JURASSIC
Data Structures | Macros | Functions
jurassic.h File Reference

JURASSIC library declarations. More...

#include <errno.h>
#include <fcntl.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_blas.h>
#include <gsl/gsl_linalg.h>
#include <gsl/gsl_randist.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_statistics.h>
#include <math.h>
#include <netcdf.h>
#include <omp.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include <unistd.h>

Go to the source code of this file.

Data Structures

struct  atm_t
 Atmospheric profile data. More...
 
struct  ctl_t
 Control parameters. More...
 
struct  los_t
 Line-of-sight data. More...
 
struct  obs_t
 Observation geometry and radiance data. More...
 
struct  ret_t
 Retrieval control parameters. More...
 
struct  tbl_t
 Emissivity look-up tables. More...
 

Macros

#define C1   1.19104259e-8
 First spectroscopic constant (c_1 = 2 h c^2) [W/(m^2 sr cm^-4)]. More...
 
#define C2   1.43877506
 Second spectroscopic constant (c_2 = h c / k) [K/cm^-1]. More...
 
#define EPSMIN   0
 Minimum emissivity. More...
 
#define EPSMAX   1
 Maximum emissivity. More...
 
#define G0   9.80665
 Standard gravity [m/s^2]. More...
 
#define H0   7.0
 Standard scale height [km]. More...
 
#define KB   1.3806504e-23
 Boltzmann constant [kg m^2/(K s^2)]. More...
 
#define ME   5.976e24
 Mass of Earth [kg]. More...
 
#define NA   6.02214199e23
 Avogadro's number. More...
 
#define N2   0.78084
 Nitrogen concentration. More...
 
#define O2   0.20946
 Oxygen concentration. More...
 
#define P0   1013.25
 Standard pressure [hPa]. More...
 
#define RE   6367.421
 Mean radius of Earth [km]. More...
 
#define RI   8.3144598
 Ideal gas constant [J/(mol K)]. More...
 
#define T0   273.15
 Standard temperature [K]. More...
 
#define TMAX   400.
 Maximum temperature for source function [K]. More...
 
#define TMIN   100.
 Minimum temperature for source function [K]. More...
 
#define TSUN   5780.
 Effective temperature of the sun [K]. More...
 
#define UMIN   0
 Minimum column density [molecules/cm^2]. More...
 
#define UMAX   1e30
 Maximum column density [molecules/cm^2]. More...
 
#define LEN   10000
 Maximum length of ASCII data lines. More...
 
#define M   (NR*ND)
 Maximum size of measurement vector. More...
 
#define N   ((2 + NG + NW) * NP + NCL + NSF + 3)
 Maximum size of state vector. More...
 
#define NCL   8
 Maximum number of cloud layer spectral grid points. More...
 
#define ND   128
 Maximum number of radiance channels. More...
 
#define NFOV   5
 Number of ray paths used for FOV calculations. More...
 
#define NG   8
 Maximum number of emitters. More...
 
#define NLOS   4096
 Maximum number of LOS points. More...
 
#define NP   256
 Maximum number of atmospheric data points. More...
 
#define NQ   (5 + NG + NW + NCL + NSF)
 Maximum number of quantities. More...
 
#define NR   256
 Maximum number of ray paths. More...
 
#define NSF   8
 Maximum number of surface layer spectral grid points. More...
 
#define NSHAPE   20000
 Maximum number of shape function grid points. More...
 
#define NTIMER   100
 Maximum number of aggregated timers. More...
 
#define NW   4
 Maximum number of spectral windows. More...
 
#define RFMNPTS   10000000
 Maximum number of RFM spectral grid points. More...
 
#define TBLNP   41
 Maximum number of pressure levels in emissivity tables. More...
 
#define TBLNS   1200
 Maximum number of source function temperature levels. More...
 
#define TBLNT   30
 Maximum number of temperatures in emissivity tables. More...
 
#define TBLNU   512
 Maximum number of column densities per emissivity curve. More...
 
#define IDXP   0
 Index for pressure. More...
 
#define IDXT   1
 Index for temperature. More...
 
#define IDXQ(ig)   (2 + (ig))
 Indices for volume mixing ratios. More...
 
#define IDXK(iw)   (2 + (ctl->ng) + (iw))
 Indices for extinction. More...
 
#define IDXCLZ   (2 + (ctl->ng) + (ctl->nw))
 Index for cloud layer height. More...
 
#define IDXCLDZ   (3 + (ctl->ng) + (ctl->nw))
 Index for cloud layer depth. More...
 
#define IDXCLK(icl)   (4 + (ctl->ng) + (ctl->nw) + (icl))
 Indices for cloud layer extinction. More...
 
#define IDXSFT   (4 + (ctl->ng) + (ctl->nw) + (ctl->ncl))
 Index for surface layer temperature. More...
 
#define IDXSFEPS(isf)   (5 + (ctl->ng) + (ctl->nw) + (ctl->ncl) + (isf))
 Indices for surface layer emissivity. More...
 
#define ALLOC(ptr, type, n)
 Allocate memory for an array. More...
 
#define BRIGHT(rad, nu)    (C2 * (nu) / gsl_log1p(C1 * POW3(nu) / (rad)))
 Compute brightness temperature from radiance. More...
 
#define CLAMP(v, lo, hi)    (((v) < (lo)) ? (lo) : (((v) > (hi)) ? (hi) : (v)))
 Clamp a value to a specified range. More...
 
#define CO2_FIT(TIME)
 Climatological CO2 volume mixing ratio as a quadratic function of time. More...
 
#define DEG2RAD(deg)   ((deg) * (M_PI / 180.0))
 Convert degrees to radians. More...
 
#define DIST(a, b)   sqrt(DIST2(a, b))
 Compute Cartesian distance between two 3D vectors. More...
 
#define DIST2(a, b)    ((a[0]-b[0])*(a[0]-b[0])+(a[1]-b[1])*(a[1]-b[1])+(a[2]-b[2])*(a[2]-b[2]))
 Compute squared distance between two 3D vectors. More...
 
#define DOTP(a, b)   (a[0]*b[0]+a[1]*b[1]+a[2]*b[2])
 Compute dot product of two 3D vectors. More...
 
#define FREAD(ptr, type, size, out)
 Read binary data from a file. More...
 
#define FWRITE(ptr, type, size, out)
 Write binary data to a file. More...
 
#define LIN(x0, y0, x1, y1, x)    ((y0)+((y1)-(y0))/((x1)-(x0))*((x)-(x0)))
 Compute linear interpolation. More...
 
#define LOGY(x0, y0, x1, y1, x)
 Compute logarithmic interpolation in y. More...
 
#define MAX(a, b)   (((a)>(b))?(a):(b))
 Determine the maximum of two values. More...
 
#define MIN(a, b)   (((a)<(b))?(a):(b))
 Determine the minimum of two values. More...
 
#define NC(cmd)
 Execute a NetCDF command and check for errors. More...
 
#define NC_DEF_VAR(varname, type, ndims, dims, long_name, units, level, quant)
 Define a NetCDF variable with attributes. More...
 
#define NC_GET_DOUBLE(varname, ptr, force)
 Retrieve a double-precision variable from a NetCDF file. More...
 
#define NC_INQ_DIM(dimname, ptr, min, max, check)
 Inquire the length of a dimension in a NetCDF file. More...
 
#define NC_PUT_DOUBLE(varname, ptr, hyperslab)
 Write double precision data to a NetCDF variable. More...
 
#define NC_PUT_FLOAT(varname, ptr, hyperslab)
 Write a float array to a NetCDF file. More...
 
#define NC_PUT_INT(varname, ptr, hyperslab)
 Write integer data to a NetCDF variable. More...
 
#define NC_PUT_ATT(varname, attname, text)
 Add a text attribute to a NetCDF variable. More...
 
#define NC_PUT_ATT_GLOBAL(attname, text)    NC(nc_put_att_text(ncid, NC_GLOBAL, attname, strnlen(text, LEN), text));
 Add a global text attribute to a NetCDF file. More...
 
#define NEDT(t_bg, nesr, nu)    (BRIGHT(PLANCK((t_bg), (nu)) + (nesr), (nu)) - (t_bg))
 Convert noise-equivalent spectral radiance (NESR) to noise-equivalent delta temperature (NEDT). More...
 
#define NESR(t_bg, nedt, nu)    (PLANCK((t_bg) + (nedt), (nu)) - PLANCK((t_bg), (nu)))
 Convert noise-equivalent delta temperature (NEDT) to noise-equivalent spectral radiance (NESR). More...
 
#define NORM(a)   sqrt(DOTP(a, a))
 Compute the norm (magnitude) of a 3D vector. More...
 
#define PLANCK(T, nu)    (C1 * POW3(nu) / gsl_expm1(C2 * (nu) / (T)))
 Compute spectral radiance using Planck’s law. More...
 
#define POW2(x)   ((x)*(x))
 Compute the square of a value. More...
 
#define POW3(x)   ((x)*(x)*(x))
 Compute the cube of a value. More...
 
#define RAD2DEG(rad)   ((rad) * (180.0 / M_PI))
 Convert radians to degrees. More...
 
#define REFRAC_SW53(p, T, h2o)    (1e-6 * (77.6 * (p) / (T) + 3.73e5 * (h2o) * (p) / ((T) * (T))))
 Compute moist-air refractivity (n - 1) with Smith-Weintraub. More...
 
#define REFRAC_EDLEN(p, T)
 Compute dry-air refractivity (n - 1) with an Edlen-type relation. More...
 
#define TBL_LOG(tbl, id, ig)
 Log detailed statistics of an emissivity look-up table. More...
 
#define SELECT_TIMER(id, group)    {timer_group(id, group, 0);}
 Switch to a named aggregated timer. More...
 
#define PRINT_TIMERS    {timer_group("END", "END", 1);}
 Print aggregated timer statistics. More...
 
#define TOK(line, tok, format, var)
 Tokenize a string and parse a variable. More...
 
#define USAGE
 Print usage information on -h or --help. More...
 
#define LOGLEV   2
 Level of log messages (0=none, 1=basic, 2=detailed, 3=debug). More...
 
#define LOG(level, ...)
 Print a log message with a specified logging level. More...
 
#define WARN(...)
 Print a warning message with contextual information. More...
 
#define ERRMSG(...)
 Print an error message with contextual information and terminate the program. More...
 
#define PRINT(format, var)
 Print the value of a variable with contextual information. More...
 

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 declarations.

Definition in file jurassic.h.

Macro Definition Documentation

◆ C1

#define C1   1.19104259e-8

First spectroscopic constant (c_1 = 2 h c^2) [W/(m^2 sr cm^-4)].

Definition at line 164 of file jurassic.h.

◆ C2

#define C2   1.43877506

Second spectroscopic constant (c_2 = h c / k) [K/cm^-1].

Definition at line 169 of file jurassic.h.

◆ EPSMIN

#define EPSMIN   0

Minimum emissivity.

Definition at line 174 of file jurassic.h.

◆ EPSMAX

#define EPSMAX   1

Maximum emissivity.

Definition at line 179 of file jurassic.h.

◆ G0

#define G0   9.80665

Standard gravity [m/s^2].

Definition at line 184 of file jurassic.h.

◆ H0

#define H0   7.0

Standard scale height [km].

Definition at line 189 of file jurassic.h.

◆ KB

#define KB   1.3806504e-23

Boltzmann constant [kg m^2/(K s^2)].

Definition at line 194 of file jurassic.h.

◆ ME

#define ME   5.976e24

Mass of Earth [kg].

Definition at line 199 of file jurassic.h.

◆ NA

#define NA   6.02214199e23

Avogadro's number.

Definition at line 204 of file jurassic.h.

◆ N2

#define N2   0.78084

Nitrogen concentration.

Definition at line 209 of file jurassic.h.

◆ O2

#define O2   0.20946

Oxygen concentration.

Definition at line 214 of file jurassic.h.

◆ P0

#define P0   1013.25

Standard pressure [hPa].

Definition at line 219 of file jurassic.h.

◆ RE

#define RE   6367.421

Mean radius of Earth [km].

Definition at line 224 of file jurassic.h.

◆ RI

#define RI   8.3144598

Ideal gas constant [J/(mol K)].

Definition at line 229 of file jurassic.h.

◆ T0

#define T0   273.15

Standard temperature [K].

Definition at line 234 of file jurassic.h.

◆ TMAX

#define TMAX   400.

Maximum temperature for source function [K].

Definition at line 239 of file jurassic.h.

◆ TMIN

#define TMIN   100.

Minimum temperature for source function [K].

Definition at line 244 of file jurassic.h.

◆ TSUN

#define TSUN   5780.

Effective temperature of the sun [K].

Definition at line 249 of file jurassic.h.

◆ UMIN

#define UMIN   0

Minimum column density [molecules/cm^2].

Definition at line 254 of file jurassic.h.

◆ UMAX

#define UMAX   1e30

Maximum column density [molecules/cm^2].

Definition at line 259 of file jurassic.h.

◆ LEN

#define LEN   10000

Maximum length of ASCII data lines.

Definition at line 268 of file jurassic.h.

◆ M

#define M   (NR*ND)

Maximum size of measurement vector.

Definition at line 273 of file jurassic.h.

◆ N

#define N   ((2 + NG + NW) * NP + NCL + NSF + 3)

Maximum size of state vector.

Definition at line 278 of file jurassic.h.

◆ NCL

#define NCL   8

Maximum number of cloud layer spectral grid points.

Definition at line 283 of file jurassic.h.

◆ ND

#define ND   128

Maximum number of radiance channels.

Definition at line 288 of file jurassic.h.

◆ NFOV

#define NFOV   5

Number of ray paths used for FOV calculations.

Definition at line 293 of file jurassic.h.

◆ NG

#define NG   8

Maximum number of emitters.

Definition at line 298 of file jurassic.h.

◆ NLOS

#define NLOS   4096

Maximum number of LOS points.

Definition at line 303 of file jurassic.h.

◆ NP

#define NP   256

Maximum number of atmospheric data points.

Definition at line 308 of file jurassic.h.

◆ NQ

#define NQ   (5 + NG + NW + NCL + NSF)

Maximum number of quantities.

Definition at line 313 of file jurassic.h.

◆ NR

#define NR   256

Maximum number of ray paths.

Definition at line 318 of file jurassic.h.

◆ NSF

#define NSF   8

Maximum number of surface layer spectral grid points.

Definition at line 323 of file jurassic.h.

◆ NSHAPE

#define NSHAPE   20000

Maximum number of shape function grid points.

Definition at line 328 of file jurassic.h.

◆ NTIMER

#define NTIMER   100

Maximum number of aggregated timers.

Definition at line 333 of file jurassic.h.

◆ NW

#define NW   4

Maximum number of spectral windows.

Definition at line 338 of file jurassic.h.

◆ RFMNPTS

#define RFMNPTS   10000000

Maximum number of RFM spectral grid points.

Definition at line 343 of file jurassic.h.

◆ TBLNP

#define TBLNP   41

Maximum number of pressure levels in emissivity tables.

Definition at line 348 of file jurassic.h.

◆ TBLNS

#define TBLNS   1200

Maximum number of source function temperature levels.

Definition at line 353 of file jurassic.h.

◆ TBLNT

#define TBLNT   30

Maximum number of temperatures in emissivity tables.

Definition at line 358 of file jurassic.h.

◆ TBLNU

#define TBLNU   512

Maximum number of column densities per emissivity curve.

Definition at line 363 of file jurassic.h.

◆ IDXP

#define IDXP   0

Index for pressure.

Definition at line 371 of file jurassic.h.

◆ IDXT

#define IDXT   1

Index for temperature.

Definition at line 374 of file jurassic.h.

◆ IDXQ

#define IDXQ (   ig)    (2 + (ig))

Indices for volume mixing ratios.

Definition at line 377 of file jurassic.h.

◆ IDXK

#define IDXK (   iw)    (2 + (ctl->ng) + (iw))

Indices for extinction.

Definition at line 380 of file jurassic.h.

◆ IDXCLZ

#define IDXCLZ   (2 + (ctl->ng) + (ctl->nw))

Index for cloud layer height.

Definition at line 383 of file jurassic.h.

◆ IDXCLDZ

#define IDXCLDZ   (3 + (ctl->ng) + (ctl->nw))

Index for cloud layer depth.

Definition at line 386 of file jurassic.h.

◆ IDXCLK

#define IDXCLK (   icl)    (4 + (ctl->ng) + (ctl->nw) + (icl))

Indices for cloud layer extinction.

Definition at line 389 of file jurassic.h.

◆ IDXSFT

#define IDXSFT   (4 + (ctl->ng) + (ctl->nw) + (ctl->ncl))

Index for surface layer temperature.

Definition at line 392 of file jurassic.h.

◆ IDXSFEPS

#define IDXSFEPS (   isf)    (5 + (ctl->ng) + (ctl->nw) + (ctl->ncl) + (isf))

Indices for surface layer emissivity.

Definition at line 395 of file jurassic.h.

◆ ALLOC

#define ALLOC (   ptr,
  type,
 
)
Value:
if((ptr=calloc((size_t)(n), sizeof(type)))==NULL) \
ERRMSG("Out of memory!");

Allocate memory for an array.

Allocates a contiguous block of memory for an array of n elements of type type and assigns the pointer to ptr. If allocation fails, the program prints an error message and terminates.

Parameters
[out]ptrPointer to be allocated.
[in]typeData type of the elements to allocate.
[in]nNumber of elements to allocate.
Note
Wraps malloc() with built-in error handling.
See also
FREAD, FWRITE
Author
Lars Hoffmann

Definition at line 418 of file jurassic.h.

◆ BRIGHT

#define BRIGHT (   rad,
  nu 
)     (C2 * (nu) / gsl_log1p(C1 * POW3(nu) / (rad)))

Compute brightness temperature from radiance.

Computes the equivalent blackbody (brightness) temperature corresponding to a given spectral radiance and wavenumber, using the inverse Planck function. This form assumes the spectroscopic constants C1 and C2 are defined for wavenumber units (cm⁻¹).

Parameters
[in]radSpectral radiance [W·m⁻²·sr⁻¹·(cm⁻¹)⁻¹].
[in]nuWavenumber [cm⁻¹].
Returns
Brightness temperature [K].
See also
PLANCK, C1, C2
Note
Based on Planck’s law in wavenumber form: \( T_b = \frac{c_2 \nu}{\ln\!\left(1 + \frac{c_1 \nu^3}{L_\nu}\right)} \) where \(L_\nu\) is the radiance. The ν³ dependence reflects the definition of C1 for radiance per unit wavenumber in cm⁻¹.
Warning
The radiance MUST be in W·m⁻²·sr⁻¹·(cm⁻¹)⁻¹. Using radiance per meter will produce brightness temperatures incorrect by six orders of magnitude.
Author
Lars Hoffmann

Definition at line 448 of file jurassic.h.

◆ CLAMP

#define CLAMP (   v,
  lo,
  hi 
)     (((v) < (lo)) ? (lo) : (((v) > (hi)) ? (hi) : (v)))

Clamp a value to a specified range.

Ensures that v lies between lo and hi. If v < lo, returns lo. If v > hi, returns hi. Otherwise, returns v unchanged.

This macro works with any numeric type (e.g., int, float, double). All arguments are evaluated exactly once — avoid passing expressions with side effects (e.g., ++ operators or function calls).

Parameters
vInput value to clamp.
loLower bound.
hiUpper bound.
Returns
The clamped value between lo and hi.
Author
Lars Hoffmann

Definition at line 470 of file jurassic.h.

◆ CO2_FIT

#define CO2_FIT (   TIME)
Value:
(373.87884731310215e-6 \
+ 1.9021498612395775e-6 * (((TIME) - 94694400.) / 31557600.) \
+ 0.016490044598136553e-6 \
* POW2((((TIME) - 94694400.) / 31557600.)))
#define POW2(x)
Compute the square of a value.
Definition: jurassic.h:1018

Climatological CO2 volume mixing ratio as a quadratic function of time.

This macro evaluates a hardwired quadratic fit of the global mean CO2 volume mixing ratio in [ppv]. The fit is based on NOAA global annual mean CO2 data covering the period from 1980 to 2025.

Parameters
TIMETime in seconds since 2000-01-01T00:00Z.
Returns
Climatological CO2 volume mixing ratio in [ppv].
Author
Lars Hoffmann

Definition at line 485 of file jurassic.h.

◆ DEG2RAD

#define DEG2RAD (   deg)    ((deg) * (M_PI / 180.0))

Convert degrees to radians.

Converts an angle measured in degrees to radians using: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \).

Parameters
[in]degAngle in degrees.
Returns
Angle in radians.
See also
RAD2DEG
Author
Lars Hoffmann

Definition at line 505 of file jurassic.h.

◆ DIST

#define DIST (   a,
 
)    sqrt(DIST2(a, b))

Compute Cartesian distance between two 3D vectors.

Computes the Euclidean distance between two 3D vectors or points.

Parameters
[in]aFirst vector (array of length 3).
[in]bSecond vector (array of length 3).
Returns
Euclidean distance between a and b.
See also
DIST2
Note
Equivalent to \( \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2 + (z_1-z_2)^2} \).
Author
Lars Hoffmann

Definition at line 523 of file jurassic.h.

◆ DIST2

#define DIST2 (   a,
 
)     ((a[0]-b[0])*(a[0]-b[0])+(a[1]-b[1])*(a[1]-b[1])+(a[2]-b[2])*(a[2]-b[2]))

Compute squared distance between two 3D vectors.

Computes the square of the Euclidean distance between two 3D vectors. Useful when only relative distances are needed (avoids square root).

Parameters
[in]aFirst vector (array of length 3).
[in]bSecond vector (array of length 3).
Returns
Squared distance between a and b.
See also
DIST
Author
Lars Hoffmann

Definition at line 540 of file jurassic.h.

◆ DOTP

#define DOTP (   a,
 
)    (a[0]*b[0]+a[1]*b[1]+a[2]*b[2])

Compute dot product of two 3D vectors.

Computes the scalar (dot) product between two 3-element vectors: \( a \cdot b = a_x b_x + a_y b_y + a_z b_z \).

Parameters
[in]aFirst vector (array of length 3).
[in]bSecond vector (array of length 3).
Returns
Scalar dot product of a and b.
See also
NORM
Author
Lars Hoffmann

Definition at line 558 of file jurassic.h.

◆ FREAD

#define FREAD (   ptr,
  type,
  size,
  out 
)
Value:
{ \
if(fread(ptr, sizeof(type), size, out)!=size) \
ERRMSG("Error while reading!"); \
}

Read binary data from a file.

Reads size elements of type type from the file stream out into the memory pointed to by ptr. If the number of elements read differs from size, an error message is printed and the program terminates.

Parameters
[out]ptrPointer to destination memory buffer.
[in]typeType of each element to read.
[in]sizeNumber of elements to read.
[in,out]outFile stream opened for reading.
See also
FWRITE, ALLOC
Note
Wraps fread() with error handling.
Author
Lars Hoffmann

Definition at line 578 of file jurassic.h.

◆ FWRITE

#define FWRITE (   ptr,
  type,
  size,
  out 
)
Value:
{ \
if(fwrite(ptr, sizeof(type), size, out)!=size) \
ERRMSG("Error while writing!"); \
}

Write binary data to a file.

Writes size elements of type type from the memory pointed to by ptr to the file stream out. If the number of elements written differs from size, an error message is printed and the program terminates.

Parameters
[in]ptrPointer to memory buffer containing data to write.
[in]typeType of each element to write.
[in]sizeNumber of elements to write.
[in,out]outFile stream opened for writing.
See also
FREAD
Note
Wraps fwrite() with error handling.
Author
Lars Hoffmann

Definition at line 601 of file jurassic.h.

◆ LIN

#define LIN (   x0,
  y0,
  x1,
  y1,
 
)     ((y0)+((y1)-(y0))/((x1)-(x0))*((x)-(x0)))

Compute linear interpolation.

Performs simple linear interpolation between two known points (x₀, y₀) and (x₁, y₁) to estimate the value of y at a given x.

Parameters
[in]x0Lower x-value.
[in]y0Function value at x₀.
[in]x1Upper x-value.
[in]y1Function value at x₁.
[in]xInterpolation point.
Returns
Linearly interpolated y-value at x.
See also
LOGY
Author
Lars Hoffmann

Definition at line 624 of file jurassic.h.

◆ LOGY

#define LOGY (   x0,
  y0,
  x1,
  y1,
 
)
Value:
(((y1)/(y0)>0) \
? ((y0)*exp(log((y1)/(y0))/((x1)-(x0))*((x)-(x0)))) \
: LIN(x0, y0, x1, y1, x))
#define LIN(x0, y0, x1, y1, x)
Compute linear interpolation.
Definition: jurassic.h:624

Compute logarithmic interpolation in y.

Performs interpolation assuming exponential variation in the y-axis (logarithmic in y). If y₁/y₀ is nonpositive, reverts to linear interpolation.

Parameters
[in]x0Lower x-value.
[in]y0Function value at x₀.
[in]x1Upper x-value.
[in]y1Function value at x₁.
[in]xInterpolation point.
Returns
Interpolated y-value at x.
See also
LIN
Author
Lars Hoffmann

Definition at line 645 of file jurassic.h.

◆ MAX

#define MAX (   a,
 
)    (((a)>(b))?(a):(b))

Determine the maximum of two values.

Returns the greater of two scalar values.

Parameters
[in]aFirst value.
[in]bSecond value.
Returns
Maximum of a and b.
See also
MIN
Note
Both arguments are evaluated multiple times; avoid side effects.
Author
Lars Hoffmann

Definition at line 666 of file jurassic.h.

◆ MIN

#define MIN (   a,
 
)    (((a)<(b))?(a):(b))

Determine the minimum of two values.

Returns the smaller of two scalar values.

Parameters
[in]aFirst value.
[in]bSecond value.
Returns
Minimum of a and b.
See also
MAX
Note
Both arguments are evaluated multiple times; avoid side effects.
Author
Lars Hoffmann

Definition at line 684 of file jurassic.h.

◆ NC

#define NC (   cmd)
Value:
{ \
int nc_result=(cmd); \
if(nc_result!=NC_NOERR) \
ERRMSG("%s", nc_strerror(nc_result)); \
}

Execute a NetCDF command and check for errors.

This macro executes a NetCDF command and checks the result. If the result indicates an error, it prints the error message using ERRMSG.

Parameters
cmdNetCDF command to execute.
Author
Lars Hoffmann

Definition at line 697 of file jurassic.h.

◆ NC_DEF_VAR

#define NC_DEF_VAR (   varname,
  type,
  ndims,
  dims,
  long_name,
  units,
  level,
  quant 
)
Value:
{ \
NC(nc_def_var(ncid, varname, type, ndims, dims, &varid)); \
NC(nc_put_att_text(ncid, varid, "long_name", strnlen(long_name, LEN), long_name)); \
NC(nc_put_att_text(ncid, varid, "units", strnlen(units, LEN), units)); \
if((quant) > 0) \
NC(nc_def_var_quantize(ncid, varid, NC_QUANTIZE_GRANULARBR, quant)); \
if((level) != 0) { \
NC(nc_def_var_deflate(ncid, varid, 1, 1, level)); \
/* unsigned int ulevel = (unsigned int)level; */ \
/* NC(nc_def_var_filter(ncid, varid, 32015, 1, (unsigned int[]){ulevel})); */ \
} \
}
#define LEN
Maximum length of ASCII data lines.
Definition: jurassic.h:268

Define a NetCDF variable with attributes.

