011e-8, 7.91e-8, 6.916e-8, 6.338e-8,
2272 5.564e-8, 4.827e-8, 4.198e-8, 3.695e-8, 3.276e-8, 2.929e-8,
2273 2.633e-8, 2.391e-8, 2.192e-8, 2.021e-8, 1.89e-8, 1.772e-8,
2274 1.667e-8, 1.603e-8, 1.547e-8, 1.537e-8, 1.492e-8, 1.515e-8,
2275 1.479e-8, 1.45e-8, 1.513e-8, 1.495e-8, 1.529e-8, 1.565e-8,
2276 1.564e-8, 1.553e-8, 1.569e-8, 1.584e-8, 1.57e-8, 1.538e-8,
2277 1.513e-8, 1.472e-8, 1.425e-8, 1.349e-8, 1.328e-8, 1.249e-8,
2278 1.17e-8, 1.077e-8, 9.514e-9, 8.614e-9, 7.46e-9, 6.621e-9,
2279 5.775e-9, 5.006e-9, 4.308e-9, 3.747e-9, 3.24e-9, 2.84e-9,
2280 2.481e-9, 2.184e-9, 1.923e-9, 1.71e-9, 1.504e-9, 1.334e-9,
2281 1.187e-9, 1.053e-9, 9.367e-10, 8.306e-10, 7.419e-10, 6.63e-10,
2282 5.918e-10, 5.277e-10, 4.717e-10, 4.222e-10, 3.783e-10, 3.39e-10,
2283 3.036e-10, 2.729e-10, 2.455e-10, 2.211e-10, 1.995e-10, 1.804e-10,
2284 1.635e-10, 1.485e-10, 1.355e-10, 1.24e-10, 1.139e-10, 1.051e-10,
2285 9.757e-11, 9.114e-11, 8.577e-11, 8.139e-11, 7.792e-11, 7.52e-11,
2286 7.39e-11, 7.311e-11, 7.277e-11, 7.482e-11, 7.698e-11, 8.162e-11,
2287 8.517e-11, 8.968e-11, 9.905e-11, 1.075e-10, 1.187e-10, 1.291e-10,
2288 1.426e-10, 1.573e-10, 1.734e-10, 1.905e-10, 2.097e-10, 2.28e-10,
2289 2.473e-10, 2.718e-10, 2.922e-10, 3.128e-10, 3.361e-10, 3.641e-10,
2290 3.91e-10, 4.196e-10, 4.501e-10, 4.932e-10, 5.258e-10, 5.755e-10,
2291 6.253e-10, 6.664e-10, 7.344e-10, 7.985e-10, 8.877e-10, 1.005e-9,
2292 1.118e-9, 1.251e-9, 1.428e-9, 1.61e-9, 1.888e-9, 2.077e-9,
2293 2.331e-9, 2.751e-9, 3.061e-9, 3.522e-9, 3.805e-9, 4.181e-9,
2294 4.575e-9, 5.167e-9, 5.634e-9, 6.007e-9, 6.501e-9, 6.829e-9,
2295 7.211e-9, 7.262e-9, 7.696e-9, 7.832e-9, 7.799e-9, 7.651e-9,
2296 7.304e-9, 7.15e-9, 6.977e-9, 6.603e-9, 6.209e-9, 5.69e-9,
2297 5.432e-9, 4.764e-9, 4.189e-9, 3.64e-9, 3.203e-9, 2.848e-9,
2298 2.51e-9, 2.194e-9, 1.946e-9, 1.75e-9, 1.567e-9, 1.426e-9,
2299 1.302e-9, 1.197e-9, 1.109e-9, 1.035e-9, 9.719e-10, 9.207e-10,
2300 8.957e-10, 8.578e-10, 8.262e-10, 8.117e-10, 7.987e-10, 7.875e-10,
2301 7.741e-10, 7.762e-10, 7.537e-10, 7.424e-10, 7.474e-10, 7.294e-10,
2302 7.216e-10, 7.233e-10, 7.075e-10, 6.892e-10, 6.618e-10, 6.314e-10,
2303 6.208e-10, 5.689e-10, 5.55e-10, 4.984e-10, 4.6e-10, 4.078e-10,
2304 3.879e-10, 3.459e-10, 2.982e-10, 2.626e-10, 2.329e-10, 1.988e-10,
2305 1.735e-10, 1.487e-10, 1.297e-10, 1.133e-10, 9.943e-11, 8.736e-11,
2306 7.726e-11, 6.836e-11, 6.053e-11, 5.384e-11, 4.789e-11, 4.267e-11,
2307 3.804e-11, 3.398e-11, 3.034e-11, 2.71e-11, 2.425e-11, 2.173e-11,
2308 1.95e-11, 1.752e-11, 1.574e-11, 1.418e-11, 1.278e-11, 1.154e-11,
2309 1.044e-11, 9.463e-12, 8.602e-12, 7.841e-12, 7.171e-12, 6.584e-12,
2310 6.073e-12, 5.631e-12, 5.254e-12, 4.937e-12, 4.679e-12, 4.476e-12,
2311 4.328e-12, 4.233e-12, 4.194e-12, 4.211e-12, 4.286e-12, 4.424e-12,
2312 4.628e-12, 4.906e-12, 5.262e-12, 5.708e-12, 6.254e-12, 6.914e-12,
2313 7.714e-12, 8.677e-12, 9.747e-12, 1.101e-11, 1.256e-11, 1.409e-11,
2314 1.597e-11, 1.807e-11, 2.034e-11, 2.316e-11, 2.622e-11, 2.962e-11,
2315 3.369e-11, 3.819e-11, 4.329e-11, 4.932e-11, 5.589e-11, 6.364e-11,
2316 7.284e-11, 8.236e-11, 9.447e-11, 1.078e-10, 1.229e-10, 1.417e-10,
2317 1.614e-10, 1.843e-10, 2.107e-10, 2.406e-10, 2.728e-10, 3.195e-10,
2318 3.595e-10, 4.153e-10, 4.736e-10, 5.41e-10, 6.088e-10, 6.769e-10,
2319 7.691e-10, 8.545e-10, 9.621e-10, 1.047e-9, 1.161e-9, 1.296e-9,
2320 1.424e-9, 1.576e-9, 1.739e-9, 1.893e-9, 2.08e-9, 2.336e-9,
2321 2.604e-9, 2.76e-9, 3.001e-9, 3.365e-9, 3.55e-9, 3.895e-9,
2322 4.183e-9, 4.614e-9, 4.846e-9, 5.068e-9, 5.427e-9, 5.541e-9,
2323 5.864e-9, 5.997e-9, 5.997e-9, 6.061e-9, 5.944e-9, 5.855e-9,
2324 5.661e-9, 5.523e-9, 5.374e-9, 4.94e-9, 4.688e-9, 4.17e-9,
2325 3.913e-9, 3.423e-9, 2.997e-9, 2.598e-9, 2.253e-9, 1.946e-9,
2326 1.71e-9, 1.507e-9, 1.336e-9, 1.19e-9, 1.068e-9, 9.623e-10,
2327 8.772e-10, 8.007e-10, 7.42e-10, 6.884e-10, 6.483e-10, 6.162e-10,
2328 5.922e-10, 5.688e-10, 5.654e-10, 5.637e-10, 5.701e-10, 5.781e-10,
2329 5.874e-10, 6.268e-10, 6.357e-10, 6.525e-10, 7.137e-10, 7.441e-10,
2330 8.024e-10, 8.485e-10, 9.143e-10, 9.536e-10, 9.717e-10, 1.018e-9,
2331 1.042e-9, 1.054e-9, 1.092e-9, 1.079e-9, 1.064e-9, 1.043e-9,
2332 1.02e-9, 9.687e-10, 9.273e-10, 9.208e-10, 9.068e-10, 7.687e-10,
2333 7.385e-10, 6.595e-10, 5.87e-10, 5.144e-10, 4.417e-10, 3.804e-10,
2334 3.301e-10, 2.866e-10, 2.509e-10, 2.202e-10, 1.947e-10, 1.719e-10,
2335 1.525e-10, 1.361e-10, 1.21e-10, 1.084e-10, 9.8e-11, 8.801e-11,
2336 7.954e-11, 7.124e-11, 6.335e-11, 5.76e-11, 5.132e-11, 4.601e-11,
2337 4.096e-11, 3.657e-11, 3.25e-11, 2.909e-11, 2.587e-11, 2.297e-11,
2338 2.05e-11, 1.828e-11, 1.632e-11, 1.462e-11, 1.314e-11, 1.185e-11,
2339 1.073e-11, 9.76e-12, 8.922e-12, 8.206e-12, 7.602e-12, 7.1e-12,
2340 6.694e-12, 6.378e-12, 6.149e-12, 6.004e-12, 5.941e-12, 5.962e-12,
2341 6.069e-12, 6.265e-12, 6.551e-12, 6.935e-12, 7.457e-12, 8.074e-12,
2342 8.811e-12, 9.852e-12, 1.086e-11, 1.207e-11, 1.361e-11, 1.553e-11,
2343 1.737e-11, 1.93e-11, 2.175e-11, 2.41e-11, 2.706e-11, 3.023e-11,
2344 3.313e-11, 3.657e-11, 4.118e-11, 4.569e-11, 5.025e-11, 5.66e-11,
2345 6.231e-11, 6.881e-11, 7.996e-11, 8.526e-11, 9.694e-11, 1.106e-10,
2346 1.222e-10, 1.355e-10, 1.525e-10, 1.775e-10, 1.924e-10, 2.181e-10,
2347 2.379e-10, 2.662e-10, 2.907e-10, 3.154e-10, 3.366e-10, 3.579e-10,
2348 3.858e-10, 4.046e-10, 4.196e-10, 4.166e-10, 4.457e-10, 4.466e-10,
2349 4.404e-10, 4.337e-10, 4.15e-10, 4.083e-10, 3.91e-10, 3.723e-10,
2350 3.514e-10, 3.303e-10, 2.847e-10, 2.546e-10, 2.23e-10, 1.994e-10,
2351 1.733e-10, 1.488e-10, 1.297e-10, 1.144e-10, 1.004e-10, 8.741e-11,
2352 7.928e-11, 7.034e-11, 6.323e-11, 5.754e-11, 5.25e-11, 4.85e-11,
2353 4.502e-11, 4.286e-11, 4.028e-11, 3.899e-11, 3.824e-11, 3.761e-11,
2354 3.804e-11, 3.839e-11, 3.845e-11, 4.244e-11, 4.382e-11, 4.582e-11,
2355 4.847e-11, 5.209e-11, 5.384e-11, 5.887e-11, 6.371e-11, 6.737e-11,
2356 7.168e-11, 7.415e-11, 7.827e-11, 8.037e-11, 8.12e-11, 8.071e-11,
2357 8.008e-11, 7.851e-11, 7.544e-11, 7.377e-11, 7.173e-11, 6.801e-11,
2358 6.267e-11, 5.727e-11, 5.288e-11, 4.853e-11, 4.082e-11, 3.645e-11,
2359 3.136e-11, 2.672e-11, 2.304e-11, 1.986e-11, 1.725e-11, 1.503e-11,
2360 1.315e-11, 1.153e-11, 1.014e-11, 8.942e-12, 7.901e-12, 6.993e-12,
2361 6.199e-12, 5.502e-12, 4.89e-12, 4.351e-12, 3.878e-12, 3.461e-12,
2362 3.094e-12, 2.771e-12, 2.488e-12, 2.241e-12, 2.025e-12, 1.838e-12,
2363 1.677e-12, 1.541e-12, 1.427e-12, 1.335e-12, 1.262e-12, 1.209e-12,
2364 1.176e-12, 1.161e-12, 1.165e-12, 1.189e-12, 1.234e-12, 1.3e-12,
2365 1.389e-12, 1.503e-12, 1.644e-12, 1.814e-12, 2.017e-12, 2.255e-12,
2366 2.534e-12, 2.858e-12, 3.231e-12, 3.661e-12, 4.153e-12, 4.717e-12,
2367 5.36e-12, 6.094e-12, 6.93e-12, 7.882e-12, 8.966e-12, 1.02e-11,
2368 1.162e-11, 1.324e-11, 1.51e-11, 1.72e-11, 1.965e-11, 2.237e-11,
2369 2.56e-11, 2.927e-11, 3.371e-11, 3.842e-11, 4.429e-11, 5.139e-11,
2370 5.798e-11, 6.697e-11, 7.626e-11, 8.647e-11, 1.022e-10, 1.136e-10,
2371 1.3e-10, 1.481e-10, 1.672e-10, 1.871e-10, 2.126e-10, 2.357e-10,
2372 2.583e-10, 2.997e-10, 3.289e-10, 3.702e-10, 4.012e-10, 4.319e-10,
2373 4.527e-10, 5.001e-10, 5.448e-10, 5.611e-10, 5.76e-10, 5.965e-10,
2374 6.079e-10, 6.207e-10, 6.276e-10, 6.222e-10, 6.137e-10, 6e-10,
2375 5.814e-10, 5.393e-10, 5.35e-10, 4.947e-10, 4.629e-10, 4.117e-10,
2376 3.712e-10, 3.372e-10, 2.923e-10, 2.55e-10, 2.232e-10, 1.929e-10,
2377 1.679e-10, 1.46e-10, 1.289e-10, 1.13e-10, 9.953e-11, 8.763e-11,
2378 7.76e-11, 6.9e-11, 6.16e-11, 5.525e-11, 4.958e-11, 4.489e-11,
2379 4.072e-11, 3.728e-11, 3.438e-11, 3.205e-11, 3.006e-11, 2.848e-11,
2380 2.766e-11, 2.688e-11, 2.664e-11, 2.67e-11, 2.696e-11, 2.786e-11,
2381 2.861e-11, 3.009e-11, 3.178e-11, 3.389e-11, 3.587e-11, 3.819e-11,
2382 4.054e-11, 4.417e-11, 4.703e-11, 5.137e-11, 5.46e-11, 6.055e-11,
2383 6.333e-11, 6.773e-11, 7.219e-11, 7.717e-11, 8.131e-11, 8.491e-11,
2384 8.574e-11, 9.01e-11, 9.017e-11, 8.999e-11, 8.959e-11, 8.838e-11,
2385 8.579e-11, 8.162e-11, 8.098e-11, 7.472e-11, 7.108e-11, 6.559e-11,
2386 5.994e-11, 5.172e-11, 4.424e-11, 3.951e-11, 3.34e-11, 2.902e-11,
2387 2.541e-11, 2.215e-11, 1.945e-11, 1.716e-11, 1.503e-11, 1.339e-11,
2388 1.185e-11, 1.05e-11, 9.336e-12, 8.307e-12, 7.312e-12, 6.55e-12,
2389 5.836e-12, 5.178e-12, 4.6e-12, 4.086e-12, 3.639e-12, 3.247e-12,
2390 2.904e-12, 2.604e-12, 2.341e-12, 2.112e-12, 1.914e-12, 1.744e-12,
2391 1.598e-12, 1.476e-12, 1.374e-12, 1.293e-12, 1.23e-12, 1.185e-12,
2392 1.158e-12, 1.147e-12, 1.154e-12, 1.177e-12, 1.219e-12, 1.28e-12,
2393 1.36e-12, 1.463e-12, 1.591e-12, 1.75e-12, 1.94e-12, 2.156e-12,
2394 2.43e-12, 2.748e-12, 3.052e-12, 3.533e-12, 3.967e-12, 4.471e-12,
2395 5.041e-12, 5.86e-12, 6.664e-12, 7.522e-12, 8.342e-12, 9.412e-12,
2396 1.072e-11, 1.213e-11, 1.343e-11, 1.496e-11, 1.664e-11, 1.822e-11,
2397 2.029e-11, 2.233e-11, 2.457e-11, 2.709e-11, 2.928e-11, 3.115e-11,
2398 3.356e-11, 3.592e-11, 3.818e-11, 3.936e-11, 4.061e-11, 4.149e-11,
2399 4.299e-11, 4.223e-11, 4.251e-11, 4.287e-11, 4.177e-11, 4.094e-11,
2400 3.942e-11, 3.772e-11, 3.614e-11, 3.394e-11, 3.222e-11, 2.791e-11,
2401 2.665e-11, 2.309e-11, 2.032e-11, 1.74e-11, 1.535e-11, 1.323e-11,
2402 1.151e-11, 9.803e-12, 8.65e-12, 7.54e-12, 6.619e-12, 5.832e-12,
2403 5.113e-12, 4.503e-12, 3.975e-12, 3.52e-12, 3.112e-12, 2.797e-12,
2404 2.5e-12, 2.24e-12, 2.013e-12, 1.819e-12, 1.653e-12, 1.513e-12,
2405 1.395e-12, 1.299e-12, 1.225e-12, 1.168e-12, 1.124e-12, 1.148e-12,
2406 1.107e-12, 1.128e-12, 1.169e-12, 1.233e-12, 1.307e-12, 1.359e-12,
2407 1.543e-12, 1.686e-12, 1.794e-12, 2.028e-12, 2.21e-12, 2.441e-12,
2408 2.653e-12, 2.828e-12, 3.093e-12, 3.28e-12, 3.551e-12, 3.677e-12,
2409 3.803e-12, 3.844e-12, 4.068e-12, 4.093e-12, 4.002e-12, 3.904e-12,
2410 3.624e-12, 3.633e-12, 3.622e-12, 3.443e-12, 3.184e-12, 2.934e-12,
2411 2.476e-12, 2.212e-12, 1.867e-12, 1.594e-12, 1.37e-12, 1.192e-12,
2412 1.045e-12, 9.211e-13, 8.17e-13, 7.29e-13, 6.55e-13, 5.929e-13,
2413 5.415e-13, 4.995e-13, 4.661e-13, 4.406e-13, 4.225e-13, 4.116e-13,
2414 4.075e-13, 4.102e-13, 4.198e-13, 4.365e-13, 4.606e-13, 4.925e-13,
2415 5.326e-13, 5.818e-13, 6.407e-13, 7.104e-13, 7.92e-13, 8.868e-13,
2416 9.964e-13, 1.123e-12, 1.268e-12, 1.434e-12, 1.626e-12, 1.848e-12,
2417 2.107e-12, 2.422e-12, 2.772e-12, 3.145e-12, 3.704e-12, 4.27e-12,
2418 4.721e-12, 5.361e-12, 6.083e-12, 7.095e-12, 7.968e-12, 9.228e-12,
2419 1.048e-11, 1.187e-11, 1.336e-11, 1.577e-11, 1.772e-11, 2.017e-11,
2420 2.25e-11, 2.63e-11, 2.911e-11, 3.356e-11, 3.82e-11, 4.173e-11,
2421 4.811e-11, 5.254e-11, 5.839e-11, 6.187e-11, 6.805e-11, 7.118e-11,
2422 7.369e-11, 7.664e-11, 7.794e-11, 7.947e-11, 8.036e-11, 7.954e-11,
2423 7.849e-11, 7.518e-11, 7.462e-11, 6.926e-11, 6.531e-11, 6.197e-11,
2424 5.421e-11, 4.777e-11, 4.111e-11, 3.679e-11, 3.166e-11, 2.786e-11,
2425 2.436e-11, 2.144e-11, 1.859e-11, 1.628e-11, 1.414e-11, 1.237e-11,
2426 1.093e-11, 9.558e-12
2427 };
2428
2429 static const double h2o260[2001] =
2430 { .2752, .2732, .2749, .2676, .2667, .2545,
2431 .2497, .2327, .2218, .2036, .1825, .1694, .1497, .1353, .121,
2432 .1014, .09405, .07848, .07195, .06246, .05306, .04853, .04138,
2433 .03735, .03171, .02785, .02431, .02111, .01845, .0164, .01405,
2434 .01255, .01098, .009797, .008646, .007779, .006898, .006099,
2435 .005453, .004909, .004413, .003959, .003581, .003199, .002871,
2436 .002583, .00233, .002086, .001874, .001684, .001512, .001361,
2437 .001225, .0011, 9.89e-4, 8.916e-4, 8.039e-4, 7.256e-4, 6.545e-4,
2438 5.918e-4, 5.359e-4, 4.867e-4, 4.426e-4, 4.033e-4, 3.682e-4,
2439 3.366e-4, 3.085e-4, 2.833e-4, 2.605e-4, 2.403e-4, 2.221e-4,
2440 2.055e-4, 1.908e-4, 1.774e-4, 1.653e-4, 1.544e-4, 1.443e-4,
2441 1.351e-4, 1.267e-4, 1.19e-4, 1.119e-4, 1.053e-4, 9.922e-5,
2442 9.355e-5, 8.831e-5, 8.339e-5, 7.878e-5, 7.449e-5, 7.043e-5,
2443 6.664e-5, 6.307e-5, 5.969e-5, 5.654e-5, 5.357e-5, 5.075e-5,
2444 4.81e-5, 4.56e-5, 4.322e-5, 4.102e-5, 3.892e-5, 3.696e-5,
2445 3.511e-5, 3.339e-5, 3.177e-5, 3.026e-5, 2.886e-5, 2.756e-5,
2446 2.636e-5, 2.527e-5, 2.427e-5, 2.337e-5, 2.257e-5, 2.185e-5,
2447 2.127e-5, 2.08e-5, 2.041e-5, 2.013e-5, 2e-5, 1.997e-5, 2.009e-5,
2448 2.031e-5, 2.068e-5, 2.124e-5, 2.189e-5, 2.267e-5, 2.364e-5,
2449 2.463e-5, 2.618e-5, 2.774e-5, 2.937e-5, 3.144e-5, 3.359e-5,
2450 3.695e-5, 4.002e-5, 4.374e-5, 4.947e-5, 5.431e-5, 6.281e-5,
2451 7.169e-5, 8.157e-5, 9.728e-5, 1.079e-4, 1.337e-4, 1.442e-4,
2452 1.683e-4, 1.879e-4, 2.223e-4, 2.425e-4, 2.838e-4, 3.143e-4,
2453 3.527e-4, 4.012e-4, 4.237e-4, 4.747e-4, 5.057e-4, 5.409e-4,
2454 5.734e-4, 5.944e-4, 6.077e-4, 6.175e-4, 6.238e-4, 6.226e-4,
2455 6.248e-4, 6.192e-4, 6.098e-4, 5.818e-4, 5.709e-4, 5.465e-4,
2456 5.043e-4, 4.699e-4, 4.294e-4, 3.984e-4, 3.672e-4, 3.152e-4,
2457 2.883e-4, 2.503e-4, 2.211e-4, 1.92e-4, 1.714e-4, 1.485e-4,
2458 1.358e-4, 1.156e-4, 1.021e-4, 8.887e-5, 7.842e-5, 7.12e-5,
2459 6.186e-5, 5.73e-5, 4.792e-5, 4.364e-5, 3.72e-5, 3.28e-5,
2460 2.946e-5, 2.591e-5, 2.261e-5, 2.048e-5, 1.813e-5, 1.63e-5,
2461 1.447e-5, 1.282e-5, 1.167e-5, 1.041e-5, 9.449e-6, 8.51e-6,
2462 7.596e-6, 6.961e-6, 6.272e-6, 5.728e-6, 5.198e-6, 4.667e-6,
2463 4.288e-6, 3.897e-6, 3.551e-6, 3.235e-6, 2.952e-6, 2.688e-6,
2464 2.449e-6, 2.241e-6, 2.05e-6, 1.879e-6, 1.722e-6, 1.582e-6,
2465 1.456e-6, 1.339e-6, 1.236e-6, 1.144e-6, 1.06e-6, 9.83e-7,
2466 9.149e-7, 8.535e-7, 7.973e-7, 7.466e-7, 6.999e-7, 6.574e-7,
2467 6.18e-7, 5.821e-7, 5.487e-7, 5.18e-7, 4.896e-7, 4.631e-7,
2468 4.386e-7, 4.16e-7, 3.945e-7, 3.748e-7, 3.562e-7, 3.385e-7,
2469 3.222e-7, 3.068e-7, 2.922e-7, 2.788e-7, 2.659e-7, 2.539e-7,
2470 2.425e-7, 2.318e-7, 2.219e-7, 2.127e-7, 2.039e-7, 1.958e-7,
2471 1.885e-7, 1.818e-7, 1.758e-7, 1.711e-7, 1.662e-7, 1.63e-7,
2472 1.605e-7, 1.58e-7, 1.559e-7, 1.545e-7, 1.532e-7, 1.522e-7,
2473 1.51e-7, 1.495e-7, 1.465e-7, 1.483e-7, 1.469e-7, 1.448e-7,
2474 1.444e-7, 1.436e-7, 1.426e-7, 1.431e-7, 1.425e-7, 1.445e-7,
2475 1.477e-7, 1.515e-7, 1.567e-7, 1.634e-7, 1.712e-7, 1.802e-7,
2476 1.914e-7, 2.024e-7, 2.159e-7, 2.295e-7, 2.461e-7, 2.621e-7,
2477 2.868e-7, 3.102e-7, 3.394e-7, 3.784e-7, 4.223e-7, 4.864e-7,
2478 5.501e-7, 6.039e-7, 7.193e-7, 7.728e-7, 9.514e-7, 1.073e-6,
2479 1.18e-6, 1.333e-6, 1.472e-6, 1.566e-6, 1.677e-6, 1.784e-6,
2480 1.904e-6, 1.953e-6, 2.02e-6, 2.074e-6, 2.128e-6, 2.162e-6,
2481 2.219e-6, 2.221e-6, 2.249e-6, 2.239e-6, 2.235e-6, 2.185e-6,
2482 2.141e-6, 2.124e-6, 2.09e-6, 2.068e-6, 2.1e-6, 2.104e-6,
2483 2.142e-6, 2.181e-6, 2.257e-6, 2.362e-6, 2.5e-6, 2.664e-6,
2484 2.884e-6, 3.189e-6, 3.48e-6, 3.847e-6, 4.313e-6, 4.79e-6,
2485 5.25e-6, 5.989e-6, 6.692e-6, 7.668e-6, 8.52e-6, 9.606e-6,
2486 1.073e-5, 1.225e-5, 1.377e-5, 1.582e-5, 1.761e-5, 2.029e-5,
2487 2.284e-5, 2.602e-5, 2.94e-5, 3.483e-5, 3.928e-5, 4.618e-5,
2488 5.24e-5, 6.132e-5, 7.183e-5, 8.521e-5, 9.111e-5, 1.07e-4,
2489 1.184e-4, 1.264e-4, 1.475e-4, 1.612e-4, 1.704e-4, 1.818e-4,
2490 1.924e-4, 1.994e-4, 2.061e-4, 2.18e-4, 2.187e-4, 2.2e-4,
2491 2.196e-4, 2.131e-4, 2.015e-4, 1.988e-4, 1.847e-4, 1.729e-4,
2492 1.597e-4, 1.373e-4, 1.262e-4, 1.087e-4, 9.439e-5, 8.061e-5,
2493 7.093e-5, 6.049e-5, 5.12e-5, 4.435e-5, 3.817e-5, 3.34e-5,
2494 2.927e-5, 2.573e-5, 2.291e-5, 2.04e-5, 1.827e-5, 1.636e-5,
2495 1.463e-5, 1.309e-5, 1.17e-5, 1.047e-5, 9.315e-6, 8.328e-6,
2496 7.458e-6, 6.665e-6, 5.94e-6, 5.316e-6, 4.752e-6, 4.252e-6,
2497 3.825e-6, 3.421e-6, 3.064e-6, 2.746e-6, 2.465e-6, 2.216e-6,
2498 1.99e-6, 1.79e-6, 1.609e-6, 1.449e-6, 1.306e-6, 1.177e-6,
2499 1.063e-6, 9.607e-7, 8.672e-7, 7.855e-7, 7.118e-7, 6.46e-7,
2500 5.871e-7, 5.34e-7, 4.868e-7, 4.447e-7, 4.068e-7, 3.729e-7,
2501 3.423e-7, 3.151e-7, 2.905e-7, 2.686e-7, 2.484e-7, 2.306e-7,
2502 2.142e-7, 1.995e-7, 1.86e-7, 1.738e-7, 1.626e-7, 1.522e-7,
2503 1.427e-7, 1.338e-7, 1.258e-7, 1.183e-7, 1.116e-7, 1.056e-7,
2504 9.972e-8, 9.46e-8, 9.007e-8, 8.592e-8, 8.195e-8, 7.816e-8,
2505 7.483e-8, 7.193e-8, 6.892e-8, 6.642e-8, 6.386e-8, 6.154e-8,
2506 5.949e-8, 5.764e-8, 5.622e-8, 5.479e-8, 5.364e-8, 5.301e-8,
2507 5.267e-8, 5.263e-8, 5.313e-8, 5.41e-8, 5.55e-8, 5.745e-8,
2508 6.003e-8, 6.311e-8, 6.713e-8, 7.173e-8, 7.724e-8, 8.368e-8,
2509 9.121e-8, 9.986e-8, 1.097e-7, 1.209e-7, 1.338e-7, 1.486e-7,
2510 1.651e-7, 1.837e-7, 2.048e-7, 2.289e-7, 2.557e-7, 2.857e-7,
2511 3.195e-7, 3.587e-7, 4.015e-7, 4.497e-7, 5.049e-7, 5.665e-7,
2512 6.366e-7, 7.121e-7, 7.996e-7, 8.946e-7, 1.002e-6, 1.117e-6,
2513 1.262e-6, 1.416e-6, 1.611e-6, 1.807e-6, 2.056e-6, 2.351e-6,
2514 2.769e-6, 3.138e-6, 3.699e-6, 4.386e-6, 5.041e-6, 6.074e-6,
2515 6.812e-6, 7.79e-6, 8.855e-6, 1.014e-5, 1.095e-5, 1.245e-5,
2516 1.316e-5, 1.39e-5, 1.504e-5, 1.583e-5, 1.617e-5, 1.652e-5,
2517 1.713e-5, 1.724e-5, 1.715e-5, 1.668e-5, 1.629e-5, 1.552e-5,
2518 1.478e-5, 1.34e-5, 1.245e-5, 1.121e-5, 9.575e-6, 8.956e-6,
2519 7.345e-6, 6.597e-6, 5.612e-6, 4.818e-6, 4.165e-6, 3.579e-6,
2520 3.041e-6, 2.623e-6, 2.29e-6, 1.984e-6, 1.748e-6, 1.534e-6,
2521 1.369e-6, 1.219e-6, 1.092e-6, 9.8e-7, 8.762e-7, 7.896e-7,
2522 7.104e-7, 6.364e-7, 5.691e-7, 5.107e-7, 4.575e-7, 4.09e-7,
2523 3.667e-7, 3.287e-7, 2.931e-7, 2.633e-7, 2.356e-7, 2.111e-7,
2524 1.895e-7, 1.697e-7, 1.525e-7, 1.369e-7, 1.233e-7, 1.114e-7,
2525 9.988e-8, 9.004e-8, 8.149e-8, 7.352e-8, 6.662e-8, 6.03e-8,
2526 5.479e-8, 4.974e-8, 4.532e-8, 4.129e-8, 3.781e-8, 3.462e-8,
2527 3.176e-8, 2.919e-8, 2.687e-8, 2.481e-8, 2.292e-8, 2.119e-8,
2528 1.967e-8, 1.828e-8, 1.706e-8, 1.589e-8, 1.487e-8, 1.393e-8,
2529 1.307e-8, 1.228e-8, 1.156e-8, 1.089e-8, 1.028e-8, 9.696e-9,
2530 9.159e-9, 8.658e-9, 8.187e-9, 7.746e-9, 7.34e-9, 6.953e-9,
2531 6.594e-9, 6.259e-9, 5.948e-9, 5.66e-9, 5.386e-9, 5.135e-9,
2532 4.903e-9, 4.703e-9, 4.515e-9, 4.362e-9, 4.233e-9, 4.117e-9,
2533 4.017e-9, 3.962e-9, 3.924e-9, 3.905e-9, 3.922e-9, 3.967e-9,
2534 4.046e-9, 4.165e-9, 4.32e-9, 4.522e-9, 4.769e-9, 5.083e-9,
2535 5.443e-9, 5.872e-9, 6.366e-9, 6.949e-9, 7.601e-9, 8.371e-9,
2536 9.22e-9, 1.02e-8, 1.129e-8, 1.251e-8, 1.393e-8, 1.542e-8,
2537 1.72e-8, 1.926e-8, 2.152e-8, 2.392e-8, 2.678e-8, 3.028e-8,
2538 3.39e-8, 3.836e-8, 4.309e-8, 4.9e-8, 5.481e-8, 6.252e-8,
2539 7.039e-8, 7.883e-8, 8.849e-8, 1.012e-7, 1.142e-7, 1.3e-7,
2540 1.475e-7, 1.732e-7, 1.978e-7, 2.304e-7, 2.631e-7, 2.988e-7,
2541 3.392e-7, 3.69e-7, 4.355e-7, 4.672e-7, 5.11e-7, 5.461e-7,
2542 5.828e-7, 6.233e-7, 6.509e-7, 6.672e-7, 6.969e-7, 7.104e-7,
2543 7.439e-7, 7.463e-7, 7.708e-7, 7.466e-7, 7.668e-7, 7.549e-7,
2544 7.586e-7, 7.384e-7, 7.439e-7, 7.785e-7, 7.915e-7, 8.31e-7,
2545 8.745e-7, 9.558e-7, 1.038e-6, 1.173e-6, 1.304e-6, 1.452e-6,
2546 1.671e-6, 1.931e-6, 2.239e-6, 2.578e-6, 3.032e-6, 3.334e-6,
2547 3.98e-6, 4.3e-6, 4.518e-6, 5.321e-6, 5.508e-6, 6.211e-6, 6.59e-6,
2548 7.046e-6, 7.555e-6, 7.558e-6, 7.875e-6, 8.319e-6, 8.433e-6,
2549 8.59e-6, 8.503e-6, 8.304e-6, 8.336e-6, 7.739e-6, 7.301e-6,
2550 6.827e-6, 6.078e-6, 5.551e-6, 4.762e-6, 4.224e-6, 3.538e-6,
2551 2.984e-6, 2.619e-6, 2.227e-6, 1.923e-6, 1.669e-6, 1.462e-6,
2552 1.294e-6, 1.155e-6, 1.033e-6, 9.231e-7, 8.238e-7, 7.36e-7,
2553 6.564e-7, 5.869e-7, 5.236e-7, 4.673e-7, 4.174e-7, 3.736e-7,
2554 3.33e-7, 2.976e-7, 2.657e-7, 2.367e-7, 2.106e-7, 1.877e-7,
2555 1.671e-7, 1.494e-7, 1.332e-7, 1.192e-7, 1.065e-7, 9.558e-8,
2556 8.586e-8, 7.717e-8, 6.958e-8, 6.278e-8, 5.666e-8, 5.121e-8,
2557 4.647e-8, 4.213e-8, 3.815e-8, 3.459e-8, 3.146e-8, 2.862e-8,
2558 2.604e-8, 2.375e-8, 2.162e-8, 1.981e-8, 1.817e-8, 1.67e-8,
2559 1.537e-8, 1.417e-8, 1.31e-8, 1.215e-8, 1.128e-8, 1.05e-8,
2560 9.793e-9, 9.158e-9, 8.586e-9, 8.068e-9, 7.595e-9, 7.166e-9,
2561 6.778e-9, 6.427e-9, 6.108e-9, 5.826e-9, 5.571e-9, 5.347e-9,
2562 5.144e-9, 4.968e-9, 4.822e-9, 4.692e-9, 4.589e-9, 4.506e-9,
2563 4.467e-9, 4.44e-9, 4.466e-9, 4.515e-9, 4.718e-9, 4.729e-9,
2564 4.937e-9, 5.249e-9, 5.466e-9, 5.713e-9, 6.03e-9, 6.436e-9,
2565 6.741e-9, 7.33e-9, 7.787e-9, 8.414e-9, 8.908e-9, 9.868e-9,
2566 1.069e-8, 1.158e-8, 1.253e-8, 1.3e-8, 1.409e-8, 1.47e-8,
2567 1.548e-8, 1.612e-8, 1.666e-8, 1.736e-8, 1.763e-8, 1.812e-8,
2568 1.852e-8, 1.923e-8, 1.897e-8, 1.893e-8, 1.888e-8, 1.868e-8,
2569 1.895e-8, 1.899e-8, 1.876e-8, 1.96e-8, 2.02e-8, 2.121e-8,
2570 2.239e-8, 2.379e-8, 2.526e-8, 2.766e-8, 2.994e-8, 3.332e-8,
2571 3.703e-8, 4.158e-8, 4.774e-8, 5.499e-8, 6.355e-8, 7.349e-8,
2572 8.414e-8, 9.846e-8, 1.143e-7, 1.307e-7, 1.562e-7, 1.817e-7,
2573 2.011e-7, 2.192e-7, 2.485e-7, 2.867e-7, 3.035e-7, 3.223e-7,
2574 3.443e-7, 3.617e-7, 3.793e-7, 3.793e-7, 3.839e-7, 4.081e-7,
2575 4.117e-7, 4.085e-7, 3.92e-7, 3.851e-7, 3.754e-7, 3.49e-7,
2576 3.229e-7, 2.978e-7, 2.691e-7, 2.312e-7, 2.029e-7, 1.721e-7,
2577 1.472e-7, 1.308e-7, 1.132e-7, 9.736e-8, 8.458e-8, 7.402e-8,
2578 6.534e-8, 5.811e-8, 5.235e-8, 4.762e-8, 4.293e-8, 3.896e-8,
2579 3.526e-8, 3.165e-8, 2.833e-8, 2.551e-8, 2.288e-8, 2.036e-8,
2580 1.82e-8, 1.626e-8, 1.438e-8, 1.299e-8, 1.149e-8, 1.03e-8,
2581 9.148e-9, 8.122e-9, 7.264e-9, 6.425e-9, 5.777e-9, 5.06e-9,
2582 4.502e-9, 4.013e-9, 3.567e-9, 3.145e-9, 2.864e-9, 2.553e-9,
2583 2.311e-9, 2.087e-9, 1.886e-9, 1.716e-9, 1.556e-9, 1.432e-9,
2584 1.311e-9, 1.202e-9, 1.104e-9, 1.013e-9, 9.293e-10, 8.493e-10,
2585 7.79e-10, 7.185e-10, 6.642e-10, 6.141e-10, 5.684e-10, 5.346e-10,
2586 5.032e-10, 4.725e-10, 4.439e-10, 4.176e-10, 3.93e-10, 3.714e-10,
2587 3.515e-10, 3.332e-10, 3.167e-10, 3.02e-10, 2.887e-10, 2.769e-10,
2588 2.665e-10, 2.578e-10, 2.503e-10, 2.436e-10, 2.377e-10, 2.342e-10,
2589 2.305e-10, 2.296e-10, 2.278e-10, 2.321e-10, 2.355e-10, 2.402e-10,
2590 2.478e-10, 2.67e-10, 2.848e-10, 2.982e-10, 3.263e-10, 3.438e-10,
2591 3.649e-10, 3.829e-10, 4.115e-10, 4.264e-10, 4.473e-10, 4.63e-10,
2592 4.808e-10, 4.995e-10, 5.142e-10, 5.313e-10, 5.318e-10, 5.358e-10,
2593 5.452e-10, 5.507e-10, 5.698e-10, 5.782e-10, 5.983e-10, 6.164e-10,
2594 6.532e-10, 6.811e-10, 7.624e-10, 8.302e-10, 9.067e-10, 9.937e-10,
2595 1.104e-9, 1.221e-9, 1.361e-9, 1.516e-9, 1.675e-9, 1.883e-9,
2596 2.101e-9, 2.349e-9, 2.614e-9, 2.92e-9, 3.305e-9, 3.724e-9,
2597 4.142e-9, 4.887e-9, 5.614e-9, 6.506e-9, 7.463e-9, 8.817e-9,
2598 9.849e-9, 1.187e-8, 1.321e-8, 1.474e-8, 1.698e-8, 1.794e-8,
2599 2.09e-8, 2.211e-8, 2.362e-8, 2.556e-8, 2.729e-8, 2.88e-8,
2600 3.046e-8, 3.167e-8, 3.367e-8, 3.457e-8, 3.59e-8, 3.711e-8,
2601 3.826e-8, 4.001e-8, 4.211e-8, 4.315e-8, 4.661e-8, 5.01e-8,
2602 5.249e-8, 5.84e-8, 6.628e-8, 7.512e-8, 8.253e-8, 9.722e-8,
2603 1.067e-7, 1.153e-7, 1.347e-7, 1.428e-7, 1.577e-7, 1.694e-7,
2604 1.833e-7, 1.938e-7, 2.108e-7, 2.059e-7, 2.157e-7, 2.185e-7,
2605 2.208e-7, 2.182e-7, 2.093e-7, 2.014e-7, 1.962e-7, 1.819e-7,
2606 1.713e-7, 1.51e-7, 1.34e-7, 1.154e-7, 9.89e-8, 8.88e-8, 7.673e-8,
2607 6.599e-8, 5.73e-8, 5.081e-8, 4.567e-8, 4.147e-8, 3.773e-8,
2608 3.46e-8, 3.194e-8, 2.953e-8, 2.759e-8, 2.594e-8, 2.442e-8,
2609 2.355e-8, 2.283e-8, 2.279e-8, 2.231e-8, 2.279e-8, 2.239e-8,
2610 2.21e-8, 2.309e-8, 2.293e-8, 2.352e-8, 2.415e-8, 2.43e-8,
2611 2.426e-8, 2.465e-8, 2.5e-8, 2.496e-8, 2.465e-8, 2.445e-8,
2612 2.383e-8, 2.299e-8, 2.165e-8, 2.113e-8, 1.968e-8, 1.819e-8,
2613 1.644e-8, 1.427e-8, 1.27e-8, 1.082e-8, 9.428e-9, 8.091e-9,
2614 6.958e-9, 5.988e-9, 5.246e-9, 4.601e-9, 4.098e-9, 3.664e-9,
2615 3.287e-9, 2.942e-9, 2.656e-9, 2.364e-9, 2.118e-9, 1.903e-9,
2616 1.703e-9, 1.525e-9, 1.365e-9, 1.229e-9, 1.107e-9, 9.96e-10,
2617 8.945e-10, 8.08e-10, 7.308e-10, 6.616e-10, 5.994e-10, 5.422e-10,
2618 4.929e-10, 4.478e-10, 4.07e-10, 3.707e-10, 3.379e-10, 3.087e-10,
2619 2.823e-10, 2.592e-10, 2.385e-10, 2.201e-10, 2.038e-10, 1.897e-10,
2620 1.774e-10, 1.667e-10, 1.577e-10, 1.502e-10, 1.437e-10, 1.394e-10,
2621 1.358e-10, 1.324e-10, 1.329e-10, 1.324e-10, 1.36e-10, 1.39e-10,
2622 1.424e-10, 1.544e-10, 1.651e-10, 1.817e-10, 1.984e-10, 2.195e-10,
2623 2.438e-10, 2.7e-10, 2.991e-10, 3.322e-10, 3.632e-10, 3.957e-10,
2624 4.36e-10, 4.701e-10, 5.03e-10, 5.381e-10, 5.793e-10, 6.19e-10,
2625 6.596e-10, 7.004e-10, 7.561e-10, 7.934e-10, 8.552e-10, 9.142e-10,
2626 9.57e-10, 1.027e-9, 1.097e-9, 1.193e-9, 1.334e-9, 1.47e-9,
2627 1.636e-9, 1.871e-9, 2.122e-9, 2.519e-9, 2.806e-9, 3.203e-9,
2628 3.846e-9, 4.362e-9, 5.114e-9, 5.643e-9, 6.305e-9, 6.981e-9,
2629 7.983e-9, 8.783e-9, 9.419e-9, 1.017e-8, 1.063e-8, 1.121e-8,
2630 1.13e-8, 1.201e-8, 1.225e-8, 1.232e-8, 1.223e-8, 1.177e-8,
2631 1.151e-8, 1.116e-8, 1.047e-8, 9.698e-9, 8.734e-9, 8.202e-9,
2632 7.041e-9, 6.074e-9, 5.172e-9, 4.468e-9, 3.913e-9, 3.414e-9,
2633 2.975e-9, 2.65e-9, 2.406e-9, 2.173e-9, 2.009e-9, 1.861e-9,
2634 1.727e-9, 1.612e-9, 1.514e-9, 1.43e-9, 1.362e-9, 1.333e-9,
2635 1.288e-9, 1.249e-9, 1.238e-9, 1.228e-9, 1.217e-9, 1.202e-9,
2636 1.209e-9, 1.177e-9, 1.157e-9, 1.165e-9, 1.142e-9, 1.131e-9,
2637 1.138e-9, 1.117e-9, 1.1e-9, 1.069e-9, 1.023e-9, 1.005e-9,
2638 9.159e-10, 8.863e-10, 7.865e-10, 7.153e-10, 6.247e-10, 5.846e-10,
2639 5.133e-10, 4.36e-10, 3.789e-10, 3.335e-10, 2.833e-10, 2.483e-10,
2640 2.155e-10, 1.918e-10, 1.709e-10, 1.529e-10, 1.374e-10, 1.235e-10,
2641 1.108e-10, 9.933e-11, 8.932e-11, 8.022e-11, 7.224e-11, 6.52e-11,
2642 5.896e-11, 5.328e-11, 4.813e-11, 4.365e-11, 3.961e-11, 3.594e-11,
2643 3.266e-11, 2.967e-11, 2.701e-11, 2.464e-11, 2.248e-11, 2.054e-11,
2644 1.878e-11, 1.721e-11, 1.579e-11, 1.453e-11, 1.341e-11, 1.241e-11,
2645 1.154e-11, 1.078e-11, 1.014e-11, 9.601e-12, 9.167e-12, 8.838e-12,
2646 8.614e-12, 8.493e-12, 8.481e-12, 8.581e-12, 8.795e-12, 9.131e-12,
2647 9.601e-12, 1.021e-11, 1.097e-11, 1.191e-11, 1.303e-11, 1.439e-11,
2648 1.601e-11, 1.778e-11, 1.984e-11, 2.234e-11, 2.474e-11, 2.766e-11,
2649 3.085e-11, 3.415e-11, 3.821e-11, 4.261e-11, 4.748e-11, 5.323e-11,
2650 5.935e-11, 6.619e-11, 7.418e-11, 8.294e-11, 9.26e-11, 1.039e-10,
2651 1.156e-10, 1.297e-10, 1.46e-10, 1.641e-10, 1.858e-10, 2.1e-10,
2652 2.383e-10, 2.724e-10, 3.116e-10, 3.538e-10, 4.173e-10, 4.727e-10,
2653 5.503e-10, 6.337e-10, 7.32e-10, 8.298e-10, 9.328e-10, 1.059e-9,
2654 1.176e-9, 1.328e-9, 1.445e-9, 1.593e-9, 1.77e-9, 1.954e-9,
2655 2.175e-9, 2.405e-9, 2.622e-9, 2.906e-9, 3.294e-9, 3.713e-9,
2656 3.98e-9, 4.384e-9, 4.987e-9, 5.311e-9, 5.874e-9, 6.337e-9,
2657 7.027e-9, 7.39e-9, 7.769e-9, 8.374e-9, 8.605e-9, 9.165e-9,
2658 9.415e-9, 9.511e-9, 9.704e-9, 9.588e-9, 9.45e-9, 9.086e-9,
2659 8.798e-9, 8.469e-9, 7.697e-9, 7.168e-9, 6.255e-9, 5.772e-9,
2660 4.97e-9, 4.271e-9, 3.653e-9, 3.154e-9, 2.742e-9, 2.435e-9,
2661 2.166e-9, 1.936e-9, 1.731e-9, 1.556e-9, 1.399e-9, 1.272e-9,
2662 1.157e-9, 1.066e-9, 9.844e-10, 9.258e-10, 8.787e-10, 8.421e-10,
2663 8.083e-10, 8.046e-10, 8.067e-10, 8.181e-10, 8.325e-10, 8.517e-10,
2664 9.151e-10, 9.351e-10, 9.677e-10, 1.071e-9, 1.126e-9, 1.219e-9,
2665 1.297e-9, 1.408e-9, 1.476e-9, 1.517e-9, 1.6e-9, 1.649e-9,
2666 1.678e-9, 1.746e-9, 1.742e-9, 1.728e-9, 1.699e-9, 1.655e-9,
2667 1.561e-9, 1.48e-9, 1.451e-9, 1.411e-9, 1.171e-9, 1.106e-9,
2668 9.714e-10, 8.523e-10, 7.346e-10, 6.241e-10, 5.371e-10, 4.704e-10,
2669 4.144e-10, 3.683e-10, 3.292e-10, 2.942e-10, 2.62e-10, 2.341e-10,
2670 2.104e-10, 1.884e-10, 1.7e-10, 1.546e-10, 1.394e-10, 1.265e-10,
2671 1.14e-10, 1.019e-10, 9.279e-11, 8.283e-11, 7.458e-11, 6.668e-11,
2672 5.976e-11, 5.33e-11, 4.794e-11, 4.289e-11, 3.841e-11, 3.467e-11,
2673 3.13e-11, 2.832e-11, 2.582e-11, 2.356e-11, 2.152e-11, 1.97e-11,
2674 1.808e-11, 1.664e-11, 1.539e-11, 1.434e-11, 1.344e-11, 1.269e-11,
2675 1.209e-11, 1.162e-11, 1.129e-11, 1.108e-11, 1.099e-11, 1.103e-11,
2676 1.119e-11, 1.148e-11, 1.193e-11, 1.252e-11, 1.329e-11, 1.421e-11,
2677 1.555e-11, 1.685e-11, 1.839e-11, 2.054e-11, 2.317e-11, 2.571e-11,
2678 2.839e-11, 3.171e-11, 3.49e-11, 3.886e-11, 4.287e-11, 4.645e-11,
2679 5.047e-11, 5.592e-11, 6.109e-11, 6.628e-11, 7.381e-11, 8.088e-11,
2680 8.966e-11, 1.045e-10, 1.12e-10, 1.287e-10, 1.486e-10, 1.662e-10,
2681 1.866e-10, 2.133e-10, 2.524e-10, 2.776e-10, 3.204e-10, 3.559e-10,
2682 4.028e-10, 4.448e-10, 4.882e-10, 5.244e-10, 5.605e-10, 6.018e-10,
2683 6.328e-10, 6.579e-10, 6.541e-10, 7.024e-10, 7.074e-10, 7.068e-10,
2684 7.009e-10, 6.698e-10, 6.545e-10, 6.209e-10, 5.834e-10, 5.412e-10,
2685 5.001e-10, 4.231e-10, 3.727e-10, 3.211e-10, 2.833e-10, 2.447e-10,
2686 2.097e-10, 1.843e-10, 1.639e-10, 1.449e-10, 1.27e-10, 1.161e-10,
2687 1.033e-10, 9.282e-11, 8.407e-11, 7.639e-11, 7.023e-11, 6.474e-11,
2688 6.142e-11, 5.76e-11, 5.568e-11, 5.472e-11, 5.39e-11, 5.455e-11,
2689 5.54e-11, 5.587e-11, 6.23e-11, 6.49e-11, 6.868e-11, 7.382e-11,
2690 8.022e-11, 8.372e-11, 9.243e-11, 1.004e-10, 1.062e-10, 1.13e-10,
2691 1.176e-10, 1.244e-10, 1.279e-10, 1.298e-10, 1.302e-10, 1.312e-10,
2692 1.295e-10, 1.244e-10, 1.211e-10, 1.167e-10, 1.098e-10, 9.927e-11,
2693 8.854e-11, 8.011e-11, 7.182e-11, 5.923e-11, 5.212e-11, 4.453e-11,
2694 3.832e-11, 3.371e-11, 2.987e-11, 2.651e-11, 2.354e-11, 2.093e-11,
2695 1.863e-11, 1.662e-11, 1.486e-11, 1.331e-11, 1.193e-11, 1.071e-11,
2696 9.628e-12, 8.66e-12, 7.801e-12, 7.031e-12, 6.347e-12, 5.733e-12,
2697 5.182e-12, 4.695e-12, 4.26e-12, 3.874e-12, 3.533e-12, 3.235e-12,
2698 2.979e-12, 2.76e-12, 2.579e-12, 2.432e-12, 2.321e-12, 2.246e-12,