This macro defines a NetCDF variable with the specified name, data type, dimensions, long name, and units. It also sets the long_name and units attributes for the variable. It enables compression and quantizatio of the data.

Parameters
varnameName of the variable.
typeData type of the variable.
ndimsNumber of dimensions for the variable.
dimsArray of dimension IDs.
long_nameLong name of the variable.
unitsUnits of the variable.
levelzlib compression level (0 = off).
quantNumber of digits for quantization (0 = off).
Note
To enable ZSTD compression, replace nc_def_var_deflate() by nc_def_var_filter() below. Use dynamic linking, static linking does not work. Set environment variable HDF5_PLUGIN_PATH to ./libs/build/share/netcdf-plugins/.
Author
Lars Hoffmann

Definition at line 726 of file jurassic.h.

◆ NC_GET_DOUBLE

#define NC_GET_DOUBLE (   varname,
  ptr,
  force 
)
Value:
{ \
if(force) { \
NC(nc_inq_varid(ncid, varname, &varid)); \
NC(nc_get_var_double(ncid, varid, ptr)); \
} else { \
if(nc_inq_varid(ncid, varname, &varid) == NC_NOERR) { \
NC(nc_get_var_double(ncid, varid, ptr)); \
WARN("netCDF variable %s is missing!", varname); \
} \
}
#define WARN(...)
Print a warning message with contextual information.
Definition: jurassic.h:1292

Retrieve a double-precision variable from a NetCDF file.

This macro retrieves a double-precision variable from a NetCDF file. It first checks if the variable exists in the file and then reads its data into the specified pointer. If the force parameter is set to true, it forces the retrieval of the variable, raising an error if the variable does not exist. If force is false, it retrieves the variable if it exists and issues a warning if it does not.

Parameters
varnameName of the variable to retrieve.
ptrPointer to the memory location where the data will be stored.
forceBoolean flag indicating whether to force retrieval (true) or not (false).
Author
Lars Hoffmann

Definition at line 756 of file jurassic.h.

◆ NC_INQ_DIM

#define NC_INQ_DIM (   dimname,
  ptr,
  min,
  max,
  check 
)
Value:
{ \
int dimid; size_t naux; \
NC(nc_inq_dimid(ncid, dimname, &dimid)); \
NC(nc_inq_dimlen(ncid, dimid, &naux)); \
*ptr = (int)naux; \
if (check) \
if ((*ptr) < (min) || (*ptr) > (max)) \
ERRMSG("Dimension %s is out of range!", dimname); \
}

Inquire the length of a dimension in a NetCDF file.

This macro retrieves the length of a specified dimension from a NetCDF file. It checks if the length of the dimension is within a specified range and assigns the length to the provided pointer. If the length is outside the specified range, an error message is raised.

Parameters
dimnameName of the dimension to inquire.
ptrPointer to an integer where the dimension length will be stored.
minMinimum acceptable length for the dimension.
maxMaximum acceptable length for the dimension.
checkFlag to check bounds. Set to 1 for bounds check.
Author
Lars Hoffmann

Definition at line 785 of file jurassic.h.

◆ NC_PUT_DOUBLE

#define NC_PUT_DOUBLE (   varname,
  ptr,
  hyperslab 
)
Value:
{ \
NC(nc_inq_varid(ncid, varname, &varid)); \
if(hyperslab) { \
NC(nc_put_vara_double(ncid, varid, start, count, ptr)); \
} else { \
NC(nc_put_var_double(ncid, varid, ptr)); \
} \
}

Write double precision data to a NetCDF variable.

This macro writes data to a specified NetCDF variable. It can handle both full variable writes and hyperslab writes depending on the hyperslab parameter. If hyperslab is true, the data is written as a hyperslab; otherwise, the entire variable is written.

Parameters
varnameName of the NetCDF variable to write to.
ptrPointer to the data to be written.
hyperslabBoolean indicating whether to write the data as a hyperslab.
Author
Lars Hoffmann

Definition at line 809 of file jurassic.h.

◆ NC_PUT_FLOAT

#define NC_PUT_FLOAT (   varname,
  ptr,
  hyperslab 
)
Value:
{ \
NC(nc_inq_varid(ncid, varname, &varid)); \
if(hyperslab) { \
NC(nc_put_vara_float(ncid, varid, start, count, ptr)); \
} else { \
NC(nc_put_var_float(ncid, varid, ptr)); \
} \
}

Write a float array to a NetCDF file.

This macro writes a float array to a specified variable in a NetCDF file. Depending on the value of the hyperslab parameter, the data can be written as a hyperslab or as a whole variable.

Parameters
varnameName of the variable to which the float array will be written.
ptrPointer to the float array to be written.
hyperslabBoolean flag indicating if the data should be written as a hyperslab.
  • If true, the data will be written as a hyperslab using the start and count arrays.
  • If false, the data will be written to the entire variable.
Author
Lars Hoffmann

Definition at line 833 of file jurassic.h.

◆ NC_PUT_INT

#define NC_PUT_INT (   varname,
  ptr,
  hyperslab 
)
Value:
{ \
NC(nc_inq_varid(ncid, varname, &varid)); \
if(hyperslab) { \
NC(nc_put_vara_int(ncid, varid, start, count, ptr)); \
} else { \
NC(nc_put_var_int(ncid, varid, ptr)); \
} \
}

Write integer data to a NetCDF variable.

This macro writes data to a specified NetCDF variable. It can handle both full variable writes and hyperslab writes depending on the hyperslab parameter. If hyperslab is true, the data is written as a hyperslab; otherwise, the entire variable is written.

Parameters
varnameName of the NetCDF variable to write to.
ptrPointer to the data to be written.
hyperslabBoolean indicating whether to write the data as a hyperslab.
Author
Lars Hoffmann

Definition at line 856 of file jurassic.h.

◆ NC_PUT_ATT

#define NC_PUT_ATT (   varname,
  attname,
  text 
)
Value:
{ \
NC(nc_inq_varid(ncid, varname, &varid)); \
NC(nc_put_att_text(ncid, varid, attname, strnlen(text, LEN), text)); \
}

Add a text attribute to a NetCDF variable.

This macro adds a text attribute to a specified NetCDF variable. It first retrieves the variable ID using its name, then it attaches the text attribute to the variable.

Parameters
varnameName of the NetCDF variable to which the attribute will be added.
attnameName of the attribute to be added.
textText of the attribute to be added.
Author
Lars Hoffmann

Definition at line 878 of file jurassic.h.

◆ NC_PUT_ATT_GLOBAL

#define NC_PUT_ATT_GLOBAL (   attname,
  text 
)     NC(nc_put_att_text(ncid, NC_GLOBAL, attname, strnlen(text, LEN), text));

Add a global text attribute to a NetCDF file.

This macro adds a text attribute to the global attributes of a NetCDF file. It directly attaches the attribute to the file, rather than to a specific variable.

Parameters
attnameName of the global attribute to be added.
textText of the attribute to be added.
Author
Lars Hoffmann

Definition at line 895 of file jurassic.h.

◆ NEDT

#define NEDT (   t_bg,
  nesr,
  nu 
)     (BRIGHT(PLANCK((t_bg), (nu)) + (nesr), (nu)) - (t_bg))

Convert noise-equivalent spectral radiance (NESR) to noise-equivalent delta temperature (NEDT).

Computes the temperature noise level corresponding to a given NESR at a background radiance, using the inverse Planck function. The NEDT expresses radiometric sensitivity in temperature units, assuming blackbody emission.

Parameters
[in]t_bgBackground (scene) brightness temperature [K].
[in]nesrNoise-equivalent spectral radiance [W·m⁻²·sr⁻¹·(cm⁻¹)⁻¹].
[in]nuWavenumber [cm⁻¹].
Returns
Noise-equivalent delta temperature [K].
Note
This macro computes

\[ \mathrm{NEDT} = T_b(L_\nu(T_\mathrm{bg}) + \mathrm{NESR}) - T_\mathrm{bg} \]

where \(T_b\) is the brightness temperature from the inverse Planck function.
Warning
All units must be consistent with PLANCK and BRIGHT. Mixing radiance units per meter instead of per cm⁻¹ will yield incorrect results by orders of magnitude.
See also
NESR, PLANCK, BRIGHT, C1, C2

Definition at line 927 of file jurassic.h.

◆ NESR

#define NESR (   t_bg,
  nedt,
  nu 
)     (PLANCK((t_bg) + (nedt), (nu)) - PLANCK((t_bg), (nu)))

Convert noise-equivalent delta temperature (NEDT) to noise-equivalent spectral radiance (NESR).

Computes the radiance difference corresponding to a temperature noise level at a given background temperature and wavenumber, using Planck’s law. The NESR quantifies the radiometric sensitivity in spectral radiance units.

Parameters
[in]t_bgBackground (scene) brightness temperature [K].
[in]nedtNoise-equivalent delta temperature [K].
[in]nuWavenumber [cm⁻¹].
Returns
Noise-equivalent spectral radiance [W·m⁻²·sr⁻¹·(cm⁻¹)⁻¹].
Note
This macro computes

\[ \mathrm{NESR} = L_\nu(T_\mathrm{bg} + \mathrm{NEDT}) - L_\nu(T_\mathrm{bg}) \]

where \(L_\nu\) is spectral radiance from Planck’s law.
Warning
All units must be consistent with PLANCK. In particular, nu must be given in cm⁻¹.
See also
PLANCK, NEDT, BRIGHT

Definition at line 956 of file jurassic.h.

◆ NORM

#define NORM (   a)    sqrt(DOTP(a, a))

Compute the norm (magnitude) of a 3D vector.

Computes the Euclidean norm using the dot product: \( |a| = \sqrt{a \cdot a} \).

Parameters
[in]aInput vector (array of length 3).
Returns
Magnitude (norm) of vector a.
See also
DOTP
Author
Lars Hoffmann

Definition at line 973 of file jurassic.h.

◆ PLANCK

#define PLANCK (   T,
  nu 
)     (C1 * POW3(nu) / gsl_expm1(C2 * (nu) / (T)))

Compute spectral radiance using Planck’s law.

Evaluates Planck’s blackbody spectral radiance for a given temperature and wavenumber. The expression is formulated in wavenumber space (cm⁻¹) and uses the spectroscopic constants C1 and C2 in wavenumber units.

Parameters
[in]nuWavenumber [cm⁻¹].
[in]TTemperature [K].
Returns
Spectral radiance \(L_\nu\) in [W·m⁻²·sr⁻¹·(cm⁻¹)⁻¹].
Note
The Planck law implemented here is

\[ L_\nu = \frac{C_{1}\,\nu^{3}} {\exp\!\left(\frac{C_{2}\,\nu}{T}\right) - 1} \]

with \(\nu\) in cm⁻¹. The \(\nu^{3}\) dependence follows from the definition of C1 for radiance per wavenumber in cm⁻¹.
Warning
The units of all inputs MUST be consistent: nu in cm⁻¹ and T in kelvin. Mixing wavenumber and frequency formulations, or using radiance per meter instead of per cm⁻¹, will produce results off by orders of magnitude.
See also
BRIGHT, C1, C2

Definition at line 1004 of file jurassic.h.

◆ POW2

#define POW2 (   x)    ((x)*(x))

Compute the square of a value.

Returns x². Inline alternative to pow(x,2).

Parameters
[in]xInput value.
Returns
x squared.
Author
Lars Hoffmann

Definition at line 1018 of file jurassic.h.

◆ POW3

#define POW3 (   x)    ((x)*(x)*(x))

Compute the cube of a value.

Returns x³. Inline alternative to pow(x,3).

Parameters
[in]xInput value.
Returns
x cubed.
Author
Lars Hoffmann

Definition at line 1031 of file jurassic.h.

◆ RAD2DEG

#define RAD2DEG (   rad)    ((rad) * (180.0 / M_PI))

Convert radians to degrees.

Converts an angle measured in radians to degrees using: \( \text{degrees} = \text{radians} \times \frac{180}{\pi} \).

Parameters
[in]radAngle in radians.
Returns
Angle in degrees.
See also
DEG2RAD
Author
Lars Hoffmann

Definition at line 1047 of file jurassic.h.

◆ REFRAC_SW53

#define REFRAC_SW53 (   p,
  T,
  h2o 
)     (1e-6 * (77.6 * (p) / (T) + 3.73e5 * (h2o) * (p) / ((T) * (T))))

Compute moist-air refractivity (n - 1) with Smith-Weintraub.

Approximates the refractivity of moist air using the Smith-Weintraub relation for radio and microwave frequencies: \( (n - 1) \times 10^6 = k_1 \frac{p}{T} + k_2 \frac{e}{T^2} \), with \( k_1 = 77.6 \,\mathrm{K/hPa} \) and \( k_2 = 3.73\times10^5 \,\mathrm{K^2/hPa} \). Here p is total pressure (hPa), T is temperature (K), and \( e = \mathrm{h2o} \cdot p \) is the water-vapor partial pressure (hPa) derived from the H2O volume mixing ratio in [ppv].

In the current raytracer this relation is used as a fallback for refractivity models that are not explicitly wavelength-dependent.

Reference: Smith, E. K., and S. Weintraub: The constants in the equation for atmospheric refractive index at radio frequencies, Proc. IRE, 41, 1035-1037, https://doi.org/10.1109/JRPROC.1953.274297, 1953.

Parameters
[in]pPressure [hPa].
[in]TTemperature [K].
[in]h2oWater-vapor volume mixing ratio [ppv].
Returns
Refractivity (dimensionless, n - 1).
Author
Lars Hoffmann

Definition at line 1077 of file jurassic.h.

◆ REFRAC_EDLEN

#define REFRAC_EDLEN (   p,
 
)
Value:
((1e-8 \
* (8342.54 + 2406147.0 / (130.0 - 1.0 / (10.0 * 10.0)) \
+ 15998.0 / (38.9 - 1.0 / (10.0 * 10.0)))) \
* ((p) / 1013.25) * (288.15 / (T)))

Compute dry-air refractivity (n - 1) with an Edlen-type relation.

Approximates dry-air refractivity using the wavelength-dependent relation documented for RFM: \( (n - 1) = 10^{-8}\left[8342.54 + \frac{2406147}{130-\sigma^2} + \frac{15998}{38.9-\sigma^2}\right]\frac{\rho}{\rho_\mathrm{ref}} \), where \( \sigma = 1 / \lambda \) is the wavenumber in inverse microns. The density ratio is approximated here as \( (\rho/\rho_\mathrm{ref}) \approx (p/1013.25)(288.15/T) \). In the current raytracer the reference wavelength is fixed at 10 um.

Reference: Dudhia, A.: The Reference Forward Model (RFM), J. Quant. Spectrosc. Radiat. Transfer, 186, 243-253, https://doi.org/10.1016/j.jqsrt.2016.06.018, 2017.

Parameters
[in]pPressure [hPa].
[in]TTemperature [K].
Returns
Refractivity (dimensionless, n - 1).
Author
Lars Hoffmann

Definition at line 1104 of file jurassic.h.

◆ TBL_LOG

#define TBL_LOG (   tbl,
  id,
  ig 
)
Value:
do { \
for (int ip = 0; ip < (tbl)->np[(id)][(ig)]; ip++) \
LOG(2, \
"p[%2d]= %.5e hPa | T[0:%2d]= %.2f ... %.2f K | " \
"u[0:%3d]= %.5e ... %.5e molec/cm^2 | " \
"eps[0:%3d]= %.5e ... %.5e", \
(ip), \
(tbl)->p[(id)][(ig)][(ip)], \
(tbl)->nt[(id)][(ig)][(ip)] - 1, \
(tbl)->t[(id)][(ig)][(ip)][0], \
(tbl)->t[(id)][(ig)][(ip)] \
[(tbl)->nt[(id)][(ig)][(ip)] - 1], \
(tbl)->nu[(id)][(ig)][(ip)][0] - 1, \
exp((tbl)->logu[(id)][(ig)][(ip)][0][0]), \
exp((tbl)->logu[(id)][(ig)][(ip)][0] \
[(tbl)->nu[(id)][(ig)][(ip)][0] - 1]), \
(tbl)->nu[(id)][(ig)][(ip)][0] - 1, \
exp((tbl)->logeps[(id)][(ig)][(ip)][0][0]), \
exp((tbl)->logeps[(id)][(ig)][(ip)][0] \
[(tbl)->nu[(id)][(ig)][(ip)][0] - 1])); \
} while (0)
#define LOG(level,...)
Print a log message with a specified logging level.
Definition: jurassic.h:1255

Log detailed statistics of an emissivity look-up table.

This macro logs pressure, temperature, absorber column, and emissivity ranges for all pressure levels of a given (channel, emitter) table. Output is written at verbosity level 2 and is intended for diagnostics and debugging.

Parameters
tblPointer to the look-up table structure.
idChannel (detector) index.
igEmitter (trace gas) index.
Author
Lars Hoffmann

Definition at line 1124 of file jurassic.h.

◆ SELECT_TIMER

#define SELECT_TIMER (   id,
  group 
)     {timer_group(id, group, 0);}

Switch to a named aggregated timer.

Stops the previously selected aggregated timer, accumulates its runtime, and starts timing the new id within the given group.

Parameters
[in]idIdentifier of the timer to activate.
[in]groupGroup label used for coarse runtime summaries.
See also
timer_group, PRINT_TIMERS

Definition at line 1158 of file jurassic.h.

◆ PRINT_TIMERS

#define PRINT_TIMERS    {timer_group("END", "END", 1);}

Print aggregated timer statistics.

Writes accumulated per-timer and per-group runtimes to the log.

See also
timer_group, SELECT_TIMER

Definition at line 1168 of file jurassic.h.

◆ TOK

#define TOK (   line,
  tok,
  format,
  var 
)
Value:
{ \
if(((tok)=strtok((line), " \t"))) { \
if(sscanf(tok, format, &(var))!=1) continue; \
} else ERRMSG("Error while reading!"); \
}
#define ERRMSG(...)
Print an error message with contextual information and terminate the program.
Definition: jurassic.h:1325

Tokenize a string and parse a variable.

Splits a text line into tokens separated by spaces or tabs, and reads a value from the first token using sscanf() and the provided format. If tokenization or parsing fails, an error message is printed.

Parameters
[in,out]lineInput string buffer to tokenize (modified by strtok()).
[out]tokPointer to token string.
[in]formatFormat string for sscanf().
[out]varVariable to store parsed value.
Note
Uses strtok() internally and modifies the input buffer.
See also
FREAD, FWRITE
Author
Lars Hoffmann

Definition at line 1189 of file jurassic.h.

◆ USAGE

#define USAGE
Value:
do { \
int iusage; \
for (iusage = 1; iusage < argc; iusage++) \
if (!strcmp(argv[iusage], "-h") \
|| !strcmp(argv[iusage], "--help")) { \
usage(); \
return EXIT_SUCCESS; \
} \
} while (0)

Print usage information on -h or --help.

Calls the local usage() function and exits successfully when any command argument is -h or --help.

Note
This macro expects local argc and argv variables and a local usage() function.
Author
Lars Hoffmann

Definition at line 1206 of file jurassic.h.

◆ LOGLEV

#define LOGLEV   2

Level of log messages (0=none, 1=basic, 2=detailed, 3=debug).

Definition at line 1223 of file jurassic.h.

◆ LOG

#define LOG (   level,
  ... 
)
Value:
{ \
if(level >= 2) \
printf(" "); \
if(level <= LOGLEV) { \
printf(__VA_ARGS__); \
printf("\n"); \
} \
}
#define LOGLEV
Level of log messages (0=none, 1=basic, 2=detailed, 3=debug).
Definition: jurassic.h:1223

Print a log message with a specified logging level.

This macro prints a formatted log message to the standard output if the specified logging level meets certain conditions. The message will be indented if the logging level is greater than or equal to 2.

Parameters
levelThe logging level of the message. This should be an integer value.
...The formatted message string and its arguments, similar to printf.

The LOG macro provides a simple way to log messages with different levels of importance. The message is only printed if the specified level is less than or equal to the pre-defined LOGLEV macro. If the level is greater than or equal to 2, the message is preceded by two spaces for indentation.

The macro expands to a block of code that:

  • Checks if the level is greater than or equal to 2, and if so, prints two spaces.
  • Checks if the level is less than or equal to LOGLEV, and if so, prints the formatted message followed by a newline.
Note
The LOGLEV macro must be defined with an appropriate logging level before using the LOG macro.
Author
Lars Hoffmann

Definition at line 1255 of file jurassic.h.

◆ WARN

#define WARN (   ...)
Value:
{ \
printf("\nWarning (%s, %s, l%d): ", __FILE__, __func__, __LINE__); \
LOG(0, __VA_ARGS__); \
}

Print a warning message with contextual information.

This macro prints a formatted warning message to the standard output, including the file name, function name, and line number where the warning occurred. The message is then passed to the LOG macro with a logging level of 0.

Parameters
...The formatted warning message string and its arguments, similar to printf.

The WARN macro is used to print warning messages with additional context about where the warning was triggered. The message includes the following contextual information:

  • The name of the source file where the macro is called (__FILE__).
  • The name of the function where the macro is called (__func__).
  • The line number in the source file where the macro is called (__LINE__).

After printing this contextual information, the macro uses the LOG macro with a logging level of 0 to print the actual warning message. This ensures that warning messages are always logged, regardless of the value of LOGLEV.

Note
The LOG macro must be defined before using the WARN macro.
Author
Lars Hoffmann

Definition at line 1292 of file jurassic.h.

◆ ERRMSG

#define ERRMSG (   ...)
Value:
{ \
printf("\nError (%s, %s, l%d): ", __FILE__, __func__, __LINE__); \
LOG(0, __VA_ARGS__); \
exit(EXIT_FAILURE); \
}

Print an error message with contextual information and terminate the program.

This macro prints a formatted error message to the standard output, including the file name, function name, and line number where the error occurred. After printing the message, the program is terminated with an exit status indicating failure.

Parameters
...The formatted error message string and its arguments, similar to printf.

The ERRMSG macro is used to report critical errors that require the program to terminate immediately. The message includes the following contextual information:

  • The name of the source file where the macro is called (__FILE__).
  • The name of the function where the macro is called (__func__).
  • The line number in the source file where the macro is called (__LINE__).

After printing this contextual information, the macro uses the LOG macro with a logging level of 0 to print the actual error message. Finally, the program exits with a failure status (EXIT_FAILURE).

Note
The LOG macro must be defined before using the ERRMSG macro.
Author
Lars Hoffmann

Definition at line 1325 of file jurassic.h.

◆ PRINT

#define PRINT (   format,
  var 
)
Value:
printf("Print (%s, %s, l%d): %s= "format"\n", \
__FILE__, __func__, __LINE__, #var, var);

Print the value of a variable with contextual information.

This macro prints the value of a variable to the standard output, including the file name, function name, and line number where the macro is called. The output also includes the variable's name and value in a formatted string.

Parameters
formatThe format string used to print the variable's value, similar to printf.
varThe variable to be printed.

The PRINT macro is used to output the value of a variable along with additional context about where the macro is called. The message includes:

  • The name of the source file where the macro is called (__FILE__).
  • The name of the function where the macro is called (__func__).
  • The line number in the source file where the macro is called (__LINE__).
  • The name of the variable being printed (#var).
  • The value of the variable, formatted according to the provided format string (format).

This macro is particularly useful for debugging purposes, providing a convenient way to trace variable values and their locations in the code.

Note
The format string must be compatible with the type of the variable being printed.
Author
Lars Hoffmann

Definition at line 1360 of file jurassic.h.