2699 2.205e-12, 2.196e-12, 2.223e-12, 2.288e-12, 2.387e-12, 2.525e-12,
2700 2.704e-12, 2.925e-12, 3.191e-12, 3.508e-12, 3.876e-12, 4.303e-12,
2701 4.793e-12, 5.347e-12, 5.978e-12, 6.682e-12, 7.467e-12, 8.34e-12,
2702 9.293e-12, 1.035e-11, 1.152e-11, 1.285e-11, 1.428e-11, 1.586e-11,
2703 1.764e-11, 1.972e-11, 2.214e-11, 2.478e-11, 2.776e-11, 3.151e-11,
2704 3.591e-11, 4.103e-11, 4.66e-11, 5.395e-11, 6.306e-11, 7.172e-11,
2705 8.358e-11, 9.67e-11, 1.11e-10, 1.325e-10, 1.494e-10, 1.736e-10,
2706 2.007e-10, 2.296e-10, 2.608e-10, 3.004e-10, 3.361e-10, 3.727e-10,
2707 4.373e-10, 4.838e-10, 5.483e-10, 6.006e-10, 6.535e-10, 6.899e-10,
2708 7.687e-10, 8.444e-10, 8.798e-10, 9.135e-10, 9.532e-10, 9.757e-10,
2709 9.968e-10, 1.006e-9, 9.949e-10, 9.789e-10, 9.564e-10, 9.215e-10,
2710 8.51e-10, 8.394e-10, 7.707e-10, 7.152e-10, 6.274e-10, 5.598e-10,
2711 5.028e-10, 4.3e-10, 3.71e-10, 3.245e-10, 2.809e-10, 2.461e-10,
2712 2.154e-10, 1.91e-10, 1.685e-10, 1.487e-10, 1.313e-10, 1.163e-10,
2713 1.031e-10, 9.172e-11, 8.221e-11, 7.382e-11, 6.693e-11, 6.079e-11,
2714 5.581e-11, 5.167e-11, 4.811e-11, 4.506e-11, 4.255e-11, 4.083e-11,
2715 3.949e-11, 3.881e-11, 3.861e-11, 3.858e-11, 3.951e-11, 4.045e-11,
2716 4.24e-11, 4.487e-11, 4.806e-11, 5.133e-11, 5.518e-11, 5.919e-11,
2717 6.533e-11, 7.031e-11, 7.762e-11, 8.305e-11, 9.252e-11, 9.727e-11,
2718 1.045e-10, 1.117e-10, 1.2e-10, 1.275e-10, 1.341e-10, 1.362e-10,
2719 1.438e-10, 1.45e-10, 1.455e-10, 1.455e-10, 1.434e-10, 1.381e-10,
2720 1.301e-10, 1.276e-10, 1.163e-10, 1.089e-10, 9.911e-11, 8.943e-11,
2721 7.618e-11, 6.424e-11, 5.717e-11, 4.866e-11, 4.257e-11, 3.773e-11,
2722 3.331e-11, 2.958e-11, 2.629e-11, 2.316e-11, 2.073e-11, 1.841e-11,
2723 1.635e-11, 1.464e-11, 1.31e-11, 1.16e-11, 1.047e-11, 9.408e-12,
2724 8.414e-12, 7.521e-12, 6.705e-12, 5.993e-12, 5.371e-12, 4.815e-12,
2725 4.338e-12, 3.921e-12, 3.567e-12, 3.265e-12, 3.01e-12, 2.795e-12,
2726 2.613e-12, 2.464e-12, 2.346e-12, 2.256e-12, 2.195e-12, 2.165e-12,
2727 2.166e-12, 2.198e-12, 2.262e-12, 2.364e-12, 2.502e-12, 2.682e-12,
2728 2.908e-12, 3.187e-12, 3.533e-12, 3.946e-12, 4.418e-12, 5.013e-12,
2729 5.708e-12, 6.379e-12, 7.43e-12, 8.39e-12, 9.51e-12, 1.078e-11,
2730 1.259e-11, 1.438e-11, 1.63e-11, 1.814e-11, 2.055e-11, 2.348e-11,
2731 2.664e-11, 2.956e-11, 3.3e-11, 3.677e-11, 4.032e-11, 4.494e-11,
2732 4.951e-11, 5.452e-11, 6.014e-11, 6.5e-11, 6.915e-11, 7.45e-11,
2733 7.971e-11, 8.468e-11, 8.726e-11, 8.995e-11, 9.182e-11, 9.509e-11,
2734 9.333e-11, 9.386e-11, 9.457e-11, 9.21e-11, 9.019e-11, 8.68e-11,
2735 8.298e-11, 7.947e-11, 7.46e-11, 7.082e-11, 6.132e-11, 5.855e-11,
2736 5.073e-11, 4.464e-11, 3.825e-11, 3.375e-11, 2.911e-11, 2.535e-11,
2737 2.16e-11, 1.907e-11, 1.665e-11, 1.463e-11, 1.291e-11, 1.133e-11,
2738 9.997e-12, 8.836e-12, 7.839e-12, 6.943e-12, 6.254e-12, 5.6e-12,
2739 5.029e-12, 4.529e-12, 4.102e-12, 3.737e-12, 3.428e-12, 3.169e-12,
2740 2.959e-12, 2.798e-12, 2.675e-12, 2.582e-12, 2.644e-12, 2.557e-12,
2741 2.614e-12, 2.717e-12, 2.874e-12, 3.056e-12, 3.187e-12, 3.631e-12,
2742 3.979e-12, 4.248e-12, 4.817e-12, 5.266e-12, 5.836e-12, 6.365e-12,
2743 6.807e-12, 7.47e-12, 7.951e-12, 8.636e-12, 8.972e-12, 9.314e-12,
2744 9.445e-12, 1.003e-11, 1.013e-11, 9.937e-12, 9.729e-12, 9.064e-12,
2745 9.119e-12, 9.124e-12, 8.704e-12, 8.078e-12, 7.47e-12, 6.329e-12,
2746 5.674e-12, 4.808e-12, 4.119e-12, 3.554e-12, 3.103e-12, 2.731e-12,
2747 2.415e-12, 2.15e-12, 1.926e-12, 1.737e-12, 1.578e-12, 1.447e-12,
2748 1.34e-12, 1.255e-12, 1.191e-12, 1.146e-12, 1.121e-12, 1.114e-12,
2749 1.126e-12, 1.156e-12, 1.207e-12, 1.278e-12, 1.372e-12, 1.49e-12,
2750 1.633e-12, 1.805e-12, 2.01e-12, 2.249e-12, 2.528e-12, 2.852e-12,
2751 3.228e-12, 3.658e-12, 4.153e-12, 4.728e-12, 5.394e-12, 6.176e-12,
2752 7.126e-12, 8.188e-12, 9.328e-12, 1.103e-11, 1.276e-11, 1.417e-11,
2753 1.615e-11, 1.84e-11, 2.155e-11, 2.429e-11, 2.826e-11, 3.222e-11,
2754 3.664e-11, 4.14e-11, 4.906e-11, 5.536e-11, 6.327e-11, 7.088e-11,
2755 8.316e-11, 9.242e-11, 1.07e-10, 1.223e-10, 1.341e-10, 1.553e-10,
2756 1.703e-10, 1.9e-10, 2.022e-10, 2.233e-10, 2.345e-10, 2.438e-10,
2757 2.546e-10, 2.599e-10, 2.661e-10, 2.703e-10, 2.686e-10, 2.662e-10,
2758 2.56e-10, 2.552e-10, 2.378e-10, 2.252e-10, 2.146e-10, 1.885e-10,
2759 1.668e-10, 1.441e-10, 1.295e-10, 1.119e-10, 9.893e-11, 8.687e-11,
2760 7.678e-11, 6.685e-11, 5.879e-11, 5.127e-11, 4.505e-11, 3.997e-11,
2761 3.511e-11
2762 };
2763
2764 static const double h2ofrn[2001] = { .01095, .01126, .01205, .01322, .0143,
2765 .01506, .01548, .01534, .01486, .01373, .01262, .01134, .01001,
2766 .008702, .007475, .006481, .00548, .0046, .003833, .00311,
2767 .002543, .002049, .00168, .001374, .001046, 8.193e-4, 6.267e-4,
2768 4.968e-4, 3.924e-4, 2.983e-4, 2.477e-4, 1.997e-4, 1.596e-4,
2769 1.331e-4, 1.061e-4, 8.942e-5, 7.168e-5, 5.887e-5, 4.848e-5,
2770 3.817e-5, 3.17e-5, 2.579e-5, 2.162e-5, 1.768e-5, 1.49e-5,
2771 1.231e-5, 1.013e-5, 8.555e-6, 7.328e-6, 6.148e-6, 5.207e-6,
2772 4.387e-6, 3.741e-6, 3.22e-6, 2.753e-6, 2.346e-6, 1.985e-6,
2773 1.716e-6, 1.475e-6, 1.286e-6, 1.122e-6, 9.661e-7, 8.284e-7,
2774 7.057e-7, 6.119e-7, 5.29e-7, 4.571e-7, 3.948e-7, 3.432e-7,
2775 2.983e-7, 2.589e-7, 2.265e-7, 1.976e-7, 1.704e-7, 1.456e-7,
2776 1.26e-7, 1.101e-7, 9.648e-8, 8.415e-8, 7.34e-8, 6.441e-8,
2777 5.643e-8, 4.94e-8, 4.276e-8, 3.703e-8, 3.227e-8, 2.825e-8,
2778 2.478e-8, 2.174e-8, 1.898e-8, 1.664e-8, 1.458e-8, 1.278e-8,
2779 1.126e-8, 9.891e-9, 8.709e-9, 7.652e-9, 6.759e-9, 5.975e-9,
2780 5.31e-9, 4.728e-9, 4.214e-9, 3.792e-9, 3.463e-9, 3.226e-9,
2781 2.992e-9, 2.813e-9, 2.749e-9, 2.809e-9, 2.913e-9, 3.037e-9,
2782 3.413e-9, 3.738e-9, 4.189e-9, 4.808e-9, 5.978e-9, 7.088e-9,
2783 8.071e-9, 9.61e-9, 1.21e-8, 1.5e-8, 1.764e-8, 2.221e-8, 2.898e-8,
2784 3.948e-8, 5.068e-8, 6.227e-8, 7.898e-8, 1.033e-7, 1.437e-7,
2785 1.889e-7, 2.589e-7, 3.59e-7, 4.971e-7, 7.156e-7, 9.983e-7,
2786 1.381e-6, 1.929e-6, 2.591e-6, 3.453e-6, 4.57e-6, 5.93e-6,
2787 7.552e-6, 9.556e-6, 1.183e-5, 1.425e-5, 1.681e-5, 1.978e-5,
2788 2.335e-5, 2.668e-5, 3.022e-5, 3.371e-5, 3.715e-5, 3.967e-5,
2789 4.06e-5, 4.01e-5, 3.809e-5, 3.491e-5, 3.155e-5, 2.848e-5,
2790 2.678e-5, 2.66e-5, 2.811e-5, 3.071e-5, 3.294e-5, 3.459e-5,
2791 3.569e-5, 3.56e-5, 3.434e-5, 3.186e-5, 2.916e-5, 2.622e-5,
2792 2.275e-5, 1.918e-5, 1.62e-5, 1.373e-5, 1.182e-5, 1.006e-5,
2793 8.556e-6, 7.26e-6, 6.107e-6, 5.034e-6, 4.211e-6, 3.426e-6,
2794 2.865e-6, 2.446e-6, 1.998e-6, 1.628e-6, 1.242e-6, 1.005e-6,
2795 7.853e-7, 6.21e-7, 5.071e-7, 4.156e-7, 3.548e-7, 2.825e-7,
2796 2.261e-7, 1.916e-7, 1.51e-7, 1.279e-7, 1.059e-7, 9.14e-8,
2797 7.707e-8, 6.17e-8, 5.311e-8, 4.263e-8, 3.518e-8, 2.961e-8,
2798 2.457e-8, 2.119e-8, 1.712e-8, 1.439e-8, 1.201e-8, 1.003e-8,
2799 8.564e-9, 7.199e-9, 6.184e-9, 5.206e-9, 4.376e-9, 3.708e-9,
2800 3.157e-9, 2.725e-9, 2.361e-9, 2.074e-9, 1.797e-9, 1.562e-9,
2801 1.364e-9, 1.196e-9, 1.042e-9, 8.862e-10, 7.648e-10, 6.544e-10,
2802 5.609e-10, 4.791e-10, 4.108e-10, 3.531e-10, 3.038e-10, 2.618e-10,
2803 2.268e-10, 1.969e-10, 1.715e-10, 1.496e-10, 1.308e-10, 1.147e-10,
2804 1.008e-10, 8.894e-11, 7.885e-11, 7.031e-11, 6.355e-11, 5.854e-11,
2805 5.534e-11, 5.466e-11, 5.725e-11, 6.447e-11, 7.943e-11, 1.038e-10,
2806 1.437e-10, 2.04e-10, 2.901e-10, 4.051e-10, 5.556e-10, 7.314e-10,
2807 9.291e-10, 1.134e-9, 1.321e-9, 1.482e-9, 1.596e-9, 1.669e-9,
2808 1.715e-9, 1.762e-9, 1.817e-9, 1.828e-9, 1.848e-9, 1.873e-9,
2809 1.902e-9, 1.894e-9, 1.864e-9, 1.841e-9, 1.797e-9, 1.704e-9,
2810 1.559e-9, 1.382e-9, 1.187e-9, 1.001e-9, 8.468e-10, 7.265e-10,
2811 6.521e-10, 6.381e-10, 6.66e-10, 7.637e-10, 9.705e-10, 1.368e-9,
2812 1.856e-9, 2.656e-9, 3.954e-9, 5.96e-9, 8.72e-9, 1.247e-8,
2813 1.781e-8, 2.491e-8, 3.311e-8, 4.272e-8, 5.205e-8, 6.268e-8,
2814 7.337e-8, 8.277e-8, 9.185e-8, 1.004e-7, 1.091e-7, 1.159e-7,
2815 1.188e-7, 1.175e-7, 1.124e-7, 1.033e-7, 9.381e-8, 8.501e-8,
2816 7.956e-8, 7.894e-8, 8.331e-8, 9.102e-8, 9.836e-8, 1.035e-7,
2817 1.064e-7, 1.06e-7, 1.032e-7, 9.808e-8, 9.139e-8, 8.442e-8,
2818 7.641e-8, 6.881e-8, 6.161e-8, 5.404e-8, 4.804e-8, 4.446e-8,
2819 4.328e-8, 4.259e-8, 4.421e-8, 4.673e-8, 4.985e-8, 5.335e-8,
2820 5.796e-8, 6.542e-8, 7.714e-8, 8.827e-8, 1.04e-7, 1.238e-7,
2821 1.499e-7, 1.829e-7, 2.222e-7, 2.689e-7, 3.303e-7, 3.981e-7,
2822 4.84e-7, 5.91e-7, 7.363e-7, 9.087e-7, 1.139e-6, 1.455e-6,
2823 1.866e-6, 2.44e-6, 3.115e-6, 3.941e-6, 4.891e-6, 5.992e-6,
2824 7.111e-6, 8.296e-6, 9.21e-6, 9.987e-6, 1.044e-5, 1.073e-5,
2825 1.092e-5, 1.106e-5, 1.138e-5, 1.171e-5, 1.186e-5, 1.186e-5,
2826 1.179e-5, 1.166e-5, 1.151e-5, 1.16e-5, 1.197e-5, 1.241e-5,
2827 1.268e-5, 1.26e-5, 1.184e-5, 1.063e-5, 9.204e-6, 7.584e-6,
2828 6.053e-6, 4.482e-6, 3.252e-6, 2.337e-6, 1.662e-6, 1.18e-6,
2829 8.15e-7, 5.95e-7, 4.354e-7, 3.302e-7, 2.494e-7, 1.93e-7,
2830 1.545e-7, 1.25e-7, 1.039e-7, 8.602e-8, 7.127e-8, 5.897e-8,
2831 4.838e-8, 4.018e-8, 3.28e-8, 2.72e-8, 2.307e-8, 1.972e-8,
2832 1.654e-8, 1.421e-8, 1.174e-8, 1.004e-8, 8.739e-9, 7.358e-9,
2833 6.242e-9, 5.303e-9, 4.567e-9, 3.94e-9, 3.375e-9, 2.864e-9,
2834 2.422e-9, 2.057e-9, 1.75e-9, 1.505e-9, 1.294e-9, 1.101e-9,
2835 9.401e-10, 8.018e-10, 6.903e-10, 5.965e-10, 5.087e-10, 4.364e-10,
2836 3.759e-10, 3.247e-10, 2.809e-10, 2.438e-10, 2.123e-10, 1.853e-10,
2837 1.622e-10, 1.426e-10, 1.26e-10, 1.125e-10, 1.022e-10, 9.582e-11,
2838 9.388e-11, 9.801e-11, 1.08e-10, 1.276e-10, 1.551e-10, 1.903e-10,
2839 2.291e-10, 2.724e-10, 3.117e-10, 3.4e-10, 3.562e-10, 3.625e-10,
2840 3.619e-10, 3.429e-10, 3.221e-10, 2.943e-10, 2.645e-10, 2.338e-10,
2841 2.062e-10, 1.901e-10, 1.814e-10, 1.827e-10, 1.906e-10, 1.984e-10,
2842 2.04e-10, 2.068e-10, 2.075e-10, 2.018e-10, 1.959e-10, 1.897e-10,
2843 1.852e-10, 1.791e-10, 1.696e-10, 1.634e-10, 1.598e-10, 1.561e-10,
2844 1.518e-10, 1.443e-10, 1.377e-10, 1.346e-10, 1.342e-10, 1.375e-10,
2845 1.525e-10, 1.767e-10, 2.108e-10, 2.524e-10, 2.981e-10, 3.477e-10,
2846 4.262e-10, 5.326e-10, 6.646e-10, 8.321e-10, 1.069e-9, 1.386e-9,
2847 1.743e-9, 2.216e-9, 2.808e-9, 3.585e-9, 4.552e-9, 5.907e-9,
2848 7.611e-9, 9.774e-9, 1.255e-8, 1.666e-8, 2.279e-8, 3.221e-8,
2849 4.531e-8, 6.4e-8, 9.187e-8, 1.295e-7, 1.825e-7, 2.431e-7,
2850 3.181e-7, 4.009e-7, 4.941e-7, 5.88e-7, 6.623e-7, 7.155e-7,
2851 7.451e-7, 7.594e-7, 7.541e-7, 7.467e-7, 7.527e-7, 7.935e-7,
2852 8.461e-7, 8.954e-7, 9.364e-7, 9.843e-7, 1.024e-6, 1.05e-6,
2853 1.059e-6, 1.074e-6, 1.072e-6, 1.043e-6, 9.789e-7, 8.803e-7,
2854 7.662e-7, 6.378e-7, 5.133e-7, 3.958e-7, 2.914e-7, 2.144e-7,
2855 1.57e-7, 1.14e-7, 8.47e-8, 6.2e-8, 4.657e-8, 3.559e-8, 2.813e-8,
2856 2.222e-8, 1.769e-8, 1.391e-8, 1.125e-8, 9.186e-9, 7.704e-9,
2857 6.447e-9, 5.381e-9, 4.442e-9, 3.669e-9, 3.057e-9, 2.564e-9,
2858 2.153e-9, 1.784e-9, 1.499e-9, 1.281e-9, 1.082e-9, 9.304e-10,
2859 8.169e-10, 6.856e-10, 5.866e-10, 5.043e-10, 4.336e-10, 3.731e-10,
2860 3.175e-10, 2.745e-10, 2.374e-10, 2.007e-10, 1.737e-10, 1.508e-10,
2861 1.302e-10, 1.13e-10, 9.672e-11, 8.375e-11, 7.265e-11, 6.244e-11,
2862 5.343e-11, 4.654e-11, 3.975e-11, 3.488e-11, 3.097e-11, 2.834e-11,
2863 2.649e-11, 2.519e-11, 2.462e-11, 2.443e-11, 2.44e-11, 2.398e-11,
2864 2.306e-11, 2.183e-11, 2.021e-11, 1.821e-11, 1.599e-11, 1.403e-11,
2865 1.196e-11, 1.023e-11, 8.728e-12, 7.606e-12, 6.941e-12, 6.545e-12,
2866 6.484e-12, 6.6e-12, 6.718e-12, 6.785e-12, 6.746e-12, 6.724e-12,
2867 6.764e-12, 6.995e-12, 7.144e-12, 7.32e-12, 7.33e-12, 7.208e-12,
2868 6.789e-12, 6.09e-12, 5.337e-12, 4.62e-12, 4.037e-12, 3.574e-12,
2869 3.311e-12, 3.346e-12, 3.566e-12, 3.836e-12, 4.076e-12, 4.351e-12,
2870 4.691e-12, 5.114e-12, 5.427e-12, 6.167e-12, 7.436e-12, 8.842e-12,
2871 1.038e-11, 1.249e-11, 1.54e-11, 1.915e-11, 2.48e-11, 3.256e-11,
2872 4.339e-11, 5.611e-11, 7.519e-11, 1.037e-10, 1.409e-10, 1.883e-10,
2873 2.503e-10, 3.38e-10, 4.468e-10, 5.801e-10, 7.335e-10, 8.98e-10,
2874 1.11e-9, 1.363e-9, 1.677e-9, 2.104e-9, 2.681e-9, 3.531e-9,
2875 4.621e-9, 6.106e-9, 8.154e-9, 1.046e-8, 1.312e-8, 1.607e-8,
2876 1.948e-8, 2.266e-8, 2.495e-8, 2.655e-8, 2.739e-8, 2.739e-8,
2877 2.662e-8, 2.589e-8, 2.59e-8, 2.664e-8, 2.833e-8, 3.023e-8,
2878 3.305e-8, 3.558e-8, 3.793e-8, 3.961e-8, 4.056e-8, 4.102e-8,
2879 4.025e-8, 3.917e-8, 3.706e-8, 3.493e-8, 3.249e-8, 3.096e-8,
2880 3.011e-8, 3.111e-8, 3.395e-8, 3.958e-8, 4.875e-8, 6.066e-8,
2881 7.915e-8, 1.011e-7, 1.3e-7, 1.622e-7, 2.003e-7, 2.448e-7,
2882 2.863e-7, 3.317e-7, 3.655e-7, 3.96e-7, 4.098e-7, 4.168e-7,
2883 4.198e-7, 4.207e-7, 4.289e-7, 4.384e-7, 4.471e-7, 4.524e-7,
2884 4.574e-7, 4.633e-7, 4.785e-7, 5.028e-7, 5.371e-7, 5.727e-7,
2885 5.955e-7, 5.998e-7, 5.669e-7, 5.082e-7, 4.397e-7, 3.596e-7,
2886 2.814e-7, 2.074e-7, 1.486e-7, 1.057e-7, 7.25e-8, 4.946e-8,
2887 3.43e-8, 2.447e-8, 1.793e-8, 1.375e-8, 1.096e-8, 9.091e-9,
2888 7.709e-9, 6.631e-9, 5.714e-9, 4.886e-9, 4.205e-9, 3.575e-9,
2889 3.07e-9, 2.631e-9, 2.284e-9, 2.002e-9, 1.745e-9, 1.509e-9,
2890 1.284e-9, 1.084e-9, 9.163e-10, 7.663e-10, 6.346e-10, 5.283e-10,
2891 4.354e-10, 3.59e-10, 2.982e-10, 2.455e-10, 2.033e-10, 1.696e-10,
2892 1.432e-10, 1.211e-10, 1.02e-10, 8.702e-11, 7.38e-11, 6.293e-11,
2893 5.343e-11, 4.532e-11, 3.907e-11, 3.365e-11, 2.945e-11, 2.558e-11,
2894 2.192e-11, 1.895e-11, 1.636e-11, 1.42e-11, 1.228e-11, 1.063e-11,
2895 9.348e-12, 8.2e-12, 7.231e-12, 6.43e-12, 5.702e-12, 5.052e-12,
2896 4.469e-12, 4e-12, 3.679e-12, 3.387e-12, 3.197e-12, 3.158e-12,
2897 3.327e-12, 3.675e-12, 4.292e-12, 5.437e-12, 7.197e-12, 1.008e-11,
2898 1.437e-11, 2.035e-11, 2.905e-11, 4.062e-11, 5.528e-11, 7.177e-11,
2899 9.064e-11, 1.109e-10, 1.297e-10, 1.473e-10, 1.652e-10, 1.851e-10,
2900 2.079e-10, 2.313e-10, 2.619e-10, 2.958e-10, 3.352e-10, 3.796e-10,
2901 4.295e-10, 4.923e-10, 5.49e-10, 5.998e-10, 6.388e-10, 6.645e-10,
2902 6.712e-10, 6.549e-10, 6.38e-10, 6.255e-10, 6.253e-10, 6.459e-10,
2903 6.977e-10, 7.59e-10, 8.242e-10, 8.92e-10, 9.403e-10, 9.701e-10,
2904 9.483e-10, 9.135e-10, 8.617e-10, 7.921e-10, 7.168e-10, 6.382e-10,
2905 5.677e-10, 5.045e-10, 4.572e-10, 4.312e-10, 4.145e-10, 4.192e-10,
2906 4.541e-10, 5.368e-10, 6.771e-10, 8.962e-10, 1.21e-9, 1.659e-9,
2907 2.33e-9, 3.249e-9, 4.495e-9, 5.923e-9, 7.642e-9, 9.607e-9,
2908 1.178e-8, 1.399e-8, 1.584e-8, 1.73e-8, 1.816e-8, 1.87e-8,
2909 1.868e-8, 1.87e-8, 1.884e-8, 1.99e-8, 2.15e-8, 2.258e-8,
2910 2.364e-8, 2.473e-8, 2.602e-8, 2.689e-8, 2.731e-8, 2.816e-8,
2911 2.859e-8, 2.839e-8, 2.703e-8, 2.451e-8, 2.149e-8, 1.787e-8,
2912 1.449e-8, 1.111e-8, 8.282e-9, 6.121e-9, 4.494e-9, 3.367e-9,
2913 2.487e-9, 1.885e-9, 1.503e-9, 1.249e-9, 1.074e-9, 9.427e-10,
2914 8.439e-10, 7.563e-10, 6.772e-10, 6.002e-10, 5.254e-10, 4.588e-10,
2915 3.977e-10, 3.449e-10, 3.003e-10, 2.624e-10, 2.335e-10, 2.04e-10,
2916 1.771e-10, 1.534e-10, 1.296e-10, 1.097e-10, 9.173e-11, 7.73e-11,
2917 6.547e-11, 5.191e-11, 4.198e-11, 3.361e-11, 2.732e-11, 2.244e-11,
2918 1.791e-11, 1.509e-11, 1.243e-11, 1.035e-11, 8.969e-12, 7.394e-12,
2919 6.323e-12, 5.282e-12, 4.543e-12, 3.752e-12, 3.14e-12, 2.6e-12,
2920 2.194e-12, 1.825e-12, 1.511e-12, 1.245e-12, 1.024e-12, 8.539e-13,
2921 7.227e-13, 6.102e-13, 5.189e-13, 4.43e-13, 3.774e-13, 3.236e-13,
2922 2.8e-13, 2.444e-13, 2.156e-13, 1.932e-13, 1.775e-13, 1.695e-13,
2923 1.672e-13, 1.704e-13, 1.825e-13, 2.087e-13, 2.614e-13, 3.377e-13,
2924 4.817e-13, 6.989e-13, 1.062e-12, 1.562e-12, 2.288e-12, 3.295e-12,
2925 4.55e-12, 5.965e-12, 7.546e-12, 9.395e-12, 1.103e-11, 1.228e-11,
2926 1.318e-11, 1.38e-11, 1.421e-11, 1.39e-11, 1.358e-11, 1.336e-11,
2927 1.342e-11, 1.356e-11, 1.424e-11, 1.552e-11, 1.73e-11, 1.951e-11,
2928 2.128e-11, 2.249e-11, 2.277e-11, 2.226e-11, 2.111e-11, 1.922e-11,
2929 1.775e-11, 1.661e-11, 1.547e-11, 1.446e-11, 1.323e-11, 1.21e-11,
2930 1.054e-11, 9.283e-12, 8.671e-12, 8.67e-12, 9.429e-12, 1.062e-11,
2931 1.255e-11, 1.506e-11, 1.818e-11, 2.26e-11, 2.831e-11, 3.723e-11,
2932 5.092e-11, 6.968e-11, 9.826e-11, 1.349e-10, 1.87e-10, 2.58e-10,
2933 3.43e-10, 4.424e-10, 5.521e-10, 6.812e-10, 8.064e-10, 9.109e-10,
2934 9.839e-10, 1.028e-9, 1.044e-9, 1.029e-9, 1.005e-9, 1.002e-9,
2935 1.038e-9, 1.122e-9, 1.233e-9, 1.372e-9, 1.524e-9, 1.665e-9,
2936 1.804e-9, 1.908e-9, 2.015e-9, 2.117e-9, 2.219e-9, 2.336e-9,
2937 2.531e-9, 2.805e-9, 3.189e-9, 3.617e-9, 4.208e-9, 4.911e-9,
2938 5.619e-9, 6.469e-9, 7.188e-9, 7.957e-9, 8.503e-9, 9.028e-9,
2939 9.571e-9, 9.99e-9, 1.055e-8, 1.102e-8, 1.132e-8, 1.141e-8,
2940 1.145e-8, 1.145e-8, 1.176e-8, 1.224e-8, 1.304e-8, 1.388e-8,
2941 1.445e-8, 1.453e-8, 1.368e-8, 1.22e-8, 1.042e-8, 8.404e-9,
2942 6.403e-9, 4.643e-9, 3.325e-9, 2.335e-9, 1.638e-9, 1.19e-9,
2943 9.161e-10, 7.412e-10, 6.226e-10, 5.516e-10, 5.068e-10, 4.831e-10,
2944 4.856e-10, 5.162e-10, 5.785e-10, 6.539e-10, 7.485e-10, 8.565e-10,
2945 9.534e-10, 1.052e-9, 1.115e-9, 1.173e-9, 1.203e-9, 1.224e-9,
2946 1.243e-9, 1.248e-9, 1.261e-9, 1.265e-9, 1.25e-9, 1.217e-9,
2947 1.176e-9, 1.145e-9, 1.153e-9, 1.199e-9, 1.278e-9, 1.366e-9,
2948 1.426e-9, 1.444e-9, 1.365e-9, 1.224e-9, 1.051e-9, 8.539e-10,
2949 6.564e-10, 4.751e-10, 3.404e-10, 2.377e-10, 1.631e-10, 1.114e-10,
2950 7.87e-11, 5.793e-11, 4.284e-11, 3.3e-11, 2.62e-11, 2.152e-11,
2951 1.777e-11, 1.496e-11, 1.242e-11, 1.037e-11, 8.725e-12, 7.004e-12,
2952 5.718e-12, 4.769e-12, 3.952e-12, 3.336e-12, 2.712e-12, 2.213e-12,
2953 1.803e-12, 1.492e-12, 1.236e-12, 1.006e-12, 8.384e-13, 7.063e-13,
2954 5.879e-13, 4.93e-13, 4.171e-13, 3.569e-13, 3.083e-13, 2.688e-13,
2955 2.333e-13, 2.035e-13, 1.82e-13, 1.682e-13, 1.635e-13, 1.674e-13,
2956 1.769e-13, 2.022e-13, 2.485e-13, 3.127e-13, 4.25e-13, 5.928e-13,
2957 8.514e-13, 1.236e-12, 1.701e-12, 2.392e-12, 3.231e-12, 4.35e-12,
2958 5.559e-12, 6.915e-12, 8.519e-12, 1.013e-11, 1.146e-11, 1.24e-11,
2959 1.305e-11, 1.333e-11, 1.318e-11, 1.263e-11, 1.238e-11, 1.244e-11,
2960 1.305e-11, 1.432e-11, 1.623e-11, 1.846e-11, 2.09e-11, 2.328e-11,
2961 2.526e-11, 2.637e-11, 2.702e-11, 2.794e-11, 2.889e-11, 2.989e-11,
2962 3.231e-11, 3.68e-11, 4.375e-11, 5.504e-11, 7.159e-11, 9.502e-11,
2963 1.279e-10, 1.645e-10, 2.098e-10, 2.618e-10, 3.189e-10, 3.79e-10,
2964 4.303e-10, 4.753e-10, 5.027e-10, 5.221e-10, 5.293e-10, 5.346e-10,
2965 5.467e-10, 5.796e-10, 6.2e-10, 6.454e-10, 6.705e-10, 6.925e-10,
2966 7.233e-10, 7.35e-10, 7.538e-10, 7.861e-10, 8.077e-10, 8.132e-10,
2967 7.749e-10, 7.036e-10, 6.143e-10, 5.093e-10, 4.089e-10, 3.092e-10,
2968 2.299e-10, 1.705e-10, 1.277e-10, 9.723e-11, 7.533e-11, 6.126e-11,
2969 5.154e-11, 4.428e-11, 3.913e-11, 3.521e-11, 3.297e-11, 3.275e-11,
2970 3.46e-11, 3.798e-11, 4.251e-11, 4.745e-11, 5.232e-11, 5.606e-11,
2971 5.82e-11, 5.88e-11, 5.79e-11, 5.661e-11, 5.491e-11, 5.366e-11,
2972 5.341e-11, 5.353e-11, 5.336e-11, 5.293e-11, 5.248e-11, 5.235e-11,
2973 5.208e-11, 5.322e-11, 5.521e-11, 5.725e-11, 5.827e-11, 5.685e-11,
2974 5.245e-11, 4.612e-11, 3.884e-11, 3.129e-11, 2.404e-11, 1.732e-11,
2975 1.223e-11, 8.574e-12, 5.888e-12, 3.986e-12, 2.732e-12, 1.948e-12,
2976 1.414e-12, 1.061e-12, 8.298e-13, 6.612e-13, 5.413e-13, 4.472e-13,
2977 3.772e-13, 3.181e-13, 2.645e-13, 2.171e-13, 1.778e-13, 1.464e-13,
2978 1.183e-13, 9.637e-14, 7.991e-14, 6.668e-14, 5.57e-14, 4.663e-14,
2979 3.848e-14, 3.233e-14, 2.706e-14, 2.284e-14, 1.944e-14, 1.664e-14,
2980 1.43e-14, 1.233e-14, 1.066e-14, 9.234e-15, 8.023e-15, 6.993e-15,
2981 6.119e-15, 5.384e-15, 4.774e-15, 4.283e-15, 3.916e-15, 3.695e-15,
2982 3.682e-15, 4.004e-15, 4.912e-15, 6.853e-15, 1.056e-14, 1.712e-14,
2983 2.804e-14, 4.516e-14, 7.113e-14, 1.084e-13, 1.426e-13, 1.734e-13,
2984 1.978e-13, 2.194e-13, 2.388e-13, 2.489e-13, 2.626e-13, 2.865e-13,
2985 3.105e-13, 3.387e-13, 3.652e-13, 3.984e-13, 4.398e-13, 4.906e-13,
2986 5.55e-13, 6.517e-13, 7.813e-13, 9.272e-13, 1.164e-12, 1.434e-12,
2987 1.849e-12, 2.524e-12, 3.328e-12, 4.523e-12, 6.108e-12, 8.207e-12,
2988 1.122e-11, 1.477e-11, 1.9e-11, 2.412e-11, 2.984e-11, 3.68e-11,
2989 4.353e-11, 4.963e-11, 5.478e-11, 5.903e-11, 6.233e-11, 6.483e-11,
2990 6.904e-11, 7.569e-11, 8.719e-11, 1.048e-10, 1.278e-10, 1.557e-10,
2991 1.869e-10, 2.218e-10, 2.61e-10, 2.975e-10, 3.371e-10, 3.746e-10,
2992 4.065e-10, 4.336e-10, 4.503e-10, 4.701e-10, 4.8e-10, 4.917e-10,
2993 5.038e-10, 5.128e-10, 5.143e-10, 5.071e-10, 5.019e-10, 5.025e-10,
2994 5.183e-10, 5.496e-10, 5.877e-10, 6.235e-10, 6.42e-10, 6.234e-10,
2995 5.698e-10, 4.916e-10, 4.022e-10, 3.126e-10, 2.282e-10, 1.639e-10,
2996 1.142e-10, 7.919e-11, 5.69e-11, 4.313e-11, 3.413e-11, 2.807e-11,
2997 2.41e-11, 2.166e-11, 2.024e-11, 1.946e-11, 1.929e-11, 1.963e-11,
2998 2.035e-11, 2.162e-11, 2.305e-11, 2.493e-11, 2.748e-11, 3.048e-11,
2999 3.413e-11, 3.754e-11, 4.155e-11, 4.635e-11, 5.11e-11, 5.734e-11,
3000 6.338e-11, 6.99e-11, 7.611e-11, 8.125e-11, 8.654e-11, 8.951e-11,
3001 9.182e-11, 9.31e-11, 9.273e-11, 9.094e-11, 8.849e-11, 8.662e-11,
3002 8.67e-11, 8.972e-11, 9.566e-11, 1.025e-10, 1.083e-10, 1.111e-10,
3003 1.074e-10, 9.771e-11, 8.468e-11, 6.958e-11, 5.47e-11, 4.04e-11,
3004 2.94e-11, 2.075e-11, 1.442e-11, 1.01e-11, 7.281e-12, 5.409e-12,
3005 4.138e-12, 3.304e-12, 2.784e-12, 2.473e-12, 2.273e-12, 2.186e-12,
3006 2.118e-12, 2.066e-12, 1.958e-12, 1.818e-12, 1.675e-12, 1.509e-12,
3007 1.349e-12, 1.171e-12, 9.838e-13, 8.213e-13, 6.765e-13, 5.378e-13,
3008 4.161e-13, 3.119e-13, 2.279e-13, 1.637e-13, 1.152e-13, 8.112e-14,
3009 5.919e-14, 4.47e-14, 3.492e-14, 2.811e-14, 2.319e-14, 1.948e-14,
3010 1.66e-14, 1.432e-14, 1.251e-14, 1.109e-14, 1.006e-14, 9.45e-15,
3011 9.384e-15, 1.012e-14, 1.216e-14, 1.636e-14, 2.305e-14, 3.488e-14,
3012 5.572e-14, 8.479e-14, 1.265e-13, 1.905e-13, 2.73e-13, 3.809e-13,
3013 4.955e-13, 6.303e-13, 7.861e-13, 9.427e-13, 1.097e-12, 1.212e-12,
3014 1.328e-12, 1.415e-12, 1.463e-12, 1.495e-12, 1.571e-12, 1.731e-12,
3015 1.981e-12, 2.387e-12, 2.93e-12, 3.642e-12, 4.584e-12, 5.822e-12,
3016 7.278e-12, 9.193e-12, 1.135e-11, 1.382e-11, 1.662e-11, 1.958e-11,
3017 2.286e-11, 2.559e-11, 2.805e-11, 2.988e-11, 3.106e-11, 3.182e-11,
3018 3.2e-11, 3.258e-11, 3.362e-11, 3.558e-11, 3.688e-11, 3.8e-11,
3019 3.929e-11, 4.062e-11, 4.186e-11, 4.293e-11, 4.48e-11, 4.643e-11,
3020 4.704e-11, 4.571e-11, 4.206e-11, 3.715e-11, 3.131e-11, 2.541e-11,
3021 1.978e-11, 1.508e-11, 1.146e-11, 8.7e-12, 6.603e-12, 5.162e-12,
3022 4.157e-12, 3.408e-12, 2.829e-12, 2.405e-12, 2.071e-12, 1.826e-12,
3023 1.648e-12, 1.542e-12, 1.489e-12, 1.485e-12, 1.493e-12, 1.545e-12,
3024 1.637e-12, 1.814e-12, 2.061e-12, 2.312e-12, 2.651e-12, 3.03e-12,
3025 3.46e-12, 3.901e-12, 4.306e-12, 4.721e-12, 5.008e-12, 5.281e-12,
3026 5.541e-12, 5.791e-12, 6.115e-12, 6.442e-12, 6.68e-12, 6.791e-12,
3027 6.831e-12, 6.839e-12, 6.946e-12, 7.128e-12, 7.537e-12, 8.036e-12,
3028 8.392e-12, 8.526e-12, 8.11e-12, 7.325e-12, 6.329e-12, 5.183e-12,
3029 4.081e-12, 2.985e-12, 2.141e-12, 1.492e-12, 1.015e-12, 6.684e-13,
3030 4.414e-13, 2.987e-13, 2.038e-13, 1.391e-13, 9.86e-14, 7.24e-14,
3031 5.493e-14, 4.288e-14, 3.427e-14, 2.787e-14, 2.296e-14, 1.909e-14,
3032 1.598e-14, 1.344e-14, 1.135e-14, 9.616e-15, 8.169e-15, 6.957e-15,
3033 5.938e-15, 5.08e-15, 4.353e-15, 3.738e-15, 3.217e-15, 2.773e-15,
3034 2.397e-15, 2.077e-15, 1.805e-15, 1.575e-15, 1.382e-15, 1.221e-15,
3035 1.09e-15, 9.855e-16, 9.068e-16, 8.537e-16, 8.27e-16, 8.29e-16,
3036 8.634e-16, 9.359e-16, 1.055e-15, 1.233e-15, 1.486e-15, 1.839e-15,
3037 2.326e-15, 2.998e-15, 3.934e-15, 5.256e-15, 7.164e-15, 9.984e-15,
3038 1.427e-14, 2.099e-14, 3.196e-14, 5.121e-14, 7.908e-14, 1.131e-13,
3039 1.602e-13, 2.239e-13, 3.075e-13, 4.134e-13, 5.749e-13, 7.886e-13,
3040 1.071e-12, 1.464e-12, 2.032e-12, 2.8e-12, 3.732e-12, 4.996e-12,
3041 6.483e-12, 8.143e-12, 1.006e-11, 1.238e-11, 1.484e-11, 1.744e-11,
3042 2.02e-11, 2.274e-11, 2.562e-11, 2.848e-11, 3.191e-11, 3.617e-11,
3043 4.081e-11, 4.577e-11, 4.937e-11, 5.204e-11, 5.401e-11, 5.462e-11,
3044 5.507e-11, 5.51e-11, 5.605e-11, 5.686e-11, 5.739e-11, 5.766e-11,
3045 5.74e-11, 5.754e-11, 5.761e-11, 5.777e-11, 5.712e-11, 5.51e-11,
3046 5.088e-11, 4.438e-11, 3.728e-11, 2.994e-11, 2.305e-11, 1.715e-11,
3047 1.256e-11, 9.208e-12, 6.745e-12, 5.014e-12, 3.785e-12, 2.9e-12,
3048 2.239e-12, 1.757e-12, 1.414e-12, 1.142e-12, 9.482e-13, 8.01e-13,
3049 6.961e-13, 6.253e-13, 5.735e-13, 5.433e-13, 5.352e-13, 5.493e-13,
3050 5.706e-13, 6.068e-13, 6.531e-13, 7.109e-13, 7.767e-13, 8.59e-13,
3051 9.792e-13, 1.142e-12, 1.371e-12, 1.65e-12, 1.957e-12, 2.302e-12,
3052 2.705e-12, 3.145e-12, 3.608e-12, 4.071e-12, 4.602e-12, 5.133e-12,
3053 5.572e-12, 5.987e-12, 6.248e-12, 6.533e-12, 6.757e-12, 6.935e-12,
3054 7.224e-12, 7.422e-12, 7.538e-12, 7.547e-12, 7.495e-12, 7.543e-12,
3055 7.725e-12, 8.139e-12, 8.627e-12, 9.146e-12, 9.443e-12, 9.318e-12,
3056 8.649e-12, 7.512e-12, 6.261e-12, 4.915e-12, 3.647e-12, 2.597e-12,
3057 1.785e-12, 1.242e-12, 8.66e-13, 6.207e-13, 4.61e-13, 3.444e-13,
3058 2.634e-13, 2.1e-13, 1.725e-13, 1.455e-13, 1.237e-13, 1.085e-13,
3059 9.513e-14, 7.978e-14, 6.603e-14, 5.288e-14, 4.084e-14, 2.952e-14,
3060 2.157e-14, 1.593e-14, 1.199e-14, 9.267e-15, 7.365e-15, 6.004e-15,
3061 4.995e-15, 4.218e-15, 3.601e-15, 3.101e-15, 2.692e-15, 2.36e-15,
3062 2.094e-15, 1.891e-15, 1.755e-15, 1.699e-15, 1.755e-15, 1.987e-15,
3063 2.506e-15, 3.506e-15, 5.289e-15, 8.311e-15, 1.325e-14, 2.129e-14,
3064 3.237e-14, 4.595e-14, 6.441e-14, 8.433e-14, 1.074e-13, 1.383e-13,
3065 1.762e-13, 2.281e-13, 2.831e-13, 3.523e-13, 4.38e-13, 5.304e-13,
3066 6.29e-13, 7.142e-13, 8.032e-13, 8.934e-13, 9.888e-13, 1.109e-12,
3067 1.261e-12, 1.462e-12, 1.74e-12, 2.099e-12, 2.535e-12, 3.008e-12,
3068 3.462e-12, 3.856e-12, 4.098e-12, 4.239e-12, 4.234e-12, 4.132e-12,
3069 3.986e-12, 3.866e-12, 3.829e-12, 3.742e-12, 3.705e-12, 3.694e-12,
3070 3.765e-12, 3.849e-12, 3.929e-12, 4.056e-12, 4.092e-12, 4.047e-12,
3071 3.792e-12, 3.407e-12, 2.953e-12, 2.429e-12, 1.931e-12, 1.46e-12,
3072 1.099e-12, 8.199e-13, 6.077e-13, 4.449e-13, 3.359e-13, 2.524e-13,
3073 1.881e-13, 1.391e-13, 1.02e-13, 7.544e-14, 5.555e-14, 4.22e-14,
3074 3.321e-14, 2.686e-14, 2.212e-14, 1.78e-14, 1.369e-14, 1.094e-14,
3075 9.13e-15, 8.101e-15, 7.828e-15, 8.393e-15, 1.012e-14, 1.259e-14,
3076 1.538e-14, 1.961e-14, 2.619e-14, 3.679e-14, 5.049e-14, 6.917e-14,
3077 8.88e-14, 1.115e-13, 1.373e-13, 1.619e-13, 1.878e-13, 2.111e-13,
3078 2.33e-13, 2.503e-13, 2.613e-13, 2.743e-13, 2.826e-13, 2.976e-13,
3079 3.162e-13, 3.36e-13, 3.491e-13, 3.541e-13, 3.595e-13, 3.608e-13,
3080 3.709e-13, 3.869e-13, 4.12e-13, 4.366e-13, 4.504e-13, 4.379e-13,
3081 3.955e-13, 3.385e-13, 2.741e-13, 2.089e-13, 1.427e-13, 9.294e-14,
3082 5.775e-14, 3.565e-14, 2.21e-14, 1.398e-14, 9.194e-15, 6.363e-15,
3083 4.644e-15, 3.55e-15, 2.808e-15, 2.274e-15, 1.871e-15, 1.557e-15,
3084 1.308e-15, 1.108e-15, 9.488e-16, 8.222e-16, 7.238e-16, 6.506e-16,
3085 6.008e-16, 5.742e-16, 5.724e-16, 5.991e-16, 6.625e-16, 7.775e-16,
3086 9.734e-16, 1.306e-15, 1.88e-15, 2.879e-15, 4.616e-15, 7.579e-15,
3087 1.248e-14, 2.03e-14, 3.244e-14, 5.171e-14, 7.394e-14, 9.676e-14,
3088 1.199e-13, 1.467e-13, 1.737e-13, 2.02e-13, 2.425e-13, 3.016e-13,
3089 3.7e-13, 4.617e-13, 5.949e-13, 7.473e-13, 9.378e-13, 1.191e-12,
3090 1.481e-12, 1.813e-12, 2.232e-12, 2.722e-12, 3.254e-12, 3.845e-12,
3091 4.458e-12, 5.048e-12, 5.511e-12, 5.898e-12, 6.204e-12, 6.293e-12,
3092 6.386e-12, 6.467e-12, 6.507e-12, 6.466e-12, 6.443e-12, 6.598e-12,
3093 6.873e-12, 7.3e-12, 7.816e-12, 8.368e-12, 8.643e-12, 8.466e-12,
3094 7.871e-12, 6.853e-12, 5.714e-12, 4.482e-12, 3.392e-12, 2.613e-12,
3095 2.008e-12, 1.562e-12, 1.228e-12, 9.888e-13, 7.646e-13, 5.769e-13,
3096 4.368e-13, 3.324e-13, 2.508e-13, 1.916e-13
3097 };
3098
3099 static const double xfcrev[15] =
3100 { 1.003, 1.009, 1.015, 1.023, 1.029, 1.033, 1.037,
3101 1.039, 1.04, 1.046, 1.036, 1.027, 1.01, 1.002, 1.
3102 };
3103
3104 double sfac;
3105
3106 /* Get H2O continuum absorption... */
3107 const double xw = nu / 10 + 1;
3108 if (xw >= 1 && xw < 2001) {
3109 const int iw = (int) xw;
3110 const double dw = xw - iw;
3111 const double ew = 1 - dw;
3112 const double cw296 = ew * h2o296[iw - 1] + dw * h2o296[iw];
3113 const double cw260 = ew * h2o260[iw - 1] + dw * h2o260[iw];
3114 const double cwfrn = ew * h2ofrn[iw - 1] + dw * h2ofrn[iw];
3115 if (nu <= 820 || nu >= 960) {
3116 sfac = 1;
3117 } else {
3118 const double xx = (nu - 820) / 10;
3119 const int ix = (int) xx;
3120 const double dx = xx - ix;
3121 sfac = (1 - dx) * xfcrev[ix] + dx * xfcrev[ix + 1];
3122 }
3123 const double ctwslf =
3124 sfac * cw296 * pow(cw260 / cw296, (296 - t) / (296 - 260));
3125 const double vf2 = POW2(nu - 370);
3126 const double vf6 = POW3(vf2);
3127 const double fscal = 36100 / (vf2 + vf6 * 1e-8 + 36100) * -.25 + 1;
3128 const double ctwfrn = cwfrn * fscal;
3129 const double a1 = nu * u * tanh(.7193876 / t * nu);
3130 const double a2 = 296 / t;
3131 const double a3 = p / P0 * (q * ctwslf + (1 - q) * ctwfrn) * 1e-20;
3132 return a1 * a2 * a3;
3133 } else
3134 return 0;
3135}
#define POW3(x)
Compute the cube of a value.
Definition: jurassic.h:1054

◆ 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 3139 of file jurassic.c.

3142 {
3143
3144 static const double ba[98] =
3145 { 0., 4.45e-8, 5.22e-8, 6.46e-8, 7.75e-8, 9.03e-8,
3146 1.06e-7, 1.21e-7, 1.37e-7, 1.57e-7, 1.75e-7, 2.01e-7, 2.3e-7,
3147 2.59e-7, 2.95e-7, 3.26e-7, 3.66e-7, 4.05e-7, 4.47e-7, 4.92e-7,
3148 5.34e-7, 5.84e-7, 6.24e-7, 6.67e-7, 7.14e-7, 7.26e-7, 7.54e-7,
3149 7.84e-7, 8.09e-7, 8.42e-7, 8.62e-7, 8.87e-7, 9.11e-7, 9.36e-7,
3150 9.76e-7, 1.03e-6, 1.11e-6, 1.23e-6, 1.39e-6, 1.61e-6, 1.76e-6,
3151 1.94e-6, 1.97e-6, 1.87e-6, 1.75e-6, 1.56e-6, 1.42e-6, 1.35e-6,
3152 1.32e-6, 1.29e-6, 1.29e-6, 1.29e-6, 1.3e-6, 1.32e-6, 1.33e-6,
3153 1.34e-6, 1.35e-6, 1.33e-6, 1.31e-6, 1.29e-6, 1.24e-6, 1.2e-6,
3154 1.16e-6, 1.1e-6, 1.04e-6, 9.96e-7, 9.38e-7, 8.63e-7, 7.98e-7,
3155 7.26e-7, 6.55e-7, 5.94e-7, 5.35e-7, 4.74e-7, 4.24e-7, 3.77e-7,
3156 3.33e-7, 2.96e-7, 2.63e-7, 2.34e-7, 2.08e-7, 1.85e-7, 1.67e-7,
3157 1.47e-7, 1.32e-7, 1.2e-7, 1.09e-7, 9.85e-8, 9.08e-8, 8.18e-8,
3158 7.56e-8, 6.85e-8, 6.14e-8, 5.83e-8, 5.77e-8, 5e-8, 4.32e-8, 0.
3159 };
3160
3161 static const double betaa[98] =
3162 { 802., 802., 761., 722., 679., 646., 609., 562.,
3163 511., 472., 436., 406., 377., 355., 338., 319., 299., 278., 255.,
3164 233., 208., 184., 149., 107., 66., 25., -13., -49., -82., -104.,
3165 -119., -130., -139., -144., -146., -146., -147., -148., -150.,
3166 -153., -160., -169., -181., -189., -195., -200., -205., -209.,
3167 -211., -210., -210., -209., -205., -199., -190., -180., -168.,
3168 -157., -143., -126., -108., -89., -63., -32., 1., 35., 65., 95.,
3169 121., 141., 152., 161., 164., 164., 161., 155., 148., 143., 137.,
3170 133., 131., 133., 139., 150., 165., 187., 213., 248., 284., 321.,
3171 372., 449., 514., 569., 609., 642., 673., 673.
3172 };
3173
3174 static const double nua[98] =
3175 { 2120., 2125., 2130., 2135., 2140., 2145., 2150.,
3176 2155., 2160., 2165., 2170., 2175., 2180., 2185., 2190., 2195.,
3177 2200., 2205., 2210., 2215., 2220., 2225., 2230., 2235., 2240.,
3178 2245., 2250., 2255., 2260., 2265., 2270., 2275., 2280., 2285.,
3179 2290., 2295., 2300., 2305., 2310., 2315., 2320., 2325., 2330.,
3180 2335., 2340., 2345., 2350., 2355., 2360., 2365., 2370., 2375.,
3181 2380., 2385., 2390., 2395., 2400., 2405., 2410., 2415., 2420.,
3182 2425., 2430., 2435., 2440., 2445., 2450., 2455., 2460., 2465.,
3183 2470., 2475., 2480., 2485., 2490., 2495., 2500., 2505., 2510.,
3184 2515., 2520., 2525., 2530., 2535., 2540., 2545., 2550., 2555.,
3185 2560., 2565., 2570., 2575., 2580., 2585., 2590., 2595., 2600., 2605.
3186 };
3187
3188 const double t0 = 273.0, tr = 296.0;
3189
3190 /* Check wavenumber range... */
3191 if (nu < nua[0] || nu > nua[97])
3192 return 0;
3193
3194 /* Interpolate B and beta... */
3195 const int idx = locate_reg(nua, 98, nu);
3196 const double b =
3197 1e6 * LIN(nua[idx], ba[idx], nua[idx + 1], ba[idx + 1], nu);
3198 const double beta =
3199 LIN(nua[idx], betaa[idx], nua[idx + 1], betaa[idx + 1], nu);
3200
3201 /* Compute absorption coefficient... */
3202 return 0.1 * POW2(p / P0 * t0 / t) * exp(beta * (1 / tr - 1 / t))
3203 * N2 * b * (N2 + (1 - N2) * (1.294 - 0.4545 * t / tr));
3204}
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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 3208 of file jurassic.c.

3211 {
3212
3213 static const double ba[90] =
3214 { 0., .061, .074, .084, .096, .12, .162, .208, .246,
3215 .285, .314, .38, .444, .5, .571, .673, .768, .853, .966, 1.097,
3216 1.214, 1.333, 1.466, 1.591, 1.693, 1.796, 1.922, 2.037, 2.154,
3217 2.264, 2.375, 2.508, 2.671, 2.847, 3.066, 3.417, 3.828, 4.204,
3218 4.453, 4.599, 4.528, 4.284, 3.955, 3.678, 3.477, 3.346, 3.29,
3219 3.251, 3.231, 3.226, 3.212, 3.192, 3.108, 3.033, 2.911, 2.798,
3220 2.646, 2.508, 2.322, 2.13, 1.928, 1.757, 1.588, 1.417, 1.253,
3221 1.109, .99, .888, .791, .678, .587, .524, .464, .403, .357, .32,
3222 .29, .267, .242, .215, .182, .16, .146, .128, .103, .087, .081,
3223 .071, .064, 0.
3224 };
3225
3226 static const double betaa[90] =
3227 { 467., 467., 400., 315., 379., 368., 475., 521.,
3228 531., 512., 442., 444., 430., 381., 335., 324., 296., 248., 215.,
3229 193., 158., 127., 101., 71., 31., -6., -26., -47., -63., -79.,
3230 -88., -88., -87., -90., -98., -99., -109., -134., -160., -167.,
3231 -164., -158., -153., -151., -156., -166., -168., -173., -170.,
3232 -161., -145., -126., -108., -84., -59., -29., 4., 41., 73., 97.,
3233 123., 159., 198., 220., 242., 256., 281., 311., 334., 319., 313.,
3234 321., 323., 310., 315., 320., 335., 361., 378., 373., 338., 319.,
3235 346., 322., 291., 290., 350., 371., 504., 504.
3236 };
3237
3238 static const double nua[90] =
3239 { 1360., 1365., 1370., 1375., 1380., 1385., 1390.,
3240 1395., 1400., 1405., 1410., 1415., 1420., 1425., 1430., 1435.,
3241 1440., 1445., 1450., 1455., 1460., 1465., 1470., 1475., 1480.,
3242 1485., 1490., 1495., 1500., 1505., 1510., 1515., 1520., 1525.,
3243 1530., 1535., 1540., 1545., 1550., 1555., 1560., 1565., 1570.,
3244 1575., 1580., 1585., 1590., 1595., 1600., 1605., 1610., 1615.,
3245 1620., 1625., 1630., 1635., 1640., 1645., 1650., 1655., 1660.,
3246 1665., 1670., 1675., 1680., 1685., 1690., 1695., 1700., 1705.,
3247 1710., 1715., 1720., 1725., 1730., 1735., 1740., 1745., 1750.,
3248 1755., 1760., 1765., 1770., 1775., 1780., 1785., 1790., 1795.,
3249 1800., 1805.
3250 };
3251
3252 const double t0 = 273, tr = 296;
3253
3254 /* Check wavenumber range... */
3255 if (nu < nua[0] || nu > nua[89])
3256 return 0;
3257
3258 /* Interpolate B and beta... */
3259 const int idx = locate_reg(nua, 90, nu);
3260 const double b = LIN(nua[idx], ba[idx], nua[idx + 1], ba[idx + 1], nu);
3261 const double beta =
3262 LIN(nua[idx], betaa[idx], nua[idx + 1], betaa[idx + 1], nu);
3263
3264 /* Compute absorption coefficient... */
3265 return 0.1 * POW2(p / P0 * t0 / t) * exp(beta * (1 / tr - 1 / t)) * O2 * b;
3266}
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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 3270 of file jurassic.c.

3274 {
3275
3276 /* Data size... */
3277 const size_t s = (size_t) atm_src->np * sizeof(double);
3278
3279 /* Copy data... */
3280 atm_dest->np = atm_src->np;
3281 memcpy(atm_dest->time, atm_src->time, s);
3282 memcpy(atm_dest->z, atm_src->z, s);
3283 memcpy(atm_dest->lon, atm_src->lon, s);
3284 memcpy(atm_dest->lat, atm_src->lat, s);
3285 memcpy(atm_dest->p, atm_src->p, s);
3286 memcpy(atm_dest->t, atm_src->t, s);
3287 for (int ig = 0; ig < ctl->ng; ig++)
3288 memcpy(atm_dest->q[ig], atm_src->q[ig], s);
3289 for (int iw = 0; iw < ctl->nw; iw++)
3290 memcpy(atm_dest->k[iw], atm_src->k[iw], s);
3291 atm_dest->clz = atm_src->clz;
3292 atm_dest->cldz = atm_src->cldz;
3293 for (int icl = 0; icl < ctl->ncl; icl++)
3294 atm_dest->clk[icl] = atm_src->clk[icl];
3295 atm_dest->sft = atm_src->sft;
3296 for (int isf = 0; isf < ctl->nsf; isf++)
3297 atm_dest->sfeps[isf] = atm_src->sfeps[isf];
3298
3299 /* Initialize... */
3300 if (init)
3301 for (int ip = 0; ip < atm_dest->np; ip++) {
3302 atm_dest->p[ip] = 0;
3303 atm_dest->t[ip] = 0;
3304 for (int ig = 0; ig < ctl->ng; ig++)
3305 atm_dest->q[ig][ip] = 0;
3306 for (int iw = 0; iw < ctl->nw; iw++)
3307 atm_dest->k[iw][ip] = 0;
3308 atm_dest->clz = 0;
3309 atm_dest->cldz = 0;
3310 for (int icl = 0; icl < ctl->ncl; icl++)
3311 atm_dest->clk[icl] = 0;
3312 atm_dest->sft = 0;
3313 for (int isf = 0; isf < ctl->nsf; isf++)
3314 atm_dest->sfeps[isf] = 1;
3315 }
3316}
double lat[NP]
Latitude [deg].
Definition: jurassic.h:1413
double lon[NP]
Longitude [deg].
Definition: jurassic.h:1410

◆ 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 3320 of file jurassic.c.

3324 {
3325
3326 /* Data size... */
3327 const size_t s = (size_t) obs_src->nr * sizeof(double);
3328
3329 /* Copy data... */
3330 obs_dest->nr = obs_src->nr;
3331 memcpy(obs_dest->time, obs_src->time, s);
3332 memcpy(obs_dest->obsz, obs_src->obsz, s);
3333 memcpy(obs_dest->obslon, obs_src->obslon, s);
3334 memcpy(obs_dest->obslat, obs_src->obslat, s);
3335 memcpy(obs_dest->vpz, obs_src->vpz, s);
3336 memcpy(obs_dest->vplon, obs_src->vplon, s);
3337 memcpy(obs_dest->vplat, obs_src->vplat, s);
3338 memcpy(obs_dest->tpz, obs_src->tpz, s);
3339 memcpy(obs_dest->tplon, obs_src->tplon, s);
3340 memcpy(obs_dest->tplat, obs_src->tplat, s);
3341 for (int id = 0; id < ctl->nd; id++)
3342 memcpy(obs_dest->rad[id], obs_src->rad[id], s);
3343 for (int id = 0; id < ctl->nd; id++)
3344 memcpy(obs_dest->tau[id], obs_src->tau[id], s);
3345
3346 /* Initialize... */
3347 if (init)
3348 for (int id = 0; id < ctl->nd; id++)
3349 for (int ir = 0; ir < obs_dest->nr; ir++)
3350 if (isfinite(obs_dest->rad[id][ir])) {
3351 obs_dest->rad[id][ir] = 0;
3352 obs_dest->tau[id][ir] = 0;
3353 }
3354}
int nd
Number of radiance channels.
Definition: jurassic.h:1472
double tau[ND][NR]
Transmittance of ray path.
Definition: jurassic.h:1716
double rad[ND][NR]
Radiance [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1719
double tplon[NR]
Tangent point longitude [deg].
Definition: jurassic.h:1710
double vpz[NR]
View point altitude [km].
Definition: jurassic.h:1698
double vplat[NR]
View point latitude [deg].
Definition: jurassic.h:1704
double obslon[NR]
Observer longitude [deg].
Definition: jurassic.h:1692
double obslat[NR]
Observer latitude [deg].
Definition: jurassic.h:1695
double obsz[NR]
Observer altitude [km].
Definition: jurassic.h:1689
double tplat[NR]
Tangent point latitude [deg].
Definition: jurassic.h:1713
double vplon[NR]
View point longitude [deg].
Definition: jurassic.h:1701
double time[NR]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1686
double tpz[NR]
Tangent point altitude [km].
Definition: jurassic.h:1707
int nr
Number of ray paths.
Definition: jurassic.h:1683

◆ 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 3358 of file jurassic.c.

3362 {
3363
3364 const int d0[12] =
3365 { 1, 32, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335 };
3366 const int d0l[12] =
3367 { 1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336 };
3368
3369 /* Get day of year... */
3370 if (year % 400 == 0 || (year % 100 != 0 && year % 4 == 0))
3371 *doy = d0l[mon - 1] + day - 1;
3372 else
3373 *doy = d0[mon - 1] + day - 1;
3374}

◆ 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 3378 of file jurassic.c.

3382 {
3383
3384 const int d0[12] =
3385 { 1, 32, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335 };
3386 const int d0l[12] =
3387 { 1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336 };
3388 int i;
3389
3390 /* Get month and day... */
3391 if (year % 400 == 0 || (year % 100 != 0 && year % 4 == 0)) {
3392 for (i = 11; i >= 0; i--)
3393 if (d0l[i] <= doy)
3394 break;
3395 *mon = i + 1;
3396 *day = doy - d0l[i] + 1;
3397 } else {
3398 for (i = 11; i >= 0; i--)
3399 if (d0[i] <= doy)
3400 break;
3401 *mon = i + 1;
3402 *day = doy - d0[i] + 1;
3403 }
3404}

◆ 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 3408 of file jurassic.c.

3410 {
3411
3412 for (int ig = 0; ig < ctl->ng; ig++)
3413 if (strcasecmp(ctl->emitter[ig], emitter) == 0)
3414 return ig;
3415
3416 return -1;
3417}

◆ 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 3421 of file jurassic.c.

3425 {
3426
3427 /* Allocate... */
3428 int *mask;
3429 ALLOC(mask, int,
3430 ND * NR);
3431
3432 /* Save observation mask... */
3433 for (int id = 0; id < ctl->nd; id++)
3434 for (int ir = 0; ir < obs->nr; ir++)
3435 mask[id * NR + ir] = !isfinite(obs->rad[id][ir]);
3436
3437 /* Hydrostatic equilibrium... */
3438 hydrostatic(ctl, atm);
3439
3440 /* CGA or EGA forward model... */
3441 if (ctl->formod == 0 || ctl->formod == 1)
3442 for (int ir = 0; ir < obs->nr; ir++)
3443 formod_pencil(ctl, tbl, atm, obs, ir);
3444
3445 /* Call RFM... */
3446 else if (ctl->formod == 2)
3447 formod_rfm(ctl, tbl, atm, obs);
3448
3449 /* Apply field-of-view convolution... */
3450 formod_fov(ctl, obs);
3451
3452 /* Convert radiance to brightness temperature... */
3453 if (ctl->write_bbt)
3454 for (int id = 0; id < ctl->nd; id++)
3455 for (int ir = 0; ir < obs->nr; ir++)
3456 obs->rad[id][ir] = BRIGHT(obs->rad[id][ir], ctl->nu[id]);
3457
3458 /* Apply observation mask... */
3459 for (int id = 0; id < ctl->nd; id++)
3460 for (int ir = 0; ir < obs->nr; ir++)
3461 if (mask[id * NR + ir])
3462 obs->rad[id][ir] = NAN;
3463
3464 /* Free... */
3465 free(mask);
3466}
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:3708
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:3570
void formod_fov(const ctl_t *ctl, obs_t *obs)
Apply field-of-view (FOV) convolution to modeled radiances.
Definition: jurassic.c:3506
void hydrostatic(const ctl_t *ctl, atm_t *atm)
Adjust pressure profile using the hydrostatic equation.
Definition: jurassic.c:3904
#define BRIGHT(rad, nu)
Compute brightness temperature from radiance.
Definition: jurassic.h:448
#define ND
Maximum number of radiance channels.
Definition: jurassic.h:288
#define NR
Maximum number of ray paths.
Definition: jurassic.h:318
double nu[ND]
Centroid wavenumber of each channel [cm^-1].
Definition: jurassic.h:1475
int formod
Forward model (0=CGA, 1=EGA, 2=RFM).
Definition: jurassic.h:1598
int write_bbt
Use brightness temperature instead of radiance (0=no, 1=yes).
Definition: jurassic.h:1592
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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 3470 of file jurassic.c.

3474 {
3475
3476 /* Extinction... */
3477 for (int id = 0; id < ctl->nd; id++)
3478 beta[id] = los->k[ip][id];
3479
3480 /* CO2 continuum... */
3481 if (ctl->ctm_co2 && ctl->ig_co2 >= 0)
3482 for (int id = 0; id < ctl->nd; id++)
3483 beta[id] += ctmco2(ctl->nu[id], los->p[ip], los->t[ip],
3484 los->u[ip][ctl->ig_co2]) / los->ds[ip];
3485
3486 /* H2O continuum... */
3487 if (ctl->ctm_h2o && ctl->ig_h2o >= 0)
3488 for (int id = 0; id < ctl->nd; id++)
3489 beta[id] += ctmh2o(ctl->nu[id], los->p[ip], los->t[ip],
3490 los->q[ip][ctl->ig_h2o], los->u[ip][ctl->ig_h2o])
3491 / los->ds[ip];
3492
3493 /* N2 continuum... */
3494 if (ctl->ctm_n2)
3495 for (int id = 0; id < ctl->nd; id++)
3496 beta[id] += ctmn2(ctl->nu[id], los->p[ip], los->t[ip]);
3497
3498 /* O2 continuum... */
3499 if (ctl->ctm_o2)
3500 for (int id = 0; id < ctl->nd; id++)
3501 beta[id] += ctmo2(ctl->nu[id], los->p[ip], los->t[ip]);
3502}
double ctmo2(const double nu, const double p, const double t)
Compute O₂ collision-induced absorption coefficient.
Definition: jurassic.c:3208
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:2087
double ctmco2(const double nu, const double p, const double t, const double u)
Compute carbon dioxide continuum (optical depth).
Definition: jurassic.c:1224
double ctmn2(const double nu, const double p, const double t)
Compute N₂ collision-induced absorption coefficient.
Definition: jurassic.c:3139
int ctm_co2
Compute CO2 continuum (0=no, 1=yes).
Definition: jurassic.h:1520
int ctm_n2
Compute N2 continuum (0=no, 1=yes).
Definition: jurassic.h:1526
int ctm_h2o
Compute H2O continuum (0=no, 1=yes).
Definition: jurassic.h:1523
int ctm_o2
Compute O2 continuum (0=no, 1=yes).
Definition: jurassic.h:1529
int ig_h2o
Emitter index of H2O.
Definition: jurassic.h:1463
double q[NLOS][NG]
Volume mixing ratio [ppv].
Definition: jurassic.h:1639
double ds[NLOS]
Segment length [km].
Definition: jurassic.h:1651
double u[NLOS][NG]
Column density [molecules/cm^2].
Definition: jurassic.h:1654
double k[NLOS][ND]
Extinction [km^-1].
Definition: jurassic.h:1642
double t[NLOS]
Temperature [K].
Definition: jurassic.h:1636
double p[NLOS]
Pressure [hPa].
Definition: jurassic.h:1633
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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 3506 of file jurassic.c.

3508 {
3509
3510 double rad[ND][NR], tau[ND][NR], z[NR];
3511
3512 /* Do not take into account FOV... */
3513 if (ctl->fov[0] == '-')
3514 return;
3515
3516 /* Allocate... */
3517 obs_t *obs2;
3518 ALLOC(obs2, obs_t, 1);
3519
3520 /* Copy observation data... */
3521 copy_obs(ctl, obs2, obs, 0);
3522
3523 /* Loop over ray paths... */
3524 for (int ir = 0; ir < obs->nr; ir++) {
3525
3526 /* Get radiance and transmittance profiles... */
3527 int nz = 0;
3528 for (int ir2 = MAX(ir - NFOV, 0);
3529 ir2 < MIN(ir + 1 + NFOV, obs->nr); ir2++)
3530 if (obs->time[ir2] == obs->time[ir]) {
3531 z[nz] = obs2->vpz[ir2];
3532 for (int id = 0; id < ctl->nd; id++) {
3533 rad[id][nz] = obs2->rad[id][ir2];
3534 tau[id][nz] = obs2->tau[id][ir2];
3535 }
3536 nz++;
3537 }
3538 if (nz < 2)
3539 ERRMSG("Cannot apply FOV convolution!");
3540
3541 /* Convolute profiles with FOV... */
3542 double wsum = 0;
3543 for (int id = 0; id < ctl->nd; id++) {
3544 obs->rad[id][ir] = 0;
3545 obs->tau[id][ir] = 0;
3546 }
3547 for (int i = 0; i < ctl->fov_n; i++) {
3548 const double zfov = obs->vpz[ir] + ctl->fov_dz[i];
3549 const int idx = locate_irr(z, nz, zfov);
3550 for (int id = 0; id < ctl->nd; id++) {
3551 obs->rad[id][ir] += ctl->fov_w[i]
3552 * LIN(z[idx], rad[id][idx], z[idx + 1], rad[id][idx + 1], zfov);
3553 obs->tau[id][ir] += ctl->fov_w[i]
3554 * LIN(z[idx], tau[id][idx], z[idx + 1], tau[id][idx + 1], zfov);
3555 }
3556 wsum += ctl->fov_w[i];
3557 }
3558 for (int id = 0; id < ctl->nd; id++) {
3559 obs->rad[id][ir] /= wsum;
3560 obs->tau[id][ir] /= wsum;
3561 }
3562 }
3563
3564 /* Free... */
3565 free(obs2);
3566}
int locate_irr(const double *xx, const int n, const double x)
Locate index for interpolation on an irregular grid.
Definition: jurassic.c:4488
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:3320
#define NFOV
Number of ray paths used for FOV calculations.
Definition: jurassic.h:293
#define MIN(a, b)
Determine the minimum of two values.
Definition: jurassic.h:684
#define ERRMSG(...)
Print an error message with contextual information and terminate the program.
Definition: jurassic.h:1348
#define MAX(a, b)
Determine the maximum of two values.
Definition: jurassic.h:666
char fov[LEN]
Field-of-view data file.
Definition: jurassic.h:1541
int fov_n
Field-of-view number of data points.
Definition: jurassic.h:1550
double fov_dz[NSHAPE]
Field-of-view vertical distance [km].
Definition: jurassic.h:1544
double fov_w[NSHAPE]
Field-of-view weighting factor.
Definition: jurassic.h:1547
Observation geometry and radiance data.
Definition: jurassic.h:1680
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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 3570 of file jurassic.c.

3575 {
3576
3577 double rad[ND], tau[ND], tau_path[ND][NG];
3578
3579 /* Allocate... */
3580 los_t *los;
3581 ALLOC(los, los_t, 1);
3582
3583 /* Initialize... */
3584 for (int id = 0; id < ctl->nd; id++) {
3585 rad[id] = 0;
3586 tau[id] = 1;
3587 for (int ig = 0; ig < ctl->ng; ig++)
3588 tau_path[id][ig] = 1;
3589 }
3590
3591 /* Raytracing... */
3592 raytrace(ctl, atm, obs, los, ir);
3593
3594 /* Loop over LOS points... */
3595 for (int ip = 0; ip < los->np; ip++) {
3596
3597 /* Get trace gas transmittance... */
3598 double tau_gas[ND];
3599 if (ctl->formod == 0)
3600 intpol_tbl_cga(ctl, tbl, los, ip, tau_path, tau_gas);
3601 else
3602 intpol_tbl_ega(ctl, tbl, los, ip, tau_path, tau_gas);
3603
3604 /* Get continuum absorption... */
3605 double beta_ctm[ND];
3606 formod_continua(ctl, los, ip, beta_ctm);
3607
3608 /* Compute Planck function... */
3609 formod_srcfunc(ctl, tbl, los->t[ip], los->src[ip]);
3610
3611 /* Loop over channels... */
3612 for (int id = 0; id < ctl->nd; id++)
3613 if (tau_gas[id] >= 0) {
3614
3615 /* Get segment emissivity. An exactly zero transmittance represents
3616 a fully opaque segment and must contribute with emissivity one. */
3617 los->eps[ip][id] = 1 - tau_gas[id] * exp(-beta_ctm[id] * los->ds[ip]);
3618
3619 /* Compute radiance... */
3620 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau[id];
3621
3622 /* Compute path transmittance... */
3623 tau[id] *= (1 - los->eps[ip][id]);
3624 }
3625 }
3626
3627 /* Check whether LOS hit the ground... */
3628 if (ctl->sftype >= 1 && los->sft > 0) {
3629
3630 /* Add surface emissions... */
3631 double src_sf[ND];
3632 formod_srcfunc(ctl, tbl, los->sft, src_sf);
3633 for (int id = 0; id < ctl->nd; id++)
3634 rad[id] += los->sfeps[id] * src_sf[id] * tau[id];
3635
3636 /* Check reflectivity... */
3637 int refl = 0;
3638 if (ctl->sftype >= 2)
3639 for (int id = 0; id < ctl->nd; id++)
3640 if (los->sfeps[id] < 1) {
3641 refl = 1;
3642 break;
3643 }
3644
3645 /* Calculate reflection... */
3646 if (refl) {
3647
3648 /* Initialize... */
3649 double tau_refl[ND];
3650 for (int id = 0; id < ctl->nd; id++)
3651 tau_refl[id] = 1;
3652
3653 /* Add down-welling radiance... */
3654 for (int ip = los->np - 1; ip >= 0; ip--)
3655 for (int id = 0; id < ctl->nd; id++) {
3656 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau_refl[id]
3657 * tau[id] * (1 - los->sfeps[id]);
3658 tau_refl[id] *= (1 - los->eps[ip][id]);
3659 }
3660
3661 /* Add solar term... */
3662 if (ctl->sftype >= 3) {
3663
3664 /* Get cosine of solar zenith angle... */
3665 double cos_sza_val;
3666 if (ctl->sfsza < 0)
3667 cos_sza_val = cos_sza(obs->time[ir],
3668 los->lon[los->np - 1], los->lat[los->np - 1]);
3669 else
3670 cos_sza_val = cos(DEG2RAD(ctl->sfsza));
3671
3672 /* Check validity (avoid division by zero)... */
3673 if (cos_sza_val > 1e-6) {
3674
3675 /* Compute incidence direction cosine... */
3676 double x0[3], x1[3];
3677 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
3678 los->lat[los->np - 1], x0);
3679 geo2cart(los->z[0], los->lon[0], los->lat[0], x1);
3680 for (int i = 0; i < 3; i++)
3681 x1[i] -= x0[i];
3682 const double cosa = DOTP(x0, x1) / NORM(x0) / NORM(x1);
3683
3684 /* Ratio of incident direction to solar zenith direction... */
3685 const double rcos = cosa / cos_sza_val;
3686
3687 /* Add solar radiance contribution... */
3688 for (int id = 0; id < ctl->nd; id++)
3689 rad[id] += 6.764e-5 / (2. * M_PI) * PLANCK(TSUN, ctl->nu[id])
3690 * tau_refl[id] * (1 - los->sfeps[id]) * tau[id] * rcos;
3691 }
3692 }
3693 }
3694 }
3695
3696 /* Copy results... */
3697 for (int id = 0; id < ctl->nd; id++) {
3698 obs->rad[id][ir] = rad[id];
3699 obs->tau[id][ir] = tau[id];
3700 }
3701
3702 /* Free... */
3703 free(los);
3704}
double cos_sza(const double sec, const double lon, const double lat)
Calculates the cosine of the solar zenith angle.
Definition: jurassic.c:1152
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:4168
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:3470
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:4974
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:4075
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:3869
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:3886
#define DOTP(a, b)
Compute dot product of two 3D vectors.
Definition: jurassic.h:558
#define TSUN
Effective temperature of the sun [K].
Definition: jurassic.h:249
#define PLANCK(T, nu)
Compute spectral radiance using Planck’s law.
Definition: jurassic.h:1027
double sfsza
Solar zenith angle at the surface [deg] (-999=auto).
Definition: jurassic.h:1499
int sftype
Surface treatment (0=none, 1=emissions, 2=downward, 3=solar).
Definition: jurassic.h:1496
Line-of-sight data.
Definition: jurassic.h:1618
double z[NLOS]
Altitude [km].
Definition: jurassic.h:1624
double eps[NLOS][ND]
Segment emissivity.
Definition: jurassic.h:1666
double sft
Surface temperature [K].
Definition: jurassic.h:1645
double lon[NLOS]
Longitude [deg].
Definition: jurassic.h:1627
int np
Number of LOS points.
Definition: jurassic.h:1621
double lat[NLOS]
Latitude [deg].
Definition: jurassic.h:1630
double src[NLOS][ND]
Segment source function [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1669
double sfeps[ND]
Surface emissivity.
Definition: jurassic.h:1648
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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 3708 of file jurassic.c.