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:7313
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:6866
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:1375
double sfeps[NSF]
Surface emissivity.
Definition: jurassic.h:1417
double k[NW][NP]
Extinction [km^-1].
Definition: jurassic.h:1402
double t[NP]
Temperature [K].
Definition: jurassic.h:1396
double clz
Cloud layer height [km].
Definition: jurassic.h:1405
double cldz
Cloud layer depth [km].
Definition: jurassic.h:1408
double sft
Surface temperature [K].
Definition: jurassic.h:1414
double clk[NCL]
Cloud layer extinction [km^-1].
Definition: jurassic.h:1411
double q[NG][NP]
Volume mixing ratio [ppv].
Definition: jurassic.h:1399
double p[NP]
Pressure [hPa].
Definition: jurassic.h:1393
int nw
Number of spectral windows.
Definition: jurassic.h:1455
int ng
Number of emitters.
Definition: jurassic.h:1431
int ncl
Number of cloud layer spectral grid points.
Definition: jurassic.h:1461
int nsf
Number of surface layer spectral grid points.
Definition: jurassic.h:1467
char shared_io_atm_res_file[LEN]
Optional shared averaging-kernel resolution output file.
Definition: jurassic.h:1832
char shared_io_atm_cont_file[LEN]
Optional shared averaging-kernel contribution output file.
Definition: jurassic.h:1829
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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:1378
double z[NP]
Altitude [km].
Definition: jurassic.h:1384
double retp_zmin
Minimum altitude for pressure retrieval [km].
Definition: jurassic.h:1530
double retk_zmax[NW]
Maximum altitude for extinction retrieval [km].
Definition: jurassic.h:1551
double rett_zmax
Maximum altitude for temperature retrieval [km].
Definition: jurassic.h:1539
int ret_sfeps
Retrieve surface layer emissivity (0=no, 1=yes).
Definition: jurassic.h:1566
int ret_sft
Retrieve surface layer temperature (0=no, 1=yes).
Definition: jurassic.h:1563
int ret_clz
Retrieve cloud layer height (0=no, 1=yes).
Definition: jurassic.h:1554
double retq_zmax[NG]
Maximum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1545
double retq_zmin[NG]
Minimum altitude for volume mixing ratio retrieval [km].
Definition: jurassic.h:1542
double rett_zmin
Minimum altitude for temperature retrieval [km].
Definition: jurassic.h:1536
double retk_zmin[NW]
Minimum altitude for extinction retrieval [km].
Definition: jurassic.h:1548
int ret_clk
Retrieve cloud layer extinction (0=no, 1=yes).
Definition: jurassic.h:1560
int ret_cldz
Retrieve cloud layer depth (0=no, 1=yes).
Definition: jurassic.h:1557
double retp_zmax
Maximum altitude for pressure retrieval [km].
Definition: jurassic.h:1533
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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:973
#define RAD2DEG(rad)
Convert radians to degrees.
Definition: jurassic.h:1047

◆ 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:4517
#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
double time[NP]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1381
int ig_co2
Emitter index of CO2.
Definition: jurassic.h:1437
int ig_o2
Emitter index of O2.
Definition: jurassic.h:1446
int ig_n2
Emitter index of N2.
Definition: jurassic.h:1443
char emitter[NG][LEN]
Name of each emitter.
Definition: jurassic.h:1434
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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 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:1031

◆ 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:1390
double lon[NP]
Longitude [deg].
Definition: jurassic.h:1387

◆ 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:1449
double tau[ND][NR]
Transmittance of ray path.
Definition: jurassic.h:1693
double rad[ND][NR]
Radiance [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1696
double tplon[NR]
Tangent point longitude [deg].
Definition: jurassic.h:1687
double vpz[NR]
View point altitude [km].
Definition: jurassic.h:1675
double vplat[NR]
View point latitude [deg].
Definition: jurassic.h:1681
double obslon[NR]
Observer longitude [deg].
Definition: jurassic.h:1669
double obslat[NR]
Observer latitude [deg].
Definition: jurassic.h:1672
double obsz[NR]
Observer altitude [km].
Definition: jurassic.h:1666
double tplat[NR]
Tangent point latitude [deg].
Definition: jurassic.h:1690
double vplon[NR]
View point longitude [deg].
Definition: jurassic.h:1678
double time[NR]
Time (seconds since 2000-01-01T00:00Z).
Definition: jurassic.h:1663
double tpz[NR]
Tangent point altitude [km].
Definition: jurassic.h:1684
int nr
Number of ray paths.
Definition: jurassic.h:1660

◆ 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:3707
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:3903
#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:1452
int formod
Forward model (0=CGA, 1=EGA, 2=RFM).
Definition: jurassic.h:1575
int write_bbt
Use brightness temperature instead of radiance (0=no, 1=yes).
Definition: jurassic.h:1569
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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:1497
int ctm_n2
Compute N2 continuum (0=no, 1=yes).
Definition: jurassic.h:1503
int ctm_h2o
Compute H2O continuum (0=no, 1=yes).
Definition: jurassic.h:1500
int ctm_o2
Compute O2 continuum (0=no, 1=yes).
Definition: jurassic.h:1506
int ig_h2o
Emitter index of H2O.
Definition: jurassic.h:1440
double q[NLOS][NG]
Volume mixing ratio [ppv].
Definition: jurassic.h:1616
double ds[NLOS]
Segment length [km].
Definition: jurassic.h:1628
double u[NLOS][NG]
Column density [molecules/cm^2].
Definition: jurassic.h:1631
double k[NLOS][ND]
Extinction [km^-1].
Definition: jurassic.h:1619
double t[NLOS]
Temperature [K].
Definition: jurassic.h:1613
double p[NLOS]
Pressure [hPa].
Definition: jurassic.h:1610
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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:4487
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 MAX(a, b)
Determine the maximum of two values.
Definition: jurassic.h:666
char fov[LEN]
Field-of-view data file.
Definition: jurassic.h:1518
int fov_n
Field-of-view number of data points.
Definition: jurassic.h:1527
double fov_dz[NSHAPE]
Field-of-view vertical distance [km].
Definition: jurassic.h:1521
double fov_w[NSHAPE]
Field-of-view weighting factor.
Definition: jurassic.h:1524
Observation geometry and radiance data.
Definition: jurassic.h:1657
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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... */
3616 los->eps[ip][id] = 1 - tau_gas[id] * exp(-beta_ctm[id] * los->ds[ip]);
3617
3618 /* Compute radiance... */
3619 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau[id];
3620
3621 /* Compute path transmittance... */
3622 tau[id] *= (1 - los->eps[ip][id]);
3623 }
3624 }
3625
3626 /* Check whether LOS hit the ground... */
3627 if (ctl->sftype >= 1 && los->sft > 0) {
3628
3629 /* Add surface emissions... */
3630 double src_sf[ND];
3631 formod_srcfunc(ctl, tbl, los->sft, src_sf);
3632 for (int id = 0; id < ctl->nd; id++)
3633 rad[id] += los->sfeps[id] * src_sf[id] * tau[id];
3634
3635 /* Check reflectivity... */
3636 int refl = 0;
3637 if (ctl->sftype >= 2)
3638 for (int id = 0; id < ctl->nd; id++)
3639 if (los->sfeps[id] < 1) {
3640 refl = 1;
3641 break;
3642 }
3643
3644 /* Calculate reflection... */
3645 if (refl) {
3646
3647 /* Initialize... */
3648 double tau_refl[ND];
3649 for (int id = 0; id < ctl->nd; id++)
3650 tau_refl[id] = 1;
3651
3652 /* Add down-welling radiance... */
3653 for (int ip = los->np - 1; ip >= 0; ip--)
3654 for (int id = 0; id < ctl->nd; id++) {
3655 rad[id] += los->src[ip][id] * los->eps[ip][id] * tau_refl[id]
3656 * tau[id] * (1 - los->sfeps[id]);
3657 tau_refl[id] *= (1 - los->eps[ip][id]);
3658 }
3659
3660 /* Add solar term... */
3661 if (ctl->sftype >= 3) {
3662
3663 /* Get cosine of solar zenith angle... */
3664 double cos_sza_val;
3665 if (ctl->sfsza < 0)
3666 cos_sza_val = cos_sza(obs->time[ir],
3667 los->lon[los->np - 1], los->lat[los->np - 1]);
3668 else
3669 cos_sza_val = cos(DEG2RAD(ctl->sfsza));
3670
3671 /* Check validity (avoid division by zero)... */
3672 if (cos_sza_val > 1e-6) {
3673
3674 /* Compute incidence direction cosine... */
3675 double x0[3], x1[3];
3676 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
3677 los->lat[los->np - 1], x0);
3678 geo2cart(los->z[0], los->lon[0], los->lat[0], x1);
3679 for (int i = 0; i < 3; i++)
3680 x1[i] -= x0[i];
3681 const double cosa = DOTP(x0, x1) / NORM(x0) / NORM(x1);
3682
3683 /* Ratio of incident direction to solar zenith direction... */
3684 const double rcos = cosa / cos_sza_val;
3685
3686 /* Add solar radiance contribution... */
3687 for (int id = 0; id < ctl->nd; id++)
3688 rad[id] += 6.764e-5 / (2. * M_PI) * PLANCK(TSUN, ctl->nu[id])
3689 * tau_refl[id] * (1 - los->sfeps[id]) * tau[id] * rcos;
3690 }
3691 }
3692 }
3693 }
3694
3695 /* Copy results... */
3696 for (int id = 0; id < ctl->nd; id++) {
3697 obs->rad[id][ir] = rad[id];
3698 obs->tau[id][ir] = tau[id];
3699 }
3700
3701 /* Free... */
3702 free(los);
3703}
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:4167
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:4971
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:4074
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:3868
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:3885
#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:1004
double sfsza
Solar zenith angle at the surface [deg] (-999=auto).
Definition: jurassic.h:1476
int sftype
Surface treatment (0=none, 1=emissions, 2=downward, 3=solar).
Definition: jurassic.h:1473
Line-of-sight data.
Definition: jurassic.h:1595
double z[NLOS]
Altitude [km].
Definition: jurassic.h:1601
double eps[NLOS][ND]
Segment emissivity.
Definition: jurassic.h:1643
double sft
Surface temperature [K].
Definition: jurassic.h:1622
double lon[NLOS]
Longitude [deg].
Definition: jurassic.h:1604
int np
Number of LOS points.
Definition: jurassic.h:1598
double lat[NLOS]
Latitude [deg].
Definition: jurassic.h:1607
double src[NLOS][ND]
Segment source function [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1646
double sfeps[ND]
Surface emissivity.
Definition: jurassic.h:1625
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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 3707 of file jurassic.c.

3711 {
3712
3713 los_t *los;
3714
3715 char cmd[2 * LEN], rfmflg[LEN] = { "RAD TRA MIX LIN SFC" };
3716
3717 double f[NSHAPE], nu[NSHAPE], nu0, nu1, obsz = -999, tsurf,
3718 xd[3], xo[3], xv[3], z[NR], zmin, zmax;
3719
3720 int n, nadir = 0, zenith = 0;
3721
3722 /* Allocate... */
3723 ALLOC(los, los_t, 1);
3724
3725 /* Check observer positions... */
3726 for (int ir = 1; ir < obs->nr; ir++)
3727 if (obs->obsz[ir] != obs->obsz[0]
3728 || obs->obslon[ir] != obs->obslon[0]
3729 || obs->obslat[ir] != obs->obslat[0])
3730 ERRMSG("RFM interface requires identical observer positions!");
3731
3732 /* Check extinction data... */
3733 for (int iw = 0; iw < ctl->nw; iw++)
3734 for (int ip = 0; ip < atm->np; ip++)
3735 if (atm->k[iw][ip] != 0)
3736 ERRMSG("RFM interface cannot handle extinction data!");
3737
3738 /* Get altitude range of atmospheric data... */
3739 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
3740
3741 /* Observer within atmosphere? */
3742 if (obs->obsz[0] >= zmin && obs->obsz[0] <= zmax) {
3743 obsz = obs->obsz[0];
3744 strcat(rfmflg, " OBS");
3745 }
3746
3747 /* Determine tangent altitude or air mass factor... */
3748 for (int ir = 0; ir < obs->nr; ir++) {
3749
3750 /* Raytracing... */
3751 raytrace(ctl, atm, obs, los, ir);
3752
3753 /* Nadir or zenith? (air mass factor / secant of zenith angle) */
3754 if (obs->tpz[ir] <= zmin) {
3755
3756 /* Nadir: path intersects the surface. */
3757 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3758 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3759 for (int i = 0; i < 3; i++)
3760 xd[i] = xo[i] - xv[i];
3761 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3762 nadir++;
3763
3764 } else if (obs->tpz[ir] >= zmax - 1e-3 && obs->vpz[ir] > obs->obsz[ir]) {
3765
3766 /* Zenith: upward-looking path leaves the atmosphere at the top boundary. */
3767 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xo);
3768 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xv);
3769 for (int i = 0; i < 3; i++)
3770 xd[i] = xv[i] - xo[i];
3771 z[ir] = NORM(xo) * NORM(xd) / DOTP(xo, xd);
3772 zenith++;
3773
3774 } else
3775 /* Limb: use tangent altitude. */
3776 z[ir] = obs->tpz[ir];
3777 }
3778 if ((nadir > 0 && nadir < obs->nr)
3779 || (zenith > 0 && zenith < obs->nr)
3780 || (nadir > 0 && zenith > 0))
3781 ERRMSG("Limb, nadir, and zenith not simultaneously possible!");
3782
3783 /* Viewing geometry... */
3784 if (nadir)
3785 strcat(rfmflg, " NAD");
3786 if (zenith)
3787 strcat(rfmflg, " ZEN");
3788
3789 /* Get surface temperature... */
3790 tsurf = atm->t[gsl_stats_min_index(atm->z, 1, (size_t) atm->np)];
3791
3792 /* Refraction? */
3793 if (!nadir && !zenith && !ctl->refrac)
3794 strcat(rfmflg, " GEO");
3795
3796 /* Continua? */
3797 if (ctl->ctm_co2 || ctl->ctm_h2o || ctl->ctm_n2 || ctl->ctm_o2)
3798 strcat(rfmflg, " CTM");
3799
3800 /* Write atmospheric data file... */
3801 write_atm_rfm("rfm.atm", ctl, atm);
3802
3803 /* Loop over channels... */
3804 for (int id = 0; id < ctl->nd; id++) {
3805
3806 /* Get filter function from lookup table... */
3807 n = tbl->filt_n[id];
3808 if (n <= 0 || n > NSHAPE)
3809 ERRMSG("Missing or invalid filter function in lookup table!");
3810 memcpy(nu, tbl->filt_nu[id], (size_t) n * sizeof(double));
3811 memcpy(f, tbl->filt_f[id], (size_t) n * sizeof(double));
3812
3813 /* Set spectral range... */
3814 nu0 = nu[0];
3815 nu1 = nu[n - 1];
3816
3817 /* Create RFM driver file... */
3818 FILE *out;
3819 if (!(out = fopen("rfm.drv", "w")))
3820 ERRMSG("Cannot create file!");
3821 fprintf(out, "*HDR\nRFM call by JURASSIC.\n");
3822 fprintf(out, "*FLG\n%s\n", rfmflg);
3823 fprintf(out, "*SPC\n%.4f %.4f 0.0005\n", nu0, nu1);
3824 fprintf(out, "*GAS\n");
3825 for (int ig = 0; ig < ctl->ng; ig++)
3826 fprintf(out, "%s\n", ctl->emitter[ig]);
3827 fprintf(out, "*ATM\nrfm.atm\n");
3828 fprintf(out, "*TAN\n");
3829 for (int ir = 0; ir < obs->nr; ir++)
3830 fprintf(out, "%g\n", z[ir]);
3831 fprintf(out, "*SFC\n%g 1.0\n", tsurf);
3832 if (obsz >= 0)
3833 fprintf(out, "*OBS\n%g\n", obsz);
3834 fprintf(out, "*HIT\n%s\n", ctl->rfmhit);
3835 fprintf(out, "*XSC\n");
3836 for (int ig = 0; ig < ctl->ng; ig++)
3837 if (ctl->rfmxsc[ig][0] != '-')
3838 fprintf(out, "%s\n", ctl->rfmxsc[ig]);
3839 fprintf(out, "*END\n");
3840 fclose(out);
3841
3842 /* Remove temporary files... */
3843 if (system("rm -f rfm.runlog rad_*.asc tra_*.asc"))
3844 ERRMSG("Cannot remove temporary files!");
3845
3846 /* Call RFM... */
3847 sprintf(cmd, "echo | %s", ctl->rfmbin);
3848 if (system(cmd))
3849 ERRMSG("Error while calling RFM!");
3850
3851 /* Read data... */
3852 for (int ir = 0; ir < obs->nr; ir++) {
3853 obs->rad[id][ir] = read_obs_rfm("rad", z[ir], nu, f, n) * 1e-5;
3854 obs->tau[id][ir] = read_obs_rfm("tra", z[ir], nu, f, n);
3855 }
3856 }
3857
3858 /* Remove temporary files... */
3859 if (system("rm -f rfm.drv rfm.atm rfm.runlog rad_*.asc tra_*.asc"))
3860 ERRMSG("Error while removing temporary files!");
3861
3862 /* Free... */
3863 free(los);
3864}
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:6092
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:7722
#define NSHAPE
Maximum number of shape function grid points.
Definition: jurassic.h:328
char rfmhit[LEN]
HITRAN file for RFM.
Definition: jurassic.h:1581
char rfmbin[LEN]
Path to RFM binary.
Definition: jurassic.h:1578
char rfmxsc[NG][LEN]
Emitter cross-section files for RFM.
Definition: jurassic.h:1584
int refrac
Take into account refractivity (0=no, 1=yes).
Definition: jurassic.h:1509
int filt_n[ND]
Filter function number of spectral grid points.
Definition: jurassic.h:1869
double filt_f[ND][NSHAPE]
Filter function values.
Definition: jurassic.h:1875
double filt_nu[ND][NSHAPE]
Filter function spectral grid points [cm^-1].
Definition: jurassic.h:1872
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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 3868 of file jurassic.c.

3872 {
3873
3874 /* Determine index in temperature array... */
3875 const int it = locate_reg(tbl->st, TBLNS, t);
3876
3877 /* Interpolate Planck function value... */
3878 for (int id = 0; id < ctl->nd; id++)
3879 src[id] = LIN(tbl->st[it], tbl->sr[it][id],
3880 tbl->st[it + 1], tbl->sr[it + 1][id], t);
3881}
#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:1881
double st[TBLNS]
Source function temperature [K].
Definition: jurassic.h:1878
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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 3885 of file jurassic.c.

3889 {
3890
3891 const double radius = z + RE;
3892 const double latrad = lat / 180. * M_PI;
3893 const double lonrad = lon / 180. * M_PI;
3894 const double coslat = cos(latrad);
3895
3896 x[0] = radius * coslat * cos(lonrad);
3897 x[1] = radius * coslat * sin(lonrad);
3898 x[2] = radius * sin(latrad);
3899}

◆ 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 3903 of file jurassic.c.

3905 {
3906
3907 const double mmair = 28.96456e-3, mmh2o = 18.0153e-3;
3908
3909 const int ipts = 20;
3910
3911 double dzmin = 1e99, e = 0;
3912
3913 int ipref = 0;
3914
3915 /* Check reference height... */
3916 if (ctl->hydz < 0)
3917 return;
3918
3919 /* Find air parcel next to reference height... */
3920 for (int ip = 0; ip < atm->np; ip++)
3921 if (fabs(atm->z[ip] - ctl->hydz) < dzmin) {
3922 dzmin = fabs(atm->z[ip] - ctl->hydz);
3923 ipref = ip;
3924 }
3925
3926 /* Upper part of profile... */
3927 for (int ip = ipref + 1; ip < atm->np; ip++) {
3928 double mean = 0;
3929 for (int i = 0; i < ipts; i++) {
3930 if (ctl->ig_h2o >= 0)
3931 e = LIN(0.0, atm->q[ctl->ig_h2o][ip - 1],
3932 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3933 mean += (e * mmh2o + (1 - e) * mmair)
3934 * G0 / RI
3935 / LIN(0.0, atm->t[ip - 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3936 }
3937
3938 /* Compute p(z,T)... */
3939 atm->p[ip] =
3940 exp(log(atm->p[ip - 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip - 1]));
3941 }
3942
3943 /* Lower part of profile... */
3944 for (int ip = ipref - 1; ip >= 0; ip--) {
3945 double mean = 0;
3946 for (int i = 0; i < ipts; i++) {
3947 if (ctl->ig_h2o >= 0)
3948 e = LIN(0.0, atm->q[ctl->ig_h2o][ip + 1],
3949 ipts - 1.0, atm->q[ctl->ig_h2o][ip], (double) i);
3950 mean += (e * mmh2o + (1 - e) * mmair)
3951 * G0 / RI
3952 / LIN(0.0, atm->t[ip + 1], ipts - 1.0, atm->t[ip], (double) i) / ipts;
3953 }
3954
3955 /* Compute p(z,T)... */
3956 atm->p[ip] =
3957 exp(log(atm->p[ip + 1]) - mean * 1000 * (atm->z[ip] - atm->z[ip + 1]));
3958 }
3959}
#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:1494

◆ 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 3963 of file jurassic.c.

3966 {
3967
3968 if (idx == IDXP)
3969 sprintf(quantity, "PRESSURE");
3970
3971 if (idx == IDXT)
3972 sprintf(quantity, "TEMPERATURE");
3973
3974 for (int ig = 0; ig < ctl->ng; ig++)
3975 if (idx == IDXQ(ig))
3976 sprintf(quantity, "%s", ctl->emitter[ig]);
3977
3978 for (int iw = 0; iw < ctl->nw; iw++)
3979 if (idx == IDXK(iw))
3980 sprintf(quantity, "EXTINCT_WINDOW_%d", iw);
3981
3982 if (idx == IDXCLZ)
3983 sprintf(quantity, "CLOUD_HEIGHT");
3984
3985 if (idx == IDXCLDZ)
3986 sprintf(quantity, "CLOUD_DEPTH");
3987
3988 for (int icl = 0; icl < ctl->ncl; icl++)
3989 if (idx == IDXCLK(icl))
3990 sprintf(quantity, "CLOUD_EXTINCT_%.4f", ctl->clnu[icl]);
3991
3992 if (idx == IDXSFT)
3993 sprintf(quantity, "SURFACE_TEMPERATURE");
3994
3995 for (int isf = 0; isf < ctl->nsf; isf++)
3996 if (idx == IDXSFEPS(isf))
3997 sprintf(quantity, "SURFACE_EMISSIVITY_%.4f", ctl->sfnu[isf]);
3998}
double sfnu[NSF]
Surface layer wavenumber [cm^-1].
Definition: jurassic.h:1470
double clnu[NCL]
Cloud layer wavenumber [cm^-1].
Definition: jurassic.h:1464

◆ 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 4002 of file jurassic.c.

4004 {
4005
4006 /* Write info... */
4007 LOG(1, "Initialize source function table...");
4008 LOG(2, "Number of data points: %d", TBLNS);
4009
4010 /* Loop over channels... */
4011 for (int id = 0; id < ctl->nd; id++) {
4012
4013 /* Get minimum grid spacing... */
4014 double dnu = 1.0;
4015 for (int i = 1; i < tbl->filt_n[id]; i++)
4016 dnu = MIN(dnu, tbl->filt_nu[id][i] - tbl->filt_nu[id][i - 1]);
4017
4018 /* Compute source function table... */
4019#pragma omp parallel for default(none) shared(ctl,tbl,id,dnu)
4020 for (int it = 0; it < TBLNS; it++) {
4021
4022 /* Set temperature... */
4023 tbl->st[it] = LIN(0.0, TMIN, TBLNS - 1.0, TMAX, (double) it);
4024
4025 /* Integrate Planck function... */
4026 double fsum = tbl->sr[it][id] = 0;
4027 for (double fnu = tbl->filt_nu[id][0];
4028 fnu <= tbl->filt_nu[id][tbl->filt_n[id] - 1]; fnu += dnu) {
4029 const int i = locate_irr(tbl->filt_nu[id], tbl->filt_n[id], fnu);
4030 const double ff = LIN(tbl->filt_nu[id][i], tbl->filt_f[id][i],
4031 tbl->filt_nu[id][i + 1], tbl->filt_f[id][i + 1],
4032 fnu);
4033 fsum += ff;
4034 tbl->sr[it][id] += ff * PLANCK(tbl->st[it], fnu);
4035 }
4036 tbl->sr[it][id] /= fsum;
4037 }
4038
4039 /* Write info... */
4040 LOG(2,
4041 "channel= %.4f cm^-1 | T= %g ... %g K | B= %g ... %g W/(m^2 sr cm^-1)",
4042 ctl->nu[id], tbl->st[0], tbl->st[TBLNS - 1], tbl->sr[0][id],
4043 tbl->sr[TBLNS - 1][id]);
4044 }
4045}
#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 4049 of file jurassic.c.

4056 {
4057
4058 /* Get array index... */
4059 const int ip = locate_irr(atm->z, atm->np, z);
4060
4061 /* Interpolate... */
4062 *p = LOGY(atm->z[ip], atm->p[ip], atm->z[ip + 1], atm->p[ip + 1], z);
4063 *t = LIN(atm->z[ip], atm->t[ip], atm->z[ip + 1], atm->t[ip + 1], z);
4064 for (int ig = 0; ig < ctl->ng; ig++)
4065 q[ig] =
4066 LIN(atm->z[ip], atm->q[ig][ip], atm->z[ip + 1], atm->q[ig][ip + 1], z);
4067 for (int iw = 0; iw < ctl->nw; iw++)
4068 k[iw] =
4069 LIN(atm->z[ip], atm->k[iw][ip], atm->z[ip + 1], atm->k[iw][ip + 1], z);
4070}
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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 4074 of file jurassic.c.

4080 {
4081
4082 double eps, lnp[NG];
4083
4084 /* Precompute log-pressure... */
4085 for (int ig = 0; ig < ctl->ng; ig++)
4086 lnp[ig] = log(los->cgp[ip][ig]);
4087
4088 /* Loop over channels... */
4089 for (int id = 0; id < ctl->nd; id++) {
4090
4091 /* Initialize... */
4092 tau_seg[id] = 1;
4093
4094 /* Loop over emitters.... */
4095 for (int ig = 0; ig < ctl->ng; ig++) {
4096
4097 /* Check size of table (pressure) and column density... */
4098 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4099 eps = 0;
4100
4101 /* Check transmittance... */
4102 else if (tau_path[id][ig] < 1e-9)
4103 eps = 1;
4104
4105 /* Interpolate... */
4106 else {
4107
4108 /* Determine pressure and temperature indices... */
4109 const int ipr =
4110 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->cgp[ip][ig]);
4111 const int it0 = locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr],
4112 los->cgt[ip][ig]);
4113 const int it1 =
4114 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4115 los->cgt[ip][ig]);
4116
4117 /* Check size of table (temperature and column density)... */
4118 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4119 || tbl->nu[id][ig][ipr][it0] < 2
4120 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4121 || tbl->nu[id][ig][ipr + 1][it1] < 2
4122 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4123 eps = 0;
4124
4125 else {
4126
4127 /* Get emissivities of extended path... */
4128 const double logu = log(los->cgu[ip][ig]);
4129 double eps00 = intpol_tbl_eps(tbl, ig, id, ipr, it0, logu);
4130 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1, logu);
4131 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1, logu);
4132 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1, logu);
4133
4134 /* Interpolate with respect to temperature... */
4135 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4136 tbl->t[id][ig][ipr][it0 + 1], eps01, los->cgt[ip][ig]);
4137 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4138 tbl->t[id][ig][ipr + 1][it1 + 1],
4139 eps11, los->cgt[ip][ig]);
4140
4141 /* Interpolate with respect to log-pressure... */
4142 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4143 tbl->lnp[id][ig][ipr + 1], eps11, lnp[ig]);
4144
4145 /* Check emissivity range... */
4146 eps00 = CLAMP(eps00, 0, 1);
4147
4148 /* Determine segment emissivity... */
4149 eps = 1 - (1 - eps00) / tau_path[id][ig];
4150
4151 /* Check emissivity range... */
4152 eps = CLAMP(eps, 0, 1);
4153 }
4154 }
4155
4156 /* Get transmittance of extended path... */
4157 tau_path[id][ig] *= (1 - eps);
4158
4159 /* Get segment transmittance... */
4160 tau_seg[id] *= (1 - eps);
4161 }
4162 }
4163}
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:4269
#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:1640
double cgt[NLOS][NG]
Curtis-Godson temperature [K].
Definition: jurassic.h:1637
double cgp[NLOS][NG]
Curtis-Godson pressure [hPa].
Definition: jurassic.h:1634
double p[ND][NG][TBLNP]
Pressure [hPa].
Definition: jurassic.h:1854
int nu[ND][NG][TBLNP][TBLNT]
Number of column densities.
Definition: jurassic.h:1851
int nt[ND][NG][TBLNP]
Number of temperatures.
Definition: jurassic.h:1848
double t[ND][NG][TBLNP][TBLNT]
Temperature [K].
Definition: jurassic.h:1860
double lnp[ND][NG][TBLNP]
Log-pressure [hPa].
Definition: jurassic.h:1857
int np[ND][NG]
Number of pressure levels.
Definition: jurassic.h:1845
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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 4167 of file jurassic.c.

4173 {
4174
4175 const double lnp = log(los->p[ip]);
4176
4177 double eps, u;
4178
4179 /* Loop over channels... */
4180 for (int id = 0; id < ctl->nd; id++) {
4181
4182 /* Initialize... */
4183 tau_seg[id] = 1;
4184
4185 /* Loop over emitters.... */
4186 for (int ig = 0; ig < ctl->ng; ig++) {
4187
4188 /* Check size of table (pressure) and column density... */
4189 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4190 eps = 0;
4191
4192 /* Check transmittance... */
4193 else if (tau_path[id][ig] < 1e-9)
4194 eps = 1;
4195
4196 /* Interpolate... */
4197 else {
4198
4199 /* Determine pressure and temperature indices... */
4200 const int ipr =
4201 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->p[ip]);
4202 const int it0 =
4203 locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr], los->t[ip]);
4204 const int it1 =
4205 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4206 los->t[ip]);
4207
4208 /* Check size of table (temperature and column density)... */
4209 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4210 || tbl->nu[id][ig][ipr][it0] < 2
4211 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4212 || tbl->nu[id][ig][ipr + 1][it1] < 2
4213 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4214 eps = 0;
4215
4216 else {
4217
4218 /* Get emissivities of extended path... */
4219 const double logeps = log(1.0 - tau_path[id][ig]);
4220
4221 u = intpol_tbl_u(tbl, ig, id, ipr, it0, logeps);
4222 double eps00
4223 = intpol_tbl_eps(tbl, ig, id, ipr, it0, log(u + los->u[ip][ig]));
4224
4225 u = intpol_tbl_u(tbl, ig, id, ipr, it0 + 1, logeps);
4226 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1,
4227 log(u + los->u[ip][ig]));
4228
4229 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1, logeps);
4230 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1,
4231 log(u + los->u[ip][ig]));
4232
4233 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1 + 1, logeps);
4234 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1,
4235 log(u + los->u[ip][ig]));
4236
4237 /* Interpolate with respect to temperature... */
4238 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4239 tbl->t[id][ig][ipr][it0 + 1], eps01, los->t[ip]);
4240 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4241 tbl->t[id][ig][ipr + 1][it1 + 1], eps11, los->t[ip]);
4242
4243 /* Interpolate with respect to log-pressure... */
4244 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4245 tbl->lnp[id][ig][ipr + 1], eps11, lnp);
4246
4247 /* Check emissivity range... */
4248 eps00 = CLAMP(eps00, 0, 1);
4249
4250 /* Determine segment emissivity... */
4251 eps = 1 - (1 - eps00) / tau_path[id][ig];
4252
4253 /* Check emissivity range... */
4254 eps = CLAMP(eps, 0, 1);
4255 }
4256 }
4257
4258 /* Get transmittance of extended path... */
4259 tau_path[id][ig] *= (1 - eps);
4260
4261 /* Get segment transmittance... */
4262 tau_seg[id] *= (1 - eps);
4263 }
4264 }
4265}
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:4314
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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 4269 of file jurassic.c.

4275 {
4276
4277 const int nu = tbl->nu[id][ig][ip][it];
4278 const float *logu_arr = tbl->logu[id][ig][ip][it];
4279 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4280
4281 /* Work in log-space and only convert back when needed... */
4282 const double logu_min = (double) logu_arr[0];
4283 const double logu_max = (double) logu_arr[nu - 1];
4284
4285 /* Lower boundary extrapolation (u < u_min)...
4286 eps ~ eps_min * u/u_min => log(eps) = logeps_min + log(u) - log(u_min) */
4287 if (logu < logu_min) {
4288 const double logeps_min = (double) logeps_arr[0];
4289 return exp(logeps_min + logu - logu_min);
4290 }
4291
4292 /* Upper boundary extrapolation (u > u_max)...
4293 * Assume eps(u) approaches 1 exponentially:
4294 * eps(u) = 1 - exp(a * u), a < 0
4295 * Continuity at (u_max, eps_max) gives
4296 * a = log(1 - eps_max) / u_max.
4297 * Use log1p/expm1 and u/u_max = exp(log(u) - log(u_max)) for stability.
4298 */
4299 if (logu > logu_max) {
4300 const double eps_max = exp((double) logeps_arr[nu - 1]);
4301 const double l1m_eps_max = log1p(-eps_max);
4302 const double r = exp(logu - logu_max);
4303 return -expm1(l1m_eps_max * r);
4304 }
4305
4306 /* Interpolation (log-log using precomputed logs)... */
4307 const int idx = locate_tbl(logu_arr, nu, logu);
4308 return exp(LIN(logu_arr[idx], logeps_arr[idx],
4309 logu_arr[idx + 1], logeps_arr[idx + 1], logu));
4310}
int locate_tbl(const float *xx, const int n, const double x)
Locate index for interpolation within emissivity table grids.
Definition: jurassic.c:4536
float * logu[ND][NG][TBLNP][TBLNT]
Logarithm of column density [molecules/cm^2].
Definition: jurassic.h:1863
float * logeps[ND][NG][TBLNP][TBLNT]
Logarithm of emissivity.
Definition: jurassic.h:1866
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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 4314 of file jurassic.c.

4320 {
4321
4322 const int nu = tbl->nu[id][ig][ip][it];
4323 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4324 const float *logu_arr = tbl->logu[id][ig][ip][it];
4325
4326 /* Work in log-space and only convert back when needed.... */
4327 const double logeps_min = (double) logeps_arr[0];
4328 const double logeps_max = (double) logeps_arr[nu - 1];
4329
4330 /* Lower boundary extrapolation (eps < eps_min)...
4331 u ~ u_min * eps/eps_min => log(u) = log(u_min) + log(eps) - log(eps_min) */
4332 if (logeps < logeps_min) {
4333 const double logu_min = (double) logu_arr[0];
4334 return exp(logu_min + logeps - logeps_min);
4335 }
4336
4337 /* Upper boundary extrapolation (eps > eps_max):
4338 * Invert the exponential tail used for eps(u):
4339 * u = log(1 - eps) / a,
4340 * with a = log(1 - eps_max) / u_max.
4341 * Rewritten as
4342 * u = u_max * log(tau) / log(1 - eps_max)
4343 * for numerical stability (log1p).
4344 */
4345 if (logeps > logeps_max) {
4346 const double u_max = exp((double) logu_arr[nu - 1]);
4347 const double l1m_eps_max = log1p(-exp(logeps_max));
4348 const double logtau = log1p(-exp(logeps));
4349 return u_max * (logtau / l1m_eps_max);
4350 }
4351
4352 /* Interpolation (log-log using precomputed logs)... */
4353 const int idx = locate_tbl(logeps_arr, nu, logeps);
4354 return exp(LIN(logeps_arr[idx], logu_arr[idx],
4355 logeps_arr[idx + 1], logu_arr[idx + 1], logeps));
4356}
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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 4360 of file jurassic.c.

4368 {
4369
4370 struct tm t0, *t1;
4371
4372 t0.tm_year = 100;
4373 t0.tm_mon = 0;
4374 t0.tm_mday = 1;
4375 t0.tm_hour = 0;
4376 t0.tm_min = 0;
4377 t0.tm_sec = 0;
4378
4379 const time_t jsec0 = (time_t) jsec + timegm(&t0);
4380 t1 = gmtime(&jsec0);
4381
4382 *year = t1->tm_year + 1900;
4383 *mon = t1->tm_mon + 1;
4384 *day = t1->tm_mday;
4385 *hour = t1->tm_hour;
4386 *min = t1->tm_min;
4387 *sec = t1->tm_sec;
4388 *remain = jsec - floor(jsec);
4389}

◆ 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 4393 of file jurassic.c.

4398 {
4399
4400 /* Get sizes... */
4401 const size_t m = k->size1;
4402 const size_t n = k->size2;
4403
4404 /* Allocate... */
4405 gsl_vector *x0 = gsl_vector_alloc(n);
4406 gsl_vector *yy0 = gsl_vector_alloc(m);
4407 int *iqa;
4408 ALLOC(iqa, int,
4409 N);
4410
4411 /* Compute radiance for undisturbed atmospheric data... */
4412 formod(ctl, tbl, atm, obs);
4413
4414 /* Compose vectors... */
4415 atm2x(ctl, atm, x0, iqa, NULL);
4416 obs2y(ctl, obs, yy0, NULL, NULL);
4417
4418 /* Initialize kernel matrix... */
4419 gsl_matrix_set_zero(k);
4420
4421 /* Loop over state vector elements... */
4422#pragma omp parallel for default(none) shared(ctl,tbl,atm,obs,k,x0,yy0,n,m,iqa)
4423 for (size_t j = 0; j < n; j++) {
4424
4425 /* Allocate... */
4426 atm_t *atm1;
4427 obs_t *obs1;
4428 ALLOC(atm1, atm_t, 1);
4429 ALLOC(obs1, obs_t, 1);
4430 gsl_vector *x1 = gsl_vector_alloc(n);
4431 gsl_vector *yy1 = gsl_vector_alloc(m);
4432
4433 /* Set perturbation size... */
4434 double h;
4435 if (iqa[j] == IDXP)
4436 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-7);
4437 else if (iqa[j] == IDXT)
4438 h = 1.0;
4439 else if (iqa[j] >= IDXQ(0) && iqa[j] < IDXQ(ctl->ng))
4440 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-15);
4441 else if (iqa[j] >= IDXK(0) && iqa[j] < IDXK(ctl->nw))
4442 h = 1e-4;
4443 else if (iqa[j] == IDXCLZ || iqa[j] == IDXCLDZ)
4444 h = 1.0;
4445 else if (iqa[j] >= IDXCLK(0) && iqa[j] < IDXCLK(ctl->ncl))
4446 h = 1e-4;
4447 else if (iqa[j] == IDXSFT)
4448 h = 1.0;
4449 else if (iqa[j] >= IDXSFEPS(0) && iqa[j] < IDXSFEPS(ctl->nsf))
4450 h = 1e-2;
4451 else
4452 ERRMSG("Cannot set perturbation size!");
4453
4454 /* Disturb state vector element... */
4455 gsl_vector_memcpy(x1, x0);
4456 gsl_vector_set(x1, j, gsl_vector_get(x1, j) + h);
4457 copy_atm(ctl, atm1, atm, 0);
4458 copy_obs(ctl, obs1, obs, 0);
4459 x2atm(ctl, x1, atm1);
4460
4461 /* Compute radiance for disturbed atmospheric data... */
4462 formod(ctl, tbl, atm1, obs1);
4463
4464 /* Compose measurement vector for disturbed radiance data... */
4465 obs2y(ctl, obs1, yy1, NULL, NULL);
4466
4467 /* Compute derivatives... */
4468 for (size_t i = 0; i < m; i++)
4469 gsl_matrix_set(k, i, j,
4470 (gsl_vector_get(yy1, i) - gsl_vector_get(yy0, i)) / h);
4471
4472 /* Free... */
4473 gsl_vector_free(x1);
4474 gsl_vector_free(yy1);
4475 free(atm1);
4476 free(obs1);
4477 }
4478
4479 /* Free... */
4480 gsl_vector_free(x0);
4481 gsl_vector_free(yy0);
4482 free(iqa);
4483}
void x2atm(const ctl_t *ctl, const gsl_vector *x, atm_t *atm)
Map retrieval state vector back to atmospheric structure.
Definition: jurassic.c:8920
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:4633
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 4487 of file jurassic.c.

4490 {
4491
4492 int ilo = 0;
4493 int ihi = n - 1;
4494 int i = (ihi + ilo) >> 1;
4495
4496 if (xx[i] < xx[i + 1])
4497 while (ihi > ilo + 1) {
4498 i = (ihi + ilo) >> 1;
4499 if (xx[i] > x)
4500 ihi = i;
4501 else
4502 ilo = i;
4503 } else
4504 while (ihi > ilo + 1) {
4505 i = (ihi + ilo) >> 1;
4506 if (xx[i] <= x)
4507 ihi = i;
4508 else
4509 ilo = i;
4510 }
4511
4512 return ilo;
4513}

◆ 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 4517 of file jurassic.c.

4520 {
4521
4522 /* Calculate index... */
4523 const int i = (int) ((x - xx[0]) / (xx[1] - xx[0]));
4524
4525 /* Check range... */
4526 if (i < 0)
4527 return 0;
4528 else if (i > n - 2)
4529 return n - 2;
4530 else
4531 return i;
4532}

◆ 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 4536 of file jurassic.c.

4539 {
4540
4541 int ilo = 0;
4542 int ihi = n - 1;
4543 int i = (ihi + ilo) >> 1;
4544
4545 while (ihi > ilo + 1) {
4546 i = (ihi + ilo) >> 1;
4547 if (xx[i] > x)
4548 ihi = i;
4549 else
4550 ilo = i;
4551 }
4552
4553 return ilo;
4554}

◆ 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 4558 of file jurassic.c.

4559 {
4560
4561 size_t diag = 1;
4562
4563 /* Get size... */
4564 const size_t n = a->size1;
4565
4566 /* Check if matrix is diagonal... */
4567 for (size_t i = 0; i < n && diag; i++)
4568 for (size_t j = i + 1; j < n; j++)
4569 if (gsl_matrix_get(a, i, j) != 0) {
4570 diag = 0;
4571 break;
4572 }
4573
4574 /* Quick inversion of diagonal matrix... */
4575 if (diag)
4576 for (size_t i = 0; i < n; i++)
4577 gsl_matrix_set(a, i, i, 1 / gsl_matrix_get(a, i, i));
4578
4579 /* Matrix inversion by means of Cholesky decomposition... */
4580 else {
4581 gsl_linalg_cholesky_decomp(a);
4582 gsl_linalg_cholesky_invert(a);
4583 }
4584}

◆ 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 4588 of file jurassic.c.

4592 {
4593
4594 /* Set sizes... */
4595 const size_t m = a->size1;
4596 const size_t n = a->size2;
4597
4598 /* Allocate... */
4599 gsl_matrix *aux = gsl_matrix_alloc(m, n);
4600
4601 /* Compute A^T B A... */
4602 if (transpose == 1) {
4603
4604 /* Compute B^1/2 A... */
4605 for (size_t i = 0; i < m; i++)
4606 for (size_t j = 0; j < n; j++)
4607 gsl_matrix_set(aux, i, j,
4608 gsl_vector_get(b, i) * gsl_matrix_get(a, i, j));
4609
4610 /* Compute A^T B A = (B^1/2 A)^T (B^1/2 A)... */
4611 gsl_blas_dgemm(CblasTrans, CblasNoTrans, 1.0, aux, aux, 0.0, c);
4612 }
4613
4614 /* Compute A B A^T... */
4615 else if (transpose == 2) {
4616
4617 /* Compute A B^1/2... */
4618 for (size_t i = 0; i < m; i++)
4619 for (size_t j = 0; j < n; j++)
4620 gsl_matrix_set(aux, i, j,
4621 gsl_matrix_get(a, i, j) * gsl_vector_get(b, j));
4622
4623 /* Compute A B A^T = (A B^1/2) (A B^1/2)^T... */
4624 gsl_blas_dgemm(CblasNoTrans, CblasTrans, 1.0, aux, aux, 0.0, c);
4625 }
4626
4627 /* Free... */
4628 gsl_matrix_free(aux);
4629}

◆ 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 4633 of file jurassic.c.

4638 {
4639
4640 size_t m = 0;
4641
4642 /* Determine measurement vector... */
4643 for (int ir = 0; ir < obs->nr; ir++)
4644 for (int id = 0; id < ctl->nd; id++)
4645 if (isfinite(obs->rad[id][ir])) {
4646 if (y != NULL)
4647 gsl_vector_set(y, m, obs->rad[id][ir]);
4648 if (ida != NULL)
4649 ida[m] = id;
4650 if (ira != NULL)
4651 ira[m] = ir;
4652 m++;
4653 }
4654
4655 return m;
4656}

◆ 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 4660 of file jurassic.c.

4668 {
4669
4670 double disq = 0, lmpar = 0.001;
4671
4672 /* ------------------------------------------------------------
4673 Initialize...
4674 ------------------------------------------------------------ */
4675
4676 /* Allocate... */
4677 int *ipa, *iqa;
4678 ALLOC(ipa, int,
4679 N);
4680 ALLOC(iqa, int,
4681 N);
4682
4683 /* Get sizes... */
4684 const size_t m = obs2y(ctl, obs_meas, NULL, NULL, NULL);
4685 const size_t n = atm2x(ctl, atm_apr, NULL, iqa, ipa);
4686 if (m == 0 || n == 0) {
4687 WARN("Check problem definition (m = 0 or n = 0)!");
4688 *chisq = GSL_NAN;
4689 return;
4690 }
4691
4692 /* Allocate... */
4693 gsl_matrix *a = gsl_matrix_alloc(n, n);
4694 gsl_matrix *cov = gsl_matrix_alloc(n, n);
4695 gsl_matrix *k_i = gsl_matrix_alloc(m, n);
4696 gsl_matrix *s_a_inv = gsl_matrix_alloc(n, n);
4697
4698 gsl_vector *b = gsl_vector_alloc(n);
4699 gsl_vector *dx = gsl_vector_alloc(n);
4700 gsl_vector *dy = gsl_vector_alloc(m);
4701 gsl_vector *sig_eps_inv = gsl_vector_alloc(m);
4702 gsl_vector *sig_formod = gsl_vector_alloc(m);
4703 gsl_vector *sig_noise = gsl_vector_alloc(m);
4704 gsl_vector *x_a = gsl_vector_alloc(n);
4705 gsl_vector *x_i = gsl_vector_alloc(n);
4706 gsl_vector *x_step = gsl_vector_alloc(n);
4707 gsl_vector *y_aux = gsl_vector_alloc(m);
4708 gsl_vector *y_i = gsl_vector_alloc(m);
4709 gsl_vector *y_m = gsl_vector_alloc(m);
4710
4711 /* Set timer... */
4712 SELECT_TIMER("RET_SETUP", "RETRIEVAL");
4713
4714 /* Set initial state... */
4715 copy_atm(ctl, atm_i, atm_apr, 0);
4716 copy_obs(ctl, obs_i, obs_meas, 0);
4717 formod(ctl, tbl, atm_i, obs_i);
4718
4719 /* Set state vectors and observation vectors... */
4720 atm2x(ctl, atm_apr, x_a, NULL, NULL);
4721 atm2x(ctl, atm_i, x_i, NULL, NULL);
4722 obs2y(ctl, obs_meas, y_m, NULL, NULL);
4723 obs2y(ctl, obs_i, y_i, NULL, NULL);
4724
4725 /* Set inverse a priori covariance S_a^-1... */
4726 set_cov_apr(ret, ctl, atm_apr, iqa, ipa, s_a_inv);
4727 int lockfd = shared_io_lock(ret);
4728 const char *dirname;
4729 int profile;
4730 const char *filename =
4732 "matrix_cov_apr.tab", &dirname, &profile);
4733 write_matrix(dirname, filename, ctl, s_a_inv,
4734 atm_i, obs_i, "x", "x", "r", profile);
4735 shared_io_unlock(lockfd);
4736 matrix_invert(s_a_inv);
4737
4738 /* Get measurement errors... */
4739 set_cov_meas(ret, ctl, obs_meas, sig_noise, sig_formod, sig_eps_inv);
4740
4741 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4742 gsl_vector_memcpy(dx, x_i);
4743 gsl_vector_sub(dx, x_a);
4744 gsl_vector_memcpy(dy, y_m);
4745 gsl_vector_sub(dy, y_i);
4746
4747 /* Compute cost function... */
4748 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4749
4750 /* Write info... */
4751 LOG(2, "it= %d / chi^2/m= %g", 0, *chisq);
4752
4753 /* Compute initial kernel... */
4754 SELECT_TIMER("RET_KERNEL_INIT", "RETRIEVAL");
4755 kernel(ctl, tbl, atm_i, obs_i, k_i);
4756
4757 /* ------------------------------------------------------------
4758 Levenberg-Marquardt minimization...
4759 ------------------------------------------------------------ */
4760
4761 SELECT_TIMER("RET_ITERATE", "RETRIEVAL");
4762
4763 /* Outer loop... */
4764 for (int it = 1; it <= ret->conv_itmax; it++) {
4765
4766 /* Store current cost function value... */
4767 double chisq_old = *chisq;
4768
4769 /* Compute kernel matrix K_i... */
4770 if (it > 1 && it % ret->kernel_recomp == 0)
4771 kernel(ctl, tbl, atm_i, obs_i, k_i);
4772
4773 /* Compute K_i^T * S_eps^{-1} * K_i ... */
4774 if (it == 1 || it % ret->kernel_recomp == 0)
4775 matrix_product(k_i, sig_eps_inv, 1, cov);
4776
4777 /* Determine b = K_i^T * S_eps^{-1} * dy - S_a^{-1} * dx ... */
4778 for (size_t i = 0; i < m; i++)
4779 gsl_vector_set(y_aux, i, gsl_vector_get(dy, i)
4780 * POW2(gsl_vector_get(sig_eps_inv, i)));
4781 gsl_blas_dgemv(CblasTrans, 1.0, k_i, y_aux, 0.0, b);
4782 gsl_blas_dgemv(CblasNoTrans, -1.0, s_a_inv, dx, 1.0, b);
4783
4784 /* Inner loop... */
4785 for (int it2 = 0; it2 < 20; it2++) {
4786
4787 /* Compute A = (1 + lmpar) * S_a^{-1} + K_i^T * S_eps^{-1} * K_i ... */
4788 gsl_matrix_memcpy(a, s_a_inv);
4789 gsl_matrix_scale(a, 1 + lmpar);
4790 gsl_matrix_add(a, cov);
4791
4792 /* Solve A * x_step = b by means of Cholesky decomposition... */
4793 gsl_linalg_cholesky_decomp(a);
4794 gsl_linalg_cholesky_solve(a, b, x_step);
4795
4796 /* Update atmospheric state... */
4797 gsl_vector_add(x_i, x_step);
4798 copy_atm(ctl, atm_i, atm_apr, 0);
4799 copy_obs(ctl, obs_i, obs_meas, 0);
4800 x2atm(ctl, x_i, atm_i);
4801
4802 /* Check atmospheric state... */
4803 for (int ip = 0; ip < atm_i->np; ip++) {
4804 atm_i->p[ip] = CLAMP(atm_i->p[ip], 5e-7, 5e4);
4805 atm_i->t[ip] = CLAMP(atm_i->t[ip], 100, 400);
4806 for (int ig = 0; ig < ctl->ng; ig++)
4807 atm_i->q[ig][ip] = CLAMP(atm_i->q[ig][ip], 0, 1);
4808 for (int iw = 0; iw < ctl->nw; iw++)
4809 atm_i->k[iw][ip] = MAX(atm_i->k[iw][ip], 0);
4810 }
4811 atm_i->clz = MAX(atm_i->clz, 0);
4812 atm_i->cldz = MAX(atm_i->cldz, 0.1);
4813 for (int icl = 0; icl < ctl->ncl; icl++)
4814 atm_i->clk[icl] = MAX(atm_i->clk[icl], 0);
4815 atm_i->sft = CLAMP(atm_i->sft, 100, 400);
4816 for (int isf = 0; isf < ctl->nsf; isf++)
4817 atm_i->sfeps[isf] = CLAMP(atm_i->sfeps[isf], 0, 1);
4818
4819 /* Forward calculation... */
4820 formod(ctl, tbl, atm_i, obs_i);
4821 obs2y(ctl, obs_i, y_i, NULL, NULL);
4822
4823 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4824 gsl_vector_memcpy(dx, x_i);
4825 gsl_vector_sub(dx, x_a);
4826 gsl_vector_memcpy(dy, y_m);
4827 gsl_vector_sub(dy, y_i);
4828
4829 /* Compute cost function... */
4830 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4831
4832 /* Modify Levenberg-Marquardt parameter... */
4833 if (*chisq > chisq_old) {
4834 lmpar *= 10;
4835 gsl_vector_sub(x_i, x_step);
4836 } else {
4837 lmpar /= 10;
4838 break;
4839 }
4840 }
4841
4842 /* Write info... */
4843 LOG(2, "it= %d / chi^2/m= %g", it, *chisq);
4844
4845 /* Get normalized step size in state space... */
4846 gsl_blas_ddot(x_step, b, &disq);
4847 disq /= (double) n;
4848
4849 /* Convergence test... */
4850 if ((it == 1 || it % ret->kernel_recomp == 0) && disq < ret->conv_dmin)
4851 break;
4852 }
4853
4854 /* ------------------------------------------------------------
4855 Analysis of retrieval results...
4856 ------------------------------------------------------------ */
4857
4858 /* Check if error analysis is requested... */
4859 if (ret->err_ana) {
4860
4861 SELECT_TIMER("RET_DIAGNOSTICS", "OUTPUT");
4862
4863 /* Store results... */
4864 lockfd = shared_io_lock(ret);
4866 "atm_final.tab", &dirname, &profile);
4867 write_atm(dirname, filename, ctl, atm_i, profile);
4869 "obs_final.tab", &dirname, &profile);
4870 write_obs(dirname, filename, ctl, obs_i, profile);
4871 filename =
4873 "matrix_kernel.tab", &dirname, &profile);
4874 write_matrix(dirname, filename, ctl, k_i,
4875 atm_i, obs_i, "y", "x", "r", profile);
4876
4877 /* Allocate... */
4878 gsl_matrix *auxnm = gsl_matrix_alloc(n, m);
4879 gsl_matrix *corr = gsl_matrix_alloc(n, n);
4880 gsl_matrix *gain = gsl_matrix_alloc(n, m);
4881
4882 /* Compute inverse retrieval covariance...
4883 cov^{-1} = S_a^{-1} + K_i^T * S_eps^{-1} * K_i */
4884 matrix_product(k_i, sig_eps_inv, 1, cov);
4885 gsl_matrix_add(cov, s_a_inv);
4886
4887 /* Compute retrieval covariance... */
4888 matrix_invert(cov);
4889 filename =
4891 "matrix_cov_ret.tab", &dirname, &profile);
4892 write_matrix(dirname, filename, ctl, cov,
4893 atm_i, obs_i, "x", "x", "r", profile);
4894 write_stddev("total", ret, ctl, atm_i, cov);
4895
4896 /* Compute correlation matrix... */
4897 for (size_t i = 0; i < n; i++)
4898 for (size_t j = 0; j < n; j++)
4899 gsl_matrix_set(corr, i, j, gsl_matrix_get(cov, i, j)
4900 / sqrt(gsl_matrix_get(cov, i, i))
4901 / sqrt(gsl_matrix_get(cov, j, j)));
4903 "matrix_corr.tab", &dirname, &profile);
4904 write_matrix(dirname, filename, ctl, corr,
4905 atm_i, obs_i, "x", "x", "r", profile);
4906
4907 /* Compute gain matrix...
4908 G = cov * K^T * S_eps^{-1} */
4909 for (size_t i = 0; i < n; i++)
4910 for (size_t j = 0; j < m; j++)
4911 gsl_matrix_set(auxnm, i, j, gsl_matrix_get(k_i, j, i)
4912 * POW2(gsl_vector_get(sig_eps_inv, j)));
4913 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, cov, auxnm, 0.0, gain);
4915 "matrix_gain.tab", &dirname, &profile);
4916 write_matrix(dirname, filename, ctl, gain,
4917 atm_i, obs_i, "x", "y", "c", profile);
4918
4919 /* Compute retrieval error due to noise... */
4920 matrix_product(gain, sig_noise, 2, a);
4921 write_stddev("noise", ret, ctl, atm_i, a);
4922
4923 /* Compute retrieval error due to forward model errors... */
4924 matrix_product(gain, sig_formod, 2, a);
4925 write_stddev("formod", ret, ctl, atm_i, a);
4926
4927 /* Compute averaging kernel matrix
4928 A = G * K ... */
4929 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, gain, k_i, 0.0, a);
4931 "matrix_avk.tab", &dirname, &profile);
4932 write_matrix(dirname, filename, ctl, a,
4933 atm_i, obs_i, "x", "x", "r", profile);
4934
4935 /* Analyze averaging kernel matrix... */
4936 analyze_avk(ret, ctl, atm_i, iqa, ipa, a);
4937 shared_io_unlock(lockfd);
4938
4939 /* Free... */
4940 gsl_matrix_free(auxnm);
4941 gsl_matrix_free(corr);
4942 gsl_matrix_free(gain);
4943 }
4944
4945 /* ------------------------------------------------------------
4946 Finalize...
4947 ------------------------------------------------------------ */
4948
4949 gsl_matrix_free(a);
4950 gsl_matrix_free(cov);
4951 gsl_matrix_free(k_i);
4952 gsl_matrix_free(s_a_inv);
4953
4954 gsl_vector_free(b);
4955 gsl_vector_free(dx);
4956 gsl_vector_free(dy);
4957 gsl_vector_free(sig_eps_inv);
4958 gsl_vector_free(sig_formod);
4959 gsl_vector_free(sig_noise);
4960 gsl_vector_free(x_a);
4961 gsl_vector_free(x_i);
4962 gsl_vector_free(x_step);
4963 gsl_vector_free(y_aux);
4964 gsl_vector_free(y_i);
4965 gsl_vector_free(y_m);
4966
4967 free(ipa);
4968 free(iqa);
4969}
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:6886
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:4588
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:7759
void shared_io_unlock(int fd)
Release a shared retrieval output lock.
Definition: jurassic.c:6913
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:6797
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:8281
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:4393
void matrix_invert(gsl_matrix *a)
Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices.
Definition: jurassic.c:4558
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:6686
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:8685
#define SELECT_TIMER(id, group)
Switch to a named aggregated timer.
Definition: jurassic.h:1158
char shared_io_atm_final_file[LEN]
Optional shared retrieved-atmosphere output file.
Definition: jurassic.h:1796
int err_ana
Carry out error analysis (0=no, 1=yes).
Definition: jurassic.h:1724
char shared_io_matrix_cov_apr_file[LEN]
Optional shared a priori covariance output file.
Definition: jurassic.h:1802
double conv_dmin
Minimum normalized step size in state space.
Definition: jurassic.h:1721
char shared_io_matrix_gain_file[LEN]
Optional shared gain matrix output file.
Definition: jurassic.h:1814
char shared_io_matrix_cov_ret_file[LEN]
Optional shared retrieval covariance output file.
Definition: jurassic.h:1808
char shared_io_matrix_kernel_file[LEN]
Optional shared kernel matrix output file.
Definition: jurassic.h:1805
char shared_io_matrix_avk_file[LEN]
Optional shared averaging-kernel matrix output file.
Definition: jurassic.h:1817
int kernel_recomp
Re-computation of kernel matrix (number of iterations).
Definition: jurassic.h:1715
int conv_itmax
Maximum number of iterations.
Definition: jurassic.h:1718
char shared_io_matrix_corr_file[LEN]
Optional shared correlation matrix output file.
Definition: jurassic.h:1811
char shared_io_obs_final_file[LEN]
Optional shared retrieved-observation output file.
Definition: jurassic.h:1799
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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 4971 of file jurassic.c.