3712 {
3713
3714 los_t *los;
3715
3716 char cmd[2 * LEN], rfmflg[LEN] = { "RAD TRA MIX LIN SFC" };
3717
3718 double f[NSHAPE], nu[NSHAPE], nu0, nu1, obsz = -999, tsurf,
3719 xd[3], xo[3], xv[3], z[NR], zmin, zmax;
3720
3721 int n, nadir = 0, zenith = 0;
3722
3723 /* Allocate... */
3724 ALLOC(los, los_t, 1);
3725
3726 /* Check observer positions... */
3727 for (int ir = 1; ir < obs->nr; ir++)
3728 if (obs->obsz[ir] != obs->obsz[0]
3729 || obs->obslon[ir] != obs->obslon[0]
3730 || obs->obslat[ir] != obs->obslat[0])
3731 ERRMSG("RFM interface requires identical observer positions!");
3732
3733 /* Check extinction data... */
3734 for (int iw = 0; iw < ctl->nw; iw++)
3735 for (int ip = 0; ip < atm->np; ip++)
3736 if (atm->k[iw][ip] != 0)
3737 ERRMSG("RFM interface cannot handle extinction data!");
3738
3739 /* Get altitude range of atmospheric data... */
3740 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
3741
3742 /* Observer within atmosphere? */
3743 if (obs->obsz[0] >= zmin && obs->obsz[0] <= zmax) {
3744 obsz = obs->obsz[0];
3745 strcat(rfmflg, " OBS");
3746 }
3747
3748 /* Determine tangent altitude or air mass factor... */
3749 for (int ir = 0; ir < obs->nr; ir++) {
3750
3751 /* Raytracing... */
3752 raytrace(ctl, atm, obs, los, ir);
3753
3754 /* Nadir or zenith? (air mass factor / secant of zenith angle) */
3755 if (obs->tpz[ir] <= zmin) {
3756
3757 /* Nadir: path intersects the surface. */
3758 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3759 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3760 for (int i = 0; i < 3; i++)
3761 xd[i] = xo[i] - xv[i];
3762 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3763 nadir++;
3764
3765 } else if (obs->tpz[ir] >= zmax - 1e-3 && obs->vpz[ir] > obs->obsz[ir]) {
3766
3767 /* Zenith: upward-looking path leaves the atmosphere at the top boundary. */
3768 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3769 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3770 for (int i = 0; i < 3; i++)
3771 xd[i] = xv[i] - xo[i];
3772 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3773 zenith++;
3774
3775 } else
3776 /* Limb: use tangent altitude. */
3777 z[ir] = obs->tpz[ir];
3778 }
3779 if ((nadir > 0 && nadir < obs->nr)
3780 || (zenith > 0 && zenith < obs->nr)
3781 || (nadir > 0 && zenith > 0))
3782 ERRMSG("Limb, nadir, and zenith not simultaneously possible!");
3783
3784 /* Viewing geometry... */
3785 if (nadir)
3786 strcat(rfmflg, " NAD");
3787 if (zenith)
3788 strcat(rfmflg, " ZEN");
3789
3790 /* Get surface temperature... */
3791 tsurf = atm->t[gsl_stats_min_index(atm->z, 1, (size_t) atm->np)];
3792
3793 /* Refraction? */
3794 if (!nadir && !zenith && !ctl->refrac)
3795 strcat(rfmflg, " GEO");
3796
3797 /* Continua? */
3798 if (ctl->ctm_co2 || ctl->ctm_h2o || ctl->ctm_n2 || ctl->ctm_o2)
3799 strcat(rfmflg, " CTM");
3800
3801 /* Write atmospheric data file... */
3802 write_atm_rfm("rfm.atm", ctl, atm);
3803
3804 /* Loop over channels... */
3805 for (int id = 0; id < ctl->nd; id++) {
3806
3807 /* Get filter function from lookup table... */
3808 n = tbl->filt_n[id];
3809 if (n <= 0 || n > NSHAPE)
3810 ERRMSG("Missing or invalid filter function in lookup table!");
3811 memcpy(nu, tbl->filt_nu[id], (size_t) n * sizeof(double));
3812 memcpy(f, tbl->filt_f[id], (size_t) n * sizeof(double));
3813
3814 /* Set spectral range... */
3815 nu0 = nu[0];
3816 nu1 = nu[n - 1];
3817
3818 /* Create RFM driver file... */
3819 FILE *out;
3820 if (!(out = fopen("rfm.drv", "w")))
3821 ERRMSG("Cannot create file!");
3822 fprintf(out, "*HDR\nRFM call by JURASSIC.\n");
3823 fprintf(out, "*FLG\n%s\n", rfmflg);
3824 fprintf(out, "*SPC\n%.4f %.4f 0.0005\n", nu0, nu1);
3825 fprintf(out, "*GAS\n");
3826 for (int ig = 0; ig < ctl->ng; ig++)
3827 fprintf(out, "%s\n", ctl->emitter[ig]);
3828 fprintf(out, "*ATM\nrfm.atm\n");
3829 fprintf(out, "*TAN\n");
3830 for (int ir = 0; ir < obs->nr; ir++)
3831 fprintf(out, "%g\n", z[ir]);
3832 fprintf(out, "*SFC\n%g 1.0\n", tsurf);
3833 if (obsz >= 0)
3834 fprintf(out, "*OBS\n%g\n", obsz);
3835 fprintf(out, "*HIT\n%s\n", ctl->rfmhit);
3836 fprintf(out, "*XSC\n");
3837 for (int ig = 0; ig < ctl->ng; ig++)
3838 if (ctl->rfmxsc[ig][0] != '-')
3839 fprintf(out, "%s\n", ctl->rfmxsc[ig]);
3840 fprintf(out, "*END\n");
3841 fclose(out);
3842
3843 /* Remove temporary files... */
3844 if (system("rm -f rfm.runlog rad_*.asc tra_*.asc"))
3845 ERRMSG("Cannot remove temporary files!");
3846
3847 /* Call RFM... */
3848 sprintf(cmd, "echo | %s", ctl->rfmbin);
3849 if (system(cmd))
3850 ERRMSG("Error while calling RFM!");
3851
3852 /* Read data... */
3853 for (int ir = 0; ir < obs->nr; ir++) {
3854 obs->rad[id][ir] = read_obs_rfm("rad", z[ir], nu, f, n) * 1e-5;
3855 obs->tau[id][ir] = read_obs_rfm("tra", z[ir], nu, f, n);
3856 }
3857 }
3858
3859 /* Remove temporary files... */
3860 if (system("rm -f rfm.drv rfm.atm rfm.runlog rad_*.asc tra_*.asc"))
3861 ERRMSG("Error while removing temporary files!");
3862
3863 /* Free... */
3864 free(los);
3865}
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:6098
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:7728
#define LEN
Maximum length of ASCII data lines.
Definition: jurassic.h:268
#define NSHAPE
Maximum number of shape function grid points.
Definition: jurassic.h:328
char rfmhit[LEN]
HITRAN file for RFM.
Definition: jurassic.h:1604
char rfmbin[LEN]
Path to RFM binary.
Definition: jurassic.h:1601
char rfmxsc[NG][LEN]
Emitter cross-section files for RFM.
Definition: jurassic.h:1607
int refrac
Take into account refractivity (0=no, 1=yes).
Definition: jurassic.h:1532
int filt_n[ND]
Filter function number of spectral grid points.
Definition: jurassic.h:1892
double filt_f[ND][NSHAPE]
Filter function values.
Definition: jurassic.h:1898
double filt_nu[ND][NSHAPE]
Filter function spectral grid points [cm^-1].
Definition: jurassic.h:1895
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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 3869 of file jurassic.c.

3873 {
3874
3875 /* Determine index in temperature array... */
3876 const int it = locate_reg(tbl->st, TBLNS, t);
3877
3878 /* Interpolate Planck function value... */
3879 for (int id = 0; id < ctl->nd; id++)
3880 src[id] = LIN(tbl->st[it], tbl->sr[it][id],
3881 tbl->st[it + 1], tbl->sr[it + 1][id], t);
3882}
#define TBLNS
Maximum number of source function temperature levels.
Definition: jurassic.h:353
double sr[TBLNS][ND]
Source function radiance [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1904
double st[TBLNS]
Source function temperature [K].
Definition: jurassic.h:1901
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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 3886 of file jurassic.c.

3890 {
3891
3892 const double radius = z + RE;
3893 const double latrad = lat / 180. * M_PI;
3894 const double lonrad = lon / 180. * M_PI;
3895 const double coslat = cos(latrad);
3896
3897 x[0] = radius * coslat * cos(lonrad);
3898 x[1] = radius * coslat * sin(lonrad);
3899 x[2] = radius * sin(latrad);
3900}

◆ 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 3904 of file jurassic.c.

3906 {
3907
3908 const double mmair = 28.96456e-3, mmh2o = 18.0153e-3;
3909
3910 const int ipts = 20;
3911
3912 double dzmin = 1e99, e = 0;
3913
3914 int ipref = 0;
3915
3916 /* Check reference height... */
3917 if (ctl->hydz < 0)
3918 return;
3919
3920 /* Find air parcel next to reference height... */
3921 for (int ip = 0; ip < atm->np; ip++)
3922 if (fabs(atm->z[ip] - ctl->hydz) < dzmin) {
3923 dzmin = fabs(atm->z[ip] - ctl->hydz);
3924 ipref = ip;
3925 }
3926
3927 /* Upper part of profile... */
3928 for (int ip = ipref + 1; ip < atm->np; ip++) {
3929 double mean = 0;
3930 for (int i = 0; i < ipts; i++) {
3931 if (ctl->ig_h2o >= 0)
3932 e = LIN(0.0, atm->q[ctl->ig_h2o][ip - 1],
3933 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3934 mean += (e * mmh2o + (1 - e) * mmair)
3935 * G0 / RI
3936 / LIN(0.0, atm->t[ip - 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3937 }
3938
3939 /* Compute p(z,T)... */
3940 atm->p[ip] =
3941 exp(log(atm->p[ip - 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip - 1]));
3942 }
3943
3944 /* Lower part of profile... */
3945 for (int ip = ipref - 1; ip >= 0; ip--) {
3946 double mean = 0;
3947 for (int i = 0; i < ipts; i++) {
3948 if (ctl->ig_h2o >= 0)
3949 e = LIN(0.0, atm->q[ctl->ig_h2o][ip + 1],
3950 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3951 mean += (e * mmh2o + (1 - e) * mmair)
3952 * G0 / RI
3953 / LIN(0.0, atm->t[ip + 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3954 }
3955
3956 /* Compute p(z,T)... */
3957 atm->p[ip] =
3958 exp(log(atm->p[ip + 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip + 1]));
3959 }
3960}
#define G0
Standard gravity [m/s^2].
Definition: jurassic.h:184
#define RI
Ideal gas constant [J/(mol K)].
Definition: jurassic.h:229
double hydz
Reference height for hydrostatic pressure profile (-999 to skip) [km].
Definition: jurassic.h:1517

◆ 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 3964 of file jurassic.c.

3967 {
3968
3969 if (idx == IDXP)
3970 sprintf(quantity, "PRESSURE");
3971
3972 if (idx == IDXT)
3973 sprintf(quantity, "TEMPERATURE");
3974
3975 for (int ig = 0; ig < ctl->ng; ig++)
3976 if (idx == IDXQ(ig))
3977 sprintf(quantity, "%s", ctl->emitter[ig]);
3978
3979 for (int iw = 0; iw < ctl->nw; iw++)
3980 if (idx == IDXK(iw))
3981 sprintf(quantity, "EXTINCT_WINDOW_%d", iw);
3982
3983 if (idx == IDXCLZ)
3984 sprintf(quantity, "CLOUD_HEIGHT");
3985
3986 if (idx == IDXCLDZ)
3987 sprintf(quantity, "CLOUD_DEPTH");
3988
3989 for (int icl = 0; icl < ctl->ncl; icl++)
3990 if (idx == IDXCLK(icl))
3991 sprintf(quantity, "CLOUD_EXTINCT_%.4f", ctl->clnu[icl]);
3992
3993 if (idx == IDXSFT)
3994 sprintf(quantity, "SURFACE_TEMPERATURE");
3995
3996 for (int isf = 0; isf < ctl->nsf; isf++)
3997 if (idx == IDXSFEPS(isf))
3998 sprintf(quantity, "SURFACE_EMISSIVITY_%.4f", ctl->sfnu[isf]);
3999}
double sfnu[NSF]
Surface layer wavenumber [cm^-1].
Definition: jurassic.h:1493
double clnu[NCL]
Cloud layer wavenumber [cm^-1].
Definition: jurassic.h:1487

◆ 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 4003 of file jurassic.c.

4005 {
4006
4007 /* Write info... */
4008 LOG(1, "Initialize source function table...");
4009 LOG(2, "Number of data points: %d", TBLNS);
4010
4011 /* Loop over channels... */
4012 for (int id = 0; id < ctl->nd; id++) {
4013
4014 /* Get minimum grid spacing... */
4015 double dnu = 1.0;
4016 for (int i = 1; i < tbl->filt_n[id]; i++)
4017 dnu = MIN(dnu, tbl->filt_nu[id][i] - tbl->filt_nu[id][i - 1]);
4018
4019 /* Compute source function table... */
4020#pragma omp parallel for default(none) shared(ctl,tbl,id,dnu)
4021 for (int it = 0; it < TBLNS; it++) {
4022
4023 /* Set temperature... */
4024 tbl->st[it] = LIN(0.0, TMIN, TBLNS - 1.0, TMAX, (double) it);
4025
4026 /* Integrate Planck function... */
4027 double fsum = tbl->sr[it][id] = 0;
4028 for (double fnu = tbl->filt_nu[id][0];
4029 fnu <= tbl->filt_nu[id][tbl->filt_n[id] - 1]; fnu += dnu) {
4030 const int i = locate_irr(tbl->filt_nu[id], tbl->filt_n[id], fnu);
4031 const double ff = LIN(tbl->filt_nu[id][i], tbl->filt_f[id][i],
4032 tbl->filt_nu[id][i + 1], tbl->filt_f[id][i + 1],
4033 fnu);
4034 fsum += ff;
4035 tbl->sr[it][id] += ff * PLANCK(tbl->st[it], fnu);
4036 }
4037 tbl->sr[it][id] /= fsum;
4038 }
4039
4040 /* Write info... */
4041 LOG(2,
4042 "channel= %.4f cm^-1 | T= %g ... %g K | B= %g ... %g W/(m^2 sr cm^-1)",
4043 ctl->nu[id], tbl->st[0], tbl->st[TBLNS - 1], tbl->sr[0][id],
4044 tbl->sr[TBLNS - 1][id]);
4045 }
4046}
#define LOG(level,...)
Print a log message with a specified logging level.
Definition: jurassic.h:1278
#define TMAX
Maximum temperature for source function [K].
Definition: jurassic.h:239
#define TMIN
Minimum temperature for source function [K].
Definition: jurassic.h:244
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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 4050 of file jurassic.c.

4057 {
4058
4059 /* Get array index... */
4060 const int ip = locate_irr(atm->z, atm->np, z);
4061
4062 /* Interpolate... */
4063 *p = LOGY(atm->z[ip], atm->p[ip], atm->z[ip + 1], atm->p[ip + 1], z);
4064 *t = LIN(atm->z[ip], atm->t[ip], atm->z[ip + 1], atm->t[ip + 1], z);
4065 for (int ig = 0; ig < ctl->ng; ig++)
4066 q[ig] =
4067 LIN(atm->z[ip], atm->q[ig][ip], atm->z[ip + 1], atm->q[ig][ip + 1], z);
4068 for (int iw = 0; iw < ctl->nw; iw++)
4069 k[iw] =
4070 LIN(atm->z[ip], atm->k[iw][ip], atm->z[ip + 1], atm->k[iw][ip + 1], z);
4071}
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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 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, locate_irr, locate_reg
Author
Lars Hoffmann

Definition at line 4075 of file jurassic.c.

4081 {
4082
4083 double eps, lnp[NG];
4084
4085 /* Precompute log-pressure... */
4086 for (int ig = 0; ig < ctl->ng; ig++)
4087 lnp[ig] = log(los->cgp[ip][ig]);
4088
4089 /* Loop over channels... */
4090 for (int id = 0; id < ctl->nd; id++) {
4091
4092 /* Initialize... */
4093 tau_seg[id] = 1;
4094
4095 /* Loop over emitters.... */
4096 for (int ig = 0; ig < ctl->ng; ig++) {
4097
4098 /* Check size of table (pressure) and column density... */
4099 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4100 eps = 0;
4101
4102 /* Check transmittance... */
4103 else if (tau_path[id][ig] < 1e-9)
4104 eps = 1;
4105
4106 /* Interpolate... */
4107 else {
4108
4109 /* Determine pressure and temperature indices... */
4110 const int ipr =
4111 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->cgp[ip][ig]);
4112 const int it0 = locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr],
4113 los->cgt[ip][ig]);
4114 const int it1 =
4115 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4116 los->cgt[ip][ig]);
4117
4118 /* Check size of table (temperature and column density)... */
4119 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4120 || tbl->nu[id][ig][ipr][it0] < 2
4121 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4122 || tbl->nu[id][ig][ipr + 1][it1] < 2
4123 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4124 eps = 0;
4125
4126 else {
4127
4128 /* Get emissivities of extended path... */
4129 const double logu = log(los->cgu[ip][ig]);
4130 double eps00 = intpol_tbl_eps(tbl, ig, id, ipr, it0, logu);
4131 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1, logu);
4132 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1, logu);
4133 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1, logu);
4134
4135 /* Interpolate with respect to temperature... */
4136 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4137 tbl->t[id][ig][ipr][it0 + 1], eps01, los->cgt[ip][ig]);
4138 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4139 tbl->t[id][ig][ipr + 1][it1 + 1],
4140 eps11, los->cgt[ip][ig]);
4141
4142 /* Interpolate with respect to log-pressure... */
4143 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4144 tbl->lnp[id][ig][ipr + 1], eps11, lnp[ig]);
4145
4146 /* Check emissivity range... */
4147 eps00 = CLAMP(eps00, 0, 1);
4148
4149 /* Determine segment emissivity... */
4150 eps = 1 - (1 - eps00) / tau_path[id][ig];
4151
4152 /* Check emissivity range... */
4153 eps = CLAMP(eps, 0, 1);
4154 }
4155 }
4156
4157 /* Get transmittance of extended path... */
4158 tau_path[id][ig] *= (1 - eps);
4159
4160 /* Get segment transmittance... */
4161 tau_seg[id] *= (1 - eps);
4162 }
4163 }
4164}
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:4270
#define CLAMP(v, lo, hi)
Clamp a value to a specified range.
Definition: jurassic.h:470
double cgu[NLOS][NG]
Curtis-Godson column density [molecules/cm^2].
Definition: jurassic.h:1663
double cgt[NLOS][NG]
Curtis-Godson temperature [K].
Definition: jurassic.h:1660
double cgp[NLOS][NG]
Curtis-Godson pressure [hPa].
Definition: jurassic.h:1657
double p[ND][NG][TBLNP]
Pressure [hPa].
Definition: jurassic.h:1877
int nu[ND][NG][TBLNP][TBLNT]
Number of column densities.
Definition: jurassic.h:1874
int nt[ND][NG][TBLNP]
Number of temperatures.
Definition: jurassic.h:1871
double t[ND][NG][TBLNP][TBLNT]
Temperature [K].
Definition: jurassic.h:1883
double lnp[ND][NG][TBLNP]
Log-pressure [hPa].
Definition: jurassic.h:1880
int np[ND][NG]
Number of pressure levels.
Definition: jurassic.h:1868
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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 4168 of file jurassic.c.

4174 {
4175
4176 const double lnp = log(los->p[ip]);
4177
4178 double eps, u;
4179
4180 /* Loop over channels... */
4181 for (int id = 0; id < ctl->nd; id++) {
4182
4183 /* Initialize... */
4184 tau_seg[id] = 1;
4185
4186 /* Loop over emitters.... */
4187 for (int ig = 0; ig < ctl->ng; ig++) {
4188
4189 /* Check size of table (pressure) and column density... */
4190 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4191 eps = 0;
4192
4193 /* Check transmittance... */
4194 else if (tau_path[id][ig] < 1e-9)
4195 eps = 1;
4196
4197 /* Interpolate... */
4198 else {
4199
4200 /* Determine pressure and temperature indices... */
4201 const int ipr =
4202 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->p[ip]);
4203 const int it0 =
4204 locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr], los->t[ip]);
4205 const int it1 =
4206 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4207 los->t[ip]);
4208
4209 /* Check size of table (temperature and column density)... */
4210 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4211 || tbl->nu[id][ig][ipr][it0] < 2
4212 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4213 || tbl->nu[id][ig][ipr + 1][it1] < 2
4214 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4215 eps = 0;
4216
4217 else {
4218
4219 /* Get emissivities of extended path... */
4220 const double logeps = log(1.0 - tau_path[id][ig]);
4221
4222 u = intpol_tbl_u(tbl, ig, id, ipr, it0, logeps);
4223 double eps00
4224 = intpol_tbl_eps(tbl, ig, id, ipr, it0, log(u + los->u[ip][ig]));
4225
4226 u = intpol_tbl_u(tbl, ig, id, ipr, it0 + 1, logeps);
4227 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1,
4228 log(u + los->u[ip][ig]));
4229
4230 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1, logeps);
4231 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1,
4232 log(u + los->u[ip][ig]));
4233
4234 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1 + 1, logeps);
4235 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1,
4236 log(u + los->u[ip][ig]));
4237
4238 /* Interpolate with respect to temperature... */
4239 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4240 tbl->t[id][ig][ipr][it0 + 1], eps01, los->t[ip]);
4241 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4242 tbl->t[id][ig][ipr + 1][it1 + 1], eps11, los->t[ip]);
4243
4244 /* Interpolate with respect to log-pressure... */
4245 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4246 tbl->lnp[id][ig][ipr + 1], eps11, lnp);
4247
4248 /* Check emissivity range... */
4249 eps00 = CLAMP(eps00, 0, 1);
4250
4251 /* Determine segment emissivity... */
4252 eps = 1 - (1 - eps00) / tau_path[id][ig];
4253
4254 /* Check emissivity range... */
4255 eps = CLAMP(eps, 0, 1);
4256 }
4257 }
4258
4259 /* Get transmittance of extended path... */
4260 tau_path[id][ig] *= (1 - eps);
4261
4262 /* Get segment transmittance... */
4263 tau_seg[id] *= (1 - eps);
4264 }
4265 }
4266}
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:4315
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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 4270 of file jurassic.c.

4276 {
4277
4278 const int nu = tbl->nu[id][ig][ip][it];
4279 const float *logu_arr = tbl->logu[id][ig][ip][it];
4280 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4281
4282 /* Work in log-space and only convert back when needed... */
4283 const double logu_min = (double) logu_arr[0];
4284 const double logu_max = (double) logu_arr[nu - 1];
4285
4286 /* Lower boundary extrapolation (u < u_min)...
4287 eps ~ eps_min * u/u_min => log(eps) = logeps_min + log(u) - log(u_min) */
4288 if (logu < logu_min) {
4289 const double logeps_min = (double) logeps_arr[0];
4290 return exp(logeps_min + logu - logu_min);
4291 }
4292
4293 /* Upper boundary extrapolation (u > u_max)...
4294 * Assume eps(u) approaches 1 exponentially:
4295 * eps(u) = 1 - exp(a * u), a < 0
4296 * Continuity at (u_max, eps_max) gives
4297 * a = log(1 - eps_max) / u_max.
4298 * Use log1p/expm1 and u/u_max = exp(log(u) - log(u_max)) for stability.
4299 */
4300 if (logu > logu_max) {
4301 const double eps_max = exp((double) logeps_arr[nu - 1]);
4302 const double l1m_eps_max = log1p(-eps_max);
4303 const double r = exp(logu - logu_max);
4304 return -expm1(l1m_eps_max * r);
4305 }
4306
4307 /* Interpolation (log-log using precomputed logs)... */
4308 const int idx = locate_tbl(logu_arr, nu, logu);
4309 return exp(LIN(logu_arr[idx], logeps_arr[idx],
4310 logu_arr[idx + 1], logeps_arr[idx + 1], logu));
4311}
int locate_tbl(const float *xx, const int n, const double x)
Locate index for interpolation within emissivity table grids.
Definition: jurassic.c:4537
float * logu[ND][NG][TBLNP][TBLNT]
Logarithm of column density [molecules/cm^2].
Definition: jurassic.h:1886
float * logeps[ND][NG][TBLNP][TBLNT]
Logarithm of emissivity.
Definition: jurassic.h:1889
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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 4315 of file jurassic.c.

4321 {
4322
4323 const int nu = tbl->nu[id][ig][ip][it];
4324 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4325 const float *logu_arr = tbl->logu[id][ig][ip][it];
4326
4327 /* Work in log-space and only convert back when needed.... */
4328 const double logeps_min = (double) logeps_arr[0];
4329 const double logeps_max = (double) logeps_arr[nu - 1];
4330
4331 /* Lower boundary extrapolation (eps < eps_min)...
4332 u ~ u_min * eps/eps_min => log(u) = log(u_min) + log(eps) - log(eps_min) */
4333 if (logeps < logeps_min) {
4334 const double logu_min = (double) logu_arr[0];
4335 return exp(logu_min + logeps - logeps_min);
4336 }
4337
4338 /* Upper boundary extrapolation (eps > eps_max):
4339 * Invert the exponential tail used for eps(u):
4340 * u = log(1 - eps) / a,
4341 * with a = log(1 - eps_max) / u_max.
4342 * Rewritten as
4343 * u = u_max * log(tau) / log(1 - eps_max)
4344 * for numerical stability (log1p).
4345 */
4346 if (logeps > logeps_max) {
4347 const double u_max = exp((double) logu_arr[nu - 1]);
4348 const double l1m_eps_max = log1p(-exp(logeps_max));
4349 const double logtau = log1p(-exp(logeps));
4350 return u_max * (logtau / l1m_eps_max);
4351 }
4352
4353 /* Interpolation (log-log using precomputed logs)... */
4354 const int idx = locate_tbl(logeps_arr, nu, logeps);
4355 return exp(LIN(logeps_arr[idx], logu_arr[idx],
4356 logeps_arr[idx + 1], logu_arr[idx + 1], logeps));
4357}
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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 4361 of file jurassic.c.

4369 {
4370
4371 struct tm t0, *t1;
4372
4373 t0.tm_year = 100;
4374 t0.tm_mon = 0;
4375 t0.tm_mday = 1;
4376 t0.tm_hour = 0;
4377 t0.tm_min = 0;
4378 t0.tm_sec = 0;
4379
4380 const time_t jsec0 = (time_t) jsec + timegm(&t0);
4381 t1 = gmtime(&jsec0);
4382
4383 *year = t1->tm_year + 1900;
4384 *mon = t1->tm_mon + 1;
4385 *day = t1->tm_mday;
4386 *hour = t1->tm_hour;
4387 *min = t1->tm_min;
4388 *sec = t1->tm_sec;
4389 *remain = jsec - floor(jsec);
4390}

◆ 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 4394 of file jurassic.c.

4399 {
4400
4401 /* Get sizes... */
4402 const size_t m = k->size1;
4403 const size_t n = k->size2;
4404
4405 /* Allocate... */
4406 gsl_vector *x0 = gsl_vector_alloc(n);
4407 gsl_vector *yy0 = gsl_vector_alloc(m);
4408 int *iqa;
4409 ALLOC(iqa, int,
4410 N);
4411
4412 /* Compute radiance for undisturbed atmospheric data... */
4413 formod(ctl, tbl, atm, obs);
4414
4415 /* Compose vectors... */
4416 atm2x(ctl, atm, x0, iqa, NULL);
4417 obs2y(ctl, obs, yy0, NULL, NULL);
4418
4419 /* Initialize kernel matrix... */
4420 gsl_matrix_set_zero(k);
4421
4422 /* Loop over state vector elements... */
4423#pragma omp parallel for default(none) shared(ctl,tbl,atm,obs,k,x0,yy0,n,m,iqa)
4424 for (size_t j = 0; j < n; j++) {
4425
4426 /* Allocate... */
4427 atm_t *atm1;
4428 obs_t *obs1;
4429 ALLOC(atm1, atm_t, 1);
4430 ALLOC(obs1, obs_t, 1);
4431 gsl_vector *x1 = gsl_vector_alloc(n);
4432 gsl_vector *yy1 = gsl_vector_alloc(m);
4433
4434 /* Set perturbation size... */
4435 double h;
4436 if (iqa[j] == IDXP)
4437 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-7);
4438 else if (iqa[j] == IDXT)
4439 h = 1.0;
4440 else if (iqa[j] >= IDXQ(0) && iqa[j] < IDXQ(ctl->ng))
4441 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-15);
4442 else if (iqa[j] >= IDXK(0) && iqa[j] < IDXK(ctl->nw))
4443 h = 1e-4;
4444 else if (iqa[j] == IDXCLZ || iqa[j] == IDXCLDZ)
4445 h = 1.0;
4446 else if (iqa[j] >= IDXCLK(0) && iqa[j] < IDXCLK(ctl->ncl))
4447 h = 1e-4;
4448 else if (iqa[j] == IDXSFT)
4449 h = 1.0;
4450 else if (iqa[j] >= IDXSFEPS(0) && iqa[j] < IDXSFEPS(ctl->nsf))
4451 h = 1e-2;
4452 else
4453 ERRMSG("Cannot set perturbation size!");
4454
4455 /* Disturb state vector element... */
4456 gsl_vector_memcpy(x1, x0);
4457 gsl_vector_set(x1, j, gsl_vector_get(x1, j) + h);
4458 copy_atm(ctl, atm1, atm, 0);
4459 copy_obs(ctl, obs1, obs, 0);
4460 x2atm(ctl, x1, atm1);
4461
4462 /* Compute radiance for disturbed atmospheric data... */
4463 formod(ctl, tbl, atm1, obs1);
4464
4465 /* Compose measurement vector for disturbed radiance data... */
4466 obs2y(ctl, obs1, yy1, NULL, NULL);
4467
4468 /* Compute derivatives... */
4469 for (size_t i = 0; i < m; i++)
4470 gsl_matrix_set(k, i, j,
4471 (gsl_vector_get(yy1, i) - gsl_vector_get(yy0, i)) / h);
4472
4473 /* Free... */
4474 gsl_vector_free(x1);
4475 gsl_vector_free(yy1);
4476 free(atm1);
4477 free(obs1);
4478 }
4479
4480 /* Free... */
4481 gsl_vector_free(x0);
4482 gsl_vector_free(yy0);
4483 free(iqa);
4484}
void x2atm(const ctl_t *ctl, const gsl_vector *x, atm_t *atm)
Map retrieval state vector back to atmospheric structure.
Definition: jurassic.c:8926
void formod(const ctl_t *ctl, const tbl_t *tbl, atm_t *atm, obs_t *obs)
Execute the selected forward model.
Definition: jurassic.c:3421
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:4634
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:125
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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 or LOGY.
See also
LIN, 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 4488 of file jurassic.c.

4491 {
4492
4493 int ilo = 0;
4494 int ihi = n - 1;
4495 int i = (ihi + ilo) >> 1;
4496
4497 if (xx[i] < xx[i + 1])
4498 while (ihi > ilo + 1) {
4499 i = (ihi + ilo) >> 1;
4500 if (xx[i] > x)
4501 ihi = i;
4502 else
4503 ilo = i;
4504 } else
4505 while (ihi > ilo + 1) {
4506 i = (ihi + ilo) >> 1;
4507 if (xx[i] <= x)
4508 ihi = i;
4509 else
4510 ilo = i;
4511 }
4512
4513 return ilo;
4514}

◆ 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, LOGY
Warning
Assumes uniform grid spacing; results are invalid for irregularly spaced arrays.
Author
Lars Hoffmann

Definition at line 4518 of file jurassic.c.

4521 {
4522
4523 /* Calculate index... */
4524 const int i = (int) ((x - xx[0]) / (xx[1] - xx[0]));
4525
4526 /* Check range... */
4527 if (i < 0)
4528 return 0;
4529 else if (i > n - 2)
4530 return n - 2;
4531 else
4532 return i;
4533}

◆ 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 4537 of file jurassic.c.

4540 {
4541
4542 int ilo = 0;
4543 int ihi = n - 1;
4544 int i = (ihi + ilo) >> 1;
4545
4546 while (ihi > ilo + 1) {
4547 i = (ihi + ilo) >> 1;
4548 if (xx[i] > x)
4549 ihi = i;
4550 else
4551 ilo = i;
4552 }
4553
4554 return ilo;
4555}

◆ 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 4559 of file jurassic.c.

4560 {
4561
4562 size_t diag = 1;
4563
4564 /* Get size... */
4565 const size_t n = a->size1;
4566
4567 /* Check if matrix is diagonal... */
4568 for (size_t i = 0; i < n && diag; i++)
4569 for (size_t j = i + 1; j < n; j++)
4570 if (gsl_matrix_get(a, i, j) != 0) {
4571 diag = 0;
4572 break;
4573 }
4574
4575 /* Quick inversion of diagonal matrix... */
4576 if (diag)
4577 for (size_t i = 0; i < n; i++)
4578 gsl_matrix_set(a, i, i, 1 / gsl_matrix_get(a, i, i));
4579
4580 /* Matrix inversion by means of Cholesky decomposition... */
4581 else {
4582 gsl_linalg_cholesky_decomp(a);
4583 gsl_linalg_cholesky_invert(a);
4584 }
4585}

◆ 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 4589 of file jurassic.c.

4593 {
4594
4595 /* Set sizes... */
4596 const size_t m = a->size1;
4597 const size_t n = a->size2;
4598
4599 /* Allocate... */
4600 gsl_matrix *aux = gsl_matrix_alloc(m, n);
4601
4602 /* Compute A^T B A... */
4603 if (transpose == 1) {
4604
4605 /* Compute B^1/2 A... */
4606 for (size_t i = 0; i < m; i++)
4607 for (size_t j = 0; j < n; j++)
4608 gsl_matrix_set(aux, i, j,
4609 gsl_vector_get(b, i) * gsl_matrix_get(a, i, j));
4610
4611 /* Compute A^T B A = (B^1/2 A)^T (B^1/2 A)... */
4612 gsl_blas_dgemm(CblasTrans, CblasNoTrans, 1.0, aux, aux, 0.0, c);
4613 }
4614
4615 /* Compute A B A^T... */
4616 else if (transpose == 2) {
4617
4618 /* Compute A B^1/2... */
4619 for (size_t i = 0; i < m; i++)
4620 for (size_t j = 0; j < n; j++)
4621 gsl_matrix_set(aux, i, j,
4622 gsl_matrix_get(a, i, j) * gsl_vector_get(b, j));
4623
4624 /* Compute A B A^T = (A B^1/2) (A B^1/2)^T... */
4625 gsl_blas_dgemm(CblasNoTrans, CblasTrans, 1.0, aux, aux, 0.0, c);
4626 }
4627
4628 /* Free... */
4629 gsl_matrix_free(aux);
4630}

◆ 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 4634 of file jurassic.c.

4639 {
4640
4641 size_t m = 0;
4642
4643 /* Determine measurement vector... */
4644 for (int ir = 0; ir < obs->nr; ir++)
4645 for (int id = 0; id < ctl->nd; id++)
4646 if (isfinite(obs->rad[id][ir])) {
4647 if (y != NULL)
4648 gsl_vector_set(y, m, obs->rad[id][ir]);
4649 if (ida != NULL)
4650 ida[m] = id;
4651 if (ira != NULL)
4652 ira[m] = ir;
4653 m++;
4654 }
4655
4656 return m;
4657}

◆ 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 4661 of file jurassic.c.

4669 {
4670
4671 double disq = 0, lmpar = 0.001;
4672
4673 /* ------------------------------------------------------------
4674 Initialize...
4675 ------------------------------------------------------------ */
4676
4677 /* Allocate... */
4678 int *ipa, *iqa;
4679 ALLOC(ipa, int,
4680 N);
4681 ALLOC(iqa, int,
4682 N);
4683
4684 /* Get sizes... */
4685 const size_t m = obs2y(ctl, obs_meas, NULL, NULL, NULL);
4686 const size_t n = atm2x(ctl, atm_apr, NULL, iqa, ipa);
4687 if (m == 0 || n == 0) {
4688 WARN("Check problem definition (m = 0 or n = 0)!");
4689 *chisq = GSL_NAN;
4690 return;
4691 }
4692
4693 /* Allocate... */
4694 gsl_matrix *a = gsl_matrix_alloc(n, n);
4695 gsl_matrix *cov = gsl_matrix_alloc(n, n);
4696 gsl_matrix *k_i = gsl_matrix_alloc(m, n);
4697 gsl_matrix *s_a_inv = gsl_matrix_alloc(n, n);
4698
4699 gsl_vector *b = gsl_vector_alloc(n);
4700 gsl_vector *dx = gsl_vector_alloc(n);
4701 gsl_vector *dy = gsl_vector_alloc(m);
4702 gsl_vector *sig_eps_inv = gsl_vector_alloc(m);
4703 gsl_vector *sig_formod = gsl_vector_alloc(m);
4704 gsl_vector *sig_noise = gsl_vector_alloc(m);
4705 gsl_vector *x_a = gsl_vector_alloc(n);
4706 gsl_vector *x_i = gsl_vector_alloc(n);
4707 gsl_vector *x_step = gsl_vector_alloc(n);
4708 gsl_vector *y_aux = gsl_vector_alloc(m);
4709 gsl_vector *y_i = gsl_vector_alloc(m);
4710 gsl_vector *y_m = gsl_vector_alloc(m);
4711
4712 /* Set timer... */
4713 SELECT_TIMER("RET_SETUP", "RETRIEVAL");
4714
4715 /* Set initial state... */
4716 copy_atm(ctl, atm_i, atm_apr, 0);
4717 copy_obs(ctl, obs_i, obs_meas, 0);
4718 formod(ctl, tbl, atm_i, obs_i);
4719
4720 /* Set state vectors and observation vectors... */
4721 atm2x(ctl, atm_apr, x_a, NULL, NULL);
4722 atm2x(ctl, atm_i, x_i, NULL, NULL);
4723 obs2y(ctl, obs_meas, y_m, NULL, NULL);
4724 obs2y(ctl, obs_i, y_i, NULL, NULL);
4725
4726 /* Set inverse a priori covariance S_a^-1... */
4727 set_cov_apr(ret, ctl, atm_apr, iqa, ipa, s_a_inv);
4728 int lockfd = shared_io_lock(ret);
4729 const char *dirname;
4730 int profile;
4731 const char *filename =
4733 "matrix_cov_apr.tab", &dirname, &profile);
4734 write_matrix(dirname, filename, ctl, s_a_inv,
4735 atm_i, obs_i, "x", "x", "r", profile);
4736 shared_io_unlock(lockfd);
4737 matrix_invert(s_a_inv);
4738
4739 /* Get measurement errors... */
4740 set_cov_meas(ret, ctl, obs_meas, sig_noise, sig_formod, sig_eps_inv);
4741
4742 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4743 gsl_vector_memcpy(dx, x_i);
4744 gsl_vector_sub(dx, x_a);
4745 gsl_vector_memcpy(dy, y_m);
4746 gsl_vector_sub(dy, y_i);
4747
4748 /* Compute cost function... */
4749 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4750
4751 /* Write info... */
4752 LOG(2, "it= %d / chi^2/m= %g", 0, *chisq);
4753
4754 /* Compute initial kernel... */
4755 SELECT_TIMER("RET_KERNEL_INIT", "RETRIEVAL");
4756 kernel(ctl, tbl, atm_i, obs_i, k_i);
4757
4758 /* ------------------------------------------------------------
4759 Levenberg-Marquardt minimization...
4760 ------------------------------------------------------------ */
4761
4762 SELECT_TIMER("RET_ITERATE", "RETRIEVAL");
4763
4764 /* Outer loop... */
4765 for (int it = 1; it <= ret->conv_itmax; it++) {
4766
4767 /* Store current cost function value... */
4768 double chisq_old = *chisq;
4769
4770 /* Compute kernel matrix K_i... */
4771 if (it > 1 && it % ret->kernel_recomp == 0)
4772 kernel(ctl, tbl, atm_i, obs_i, k_i);
4773
4774 /* Compute K_i^T * S_eps^{-1} * K_i ... */
4775 if (it == 1 || it % ret->kernel_recomp == 0)
4776 matrix_product(k_i, sig_eps_inv, 1, cov);
4777
4778 /* Determine b = K_i^T * S_eps^{-1} * dy - S_a^{-1} * dx ... */
4779 for (size_t i = 0; i < m; i++)
4780 gsl_vector_set(y_aux, i, gsl_vector_get(dy, i)
4781 * POW2(gsl_vector_get(sig_eps_inv, i)));
4782 gsl_blas_dgemv(CblasTrans, 1.0, k_i, y_aux, 0.0, b);
4783 gsl_blas_dgemv(CblasNoTrans, -1.0, s_a_inv, dx, 1.0, b);
4784
4785 /* Inner loop... */
4786 for (int it2 = 0; it2 < 20; it2++) {
4787
4788 /* Compute A = (1 + lmpar) * S_a^{-1} + K_i^T * S_eps^{-1} * K_i ... */
4789 gsl_matrix_memcpy(a, s_a_inv);
4790 gsl_matrix_scale(a, 1 + lmpar);
4791 gsl_matrix_add(a, cov);
4792
4793 /* Solve A * x_step = b by means of Cholesky decomposition... */
4794 gsl_linalg_cholesky_decomp(a);
4795 gsl_linalg_cholesky_solve(a, b, x_step);
4796
4797 /* Update atmospheric state... */
4798 gsl_vector_add(x_i, x_step);
4799 copy_atm(ctl, atm_i, atm_apr, 0);
4800 copy_obs(ctl, obs_i, obs_meas, 0);
4801 x2atm(ctl, x_i, atm_i);
4802
4803 /* Check atmospheric state... */
4804 for (int ip = 0; ip < atm_i->np; ip++) {
4805 atm_i->p[ip] = CLAMP(atm_i->p[ip], 5e-7, 5e4);
4806 atm_i->t[ip] = CLAMP(atm_i->t[ip], 100, 400);
4807 for (int ig = 0; ig < ctl->ng; ig++)
4808 atm_i->q[ig][ip] = CLAMP(atm_i->q[ig][ip], 0, 1);
4809 for (int iw = 0; iw < ctl->nw; iw++)
4810 atm_i->k[iw][ip] = MAX(atm_i->k[iw][ip], 0);
4811 }
4812 atm_i->clz = MAX(atm_i->clz, 0);
4813 atm_i->cldz = MAX(atm_i->cldz, 0.1);
4814 for (int icl = 0; icl < ctl->ncl; icl++)
4815 atm_i->clk[icl] = MAX(atm_i->clk[icl], 0);
4816 atm_i->sft = CLAMP(atm_i->sft, 100, 400);
4817 for (int isf = 0; isf < ctl->nsf; isf++)
4818 atm_i->sfeps[isf] = CLAMP(atm_i->sfeps[isf], 0, 1);
4819
4820 /* Forward calculation... */
4821 formod(ctl, tbl, atm_i, obs_i);
4822 obs2y(ctl, obs_i, y_i, NULL, NULL);
4823
4824 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4825 gsl_vector_memcpy(dx, x_i);
4826 gsl_vector_sub(dx, x_a);
4827 gsl_vector_memcpy(dy, y_m);
4828 gsl_vector_sub(dy, y_i);
4829
4830 /* Compute cost function... */
4831 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4832
4833 /* Modify Levenberg-Marquardt parameter... */
4834 if (*chisq > chisq_old) {
4835 lmpar *= 10;
4836 gsl_vector_sub(x_i, x_step);
4837 } else {
4838 lmpar /= 10;
4839 break;
4840 }
4841 }
4842
4843 /* Write info... */
4844 LOG(2, "it= %d / chi^2/m= %g", it, *chisq);
4845
4846 /* Get normalized step size in state space... */
4847 gsl_blas_ddot(x_step, b, &disq);
4848 disq /= (double) n;
4849
4850 /* Convergence test... */
4851 if ((it == 1 || it % ret->kernel_recomp == 0) && disq < ret->conv_dmin)
4852 break;
4853 }
4854
4855 /* ------------------------------------------------------------
4856 Analysis of retrieval results...
4857 ------------------------------------------------------------ */
4858
4859 /* Check if error analysis is requested... */
4860 if (ret->err_ana) {
4861
4862 SELECT_TIMER("RET_DIAGNOSTICS", "OUTPUT");
4863
4864 /* Store results... */
4865 lockfd = shared_io_lock(ret);
4867 "atm_final.tab", &dirname, &profile);
4868 write_atm(dirname, filename, ctl, atm_i, profile);
4870 "obs_final.tab", &dirname, &profile);
4871 write_obs(dirname, filename, ctl, obs_i, profile);
4872 filename =
4874 "matrix_kernel.tab", &dirname, &profile);
4875 write_matrix(dirname, filename, ctl, k_i,
4876 atm_i, obs_i, "y", "x", "r", profile);
4877
4878 /* Allocate... */
4879 gsl_matrix *auxnm = gsl_matrix_alloc(n, m);
4880 gsl_matrix *corr = gsl_matrix_alloc(n, n);
4881 gsl_matrix *gain = gsl_matrix_alloc(n, m);
4882
4883 /* Compute inverse retrieval covariance...
4884 cov^{-1} = S_a^{-1} + K_i^T * S_eps^{-1} * K_i */
4885 matrix_product(k_i, sig_eps_inv, 1, cov);
4886 gsl_matrix_add(cov, s_a_inv);
4887
4888 /* Compute retrieval covariance... */
4889 matrix_invert(cov);
4890 filename =
4892 "matrix_cov_ret.tab", &dirname, &profile);
4893 write_matrix(dirname, filename, ctl, cov,
4894 atm_i, obs_i, "x", "x", "r", profile);
4895 write_stddev("total", ret, ctl, atm_i, cov);
4896
4897 /* Compute correlation matrix... */
4898 for (size_t i = 0; i < n; i++)
4899 for (size_t j = 0; j < n; j++)
4900 gsl_matrix_set(corr, i, j, gsl_matrix_get(cov, i, j)
4901 / sqrt(gsl_matrix_get(cov, i, i))
4902 / sqrt(gsl_matrix_get(cov, j, j)));
4904 "matrix_corr.tab", &dirname, &profile);
4905 write_matrix(dirname, filename, ctl, corr,
4906 atm_i, obs_i, "x", "x", "r", profile);
4907
4908 /* Compute gain matrix...
4909 G = cov * K^T * S_eps^{-1} */
4910 for (size_t i = 0; i < n; i++)
4911 for (size_t j = 0; j < m; j++)
4912 gsl_matrix_set(auxnm, i, j, gsl_matrix_get(k_i, j, i)
4913 * POW2(gsl_vector_get(sig_eps_inv, j)));
4914 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, cov, auxnm, 0.0, gain);
4916 "matrix_gain.tab", &dirname, &profile);
4917 write_matrix(dirname, filename, ctl, gain,
4918 atm_i, obs_i, "x", "y", "c", profile);
4919
4920 /* Compute retrieval error due to noise... */
4921 matrix_product(gain, sig_noise, 2, a);
4922 write_stddev("noise", ret, ctl, atm_i, a);
4923
4924 /* Compute retrieval error due to forward model errors... */
4925 matrix_product(gain, sig_formod, 2, a);
4926 write_stddev("formod", ret, ctl, atm_i, a);
4927
4928 /* Compute averaging kernel matrix
4929 A = G * K ... */
4930 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, gain, k_i, 0.0, a);
4932 "matrix_avk.tab", &dirname, &profile);
4933 write_matrix(dirname, filename, ctl, a,
4934 atm_i, obs_i, "x", "x", "r", profile);
4935
4936 /* Analyze averaging kernel matrix... */
4937 analyze_avk(ret, ctl, atm_i, iqa, ipa, a);
4938 shared_io_unlock(lockfd);
4939
4940 /* Free... */
4941 gsl_matrix_free(auxnm);
4942 gsl_matrix_free(corr);
4943 gsl_matrix_free(gain);
4944 }
4945
4946 /* ------------------------------------------------------------
4947 Finalize...
4948 ------------------------------------------------------------ */
4949
4950 gsl_matrix_free(a);
4951 gsl_matrix_free(cov);
4952 gsl_matrix_free(k_i);
4953 gsl_matrix_free(s_a_inv);
4954
4955 gsl_vector_free(b);
4956 gsl_vector_free(dx);
4957 gsl_vector_free(dy);
4958 gsl_vector_free(sig_eps_inv);
4959 gsl_vector_free(sig_formod);
4960 gsl_vector_free(sig_noise);
4961 gsl_vector_free(x_a);
4962 gsl_vector_free(x_i);
4963 gsl_vector_free(x_step);
4964 gsl_vector_free(y_aux);
4965 gsl_vector_free(y_i);
4966 gsl_vector_free(y_m);
4967
4968 free(ipa);
4969 free(iqa);
4970}
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:1193
int shared_io_lock(const ret_t *ret)
Acquire an exclusive lock for shared retrieval output files.
Definition: jurassic.c:6892
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:4589
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, int dataset)
Write a fully annotated matrix (e.g., Jacobian or gain matrix) to file.
Definition: jurassic.c:7765
void shared_io_unlock(int fd)
Release a shared retrieval output lock.
Definition: jurassic.c:6919
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:6803
void write_obs(const char *dirname, const char *filename, const ctl_t *ctl, const obs_t *obs, int profile)
Write observation data to an output file in ASCII or binary format.
Definition: jurassic.c:8287
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:4394
void matrix_invert(gsl_matrix *a)
Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices.
Definition: jurassic.c:4559
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:6692
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:8691
#define SELECT_TIMER(id, group)
Switch to a named aggregated timer.
Definition: jurassic.h:1181
#define WARN(...)
Print a warning message with contextual information.
Definition: jurassic.h:1315
char shared_io_atm_final_file[LEN]
Optional shared retrieved-atmosphere output file.
Definition: jurassic.h:1819
int err_ana
Carry out error analysis (0=no, 1=yes).
Definition: jurassic.h:1747
char shared_io_matrix_cov_apr_file[LEN]
Optional shared a priori covariance output file.
Definition: jurassic.h:1825
double conv_dmin
Minimum normalized step size in state space.
Definition: jurassic.h:1744
char shared_io_matrix_gain_file[LEN]
Optional shared gain matrix output file.
Definition: jurassic.h:1837
char shared_io_matrix_cov_ret_file[LEN]
Optional shared retrieval covariance output file.
Definition: jurassic.h:1831
char shared_io_matrix_kernel_file[LEN]
Optional shared kernel matrix output file.
Definition: jurassic.h:1828
char shared_io_matrix_avk_file[LEN]
Optional shared averaging-kernel matrix output file.
Definition: jurassic.h:1840
int kernel_recomp
Re-computation of kernel matrix (number of iterations).
Definition: jurassic.h:1738
int conv_itmax
Maximum number of iterations.
Definition: jurassic.h:1741
char shared_io_matrix_corr_file[LEN]
Optional shared correlation matrix output file.
Definition: jurassic.h:1834
char shared_io_obs_final_file[LEN]
Optional shared retrieved-observation output file.
Definition: jurassic.h:1822
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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 a dry-air refractive index n(p, T) based on an Edlen-type relation evaluated at a fixed reference wavelength of 10 um, consistent with the published RFM algorithm.
  • 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 4974 of file jurassic.c.

4979 {
4980
4981 const double h = 0.02, zrefrac = 60;
4982
4983 double ex0[3], ex1[3], k[NW], lat, lon, n, ng[3], norm, p, q[NG], t,
4984 x[3], xh[3], xobs[3], xvp[3], z = 1e99, zmax, zmin;
4985
4986 int stop = 0;
4987
4988 /* Initialize... */
4989 los->np = 0;
4990 los->sft = -999;
4991 obs->tpz[ir] = obs->vpz[ir];
4992 obs->tplon[ir] = obs->vplon[ir];
4993 obs->tplat[ir] = obs->vplat[ir];
4994
4995 /* Get altitude range of atmospheric data... */
4996 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
4997
4998 /* Check observer altitude... */
4999 if (obs->obsz[ir] < zmin)
5000 ERRMSG("Observer below surface!");
5001
5002 /* Determine Cartesian coordinates for observer and view point... */
5003 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xobs);
5004 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xvp);
5005
5006 /* Determine initial tangent vector... */
5007 for (int i = 0; i < 3; i++)
5008 ex0[i] = xvp[i] - xobs[i];
5009 norm = NORM(ex0);
5010 for (int i = 0; i < 3; i++)
5011 ex0[i] /= norm;
5012
5013 /* Observer within atmosphere... */
5014 for (int i = 0; i < 3; i++)
5015 x[i] = xobs[i];
5016
5017 /* Observer above atmosphere (search entry point)... */
5018 if (obs->obsz[ir] > zmax) {
5019 double dmax = norm, dmin = 0;
5020 while (fabs(dmin - dmax) > 0.001) {
5021 const double d = (dmax + dmin) / 2;
5022 for (int i = 0; i < 3; i++)
5023 x[i] = xobs[i] + d * ex0[i];
5024 cart2geo(x, &z, &lon, &lat);
5025 if (z <= zmax && z > zmax - 0.001)
5026 break;
5027 if (z < zmax - 0.0005)
5028 dmax = d;
5029 else
5030 dmin = d;
5031 }
5032 }
5033
5034 /* Ray-tracing... */
5035 while (1) {
5036
5037 /* Set step length... */
5038 double ds = ctl->rayds;
5039 if (ctl->raydz > 0) {
5040 norm = NORM(x);
5041 for (int i = 0; i < 3; i++)
5042 xh[i] = x[i] / norm;
5043 const double cosa = fabs(DOTP(ex0, xh));
5044 if (cosa != 0)
5045 ds = MIN(ctl->rayds, ctl->raydz / cosa);
5046 }
5047
5048 /* Determine geolocation... */
5049 cart2geo(x, &z, &lon, &lat);
5050
5051 /* Check if LOS hits the ground or has left atmosphere... */
5052 if (z < zmin || z > zmax) {
5053 stop = (z < zmin ? 2 : 1);
5054 const double frac =
5055 ((z <
5056 zmin ? zmin : zmax) - los->z[los->np - 1]) / (z - los->z[los->np -
5057 1]);
5058 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
5059 los->lat[los->np - 1], xh);
5060 for (int i = 0; i < 3; i++)
5061 x[i] = xh[i] + frac * (x[i] - xh[i]);
5062 cart2geo(x, &z, &lon, &lat);
5063 los->ds[los->np - 1] = ds * frac;
5064 ds = 0;
5065 }
5066
5067 /* Interpolate atmospheric data... */
5068 intpol_atm(ctl, atm, z, &p, &t, q, k);
5069
5070 /* Abort before writing beyond the fixed LOS scratch buffers... */
5071 if (los->np >= NLOS)
5072 ERRMSG("Too many LOS points!");
5073
5074 /* Save data... */
5075 los->lon[los->np] = lon;
5076 los->lat[los->np] = lat;
5077 los->z[los->np] = z;
5078 los->p[los->np] = p;
5079 los->t[los->np] = t;
5080 for (int ig = 0; ig < ctl->ng; ig++)
5081 los->q[los->np][ig] = q[ig];
5082 for (int id = 0; id < ctl->nd; id++)
5083 los->k[los->np][id] = k[ctl->window[id]];
5084 los->ds[los->np] = ds;
5085
5086 /* Add cloud extinction... */
5087 if (ctl->ncl > 0 && atm->cldz > 0) {
5088 const double aux = exp(-0.5 * POW2((z - atm->clz) / atm->cldz));
5089 for (int id = 0; id < ctl->nd; id++) {
5090 const int icl = locate_irr(ctl->clnu, ctl->ncl, ctl->nu[id]);
5091 los->k[los->np][id]
5092 += aux * LIN(ctl->clnu[icl], atm->clk[icl],
5093 ctl->clnu[icl + 1], atm->clk[icl + 1], ctl->nu[id]);
5094 }
5095 }
5096
5097 /* Increment number of LOS points... */
5098 los->np++;
5099
5100 /* Check stop flag... */
5101 if (stop) {
5102
5103 /* Set surface temperature... */
5104 if (ctl->nsf > 0 && atm->sft > 0)
5105 t = atm->sft;
5106 los->sft = (stop == 2 ? t : -999);
5107
5108 /* Set surface emissivity... */
5109 for (int id = 0; id < ctl->nd; id++) {
5110 los->sfeps[id] = 1.0;
5111 if (ctl->nsf > 0) {
5112 const int isf = locate_irr(ctl->sfnu, ctl->nsf, ctl->nu[id]);
5113 los->sfeps[id] = LIN(ctl->sfnu[isf], atm->sfeps[isf],
5114 ctl->sfnu[isf + 1], atm->sfeps[isf + 1],
5115 ctl->nu[id]);
5116 }
5117 }
5118
5119 /* Leave raytracer... */
5120 break;
5121 }
5122
5123 /* Determine refractivity... */
5124 if (ctl->refrac && z <= zrefrac)
5125 n = 1 + REFRAC_EDLEN(p, t);
5126 else
5127 n = 1;
5128
5129 /* Construct new tangent vector (first term)... */
5130 for (int i = 0; i < 3; i++)
5131 ex1[i] = ex0[i] * n;
5132
5133 /* Compute gradient of refractivity... */
5134 if (ctl->refrac && z <= zrefrac) {
5135 for (int i = 0; i < 3; i++)
5136 xh[i] = x[i] + 0.5 * ds * ex0[i];
5137 cart2geo(xh, &z, &lon, &lat);
5138 intpol_atm(ctl, atm, z, &p, &t, q, k);
5139 n = REFRAC_EDLEN(p, t);
5140 for (int i = 0; i < 3; i++) {
5141 xh[i] += h;
5142 cart2geo(xh, &z, &lon, &lat);
5143 intpol_atm(ctl, atm, z, &p, &t, q, k);
5144 ng[i] = (REFRAC_EDLEN(p, t) - n) / h;
5145 xh[i] -= h;
5146 }
5147 } else
5148 for (int i = 0; i < 3; i++)
5149 ng[i] = 0;
5150
5151 /* Construct new tangent vector (second term)... */
5152 for (int i = 0; i < 3; i++)
5153 ex1[i] += ds * ng[i];
5154
5155 /* Normalize new tangent vector... */
5156 norm = NORM(ex1);
5157 for (int i = 0; i < 3; i++)
5158 ex1[i] /= norm;
5159
5160 /* Determine next point of LOS... */
5161 for (int i = 0; i < 3; i++)
5162 x[i] += 0.5 * ds * (ex0[i] + ex1[i]);
5163
5164 /* Copy tangent vector... */
5165 for (int i = 0; i < 3; i++)
5166 ex0[i] = ex1[i];
5167 }
5168
5169 /* Get tangent point (to be done before changing segment lengths!)... */
5170 tangent_point(los, &obs->tpz[ir], &obs->tplon[ir], &obs->tplat[ir]);
5171
5172 /* Change segment lengths according to trapezoid rule... */
5173 for (int ip = los->np - 1; ip >= 1; ip--)
5174 los->ds[ip] = 0.5 * (los->ds[ip - 1] + los->ds[ip]);
5175 los->ds[0] *= 0.5;
5176
5177 /* Compute column density... */
5178 for (int ip = 0; ip < los->np; ip++)
5179 for (int ig = 0; ig < ctl->ng; ig++)
5180 los->u[ip][ig] = 10 * los->q[ip][ig] * los->p[ip]
5181 / (KB * los->t[ip]) * los->ds[ip];
5182
5183 /* Compute Curtis-Godson means... */
5184 for (int ig = 0; ig < ctl->ng; ig++) {
5185 los->cgu[0][ig] = los->u[0][ig];
5186 los->cgp[0][ig] = los->u[0][ig] * los->p[0];
5187 los->cgt[0][ig] = los->u[0][ig] * los->t[0];
5188 }
5189 for (int ip = 1; ip < los->np; ip++)
5190 for (int ig = 0; ig < ctl->ng; ig++) {
5191 los->cgu[ip][ig] = los->cgu[ip - 1][ig] + los->u[ip][ig];
5192 los->cgp[ip][ig] = los->cgp[ip - 1][ig] + los->u[ip][ig] * los->p[ip];
5193 los->cgt[ip][ig] = los->cgt[ip - 1][ig] + los->u[ip][ig] * los->t[ip];
5194 }
5195 for (int ip = 0; ip < los->np; ip++)
5196 for (int ig = 0; ig < ctl->ng; ig++)
5197 if (los->cgu[ip][ig] != 0) {
5198 los->cgp[ip][ig] /= los->cgu[ip][ig];
5199 los->cgt[ip][ig] /= los->cgu[ip][ig];
5200 }
5201}
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:4050
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:6971
void cart2geo(const double *x, double *z, double *lon, double *lat)
Converts Cartesian coordinates to geographic coordinates.
Definition: jurassic.c:200
#define KB
Boltzmann constant [kg m^2/(K s^2)].
Definition: jurassic.h:194
#define REFRAC_EDLEN(p, T)
Compute dry-air refractivity (n - 1) with an Edlen-type relation.
Definition: jurassic.h:1127
#define NLOS
Maximum number of LOS points.
Definition: jurassic.h:303
#define NW
Maximum number of spectral windows.
Definition: jurassic.h:338
int window[ND]
Window index of each channel.
Definition: jurassic.h:1481
double rayds
Maximum step length for raytracing [km].
Definition: jurassic.h:1535
double raydz
Vertical step length for raytracing [km].
Definition: jurassic.h:1538
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◆ read_atm()

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

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.
profileZero-based profile index for netCDF input. Ignored for ASCII and binary formats.
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 5205 of file jurassic.c.

5210 {
5211
5212 /* Init... */
5213 atm->np = 0;
5214
5215 /* Set filename... */
5216 char file[LEN];
5217 if (dirname != NULL)
5218 sprintf(file, "%s/%s", dirname, filename);
5219 else
5220 sprintf(file, "%s", filename);
5221
5222 /* Write info... */
5223 LOG(1, "Read atmospheric data: %s", file);
5224
5225 /* Read ASCII data... */
5226 if (ctl->atmfmt == 1)
5227 read_atm_asc(file, ctl, atm);
5228
5229 /* Read binary data... */
5230 else if (ctl->atmfmt == 2)
5231 read_atm_bin(file, ctl, atm);
5232
5233 /* Read netCDF data... */
5234 else if (ctl->atmfmt == 3)
5235 read_atm_nc(file, ctl, atm, profile);
5236
5237 /* Check number of points... */
5238 if (atm->np < 1)
5239 ERRMSG("Could not read any data!");
5240
5241 /* Write info... */
5242 double mini, maxi;
5243 LOG(2, "Number of data points: %d", atm->np);
5244 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
5245 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5246 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
5247 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
5248 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
5249 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
5250 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
5251 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
5252 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
5253 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
5254 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
5255 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
5256 for (int ig = 0; ig < ctl->ng; ig++) {
5257 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
5258 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
5259 }
5260 for (int iw = 0; iw < ctl->nw; iw++) {
5261 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
5262 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
5263 }
5264 if (ctl->ncl > 0) {
5265 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
5266 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
5267 } else
5268 LOG(2, "Cloud layer: none");
5269 if (ctl->nsf > 0) {
5270 LOG(2,
5271 "Surface: T_s = %g K | eps= %g ... %g",
5272 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
5273 } else
5274 LOG(2, "Surface: none");
5275}
void read_atm_bin(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in binary format.
Definition: jurassic.c:5330
void read_atm_asc(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in ASCII format.
Definition: jurassic.c:5279
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:5424
int atmfmt
Atmospheric data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1508
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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 5279 of file jurassic.c.

5282 {
5283
5284 /* Init... */
5285 atm->np = 0;
5286
5287 /* Open file... */
5288 FILE *in;
5289 if (!(in = fopen(filename, "r")))
5290 ERRMSG("Cannot open file!");
5291
5292 /* Read line... */
5293 char line[LEN], *tok;
5294 while (fgets(line, LEN, in)) {
5295
5296 /* Read data... */
5297 TOK(line, tok, "%lg", atm->time[atm->np]);
5298 TOK(NULL, tok, "%lg", atm->z[atm->np]);
5299 TOK(NULL, tok, "%lg", atm->lon[atm->np]);
5300 TOK(NULL, tok, "%lg", atm->lat[atm->np]);
5301 TOK(NULL, tok, "%lg", atm->p[atm->np]);
5302 TOK(NULL, tok, "%lg", atm->t[atm->np]);
5303 for (int ig = 0; ig < ctl->ng; ig++)
5304 TOK(NULL, tok, "%lg", atm->q[ig][atm->np]);
5305 for (int iw = 0; iw < ctl->nw; iw++)
5306 TOK(NULL, tok, "%lg", atm->k[iw][atm->np]);
5307 if (ctl->ncl > 0 && atm->np == 0) {
5308 TOK(NULL, tok, "%lg", atm->clz);
5309 TOK(NULL, tok, "%lg", atm->cldz);
5310 for (int icl = 0; icl < ctl->ncl; icl++)
5311 TOK(NULL, tok, "%lg", atm->clk[icl]);
5312 }
5313 if (ctl->nsf > 0 && atm->np == 0) {
5314 TOK(NULL, tok, "%lg", atm->sft);
5315 for (int isf = 0; isf < ctl->nsf; isf++)
5316 TOK(NULL, tok, "%lg", atm->sfeps[isf]);
5317 }
5318
5319 /* Increment data point counter... */
5320 if ((++atm->np) > NP)
5321 ERRMSG("Too many data points!");
5322 }
5323
5324 /* Close file... */
5325 fclose(in);
5326}
#define TOK(line, tok, format, var)
Tokenize a string and parse a variable.
Definition: jurassic.h:1212
#define NP
Maximum number of atmospheric data points.
Definition: jurassic.h:308

◆ 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 5330 of file jurassic.c.

5333 {
5334
5335 /* Open file... */
5336 FILE *in;
5337 if (!(in = fopen(filename, "r")))
5338 ERRMSG("Cannot open file!");
5339
5340 /* Read header... */
5341 char magic[4];
5342 FREAD(magic, char,
5343 4,
5344 in);
5345 if (memcmp(magic, "ATM1", 4) != 0)
5346 ERRMSG("Invalid magic string!");
5347
5348 int ng, nw, ncl, nsf;
5349 FREAD(&ng, int,
5350 1,
5351 in);
5352 FREAD(&nw, int,
5353 1,
5354 in);
5355 FREAD(&ncl, int,
5356 1,
5357 in);
5358 FREAD(&nsf, int,
5359 1,
5360 in);
5361 if (ng != ctl->ng || nw != ctl->nw || ncl != ctl->ncl || nsf != ctl->nsf)
5362 ERRMSG("Error reading file header!");
5363
5364 /* Read data... */
5365 size_t np;
5366 FREAD(&np, size_t,
5367 1,
5368 in);
5369 atm->np = (int) np;
5370 if (atm->np > NP)
5371 ERRMSG("Too many data points!");
5372 FREAD(atm->time, double,
5373 np,
5374 in);
5375 FREAD(atm->z, double,
5376 np,
5377 in);
5378 FREAD(atm->lon, double,
5379 np,
5380 in);
5381 FREAD(atm->lat, double,
5382 np,
5383 in);
5384 FREAD(atm->p, double,
5385 np,
5386 in);
5387 FREAD(atm->t, double,
5388 np,
5389 in);
5390 for (int ig = 0; ig < ctl->ng; ig++)
5391 FREAD(atm->q[ig], double,
5392 np,
5393 in);
5394 for (int iw = 0; iw < ctl->nw; iw++)
5395 FREAD(atm->k[iw], double,
5396 np,
5397 in);
5398 if (ctl->ncl > 0) {
5399 FREAD(&atm->clz, double,
5400 1,
5401 in);
5402 FREAD(&atm->cldz, double,
5403 1,
5404 in);
5405 FREAD(atm->clk, double,
5406 (size_t) ctl->ncl,
5407 in);
5408 }
5409 if (ctl->nsf) {
5410 FREAD(&atm->sft, double,
5411 1,
5412 in);
5413 FREAD(atm->sfeps, double,
5414 (size_t) ctl->nsf,
5415 in);
5416 }
5417
5418 /* Close file... */
5419 fclose(in);
5420}
#define FREAD(ptr, type, size, out)
Read binary data from a file.
Definition: jurassic.h:578

◆ 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_%.4f(profile)
  • Surface (1-D, optional if ctl->nsf>0): srf_t, srf_eps_%.4f(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 5424 of file jurassic.c.

5428 {
5429
5430 int ncid, var_time, var_z, var_lon, var_lat, var_p, var_t, var_q[NG],
5431 var_k[NW], var_cz = -1, var_cdz = -1, var_ck[NCL], var_sft =
5432 -1, var_sfe[NSF], var_nlev = -1;
5433
5434 char varname[LEN];
5435
5436 /* Open file... */
5437 NC(nc_open(filename, NC_NOWRITE, &ncid));
5438
5439 /* Initialize hyperslab... */
5440 size_t start[2] = { (size_t) profile, 0 };
5441 size_t count[2] = { 1, 0 };
5442
5443 /* Determine atm->np... */
5444 NC(nc_inq_varid(ncid, "nlev", &var_nlev));
5445 NC(nc_get_vara_int(ncid, var_nlev, start, count, &atm->np));
5446 if (atm->np < 1 || atm->np > NP)
5447 ERRMSG("Number of level out of range!");
5448
5449 /* Update hyperslab... */
5450 count[1] = (size_t) atm->np;
5451
5452 /* Inquire core variables... */
5453 NC(nc_inq_varid(ncid, "time", &var_time));
5454 NC(nc_inq_varid(ncid, "z", &var_z));
5455 NC(nc_inq_varid(ncid, "lon", &var_lon));
5456 NC(nc_inq_varid(ncid, "lat", &var_lat));
5457 NC(nc_inq_varid(ncid, "p", &var_p));
5458 NC(nc_inq_varid(ncid, "t", &var_t));
5459
5460 /* Inquire emiters... */
5461 for (int ig = 0; ig < ctl->ng; ig++)
5462 NC(nc_inq_varid(ncid, ctl->emitter[ig], &var_q[ig]));
5463
5464 /* Inquire extinctions... */
5465 for (int iw = 0; iw < ctl->nw; iw++) {
5466 sprintf(varname, "ext_win_%d", iw);
5467 NC(nc_inq_varid(ncid, varname, &var_k[iw]));
5468 }
5469
5470 /* Inquire cloud variables... */
5471 if (ctl->ncl > 0) {
5472 NC(nc_inq_varid(ncid, "cld_z", &var_cz));
5473 NC(nc_inq_varid(ncid, "cld_dz", &var_cdz));
5474 for (int icl = 0; icl < ctl->ncl; icl++) {
5475 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
5476 NC(nc_inq_varid(ncid, varname, &var_ck[icl]));
5477 }
5478 }
5479
5480 /* Inquire surface variables... */
5481 if (ctl->nsf > 0) {
5482 NC(nc_inq_varid(ncid, "srf_t", &var_sft));
5483 for (int isf = 0; isf < ctl->nsf; isf++) {
5484 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
5485 NC(nc_inq_varid(ncid, varname, &var_sfe[isf]));
5486 }
5487 }
5488
5489 /* Read core variables... */
5490 NC(nc_get_vara_double(ncid, var_time, start, count, atm->time));
5491 NC(nc_get_vara_double(ncid, var_z, start, count, atm->z));
5492 NC(nc_get_vara_double(ncid, var_lon, start, count, atm->lon));
5493 NC(nc_get_vara_double(ncid, var_lat, start, count, atm->lat));
5494 NC(nc_get_vara_double(ncid, var_p, start, count, atm->p));
5495 NC(nc_get_vara_double(ncid, var_t, start, count, atm->t));
5496
5497 /* Read emitters... */
5498 for (int ig = 0; ig < ctl->ng; ig++)
5499 NC(nc_get_vara_double(ncid, var_q[ig], start, count, atm->q[ig]));
5500
5501 /* Read extinctions... */
5502 for (int iw = 0; iw < ctl->nw; iw++)
5503 NC(nc_get_vara_double(ncid, var_k[iw], start, count, atm->k[iw]));
5504
5505 /* Read cloud variables... */
5506 if (ctl->ncl > 0) {
5507 NC(nc_get_vara_double(ncid, var_cz, start, count, &atm->clz));
5508 NC(nc_get_vara_double(ncid, var_cdz, start, count, &atm->cldz));
5509 for (int icl = 0; icl < ctl->ncl; icl++)
5510 NC(nc_get_vara_double(ncid, var_ck[icl], start, count, &atm->clk[icl]));
5511 }
5512
5513 /* Read surface variables... */
5514 if (ctl->nsf > 0) {
5515 NC(nc_get_vara_double(ncid, var_sft, start, count, &atm->sft));
5516
5517 for (int isf = 0; isf < ctl->nsf; isf++)
5518 NC(nc_get_vara_double
5519 (ncid, var_sfe[isf], start, count, &atm->sfeps[isf]));
5520 }
5521
5522 /* Close file... */
5523 NC(nc_close(ncid));
5524}
#define NC(cmd)
Execute a NetCDF command and check for errors.
Definition: jurassic.h:697
#define NSF
Maximum number of surface layer spectral grid points.
Definition: jurassic.h:323
#define NCL
Maximum number of cloud layer spectral grid points.
Definition: jurassic.h:283

◆ 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 5528 of file jurassic.c.

5531 {
5532
5533 /* Write info... */
5534 LOG(1, "\nJuelich Rapid Spectral Simulation Code (JURASSIC)\n"
5535 "(executable: %s | version: %s | compiled: %s, %s)\n",
5536 argv[0], VERSION, __DATE__, __TIME__);
5537
5538 /* Emitters... */
5539 ctl->ng = (int) scan_ctl(argc, argv, "NG", -1, "0", NULL);
5540 if (ctl->ng < 0 || ctl->ng > NG)
5541 ERRMSG("Set 0 <= NG <= MAX!");
5542 for (int ig = 0; ig < ctl->ng; ig++)
5543 scan_ctl(argc, argv, "EMITTER", ig, "", ctl->emitter[ig]);
5544 ctl->ig_co2 = find_emitter(ctl, "CO2");
5545 ctl->ig_h2o = find_emitter(ctl, "H2O");
5546 ctl->ig_n2 = find_emitter(ctl, "N2");
5547 ctl->ig_o2 = find_emitter(ctl, "O2");
5548
5549 /* Radiance channels... */
5550 ctl->nd = (int) scan_ctl(argc, argv, "ND", -1, "0", NULL);
5551 if (ctl->nd < 0 || ctl->nd > ND)
5552 ERRMSG("Set 0 <= ND <= MAX!");
5553 for (int id = 0; id < ctl->nd; id++)
5554 ctl->nu[id] = scan_ctl(argc, argv, "NU", id, "", NULL);
5555
5556 /* Spectral windows... */
5557 ctl->nw = (int) scan_ctl(argc, argv, "NW", -1, "1", NULL);
5558 if (ctl->nw < 0 || ctl->nw > NW)
5559 ERRMSG("Set 0 <= NW <= MAX!");
5560 for (int id = 0; id < ctl->nd; id++)
5561 ctl->window[id] = (int) scan_ctl(argc, argv, "WINDOW", id, "0", NULL);
5562
5563 /* Cloud data... */
5564 ctl->ncl = (int) scan_ctl(argc, argv, "NCL", -1, "0", NULL);
5565 if (ctl->ncl < 0 || ctl->ncl > NCL)
5566 ERRMSG("Set 0 <= NCL <= MAX!");
5567 if (ctl->ncl == 1)
5568 ERRMSG("Set NCL > 1!");
5569 for (int icl = 0; icl < ctl->ncl; icl++)
5570 ctl->clnu[icl] = scan_ctl(argc, argv, "CLNU", icl, "", NULL);
5571
5572 /* Surface data... */
5573 ctl->nsf = (int) scan_ctl(argc, argv, "NSF", -1, "0", NULL);
5574 if (ctl->nsf < 0 || ctl->nsf > NSF)
5575 ERRMSG("Set 0 <= NSF <= MAX!");
5576 if (ctl->nsf == 1)
5577 ERRMSG("Set NSF > 1!");
5578 for (int isf = 0; isf < ctl->nsf; isf++)
5579 ctl->sfnu[isf] = scan_ctl(argc, argv, "SFNU", isf, "", NULL);
5580 ctl->sftype = (int) scan_ctl(argc, argv, "SFTYPE", -1, "2", NULL);
5581 if (ctl->sftype < 0 || ctl->sftype > 3)
5582 ERRMSG("Set 0 <= SFTYPE <= 3!");
5583 ctl->sfsza = scan_ctl(argc, argv, "SFSZA", -1, "-999", NULL);
5584
5585 /* Emissivity look-up tables... */
5586 scan_ctl(argc, argv, "TBLBASE", -1, "-", ctl->tblbase);
5587 ctl->tblfmt = (int) scan_ctl(argc, argv, "TBLFMT", -1, "1", NULL);
5588 if (ctl->tblfmt < 1 || ctl->tblfmt > 3)
5589 ERRMSG("Unknown look-up table file format, set TBLFMT to 1, 2, or 3!");
5590
5591 /* File formats... */
5592 ctl->atmfmt = (int) scan_ctl(argc, argv, "ATMFMT", -1, "1", NULL);
5593 if (ctl->atmfmt < 1 || ctl->atmfmt > 3)
5594 ERRMSG("Unknown atmospheric file format, set ATMFMT to 1, 2, or 3!");
5595 ctl->obsfmt = (int) scan_ctl(argc, argv, "OBSFMT", -1, "1", NULL);
5596 if (ctl->obsfmt < 1 || ctl->obsfmt > 3)
5597 ERRMSG("Unknown observation file format, set OBSFMT to 1, 2, or 3!");
5598 ctl->matrixfmt = (int) scan_ctl(argc, argv, "MATRIXFMT", -1, "1", NULL);
5599 if (ctl->matrixfmt < 1 || ctl->matrixfmt > 3)
5600 ERRMSG("Unknown matrix file format, set MATRIXFMT to 1, 2, or 3!");
5601
5602 /* Hydrostatic equilibrium... */
5603 ctl->hydz = scan_ctl(argc, argv, "HYDZ", -1, "-999", NULL);
5604
5605 /* Continua... */
5606 ctl->ctm_co2 = (int) scan_ctl(argc, argv, "CTM_CO2", -1, "1", NULL);
5607 ctl->ctm_h2o = (int) scan_ctl(argc, argv, "CTM_H2O", -1, "1", NULL);
5608 ctl->ctm_n2 = (int) scan_ctl(argc, argv, "CTM_N2", -1, "1", NULL);
5609 ctl->ctm_o2 = (int) scan_ctl(argc, argv, "CTM_O2", -1, "1", NULL);
5610
5611 /* Ray-tracing... */
5612 ctl->refrac = (int) scan_ctl(argc, argv, "REFRAC", -1, "1", NULL);
5613 ctl->rayds = scan_ctl(argc, argv, "RAYDS", -1, "10", NULL);
5614 ctl->raydz = scan_ctl(argc, argv, "RAYDZ", -1, "0.1", NULL);
5615
5616 /* Field of view... */
5617 scan_ctl(argc, argv, "FOV", -1, "-", ctl->fov);
5618 if (ctl->fov[0] != '-')
5619 read_shape(ctl->fov, ctl->fov_dz, ctl->fov_w, &ctl->fov_n);
5620
5621 /* Retrieval interface... */
5622 ctl->retp_zmin = scan_ctl(argc, argv, "RETP_ZMIN", -1, "-999", NULL);
5623 ctl->retp_zmax = scan_ctl(argc, argv, "RETP_ZMAX", -1, "-999", NULL);
5624 ctl->rett_zmin = scan_ctl(argc, argv, "RETT_ZMIN", -1, "-999", NULL);
5625 ctl->rett_zmax = scan_ctl(argc, argv, "RETT_ZMAX", -1, "-999", NULL);
5626 for (int ig = 0; ig < ctl->ng; ig++) {
5627 ctl->retq_zmin[ig] = scan_ctl(argc, argv, "RETQ_ZMIN", ig, "-999", NULL);
5628 ctl->retq_zmax[ig] = scan_ctl(argc, argv, "RETQ_ZMAX", ig, "-999", NULL);
5629 }
5630 for (int iw = 0; iw < ctl->nw; iw++) {
5631 ctl->retk_zmin[iw] = scan_ctl(argc, argv, "RETK_ZMIN", iw, "-999", NULL);
5632 ctl->retk_zmax[iw] = scan_ctl(argc, argv, "RETK_ZMAX", iw, "-999", NULL);
5633 }
5634 ctl->ret_clz = (int) scan_ctl(argc, argv, "RET_CLZ", -1, "0", NULL);
5635 ctl->ret_cldz = (int) scan_ctl(argc, argv, "RET_CLDZ", -1, "0", NULL);
5636 ctl->ret_clk = (int) scan_ctl(argc, argv, "RET_CLK", -1, "0", NULL);
5637 ctl->ret_sft = (int) scan_ctl(argc, argv, "RET_SFT", -1, "0", NULL);
5638 ctl->ret_sfeps = (int) scan_ctl(argc, argv, "RET_SFEPS", -1, "0", NULL);
5639
5640 /* Output flags... */
5641 ctl->write_bbt = (int) scan_ctl(argc, argv, "WRITE_BBT", -1, "0", NULL);
5642 ctl->write_matrix =
5643 (int) scan_ctl(argc, argv, "WRITE_MATRIX", -1, "0", NULL);
5644
5645 /* External forward models... */
5646 ctl->formod = (int) scan_ctl(argc, argv, "FORMOD", -1, "1", NULL);
5647 scan_ctl(argc, argv, "RFMBIN", -1, "-", ctl->rfmbin);
5648 scan_ctl(argc, argv, "RFMHIT", -1, "-", ctl->rfmhit);
5649 for (int ig = 0; ig < ctl->ng; ig++)
5650 scan_ctl(argc, argv, "RFMXSC", ig, "-", ctl->rfmxsc[ig]);
5651}
int find_emitter(const ctl_t *ctl, const char *emitter)
Find gas species index by name.
Definition: jurassic.c:3408
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:6624
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:6303
int write_matrix
Write matrix file (0=no, 1=yes).
Definition: jurassic.h:1595
char tblbase[LEN]
Basename for table files and filter function files.
Definition: jurassic.h:1502
int matrixfmt
Matrix data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1514
int obsfmt
Observation data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1511
int tblfmt
Look-up table file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1505
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◆ read_matrix()

void read_matrix ( const char *  dirname,
const char *  filename,
const ctl_t ctl,
gsl_matrix *  matrix,
int  dataset 
)

Read a numerical matrix from a file.

Dispatches matrix input according to the configured matrix file format. Supported formats are ASCII (MATRIXFMT=1), binary (MATRIXFMT=2), and netCDF (MATRIXFMT=3).

Parameters
[in]dirnameDirectory path containing the matrix file (may be NULL).
[in]filenameName of the matrix file to read.
[in]ctlControl structure defining the matrix file format.
[out]matrixPointer to the GSL matrix to be filled with values.
[in]datasetZero-based dataset index for netCDF input. Ignored for ASCII and binary formats.
See also
read_matrix_asc(), read_matrix_bin(), read_matrix_nc()
Author
Lars Hoffmann

Definition at line 5655 of file jurassic.c.

5660 {
5661
5662 /* Read ASCII data... */
5663 if (ctl->matrixfmt == 1)
5664 read_matrix_asc(dirname, filename, matrix);
5665
5666 /* Read binary data... */
5667 else if (ctl->matrixfmt == 2)
5668 read_matrix_bin(dirname, filename, matrix);
5669
5670 /* Read netCDF data... */
5671 else if (ctl->matrixfmt == 3)
5672 read_matrix_nc(dirname, filename, matrix, dataset);
5673
5674 /* Error... */
5675 else
5676 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
5677}
void read_matrix_nc(const char *dirname, const char *filename, gsl_matrix *matrix, int dataset)
Read a numerical matrix from a netCDF file.
Definition: jurassic.c:5773
void read_matrix_asc(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from an ASCII file.
Definition: jurassic.c:5681
void read_matrix_bin(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from a binary file.
Definition: jurassic.c:5720
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◆ read_matrix_asc()

void read_matrix_asc ( 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 5681 of file jurassic.c.

5684 {
5685
5686 char dum[LEN], file[LEN], line[LEN];
5687
5688 double value;
5689
5690 int i, j;
5691
5692 /* Set filename... */
5693 if (dirname != NULL)
5694 sprintf(file, "%s/%s", dirname, filename);
5695 else
5696 sprintf(file, "%s", filename);
5697
5698 /* Write info... */
5699 LOG(1, "Read matrix: %s", file);
5700
5701 /* Open file... */
5702 FILE *in;
5703 if (!(in = fopen(file, "r")))
5704 ERRMSG("Cannot open file!");
5705
5706 /* Read data... */
5707 gsl_matrix_set_zero(matrix);
5708 while (fgets(line, LEN, in))
5709 if (sscanf(line, "%d %s %s %s %s %s %d %s %s %s %s %s %lg",
5710 &i, dum, dum, dum, dum, dum,
5711 &j, dum, dum, dum, dum, dum, &value) == 13)
5712 gsl_matrix_set(matrix, (size_t) i, (size_t) j, value);
5713
5714 /* Close file... */
5715 fclose(in);
5716}

◆ read_matrix_bin()

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

Read a numerical matrix from a binary file.