4976 {
4977
4978 const double h = 0.02, zrefrac = 60;
4979
4980 double ex0[3], ex1[3], k[NW], lat, lon, n, ng[3], norm, p, q[NG], t,
4981 x[3], xh[3], xobs[3], xvp[3], z = 1e99, zmax, zmin;
4982
4983 int stop = 0;
4984
4985 /* Initialize... */
4986 los->np = 0;
4987 los->sft = -999;
4988 obs->tpz[ir] = obs->vpz[ir];
4989 obs->tplon[ir] = obs->vplon[ir];
4990 obs->tplat[ir] = obs->vplat[ir];
4991
4992 /* Get altitude range of atmospheric data... */
4993 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
4994
4995 /* Check observer altitude... */
4996 if (obs->obsz[ir] < zmin)
4997 ERRMSG("Observer below surface!");
4998
4999 /* Determine Cartesian coordinates for observer and view point... */
5000 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xobs);
5001 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xvp);
5002
5003 /* Determine initial tangent vector... */
5004 for (int i = 0; i < 3; i++)
5005 ex0[i] = xvp[i] - xobs[i];
5006 norm = NORM(ex0);
5007 for (int i = 0; i < 3; i++)
5008 ex0[i] /= norm;
5009
5010 /* Observer within atmosphere... */
5011 for (int i = 0; i < 3; i++)
5012 x[i] = xobs[i];
5013
5014 /* Observer above atmosphere (search entry point)... */
5015 if (obs->obsz[ir] > zmax) {
5016 double dmax = norm, dmin = 0;
5017 while (fabs(dmin - dmax) > 0.001) {
5018 const double d = (dmax + dmin) / 2;
5019 for (int i = 0; i < 3; i++)
5020 x[i] = xobs[i] + d * ex0[i];
5021 cart2geo(x, &z, &lon, &lat);
5022 if (z <= zmax && z > zmax - 0.001)
5023 break;
5024 if (z < zmax - 0.0005)
5025 dmax = d;
5026 else
5027 dmin = d;
5028 }
5029 }
5030
5031 /* Ray-tracing... */
5032 while (1) {
5033
5034 /* Set step length... */
5035 double ds = ctl->rayds;
5036 if (ctl->raydz > 0) {
5037 norm = NORM(x);
5038 for (int i = 0; i < 3; i++)
5039 xh[i] = x[i] / norm;
5040 const double cosa = fabs(DOTP(ex0, xh));
5041 if (cosa != 0)
5042 ds = MIN(ctl->rayds, ctl->raydz / cosa);
5043 }
5044
5045 /* Determine geolocation... */
5046 cart2geo(x, &z, &lon, &lat);
5047
5048 /* Check if LOS hits the ground or has left atmosphere... */
5049 if (z < zmin || z > zmax) {
5050 stop = (z < zmin ? 2 : 1);
5051 const double frac =
5052 ((z <
5053 zmin ? zmin : zmax) - los->z[los->np - 1]) / (z - los->z[los->np -
5054 1]);
5055 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
5056 los->lat[los->np - 1], xh);
5057 for (int i = 0; i < 3; i++)
5058 x[i] = xh[i] + frac * (x[i] - xh[i]);
5059 cart2geo(x, &z, &lon, &lat);
5060 los->ds[los->np - 1] = ds * frac;
5061 ds = 0;
5062 }
5063
5064 /* Interpolate atmospheric data... */
5065 intpol_atm(ctl, atm, z, &p, &t, q, k);
5066
5067 /* Save data... */
5068 los->lon[los->np] = lon;
5069 los->lat[los->np] = lat;
5070 los->z[los->np] = z;
5071 los->p[los->np] = p;
5072 los->t[los->np] = t;
5073 for (int ig = 0; ig < ctl->ng; ig++)
5074 los->q[los->np][ig] = q[ig];
5075 for (int id = 0; id < ctl->nd; id++)
5076 los->k[los->np][id] = k[ctl->window[id]];
5077 los->ds[los->np] = ds;
5078
5079 /* Add cloud extinction... */
5080 if (ctl->ncl > 0 && atm->cldz > 0) {
5081 const double aux = exp(-0.5 * POW2((z - atm->clz) / atm->cldz));
5082 for (int id = 0; id < ctl->nd; id++) {
5083 const int icl = locate_irr(ctl->clnu, ctl->ncl, ctl->nu[id]);
5084 los->k[los->np][id]
5085 += aux * LIN(ctl->clnu[icl], atm->clk[icl],
5086 ctl->clnu[icl + 1], atm->clk[icl + 1], ctl->nu[id]);
5087 }
5088 }
5089
5090 /* Increment and check number of LOS points... */
5091 if ((++los->np) > NLOS)
5092 ERRMSG("Too many LOS points!");
5093
5094 /* Check stop flag... */
5095 if (stop) {
5096
5097 /* Set surface temperature... */
5098 if (ctl->nsf > 0 && atm->sft > 0)
5099 t = atm->sft;
5100 los->sft = (stop == 2 ? t : -999);
5101
5102 /* Set surface emissivity... */
5103 for (int id = 0; id < ctl->nd; id++) {
5104 los->sfeps[id] = 1.0;
5105 if (ctl->nsf > 0) {
5106 const int isf = locate_irr(ctl->sfnu, ctl->nsf, ctl->nu[id]);
5107 los->sfeps[id] = LIN(ctl->sfnu[isf], atm->sfeps[isf],
5108 ctl->sfnu[isf + 1], atm->sfeps[isf + 1],
5109 ctl->nu[id]);
5110 }
5111 }
5112
5113 /* Leave raytracer... */
5114 break;
5115 }
5116
5117 /* Determine refractivity... */
5118 if (ctl->refrac && z <= zrefrac)
5119 n = 1 + REFRAC_EDLEN(p, t);
5120 else
5121 n = 1;
5122
5123 /* Construct new tangent vector (first term)... */
5124 for (int i = 0; i < 3; i++)
5125 ex1[i] = ex0[i] * n;
5126
5127 /* Compute gradient of refractivity... */
5128 if (ctl->refrac && z <= zrefrac) {
5129 for (int i = 0; i < 3; i++)
5130 xh[i] = x[i] + 0.5 * ds * ex0[i];
5131 cart2geo(xh, &z, &lon, &lat);
5132 intpol_atm(ctl, atm, z, &p, &t, q, k);
5133 n = REFRAC_EDLEN(p, t);
5134 for (int i = 0; i < 3; i++) {
5135 xh[i] += h;
5136 cart2geo(xh, &z, &lon, &lat);
5137 intpol_atm(ctl, atm, z, &p, &t, q, k);
5138 ng[i] = (REFRAC_EDLEN(p, t) - n) / h;
5139 xh[i] -= h;
5140 }
5141 } else
5142 for (int i = 0; i < 3; i++)
5143 ng[i] = 0;
5144
5145 /* Construct new tangent vector (second term)... */
5146 for (int i = 0; i < 3; i++)
5147 ex1[i] += ds * ng[i];
5148
5149 /* Normalize new tangent vector... */
5150 norm = NORM(ex1);
5151 for (int i = 0; i < 3; i++)
5152 ex1[i] /= norm;
5153
5154 /* Determine next point of LOS... */
5155 for (int i = 0; i < 3; i++)
5156 x[i] += 0.5 * ds * (ex0[i] + ex1[i]);
5157
5158 /* Copy tangent vector... */
5159 for (int i = 0; i < 3; i++)
5160 ex0[i] = ex1[i];
5161 }
5162
5163 /* Get tangent point (to be done before changing segment lengths!)... */
5164 tangent_point(los, &obs->tpz[ir], &obs->tplon[ir], &obs->tplat[ir]);
5165
5166 /* Change segment lengths according to trapezoid rule... */
5167 for (int ip = los->np - 1; ip >= 1; ip--)
5168 los->ds[ip] = 0.5 * (los->ds[ip - 1] + los->ds[ip]);
5169 los->ds[0] *= 0.5;
5170
5171 /* Compute column density... */
5172 for (int ip = 0; ip < los->np; ip++)
5173 for (int ig = 0; ig < ctl->ng; ig++)
5174 los->u[ip][ig] = 10 * los->q[ip][ig] * los->p[ip]
5175 / (KB * los->t[ip]) * los->ds[ip];
5176
5177 /* Compute Curtis-Godson means... */
5178 for (int ig = 0; ig < ctl->ng; ig++) {
5179 los->cgu[0][ig] = los->u[0][ig];
5180 los->cgp[0][ig] = los->u[0][ig] * los->p[0];
5181 los->cgt[0][ig] = los->u[0][ig] * los->t[0];
5182 }
5183 for (int ip = 1; ip < los->np; ip++)
5184 for (int ig = 0; ig < ctl->ng; ig++) {
5185 los->cgu[ip][ig] = los->cgu[ip - 1][ig] + los->u[ip][ig];
5186 los->cgp[ip][ig] = los->cgp[ip - 1][ig] + los->u[ip][ig] * los->p[ip];
5187 los->cgt[ip][ig] = los->cgt[ip - 1][ig] + los->u[ip][ig] * los->t[ip];
5188 }
5189 for (int ip = 0; ip < los->np; ip++)
5190 for (int ig = 0; ig < ctl->ng; ig++)
5191 if (los->cgu[ip][ig] != 0) {
5192 los->cgp[ip][ig] /= los->cgu[ip][ig];
5193 los->cgt[ip][ig] /= los->cgu[ip][ig];
5194 }
5195}
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:4049
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:6965
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:1104
#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:1458
double rayds
Maximum step length for raytracing [km].
Definition: jurassic.h:1512
double raydz
Vertical step length for raytracing [km].
Definition: jurassic.h:1515
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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 5199 of file jurassic.c.

5204 {
5205
5206 /* Init... */
5207 atm->np = 0;
5208
5209 /* Set filename... */
5210 char file[LEN];
5211 if (dirname != NULL)
5212 sprintf(file, "%s/%s", dirname, filename);
5213 else
5214 sprintf(file, "%s", filename);
5215
5216 /* Write info... */
5217 LOG(1, "Read atmospheric data: %s", file);
5218
5219 /* Read ASCII data... */
5220 if (ctl->atmfmt == 1)
5221 read_atm_asc(file, ctl, atm);
5222
5223 /* Read binary data... */
5224 else if (ctl->atmfmt == 2)
5225 read_atm_bin(file, ctl, atm);
5226
5227 /* Read netCDF data... */
5228 else if (ctl->atmfmt == 3)
5229 read_atm_nc(file, ctl, atm, profile);
5230
5231 /* Check number of points... */
5232 if (atm->np < 1)
5233 ERRMSG("Could not read any data!");
5234
5235 /* Write info... */
5236 double mini, maxi;
5237 LOG(2, "Number of data points: %d", atm->np);
5238 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
5239 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5240 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
5241 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
5242 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
5243 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
5244 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
5245 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
5246 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
5247 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
5248 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
5249 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
5250 for (int ig = 0; ig < ctl->ng; ig++) {
5251 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
5252 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
5253 }
5254 for (int iw = 0; iw < ctl->nw; iw++) {
5255 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
5256 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
5257 }
5258 if (ctl->ncl > 0) {
5259 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
5260 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
5261 } else
5262 LOG(2, "Cloud layer: none");
5263 if (ctl->nsf > 0) {
5264 LOG(2,
5265 "Surface: T_s = %g K | eps= %g ... %g",
5266 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
5267 } else
5268 LOG(2, "Surface: none");
5269}
void read_atm_bin(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in binary format.
Definition: jurassic.c:5324
void read_atm_asc(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in ASCII format.
Definition: jurassic.c:5273
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:5418
int atmfmt
Atmospheric data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1485
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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 5273 of file jurassic.c.

5276 {
5277
5278 /* Init... */
5279 atm->np = 0;
5280
5281 /* Open file... */
5282 FILE *in;
5283 if (!(in = fopen(filename, "r")))
5284 ERRMSG("Cannot open file!");
5285
5286 /* Read line... */
5287 char line[LEN], *tok;
5288 while (fgets(line, LEN, in)) {
5289
5290 /* Read data... */
5291 TOK(line, tok, "%lg", atm->time[atm->np]);
5292 TOK(NULL, tok, "%lg", atm->z[atm->np]);
5293 TOK(NULL, tok, "%lg", atm->lon[atm->np]);
5294 TOK(NULL, tok, "%lg", atm->lat[atm->np]);
5295 TOK(NULL, tok, "%lg", atm->p[atm->np]);
5296 TOK(NULL, tok, "%lg", atm->t[atm->np]);
5297 for (int ig = 0; ig < ctl->ng; ig++)
5298 TOK(NULL, tok, "%lg", atm->q[ig][atm->np]);
5299 for (int iw = 0; iw < ctl->nw; iw++)
5300 TOK(NULL, tok, "%lg", atm->k[iw][atm->np]);
5301 if (ctl->ncl > 0 && atm->np == 0) {
5302 TOK(NULL, tok, "%lg", atm->clz);
5303 TOK(NULL, tok, "%lg", atm->cldz);
5304 for (int icl = 0; icl < ctl->ncl; icl++)
5305 TOK(NULL, tok, "%lg", atm->clk[icl]);
5306 }
5307 if (ctl->nsf > 0 && atm->np == 0) {
5308 TOK(NULL, tok, "%lg", atm->sft);
5309 for (int isf = 0; isf < ctl->nsf; isf++)
5310 TOK(NULL, tok, "%lg", atm->sfeps[isf]);
5311 }
5312
5313 /* Increment data point counter... */
5314 if ((++atm->np) > NP)
5315 ERRMSG("Too many data points!");
5316 }
5317
5318 /* Close file... */
5319 fclose(in);
5320}
#define TOK(line, tok, format, var)
Tokenize a string and parse a variable.
Definition: jurassic.h:1189
#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 5324 of file jurassic.c.

5327 {
5328
5329 /* Open file... */
5330 FILE *in;
5331 if (!(in = fopen(filename, "r")))
5332 ERRMSG("Cannot open file!");
5333
5334 /* Read header... */
5335 char magic[4];
5336 FREAD(magic, char,
5337 4,
5338 in);
5339 if (memcmp(magic, "ATM1", 4) != 0)
5340 ERRMSG("Invalid magic string!");
5341
5342 int ng, nw, ncl, nsf;
5343 FREAD(&ng, int,
5344 1,
5345 in);
5346 FREAD(&nw, int,
5347 1,
5348 in);
5349 FREAD(&ncl, int,
5350 1,
5351 in);
5352 FREAD(&nsf, int,
5353 1,
5354 in);
5355 if (ng != ctl->ng || nw != ctl->nw || ncl != ctl->ncl || nsf != ctl->nsf)
5356 ERRMSG("Error reading file header!");
5357
5358 /* Read data... */
5359 size_t np;
5360 FREAD(&np, size_t,
5361 1,
5362 in);
5363 atm->np = (int) np;
5364 if (atm->np > NP)
5365 ERRMSG("Too many data points!");
5366 FREAD(atm->time, double,
5367 np,
5368 in);
5369 FREAD(atm->z, double,
5370 np,
5371 in);
5372 FREAD(atm->lon, double,
5373 np,
5374 in);
5375 FREAD(atm->lat, double,
5376 np,
5377 in);
5378 FREAD(atm->p, double,
5379 np,
5380 in);
5381 FREAD(atm->t, double,
5382 np,
5383 in);
5384 for (int ig = 0; ig < ctl->ng; ig++)
5385 FREAD(atm->q[ig], double,
5386 np,
5387 in);
5388 for (int iw = 0; iw < ctl->nw; iw++)
5389 FREAD(atm->k[iw], double,
5390 np,
5391 in);
5392 if (ctl->ncl > 0) {
5393 FREAD(&atm->clz, double,
5394 1,
5395 in);
5396 FREAD(&atm->cldz, double,
5397 1,
5398 in);
5399 FREAD(atm->clk, double,
5400 (size_t) ctl->ncl,
5401 in);
5402 }
5403 if (ctl->nsf) {
5404 FREAD(&atm->sft, double,
5405 1,
5406 in);
5407 FREAD(atm->sfeps, double,
5408 (size_t) ctl->nsf,
5409 in);
5410 }
5411
5412 /* Close file... */
5413 fclose(in);
5414}
#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 5418 of file jurassic.c.

5422 {
5423
5424 int ncid, var_time, var_z, var_lon, var_lat, var_p, var_t, var_q[NG],
5425 var_k[NW], var_cz = -1, var_cdz = -1, var_ck[NCL], var_sft =
5426 -1, var_sfe[NSF], var_nlev = -1;
5427
5428 char varname[LEN];
5429
5430 /* Open file... */
5431 NC(nc_open(filename, NC_NOWRITE, &ncid));
5432
5433 /* Initialize hyperslab... */
5434 size_t start[2] = { (size_t) profile, 0 };
5435 size_t count[2] = { 1, 0 };
5436
5437 /* Determine atm->np... */
5438 NC(nc_inq_varid(ncid, "nlev", &var_nlev));
5439 NC(nc_get_vara_int(ncid, var_nlev, start, count, &atm->np));
5440 if (atm->np < 1 || atm->np > NP)
5441 ERRMSG("Number of level out of range!");
5442
5443 /* Update hyperslab... */
5444 count[1] = (size_t) atm->np;
5445
5446 /* Inquire core variables... */
5447 NC(nc_inq_varid(ncid, "time", &var_time));
5448 NC(nc_inq_varid(ncid, "z", &var_z));
5449 NC(nc_inq_varid(ncid, "lon", &var_lon));
5450 NC(nc_inq_varid(ncid, "lat", &var_lat));
5451 NC(nc_inq_varid(ncid, "p", &var_p));
5452 NC(nc_inq_varid(ncid, "t", &var_t));
5453
5454 /* Inquire emiters... */
5455 for (int ig = 0; ig < ctl->ng; ig++)
5456 NC(nc_inq_varid(ncid, ctl->emitter[ig], &var_q[ig]));
5457
5458 /* Inquire extinctions... */
5459 for (int iw = 0; iw < ctl->nw; iw++) {
5460 sprintf(varname, "ext_win_%d", iw);
5461 NC(nc_inq_varid(ncid, varname, &var_k[iw]));
5462 }
5463
5464 /* Inquire cloud variables... */
5465 if (ctl->ncl > 0) {
5466 NC(nc_inq_varid(ncid, "cld_z", &var_cz));
5467 NC(nc_inq_varid(ncid, "cld_dz", &var_cdz));
5468 for (int icl = 0; icl < ctl->ncl; icl++) {
5469 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
5470 NC(nc_inq_varid(ncid, varname, &var_ck[icl]));
5471 }
5472 }
5473
5474 /* Inquire surface variables... */
5475 if (ctl->nsf > 0) {
5476 NC(nc_inq_varid(ncid, "srf_t", &var_sft));
5477 for (int isf = 0; isf < ctl->nsf; isf++) {
5478 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
5479 NC(nc_inq_varid(ncid, varname, &var_sfe[isf]));
5480 }
5481 }
5482
5483 /* Read core variables... */
5484 NC(nc_get_vara_double(ncid, var_time, start, count, atm->time));
5485 NC(nc_get_vara_double(ncid, var_z, start, count, atm->z));
5486 NC(nc_get_vara_double(ncid, var_lon, start, count, atm->lon));
5487 NC(nc_get_vara_double(ncid, var_lat, start, count, atm->lat));
5488 NC(nc_get_vara_double(ncid, var_p, start, count, atm->p));
5489 NC(nc_get_vara_double(ncid, var_t, start, count, atm->t));
5490
5491 /* Read emitters... */
5492 for (int ig = 0; ig < ctl->ng; ig++)
5493 NC(nc_get_vara_double(ncid, var_q[ig], start, count, atm->q[ig]));
5494
5495 /* Read extinctions... */
5496 for (int iw = 0; iw < ctl->nw; iw++)
5497 NC(nc_get_vara_double(ncid, var_k[iw], start, count, atm->k[iw]));
5498
5499 /* Read cloud variables... */
5500 if (ctl->ncl > 0) {
5501 NC(nc_get_vara_double(ncid, var_cz, start, count, &atm->clz));
5502 NC(nc_get_vara_double(ncid, var_cdz, start, count, &atm->cldz));
5503 for (int icl = 0; icl < ctl->ncl; icl++)
5504 NC(nc_get_vara_double(ncid, var_ck[icl], start, count, &atm->clk[icl]));
5505 }
5506
5507 /* Read surface variables... */
5508 if (ctl->nsf > 0) {
5509 NC(nc_get_vara_double(ncid, var_sft, start, count, &atm->sft));
5510
5511 for (int isf = 0; isf < ctl->nsf; isf++)
5512 NC(nc_get_vara_double
5513 (ncid, var_sfe[isf], start, count, &atm->sfeps[isf]));
5514 }
5515
5516 /* Close file... */
5517 NC(nc_close(ncid));
5518}
#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 5522 of file jurassic.c.