Loads values into a GSL matrix from a compact binary file containing a magic identifier, matrix dimensions, and all matrix elements in row-major order.

Parameters
[in]dirnameDirectory path containing the matrix file (may be NULL).
[in]filenameName of the matrix file to read.
[out]matrixPointer to the preallocated GSL matrix to be filled.
Warning
  • Aborts if the file cannot be opened.
  • The stored matrix dimensions must match the size of matrix.
Author
Lars Hoffmann

Definition at line 5720 of file jurassic.c.

5723 {
5724
5725 char file[LEN], magic[4];
5726 size_t nr, nc;
5727
5728 /* Set filename... */
5729 if (dirname != NULL)
5730 sprintf(file, "%s/%s", dirname, filename);
5731 else
5732 sprintf(file, "%s", filename);
5733
5734 /* Write info... */
5735 LOG(1, "Read matrix: %s", file);
5736
5737 /* Open file... */
5738 FILE *in;
5739 if (!(in = fopen(file, "r")))
5740 ERRMSG("Cannot open file!");
5741
5742 /* Read header... */
5743 FREAD(magic, char,
5744 4,
5745 in);
5746 if (memcmp(magic, "MAT1", 4) != 0)
5747 ERRMSG("Invalid magic string!");
5748 FREAD(&nr, size_t,
5749 1,
5750 in);
5751 FREAD(&nc, size_t,
5752 1,
5753 in);
5754 if (nr != matrix->size1 || nc != matrix->size2)
5755 ERRMSG("Error reading file header!");
5756
5757 /* Read data... */
5758 for (size_t i = 0; i < nr; i++)
5759 for (size_t j = 0; j < nc; j++) {
5760 double value;
5761 FREAD(&value, double,
5762 1,
5763 in);
5764 gsl_matrix_set(matrix, i, j, value);
5765 }
5766
5767 /* Close file... */
5768 fclose(in);
5769}

◆ read_matrix_nc()

void read_matrix_nc ( const char *  dirname,
const char *  filename,
gsl_matrix *  matrix,
int  dataset 
)

Read a numerical matrix from a netCDF file.

Loads one matrix record into a GSL matrix from a netCDF file containing an unlimited dimension dataset, fixed dimensions row and col, and a variable matrix(dataset,row,col). The schema also stores per-dataset selectors rowspace, colspace, and sort, along with per-row and per-column metadata variables for channel wavenumber, time, position, and state quantity names.

Parameters
[in]dirnameDirectory path containing the matrix file (may be NULL).
[in]filenameName of the matrix file to read.
[out]matrixPointer to the preallocated GSL matrix to be filled.
[in]datasetZero-based index along the unlimited dataset dimension.
Warning
  • Aborts if the file cannot be opened.
  • The stored matrix dimensions must match the size of matrix.
Author
Lars Hoffmann

Definition at line 5773 of file jurassic.c.

5777 {
5778
5779 char file[LEN];
5780
5781 int ncid, dimid_row, dimid_col, varid;
5782
5783 size_t nr, nc;
5784
5785 /* Set filename... */
5786 if (dirname != NULL)
5787 sprintf(file, "%s/%s", dirname, filename);
5788 else
5789 sprintf(file, "%s", filename);
5790
5791 /* Write info... */
5792 LOG(1, "Read matrix: %s", file);
5793
5794 /* Open file... */
5795 NC(nc_open(file, NC_NOWRITE, &ncid));
5796
5797 /* Read dimensions... */
5798 NC(nc_inq_dimid(ncid, "row", &dimid_row));
5799 NC(nc_inq_dimid(ncid, "col", &dimid_col));
5800 NC(nc_inq_dimlen(ncid, dimid_row, &nr));
5801 NC(nc_inq_dimlen(ncid, dimid_col, &nc));
5802 if (nr != matrix->size1 || nc != matrix->size2)
5803 ERRMSG("Error reading file header!");
5804
5805 /* Read data... */
5806 NC(nc_inq_varid(ncid, "matrix", &varid));
5807 for (size_t i = 0; i < nr; i++)
5808 for (size_t j = 0; j < nc; j++) {
5809 double value;
5810 size_t start[3] = { (size_t) dataset, i, j };
5811 size_t count[3] = { 1, 1, 1 };
5812 NC(nc_get_vara_double(ncid, varid, start, count, &value));
5813 gsl_matrix_set(matrix, i, j, value);
5814 }
5815
5816 /* Close file... */
5817 NC(nc_close(ncid));
5818}

◆ read_obs()

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

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.
[in]profileZero-based profile index for netCDF input. Ignored for ASCII and binary formats.
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 5822 of file jurassic.c.

5827 {
5828
5829 /* Set filename... */
5830 char file[LEN];
5831 if (dirname != NULL)
5832 sprintf(file, "%s/%s", dirname, filename);
5833 else
5834 sprintf(file, "%s", filename);
5835
5836 /* Write info... */
5837 LOG(1, "Read observation data: %s", file);
5838
5839 /* Read ASCII data... */
5840 if (ctl->obsfmt == 1)
5841 read_obs_asc(file, ctl, obs);
5842
5843 /* Read binary data... */
5844 else if (ctl->obsfmt == 2)
5845 read_obs_bin(file, ctl, obs);
5846
5847 /* Read netCDF data... */
5848 else if (ctl->obsfmt == 3)
5849 read_obs_nc(file, ctl, obs, profile);
5850
5851 /* Check number of points... */
5852 if (obs->nr < 1)
5853 ERRMSG("Could not read any data!");
5854
5855 /* Write info... */
5856 double mini, maxi;
5857 LOG(2, "Number of ray paths: %d", obs->nr);
5858 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
5859 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5860 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
5861 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
5862 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
5863 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
5864 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
5865 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
5866 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
5867 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
5868 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
5869 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
5870 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
5871 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
5872 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
5873 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
5874 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
5875 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
5876 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
5877 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
5878 for (int id = 0; id < ctl->nd; id++) {
5879 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
5880 if (ctl->write_bbt) {
5881 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
5882 ctl->nu[id], mini, maxi);
5883 } else {
5884 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
5885 ctl->nu[id], mini, maxi);
5886 }
5887 }
5888 for (int id = 0; id < ctl->nd; id++) {
5889 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
5890 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
5891 ctl->nu[id], mini, maxi);
5892 }
5893}
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:5941
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:6019
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:5897
Here is the call graph for this function:

◆ 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, spectral values stored as radiance or brightness temperature depending on ctl->write_bbt, and transmittances. The number of spectral-value and transmittance columns 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 5897 of file jurassic.c.

5900 {
5901
5902 /* Init... */
5903 obs->nr = 0;
5904
5905 /* Open file... */
5906 FILE *in;
5907 if (!(in = fopen(filename, "r")))
5908 ERRMSG("Cannot open file!");
5909
5910 /* Read line... */
5911 char line[LEN], *tok;
5912 while (fgets(line, LEN, in)) {
5913
5914 /* Read data... */
5915 TOK(line, tok, "%lg", obs->time[obs->nr]);
5916 TOK(NULL, tok, "%lg", obs->obsz[obs->nr]);
5917 TOK(NULL, tok, "%lg", obs->obslon[obs->nr]);
5918 TOK(NULL, tok, "%lg", obs->obslat[obs->nr]);
5919 TOK(NULL, tok, "%lg", obs->vpz[obs->nr]);
5920 TOK(NULL, tok, "%lg", obs->vplon[obs->nr]);
5921 TOK(NULL, tok, "%lg", obs->vplat[obs->nr]);
5922 TOK(NULL, tok, "%lg", obs->tpz[obs->nr]);
5923 TOK(NULL, tok, "%lg", obs->tplon[obs->nr]);
5924 TOK(NULL, tok, "%lg", obs->tplat[obs->nr]);
5925 for (int id = 0; id < ctl->nd; id++)
5926 TOK(NULL, tok, "%lg", obs->rad[id][obs->nr]);
5927 for (int id = 0; id < ctl->nd; id++)
5928 TOK(NULL, tok, "%lg", obs->tau[id][obs->nr]);
5929
5930 /* Increment counter... */
5931 if ((++obs->nr) > NR)
5932 ERRMSG("Too many rays!");
5933 }
5934
5935 /* Close file... */
5936 fclose(in);
5937}

◆ 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, spectral values stored as radiance or brightness temperature depending on ctl->write_bbt, 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 5941 of file jurassic.c.

5944 {
5945
5946 /* Open file... */
5947 FILE *in;
5948 if (!(in = fopen(filename, "r")))
5949 ERRMSG("Cannot open file!");
5950
5951 /* Read header... */
5952 char magic[4];
5953 FREAD(magic, char,
5954 4,
5955 in);
5956 if (memcmp(magic, "OBS1", 4) != 0)
5957 ERRMSG("Invalid magic string!");
5958
5959 int nd;
5960 FREAD(&nd, int,
5961 1,
5962 in);
5963 if (nd != ctl->nd)
5964 ERRMSG("Error reading file header!");
5965
5966 /* Read data... */
5967 size_t nr;
5968 FREAD(&nr, size_t,
5969 1,
5970 in);
5971 obs->nr = (int) nr;
5972 if (obs->nr > NR)
5973 ERRMSG("Too many ray paths!");
5974 FREAD(obs->time, double,
5975 nr,
5976 in);
5977 FREAD(obs->obsz, double,
5978 nr,
5979 in);
5980 FREAD(obs->obslon, double,
5981 nr,
5982 in);
5983 FREAD(obs->obslat, double,
5984 nr,
5985 in);
5986 FREAD(obs->vpz, double,
5987 nr,
5988 in);
5989 FREAD(obs->vplon, double,
5990 nr,
5991 in);
5992 FREAD(obs->vplat, double,
5993 nr,
5994 in);
5995 FREAD(obs->tpz, double,
5996 nr,
5997 in);
5998 FREAD(obs->tplon, double,
5999 nr,
6000 in);
6001 FREAD(obs->tplat, double,
6002 nr,
6003 in);
6004 for (int id = 0; id < ctl->nd; id++)
6005 FREAD(obs->rad[id], double,
6006 nr,
6007 in);
6008 for (int id = 0; id < ctl->nd; id++)
6009 FREAD(obs->tau[id], double,
6010 nr,
6011 in);
6012
6013 /* Close file... */
6014 fclose(in);
6015}

◆ 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, if ctl->write_bbt == 0)
    • bt_%.4f (brightness temperature, if ctl->write_bbt != 0)
    • 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 6019 of file jurassic.c.

6023 {
6024
6025 int ncid, var_nray = -1, var_time = -1, var_obsz = -1, var_obslon =
6026 -1, var_obslat = -1, var_vpz = -1, var_vplon = -1, var_vplat =
6027 -1, var_tpz = -1, var_tplon = -1, var_tplat =
6028 -1, var_rad[ND], var_tau[ND];
6029 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
6030
6031 /* Open file... */
6032 NC(nc_open(filename, NC_NOWRITE, &ncid));
6033
6034 /* Initialize hyperslab... */
6035 size_t start[2] = { (size_t) profile, 0 };
6036 size_t count[2] = { 1, 0 };
6037
6038 /* Read nray(profile) -> obs->nr */
6039 NC(nc_inq_varid(ncid, "nray", &var_nray));
6040 NC(nc_get_vara_int(ncid, var_nray, start, count, &obs->nr));
6041 if (obs->nr < 1 || obs->nr > NR)
6042 ERRMSG("Number of ray paths out of range!");
6043
6044 /* Update hyperslab... */
6045 count[1] = (size_t) obs->nr;
6046
6047 /* Inquire geometry variables... */
6048 NC(nc_inq_varid(ncid, "time", &var_time));
6049 NC(nc_inq_varid(ncid, "obs_z", &var_obsz));
6050 NC(nc_inq_varid(ncid, "obs_lon", &var_obslon));
6051 NC(nc_inq_varid(ncid, "obs_lat", &var_obslat));
6052
6053 NC(nc_inq_varid(ncid, "vp_z", &var_vpz));
6054 NC(nc_inq_varid(ncid, "vp_lon", &var_vplon));
6055 NC(nc_inq_varid(ncid, "vp_lat", &var_vplat));
6056
6057 NC(nc_inq_varid(ncid, "tp_z", &var_tpz));
6058 NC(nc_inq_varid(ncid, "tp_lon", &var_tplon));
6059 NC(nc_inq_varid(ncid, "tp_lat", &var_tplat));
6060
6061 /* Inquire spectral variables per channel... */
6062 for (int id = 0; id < ctl->nd; id++) {
6063 char varname[LEN];
6064
6065 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
6066 NC(nc_inq_varid(ncid, varname, &var_rad[id]));
6067
6068 sprintf(varname, "tau_%.4f", ctl->nu[id]);
6069 NC(nc_inq_varid(ncid, varname, &var_tau[id]));
6070 }
6071
6072 /* Read geometry... */
6073 NC(nc_get_vara_double(ncid, var_time, start, count, obs->time));
6074 NC(nc_get_vara_double(ncid, var_obsz, start, count, obs->obsz));
6075 NC(nc_get_vara_double(ncid, var_obslon, start, count, obs->obslon));
6076 NC(nc_get_vara_double(ncid, var_obslat, start, count, obs->obslat));
6077
6078 NC(nc_get_vara_double(ncid, var_vpz, start, count, obs->vpz));
6079 NC(nc_get_vara_double(ncid, var_vplon, start, count, obs->vplon));
6080 NC(nc_get_vara_double(ncid, var_vplat, start, count, obs->vplat));
6081
6082 NC(nc_get_vara_double(ncid, var_tpz, start, count, obs->tpz));
6083 NC(nc_get_vara_double(ncid, var_tplon, start, count, obs->tplon));
6084 NC(nc_get_vara_double(ncid, var_tplat, start, count, obs->tplat));
6085
6086 /* Read radiance and transmittance... */
6087 for (int id = 0; id < ctl->nd; id++) {
6088 NC(nc_get_vara_double(ncid, var_rad[id], start, count, obs->rad[id]));
6089 NC(nc_get_vara_double(ncid, var_tau[id], start, count, obs->tau[id]));
6090 }
6091
6092 /* Close file... */
6093 NC(nc_close(ncid));
6094}

◆ 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 6098 of file jurassic.c.

6103 {
6104
6105 double fsum = 0, nu2[NSHAPE], *nurfm, *rad, radsum = 0;
6106
6107 int npts;
6108
6109 /* Allocate... */
6110 ALLOC(nurfm, double,
6111 RFMNPTS);
6112 ALLOC(rad, double,
6113 RFMNPTS);
6114
6115 /* Search RFM spectrum... */
6116 FILE *in;
6117 char filename[LEN];
6118 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000));
6119 if (!(in = fopen(filename, "r"))) {
6120 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000) + 1);
6121 if (!(in = fopen(filename, "r")))
6122 ERRMSG("Cannot find RFM data file!");
6123 }
6124 fclose(in);
6125
6126 /* Read RFM spectrum... */
6127 read_rfm_spec(filename, nurfm, rad, &npts);
6128
6129 /* Set wavenumbers... */
6130 nu2[0] = nu[0];
6131 nu2[n - 1] = nu[n - 1];
6132 for (int i = 1; i < n - 1; i++)
6133 nu2[i] = LIN(0.0, nu2[0], n - 1.0, nu2[n - 1], i);
6134
6135 /* Convolute... */
6136 for (int ipts = 0; ipts < npts; ipts++)
6137 if (nurfm[ipts] >= nu2[0] && nurfm[ipts] <= nu2[n - 1]) {
6138 const int idx = locate_irr(nu2, n, nurfm[ipts]);
6139 const double filt =
6140 LIN(nu2[idx], f[idx], nu2[idx + 1], f[idx + 1], nurfm[ipts]);
6141 fsum += filt;
6142 radsum += filt * rad[ipts];
6143 }
6144
6145 /* Free... */
6146 free(nurfm);
6147 free(rad);
6148
6149 /* Return radiance... */
6150 return radsum / fsum;
6151}
void read_rfm_spec(const char *filename, double *nu, double *rad, int *npts)
Read a Reference Forward Model (RFM) ASCII spectrum.
Definition: jurassic.c:6243
#define RFMNPTS
Maximum number of RFM spectral grid points.
Definition: jurassic.h:343
Here is the call graph for this function:

◆ 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. Optional shared-file retrieval I/O
    • SHARED_IO_PROFLIST — optional file containing profile indices for batch mode.
    • SHARED_IO_ATM_APR_FILE, SHARED_IO_OBS_MEAS_FILE — optional shared input files.
    • SHARED_IO_ATM_FINAL_FILE, SHARED_IO_OBS_FINAL_FILE — optional shared output files.
    • SHARED_IO_MATRIX_*_FILE, SHARED_IO_ATM_ERR_*_FILE, SHARED_IO_ATM_CONT_FILE, SHARED_IO_ATM_RES_FILE — optional shared diagnostic output files.
  3. Error analysis flag
    • ERR_ANA — enables or disables retrieval error analysis (0 = off, 1 = on).
  4. 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.
  5. 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].
  6. Volume mixing ratio (VMR) errors
    • ERR_Q[ig], ERR_Q_CZ[ig], ERR_Q_CH[ig] — per gas [%] and correlation lengths [km].
  7. Extinction errors
    • ERR_K[iw], ERR_K_CZ[iw], ERR_K_CH[iw] — per spectral window [km⁻¹] and correlation lengths [km].
  8. 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].
  9. 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 6155 of file jurassic.c.

6159 {
6160
6161 /* Iteration control... */
6162 ret->kernel_recomp =
6163 (int) scan_ctl(argc, argv, "KERNEL_RECOMP", -1, "3", NULL);
6164 ret->conv_itmax = (int) scan_ctl(argc, argv, "CONV_ITMAX", -1, "30", NULL);
6165 ret->conv_dmin = scan_ctl(argc, argv, "CONV_DMIN", -1, "0.1", NULL);
6166
6167 /* Error analysis... */
6168 ret->err_ana = (int) scan_ctl(argc, argv, "ERR_ANA", -1, "0", NULL);
6169
6170 for (int id = 0; id < ctl->nd; id++)
6171 ret->err_formod[id] = scan_ctl(argc, argv, "ERR_FORMOD", id, "0", NULL);
6172
6173 for (int id = 0; id < ctl->nd; id++)
6174 ret->err_noise[id] = scan_ctl(argc, argv, "ERR_NOISE", id, "0", NULL);
6175
6176 ret->err_press = scan_ctl(argc, argv, "ERR_PRESS", -1, "0", NULL);
6177 ret->err_press_cz = scan_ctl(argc, argv, "ERR_PRESS_CZ", -1, "-999", NULL);
6178 ret->err_press_ch = scan_ctl(argc, argv, "ERR_PRESS_CH", -1, "-999", NULL);
6179
6180 ret->err_temp = scan_ctl(argc, argv, "ERR_TEMP", -1, "0", NULL);
6181 ret->err_temp_cz = scan_ctl(argc, argv, "ERR_TEMP_CZ", -1, "-999", NULL);
6182 ret->err_temp_ch = scan_ctl(argc, argv, "ERR_TEMP_CH", -1, "-999", NULL);
6183
6184 for (int ig = 0; ig < ctl->ng; ig++) {
6185 ret->err_q[ig] = scan_ctl(argc, argv, "ERR_Q", ig, "0", NULL);
6186 ret->err_q_cz[ig] = scan_ctl(argc, argv, "ERR_Q_CZ", ig, "-999", NULL);
6187 ret->err_q_ch[ig] = scan_ctl(argc, argv, "ERR_Q_CH", ig, "-999", NULL);
6188 }
6189
6190 for (int iw = 0; iw < ctl->nw; iw++) {
6191 ret->err_k[iw] = scan_ctl(argc, argv, "ERR_K", iw, "0", NULL);
6192 ret->err_k_cz[iw] = scan_ctl(argc, argv, "ERR_K_CZ", iw, "-999", NULL);
6193 ret->err_k_ch[iw] = scan_ctl(argc, argv, "ERR_K_CH", iw, "-999", NULL);
6194 }
6195
6196 ret->err_clz = scan_ctl(argc, argv, "ERR_CLZ", -1, "0", NULL);
6197 ret->err_cldz = scan_ctl(argc, argv, "ERR_CLDZ", -1, "0", NULL);
6198 for (int icl = 0; icl < ctl->ncl; icl++)
6199 ret->err_clk[icl] = scan_ctl(argc, argv, "ERR_CLK", icl, "0", NULL);
6200
6201 ret->err_sft = scan_ctl(argc, argv, "ERR_SFT", -1, "0", NULL);
6202 for (int isf = 0; isf < ctl->nsf; isf++)
6203 ret->err_sfeps[isf] = scan_ctl(argc, argv, "ERR_SFEPS", isf, "0", NULL);
6204
6205 /* Shared retrieval I/O... */
6206 ret->shared_io_profile = 0;
6207 scan_ctl(argc, argv, "SHARED_IO_PROFLIST", -1, "-",
6208 ret->shared_io_proflist);
6209 scan_ctl(argc, argv, "SHARED_IO_ATM_APR_FILE", -1, "-",
6211 scan_ctl(argc, argv, "SHARED_IO_OBS_MEAS_FILE", -1, "-",
6213 scan_ctl(argc, argv, "SHARED_IO_ATM_FINAL_FILE", -1, "-",
6215 scan_ctl(argc, argv, "SHARED_IO_OBS_FINAL_FILE", -1, "-",
6217 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_APR_FILE", -1, "-",
6219 scan_ctl(argc, argv, "SHARED_IO_MATRIX_KERNEL_FILE", -1, "-",
6221 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_RET_FILE", -1, "-",
6223 scan_ctl(argc, argv, "SHARED_IO_MATRIX_CORR_FILE", -1, "-",
6225 scan_ctl(argc, argv, "SHARED_IO_MATRIX_GAIN_FILE", -1, "-",
6227 scan_ctl(argc, argv, "SHARED_IO_MATRIX_AVK_FILE", -1, "-",
6229 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_TOTAL_FILE", -1, "-",
6231 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_NOISE_FILE", -1, "-",
6233 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_FORMOD_FILE", -1, "-",
6235 scan_ctl(argc, argv, "SHARED_IO_ATM_CONT_FILE", -1, "-",
6237 scan_ctl(argc, argv, "SHARED_IO_ATM_RES_FILE", -1, "-",
6239}
double err_press_cz
Vertical correlation length for pressure error [km].
Definition: jurassic.h:1759
double err_press
Pressure error [%].
Definition: jurassic.h:1756
double err_k_cz[NW]
Vertical correlation length for extinction error [km].
Definition: jurassic.h:1786
double err_k_ch[NW]
Horizontal correlation length for extinction error [km].
Definition: jurassic.h:1789
double err_temp_cz
Vertical correlation length for temperature error [km].
Definition: jurassic.h:1768
double err_formod[ND]
Forward model error [%].
Definition: jurassic.h:1750
double err_temp
Temperature error [K].
Definition: jurassic.h:1765
double err_q_cz[NG]
Vertical correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1777
char shared_io_proflist[LEN]
Optional file containing retrieval profile indices.
Definition: jurassic.h:1810
double err_noise[ND]
Noise error [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1753
double err_clz
Cloud height error [km].
Definition: jurassic.h:1792
double err_sft
Surface temperature error [K].
Definition: jurassic.h:1801
double err_clk[NCL]
Cloud extinction error [km^-1].
Definition: jurassic.h:1798
char shared_io_obs_meas_file[LEN]
Optional shared measured-observation input file.
Definition: jurassic.h:1816
char shared_io_atm_apr_file[LEN]
Optional shared atmospheric a priori input file.
Definition: jurassic.h:1813
double err_temp_ch
Horizontal correlation length for temperature error [km].
Definition: jurassic.h:1771
char shared_io_atm_err_formod_file[LEN]
Optional shared forward-model retrieval-error output file.
Definition: jurassic.h:1849
double err_cldz
Cloud depth error [km].
Definition: jurassic.h:1795
double err_press_ch
Horizontal correlation length for pressure error [km].
Definition: jurassic.h:1762
double err_q_ch[NG]
Horizontal correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1780
char shared_io_atm_err_total_file[LEN]
Optional shared total retrieval-error output file.
Definition: jurassic.h:1843
double err_q[NG]
Volume mixing ratio error [%].
Definition: jurassic.h:1774
char shared_io_atm_err_noise_file[LEN]
Optional shared noise retrieval-error output file.
Definition: jurassic.h:1846
double err_sfeps[NSF]
Surface emissivity error.
Definition: jurassic.h:1804
int shared_io_profile
Profile index used for shared netCDF retrieval inputs and outputs.
Definition: jurassic.h:1807
double err_k[NW]
Extinction error [km^-1].
Definition: jurassic.h:1783
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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 6243 of file jurassic.c.

6247 {
6248
6249 char *line = NULL, *tok;
6250
6251 size_t line_buf_size = 0;
6252
6253 double dnu, nu0, nu1;
6254
6255 int ipts = 0;
6256
6257 /* Write info... */
6258 LOG(1, "Read RFM data: %s", filename);
6259
6260 /* Open file... */
6261 FILE *in;
6262 if (!(in = fopen(filename, "r")))
6263 ERRMSG("Cannot open file!");
6264
6265 /* Read header... */
6266 for (int i = 0; i < 4; i++)
6267 if (getline(&line, &line_buf_size, in) == -1)
6268 ERRMSG("Error while reading file header!");
6269 if (sscanf(line, "%d %lg %lg %lg", npts, &nu0, &dnu, &nu1) != 4)
6270 ERRMSG("Invalid spectrum header format!");
6271
6272 /* Check number of spectral grid points... */
6273 if (*npts > RFMNPTS)
6274 ERRMSG("Too many spectral grid points!");
6275
6276 /* Read radiance data... */
6277 while (getline(&line, &line_buf_size, in) != -1 && ipts < *npts) {
6278 tok = strtok(line, " \t\n");
6279 while (tok != NULL && ipts < *npts) {
6280 if (sscanf(tok, "%lg", &rad[ipts]) == 1)
6281 ipts++;
6282 tok = strtok(NULL, " \t\n");
6283 }
6284 }
6285
6286 /* Check number of spectral grid points... */
6287 if (ipts != *npts)
6288 ERRMSG("Error while reading RFM data!");
6289
6290 /* Compute wavenumbers... */
6291 for (ipts = 0; ipts < *npts; ipts++)
6292 nu[ipts] = LIN(0.0, nu0, (double) (*npts - 1), nu1, (double) ipts);
6293
6294 /* Close file... */
6295 fclose(in);
6296
6297 /* Free.. */
6298 free(line);
6299}

◆ 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 6303 of file jurassic.c.

6307 {
6308
6309 char line[LEN];
6310
6311 /* Write info... */
6312 LOG(1, "Read shape function: %s", filename);
6313
6314 /* Open file... */
6315 FILE *in;
6316 if (!(in = fopen(filename, "r")))
6317 ERRMSG("Cannot open file!");
6318
6319 /* Read data... */
6320 *n = 0;
6321 while (fgets(line, LEN, in))
6322 if (sscanf(line, "%lg %lg", &x[*n], &y[*n]) == 2)
6323 if ((++(*n)) > NSHAPE)
6324 ERRMSG("Too many data points!");
6325
6326 /* Close file... */
6327 fclose(in);
6328
6329 /* Check number of data points... */
6330 if (*n < 2)
6331 ERRMSG("Could not read any data!");
6332
6333 /* Write info... */
6334 double mini, maxi;
6335 LOG(2, "Number of data points: %d", *n);
6336 gsl_stats_minmax(&mini, &maxi, x, 1, (size_t) *n);
6337 LOG(2, "Range of x values: %.4f ... %.4f", mini, maxi);
6338 gsl_stats_minmax(&mini, &maxi, y, 1, (size_t) *n);
6339 LOG(2, "Range of y values: %g ... %g", mini, maxi);
6340}

◆ 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 6344 of file jurassic.c.

6345 {
6346
6347 /* Allocate... */
6348 tbl_t *tbl;
6349 ALLOC(tbl, tbl_t, 1);
6350
6351 /* Initialize filter function sizes... */
6352 for (int id = 0; id < ctl->nd; id++)
6353 tbl->filt_n[id] = 0;
6354
6355 /* Loop over trace gases... */
6356 for (int ig = 0; ig < ctl->ng; ig++) {
6357
6358 /* Read ASCII look-up tables... */
6359 if (ctl->tblfmt == 1)
6360 for (int id = 0; id < ctl->nd; id++) {
6361 read_tbl_asc(ctl, tbl, id, ig);
6362 TBL_LOG(tbl, id, ig);
6363 }
6364
6365 /* Read binary look-up tables... */
6366 else if (ctl->tblfmt == 2)
6367 for (int id = 0; id < ctl->nd; id++) {
6368 read_tbl_bin(ctl, tbl, id, ig);
6369 TBL_LOG(tbl, id, ig);
6370 }
6371
6372 /* Read netCDF look-up tables... */
6373 else if (ctl->tblfmt == 3) {
6374
6375 /* Open file... */
6376 int ncid;
6377 char filename[2 * LEN];
6378 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
6379 if (nc_open(filename, NC_NOWRITE, &ncid) != NC_NOERR) {
6380 WARN("Missing emissivity table: %s", filename);
6381 continue;
6382 } else
6383 LOG(1, "Read emissivity table: %s", filename);
6384
6385 /* Read channels... */
6386 for (int id = 0; id < ctl->nd; id++) {
6387 read_tbl_nc_channel(ctl, tbl, id, ig, ncid);
6388 TBL_LOG(tbl, id, ig);
6389 }
6390
6391 /* Close file... */
6392 NC(nc_close(ncid));
6393 }
6394 }
6395
6396 /* Calculate log-pressure... */
6397 for (int id = 0; id < ctl->nd; id++)
6398 for (int ig = 0; ig < ctl->ng; ig++)
6399 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
6400 tbl->lnp[id][ig][ip] = log(tbl->p[id][ig][ip]);
6401
6402 /* Read filter functions... */
6403 if (ctl->tblfmt == 1)
6404 for (int id = 0; id < ctl->nd; id++) {
6405 char filename[2 * LEN];
6406 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
6407 read_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
6408 &tbl->filt_n[id]);
6409 }
6410
6411 /* Initialize source function lookup tables... */
6412 init_srcfunc(ctl, tbl);
6413
6414 /* Return pointer... */
6415 return tbl;
6416}
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:6543
void init_srcfunc(const ctl_t *ctl, tbl_t *tbl)
Initialize source function lookup tables from emissivity data.
Definition: jurassic.c:4003
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:6420
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:6587
#define TBL_LOG(tbl, id, ig)
Log detailed statistics of an emissivity look-up table.
Definition: jurassic.h:1147
Emissivity look-up tables.
Definition: jurassic.h:1865
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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 6420 of file jurassic.c.

6424 {
6425
6426 /* Initialize... */
6427 double eps, eps_old = -999, press, press_old = -999, temp,
6428 temp_old = -999, u, u_old = -999;
6429 int nrange = 0;
6430
6431 /* Set filename... */
6432 char filename[2 * LEN];
6433 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
6434 ctl->nu[id], ctl->emitter[ig]);
6435
6436 /* Open file... */
6437 FILE *in;
6438 if (!(in = fopen(filename, "r"))) {
6439 WARN("Missing emissivity table: %s", filename);
6440 return;
6441 } else
6442 LOG(1, "Read emissivity table: %s", filename);
6443
6444 /* Init pressure level counter... */
6445 tbl->np[id][ig] = -1;
6446
6447 /* Read data... */
6448 char line[LEN];
6449 while (fgets(line, LEN, in)) {
6450
6451 /* Parse line... */
6452 if (sscanf(line, "%lg %lg %lg %lg", &press, &temp, &u, &eps) != 4)
6453 continue;
6454
6455 /* Check ranges... */
6456 if (u < UMIN || u > UMAX || eps < EPSMIN || eps > EPSMAX) {
6457 nrange++;
6458 continue;
6459 }
6460
6461 /* Determine pressure index... */
6462 if (press != press_old) {
6463 press_old = press;
6464 if ((++tbl->np[id][ig]) >= TBLNP)
6465 ERRMSG("Too many pressure levels!");
6466 tbl->nt[id][ig][tbl->np[id][ig]] = -1;
6467 }
6468
6469 /* Determine temperature index... */
6470 if (temp != temp_old) {
6471 temp_old = temp;
6472 if ((++tbl->nt[id][ig][tbl->np[id][ig]]) >= TBLNT)
6473 ERRMSG("Too many temperatures!");
6474 tbl->nu[id][ig][tbl->np[id][ig]]
6475 [tbl->nt[id][ig][tbl->np[id][ig]]] = -1;
6476
6477 /* Reset dynamic arrays for this (ip,it) node... */
6478 tbl->logu[id][ig][tbl->np[id][ig]]
6479 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6480 tbl->logeps[id][ig][tbl->np[id][ig]]
6481 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6482 }
6483
6484 /* Determine column density index... */
6485 if ((eps > eps_old && u > u_old) || tbl->nu[id][ig][tbl->np[id][ig]]
6486 [tbl->nt[id][ig][tbl->np[id][ig]]] < 0) {
6487 eps_old = eps;
6488 u_old = u;
6489 if ((++tbl->nu[id][ig][tbl->np[id][ig]]
6490 [tbl->nt[id][ig][tbl->np[id][ig]]]) >= TBLNU)
6491 ERRMSG("Too many column densities!");
6492
6493 /* Grow dynamic arrays (nu is used as an index during reading). */
6494 const int ip = tbl->np[id][ig];
6495 const int it = tbl->nt[id][ig][ip];
6496 const int iu = tbl->nu[id][ig][ip][it];
6497 const size_t nnew = (size_t) (iu + 1);
6498
6499 float *tmp = (float *) realloc(tbl->logu[id][ig][ip][it],
6500 nnew * sizeof(float));
6501 if (!tmp)
6502 ERRMSG("Out of memory!");
6503 tbl->logu[id][ig][ip][it] = tmp;
6504
6505 tmp =
6506 (float *) realloc(tbl->logeps[id][ig][ip][it], nnew * sizeof(float));
6507 if (!tmp)
6508 ERRMSG("Out of memory!");
6509 tbl->logeps[id][ig][ip][it] = tmp;
6510 }
6511
6512 /* Store data... */
6513 tbl->p[id][ig][tbl->np[id][ig]] = press;
6514 tbl->t[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6515 = temp;
6516 tbl->logu[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6517 [tbl->nu[id][ig][tbl->np[id][ig]]
6518 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(u);
6519 tbl->logeps[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6520 [tbl->nu[id][ig][tbl->np[id][ig]]
6521 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(eps);
6522 }
6523
6524 /* Increment counters... */
6525 tbl->np[id][ig]++;
6526 for (int ip = 0; ip < tbl->np[id][ig]; ip++) {
6527 tbl->nt[id][ig][ip]++;
6528 for (int it = 0; it < tbl->nt[id][ig][ip]; it++)
6529 tbl->nu[id][ig][ip][it]++;
6530 }
6531
6532 /* Check ranges... */
6533 if (nrange > 0)
6534 WARN("Column density or emissivity out of range (%d data points)!",
6535 nrange);
6536
6537 /* Close file... */
6538 fclose(in);
6539}
#define UMAX
Maximum column density [molecules/cm^2].
Definition: jurassic.h:259
#define TBLNU
Maximum number of column densities per emissivity curve.
Definition: jurassic.h:363
#define TBLNT
Maximum number of temperatures in emissivity tables.
Definition: jurassic.h:358
#define EPSMAX
Maximum emissivity.
Definition: jurassic.h:179
#define TBLNP
Maximum number of pressure levels in emissivity tables.
Definition: jurassic.h:348

◆ 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 6543 of file jurassic.c.

6547 {
6548
6549 /* Set filename... */
6550 char filename[2 * LEN];
6551 sprintf(filename, "%s_%.4f_%s.bin",
6552 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
6553
6554 /* Open file... */
6555 FILE *in = fopen(filename, "rb");
6556 if (!in) {
6557 WARN("Missing emissivity table: %s", filename);
6558 return;
6559 } else
6560 LOG(1, "Read emissivity table: %s", filename);
6561
6562 /* Read length.. */
6563 size_t nbytes;
6564 FREAD(&nbytes, size_t,
6565 1,
6566 in);
6567 if (nbytes <= 0)
6568 ERRMSG("Invalid packed table size!");
6569
6570 /* Read packed blob... */
6571 uint8_t *work = NULL;
6572 ALLOC(work, uint8_t, nbytes);
6573 FREAD(work, uint8_t, nbytes, in);
6574
6575 /* Unpack... */
6576 tbl_unpack(tbl, id, ig, work);
6577
6578 /* Close file... */
6579 fclose(in);
6580
6581 /* Free... */
6582 free(work);
6583}
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:7141
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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 6587 of file jurassic.c.

6592 {
6593
6594 char varname[LEN];
6595
6596 int varid, dimid;
6597
6598 size_t nbytes;
6599
6600 /* Inquire variable... */
6601 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
6602 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
6603 WARN("Missing emissivity table: %s", varname);
6604 return;
6605 } else
6606 LOG(1, "Read emissivity table: %s", varname);
6607 NC(nc_inq_vardimid(ncid, varid, &dimid));
6608 NC(nc_inq_dimlen(ncid, dimid, &nbytes));
6609
6610 /* Read variable... */
6611 uint8_t *work = NULL;
6612 ALLOC(work, uint8_t, nbytes);
6613 NC(nc_get_var_uchar(ncid, varid, (unsigned char *) work));
6614
6615 /* Unpack... */
6616 tbl_unpack(tbl, id, ig, work);
6617
6618 /* Free... */
6619 free(work);
6620}
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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 6624 of file jurassic.c.

6630 {
6631
6632 char dummy[LEN], fullname1[LEN], fullname2[LEN], line[LEN],
6633 rvarname[LEN], rval[LEN];
6634
6635 int contain = 0;
6636
6637 /* Open file... */
6638 FILE *in = NULL;
6639 if (argv[1][0] != '-')
6640 if (!(in = fopen(argv[1], "r")))
6641 ERRMSG("Cannot open file!");
6642
6643 /* Set full variable name... */
6644 if (arridx >= 0) {
6645 sprintf(fullname1, "%s[%d]", varname, arridx);
6646 sprintf(fullname2, "%s[*]", varname);
6647 } else {
6648 sprintf(fullname1, "%s", varname);
6649 sprintf(fullname2, "%s", varname);
6650 }
6651
6652 /* Read data... */
6653 if (in != NULL)
6654 while (fgets(line, LEN, in))
6655 if (sscanf(line, "%s %s %s", rvarname, dummy, rval) == 3)
6656 if (strcasecmp(rvarname, fullname1) == 0 ||
6657 strcasecmp(rvarname, fullname2) == 0) {
6658 contain = 1;
6659 break;
6660 }
6661 for (int i = 1; i < argc - 1; i++)
6662 if (strcasecmp(argv[i], fullname1) == 0 ||
6663 strcasecmp(argv[i], fullname2) == 0) {
6664 sprintf(rval, "%s", argv[i + 1]);
6665 contain = 1;
6666 break;
6667 }
6668
6669 /* Close file... */
6670 if (in != NULL)
6671 fclose(in);
6672
6673 /* Check for missing variables... */
6674 if (!contain) {
6675 if (strlen(defvalue) > 0)
6676 sprintf(rval, "%s", defvalue);
6677 else
6678 ERRMSG("Missing variable %s!\n", fullname1);
6679 }
6680
6681 /* Write info... */
6682 LOG(1, "%s = %s", fullname1, rval);
6683
6684 /* Return values... */
6685 if (value != NULL)
6686 sprintf(value, "%s", rval);
6687 return atof(rval);
6688}

◆ 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 6692 of file jurassic.c.

6698 {
6699
6700 /* Get sizes... */
6701 const size_t n = s_a->size1;
6702
6703 /* Allocate... */
6704 gsl_vector *x_a = gsl_vector_alloc(n);
6705
6706 /* Get sigma vector... */
6707 atm2x(ctl, atm, x_a, NULL, NULL);
6708 for (size_t i = 0; i < n; i++) {
6709 if (iqa[i] == IDXP)
6710 gsl_vector_set(x_a, i, ret->err_press / 100 * gsl_vector_get(x_a, i));
6711 if (iqa[i] == IDXT)
6712 gsl_vector_set(x_a, i, ret->err_temp);
6713 for (int ig = 0; ig < ctl->ng; ig++)
6714 if (iqa[i] == IDXQ(ig))
6715 gsl_vector_set(x_a, i, ret->err_q[ig] / 100 * gsl_vector_get(x_a, i));
6716 for (int iw = 0; iw < ctl->nw; iw++)
6717 if (iqa[i] == IDXK(iw))
6718 gsl_vector_set(x_a, i, ret->err_k[iw]);
6719 if (iqa[i] == IDXCLZ)
6720 gsl_vector_set(x_a, i, ret->err_clz);
6721 if (iqa[i] == IDXCLDZ)
6722 gsl_vector_set(x_a, i, ret->err_cldz);
6723 for (int icl = 0; icl < ctl->ncl; icl++)
6724 if (iqa[i] == IDXCLK(icl))
6725 gsl_vector_set(x_a, i, ret->err_clk[icl]);
6726 if (iqa[i] == IDXSFT)
6727 gsl_vector_set(x_a, i, ret->err_sft);
6728 for (int isf = 0; isf < ctl->nsf; isf++)
6729 if (iqa[i] == IDXSFEPS(isf))
6730 gsl_vector_set(x_a, i, ret->err_sfeps[isf]);
6731 }
6732
6733 /* Check standard deviations... */
6734 for (size_t i = 0; i < n; i++)
6735 if (POW2(gsl_vector_get(x_a, i)) <= 0)
6736 ERRMSG("Check a priori data (zero standard deviation)!");
6737
6738 /* Initialize diagonal covariance... */
6739 gsl_matrix_set_zero(s_a);
6740 for (size_t i = 0; i < n; i++)
6741 gsl_matrix_set(s_a, i, i, POW2(gsl_vector_get(x_a, i)));
6742
6743 /* Loop over matrix elements... */
6744 for (size_t i = 0; i < n; i++)
6745 for (size_t j = 0; j < n; j++)
6746 if (i != j && iqa[i] == iqa[j]) {
6747
6748 /* Initialize... */
6749 double cz = 0;
6750 double ch = 0;
6751
6752 /* Set correlation lengths for pressure... */
6753 if (iqa[i] == IDXP) {
6754 cz = ret->err_press_cz;
6755 ch = ret->err_press_ch;
6756 }
6757
6758 /* Set correlation lengths for temperature... */
6759 if (iqa[i] == IDXT) {
6760 cz = ret->err_temp_cz;
6761 ch = ret->err_temp_ch;
6762 }
6763
6764 /* Set correlation lengths for volume mixing ratios... */
6765 for (int ig = 0; ig < ctl->ng; ig++)
6766 if (iqa[i] == IDXQ(ig)) {
6767 cz = ret->err_q_cz[ig];
6768 ch = ret->err_q_ch[ig];
6769 }
6770
6771 /* Set correlation lengths for extinction... */
6772 for (int iw = 0; iw < ctl->nw; iw++)
6773 if (iqa[i] == IDXK(iw)) {
6774 cz = ret->err_k_cz[iw];
6775 ch = ret->err_k_ch[iw];
6776 }
6777
6778 /* Compute correlations... */
6779 if (cz > 0 && ch > 0) {
6780
6781 /* Get Cartesian coordinates... */
6782 double x0[3], x1[3];
6783 geo2cart(0, atm->lon[ipa[i]], atm->lat[ipa[i]], x0);
6784 geo2cart(0, atm->lon[ipa[j]], atm->lat[ipa[j]], x1);
6785
6786 /* Compute correlations... */
6787 const double rho =
6788 exp(-DIST(x0, x1) / ch -
6789 fabs(atm->z[ipa[i]] - atm->z[ipa[j]]) / cz);
6790
6791 /* Set covariance... */
6792 gsl_matrix_set(s_a, i, j, gsl_vector_get(x_a, i)
6793 * gsl_vector_get(x_a, j) * rho);
6794 }
6795 }
6796
6797 /* Free... */
6798 gsl_vector_free(x_a);
6799}
#define DIST(a, b)
Compute Cartesian distance between two 3D vectors.
Definition: jurassic.h:523
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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 6803 of file jurassic.c.