5525 {
5526
5527 /* Write info... */
5528 LOG(1, "\nJuelich Rapid Spectral Simulation Code (JURASSIC)\n"
5529 "(executable: %s | version: %s | compiled: %s, %s)\n",
5530 argv[0], VERSION, __DATE__, __TIME__);
5531
5532 /* Emitters... */
5533 ctl->ng = (int) scan_ctl(argc, argv, "NG", -1, "0", NULL);
5534 if (ctl->ng < 0 || ctl->ng > NG)
5535 ERRMSG("Set 0 <= NG <= MAX!");
5536 for (int ig = 0; ig < ctl->ng; ig++)
5537 scan_ctl(argc, argv, "EMITTER", ig, "", ctl->emitter[ig]);
5538 ctl->ig_co2 = find_emitter(ctl, "CO2");
5539 ctl->ig_h2o = find_emitter(ctl, "H2O");
5540 ctl->ig_n2 = find_emitter(ctl, "N2");
5541 ctl->ig_o2 = find_emitter(ctl, "O2");
5542
5543 /* Radiance channels... */
5544 ctl->nd = (int) scan_ctl(argc, argv, "ND", -1, "0", NULL);
5545 if (ctl->nd < 0 || ctl->nd > ND)
5546 ERRMSG("Set 0 <= ND <= MAX!");
5547 for (int id = 0; id < ctl->nd; id++)
5548 ctl->nu[id] = scan_ctl(argc, argv, "NU", id, "", NULL);
5549
5550 /* Spectral windows... */
5551 ctl->nw = (int) scan_ctl(argc, argv, "NW", -1, "1", NULL);
5552 if (ctl->nw < 0 || ctl->nw > NW)
5553 ERRMSG("Set 0 <= NW <= MAX!");
5554 for (int id = 0; id < ctl->nd; id++)
5555 ctl->window[id] = (int) scan_ctl(argc, argv, "WINDOW", id, "0", NULL);
5556
5557 /* Cloud data... */
5558 ctl->ncl = (int) scan_ctl(argc, argv, "NCL", -1, "0", NULL);
5559 if (ctl->ncl < 0 || ctl->ncl > NCL)
5560 ERRMSG("Set 0 <= NCL <= MAX!");
5561 if (ctl->ncl == 1)
5562 ERRMSG("Set NCL > 1!");
5563 for (int icl = 0; icl < ctl->ncl; icl++)
5564 ctl->clnu[icl] = scan_ctl(argc, argv, "CLNU", icl, "", NULL);
5565
5566 /* Surface data... */
5567 ctl->nsf = (int) scan_ctl(argc, argv, "NSF", -1, "0", NULL);
5568 if (ctl->nsf < 0 || ctl->nsf > NSF)
5569 ERRMSG("Set 0 <= NSF <= MAX!");
5570 if (ctl->nsf == 1)
5571 ERRMSG("Set NSF > 1!");
5572 for (int isf = 0; isf < ctl->nsf; isf++)
5573 ctl->sfnu[isf] = scan_ctl(argc, argv, "SFNU", isf, "", NULL);
5574 ctl->sftype = (int) scan_ctl(argc, argv, "SFTYPE", -1, "2", NULL);
5575 if (ctl->sftype < 0 || ctl->sftype > 3)
5576 ERRMSG("Set 0 <= SFTYPE <= 3!");
5577 ctl->sfsza = scan_ctl(argc, argv, "SFSZA", -1, "-999", NULL);
5578
5579 /* Emissivity look-up tables... */
5580 scan_ctl(argc, argv, "TBLBASE", -1, "-", ctl->tblbase);
5581 ctl->tblfmt = (int) scan_ctl(argc, argv, "TBLFMT", -1, "1", NULL);
5582 if (ctl->tblfmt < 1 || ctl->tblfmt > 3)
5583 ERRMSG("Unknown look-up table file format, set TBLFMT to 1, 2, or 3!");
5584
5585 /* File formats... */
5586 ctl->atmfmt = (int) scan_ctl(argc, argv, "ATMFMT", -1, "1", NULL);
5587 if (ctl->atmfmt < 1 || ctl->atmfmt > 3)
5588 ERRMSG("Unknown atmospheric file format, set ATMFMT to 1, 2, or 3!");
5589 ctl->obsfmt = (int) scan_ctl(argc, argv, "OBSFMT", -1, "1", NULL);
5590 if (ctl->obsfmt < 1 || ctl->obsfmt > 3)
5591 ERRMSG("Unknown observation file format, set OBSFMT to 1, 2, or 3!");
5592 ctl->matrixfmt = (int) scan_ctl(argc, argv, "MATRIXFMT", -1, "1", NULL);
5593 if (ctl->matrixfmt < 1 || ctl->matrixfmt > 3)
5594 ERRMSG("Unknown matrix file format, set MATRIXFMT to 1, 2, or 3!");
5595
5596 /* Hydrostatic equilibrium... */
5597 ctl->hydz = scan_ctl(argc, argv, "HYDZ", -1, "-999", NULL);
5598
5599 /* Continua... */
5600 ctl->ctm_co2 = (int) scan_ctl(argc, argv, "CTM_CO2", -1, "1", NULL);
5601 ctl->ctm_h2o = (int) scan_ctl(argc, argv, "CTM_H2O", -1, "1", NULL);
5602 ctl->ctm_n2 = (int) scan_ctl(argc, argv, "CTM_N2", -1, "1", NULL);
5603 ctl->ctm_o2 = (int) scan_ctl(argc, argv, "CTM_O2", -1, "1", NULL);
5604
5605 /* Ray-tracing... */
5606 ctl->refrac = (int) scan_ctl(argc, argv, "REFRAC", -1, "1", NULL);
5607 ctl->rayds = scan_ctl(argc, argv, "RAYDS", -1, "10", NULL);
5608 ctl->raydz = scan_ctl(argc, argv, "RAYDZ", -1, "0.1", NULL);
5609
5610 /* Field of view... */
5611 scan_ctl(argc, argv, "FOV", -1, "-", ctl->fov);
5612 if (ctl->fov[0] != '-')
5613 read_shape(ctl->fov, ctl->fov_dz, ctl->fov_w, &ctl->fov_n);
5614
5615 /* Retrieval interface... */
5616 ctl->retp_zmin = scan_ctl(argc, argv, "RETP_ZMIN", -1, "-999", NULL);
5617 ctl->retp_zmax = scan_ctl(argc, argv, "RETP_ZMAX", -1, "-999", NULL);
5618 ctl->rett_zmin = scan_ctl(argc, argv, "RETT_ZMIN", -1, "-999", NULL);
5619 ctl->rett_zmax = scan_ctl(argc, argv, "RETT_ZMAX", -1, "-999", NULL);
5620 for (int ig = 0; ig < ctl->ng; ig++) {
5621 ctl->retq_zmin[ig] = scan_ctl(argc, argv, "RETQ_ZMIN", ig, "-999", NULL);
5622 ctl->retq_zmax[ig] = scan_ctl(argc, argv, "RETQ_ZMAX", ig, "-999", NULL);
5623 }
5624 for (int iw = 0; iw < ctl->nw; iw++) {
5625 ctl->retk_zmin[iw] = scan_ctl(argc, argv, "RETK_ZMIN", iw, "-999", NULL);
5626 ctl->retk_zmax[iw] = scan_ctl(argc, argv, "RETK_ZMAX", iw, "-999", NULL);
5627 }
5628 ctl->ret_clz = (int) scan_ctl(argc, argv, "RET_CLZ", -1, "0", NULL);
5629 ctl->ret_cldz = (int) scan_ctl(argc, argv, "RET_CLDZ", -1, "0", NULL);
5630 ctl->ret_clk = (int) scan_ctl(argc, argv, "RET_CLK", -1, "0", NULL);
5631 ctl->ret_sft = (int) scan_ctl(argc, argv, "RET_SFT", -1, "0", NULL);
5632 ctl->ret_sfeps = (int) scan_ctl(argc, argv, "RET_SFEPS", -1, "0", NULL);
5633
5634 /* Output flags... */
5635 ctl->write_bbt = (int) scan_ctl(argc, argv, "WRITE_BBT", -1, "0", NULL);
5636 ctl->write_matrix =
5637 (int) scan_ctl(argc, argv, "WRITE_MATRIX", -1, "0", NULL);
5638
5639 /* External forward models... */
5640 ctl->formod = (int) scan_ctl(argc, argv, "FORMOD", -1, "1", NULL);
5641 scan_ctl(argc, argv, "RFMBIN", -1, "-", ctl->rfmbin);
5642 scan_ctl(argc, argv, "RFMHIT", -1, "-", ctl->rfmhit);
5643 for (int ig = 0; ig < ctl->ng; ig++)
5644 scan_ctl(argc, argv, "RFMXSC", ig, "-", ctl->rfmxsc[ig]);
5645}
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:6618
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:6297
int write_matrix
Write matrix file (0=no, 1=yes).
Definition: jurassic.h:1572
char tblbase[LEN]
Basename for table files and filter function files.
Definition: jurassic.h:1479
int matrixfmt
Matrix data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1491
int obsfmt
Observation data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1488
int tblfmt
Look-up table file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1482
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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 5649 of file jurassic.c.

5654 {
5655
5656 /* Read ASCII data... */
5657 if (ctl->matrixfmt == 1)
5658 read_matrix_asc(dirname, filename, matrix);
5659
5660 /* Read binary data... */
5661 else if (ctl->matrixfmt == 2)
5662 read_matrix_bin(dirname, filename, matrix);
5663
5664 /* Read netCDF data... */
5665 else if (ctl->matrixfmt == 3)
5666 read_matrix_nc(dirname, filename, matrix, dataset);
5667
5668 /* Error... */
5669 else
5670 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
5671}
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:5767
void read_matrix_asc(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from an ASCII file.
Definition: jurassic.c:5675
void read_matrix_bin(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from a binary file.
Definition: jurassic.c:5714
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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 5675 of file jurassic.c.

5678 {
5679
5680 char dum[LEN], file[LEN], line[LEN];
5681
5682 double value;
5683
5684 int i, j;
5685
5686 /* Set filename... */
5687 if (dirname != NULL)
5688 sprintf(file, "%s/%s", dirname, filename);
5689 else
5690 sprintf(file, "%s", filename);
5691
5692 /* Write info... */
5693 LOG(1, "Read matrix: %s", file);
5694
5695 /* Open file... */
5696 FILE *in;
5697 if (!(in = fopen(file, "r")))
5698 ERRMSG("Cannot open file!");
5699
5700 /* Read data... */
5701 gsl_matrix_set_zero(matrix);
5702 while (fgets(line, LEN, in))
5703 if (sscanf(line, "%d %s %s %s %s %s %d %s %s %s %s %s %lg",
5704 &i, dum, dum, dum, dum, dum,
5705 &j, dum, dum, dum, dum, dum, &value) == 13)
5706 gsl_matrix_set(matrix, (size_t) i, (size_t) j, value);
5707
5708 /* Close file... */
5709 fclose(in);
5710}

◆ 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 5714 of file jurassic.c.

5717 {
5718
5719 char file[LEN], magic[4];
5720 size_t nr, nc;
5721
5722 /* Set filename... */
5723 if (dirname != NULL)
5724 sprintf(file, "%s/%s", dirname, filename);
5725 else
5726 sprintf(file, "%s", filename);
5727
5728 /* Write info... */
5729 LOG(1, "Read matrix: %s", file);
5730
5731 /* Open file... */
5732 FILE *in;
5733 if (!(in = fopen(file, "r")))
5734 ERRMSG("Cannot open file!");
5735
5736 /* Read header... */
5737 FREAD(magic, char,
5738 4,
5739 in);
5740 if (memcmp(magic, "MAT1", 4) != 0)
5741 ERRMSG("Invalid magic string!");
5742 FREAD(&nr, size_t,
5743 1,
5744 in);
5745 FREAD(&nc, size_t,
5746 1,
5747 in);
5748 if (nr != matrix->size1 || nc != matrix->size2)
5749 ERRMSG("Error reading file header!");
5750
5751 /* Read data... */
5752 for (size_t i = 0; i < nr; i++)
5753 for (size_t j = 0; j < nc; j++) {
5754 double value;
5755 FREAD(&value, double,
5756 1,
5757 in);
5758 gsl_matrix_set(matrix, i, j, value);
5759 }
5760
5761 /* Close file... */
5762 fclose(in);
5763}

◆ 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 5767 of file jurassic.c.

5771 {
5772
5773 char file[LEN];
5774
5775 int ncid, dimid_row, dimid_col, varid;
5776
5777 size_t nr, nc;
5778
5779 /* Set filename... */
5780 if (dirname != NULL)
5781 sprintf(file, "%s/%s", dirname, filename);
5782 else
5783 sprintf(file, "%s", filename);
5784
5785 /* Write info... */
5786 LOG(1, "Read matrix: %s", file);
5787
5788 /* Open file... */
5789 NC(nc_open(file, NC_NOWRITE, &ncid));
5790
5791 /* Read dimensions... */
5792 NC(nc_inq_dimid(ncid, "row", &dimid_row));
5793 NC(nc_inq_dimid(ncid, "col", &dimid_col));
5794 NC(nc_inq_dimlen(ncid, dimid_row, &nr));
5795 NC(nc_inq_dimlen(ncid, dimid_col, &nc));
5796 if (nr != matrix->size1 || nc != matrix->size2)
5797 ERRMSG("Error reading file header!");
5798
5799 /* Read data... */
5800 NC(nc_inq_varid(ncid, "matrix", &varid));
5801 for (size_t i = 0; i < nr; i++)
5802 for (size_t j = 0; j < nc; j++) {
5803 double value;
5804 size_t start[3] = { (size_t) dataset, i, j };
5805 size_t count[3] = { 1, 1, 1 };
5806 NC(nc_get_vara_double(ncid, varid, start, count, &value));
5807 gsl_matrix_set(matrix, i, j, value);
5808 }
5809
5810 /* Close file... */
5811 NC(nc_close(ncid));
5812}

◆ 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 5816 of file jurassic.c.

5821 {
5822
5823 /* Set filename... */
5824 char file[LEN];
5825 if (dirname != NULL)
5826 sprintf(file, "%s/%s", dirname, filename);
5827 else
5828 sprintf(file, "%s", filename);
5829
5830 /* Write info... */
5831 LOG(1, "Read observation data: %s", file);
5832
5833 /* Read ASCII data... */
5834 if (ctl->obsfmt == 1)
5835 read_obs_asc(file, ctl, obs);
5836
5837 /* Read binary data... */
5838 else if (ctl->obsfmt == 2)
5839 read_obs_bin(file, ctl, obs);
5840
5841 /* Read netCDF data... */
5842 else if (ctl->obsfmt == 3)
5843 read_obs_nc(file, ctl, obs, profile);
5844
5845 /* Check number of points... */
5846 if (obs->nr < 1)
5847 ERRMSG("Could not read any data!");
5848
5849 /* Write info... */
5850 double mini, maxi;
5851 LOG(2, "Number of ray paths: %d", obs->nr);
5852 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
5853 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5854 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
5855 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
5856 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
5857 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
5858 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
5859 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
5860 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
5861 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
5862 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
5863 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
5864 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
5865 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
5866 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
5867 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
5868 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
5869 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
5870 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
5871 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
5872 for (int id = 0; id < ctl->nd; id++) {
5873 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
5874 if (ctl->write_bbt) {
5875 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
5876 ctl->nu[id], mini, maxi);
5877 } else {
5878 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
5879 ctl->nu[id], mini, maxi);
5880 }
5881 }
5882 for (int id = 0; id < ctl->nd; id++) {
5883 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
5884 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
5885 ctl->nu[id], mini, maxi);
5886 }
5887}
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:5935
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:6013
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:5891
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 5891 of file jurassic.c.

5894 {
5895
5896 /* Init... */
5897 obs->nr = 0;
5898
5899 /* Open file... */
5900 FILE *in;
5901 if (!(in = fopen(filename, "r")))
5902 ERRMSG("Cannot open file!");
5903
5904 /* Read line... */
5905 char line[LEN], *tok;
5906 while (fgets(line, LEN, in)) {
5907
5908 /* Read data... */
5909 TOK(line, tok, "%lg", obs->time[obs->nr]);
5910 TOK(NULL, tok, "%lg", obs->obsz[obs->nr]);
5911 TOK(NULL, tok, "%lg", obs->obslon[obs->nr]);
5912 TOK(NULL, tok, "%lg", obs->obslat[obs->nr]);
5913 TOK(NULL, tok, "%lg", obs->vpz[obs->nr]);
5914 TOK(NULL, tok, "%lg", obs->vplon[obs->nr]);
5915 TOK(NULL, tok, "%lg", obs->vplat[obs->nr]);
5916 TOK(NULL, tok, "%lg", obs->tpz[obs->nr]);
5917 TOK(NULL, tok, "%lg", obs->tplon[obs->nr]);
5918 TOK(NULL, tok, "%lg", obs->tplat[obs->nr]);
5919 for (int id = 0; id < ctl->nd; id++)
5920 TOK(NULL, tok, "%lg", obs->rad[id][obs->nr]);
5921 for (int id = 0; id < ctl->nd; id++)
5922 TOK(NULL, tok, "%lg", obs->tau[id][obs->nr]);
5923
5924 /* Increment counter... */
5925 if ((++obs->nr) > NR)
5926 ERRMSG("Too many rays!");
5927 }
5928
5929 /* Close file... */
5930 fclose(in);
5931}

◆ 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 5935 of file jurassic.c.

5938 {
5939
5940 /* Open file... */
5941 FILE *in;
5942 if (!(in = fopen(filename, "r")))
5943 ERRMSG("Cannot open file!");
5944
5945 /* Read header... */
5946 char magic[4];
5947 FREAD(magic, char,
5948 4,
5949 in);
5950 if (memcmp(magic, "OBS1", 4) != 0)
5951 ERRMSG("Invalid magic string!");
5952
5953 int nd;
5954 FREAD(&nd, int,
5955 1,
5956 in);
5957 if (nd != ctl->nd)
5958 ERRMSG("Error reading file header!");
5959
5960 /* Read data... */
5961 size_t nr;
5962 FREAD(&nr, size_t,
5963 1,
5964 in);
5965 obs->nr = (int) nr;
5966 if (obs->nr > NR)
5967 ERRMSG("Too many ray paths!");
5968 FREAD(obs->time, double,
5969 nr,
5970 in);
5971 FREAD(obs->obsz, double,
5972 nr,
5973 in);
5974 FREAD(obs->obslon, double,
5975 nr,
5976 in);
5977 FREAD(obs->obslat, double,
5978 nr,
5979 in);
5980 FREAD(obs->vpz, double,
5981 nr,
5982 in);
5983 FREAD(obs->vplon, double,
5984 nr,
5985 in);
5986 FREAD(obs->vplat, double,
5987 nr,
5988 in);
5989 FREAD(obs->tpz, double,
5990 nr,
5991 in);
5992 FREAD(obs->tplon, double,
5993 nr,
5994 in);
5995 FREAD(obs->tplat, double,
5996 nr,
5997 in);
5998 for (int id = 0; id < ctl->nd; id++)
5999 FREAD(obs->rad[id], double,
6000 nr,
6001 in);
6002 for (int id = 0; id < ctl->nd; id++)
6003 FREAD(obs->tau[id], double,
6004 nr,
6005 in);
6006
6007 /* Close file... */
6008 fclose(in);
6009}

◆ 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 6013 of file jurassic.c.

6017 {
6018
6019 int ncid, var_nray = -1, var_time = -1, var_obsz = -1, var_obslon =
6020 -1, var_obslat = -1, var_vpz = -1, var_vplon = -1, var_vplat =
6021 -1, var_tpz = -1, var_tplon = -1, var_tplat =
6022 -1, var_rad[ND], var_tau[ND];
6023 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
6024
6025 /* Open file... */
6026 NC(nc_open(filename, NC_NOWRITE, &ncid));
6027
6028 /* Initialize hyperslab... */
6029 size_t start[2] = { (size_t) profile, 0 };
6030 size_t count[2] = { 1, 0 };
6031
6032 /* Read nray(profile) -> obs->nr */
6033 NC(nc_inq_varid(ncid, "nray", &var_nray));
6034 NC(nc_get_vara_int(ncid, var_nray, start, count, &obs->nr));
6035 if (obs->nr < 1 || obs->nr > NR)
6036 ERRMSG("Number of ray paths out of range!");
6037
6038 /* Update hyperslab... */
6039 count[1] = (size_t) obs->nr;
6040
6041 /* Inquire geometry variables... */
6042 NC(nc_inq_varid(ncid, "time", &var_time));
6043 NC(nc_inq_varid(ncid, "obs_z", &var_obsz));
6044 NC(nc_inq_varid(ncid, "obs_lon", &var_obslon));
6045 NC(nc_inq_varid(ncid, "obs_lat", &var_obslat));
6046
6047 NC(nc_inq_varid(ncid, "vp_z", &var_vpz));
6048 NC(nc_inq_varid(ncid, "vp_lon", &var_vplon));
6049 NC(nc_inq_varid(ncid, "vp_lat", &var_vplat));
6050
6051 NC(nc_inq_varid(ncid, "tp_z", &var_tpz));
6052 NC(nc_inq_varid(ncid, "tp_lon", &var_tplon));
6053 NC(nc_inq_varid(ncid, "tp_lat", &var_tplat));
6054
6055 /* Inquire spectral variables per channel... */
6056 for (int id = 0; id < ctl->nd; id++) {
6057 char varname[LEN];
6058
6059 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
6060 NC(nc_inq_varid(ncid, varname, &var_rad[id]));
6061
6062 sprintf(varname, "tau_%.4f", ctl->nu[id]);
6063 NC(nc_inq_varid(ncid, varname, &var_tau[id]));
6064 }
6065
6066 /* Read geometry... */
6067 NC(nc_get_vara_double(ncid, var_time, start, count, obs->time));
6068 NC(nc_get_vara_double(ncid, var_obsz, start, count, obs->obsz));
6069 NC(nc_get_vara_double(ncid, var_obslon, start, count, obs->obslon));
6070 NC(nc_get_vara_double(ncid, var_obslat, start, count, obs->obslat));
6071
6072 NC(nc_get_vara_double(ncid, var_vpz, start, count, obs->vpz));
6073 NC(nc_get_vara_double(ncid, var_vplon, start, count, obs->vplon));
6074 NC(nc_get_vara_double(ncid, var_vplat, start, count, obs->vplat));
6075
6076 NC(nc_get_vara_double(ncid, var_tpz, start, count, obs->tpz));
6077 NC(nc_get_vara_double(ncid, var_tplon, start, count, obs->tplon));
6078 NC(nc_get_vara_double(ncid, var_tplat, start, count, obs->tplat));
6079
6080 /* Read radiance and transmittance... */
6081 for (int id = 0; id < ctl->nd; id++) {
6082 NC(nc_get_vara_double(ncid, var_rad[id], start, count, obs->rad[id]));
6083 NC(nc_get_vara_double(ncid, var_tau[id], start, count, obs->tau[id]));
6084 }
6085
6086 /* Close file... */
6087 NC(nc_close(ncid));
6088}

◆ 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 6092 of file jurassic.c.

6097 {
6098
6099 double fsum = 0, nu2[NSHAPE], *nurfm, *rad, radsum = 0;
6100
6101 int npts;
6102
6103 /* Allocate... */
6104 ALLOC(nurfm, double,
6105 RFMNPTS);
6106 ALLOC(rad, double,
6107 RFMNPTS);
6108
6109 /* Search RFM spectrum... */
6110 FILE *in;
6111 char filename[LEN];
6112 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000));
6113 if (!(in = fopen(filename, "r"))) {
6114 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000) + 1);
6115 if (!(in = fopen(filename, "r")))
6116 ERRMSG("Cannot find RFM data file!");
6117 }
6118 fclose(in);
6119
6120 /* Read RFM spectrum... */
6121 read_rfm_spec(filename, nurfm, rad, &npts);
6122
6123 /* Set wavenumbers... */
6124 nu2[0] = nu[0];
6125 nu2[n - 1] = nu[n - 1];
6126 for (int i = 1; i < n - 1; i++)
6127 nu2[i] = LIN(0.0, nu2[0], n - 1.0, nu2[n - 1], i);
6128
6129 /* Convolute... */
6130 for (int ipts = 0; ipts < npts; ipts++)
6131 if (nurfm[ipts] >= nu2[0] && nurfm[ipts] <= nu2[n - 1]) {
6132 const int idx = locate_irr(nu2, n, nurfm[ipts]);
6133 const double filt =
6134 LIN(nu2[idx], f[idx], nu2[idx + 1], f[idx + 1], nurfm[ipts]);
6135 fsum += filt;
6136 radsum += filt * rad[ipts];
6137 }
6138
6139 /* Free... */
6140 free(nurfm);
6141 free(rad);
6142
6143 /* Return radiance... */
6144 return radsum / fsum;
6145}
void read_rfm_spec(const char *filename, double *nu, double *rad, int *npts)
Read a Reference Forward Model (RFM) ASCII spectrum.
Definition: jurassic.c:6237
#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 6149 of file jurassic.c.

6153 {
6154
6155 /* Iteration control... */
6156 ret->kernel_recomp =
6157 (int) scan_ctl(argc, argv, "KERNEL_RECOMP", -1, "3", NULL);
6158 ret->conv_itmax = (int) scan_ctl(argc, argv, "CONV_ITMAX", -1, "30", NULL);
6159 ret->conv_dmin = scan_ctl(argc, argv, "CONV_DMIN", -1, "0.1", NULL);
6160
6161 /* Error analysis... */
6162 ret->err_ana = (int) scan_ctl(argc, argv, "ERR_ANA", -1, "0", NULL);
6163
6164 for (int id = 0; id < ctl->nd; id++)
6165 ret->err_formod[id] = scan_ctl(argc, argv, "ERR_FORMOD", id, "0", NULL);
6166
6167 for (int id = 0; id < ctl->nd; id++)
6168 ret->err_noise[id] = scan_ctl(argc, argv, "ERR_NOISE", id, "0", NULL);
6169
6170 ret->err_press = scan_ctl(argc, argv, "ERR_PRESS", -1, "0", NULL);
6171 ret->err_press_cz = scan_ctl(argc, argv, "ERR_PRESS_CZ", -1, "-999", NULL);
6172 ret->err_press_ch = scan_ctl(argc, argv, "ERR_PRESS_CH", -1, "-999", NULL);
6173
6174 ret->err_temp = scan_ctl(argc, argv, "ERR_TEMP", -1, "0", NULL);
6175 ret->err_temp_cz = scan_ctl(argc, argv, "ERR_TEMP_CZ", -1, "-999", NULL);
6176 ret->err_temp_ch = scan_ctl(argc, argv, "ERR_TEMP_CH", -1, "-999", NULL);
6177
6178 for (int ig = 0; ig < ctl->ng; ig++) {
6179 ret->err_q[ig] = scan_ctl(argc, argv, "ERR_Q", ig, "0", NULL);
6180 ret->err_q_cz[ig] = scan_ctl(argc, argv, "ERR_Q_CZ", ig, "-999", NULL);
6181 ret->err_q_ch[ig] = scan_ctl(argc, argv, "ERR_Q_CH", ig, "-999", NULL);
6182 }
6183
6184 for (int iw = 0; iw < ctl->nw; iw++) {
6185 ret->err_k[iw] = scan_ctl(argc, argv, "ERR_K", iw, "0", NULL);
6186 ret->err_k_cz[iw] = scan_ctl(argc, argv, "ERR_K_CZ", iw, "-999", NULL);
6187 ret->err_k_ch[iw] = scan_ctl(argc, argv, "ERR_K_CH", iw, "-999", NULL);
6188 }
6189
6190 ret->err_clz = scan_ctl(argc, argv, "ERR_CLZ", -1, "0", NULL);
6191 ret->err_cldz = scan_ctl(argc, argv, "ERR_CLDZ", -1, "0", NULL);
6192 for (int icl = 0; icl < ctl->ncl; icl++)
6193 ret->err_clk[icl] = scan_ctl(argc, argv, "ERR_CLK", icl, "0", NULL);
6194
6195 ret->err_sft = scan_ctl(argc, argv, "ERR_SFT", -1, "0", NULL);
6196 for (int isf = 0; isf < ctl->nsf; isf++)
6197 ret->err_sfeps[isf] = scan_ctl(argc, argv, "ERR_SFEPS", isf, "0", NULL);
6198
6199 /* Shared retrieval I/O... */
6200 ret->shared_io_profile = 0;
6201 scan_ctl(argc, argv, "SHARED_IO_PROFLIST", -1, "-",
6202 ret->shared_io_proflist);
6203 scan_ctl(argc, argv, "SHARED_IO_ATM_APR_FILE", -1, "-",
6205 scan_ctl(argc, argv, "SHARED_IO_OBS_MEAS_FILE", -1, "-",
6207 scan_ctl(argc, argv, "SHARED_IO_ATM_FINAL_FILE", -1, "-",
6209 scan_ctl(argc, argv, "SHARED_IO_OBS_FINAL_FILE", -1, "-",
6211 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_APR_FILE", -1, "-",
6213 scan_ctl(argc, argv, "SHARED_IO_MATRIX_KERNEL_FILE", -1, "-",
6215 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_RET_FILE", -1, "-",
6217 scan_ctl(argc, argv, "SHARED_IO_MATRIX_CORR_FILE", -1, "-",
6219 scan_ctl(argc, argv, "SHARED_IO_MATRIX_GAIN_FILE", -1, "-",
6221 scan_ctl(argc, argv, "SHARED_IO_MATRIX_AVK_FILE", -1, "-",
6223 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_TOTAL_FILE", -1, "-",
6225 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_NOISE_FILE", -1, "-",
6227 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_FORMOD_FILE", -1, "-",
6229 scan_ctl(argc, argv, "SHARED_IO_ATM_CONT_FILE", -1, "-",
6231 scan_ctl(argc, argv, "SHARED_IO_ATM_RES_FILE", -1, "-",
6233}
double err_press_cz
Vertical correlation length for pressure error [km].
Definition: jurassic.h:1736
double err_press
Pressure error [%].
Definition: jurassic.h:1733
double err_k_cz[NW]
Vertical correlation length for extinction error [km].
Definition: jurassic.h:1763
double err_k_ch[NW]
Horizontal correlation length for extinction error [km].
Definition: jurassic.h:1766
double err_temp_cz
Vertical correlation length for temperature error [km].
Definition: jurassic.h:1745
double err_formod[ND]
Forward model error [%].
Definition: jurassic.h:1727
double err_temp
Temperature error [K].
Definition: jurassic.h:1742
double err_q_cz[NG]
Vertical correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1754
char shared_io_proflist[LEN]
Optional file containing retrieval profile indices.
Definition: jurassic.h:1787
double err_noise[ND]
Noise error [W/(m^2 sr cm^-1)].
Definition: jurassic.h:1730
double err_clz
Cloud height error [km].
Definition: jurassic.h:1769
double err_sft
Surface temperature error [K].
Definition: jurassic.h:1778
double err_clk[NCL]
Cloud extinction error [km^-1].
Definition: jurassic.h:1775
char shared_io_obs_meas_file[LEN]
Optional shared measured-observation input file.
Definition: jurassic.h:1793
char shared_io_atm_apr_file[LEN]
Optional shared atmospheric a priori input file.
Definition: jurassic.h:1790
double err_temp_ch
Horizontal correlation length for temperature error [km].
Definition: jurassic.h:1748
char shared_io_atm_err_formod_file[LEN]
Optional shared forward-model retrieval-error output file.
Definition: jurassic.h:1826
double err_cldz
Cloud depth error [km].
Definition: jurassic.h:1772
double err_press_ch
Horizontal correlation length for pressure error [km].
Definition: jurassic.h:1739
double err_q_ch[NG]
Horizontal correlation length for volume mixing ratio error [km].
Definition: jurassic.h:1757
char shared_io_atm_err_total_file[LEN]
Optional shared total retrieval-error output file.
Definition: jurassic.h:1820
double err_q[NG]
Volume mixing ratio error [%].
Definition: jurassic.h:1751
char shared_io_atm_err_noise_file[LEN]
Optional shared noise retrieval-error output file.
Definition: jurassic.h:1823
double err_sfeps[NSF]
Surface emissivity error.
Definition: jurassic.h:1781
int shared_io_profile
Profile index used for shared netCDF retrieval inputs and outputs.
Definition: jurassic.h:1784
double err_k[NW]
Extinction error [km^-1].
Definition: jurassic.h:1760
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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 6237 of file jurassic.c.

6241 {
6242
6243 char *line = NULL, *tok;
6244
6245 size_t line_buf_size = 0;
6246
6247 double dnu, nu0, nu1;
6248
6249 int ipts = 0;
6250
6251 /* Write info... */
6252 LOG(1, "Read RFM data: %s", filename);
6253
6254 /* Open file... */
6255 FILE *in;
6256 if (!(in = fopen(filename, "r")))
6257 ERRMSG("Cannot open file!");
6258
6259 /* Read header... */
6260 for (int i = 0; i < 4; i++)
6261 if (getline(&line, &line_buf_size, in) == -1)
6262 ERRMSG("Error while reading file header!");
6263 if (sscanf(line, "%d %lg %lg %lg", npts, &nu0, &dnu, &nu1) != 4)
6264 ERRMSG("Invalid spectrum header format!");
6265
6266 /* Check number of spectral grid points... */
6267 if (*npts > RFMNPTS)
6268 ERRMSG("Too many spectral grid points!");
6269
6270 /* Read radiance data... */
6271 while (getline(&line, &line_buf_size, in) != -1 && ipts < *npts) {
6272 tok = strtok(line, " \t\n");
6273 while (tok != NULL && ipts < *npts) {
6274 if (sscanf(tok, "%lg", &rad[ipts]) == 1)
6275 ipts++;
6276 tok = strtok(NULL, " \t\n");
6277 }
6278 }
6279
6280 /* Check number of spectral grid points... */
6281 if (ipts != *npts)
6282 ERRMSG("Error while reading RFM data!");
6283
6284 /* Compute wavenumbers... */
6285 for (ipts = 0; ipts < *npts; ipts++)
6286 nu[ipts] = LIN(0.0, nu0, (double) (*npts - 1), nu1, (double) ipts);
6287
6288 /* Close file... */
6289 fclose(in);
6290
6291 /* Free.. */
6292 free(line);
6293}

◆ 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 6297 of file jurassic.c.

6301 {
6302
6303 char line[LEN];
6304
6305 /* Write info... */
6306 LOG(1, "Read shape function: %s", filename);
6307
6308 /* Open file... */
6309 FILE *in;
6310 if (!(in = fopen(filename, "r")))
6311 ERRMSG("Cannot open file!");
6312
6313 /* Read data... */
6314 *n = 0;
6315 while (fgets(line, LEN, in))
6316 if (sscanf(line, "%lg %lg", &x[*n], &y[*n]) == 2)
6317 if ((++(*n)) > NSHAPE)
6318 ERRMSG("Too many data points!");
6319
6320 /* Close file... */
6321 fclose(in);
6322
6323 /* Check number of data points... */
6324 if (*n < 2)
6325 ERRMSG("Could not read any data!");
6326
6327 /* Write info... */
6328 double mini, maxi;
6329 LOG(2, "Number of data points: %d", *n);
6330 gsl_stats_minmax(&mini, &maxi, x, 1, (size_t) *n);
6331 LOG(2, "Range of x values: %.4f ... %.4f", mini, maxi);
6332 gsl_stats_minmax(&mini, &maxi, y, 1, (size_t) *n);
6333 LOG(2, "Range of y values: %g ... %g", mini, maxi);
6334}

◆ 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 6338 of file jurassic.c.

6339 {
6340
6341 /* Allocate... */
6342 tbl_t *tbl;
6343 ALLOC(tbl, tbl_t, 1);
6344
6345 /* Initialize filter function sizes... */
6346 for (int id = 0; id < ctl->nd; id++)
6347 tbl->filt_n[id] = 0;
6348
6349 /* Loop over trace gases... */
6350 for (int ig = 0; ig < ctl->ng; ig++) {
6351
6352 /* Read ASCII look-up tables... */
6353 if (ctl->tblfmt == 1)
6354 for (int id = 0; id < ctl->nd; id++) {
6355 read_tbl_asc(ctl, tbl, id, ig);
6356 TBL_LOG(tbl, id, ig);
6357 }
6358
6359 /* Read binary look-up tables... */
6360 else if (ctl->tblfmt == 2)
6361 for (int id = 0; id < ctl->nd; id++) {
6362 read_tbl_bin(ctl, tbl, id, ig);
6363 TBL_LOG(tbl, id, ig);
6364 }
6365
6366 /* Read netCDF look-up tables... */
6367 else if (ctl->tblfmt == 3) {
6368
6369 /* Open file... */
6370 int ncid;
6371 char filename[2 * LEN];
6372 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
6373 if (nc_open(filename, NC_NOWRITE, &ncid) != NC_NOERR) {
6374 WARN("Missing emissivity table: %s", filename);
6375 continue;
6376 } else
6377 LOG(1, "Read emissivity table: %s", filename);
6378
6379 /* Read channels... */
6380 for (int id = 0; id < ctl->nd; id++) {
6381 read_tbl_nc_channel(ctl, tbl, id, ig, ncid);
6382 TBL_LOG(tbl, id, ig);
6383 }
6384
6385 /* Close file... */
6386 NC(nc_close(ncid));
6387 }
6388 }
6389
6390 /* Calculate log-pressure... */
6391 for (int id = 0; id < ctl->nd; id++)
6392 for (int ig = 0; ig < ctl->ng; ig++)
6393 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
6394 tbl->lnp[id][ig][ip] = log(tbl->p[id][ig][ip]);
6395
6396 /* Read filter functions... */
6397 if (ctl->tblfmt == 1)
6398 for (int id = 0; id < ctl->nd; id++) {
6399 char filename[2 * LEN];
6400 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
6401 read_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
6402 &tbl->filt_n[id]);
6403 }
6404
6405 /* Initialize source function lookup tables... */
6406 init_srcfunc(ctl, tbl);
6407
6408 /* Return pointer... */
6409 return tbl;
6410}
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:6537
void init_srcfunc(const ctl_t *ctl, tbl_t *tbl)
Initialize source function lookup tables from emissivity data.
Definition: jurassic.c:4002
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:6414
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:6581
#define TBL_LOG(tbl, id, ig)
Log detailed statistics of an emissivity look-up table.
Definition: jurassic.h:1124
Emissivity look-up tables.
Definition: jurassic.h:1842
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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 6414 of file jurassic.c.

6418 {
6419
6420 /* Initialize... */
6421 double eps, eps_old = -999, press, press_old = -999, temp,
6422 temp_old = -999, u, u_old = -999;
6423 int nrange = 0;
6424
6425 /* Set filename... */
6426 char filename[2 * LEN];
6427 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
6428 ctl->nu[id], ctl->emitter[ig]);
6429
6430 /* Open file... */
6431 FILE *in;
6432 if (!(in = fopen(filename, "r"))) {
6433 WARN("Missing emissivity table: %s", filename);
6434 return;
6435 } else
6436 LOG(1, "Read emissivity table: %s", filename);
6437
6438 /* Init pressure level counter... */
6439 tbl->np[id][ig] = -1;
6440
6441 /* Read data... */
6442 char line[LEN];
6443 while (fgets(line, LEN, in)) {
6444
6445 /* Parse line... */
6446 if (sscanf(line, "%lg %lg %lg %lg", &press, &temp, &u, &eps) != 4)
6447 continue;
6448
6449 /* Check ranges... */
6450 if (u < UMIN || u > UMAX || eps < EPSMIN || eps > EPSMAX) {
6451 nrange++;
6452 continue;
6453 }
6454
6455 /* Determine pressure index... */
6456 if (press != press_old) {
6457 press_old = press;
6458 if ((++tbl->np[id][ig]) >= TBLNP)
6459 ERRMSG("Too many pressure levels!");
6460 tbl->nt[id][ig][tbl->np[id][ig]] = -1;
6461 }
6462
6463 /* Determine temperature index... */
6464 if (temp != temp_old) {
6465 temp_old = temp;
6466 if ((++tbl->nt[id][ig][tbl->np[id][ig]]) >= TBLNT)
6467 ERRMSG("Too many temperatures!");
6468 tbl->nu[id][ig][tbl->np[id][ig]]
6469 [tbl->nt[id][ig][tbl->np[id][ig]]] = -1;
6470
6471 /* Reset dynamic arrays for this (ip,it) node... */
6472 tbl->logu[id][ig][tbl->np[id][ig]]
6473 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6474 tbl->logeps[id][ig][tbl->np[id][ig]]
6475 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6476 }
6477
6478 /* Determine column density index... */
6479 if ((eps > eps_old && u > u_old) || tbl->nu[id][ig][tbl->np[id][ig]]
6480 [tbl->nt[id][ig][tbl->np[id][ig]]] < 0) {
6481 eps_old = eps;
6482 u_old = u;
6483 if ((++tbl->nu[id][ig][tbl->np[id][ig]]
6484 [tbl->nt[id][ig][tbl->np[id][ig]]]) >= TBLNU)
6485 ERRMSG("Too many column densities!");
6486
6487 /* Grow dynamic arrays (nu is used as an index during reading). */
6488 const int ip = tbl->np[id][ig];
6489 const int it = tbl->nt[id][ig][ip];
6490 const int iu = tbl->nu[id][ig][ip][it];
6491 const size_t nnew = (size_t) (iu + 1);
6492
6493 float *tmp = (float *) realloc(tbl->logu[id][ig][ip][it],
6494 nnew * sizeof(float));
6495 if (!tmp)
6496 ERRMSG("Out of memory!");
6497 tbl->logu[id][ig][ip][it] = tmp;
6498
6499 tmp =
6500 (float *) realloc(tbl->logeps[id][ig][ip][it], nnew * sizeof(float));
6501 if (!tmp)
6502 ERRMSG("Out of memory!");
6503 tbl->logeps[id][ig][ip][it] = tmp;
6504 }
6505
6506 /* Store data... */
6507 tbl->p[id][ig][tbl->np[id][ig]] = press;
6508 tbl->t[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6509 = temp;
6510 tbl->logu[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6511 [tbl->nu[id][ig][tbl->np[id][ig]]
6512 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(u);
6513 tbl->logeps[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6514 [tbl->nu[id][ig][tbl->np[id][ig]]
6515 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(eps);
6516 }
6517
6518 /* Increment counters... */
6519 tbl->np[id][ig]++;
6520 for (int ip = 0; ip < tbl->np[id][ig]; ip++) {
6521 tbl->nt[id][ig][ip]++;
6522 for (int it = 0; it < tbl->nt[id][ig][ip]; it++)
6523 tbl->nu[id][ig][ip][it]++;
6524 }
6525
6526 /* Check ranges... */
6527 if (nrange > 0)
6528 WARN("Column density or emissivity out of range (%d data points)!",
6529 nrange);
6530
6531 /* Close file... */
6532 fclose(in);
6533}
#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 6537 of file jurassic.c.

6541 {
6542
6543 /* Set filename... */
6544 char filename[2 * LEN];
6545 sprintf(filename, "%s_%.4f_%s.bin",
6546 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
6547
6548 /* Open file... */
6549 FILE *in = fopen(filename, "rb");
6550 if (!in) {
6551 WARN("Missing emissivity table: %s", filename);
6552 return;
6553 } else
6554 LOG(1, "Read emissivity table: %s", filename);
6555
6556 /* Read length.. */
6557 size_t nbytes;
6558 FREAD(&nbytes, size_t,
6559 1,
6560 in);
6561 if (nbytes <= 0)
6562 ERRMSG("Invalid packed table size!");
6563
6564 /* Read packed blob... */
6565 uint8_t *work = NULL;
6566 ALLOC(work, uint8_t, nbytes);
6567 FREAD(work, uint8_t, nbytes, in);
6568
6569 /* Unpack... */
6570 tbl_unpack(tbl, id, ig, work);
6571
6572 /* Close file... */
6573 fclose(in);
6574
6575 /* Free... */
6576 free(work);
6577}
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:7135
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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 6581 of file jurassic.c.

6586 {
6587
6588 char varname[LEN];
6589
6590 int varid, dimid;
6591
6592 size_t nbytes;
6593
6594 /* Inquire variable... */
6595 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
6596 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
6597 WARN("Missing emissivity table: %s", varname);
6598 return;
6599 } else
6600 LOG(1, "Read emissivity table: %s", varname);
6601 NC(nc_inq_vardimid(ncid, varid, &dimid));
6602 NC(nc_inq_dimlen(ncid, dimid, &nbytes));
6603
6604 /* Read variable... */
6605 uint8_t *work = NULL;
6606 ALLOC(work, uint8_t, nbytes);
6607 NC(nc_get_var_uchar(ncid, varid, (unsigned char *) work));
6608
6609 /* Unpack... */
6610 tbl_unpack(tbl, id, ig, work);
6611
6612 /* Free... */
6613 free(work);
6614}
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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 6618 of file jurassic.c.

6624 {
6625
6626 char dummy[LEN], fullname1[LEN], fullname2[LEN], line[LEN],
6627 rvarname[LEN], rval[LEN];
6628
6629 int contain = 0;
6630
6631 /* Open file... */
6632 FILE *in = NULL;
6633 if (argv[1][0] != '-')
6634 if (!(in = fopen(argv[1], "r")))
6635 ERRMSG("Cannot open file!");
6636
6637 /* Set full variable name... */
6638 if (arridx >= 0) {
6639 sprintf(fullname1, "%s[%d]", varname, arridx);
6640 sprintf(fullname2, "%s[*]", varname);
6641 } else {
6642 sprintf(fullname1, "%s", varname);
6643 sprintf(fullname2, "%s", varname);
6644 }
6645
6646 /* Read data... */
6647 if (in != NULL)
6648 while (fgets(line, LEN, in))
6649 if (sscanf(line, "%s %s %s", rvarname, dummy, rval) == 3)
6650 if (strcasecmp(rvarname, fullname1) == 0 ||
6651 strcasecmp(rvarname, fullname2) == 0) {
6652 contain = 1;
6653 break;
6654 }
6655 for (int i = 1; i < argc - 1; i++)
6656 if (strcasecmp(argv[i], fullname1) == 0 ||
6657 strcasecmp(argv[i], fullname2) == 0) {
6658 sprintf(rval, "%s", argv[i + 1]);
6659 contain = 1;
6660 break;
6661 }
6662
6663 /* Close file... */
6664 if (in != NULL)
6665 fclose(in);
6666
6667 /* Check for missing variables... */
6668 if (!contain) {
6669 if (strlen(defvalue) > 0)
6670 sprintf(rval, "%s", defvalue);
6671 else
6672 ERRMSG("Missing variable %s!\n", fullname1);
6673 }
6674
6675 /* Write info... */
6676 LOG(1, "%s = %s", fullname1, rval);
6677
6678 /* Return values... */
6679 if (value != NULL)
6680 sprintf(value, "%s", rval);
6681 return atof(rval);
6682}

◆ 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 6686 of file jurassic.c.

6692 {
6693
6694 /* Get sizes... */
6695 const size_t n = s_a->size1;
6696
6697 /* Allocate... */
6698 gsl_vector *x_a = gsl_vector_alloc(n);
6699
6700 /* Get sigma vector... */
6701 atm2x(ctl, atm, x_a, NULL, NULL);
6702 for (size_t i = 0; i < n; i++) {
6703 if (iqa[i] == IDXP)
6704 gsl_vector_set(x_a, i, ret->err_press / 100 * gsl_vector_get(x_a, i));
6705 if (iqa[i] == IDXT)
6706 gsl_vector_set(x_a, i, ret->err_temp);
6707 for (int ig = 0; ig < ctl->ng; ig++)
6708 if (iqa[i] == IDXQ(ig))
6709 gsl_vector_set(x_a, i, ret->err_q[ig] / 100 * gsl_vector_get(x_a, i));
6710 for (int iw = 0; iw < ctl->nw; iw++)
6711 if (iqa[i] == IDXK(iw))
6712 gsl_vector_set(x_a, i, ret->err_k[iw]);
6713 if (iqa[i] == IDXCLZ)
6714 gsl_vector_set(x_a, i, ret->err_clz);
6715 if (iqa[i] == IDXCLDZ)
6716 gsl_vector_set(x_a, i, ret->err_cldz);
6717 for (int icl = 0; icl < ctl->ncl; icl++)
6718 if (iqa[i] == IDXCLK(icl))
6719 gsl_vector_set(x_a, i, ret->err_clk[icl]);
6720 if (iqa[i] == IDXSFT)
6721 gsl_vector_set(x_a, i, ret->err_sft);
6722 for (int isf = 0; isf < ctl->nsf; isf++)
6723 if (iqa[i] == IDXSFEPS(isf))
6724 gsl_vector_set(x_a, i, ret->err_sfeps[isf]);
6725 }
6726
6727 /* Check standard deviations... */
6728 for (size_t i = 0; i < n; i++)
6729 if (POW2(gsl_vector_get(x_a, i)) <= 0)
6730 ERRMSG("Check a priori data (zero standard deviation)!");
6731
6732 /* Initialize diagonal covariance... */
6733 gsl_matrix_set_zero(s_a);
6734 for (size_t i = 0; i < n; i++)
6735 gsl_matrix_set(s_a, i, i, POW2(gsl_vector_get(x_a, i)));
6736
6737 /* Loop over matrix elements... */
6738 for (size_t i = 0; i < n; i++)
6739 for (size_t j = 0; j < n; j++)
6740 if (i != j && iqa[i] == iqa[j]) {
6741
6742 /* Initialize... */
6743 double cz = 0;
6744 double ch = 0;
6745
6746 /* Set correlation lengths for pressure... */
6747 if (iqa[i] == IDXP) {
6748 cz = ret->err_press_cz;
6749 ch = ret->err_press_ch;
6750 }
6751
6752 /* Set correlation lengths for temperature... */
6753 if (iqa[i] == IDXT) {
6754 cz = ret->err_temp_cz;
6755 ch = ret->err_temp_ch;
6756 }
6757
6758 /* Set correlation lengths for volume mixing ratios... */
6759 for (int ig = 0; ig < ctl->ng; ig++)
6760 if (iqa[i] == IDXQ(ig)) {
6761 cz = ret->err_q_cz[ig];
6762 ch = ret->err_q_ch[ig];
6763 }
6764
6765 /* Set correlation lengths for extinction... */
6766 for (int iw = 0; iw < ctl->nw; iw++)
6767 if (iqa[i] == IDXK(iw)) {
6768 cz = ret->err_k_cz[iw];
6769 ch = ret->err_k_ch[iw];
6770 }
6771
6772 /* Compute correlations... */
6773 if (cz > 0 && ch > 0) {
6774
6775 /* Get Cartesian coordinates... */
6776 double x0[3], x1[3];
6777 geo2cart(0, atm->lon[ipa[i]], atm->lat[ipa[i]], x0);
6778 geo2cart(0, atm->lon[ipa[j]], atm->lat[ipa[j]], x1);
6779
6780 /* Compute correlations... */
6781 const double rho =
6782 exp(-DIST(x0, x1) / ch -
6783 fabs(atm->z[ipa[i]] - atm->z[ipa[j]]) / cz);
6784
6785 /* Set covariance... */
6786 gsl_matrix_set(s_a, i, j, gsl_vector_get(x_a, i)
6787 * gsl_vector_get(x_a, j) * rho);
6788 }
6789 }
6790
6791 /* Free... */
6792 gsl_vector_free(x_a);
6793}
#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 6797 of file jurassic.c.

6803 {
6804
6805 /* Allocate... */
6806 obs_t *obs_err;
6807 ALLOC(obs_err, obs_t, 1);
6808
6809 /* Get size... */
6810 const size_t m = sig_eps_inv->size;
6811
6812 /* Noise error (always considered in retrieval fit)... */
6813 copy_obs(ctl, obs_err, obs, 1);
6814 for (int ir = 0; ir < obs_err->nr; ir++)
6815 for (int id = 0; id < ctl->nd; id++)
6816 obs_err->rad[id][ir]
6817 = (isfinite(obs->rad[id][ir]) ? ret->err_noise[id] : NAN);
6818 obs2y(ctl, obs_err, sig_noise, NULL, NULL);
6819
6820 /* Forward model error (always considered in retrieval fit)... */
6821 copy_obs(ctl, obs_err, obs, 1);
6822 for (int ir = 0; ir < obs_err->nr; ir++)
6823 for (int id = 0; id < ctl->nd; id++)
6824 obs_err->rad[id][ir]
6825 = fabs(ret->err_formod[id] / 100 * obs->rad[id][ir]);
6826 obs2y(ctl, obs_err, sig_formod, NULL, NULL);
6827
6828 /* Total error... */
6829 for (size_t i = 0; i < m; i++)
6830 gsl_vector_set(sig_eps_inv, i, 1 / sqrt(POW2(gsl_vector_get(sig_noise, i))
6831 +
6832 POW2(gsl_vector_get
6833 (sig_formod, i))));
6834
6835 /* Check standard deviations... */
6836 for (size_t i = 0; i < m; i++)
6837 if (gsl_vector_get(sig_eps_inv, i) <= 0)
6838 ERRMSG("Check measurement errors (zero standard deviation)!");
6839
6840 /* Free... */
6841 free(obs_err);
6842}
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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 6846 of file jurassic.c.

6851 {
6852
6853 if (shared_file[0] != '-') {
6854 *dirname = NULL;
6855 *profile = ret->shared_io_profile;
6856 return shared_file;
6857 }
6858
6859 *dirname = ret->dir;
6860 *profile = 0;
6861 return legacy_file;
6862}
char dir[LEN]
Working directory.
Definition: jurassic.h:1712

◆ 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 6866 of file jurassic.c.

6871 {
6872
6873 if (shared_file[0] != '-') {
6874 *dirname = NULL;
6875 *profile = ret->shared_io_profile;
6876 return shared_file;
6877 }
6878
6879 *dirname = ret->dir;
6880 *profile = 0;
6881 return legacy_file;
6882}

◆ 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 6886 of file jurassic.c.

6887 {
6888
6889 const char *base = shared_io_output_file(ret);
6890 if (base == NULL)
6891 return -1;
6892
6893 char lockfile[LEN];
6894 if (snprintf(lockfile, LEN, "%s.lock", base) >= LEN)
6895 ERRMSG("Lock file name too long!");
6896 int fd = open(lockfile, O_CREAT | O_RDWR, 0666);
6897 if (fd < 0)
6898 ERRMSG("Cannot open lock file!");
6899
6900 struct flock fl;
6901 fl.l_type = F_WRLCK;
6902 fl.l_whence = SEEK_SET;
6903 fl.l_start = 0;
6904 fl.l_len = 0;
6905 if (fcntl(fd, F_SETLKW, &fl) < 0)
6906 ERRMSG("Cannot lock shared output file!");
6907
6908 return fd;
6909}
const char * shared_io_output_file(const ret_t *ret)
Return the primary shared retrieval output file configured for locking.
Definition: jurassic.c:6931
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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 6913 of file jurassic.c.

6914 {
6915
6916 if (fd < 0)
6917 return;
6918
6919 struct flock fl;
6920 fl.l_type = F_UNLCK;
6921 fl.l_whence = SEEK_SET;
6922 fl.l_start = 0;
6923 fl.l_len = 0;
6924 if (fcntl(fd, F_SETLK, &fl) < 0)
6925 ERRMSG("Cannot unlock shared output file!");
6926 close(fd);
6927}

◆ 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 6931 of file jurassic.c.

6932 {
6933
6934 if (ret->shared_io_atm_final_file[0] != '-')
6935 return ret->shared_io_atm_final_file;
6936 if (ret->shared_io_obs_final_file[0] != '-')
6937 return ret->shared_io_obs_final_file;
6938 if (ret->shared_io_matrix_cov_apr_file[0] != '-')
6940 if (ret->shared_io_matrix_kernel_file[0] != '-')
6941 return ret->shared_io_matrix_kernel_file;
6942 if (ret->shared_io_matrix_cov_ret_file[0] != '-')
6944 if (ret->shared_io_matrix_corr_file[0] != '-')
6945 return ret->shared_io_matrix_corr_file;
6946 if (ret->shared_io_matrix_gain_file[0] != '-')
6947 return ret->shared_io_matrix_gain_file;
6948 if (ret->shared_io_matrix_avk_file[0] != '-')
6949 return ret->shared_io_matrix_avk_file;
6950 if (ret->shared_io_atm_err_total_file[0] != '-')
6951 return ret->shared_io_atm_err_total_file;
6952 if (ret->shared_io_atm_err_noise_file[0] != '-')
6953 return ret->shared_io_atm_err_noise_file;
6954 if (ret->shared_io_atm_err_formod_file[0] != '-')
6956 if (ret->shared_io_atm_cont_file[0] != '-')
6957 return ret->shared_io_atm_cont_file;
6958 if (ret->shared_io_atm_res_file[0] != '-')
6959 return ret->shared_io_atm_res_file;
6960 return NULL;
6961}

◆ 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 6965 of file jurassic.c.