6809 {
6810
6811 /* Allocate... */
6812 obs_t *obs_err;
6813 ALLOC(obs_err, obs_t, 1);
6814
6815 /* Get size... */
6816 const size_t m = sig_eps_inv->size;
6817
6818 /* Noise error (always considered in retrieval fit)... */
6819 copy_obs(ctl, obs_err, obs, 1);
6820 for (int ir = 0; ir < obs_err->nr; ir++)
6821 for (int id = 0; id < ctl->nd; id++)
6822 obs_err->rad[id][ir]
6823 = (isfinite(obs->rad[id][ir]) ? ret->err_noise[id] : NAN);
6824 obs2y(ctl, obs_err, sig_noise, NULL, NULL);
6825
6826 /* Forward model error (always considered in retrieval fit)... */
6827 copy_obs(ctl, obs_err, obs, 1);
6828 for (int ir = 0; ir < obs_err->nr; ir++)
6829 for (int id = 0; id < ctl->nd; id++)
6830 obs_err->rad[id][ir]
6831 = fabs(ret->err_formod[id] / 100 * obs->rad[id][ir]);
6832 obs2y(ctl, obs_err, sig_formod, NULL, NULL);
6833
6834 /* Total error... */
6835 for (size_t i = 0; i < m; i++)
6836 gsl_vector_set(sig_eps_inv, i, 1 / sqrt(POW2(gsl_vector_get(sig_noise, i))
6837 +
6838 POW2(gsl_vector_get
6839 (sig_formod, i))));
6840
6841 /* Check standard deviations... */
6842 for (size_t i = 0; i < m; i++)
6843 if (gsl_vector_get(sig_eps_inv, i) <= 0)
6844 ERRMSG("Check measurement errors (zero standard deviation)!");
6845
6846 /* Free... */
6847 free(obs_err);
6848}
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◆ shared_io_input_target()

const char * shared_io_input_target ( const ret_t ret,
const char *  shared_file,
const char *  legacy_file,
const char **  dirname,
int *  profile 
)

Resolve retrieval input target for legacy-directory and shared-file modes.

Chooses whether a retrieval input should be read from the legacy per-directory file layout or from a shared netCDF file selected through the retrieval control structure.

Parameters
[in]retRetrieval configuration structure (ret_t).
[in]shared_fileShared input file name from ret_t; ignored when set to "-".
[in]legacy_fileLegacy per-directory input file name.
[out]dirnameOutput directory pointer. Set to ret->dir for legacy input and to NULL for shared-file input.
[out]profileRecord index used by the generic I/O wrappers.
Returns
Pointer to the selected input file name.
  • In shared-file mode, the function returns shared_file, sets *dirname = NULL, and uses ret->shared_io_profile as the profile or dataset index.
  • In legacy mode, the function returns legacy_file, sets *dirname = ret->dir, and resets *profile = 0.
See also
shared_io_output_target, read_atm, read_obs
Author
Lars Hoffmann

Definition at line 6852 of file jurassic.c.

6857 {
6858
6859 if (shared_file[0] != '-') {
6860 *dirname = NULL;
6861 *profile = ret->shared_io_profile;
6862 return shared_file;
6863 }
6864
6865 *dirname = ret->dir;
6866 *profile = 0;
6867 return legacy_file;
6868}
char dir[LEN]
Working directory.
Definition: jurassic.h:1735

◆ shared_io_output_target()

const char * shared_io_output_target ( const ret_t ret,
const char *  shared_file,
const char *  legacy_file,
const char **  dirname,
int *  profile 
)

Resolve retrieval output target for legacy-directory and shared-file modes.

Chooses whether a retrieval product should be written into the legacy per-directory file layout or into a shared netCDF file selected through the retrieval control structure.

Parameters
[in]retRetrieval configuration structure (ret_t).
[in]shared_fileShared output file name from ret_t; ignored when set to "-".
[in]legacy_fileLegacy per-directory output file name.
[out]dirnameOutput directory pointer. Set to ret->dir for legacy output and to NULL for shared-file output.
[out]profileRecord index used by the generic I/O wrappers.
Returns
Pointer to the selected output file name.
  • In shared-file mode, the function returns shared_file, sets *dirname = NULL, and uses ret->shared_io_profile as the profile or dataset index.
  • In legacy mode, the function returns legacy_file, sets *dirname = ret->dir, and resets *profile = 0.
See also
shared_io_output_file, shared_io_lock, shared_io_unlock, write_atm, write_obs, write_matrix
Author
Lars Hoffmann

Definition at line 6872 of file jurassic.c.

6877 {
6878
6879 if (shared_file[0] != '-') {
6880 *dirname = NULL;
6881 *profile = ret->shared_io_profile;
6882 return shared_file;
6883 }
6884
6885 *dirname = ret->dir;
6886 *profile = 0;
6887 return legacy_file;
6888}

◆ shared_io_lock()

int shared_io_lock ( const ret_t ret)

Acquire an exclusive lock for shared retrieval output files.

Creates or opens a lock file derived from the configured shared retrieval output target and blocks until an exclusive file lock can be obtained.

Parameters
[in]retRetrieval configuration structure (ret_t).
Returns
File descriptor of the acquired lock, or -1 if no shared output file is configured.

The lock file name is formed as "<shared-output>.lock", where shared-output is determined by shared_io_output_file(). The lock is used to serialize writes when multiple retrieval processes or MPI ranks write into the same shared netCDF files.

See also
shared_io_output_file, shared_io_unlock
Author
Lars Hoffmann

Definition at line 6892 of file jurassic.c.

6893 {
6894
6895 const char *base = shared_io_output_file(ret);
6896 if (base == NULL)
6897 return -1;
6898
6899 char lockfile[LEN];
6900 if (snprintf(lockfile, LEN, "%s.lock", base) >= LEN)
6901 ERRMSG("Lock file name too long!");
6902 int fd = open(lockfile, O_CREAT | O_RDWR, 0666);
6903 if (fd < 0)
6904 ERRMSG("Cannot open lock file!");
6905
6906 struct flock fl;
6907 fl.l_type = F_WRLCK;
6908 fl.l_whence = SEEK_SET;
6909 fl.l_start = 0;
6910 fl.l_len = 0;
6911 if (fcntl(fd, F_SETLKW, &fl) < 0)
6912 ERRMSG("Cannot lock shared output file!");
6913
6914 return fd;
6915}
const char * shared_io_output_file(const ret_t *ret)
Return the primary shared retrieval output file configured for locking.
Definition: jurassic.c:6937
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◆ shared_io_unlock()

void shared_io_unlock ( int  fd)

Release a shared retrieval output lock.

Unlocks and closes the file descriptor returned by shared_io_lock().

Parameters
[in]fdLock file descriptor returned by shared_io_lock().

Passing a negative descriptor is allowed and results in no action.

See also
shared_io_lock
Author
Lars Hoffmann

Definition at line 6919 of file jurassic.c.

6920 {
6921
6922 if (fd < 0)
6923 return;
6924
6925 struct flock fl;
6926 fl.l_type = F_UNLCK;
6927 fl.l_whence = SEEK_SET;
6928 fl.l_start = 0;
6929 fl.l_len = 0;
6930 if (fcntl(fd, F_SETLK, &fl) < 0)
6931 ERRMSG("Cannot unlock shared output file!");
6932 close(fd);
6933}

◆ shared_io_output_file()

const char * shared_io_output_file ( const ret_t ret)

Return the primary shared retrieval output file configured for locking.

Scans the shared retrieval output file fields in ret_t and returns the first configured file name. This file name is then used as the base for the shared lock file created by shared_io_lock().

Parameters
[in]retRetrieval configuration structure (ret_t).
Returns
Pointer to the first configured shared output file name, or NULL if shared-output mode is not active.
Note
This helper does not return shared input files. It is only used to locate a representative shared output target for lock-file naming.
See also
shared_io_lock, shared_io_output_target
Author
Lars Hoffmann

Definition at line 6937 of file jurassic.c.

6938 {
6939
6940 if (ret->shared_io_atm_final_file[0] != '-')
6941 return ret->shared_io_atm_final_file;
6942 if (ret->shared_io_obs_final_file[0] != '-')
6943 return ret->shared_io_obs_final_file;
6944 if (ret->shared_io_matrix_cov_apr_file[0] != '-')
6946 if (ret->shared_io_matrix_kernel_file[0] != '-')
6947 return ret->shared_io_matrix_kernel_file;
6948 if (ret->shared_io_matrix_cov_ret_file[0] != '-')
6950 if (ret->shared_io_matrix_corr_file[0] != '-')
6951 return ret->shared_io_matrix_corr_file;
6952 if (ret->shared_io_matrix_gain_file[0] != '-')
6953 return ret->shared_io_matrix_gain_file;
6954 if (ret->shared_io_matrix_avk_file[0] != '-')
6955 return ret->shared_io_matrix_avk_file;
6956 if (ret->shared_io_atm_err_total_file[0] != '-')
6957 return ret->shared_io_atm_err_total_file;
6958 if (ret->shared_io_atm_err_noise_file[0] != '-')
6959 return ret->shared_io_atm_err_noise_file;
6960 if (ret->shared_io_atm_err_formod_file[0] != '-')
6962 if (ret->shared_io_atm_cont_file[0] != '-')
6963 return ret->shared_io_atm_cont_file;
6964 if (ret->shared_io_atm_res_file[0] != '-')
6965 return ret->shared_io_atm_res_file;
6966 return NULL;
6967}

◆ 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 6971 of file jurassic.c.

6975 {
6976
6977 /* Find minimum altitude... */
6978 const size_t ip = gsl_stats_min_index(los->z, 1, (size_t) los->np);
6979
6980 /* Nadir or zenith... */
6981 if (ip <= 0 || ip >= (size_t) los->np - 1) {
6982 *tpz = los->z[los->np - 1];
6983 *tplon = los->lon[los->np - 1];
6984 *tplat = los->lat[los->np - 1];
6985 }
6986
6987 /* Limb... */
6988 else {
6989
6990 /* Determine interpolating polynomial y=a*x^2+b*x+c... */
6991 const double yy0 = los->z[ip - 1];
6992 const double yy1 = los->z[ip];
6993 const double yy2 = los->z[ip + 1];
6994 const double x1 = sqrt(POW2(los->ds[ip]) - POW2(yy1 - yy0));
6995 const double x2 = x1 + sqrt(POW2(los->ds[ip + 1]) - POW2(yy2 - yy1));
6996 const double a = 1 / (x1 - x2) * (-(yy0 - yy1) / x1 + (yy0 - yy2) / x2);
6997 const double b = -(yy0 - yy1) / x1 - a * x1;
6998 const double c = yy0;
6999
7000 /* Get tangent point location... */
7001 double dummy, v[3], v0[3], v2[3];
7002 const double x = -b / (2 * a);
7003 *tpz = a * x * x + b * x + c;
7004 geo2cart(los->z[ip - 1], los->lon[ip - 1], los->lat[ip - 1], v0);
7005 geo2cart(los->z[ip + 1], los->lon[ip + 1], los->lat[ip + 1], v2);
7006 for (int i = 0; i < 3; i++)
7007 v[i] = LIN(0.0, v0[i], x2, v2[i], x);
7008 cart2geo(v, &dummy, tplon, tplat);
7009 }
7010}
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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 7014 of file jurassic.c.

7016 {
7017
7018 /* Check pointer... */
7019 if (!tbl)
7020 return;
7021
7022 /* Loop over channels and emitters... */
7023 for (int id = 0; id < ctl->nd; id++)
7024 for (int ig = 0; ig < ctl->ng; ig++) {
7025
7026 /* Check number of pressure levels... */
7027 const int np = tbl->np[id][ig];
7028 if (np < 0)
7029 continue;
7030
7031 /* Loop over pressure levels... */
7032 for (int ip = 0; ip < np; ip++) {
7033
7034 /* Loop over temperature levels... */
7035 const int nt = tbl->nt[id][ig][ip];
7036 for (int it = 0; it < nt; it++) {
7037
7038 /* Free... */
7039 free(tbl->logu[id][ig][ip][it]);
7040 free(tbl->logeps[id][ig][ip][it]);
7041 tbl->logu[id][ig][ip][it] = NULL;
7042 tbl->logeps[id][ig][ip][it] = NULL;
7043 }
7044 }
7045 }
7046
7047 /* Free... */
7048 free(tbl);
7049}

◆ 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 7053 of file jurassic.c.

7058 {
7059
7060 uint8_t *cur = buf;
7061
7062 /* Pack lookup table... */
7063 int np = tbl->np[id][ig];
7064 memcpy(cur, &np, sizeof(np));
7065 cur += sizeof(np);
7066
7067 memcpy(cur, tbl->p[id][ig], (size_t) np * sizeof(double));
7068 cur += ((size_t) np * sizeof(double));
7069
7070 for (int ip = 0; ip < np; ip++) {
7071 int nt = tbl->nt[id][ig][ip];
7072 memcpy(cur, &nt, sizeof(nt));
7073 cur += sizeof(nt);
7074
7075 memcpy(cur, tbl->t[id][ig][ip], (size_t) nt * sizeof(double));
7076 cur += ((size_t) nt * sizeof(double));
7077
7078 for (int it = 0; it < nt; it++) {
7079 int nu = tbl->nu[id][ig][ip][it];
7080 memcpy(cur, &nu, sizeof(nu));
7081 cur += sizeof(nu);
7082
7083 memcpy(cur, tbl->logu[id][ig][ip][it], (size_t) nu * sizeof(float));
7084 cur += ((size_t) nu * sizeof(float));
7085
7086 memcpy(cur, tbl->logeps[id][ig][ip][it], (size_t) nu * sizeof(float));
7087 cur += ((size_t) nu * sizeof(float));
7088 }
7089 }
7090
7091 /* Pack filter function... */
7092 const int n = tbl->filt_n[id];
7093 memcpy(cur, &n, sizeof(n));
7094 cur += sizeof(n);
7095
7096 memcpy(cur, tbl->filt_nu[id], (size_t) n * sizeof(double));
7097 cur += ((size_t) n * sizeof(double));
7098
7099 memcpy(cur, tbl->filt_f[id], (size_t) n * sizeof(double));
7100 cur += ((size_t) n * sizeof(double));
7101
7102 *bytes_used = (size_t) (cur - buf);
7103}

◆ 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 7107 of file jurassic.c.

7110 {
7111
7112 size_t bytes = 0;
7113
7114 /* Size of lookup table... */
7115 const int np = tbl->np[id][ig];
7116 bytes += sizeof(int);
7117 bytes += ((size_t) np * sizeof(double));
7118
7119 for (int ip = 0; ip < np; ip++) {
7120 const int nt = tbl->nt[id][ig][ip];
7121 bytes += sizeof(int);
7122 bytes += ((size_t) nt * sizeof(double));
7123
7124 for (int it = 0; it < nt; it++) {
7125 const int nu = tbl->nu[id][ig][ip][it];
7126 bytes += sizeof(int);
7127 bytes += (2 * (size_t) nu * sizeof(float));
7128 }
7129 }
7130
7131 /* Size of filter function... */
7132 const int n = tbl->filt_n[id];
7133 bytes += sizeof(int);
7134 bytes += (2 * (size_t) n * sizeof(double));
7135
7136 return bytes;
7137}

◆ 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 7141 of file jurassic.c.

7145 {
7146
7147 const uint8_t *cur = buf;
7148
7149 /* Unpack lookup table... */
7150 int np;
7151 memcpy(&np, cur, sizeof(np));
7152 cur += sizeof(np);
7153
7154 if (np < 0 || np > TBLNP)
7155 ERRMSG("np out of range!");
7156 tbl->np[id][ig] = np;
7157
7158 memcpy(tbl->p[id][ig], cur, (size_t) np * sizeof(double));
7159 cur += ((size_t) np * sizeof(double));
7160
7161 for (int ip = 0; ip < np; ip++) {
7162
7163 int nt;
7164 memcpy(&nt, cur, sizeof(nt));
7165 cur += sizeof(nt);
7166
7167 if (nt < 0 || nt > TBLNT)
7168 ERRMSG("nt out of range!");
7169 tbl->nt[id][ig][ip] = nt;
7170
7171 memcpy(tbl->t[id][ig][ip], cur, (size_t) nt * sizeof(double));
7172 cur += ((size_t) nt * sizeof(double));
7173
7174 for (int it = 0; it < nt; it++) {
7175
7176 int nu;
7177 memcpy(&nu, cur, sizeof(nu));
7178 cur += sizeof(nu);
7179
7180 if (nu < 0 || nu > TBLNU)
7181 ERRMSG("nu out of range!");
7182 tbl->nu[id][ig][ip][it] = nu;
7183
7184 ALLOC(tbl->logu[id][ig][ip][it], float,
7185 nu);
7186 ALLOC(tbl->logeps[id][ig][ip][it], float,
7187 nu);
7188
7189 memcpy(tbl->logu[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7190 cur += ((size_t) nu * sizeof(float));
7191
7192 memcpy(tbl->logeps[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7193 cur += ((size_t) nu * sizeof(float));
7194 }
7195 }
7196
7197 /* Unpack filter function... */
7198 int n;
7199 memcpy(&n, cur, sizeof(n));
7200 cur += sizeof(n);
7201
7202 if (n < 2 || n > NSHAPE)
7203 ERRMSG("Missing or invalid filter function (filt_n) in packed table!");
7204 tbl->filt_n[id] = n;
7205
7206 memcpy(tbl->filt_nu[id], cur, (size_t) n * sizeof(double));
7207 cur += ((size_t) n * sizeof(double));
7208
7209 memcpy(tbl->filt_f[id], cur, (size_t) n * sizeof(double));
7210 cur += ((size_t) n * sizeof(double));
7211
7212 return (size_t) (cur - buf);
7213}

◆ 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 7217 of file jurassic.c.

7225 {
7226
7227 struct tm t0, t1;
7228
7229 t0.tm_year = 100;
7230 t0.tm_mon = 0;
7231 t0.tm_mday = 1;
7232 t0.tm_hour = 0;
7233 t0.tm_min = 0;
7234 t0.tm_sec = 0;
7235
7236 t1.tm_year = year - 1900;
7237 t1.tm_mon = mon - 1;
7238 t1.tm_mday = day;
7239 t1.tm_hour = hour;
7240 t1.tm_min = min;
7241 t1.tm_sec = sec;
7242
7243 *jsec = (double) timegm(&t1) - (double) timegm(&t0) + remain;
7244}

◆ timer_group()

void timer_group ( const char *  name,
const char *  group,
int  output 
)

Aggregate wall-clock timings for named code phases.

Tracks elapsed time for the currently active timer and accumulates it both per timer name and per timer group. Calling the function with output set to a non-zero value prints the current timing summary including total time, minimum, mean, standard deviation, maximum, and sample count for each timer.

Parameters
[in]nameName of the next timer to activate.
[in]groupGroup name of the next timer to activate.
[in]outputIf non-zero, print the accumulated timing summary.
Note
Intended for coarse profiling; this interface is not thread-safe.

Definition at line 7248 of file jurassic.c.

7251 {
7252
7253 static char names[NTIMER][100], groups[NTIMER][100];
7254 static double rt_name[NTIMER], rt_group[NTIMER], rt_min[NTIMER],
7255 rt_max[NTIMER], rt_sq[NTIMER], t0, t1;
7256 static int ct_name[NTIMER], iname = -1, igroup = -1, nname, ngroup;
7257
7258 /* Get time... */
7259 t1 = omp_get_wtime();
7260 const double dt = t1 - t0;
7261
7262 /* Accumulate runtime for current timer... */
7263 if (iname >= 0) {
7264 rt_name[iname] += dt;
7265 rt_sq[iname] += POW2(dt);
7266 rt_min[iname] = (ct_name[iname] <= 0 ? dt : MIN(rt_min[iname], dt));
7267 rt_max[iname] = (ct_name[iname] <= 0 ? dt : MAX(rt_max[iname], dt));
7268 ct_name[iname]++;
7269 }
7270 if (igroup >= 0)
7271 rt_group[igroup] += dt;
7272
7273 /* Write summary... */
7274 if (output) {
7275 for (int i = 0; i < nname; i++) {
7276 const double mean = rt_name[i] / ct_name[i];
7277 const double variance = MAX(0.0, rt_sq[i] / ct_name[i] - POW2(mean));
7278 LOG(1,
7279 "TIMER_%s = %.3f s (min= %g s, mean= %g s, stddev= %g s, max= %g s, n= %d)",
7280 names[i], rt_name[i], rt_min[i], mean, sqrt(variance), rt_max[i],
7281 ct_name[i]);
7282 }
7283 for (int i = 0; i < ngroup; i++)
7284 LOG(1, "TIMER_GROUP_%s = %.3f s", groups[i], rt_group[i]);
7285 double total = 0.0;
7286 for (int i = 0; i < nname; i++)
7287 total += rt_name[i];
7288 LOG(1, "TIMER_TOTAL = %.3f s", total);
7289 }
7290
7291 /* Identify next timer name... */
7292 for (iname = 0; iname < nname; iname++)
7293 if (strcasecmp(name, names[iname]) == 0)
7294 break;
7295 for (igroup = 0; igroup < ngroup; igroup++)
7296 if (strcasecmp(group, groups[igroup]) == 0)
7297 break;
7298
7299 /* Add new timer name if needed... */
7300 if (iname >= nname) {
7301 sprintf(names[iname], "%s", name);
7302 if ((++nname) >= NTIMER)
7303 ERRMSG("Too many timers!");
7304 }
7305
7306 /* Add new timer group if needed... */
7307 if (igroup >= ngroup) {
7308 sprintf(groups[igroup], "%s", group);
7309 if ((++ngroup) >= NTIMER)
7310 ERRMSG("Too many groups!");
7311 }
7312
7313 /* Save time stamp for next phase... */
7314 t0 = t1;
7315}
#define NTIMER
Maximum number of aggregated timers.
Definition: jurassic.h:333

◆ write_atm()

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

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.
profileZero-based profile index for netCDF output. Ignored for ASCII and binary formats.
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 7319 of file jurassic.c.

7324 {
7325
7326 /* Set filename... */
7327 char file[LEN];
7328 if (dirname != NULL)
7329 sprintf(file, "%s/%s", dirname, filename);
7330 else
7331 sprintf(file, "%s", filename);
7332
7333 /* Write info... */
7334 LOG(1, "Write atmospheric data: %s", file);
7335
7336 /* Write ASCII data... */
7337 if (ctl->atmfmt == 1)
7338 write_atm_asc(file, ctl, atm);
7339
7340 /* Write binary data... */
7341 else if (ctl->atmfmt == 2)
7342 write_atm_bin(file, ctl, atm);
7343
7344 /* Write netCDF data... */
7345 else if (ctl->atmfmt == 3)
7346 write_atm_nc(file, ctl, atm, profile);
7347
7348 /* Error... */
7349 else
7350 ERRMSG("Unknown file format, check ATMFMT!");
7351
7352 /* Write info... */
7353 double mini, maxi;
7354 LOG(2, "Number of data points: %d", atm->np);
7355 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
7356 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
7357 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
7358 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
7359 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
7360 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
7361 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
7362 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
7363 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
7364 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
7365 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
7366 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
7367 for (int ig = 0; ig < ctl->ng; ig++) {
7368 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
7369 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
7370 }
7371 for (int iw = 0; iw < ctl->nw; iw++) {
7372 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
7373 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
7374 }
7375 if (ctl->ncl > 0) {
7376 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
7377 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
7378 } else
7379 LOG(2, "Cloud layer: none");
7380 if (ctl->nsf > 0) {
7381 LOG(2,
7382 "Surface: T_s = %g K | eps= %g ... %g",
7383 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
7384 } else
7385 LOG(2, "Surface: none");
7386}
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:7541
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:7390
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:7457
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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 7390 of file jurassic.c.

7393 {
7394
7395 int n = 6;
7396
7397 /* Create file... */
7398 FILE *out;
7399 if (!(out = fopen(filename, "w")))
7400 ERRMSG("Cannot create file!");
7401
7402 /* Write header... */
7403 fprintf(out,
7404 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
7405 "# $2 = altitude [km]\n"
7406 "# $3 = longitude [deg]\n"
7407 "# $4 = latitude [deg]\n"
7408 "# $5 = pressure [hPa]\n" "# $6 = temperature [K]\n");
7409 for (int ig = 0; ig < ctl->ng; ig++)
7410 fprintf(out, "# $%d = %s volume mixing ratio [ppv]\n",
7411 ++n, ctl->emitter[ig]);
7412 for (int iw = 0; iw < ctl->nw; iw++)
7413 fprintf(out, "# $%d = extinction (window %d) [km^-1]\n", ++n, iw);
7414 if (ctl->ncl > 0) {
7415 fprintf(out, "# $%d = cloud layer height [km]\n", ++n);
7416 fprintf(out, "# $%d = cloud layer depth [km]\n", ++n);
7417 for (int icl = 0; icl < ctl->ncl; icl++)
7418 fprintf(out, "# $%d = cloud layer extinction (%.4f cm^-1) [km^-1]\n",
7419 ++n, ctl->clnu[icl]);
7420 }
7421 if (ctl->nsf > 0) {
7422 fprintf(out, "# $%d = surface temperature [K]\n", ++n);
7423 for (int isf = 0; isf < ctl->nsf; isf++)
7424 fprintf(out, "# $%d = surface emissivity (%.4f cm^-1)\n",
7425 ++n, ctl->sfnu[isf]);
7426 }
7427
7428 /* Write data... */
7429 for (int ip = 0; ip < atm->np; ip++) {
7430 if (ip == 0 || atm->time[ip] != atm->time[ip - 1])
7431 fprintf(out, "\n");
7432 fprintf(out, "%.2f %g %g %g %g %g", atm->time[ip], atm->z[ip],
7433 atm->lon[ip], atm->lat[ip], atm->p[ip], atm->t[ip]);
7434 for (int ig = 0; ig < ctl->ng; ig++)
7435 fprintf(out, " %g", atm->q[ig][ip]);
7436 for (int iw = 0; iw < ctl->nw; iw++)
7437 fprintf(out, " %g", atm->k[iw][ip]);
7438 if (ctl->ncl > 0) {
7439 fprintf(out, " %g %g", atm->clz, atm->cldz);
7440 for (int icl = 0; icl < ctl->ncl; icl++)
7441 fprintf(out, " %g", atm->clk[icl]);
7442 }
7443 if (ctl->nsf > 0) {
7444 fprintf(out, " %g", atm->sft);
7445 for (int isf = 0; isf < ctl->nsf; isf++)
7446 fprintf(out, " %g", atm->sfeps[isf]);
7447 }
7448 fprintf(out, "\n");
7449 }
7450
7451 /* Close file... */
7452 fclose(out);
7453}

◆ 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 7457 of file jurassic.c.

7460 {
7461
7462 /* Create file... */
7463 FILE *out;
7464 if (!(out = fopen(filename, "w")))
7465 ERRMSG("Cannot create file!");
7466
7467 /* Write header... */
7468 FWRITE("ATM1", char,
7469 4,
7470 out);
7471 FWRITE(&ctl->ng, int,
7472 1,
7473 out);
7474 FWRITE(&ctl->nw, int,
7475 1,
7476 out);
7477 FWRITE(&ctl->ncl, int,
7478 1,
7479 out);
7480 FWRITE(&ctl->nsf, int,
7481 1,
7482 out);
7483
7484 /* Write data... */
7485 size_t np = (size_t) atm->np;
7486 FWRITE(&np, size_t,
7487 1,
7488 out);
7489 FWRITE(atm->time, double,
7490 np,
7491 out);
7492 FWRITE(atm->z, double,
7493 np,
7494 out);
7495 FWRITE(atm->lon, double,
7496 np,
7497 out);
7498 FWRITE(atm->lat, double,
7499 np,
7500 out);
7501 FWRITE(atm->p, double,
7502 np,
7503 out);
7504 FWRITE(atm->t, double,
7505 np,
7506 out);
7507 for (int ig = 0; ig < ctl->ng; ig++)
7508 FWRITE(atm->q[ig], double,
7509 np,
7510 out);
7511 for (int iw = 0; iw < ctl->nw; iw++)
7512 FWRITE(atm->k[iw], double,
7513 np,
7514 out);
7515 if (ctl->ncl > 0) {
7516 FWRITE(&atm->clz, double,
7517 1,
7518 out);
7519 FWRITE(&atm->cldz, double,
7520 1,
7521 out);
7522 FWRITE(atm->clk, double,
7523 (size_t) ctl->ncl,
7524 out);
7525 }
7526 if (ctl->nsf > 0) {
7527 FWRITE(&atm->sft, double,
7528 1,
7529 out);
7530 FWRITE(atm->sfeps, double,
7531 (size_t) ctl->nsf,
7532 out);
7533 }
7534
7535 /* Close file... */
7536 fclose(out);
7537}
#define FWRITE(ptr, type, size, out)
Write binary data to a file.
Definition: jurassic.h:601

◆ 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, provided they fit the file's fixed level dimension.

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_%.4f(profile)
  • Surface (1-D, optional if ctl->nsf>0): srf_t, srf_eps_%.4f(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). The file uses one shared fixed level dimension for all profiles, so any later profile must satisfy atm->np <= level. (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 7541 of file jurassic.c.

7545 {
7546
7547 char longname[LEN], varname[LEN];
7548
7549 int ncid, varid, dim_profile, dim_level;
7550
7551 size_t level_max;
7552
7553 /* Check number of levels... */
7554 if (atm->np < 1 || atm->np > NP)
7555 ERRMSG("Number of levels out of range!");
7556
7557 /* Open or create file... */
7558 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
7559 NC(nc_create(filename, NC_NETCDF4, &ncid));
7560
7561 /* Enter define mode... */
7562 int r = nc_redef(ncid);
7563 if (r != NC_NOERR && r != NC_EINDEFINE)
7564 NC(r);
7565
7566 /* Define profile dimension (unlimited)... */
7567 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
7568 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
7569
7570 /* Define level dimension (fixed)... */
7571 if (nc_inq_dimid(ncid, "level", &dim_level) == NC_NOERR) {
7572 NC(nc_inq_dimlen(ncid, dim_level, &level_max));
7573 if (level_max < 1 || level_max > (size_t) NP)
7574 ERRMSG("netCDF dimension level is out of range!");
7575 if ((size_t) atm->np > level_max)
7576 ERRMSG("profile has too many levels!");
7577 } else {
7578 level_max = (size_t) atm->np;
7579 NC(nc_def_dim(ncid, "level", level_max, &dim_level));
7580 }
7581
7582 /* Set dimension IDs... */
7583 int dimids[2] = { dim_profile, dim_level };
7584
7585 /* Tunables for compression/quantization... */
7586 const int deflate_level = 0;
7587 const int quant_digits = 0;
7588
7589 /* Define nlev (1D)... */
7590 if (nc_inq_varid(ncid, "nlev", &varid) != NC_NOERR)
7591 NC_DEF_VAR("nlev", NC_INT, 1, dimids,
7592 "number of vertical levels", "1", 0, 0);
7593
7594 /* Define core variables (2D)... */
7595 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
7596 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
7597 "time in seconds since 2000-01-01, 00:00 UTC", "s",
7598 deflate_level, 0);
7599
7600 if (nc_inq_varid(ncid, "z", &varid) != NC_NOERR)
7601 NC_DEF_VAR("z", NC_DOUBLE, 2, dimids, "altitude", "km", deflate_level, 0);
7602
7603 if (nc_inq_varid(ncid, "lon", &varid) != NC_NOERR)
7604 NC_DEF_VAR("lon", NC_DOUBLE, 2, dimids,
7605 "longitude", "degrees_east", deflate_level, 0);
7606
7607 if (nc_inq_varid(ncid, "lat", &varid) != NC_NOERR)
7608 NC_DEF_VAR("lat", NC_DOUBLE, 2, dimids,
7609 "latitude", "degrees_north", deflate_level, 0);
7610
7611 if (nc_inq_varid(ncid, "p", &varid) != NC_NOERR)
7612 NC_DEF_VAR("p", NC_DOUBLE, 2, dimids,
7613 "pressure", "hPa", deflate_level, quant_digits);
7614
7615 if (nc_inq_varid(ncid, "t", &varid) != NC_NOERR)
7616 NC_DEF_VAR("t", NC_DOUBLE, 2, dimids,
7617 "temperature", "K", deflate_level, quant_digits);
7618
7619 /* Write emitters (2D)... */
7620 for (int ig = 0; ig < ctl->ng; ig++)
7621 if (nc_inq_varid(ncid, ctl->emitter[ig], &varid) != NC_NOERR) {
7622 sprintf(longname, "%s volume mixing ratio", ctl->emitter[ig]);
7623 NC_DEF_VAR(ctl->emitter[ig], NC_DOUBLE, 2, dimids,
7624 longname, "ppv", deflate_level, quant_digits);
7625 }
7626
7627 /* Write extinction (2D)... */
7628 for (int iw = 0; iw < ctl->nw; iw++) {
7629 sprintf(varname, "ext_win_%d", iw);
7630 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7631 sprintf(longname, "extinction (window %d)", iw);
7632 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids,
7633 longname, "km**-1", deflate_level, quant_digits);
7634 }
7635 }
7636
7637 /* Write cloud variables (1D)... */
7638 if (ctl->ncl > 0) {
7639 if (nc_inq_varid(ncid, "cld_z", &varid) != NC_NOERR)
7640 NC_DEF_VAR("cld_z", NC_DOUBLE, 1, dimids,
7641 "cloud layer height", "km", deflate_level, quant_digits);
7642
7643 if (nc_inq_varid(ncid, "cld_dz", &varid) != NC_NOERR)
7644 NC_DEF_VAR("cld_dz", NC_DOUBLE, 1, dimids,
7645 "cloud layer depth", "km", deflate_level, quant_digits);
7646
7647 for (int icl = 0; icl < ctl->ncl; icl++) {
7648 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7649 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7650 sprintf(longname, "cloud layer extinction (%.4f cm^-1)",
7651 ctl->clnu[icl]);
7652 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "km**-1",
7653 deflate_level, quant_digits);
7654 }
7655 }
7656 }
7657
7658 /* Write surface variables (1D)... */
7659 if (ctl->nsf > 0) {
7660 if (nc_inq_varid(ncid, "srf_t", &varid) != NC_NOERR)
7661 NC_DEF_VAR("srf_t", NC_DOUBLE, 1, dimids,
7662 "surface temperature", "K", deflate_level, quant_digits);
7663
7664 for (int isf = 0; isf < ctl->nsf; isf++) {
7665 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7666 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7667 sprintf(longname, "surface emissivity (%.4f cm^-1)", ctl->sfnu[isf]);
7668 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "1",
7669 deflate_level, quant_digits);
7670 }
7671 }
7672 }
7673
7674 /* Leave define mode... */
7675 NC(nc_enddef(ncid));
7676
7677 /* Define hyperslabs... */
7678 size_t start[2] = { (size_t) profile, 0 };
7679 size_t count[2] = { 1, (size_t) atm->np };
7680
7681 /* Write nlev... */
7682 NC_PUT_INT("nlev", &atm->np, 1);
7683
7684 /* Write core variables... */
7685 NC_PUT_DOUBLE("time", atm->time, 1);
7686 NC_PUT_DOUBLE("z", atm->z, 1);
7687 NC_PUT_DOUBLE("lon", atm->lon, 1);
7688 NC_PUT_DOUBLE("lat", atm->lat, 1);
7689 NC_PUT_DOUBLE("p", atm->p, 1);
7690 NC_PUT_DOUBLE("t", atm->t, 1);
7691
7692 /* Write emitters... */
7693 for (int ig = 0; ig < ctl->ng; ig++)
7694 NC_PUT_DOUBLE(ctl->emitter[ig], atm->q[ig], 1);
7695
7696 /* Write extinction... */
7697 for (int iw = 0; iw < ctl->nw; iw++) {
7698 sprintf(varname, "ext_win_%d", iw);
7699 NC_PUT_DOUBLE(varname, atm->k[iw], 1);
7700 }
7701
7702 /* Write cloud variables... */
7703 if (ctl->ncl > 0) {
7704 NC_PUT_DOUBLE("cld_z", &atm->clz, 1);
7705 NC_PUT_DOUBLE("cld_dz", &atm->cldz, 1);
7706 for (int icl = 0; icl < ctl->ncl; icl++) {
7707 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7708 NC_PUT_DOUBLE(varname, &atm->clk[icl], 1);
7709 }
7710 }
7711
7712 /* Write surface variables... */
7713 if (ctl->nsf > 0) {
7714 NC_PUT_DOUBLE("srf_t", &atm->sft, 1);
7715 for (int isf = 0; isf < ctl->nsf; isf++) {
7716 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7717 NC_PUT_DOUBLE(varname, &atm->sfeps[isf], 1);
7718 }
7719 }
7720
7721 /* Close file... */
7722 NC(nc_sync(ncid));
7723 NC(nc_close(ncid));
7724}
#define NC_PUT_INT(varname, ptr, hyperslab)
Write integer data to a NetCDF variable.
Definition: jurassic.h:879
#define NC_DEF_VAR(varname, type, ndims, dims, long_name, units, level, quant)
Define a NetCDF variable with attributes.
Definition: jurassic.h:727
#define NC_PUT_DOUBLE(varname, ptr, hyperslab)
Write double precision data to a NetCDF variable.
Definition: jurassic.h:832

◆ 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 7728 of file jurassic.c.

7731 {
7732
7733 /* Write info... */
7734 LOG(1, "Write RFM data: %s", filename);
7735
7736 /* Create file... */
7737 FILE *out;
7738 if (!(out = fopen(filename, "w")))
7739 ERRMSG("Cannot create file!");
7740
7741 /* Write data... */
7742 fprintf(out, "%d\n", atm->np);
7743 fprintf(out, "*HGT [km]\n");
7744 for (int ip = 0; ip < atm->np; ip++)
7745 fprintf(out, "%g\n", atm->z[ip]);
7746 fprintf(out, "*PRE [mb]\n");
7747 for (int ip = 0; ip < atm->np; ip++)
7748 fprintf(out, "%g\n", atm->p[ip]);
7749 fprintf(out, "*TEM [K]\n");
7750 for (int ip = 0; ip < atm->np; ip++)
7751 fprintf(out, "%g\n", atm->t[ip]);
7752 for (int ig = 0; ig < ctl->ng; ig++) {
7753 fprintf(out, "*%s [ppmv]\n", ctl->emitter[ig]);
7754 for (int ip = 0; ip < atm->np; ip++)
7755 fprintf(out, "%g\n", atm->q[ig][ip] * 1e6);
7756 }
7757 fprintf(out, "*END\n");
7758
7759 /* Close file... */
7760 fclose(out);
7761}

◆ 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,
int  dataset 
)

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

Dispatches matrix output according to the configured matrix file format. Supported formats are ASCII (MATRIXFMT=1), binary (MATRIXFMT=2), and netCDF (MATRIXFMT=3).

Parameters
[in]dirnameOutput directory path. If NULL, only filename is used.
[in]filenameOutput matrix file name.
[in]ctlControl structure defining output format and metadata interpretation.
[in]matrixMatrix to be written.
[in]atmAtmospheric reference state used for state-space metadata.
[in]obsObservation reference state used for measurement-space metadata.
[in]rowspaceRow-space selector passed to the backend writer.
[in]colspaceColumn-space selector passed to the backend writer.
[in]sortSort-order selector passed to the backend writer.
[in]datasetZero-based dataset index for netCDF output. Ignored for ASCII and binary formats.
See also
write_matrix_asc(), write_matrix_bin(), write_matrix_nc()
Author
Lars Hoffmann

Definition at line 7765 of file jurassic.c.

7775 {
7776
7777 /* Check output flag... */
7778 if (!ctl->write_matrix)
7779 return;
7780
7781 /* Write ASCII data... */
7782 if (ctl->matrixfmt == 1)
7783 write_matrix_asc(dirname, filename, ctl, matrix, atm, obs,
7784 rowspace, colspace, sort);
7785
7786 /* Write binary data... */
7787 else if (ctl->matrixfmt == 2)
7788 write_matrix_bin(dirname, filename, matrix);
7789
7790 /* Write netCDF data... */
7791 else if (ctl->matrixfmt == 3)
7792 write_matrix_nc(dirname, filename, ctl, matrix, atm, obs,
7793 rowspace, colspace, sort, dataset);
7794
7795 /* Error... */
7796 else
7797 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
7798}
void write_matrix_asc(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 an ASCII file.
Definition: jurassic.c:7802
void write_matrix_nc(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, int dataset)
Write a numerical matrix to a netCDF file.
Definition: jurassic.c:8024
void write_matrix_bin(const char *dirname, const char *filename, const gsl_matrix *matrix)
Write a numerical matrix to a binary file.
Definition: jurassic.c:7975
Here is the call graph for this function:

◆ write_matrix_asc()

void write_matrix_asc ( 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 an ASCII 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 7802 of file jurassic.c.

7811 {
7812
7813 char file[LEN], quantity[LEN];
7814
7815 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
7816
7817 size_t i, j, nc, nr;
7818
7819 /* Allocate... */
7820 ALLOC(cida, int,
7821 M);
7822 ALLOC(ciqa, int,
7823 N);
7824 ALLOC(cipa, int,
7825 N);
7826 ALLOC(cira, int,
7827 M);
7828 ALLOC(rida, int,
7829 M);
7830 ALLOC(riqa, int,
7831 N);
7832 ALLOC(ripa, int,
7833 N);
7834 ALLOC(rira, int,
7835 M);
7836
7837 /* Set filename... */
7838 if (dirname != NULL)
7839 sprintf(file, "%s/%s", dirname, filename);
7840 else
7841 sprintf(file, "%s", filename);
7842
7843 /* Write info... */
7844 LOG(1, "Write matrix: %s", file);
7845
7846 /* Create file... */
7847 FILE *out;
7848 if (!(out = fopen(file, "w")))
7849 ERRMSG("Cannot create file!");
7850
7851 /* Write header (row space)... */
7852 if (rowspace[0] == 'y') {
7853
7854 fprintf(out,
7855 "# $1 = Row: index (measurement space)\n"
7856 "# $2 = Row: channel wavenumber [cm^-1]\n"
7857 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7858 "# $4 = Row: view point altitude [km]\n"
7859 "# $5 = Row: view point longitude [deg]\n"
7860 "# $6 = Row: view point latitude [deg]\n");
7861
7862 /* Get number of rows... */
7863 nr = obs2y(ctl, obs, NULL, rida, rira);
7864
7865 } else {
7866
7867 fprintf(out,
7868 "# $1 = Row: index (state space)\n"
7869 "# $2 = Row: name of quantity\n"
7870 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7871 "# $4 = Row: altitude [km]\n"
7872 "# $5 = Row: longitude [deg]\n" "# $6 = Row: latitude [deg]\n");
7873
7874 /* Get number of rows... */
7875 nr = atm2x(ctl, atm, NULL, riqa, ripa);
7876 }
7877
7878 /* Write header (column space)... */
7879 if (colspace[0] == 'y') {
7880
7881 fprintf(out,
7882 "# $7 = Col: index (measurement space)\n"
7883 "# $8 = Col: channel wavenumber [cm^-1]\n"
7884 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7885 "# $10 = Col: view point altitude [km]\n"
7886 "# $11 = Col: view point longitude [deg]\n"
7887 "# $12 = Col: view point latitude [deg]\n");
7888
7889 /* Get number of columns... */
7890 nc = obs2y(ctl, obs, NULL, cida, cira);
7891
7892 } else {
7893
7894 fprintf(out,
7895 "# $7 = Col: index (state space)\n"
7896 "# $8 = Col: name of quantity\n"
7897 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7898 "# $10 = Col: altitude [km]\n"
7899 "# $11 = Col: longitude [deg]\n" "# $12 = Col: latitude [deg]\n");
7900
7901 /* Get number of columns... */
7902 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
7903 }
7904
7905 /* Write header entry... */
7906 fprintf(out, "# $13 = Matrix element\n\n");
7907
7908 /* Write matrix data... */
7909 i = j = 0;
7910 while (i < nr && j < nc) {
7911
7912 /* Write info about the row... */
7913 if (rowspace[0] == 'y')
7914 fprintf(out, "%d %.4f %.2f %g %g %g",
7915 (int) i, ctl->nu[rida[i]],
7916 obs->time[rira[i]], obs->vpz[rira[i]],
7917 obs->vplon[rira[i]], obs->vplat[rira[i]]);
7918 else {
7919 idx2name(ctl, riqa[i], quantity);
7920 fprintf(out, "%d %s %.2f %g %g %g", (int) i, quantity,
7921 atm->time[ripa[i]], atm->z[ripa[i]],
7922 atm->lon[ripa[i]], atm->lat[ripa[i]]);
7923 }
7924
7925 /* Write info about the column... */
7926 if (colspace[0] == 'y')
7927 fprintf(out, " %d %.4f %.2f %g %g %g",
7928 (int) j, ctl->nu[cida[j]],
7929 obs->time[cira[j]], obs->vpz[cira[j]],
7930 obs->vplon[cira[j]], obs->vplat[cira[j]]);
7931 else {
7932 idx2name(ctl, ciqa[j], quantity);
7933 fprintf(out, " %d %s %.2f %g %g %g", (int) j, quantity,
7934 atm->time[cipa[j]], atm->z[cipa[j]],
7935 atm->lon[cipa[j]], atm->lat[cipa[j]]);
7936 }
7937
7938 /* Write matrix entry... */
7939 fprintf(out, " %g\n", gsl_matrix_get(matrix, i, j));
7940
7941 /* Set matrix indices... */
7942 if (sort[0] == 'r') {
7943 j++;
7944 if (j >= nc) {
7945 j = 0;
7946 i++;
7947 fprintf(out, "\n");
7948 }
7949 } else {
7950 i++;
7951 if (i >= nr) {
7952 i = 0;
7953 j++;
7954 fprintf(out, "\n");
7955 }
7956 }
7957 }
7958
7959 /* Close file... */
7960 fclose(out);
7961
7962 /* Free... */
7963 free(cida);
7964 free(ciqa);
7965 free(cipa);
7966 free(cira);
7967 free(rida);
7968 free(riqa);
7969 free(ripa);
7970 free(rira);
7971}
void idx2name(const ctl_t *ctl, const int idx, char *quantity)
Convert a quantity index to a descriptive name string.
Definition: jurassic.c:3964
#define M
Maximum size of measurement vector.
Definition: jurassic.h:273
Here is the call graph for this function:

◆ write_matrix_bin()

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

Write a numerical matrix to a binary file.

Stores a compact binary representation consisting of a magic identifier, matrix dimensions, and all matrix elements in row-major order. Unlike the ASCII format, this binary format does not include annotated row/column metadata.

Parameters
[in]dirnameOutput directory path (may be NULL).
[in]filenameOutput file name.
[in]matrixPointer to GSL matrix to write.
Author
Lars Hoffmann

Definition at line 7975 of file jurassic.c.

7978 {
7979
7980 char file[LEN];
7981 const size_t nr = matrix->size1;
7982 const size_t nc = matrix->size2;
7983
7984 /* Set filename... */
7985 if (dirname != NULL)
7986 sprintf(file, "%s/%s", dirname, filename);
7987 else
7988 sprintf(file, "%s", filename);
7989
7990 /* Write info... */
7991 LOG(1, "Write matrix: %s", file);
7992
7993 /* Create file... */
7994 FILE *out;
7995 if (!(out = fopen(file, "w")))
7996 ERRMSG("Cannot create file!");
7997
7998 /* Write header... */
7999 FWRITE("MAT1", char,
8000 4,
8001 out);
8002 FWRITE(&nr, size_t,
8003 1,
8004 out);
8005 FWRITE(&nc, size_t,
8006 1,
8007 out);
8008
8009 /* Write data... */
8010 for (size_t i = 0; i < nr; i++)
8011 for (size_t j = 0; j < nc; j++) {
8012 double value = gsl_matrix_get(matrix, i, j);
8013 FWRITE(&value, double,
8014 1,
8015 out);
8016 }
8017
8018 /* Close file... */
8019 fclose(out);
8020}

◆ write_matrix_nc()

void write_matrix_nc ( 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,
int  dataset 
)

Write a numerical matrix to a netCDF file.

Stores one matrix record in a netCDF file using an unlimited dimension dataset, fixed dimensions row and col, and a variable matrix(dataset,row,col). The file also records the row space, column space, and sort order in per-dataset auxiliary variables. Per-row and per-column metadata are stored in auxiliary variables row_nu, row_time, row_z, row_lon, row_lat, row_quantity, col_nu, col_time, col_z, col_lon, col_lat, and col_quantity. Quantity-name strings use the fixed netCDF dimension name_strlen = 100.

Parameters
[in]dirnameOutput directory path (may be NULL).
[in]filenameOutput file name.
[in]ctlPointer to control structure.
[in]matrixPointer to GSL matrix to write.
[in]atmPointer to atmospheric data structure.
[in]obsPointer to observation data structure.
[in]rowspaceRow-space selector to store as metadata.
[in]colspaceColumn-space selector to store as metadata.
[in]sortSort-order selector to store as metadata.
[in]datasetZero-based index along the unlimited dataset dimension.
Author
Lars Hoffmann

Definition at line 8024 of file jurassic.c.

8034 {
8035
8036 char file[LEN];
8037 char quantity[LEN];
8038 const size_t name_strlen = 100;
8039
8040 int ncid, dimid_dataset, dimid_row, dimid_col, dimid_name, varid;
8041 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
8042
8043 size_t nr = matrix->size1, nc = matrix->size2, naux;
8044
8045 /* Allocate metadata index arrays... */
8046 ALLOC(cida, int,
8047 M);
8048 ALLOC(ciqa, int,
8049 N);
8050 ALLOC(cipa, int,
8051 N);
8052 ALLOC(cira, int,
8053 M);
8054 ALLOC(rida, int,
8055 M);
8056 ALLOC(riqa, int,
8057 N);
8058 ALLOC(ripa, int,
8059 N);
8060 ALLOC(rira, int,
8061 M);
8062
8063 /* Set filename... */
8064 if (dirname != NULL)
8065 sprintf(file, "%s/%s", dirname, filename);
8066 else
8067 sprintf(file, "%s", filename);
8068
8069 /* Write info... */
8070 LOG(1, "Write matrix: %s", file);
8071
8072 /* Open or create file... */
8073 if (nc_open(file, NC_WRITE, &ncid) != NC_NOERR)
8074 NC(nc_create(file, NC_NETCDF4, &ncid));
8075
8076 /* Enter define mode... */
8077 int r = nc_redef(ncid);
8078 if (r != NC_NOERR && r != NC_EINDEFINE)
8079 NC(r);
8080
8081 /* Define dataset dimension (unlimited)... */
8082 if (nc_inq_dimid(ncid, "dataset", &dimid_dataset) != NC_NOERR)
8083 NC(nc_def_dim(ncid, "dataset", NC_UNLIMITED, &dimid_dataset));
8084
8085 /* Define row dimension (fixed)... */
8086 if (nc_inq_dimid(ncid, "row", &dimid_row) == NC_NOERR) {
8087 NC(nc_inq_dimlen(ncid, dimid_row, &naux));
8088 if (naux != nr)
8089 ERRMSG("matrix row dimension is incompatible!");
8090 } else
8091 NC(nc_def_dim(ncid, "row", nr, &dimid_row));
8092
8093 /* Define col dimension (fixed)... */
8094 if (nc_inq_dimid(ncid, "col", &dimid_col) == NC_NOERR) {
8095 NC(nc_inq_dimlen(ncid, dimid_col, &naux));
8096 if (naux != nc)
8097 ERRMSG("matrix col dimension is incompatible!");
8098 } else
8099 NC(nc_def_dim(ncid, "col", nc, &dimid_col));
8100
8101 /* Define fixed-length name dimension... */
8102 if (nc_inq_dimid(ncid, "name_strlen", &dimid_name) == NC_NOERR) {
8103 NC(nc_inq_dimlen(ncid, dimid_name, &naux));
8104 if (naux != name_strlen)
8105 ERRMSG("matrix name_strlen dimension is incompatible!");
8106 } else
8107 NC(nc_def_dim(ncid, "name_strlen", name_strlen, &dimid_name));
8108
8109 /* Define variables... */
8110 int dimids3[3] = { dimid_dataset, dimid_row, dimid_col };
8111 int dimids1[1] = { dimid_dataset };
8112 int dimids2_row[2] = { dimid_dataset, dimid_row };
8113 int dimids2_col[2] = { dimid_dataset, dimid_col };
8114 int dimids3_rowname[3] = { dimid_dataset, dimid_row, dimid_name };
8115 int dimids3_colname[3] = { dimid_dataset, dimid_col, dimid_name };
8116 if (nc_inq_varid(ncid, "matrix", &varid) != NC_NOERR) {
8117 NC(nc_def_var(ncid, "matrix", NC_DOUBLE, 3, dimids3, &varid));
8118 NC(nc_put_att_text(ncid, varid, "long_name", 14, "matrix element"));
8119 NC(nc_put_att_text(ncid, varid, "units", 1, "1"));
8120 }
8121 if (nc_inq_varid(ncid, "rowspace", &varid) != NC_NOERR)
8122 NC_DEF_VAR("rowspace", NC_CHAR, 1, dimids1,
8123 "row space selector", "1", 0, 0);
8124 if (nc_inq_varid(ncid, "colspace", &varid) != NC_NOERR)
8125 NC_DEF_VAR("colspace", NC_CHAR, 1, dimids1,
8126 "column space selector", "1", 0, 0);
8127 if (nc_inq_varid(ncid, "sort", &varid) != NC_NOERR)
8128 NC_DEF_VAR("sort", NC_CHAR, 1, dimids1,
8129 "matrix sort selector", "1", 0, 0);
8130 if (nc_inq_varid(ncid, "row_nu", &varid) != NC_NOERR)
8131 NC_DEF_VAR("row_nu", NC_DOUBLE, 2, dimids2_row,
8132 "row channel wavenumber", "cm^-1", 0, 0);
8133 if (nc_inq_varid(ncid, "row_time", &varid) != NC_NOERR)
8134 NC_DEF_VAR("row_time", NC_DOUBLE, 2, dimids2_row,
8135 "row time since 2000-01-01T00:00Z", "s", 0, 0);
8136 if (nc_inq_varid(ncid, "row_z", &varid) != NC_NOERR)
8137 NC_DEF_VAR("row_z", NC_DOUBLE, 2, dimids2_row,
8138 "row altitude", "km", 0, 0);
8139 if (nc_inq_varid(ncid, "row_lon", &varid) != NC_NOERR)
8140 NC_DEF_VAR("row_lon", NC_DOUBLE, 2, dimids2_row,
8141 "row longitude", "degrees_east", 0, 0);
8142 if (nc_inq_varid(ncid, "row_lat", &varid) != NC_NOERR)
8143 NC_DEF_VAR("row_lat", NC_DOUBLE, 2, dimids2_row,
8144 "row latitude", "degrees_north", 0, 0);
8145 if (nc_inq_varid(ncid, "row_quantity", &varid) != NC_NOERR)
8146 NC_DEF_VAR("row_quantity", NC_CHAR, 3, dimids3_rowname,
8147 "row state quantity name", "1", 0, 0);
8148 if (nc_inq_varid(ncid, "col_nu", &varid) != NC_NOERR)
8149 NC_DEF_VAR("col_nu", NC_DOUBLE, 2, dimids2_col,
8150 "column channel wavenumber", "cm^-1", 0, 0);
8151 if (nc_inq_varid(ncid, "col_time", &varid) != NC_NOERR)
8152 NC_DEF_VAR("col_time", NC_DOUBLE, 2, dimids2_col,
8153 "column time since 2000-01-01T00:00Z", "s", 0, 0);
8154 if (nc_inq_varid(ncid, "col_z", &varid) != NC_NOERR)
8155 NC_DEF_VAR("col_z", NC_DOUBLE, 2, dimids2_col,
8156 "column altitude", "km", 0, 0);
8157 if (nc_inq_varid(ncid, "col_lon", &varid) != NC_NOERR)
8158 NC_DEF_VAR("col_lon", NC_DOUBLE, 2, dimids2_col,
8159 "column longitude", "degrees_east", 0, 0);
8160 if (nc_inq_varid(ncid, "col_lat", &varid) != NC_NOERR)
8161 NC_DEF_VAR("col_lat", NC_DOUBLE, 2, dimids2_col,
8162 "column latitude", "degrees_north", 0, 0);
8163 if (nc_inq_varid(ncid, "col_quantity", &varid) != NC_NOERR)
8164 NC_DEF_VAR("col_quantity", NC_CHAR, 3, dimids3_colname,
8165 "column state quantity name", "1", 0, 0);
8166
8167 /* Leave define mode... */
8168 NC(nc_enddef(ncid));
8169
8170 /* Write metadata... */
8171 size_t start1[1] = { (size_t) dataset };
8172 size_t count1[1] = { 1 };
8173 NC(nc_inq_varid(ncid, "rowspace", &varid));
8174 NC(nc_put_vara_text(ncid, varid, start1, count1, rowspace));
8175 NC(nc_inq_varid(ncid, "colspace", &varid));
8176 NC(nc_put_vara_text(ncid, varid, start1, count1, colspace));
8177 NC(nc_inq_varid(ncid, "sort", &varid));
8178 NC(nc_put_vara_text(ncid, varid, start1, count1, sort));
8179
8180 /* Set row and column metadata indices... */
8181 if (rowspace[0] == 'y')
8182 nr = obs2y(ctl, obs, NULL, rida, rira);
8183 else
8184 nr = atm2x(ctl, atm, NULL, riqa, ripa);
8185 if (colspace[0] == 'y')
8186 nc = obs2y(ctl, obs, NULL, cida, cira);
8187 else
8188 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
8189
8190 /* Write row metadata... */
8191 for (size_t i = 0; i < nr; i++) {
8192 const double nu = rowspace[0] == 'y' ? ctl->nu[rida[i]] : GSL_NAN;
8193 const double time =
8194 rowspace[0] == 'y' ? obs->time[rira[i]] : atm->time[ripa[i]];
8195 const double z = rowspace[0] == 'y' ? obs->vpz[rira[i]] : atm->z[ripa[i]];
8196 const double lon =
8197 rowspace[0] == 'y' ? obs->vplon[rira[i]] : atm->lon[ripa[i]];
8198 const double lat =
8199 rowspace[0] == 'y' ? obs->vplat[rira[i]] : atm->lat[ripa[i]];
8200 char qbuf[LEN] = { 0 };
8201 size_t start2[2] = { (size_t) dataset, i };
8202 size_t count2[2] = { 1, 1 };
8203 size_t start3n[3] = { (size_t) dataset, i, 0 };
8204 size_t count3n[3] = { 1, 1, name_strlen };
8205
8206 if (rowspace[0] != 'y') {
8207 idx2name(ctl, riqa[i], quantity);
8208 snprintf(qbuf, LEN, "%s", quantity);
8209 }
8210
8211 NC(nc_inq_varid(ncid, "row_nu", &varid));
8212 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8213 NC(nc_inq_varid(ncid, "row_time", &varid));
8214 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8215 NC(nc_inq_varid(ncid, "row_z", &varid));
8216 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8217 NC(nc_inq_varid(ncid, "row_lon", &varid));
8218 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8219 NC(nc_inq_varid(ncid, "row_lat", &varid));
8220 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8221 NC(nc_inq_varid(ncid, "row_quantity", &varid));
8222 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8223 }
8224
8225 /* Write column metadata... */
8226 for (size_t j = 0; j < nc; j++) {
8227 const double nu = colspace[0] == 'y' ? ctl->nu[cida[j]] : GSL_NAN;
8228 const double time =
8229 colspace[0] == 'y' ? obs->time[cira[j]] : atm->time[cipa[j]];
8230 const double z = colspace[0] == 'y' ? obs->vpz[cira[j]] : atm->z[cipa[j]];
8231 const double lon =
8232 colspace[0] == 'y' ? obs->vplon[cira[j]] : atm->lon[cipa[j]];
8233 const double lat =
8234 colspace[0] == 'y' ? obs->vplat[cira[j]] : atm->lat[cipa[j]];
8235 char qbuf[LEN] = { 0 };
8236 size_t start2[2] = { (size_t) dataset, j };
8237 size_t count2[2] = { 1, 1 };
8238 size_t start3n[3] = { (size_t) dataset, j, 0 };
8239 size_t count3n[3] = { 1, 1, name_strlen };
8240
8241 if (colspace[0] != 'y') {
8242 idx2name(ctl, ciqa[j], quantity);
8243 snprintf(qbuf, LEN, "%s", quantity);
8244 }
8245
8246 NC(nc_inq_varid(ncid, "col_nu", &varid));
8247 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8248 NC(nc_inq_varid(ncid, "col_time", &varid));
8249 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8250 NC(nc_inq_varid(ncid, "col_z", &varid));
8251 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8252 NC(nc_inq_varid(ncid, "col_lon", &varid));
8253 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8254 NC(nc_inq_varid(ncid, "col_lat", &varid));
8255 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8256 NC(nc_inq_varid(ncid, "col_quantity", &varid));
8257 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8258 }
8259
8260 /* Write matrix data... */
8261 NC(nc_inq_varid(ncid, "matrix", &varid));
8262 for (size_t i = 0; i < nr; i++)
8263 for (size_t j = 0; j < nc; j++) {
8264 const double value = gsl_matrix_get(matrix, i, j);
8265 size_t start3[3] = { (size_t) dataset, i, j };
8266 size_t count3[3] = { 1, 1, 1 };
8267 NC(nc_put_vara_double(ncid, varid, start3, count3, &value));
8268 }
8269
8270 /* Close file... */
8271 NC(nc_sync(ncid));
8272 NC(nc_close(ncid));
8273
8274 /* Free... */
8275 free(cida);
8276 free(ciqa);
8277 free(cipa);
8278 free(cira);
8279 free(rida);
8280 free(riqa);
8281 free(ripa);
8282 free(rira);
8283}
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◆ write_obs()

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

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, and spectral values stored as radiance or brightness temperature depending on ctl->write_bbt, as well as 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.
[in]profileZero-based profile index for netCDF output. Ignored for ASCII and binary formats.
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 8287 of file jurassic.c.

8292 {
8293
8294 /* Set filename... */
8295 char file[LEN];
8296 if (dirname != NULL)
8297 sprintf(file, "%s/%s", dirname, filename);
8298 else
8299 sprintf(file, "%s", filename);
8300
8301 /* Write info... */
8302 LOG(1, "Write observation data: %s", file);
8303
8304 /* Write ASCII data... */
8305 if (ctl->obsfmt == 1)
8306 write_obs_asc(file, ctl, obs);
8307
8308 /* Write binary data... */
8309 else if (ctl->obsfmt == 2)
8310 write_obs_bin(file, ctl, obs);
8311
8312 /* Write netCDF data... */
8313 else if (ctl->obsfmt == 3)
8314 write_obs_nc(file, ctl, obs, profile);
8315
8316 /* Write info... */
8317 double mini, maxi;
8318 LOG(2, "Number of ray paths: %d", obs->nr);
8319 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
8320 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
8321 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
8322 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
8323 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
8324 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
8325 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
8326 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
8327 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
8328 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
8329 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
8330 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
8331 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
8332 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
8333 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
8334 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
8335 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
8336 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
8337 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
8338 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
8339 for (int id = 0; id < ctl->nd; id++) {
8340 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
8341 if (ctl->write_bbt) {
8342 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
8343 ctl->nu[id], mini, maxi);
8344 } else {
8345 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
8346 ctl->nu[id], mini, maxi);
8347 }
8348 }
8349 for (int id = 0; id < ctl->nd; id++) {
8350 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
8351 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
8352 ctl->nu[id], mini, maxi);
8353 }
8354}
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:8358
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:8482
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:8414
Here is the call graph for this function:

◆ 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 spectral values labeled as radiance or brightness temperature according to ctl->write_bbt, 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 8358 of file jurassic.c.

8361 {
8362
8363 int n = 10;
8364
8365 /* Create file... */
8366 FILE *out;
8367 if (!(out = fopen(filename, "w")))
8368 ERRMSG("Cannot create file!");
8369
8370 /* Write header... */
8371 fprintf(out,
8372 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
8373 "# $2 = observer altitude [km]\n"
8374 "# $3 = observer longitude [deg]\n"
8375 "# $4 = observer latitude [deg]\n"
8376 "# $5 = view point altitude [km]\n"
8377 "# $6 = view point longitude [deg]\n"
8378 "# $7 = view point latitude [deg]\n"
8379 "# $8 = tangent point altitude [km]\n"
8380 "# $9 = tangent point longitude [deg]\n"
8381 "# $10 = tangent point latitude [deg]\n");
8382 for (int id = 0; id < ctl->nd; id++)
8383 if (ctl->write_bbt)
8384 fprintf(out, "# $%d = brightness temperature (%.4f cm^-1) [K]\n",
8385 ++n, ctl->nu[id]);
8386 else
8387 fprintf(out, "# $%d = radiance (%.4f cm^-1) [W/(m^2 sr cm^-1)]\n",
8388 ++n, ctl->nu[id]);
8389 for (int id = 0; id < ctl->nd; id++)
8390 fprintf(out, "# $%d = transmittance (%.4f cm^-1) [-]\n", ++n,
8391 ctl->nu[id]);
8392
8393 /* Write data... */
8394 for (int ir = 0; ir < obs->nr; ir++) {
8395 if (ir == 0 || obs->time[ir] != obs->time[ir - 1])
8396 fprintf(out, "\n");
8397 fprintf(out, "%.2f %g %g %g %g %g %g %g %g %g", obs->time[ir],
8398 obs->obsz[ir], obs->obslon[ir], obs->obslat[ir],
8399 obs->vpz[ir], obs->vplon[ir], obs->vplat[ir],
8400 obs->tpz[ir], obs->tplon[ir], obs->tplat[ir]);
8401 for (int id = 0; id < ctl->nd; id++)
8402 fprintf(out, " %g", obs->rad[id][ir]);
8403 for (int id = 0; id < ctl->nd; id++)
8404 fprintf(out, " %g", obs->tau[id][ir]);
8405 fprintf(out, "\n");
8406 }
8407
8408 /* Close file... */
8409 fclose(out);
8410}

◆ 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, spectral values stored as radiance or brightness temperature depending on ctl->write_bbt, 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 8414 of file jurassic.c.

8417 {
8418
8419 /* Create file... */
8420 FILE *out;
8421 if (!(out = fopen(filename, "w")))
8422 ERRMSG("Cannot create file!");
8423
8424 /* Write header... */
8425 FWRITE("OBS1", char,
8426 4,
8427 out);
8428 FWRITE(&ctl->nd, int,
8429 1,
8430 out);
8431
8432 /* Write data... */
8433 size_t nr = (size_t) obs->nr;
8434 FWRITE(&nr, size_t,
8435 1,
8436 out);
8437 FWRITE(obs->time, double,
8438 nr,
8439 out);
8440 FWRITE(obs->obsz, double,
8441 nr,
8442 out);
8443 FWRITE(obs->obslon, double,
8444 nr,
8445 out);
8446 FWRITE(obs->obslat, double,
8447 nr,
8448 out);
8449 FWRITE(obs->vpz, double,
8450 nr,
8451 out);
8452 FWRITE(obs->vplon, double,
8453 nr,
8454 out);
8455 FWRITE(obs->vplat, double,
8456 nr,
8457 out);
8458 FWRITE(obs->tpz, double,
8459 nr,
8460 out);
8461 FWRITE(obs->tplon, double,
8462 nr,
8463 out);
8464 FWRITE(obs->tplat, double,
8465 nr,
8466 out);
8467 for (int id = 0; id < ctl->nd; id++)
8468 FWRITE(obs->rad[id], double,
8469 nr,
8470 out);
8471 for (int id = 0; id < ctl->nd; id++)
8472 FWRITE(obs->tau[id], double,
8473 nr,
8474 out);
8475
8476 /* Close file... */
8477 fclose(out);
8478}

◆ 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, if ctl->write_bbt == 0)
    • bt_%.4f (brightness temperature, if ctl->write_bbt != 0)
    • tau_%.4f (transmittance) where the formatted frequency corresponds to ctl->nu[id].

Spectral data are written as physical radiance in rad_%.4f variables when ctl->write_bbt == 0, or as brightness temperature in bt_%.4f variables when ctl->write_bbt != 0. 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 8482 of file jurassic.c.

8486 {
8487
8488 char longname[LEN], varname[LEN];
8489 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
8490
8491 int ncid, varid, dim_profile, dim_ray;
8492
8493 size_t ray_max;
8494
8495 /* Check number of rays... */
8496 if (obs->nr < 1 || obs->nr > NR)
8497 ERRMSG("Number of ray paths out of range!");
8498
8499 /* Open or create file... */
8500 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
8501 NC(nc_create(filename, NC_NETCDF4, &ncid));
8502
8503 /* Enter define mode... */
8504 int r = nc_redef(ncid);
8505 if (r != NC_NOERR && r != NC_EINDEFINE)
8506 NC(r);
8507
8508 /* Define profile dimension (unlimited)... */
8509 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
8510 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
8511
8512 /* Define ray dimension (fixed)... */
8513 if (nc_inq_dimid(ncid, "ray", &dim_ray) == NC_NOERR) {
8514 NC(nc_inq_dimlen(ncid, dim_ray, &ray_max));
8515 if (ray_max < 1 || ray_max > (size_t) NR)
8516 ERRMSG("netCDF dimension ray is out of range!");
8517 if ((size_t) obs->nr > ray_max)
8518 ERRMSG("profile has too many rays!");
8519 } else {
8520 ray_max = (size_t) obs->nr;
8521 NC(nc_def_dim(ncid, "ray", ray_max, &dim_ray));
8522 }
8523
8524 /* Dimension ID array... */
8525 int dimids[2] = { dim_profile, dim_ray };
8526
8527 /* Tunables for compression/quantization... */
8528 const int deflate_level = 0;
8529 const int quant_digits = 0;
8530
8531 /* Define nray (1D over profile)... */
8532 if (nc_inq_varid(ncid, "nray", &varid) != NC_NOERR)
8533 NC_DEF_VAR("nray", NC_INT, 1, dimids, "number of ray paths", "1", 0, 0);
8534
8535 /* Define geometry variables (2D over profile, ray)... */
8536 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
8537 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
8538 "time in seconds since 2000-01-01, 00:00 UTC", "s",
8539 deflate_level, 0);
8540
8541 if (nc_inq_varid(ncid, "obs_z", &varid) != NC_NOERR)
8542 NC_DEF_VAR("obs_z", NC_DOUBLE, 2, dimids,
8543 "observer altitude", "km", deflate_level, 0);
8544
8545 if (nc_inq_varid(ncid, "obs_lon", &varid) != NC_NOERR)
8546 NC_DEF_VAR("obs_lon", NC_DOUBLE, 2, dimids,
8547 "observer longitude", "degrees_east", deflate_level, 0);
8548
8549 if (nc_inq_varid(ncid, "obs_lat", &varid) != NC_NOERR)
8550 NC_DEF_VAR("obs_lat", NC_DOUBLE, 2, dimids,
8551 "observer latitude", "degrees_north", deflate_level, 0);
8552
8553 if (nc_inq_varid(ncid, "vp_z", &varid) != NC_NOERR)
8554 NC_DEF_VAR("vp_z", NC_DOUBLE, 2, dimids,
8555 "view point altitude", "km", deflate_level, 0);
8556
8557 if (nc_inq_varid(ncid, "vp_lon", &varid) != NC_NOERR)
8558 NC_DEF_VAR("vp_lon", NC_DOUBLE, 2, dimids,
8559 "view point longitude", "degrees_east", deflate_level, 0);
8560
8561 if (nc_inq_varid(ncid, "vp_lat", &varid) != NC_NOERR)
8562 NC_DEF_VAR("vp_lat", NC_DOUBLE, 2, dimids,
8563 "view point latitude", "degrees_north", deflate_level, 0);
8564
8565 if (nc_inq_varid(ncid, "tp_z", &varid) != NC_NOERR)
8566 NC_DEF_VAR("tp_z", NC_DOUBLE, 2, dimids,
8567 "tangent point altitude", "km", deflate_level, 0);
8568
8569 if (nc_inq_varid(ncid, "tp_lon", &varid) != NC_NOERR)
8570 NC_DEF_VAR("tp_lon", NC_DOUBLE, 2, dimids,
8571 "tangent point longitude", "degrees_east", deflate_level, 0);
8572
8573 if (nc_inq_varid(ncid, "tp_lat", &varid) != NC_NOERR)
8574 NC_DEF_VAR("tp_lat", NC_DOUBLE, 2, dimids,
8575 "tangent point latitude", "degrees_north", deflate_level, 0);
8576
8577 /* Define radiance/transmittance per channel (2D profile,ray)... */
8578 for (int id = 0; id < ctl->nd; id++) {
8579
8580 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8581 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8582 if (ctl->write_bbt) {
8583 sprintf(longname, "brightness temperature (%.4f cm^-1)", ctl->nu[id]);
8584 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "K",
8585 deflate_level, quant_digits);
8586 } else {
8587 sprintf(longname, "radiance (%.4f cm^-1)", ctl->nu[id]);
8588 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname,
8589 "W/(m^2 sr cm^-1)", deflate_level, quant_digits);
8590 }
8591 }
8592
8593 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8594 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8595 sprintf(longname, "transmittance (%.4f cm^-1)", ctl->nu[id]);
8596 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "1",
8597 deflate_level, quant_digits);
8598 }
8599 }
8600
8601 /* Leave define mode... */
8602 NC(nc_enddef(ncid));
8603
8604 /* Hyperslabs... */
8605 size_t start[2] = { (size_t) profile, 0 };
8606 size_t count[2] = { 1, (size_t) obs->nr };
8607
8608 /* Write nray(profile)... */
8609 int nr = obs->nr;
8610 NC(nc_inq_varid(ncid, "nray", &varid));
8611 NC(nc_put_vara_int(ncid, varid, start, count, &nr));
8612
8613 /* Write geometry... */
8614 NC(nc_inq_varid(ncid, "time", &varid));
8615 NC(nc_put_vara_double(ncid, varid, start, count, obs->time));
8616
8617 NC(nc_inq_varid(ncid, "obs_z", &varid));
8618 NC(nc_put_vara_double(ncid, varid, start, count, obs->obsz));
8619
8620 NC(nc_inq_varid(ncid, "obs_lon", &varid));
8621 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslon));
8622
8623 NC(nc_inq_varid(ncid, "obs_lat", &varid));
8624 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslat));
8625
8626 NC(nc_inq_varid(ncid, "vp_z", &varid));
8627 NC(nc_put_vara_double(ncid, varid, start, count, obs->vpz));
8628
8629 NC(nc_inq_varid(ncid, "vp_lon", &varid));
8630 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplon));
8631
8632 NC(nc_inq_varid(ncid, "vp_lat", &varid));
8633 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplat));
8634
8635 NC(nc_inq_varid(ncid, "tp_z", &varid));
8636 NC(nc_put_vara_double(ncid, varid, start, count, obs->tpz));
8637
8638 NC(nc_inq_varid(ncid, "tp_lon", &varid));
8639 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplon));
8640
8641 NC(nc_inq_varid(ncid, "tp_lat", &varid));
8642 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplat));
8643
8644 /* Write spectral variables per channel... */
8645 for (int id = 0; id < ctl->nd; id++) {
8646 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8647 NC(nc_inq_varid(ncid, varname, &varid));
8648 NC(nc_put_vara_double(ncid, varid, start, count, obs->rad[id]));
8649
8650 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8651 NC(nc_inq_varid(ncid, varname, &varid));
8652 NC(nc_put_vara_double(ncid, varid, start, count, obs->tau[id]));
8653 }
8654
8655 /* Close file... */
8656 NC(nc_sync(ncid));
8657 NC(nc_close(ncid));
8658}

◆ 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 8662 of file jurassic.c.

8666 {
8667
8668 /* Write info... */
8669 LOG(1, "Write shape function: %s", filename);
8670
8671 /* Create file... */
8672 FILE *out;
8673 if (!(out = fopen(filename, "w")))
8674 ERRMSG("Cannot create file!");
8675
8676 /* Write header... */
8677 fprintf(out,
8678 "# $1 = shape function x-value [-]\n"
8679 "# $2 = shape function y-value [-]\n\n");
8680
8681 /* Write data... */
8682 for (int i = 0; i < n; i++)
8683 fprintf(out, "%.10g %.10g\n", x[i], y[i]);
8684
8685 /* Close file... */
8686 fclose(out);
8687}

◆ 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 8691 of file jurassic.c.

8696 {
8697
8698 /* Get sizes... */
8699 const size_t n = s->size1;
8700
8701 /* Allocate... */
8702 atm_t *atm_aux;
8703 ALLOC(atm_aux, atm_t, 1);
8704 gsl_vector *x_aux = gsl_vector_alloc(n);
8705
8706 /* Compute standard deviation... */
8707 for (size_t i = 0; i < n; i++)
8708 gsl_vector_set(x_aux, i, sqrt(gsl_matrix_get(s, i, i)));
8709
8710 /* Write to disk... */
8711 char filename[LEN];
8712 const char *dirname;
8713 int profile;
8714 const char *shared_file = "-";
8715 copy_atm(ctl, atm_aux, atm, 1);
8716 x2atm(ctl, x_aux, atm_aux);
8717 if (strcmp(quantity, "total") == 0)
8718 shared_file = ret->shared_io_atm_err_total_file;
8719 else if (strcmp(quantity, "noise") == 0)
8720 shared_file = ret->shared_io_atm_err_noise_file;
8721 else if (strcmp(quantity, "formod") == 0)
8722 shared_file = ret->shared_io_atm_err_formod_file;
8723 sprintf(filename, "atm_err_%s.tab", quantity);
8724 const char *target =
8725 shared_io_output_target(ret, shared_file, filename, &dirname, &profile);
8726 write_atm(dirname, target, ctl, atm_aux, profile);
8727
8728 /* Free... */
8729 gsl_vector_free(x_aux);
8730}
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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 8734 of file jurassic.c.

8736 {
8737
8738 /* Loop over emitters and detectors... */
8739 for (int ig = 0; ig < ctl->ng; ig++)
8740 for (int id = 0; id < ctl->nd; id++) {
8741
8742 /* Skip empty tables... */
8743 if (tbl->np[id][ig] <= 0) {
8744 WARN("Skip writing empty emissivity table: emitter=%s, nu=%.4f",
8745 ctl->emitter[ig], ctl->nu[id]);
8746 continue;
8747 }
8748
8749 /* Write ASCII look-up tables... */
8750 if (ctl->tblfmt == 1)
8751 write_tbl_asc(ctl, tbl, id, ig);
8752
8753 /* Write binary look-up tables... */
8754 else if (ctl->tblfmt == 2)
8755 write_tbl_bin(ctl, tbl, id, ig);
8756
8757 /* Write netCDF look-up tables... */
8758 else if (ctl->tblfmt == 3)
8759 write_tbl_nc(ctl, tbl, id, ig);
8760
8761 /* Write info... */
8762 TBL_LOG(tbl, id, ig);
8763 }
8764
8765 /* Write filter functions... */
8766 if (ctl->tblfmt == 1)
8767 for (int id = 0; id < ctl->nd; id++) {
8768 char filename[2 * LEN];
8769 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
8770 write_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
8771 tbl->filt_n[id]);
8772 }
8773}
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:8777
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:8861
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:8819
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:8662
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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 8777 of file jurassic.c.

8781 {
8782
8783 /* Set filename... */
8784 char filename[2 * LEN];
8785 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
8786 ctl->nu[id], ctl->emitter[ig]);
8787
8788 /* Create file... */
8789 FILE *out;
8790 if (!(out = fopen(filename, "w"))) {
8791 ERRMSG("Cannot create emissivity table: %s", filename);
8792 } else
8793 LOG(1, "Write emissivity table: %s", filename);
8794
8795 /* Write header... */
8796 fprintf(out,
8797 "# $1 = pressure [hPa]\n"
8798 "# $2 = temperature [K]\n"
8799 "# $3 = column density [molecules/cm^2]\n"
8800 "# $4 = emissivity [-]\n");
8801
8802 /* Save table file... */
8803 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
8804 for (int it = 0; it < tbl->nt[id][ig][ip]; it++) {
8805 fprintf(out, "\n");
8806 for (int iu = 0; iu < tbl->nu[id][ig][ip][it]; iu++)
8807 fprintf(out, "%g %g %e %e\n",
8808 tbl->p[id][ig][ip], tbl->t[id][ig][ip][it],
8809 exp(tbl->logu[id][ig][ip][it][iu]),
8810 exp(tbl->logeps[id][ig][ip][it][iu]));
8811 }
8812
8813 /* Close file... */
8814 fclose(out);
8815}

◆ 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 8819 of file jurassic.c.

8823 {
8824
8825 /* Set filename... */
8826 char filename[2 * LEN];
8827 sprintf(filename, "%s_%.4f_%s.bin",
8828 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
8829
8830 /* Create file... */
8831 FILE *out;
8832 if (!(out = fopen(filename, "w"))) {
8833 ERRMSG("Cannot create emissivity table: %s", filename);
8834 } else
8835 LOG(1, "Write emissivity table: %s", filename);
8836
8837 /* Pack... */
8838 size_t used = 0;
8839 const size_t need = tbl_packed_size(tbl, id, ig);
8840 uint8_t *work = NULL;
8841 ALLOC(work, uint8_t, need);
8842 tbl_pack(tbl, id, ig, work, &used);
8843 if (used != need)
8844 ERRMSG("Internal error: packed size mismatch!");
8845
8846 /* Write length and packed blob... */
8847 FWRITE(&used, size_t,
8848 1,
8849 out);
8850 FWRITE(work, uint8_t, used, out);
8851
8852 /* Close file... */
8853 fclose(out);
8854
8855 /* Free... */
8856 free(work);
8857}
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:7053
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:7107
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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 8861 of file jurassic.c.

8865 {
8866
8867 /* Set filename... */
8868 char filename[2 * LEN];
8869 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
8870
8871 /* Open or create file... */
8872 int ncid;
8873 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR) {
8874 if (nc_create(filename, NC_NETCDF4 | NC_CLOBBER, &ncid) != NC_NOERR)
8875 ERRMSG("Cannot open or create emissivity table: %s", filename);
8876 NC_PUT_ATT_GLOBAL("format_version", "1");
8877 NC_PUT_ATT_GLOBAL("emitter", ctl->emitter[ig]);
8878 NC(nc_enddef(ncid));
8879 }
8880
8881 /* Set variable and dimension name... */
8882 char varname[LEN], dimname[LEN];
8883 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
8884 sprintf(dimname, "len_%.4f", ctl->nu[id]);
8885
8886 /* Write info... */
8887 LOG(1, "Write emissivity table: %s in %s", varname, filename);
8888
8889 /* Allocate work space... */
8890 size_t used = 0;
8891 const size_t need = tbl_packed_size(tbl, id, ig);
8892 uint8_t *work = NULL;
8893 ALLOC(work, uint8_t, need);
8894
8895 /* Pack table... */
8896 tbl_pack(tbl, id, ig, work, &used);
8897 if (used != need)
8898 ERRMSG("Internal error: packed size mismatch!");
8899
8900 /* Prevent overwrite... */
8901 int tmp;
8902 if (nc_inq_varid(ncid, varname, &tmp) == NC_NOERR)
8903 ERRMSG("Table already present!");
8904
8905 /* Add dimension and variable... */
8906 int dimid, varid;
8907 NC(nc_redef(ncid));
8908 NC(nc_def_dim(ncid, dimname, used, &dimid));
8909 int dimids[1] = { dimid };
8910 NC_DEF_VAR(varname, NC_UBYTE, 1, dimids,
8911 "Packed lookup table blob", "1", 0, 0);
8912 NC(nc_enddef(ncid));
8913
8914 /* Write data... */
8915 NC(nc_put_var_uchar(ncid, varid, (const unsigned char *) work));
8916
8917 /* Free... */
8918 free(work);
8919
8920 /* Close file... */
8921 NC(nc_close(ncid));
8922}
#define NC_PUT_ATT_GLOBAL(attname, text)
Add a global text attribute to a NetCDF file.
Definition: jurassic.h:918
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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 8926 of file jurassic.c.

8929 {
8930
8931 size_t n = 0;
8932
8933 /* Get pressure... */
8934 for (int ip = 0; ip < atm->np; ip++)
8935 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
8936 x2atm_help(&atm->p[ip], x, &n);
8937
8938 /* Get temperature... */
8939 for (int ip = 0; ip < atm->np; ip++)
8940 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
8941 x2atm_help(&atm->t[ip], x, &n);
8942
8943 /* Get volume mixing ratio... */
8944 for (int ig = 0; ig < ctl->ng; ig++)
8945 for (int ip = 0; ip < atm->np; ip++)
8946 if (atm->z[ip] >= ctl->retq_zmin[ig]
8947 && atm->z[ip] <= ctl->retq_zmax[ig])
8948 x2atm_help(&atm->q[ig][ip], x, &n);
8949
8950 /* Get extinction... */
8951 for (int iw = 0; iw < ctl->nw; iw++)
8952 for (int ip = 0; ip < atm->np; ip++)
8953 if (atm->z[ip] >= ctl->retk_zmin[iw]
8954 && atm->z[ip] <= ctl->retk_zmax[iw])
8955 x2atm_help(&atm->k[iw][ip], x, &n);
8956
8957 /* Get cloud data... */
8958 if (ctl->ret_clz)
8959 x2atm_help(&atm->clz, x, &n);
8960 if (ctl->ret_cldz)
8961 x2atm_help(&atm->cldz, x, &n);
8962 if (ctl->ret_clk)
8963 for (int icl = 0; icl < ctl->ncl; icl++)
8964 x2atm_help(&atm->clk[icl], x, &n);
8965
8966 /* Get surface data... */
8967 if (ctl->ret_sft)
8968 x2atm_help(&atm->sft, x, &n);
8969 if (ctl->ret_sfeps)
8970 for (int isf = 0; isf < ctl->nsf; isf++)
8971 x2atm_help(&atm->sfeps[isf], x, &n);
8972}
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:8976
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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 8976 of file jurassic.c.

8979 {
8980
8981 /* Get state vector element... */
8982 *value = gsl_vector_get(x, *n);
8983 (*n)++;
8984}

◆ 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 8988 of file jurassic.c.

8991 {
8992
8993 size_t m = 0;
8994
8995 /* Decompose measurement vector... */
8996 for (int ir = 0; ir < obs->nr; ir++)
8997 for (int id = 0; id < ctl->nd; id++)
8998 if (isfinite(obs->rad[id][ir])) {
8999 obs->rad[id][ir] = gsl_vector_get(y, m);
9000 m++;
9001 }
9002}