6969 {
6970
6971 /* Find minimum altitude... */
6972 const size_t ip = gsl_stats_min_index(los->z, 1, (size_t) los->np);
6973
6974 /* Nadir or zenith... */
6975 if (ip <= 0 || ip >= (size_t) los->np - 1) {
6976 *tpz = los->z[los->np - 1];
6977 *tplon = los->lon[los->np - 1];
6978 *tplat = los->lat[los->np - 1];
6979 }
6980
6981 /* Limb... */
6982 else {
6983
6984 /* Determine interpolating polynomial y=a*x^2+b*x+c... */
6985 const double yy0 = los->z[ip - 1];
6986 const double yy1 = los->z[ip];
6987 const double yy2 = los->z[ip + 1];
6988 const double x1 = sqrt(POW2(los->ds[ip]) - POW2(yy1 - yy0));
6989 const double x2 = x1 + sqrt(POW2(los->ds[ip + 1]) - POW2(yy2 - yy1));
6990 const double a = 1 / (x1 - x2) * (-(yy0 - yy1) / x1 + (yy0 - yy2) / x2);
6991 const double b = -(yy0 - yy1) / x1 - a * x1;
6992 const double c = yy0;
6993
6994 /* Get tangent point location... */
6995 double dummy, v[3], v0[3], v2[3];
6996 const double x = -b / (2 * a);
6997 *tpz = a * x * x + b * x + c;
6998 geo2cart(los->z[ip - 1], los->lon[ip - 1], los->lat[ip - 1], v0);
6999 geo2cart(los->z[ip + 1], los->lon[ip + 1], los->lat[ip + 1], v2);
7000 for (int i = 0; i < 3; i++)
7001 v[i] = LIN(0.0, v0[i], x2, v2[i], x);
7002 cart2geo(v, &dummy, tplon, tplat);
7003 }
7004}
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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 7008 of file jurassic.c.

7010 {
7011
7012 /* Check pointer... */
7013 if (!tbl)
7014 return;
7015
7016 /* Loop over channels and emitters... */
7017 for (int id = 0; id < ctl->nd; id++)
7018 for (int ig = 0; ig < ctl->ng; ig++) {
7019
7020 /* Check number of pressure levels... */
7021 const int np = tbl->np[id][ig];
7022 if (np < 0)
7023 continue;
7024
7025 /* Loop over pressure levels... */
7026 for (int ip = 0; ip < np; ip++) {
7027
7028 /* Loop over temperature levels... */
7029 const int nt = tbl->nt[id][ig][ip];
7030 for (int it = 0; it < nt; it++) {
7031
7032 /* Free... */
7033 free(tbl->logu[id][ig][ip][it]);
7034 free(tbl->logeps[id][ig][ip][it]);
7035 tbl->logu[id][ig][ip][it] = NULL;
7036 tbl->logeps[id][ig][ip][it] = NULL;
7037 }
7038 }
7039 }
7040
7041 /* Free... */
7042 free(tbl);
7043}

◆ 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 7047 of file jurassic.c.

7052 {
7053
7054 uint8_t *cur = buf;
7055
7056 /* Pack lookup table... */
7057 int np = tbl->np[id][ig];
7058 memcpy(cur, &np, sizeof(np));
7059 cur += sizeof(np);
7060
7061 memcpy(cur, tbl->p[id][ig], (size_t) np * sizeof(double));
7062 cur += ((size_t) np * sizeof(double));
7063
7064 for (int ip = 0; ip < np; ip++) {
7065 int nt = tbl->nt[id][ig][ip];
7066 memcpy(cur, &nt, sizeof(nt));
7067 cur += sizeof(nt);
7068
7069 memcpy(cur, tbl->t[id][ig][ip], (size_t) nt * sizeof(double));
7070 cur += ((size_t) nt * sizeof(double));
7071
7072 for (int it = 0; it < nt; it++) {
7073 int nu = tbl->nu[id][ig][ip][it];
7074 memcpy(cur, &nu, sizeof(nu));
7075 cur += sizeof(nu);
7076
7077 memcpy(cur, tbl->logu[id][ig][ip][it], (size_t) nu * sizeof(float));
7078 cur += ((size_t) nu * sizeof(float));
7079
7080 memcpy(cur, tbl->logeps[id][ig][ip][it], (size_t) nu * sizeof(float));
7081 cur += ((size_t) nu * sizeof(float));
7082 }
7083 }
7084
7085 /* Pack filter function... */
7086 const int n = tbl->filt_n[id];
7087 memcpy(cur, &n, sizeof(n));
7088 cur += sizeof(n);
7089
7090 memcpy(cur, tbl->filt_nu[id], (size_t) n * sizeof(double));
7091 cur += ((size_t) n * sizeof(double));
7092
7093 memcpy(cur, tbl->filt_f[id], (size_t) n * sizeof(double));
7094 cur += ((size_t) n * sizeof(double));
7095
7096 *bytes_used = (size_t) (cur - buf);
7097}

◆ 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 7101 of file jurassic.c.

7104 {
7105
7106 size_t bytes = 0;
7107
7108 /* Size of lookup table... */
7109 const int np = tbl->np[id][ig];
7110 bytes += sizeof(int);
7111 bytes += ((size_t) np * sizeof(double));
7112
7113 for (int ip = 0; ip < np; ip++) {
7114 const int nt = tbl->nt[id][ig][ip];
7115 bytes += sizeof(int);
7116 bytes += ((size_t) nt * sizeof(double));
7117
7118 for (int it = 0; it < nt; it++) {
7119 const int nu = tbl->nu[id][ig][ip][it];
7120 bytes += sizeof(int);
7121 bytes += (2 * (size_t) nu * sizeof(float));
7122 }
7123 }
7124
7125 /* Size of filter function... */
7126 const int n = tbl->filt_n[id];
7127 bytes += sizeof(int);
7128 bytes += (2 * (size_t) n * sizeof(double));
7129
7130 return bytes;
7131}

◆ 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 7135 of file jurassic.c.

7139 {
7140
7141 const uint8_t *cur = buf;
7142
7143 /* Unpack lookup table... */
7144 int np;
7145 memcpy(&np, cur, sizeof(np));
7146 cur += sizeof(np);
7147
7148 if (np < 0 || np > TBLNP)
7149 ERRMSG("np out of range!");
7150 tbl->np[id][ig] = np;
7151
7152 memcpy(tbl->p[id][ig], cur, (size_t) np * sizeof(double));
7153 cur += ((size_t) np * sizeof(double));
7154
7155 for (int ip = 0; ip < np; ip++) {
7156
7157 int nt;
7158 memcpy(&nt, cur, sizeof(nt));
7159 cur += sizeof(nt);
7160
7161 if (nt < 0 || nt > TBLNT)
7162 ERRMSG("nt out of range!");
7163 tbl->nt[id][ig][ip] = nt;
7164
7165 memcpy(tbl->t[id][ig][ip], cur, (size_t) nt * sizeof(double));
7166 cur += ((size_t) nt * sizeof(double));
7167
7168 for (int it = 0; it < nt; it++) {
7169
7170 int nu;
7171 memcpy(&nu, cur, sizeof(nu));
7172 cur += sizeof(nu);
7173
7174 if (nu < 0 || nu > TBLNU)
7175 ERRMSG("nu out of range!");
7176 tbl->nu[id][ig][ip][it] = nu;
7177
7178 ALLOC(tbl->logu[id][ig][ip][it], float,
7179 nu);
7180 ALLOC(tbl->logeps[id][ig][ip][it], float,
7181 nu);
7182
7183 memcpy(tbl->logu[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7184 cur += ((size_t) nu * sizeof(float));
7185
7186 memcpy(tbl->logeps[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7187 cur += ((size_t) nu * sizeof(float));
7188 }
7189 }
7190
7191 /* Unpack filter function... */
7192 int n;
7193 memcpy(&n, cur, sizeof(n));
7194 cur += sizeof(n);
7195
7196 if (n < 2 || n > NSHAPE)
7197 ERRMSG("Missing or invalid filter function (filt_n) in packed table!");
7198 tbl->filt_n[id] = n;
7199
7200 memcpy(tbl->filt_nu[id], cur, (size_t) n * sizeof(double));
7201 cur += ((size_t) n * sizeof(double));
7202
7203 memcpy(tbl->filt_f[id], cur, (size_t) n * sizeof(double));
7204 cur += ((size_t) n * sizeof(double));
7205
7206 return (size_t) (cur - buf);
7207}

◆ 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 7211 of file jurassic.c.

7219 {
7220
7221 struct tm t0, t1;
7222
7223 t0.tm_year = 100;
7224 t0.tm_mon = 0;
7225 t0.tm_mday = 1;
7226 t0.tm_hour = 0;
7227 t0.tm_min = 0;
7228 t0.tm_sec = 0;
7229
7230 t1.tm_year = year - 1900;
7231 t1.tm_mon = mon - 1;
7232 t1.tm_mday = day;
7233 t1.tm_hour = hour;
7234 t1.tm_min = min;
7235 t1.tm_sec = sec;
7236
7237 *jsec = (double) timegm(&t1) - (double) timegm(&t0) + remain;
7238}

◆ 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 7242 of file jurassic.c.

7245 {
7246
7247 static char names[NTIMER][100], groups[NTIMER][100];
7248 static double rt_name[NTIMER], rt_group[NTIMER], rt_min[NTIMER],
7249 rt_max[NTIMER], rt_sq[NTIMER], t0, t1;
7250 static int ct_name[NTIMER], iname = -1, igroup = -1, nname, ngroup;
7251
7252 /* Get time... */
7253 t1 = omp_get_wtime();
7254 const double dt = t1 - t0;
7255
7256 /* Accumulate runtime for current timer... */
7257 if (iname >= 0) {
7258 rt_name[iname] += dt;
7259 rt_sq[iname] += POW2(dt);
7260 rt_min[iname] = (ct_name[iname] <= 0 ? dt : MIN(rt_min[iname], dt));
7261 rt_max[iname] = (ct_name[iname] <= 0 ? dt : MAX(rt_max[iname], dt));
7262 ct_name[iname]++;
7263 }
7264 if (igroup >= 0)
7265 rt_group[igroup] += dt;
7266
7267 /* Write summary... */
7268 if (output) {
7269 for (int i = 0; i < nname; i++) {
7270 const double mean = rt_name[i] / ct_name[i];
7271 const double variance = MAX(0.0, rt_sq[i] / ct_name[i] - POW2(mean));
7272 LOG(1,
7273 "TIMER_%s = %.3f s (min= %g s, mean= %g s, stddev= %g s, max= %g s, n= %d)",
7274 names[i], rt_name[i], rt_min[i], mean, sqrt(variance), rt_max[i],
7275 ct_name[i]);
7276 }
7277 for (int i = 0; i < ngroup; i++)
7278 LOG(1, "TIMER_GROUP_%s = %.3f s", groups[i], rt_group[i]);
7279 double total = 0.0;
7280 for (int i = 0; i < nname; i++)
7281 total += rt_name[i];
7282 LOG(1, "TIMER_TOTAL = %.3f s", total);
7283 }
7284
7285 /* Identify next timer name... */
7286 for (iname = 0; iname < nname; iname++)
7287 if (strcasecmp(name, names[iname]) == 0)
7288 break;
7289 for (igroup = 0; igroup < ngroup; igroup++)
7290 if (strcasecmp(group, groups[igroup]) == 0)
7291 break;
7292
7293 /* Add new timer name if needed... */
7294 if (iname >= nname) {
7295 sprintf(names[iname], "%s", name);
7296 if ((++nname) >= NTIMER)
7297 ERRMSG("Too many timers!");
7298 }
7299
7300 /* Add new timer group if needed... */
7301 if (igroup >= ngroup) {
7302 sprintf(groups[igroup], "%s", group);
7303 if ((++ngroup) >= NTIMER)
7304 ERRMSG("Too many groups!");
7305 }
7306
7307 /* Save time stamp for next phase... */
7308 t0 = t1;
7309}
#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 7313 of file jurassic.c.

7318 {
7319
7320 /* Set filename... */
7321 char file[LEN];
7322 if (dirname != NULL)
7323 sprintf(file, "%s/%s", dirname, filename);
7324 else
7325 sprintf(file, "%s", filename);
7326
7327 /* Write info... */
7328 LOG(1, "Write atmospheric data: %s", file);
7329
7330 /* Write ASCII data... */
7331 if (ctl->atmfmt == 1)
7332 write_atm_asc(file, ctl, atm);
7333
7334 /* Write binary data... */
7335 else if (ctl->atmfmt == 2)
7336 write_atm_bin(file, ctl, atm);
7337
7338 /* Write netCDF data... */
7339 else if (ctl->atmfmt == 3)
7340 write_atm_nc(file, ctl, atm, profile);
7341
7342 /* Error... */
7343 else
7344 ERRMSG("Unknown file format, check ATMFMT!");
7345
7346 /* Write info... */
7347 double mini, maxi;
7348 LOG(2, "Number of data points: %d", atm->np);
7349 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
7350 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
7351 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
7352 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
7353 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
7354 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
7355 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
7356 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
7357 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
7358 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
7359 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
7360 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
7361 for (int ig = 0; ig < ctl->ng; ig++) {
7362 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
7363 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
7364 }
7365 for (int iw = 0; iw < ctl->nw; iw++) {
7366 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
7367 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
7368 }
7369 if (ctl->ncl > 0) {
7370 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
7371 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
7372 } else
7373 LOG(2, "Cloud layer: none");
7374 if (ctl->nsf > 0) {
7375 LOG(2,
7376 "Surface: T_s = %g K | eps= %g ... %g",
7377 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
7378 } else
7379 LOG(2, "Surface: none");
7380}
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:7535
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:7384
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:7451
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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 7384 of file jurassic.c.

7387 {
7388
7389 int n = 6;
7390
7391 /* Create file... */
7392 FILE *out;
7393 if (!(out = fopen(filename, "w")))
7394 ERRMSG("Cannot create file!");
7395
7396 /* Write header... */
7397 fprintf(out,
7398 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
7399 "# $2 = altitude [km]\n"
7400 "# $3 = longitude [deg]\n"
7401 "# $4 = latitude [deg]\n"
7402 "# $5 = pressure [hPa]\n" "# $6 = temperature [K]\n");
7403 for (int ig = 0; ig < ctl->ng; ig++)
7404 fprintf(out, "# $%d = %s volume mixing ratio [ppv]\n",
7405 ++n, ctl->emitter[ig]);
7406 for (int iw = 0; iw < ctl->nw; iw++)
7407 fprintf(out, "# $%d = extinction (window %d) [km^-1]\n", ++n, iw);
7408 if (ctl->ncl > 0) {
7409 fprintf(out, "# $%d = cloud layer height [km]\n", ++n);
7410 fprintf(out, "# $%d = cloud layer depth [km]\n", ++n);
7411 for (int icl = 0; icl < ctl->ncl; icl++)
7412 fprintf(out, "# $%d = cloud layer extinction (%.4f cm^-1) [km^-1]\n",
7413 ++n, ctl->clnu[icl]);
7414 }
7415 if (ctl->nsf > 0) {
7416 fprintf(out, "# $%d = surface temperature [K]\n", ++n);
7417 for (int isf = 0; isf < ctl->nsf; isf++)
7418 fprintf(out, "# $%d = surface emissivity (%.4f cm^-1)\n",
7419 ++n, ctl->sfnu[isf]);
7420 }
7421
7422 /* Write data... */
7423 for (int ip = 0; ip < atm->np; ip++) {
7424 if (ip == 0 || atm->time[ip] != atm->time[ip - 1])
7425 fprintf(out, "\n");
7426 fprintf(out, "%.2f %g %g %g %g %g", atm->time[ip], atm->z[ip],
7427 atm->lon[ip], atm->lat[ip], atm->p[ip], atm->t[ip]);
7428 for (int ig = 0; ig < ctl->ng; ig++)
7429 fprintf(out, " %g", atm->q[ig][ip]);
7430 for (int iw = 0; iw < ctl->nw; iw++)
7431 fprintf(out, " %g", atm->k[iw][ip]);
7432 if (ctl->ncl > 0) {
7433 fprintf(out, " %g %g", atm->clz, atm->cldz);
7434 for (int icl = 0; icl < ctl->ncl; icl++)
7435 fprintf(out, " %g", atm->clk[icl]);
7436 }
7437 if (ctl->nsf > 0) {
7438 fprintf(out, " %g", atm->sft);
7439 for (int isf = 0; isf < ctl->nsf; isf++)
7440 fprintf(out, " %g", atm->sfeps[isf]);
7441 }
7442 fprintf(out, "\n");
7443 }
7444
7445 /* Close file... */
7446 fclose(out);
7447}

◆ 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 7451 of file jurassic.c.

7454 {
7455
7456 /* Create file... */
7457 FILE *out;
7458 if (!(out = fopen(filename, "w")))
7459 ERRMSG("Cannot create file!");
7460
7461 /* Write header... */
7462 FWRITE("ATM1", char,
7463 4,
7464 out);
7465 FWRITE(&ctl->ng, int,
7466 1,
7467 out);
7468 FWRITE(&ctl->nw, int,
7469 1,
7470 out);
7471 FWRITE(&ctl->ncl, int,
7472 1,
7473 out);
7474 FWRITE(&ctl->nsf, int,
7475 1,
7476 out);
7477
7478 /* Write data... */
7479 size_t np = (size_t) atm->np;
7480 FWRITE(&np, size_t,
7481 1,
7482 out);
7483 FWRITE(atm->time, double,
7484 np,
7485 out);
7486 FWRITE(atm->z, double,
7487 np,
7488 out);
7489 FWRITE(atm->lon, double,
7490 np,
7491 out);
7492 FWRITE(atm->lat, double,
7493 np,
7494 out);
7495 FWRITE(atm->p, double,
7496 np,
7497 out);
7498 FWRITE(atm->t, double,
7499 np,
7500 out);
7501 for (int ig = 0; ig < ctl->ng; ig++)
7502 FWRITE(atm->q[ig], double,
7503 np,
7504 out);
7505 for (int iw = 0; iw < ctl->nw; iw++)
7506 FWRITE(atm->k[iw], double,
7507 np,
7508 out);
7509 if (ctl->ncl > 0) {
7510 FWRITE(&atm->clz, double,
7511 1,
7512 out);
7513 FWRITE(&atm->cldz, double,
7514 1,
7515 out);
7516 FWRITE(atm->clk, double,
7517 (size_t) ctl->ncl,
7518 out);
7519 }
7520 if (ctl->nsf > 0) {
7521 FWRITE(&atm->sft, double,
7522 1,
7523 out);
7524 FWRITE(atm->sfeps, double,
7525 (size_t) ctl->nsf,
7526 out);
7527 }
7528
7529 /* Close file... */
7530 fclose(out);
7531}
#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 7535 of file jurassic.c.

7539 {
7540
7541 char longname[LEN], varname[LEN];
7542
7543 int ncid, varid, dim_profile, dim_level;
7544
7545 size_t level_max;
7546
7547 /* Check number of levels... */
7548 if (atm->np < 1 || atm->np > NP)
7549 ERRMSG("Number of levels out of range!");
7550
7551 /* Open or create file... */
7552 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
7553 NC(nc_create(filename, NC_NETCDF4, &ncid));
7554
7555 /* Enter define mode... */
7556 int r = nc_redef(ncid);
7557 if (r != NC_NOERR && r != NC_EINDEFINE)
7558 NC(r);
7559
7560 /* Define profile dimension (unlimited)... */
7561 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
7562 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
7563
7564 /* Define level dimension (fixed)... */
7565 if (nc_inq_dimid(ncid, "level", &dim_level) == NC_NOERR) {
7566 NC(nc_inq_dimlen(ncid, dim_level, &level_max));
7567 if (level_max < 1 || level_max > (size_t) NP)
7568 ERRMSG("netCDF dimension level is out of range!");
7569 if ((size_t) atm->np > level_max)
7570 ERRMSG("profile has too many levels!");
7571 } else {
7572 level_max = (size_t) atm->np;
7573 NC(nc_def_dim(ncid, "level", level_max, &dim_level));
7574 }
7575
7576 /* Set dimension IDs... */
7577 int dimids[2] = { dim_profile, dim_level };
7578
7579 /* Tunables for compression/quantization... */
7580 const int deflate_level = 0;
7581 const int quant_digits = 0;
7582
7583 /* Define nlev (1D)... */
7584 if (nc_inq_varid(ncid, "nlev", &varid) != NC_NOERR)
7585 NC_DEF_VAR("nlev", NC_INT, 1, dimids,
7586 "number of vertical levels", "1", 0, 0);
7587
7588 /* Define core variables (2D)... */
7589 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
7590 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
7591 "time in seconds since 2000-01-01, 00:00 UTC", "s",
7592 deflate_level, 0);
7593
7594 if (nc_inq_varid(ncid, "z", &varid) != NC_NOERR)
7595 NC_DEF_VAR("z", NC_DOUBLE, 2, dimids, "altitude", "km", deflate_level, 0);
7596
7597 if (nc_inq_varid(ncid, "lon", &varid) != NC_NOERR)
7598 NC_DEF_VAR("lon", NC_DOUBLE, 2, dimids,
7599 "longitude", "degrees_east", deflate_level, 0);
7600
7601 if (nc_inq_varid(ncid, "lat", &varid) != NC_NOERR)
7602 NC_DEF_VAR("lat", NC_DOUBLE, 2, dimids,
7603 "latitude", "degrees_north", deflate_level, 0);
7604
7605 if (nc_inq_varid(ncid, "p", &varid) != NC_NOERR)
7606 NC_DEF_VAR("p", NC_DOUBLE, 2, dimids,
7607 "pressure", "hPa", deflate_level, quant_digits);
7608
7609 if (nc_inq_varid(ncid, "t", &varid) != NC_NOERR)
7610 NC_DEF_VAR("t", NC_DOUBLE, 2, dimids,
7611 "temperature", "K", deflate_level, quant_digits);
7612
7613 /* Write emitters (2D)... */
7614 for (int ig = 0; ig < ctl->ng; ig++)
7615 if (nc_inq_varid(ncid, ctl->emitter[ig], &varid) != NC_NOERR) {
7616 sprintf(longname, "%s volume mixing ratio", ctl->emitter[ig]);
7617 NC_DEF_VAR(ctl->emitter[ig], NC_DOUBLE, 2, dimids,
7618 longname, "ppv", deflate_level, quant_digits);
7619 }
7620
7621 /* Write extinction (2D)... */
7622 for (int iw = 0; iw < ctl->nw; iw++) {
7623 sprintf(varname, "ext_win_%d", iw);
7624 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7625 sprintf(longname, "extinction (window %d)", iw);
7626 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids,
7627 longname, "km**-1", deflate_level, quant_digits);
7628 }
7629 }
7630
7631 /* Write cloud variables (1D)... */
7632 if (ctl->ncl > 0) {
7633 if (nc_inq_varid(ncid, "cld_z", &varid) != NC_NOERR)
7634 NC_DEF_VAR("cld_z", NC_DOUBLE, 1, dimids,
7635 "cloud layer height", "km", deflate_level, quant_digits);
7636
7637 if (nc_inq_varid(ncid, "cld_dz", &varid) != NC_NOERR)
7638 NC_DEF_VAR("cld_dz", NC_DOUBLE, 1, dimids,
7639 "cloud layer depth", "km", deflate_level, quant_digits);
7640
7641 for (int icl = 0; icl < ctl->ncl; icl++) {
7642 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7643 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7644 sprintf(longname, "cloud layer extinction (%.4f cm^-1)",
7645 ctl->clnu[icl]);
7646 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "km**-1",
7647 deflate_level, quant_digits);
7648 }
7649 }
7650 }
7651
7652 /* Write surface variables (1D)... */
7653 if (ctl->nsf > 0) {
7654 if (nc_inq_varid(ncid, "srf_t", &varid) != NC_NOERR)
7655 NC_DEF_VAR("srf_t", NC_DOUBLE, 1, dimids,
7656 "surface temperature", "K", deflate_level, quant_digits);
7657
7658 for (int isf = 0; isf < ctl->nsf; isf++) {
7659 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7660 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7661 sprintf(longname, "surface emissivity (%.4f cm^-1)", ctl->sfnu[isf]);
7662 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "1",
7663 deflate_level, quant_digits);
7664 }
7665 }
7666 }
7667
7668 /* Leave define mode... */
7669 NC(nc_enddef(ncid));
7670
7671 /* Define hyperslabs... */
7672 size_t start[2] = { (size_t) profile, 0 };
7673 size_t count[2] = { 1, (size_t) atm->np };
7674
7675 /* Write nlev... */
7676 NC_PUT_INT("nlev", &atm->np, 1);
7677
7678 /* Write core variables... */
7679 NC_PUT_DOUBLE("time", atm->time, 1);
7680 NC_PUT_DOUBLE("z", atm->z, 1);
7681 NC_PUT_DOUBLE("lon", atm->lon, 1);
7682 NC_PUT_DOUBLE("lat", atm->lat, 1);
7683 NC_PUT_DOUBLE("p", atm->p, 1);
7684 NC_PUT_DOUBLE("t", atm->t, 1);
7685
7686 /* Write emitters... */
7687 for (int ig = 0; ig < ctl->ng; ig++)
7688 NC_PUT_DOUBLE(ctl->emitter[ig], atm->q[ig], 1);
7689
7690 /* Write extinction... */
7691 for (int iw = 0; iw < ctl->nw; iw++) {
7692 sprintf(varname, "ext_win_%d", iw);
7693 NC_PUT_DOUBLE(varname, atm->k[iw], 1);
7694 }
7695
7696 /* Write cloud variables... */
7697 if (ctl->ncl > 0) {
7698 NC_PUT_DOUBLE("cld_z", &atm->clz, 1);
7699 NC_PUT_DOUBLE("cld_dz", &atm->cldz, 1);
7700 for (int icl = 0; icl < ctl->ncl; icl++) {
7701 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7702 NC_PUT_DOUBLE(varname, &atm->clk[icl], 1);
7703 }
7704 }
7705
7706 /* Write surface variables... */
7707 if (ctl->nsf > 0) {
7708 NC_PUT_DOUBLE("srf_t", &atm->sft, 1);
7709 for (int isf = 0; isf < ctl->nsf; isf++) {
7710 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7711 NC_PUT_DOUBLE(varname, &atm->sfeps[isf], 1);
7712 }
7713 }
7714
7715 /* Close file... */
7716 NC(nc_sync(ncid));
7717 NC(nc_close(ncid));
7718}
#define NC_PUT_INT(varname, ptr, hyperslab)
Write integer data to a NetCDF variable.
Definition: jurassic.h:856
#define NC_DEF_VAR(varname, type, ndims, dims, long_name, units, level, quant)
Define a NetCDF variable with attributes.
Definition: jurassic.h:726
#define NC_PUT_DOUBLE(varname, ptr, hyperslab)
Write double precision data to a NetCDF variable.
Definition: jurassic.h:809

◆ 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 7722 of file jurassic.c.

7725 {
7726
7727 /* Write info... */
7728 LOG(1, "Write RFM data: %s", filename);
7729
7730 /* Create file... */
7731 FILE *out;
7732 if (!(out = fopen(filename, "w")))
7733 ERRMSG("Cannot create file!");
7734
7735 /* Write data... */
7736 fprintf(out, "%d\n", atm->np);
7737 fprintf(out, "*HGT [km]\n");
7738 for (int ip = 0; ip < atm->np; ip++)
7739 fprintf(out, "%g\n", atm->z[ip]);
7740 fprintf(out, "*PRE [mb]\n");
7741 for (int ip = 0; ip < atm->np; ip++)
7742 fprintf(out, "%g\n", atm->p[ip]);
7743 fprintf(out, "*TEM [K]\n");
7744 for (int ip = 0; ip < atm->np; ip++)
7745 fprintf(out, "%g\n", atm->t[ip]);
7746 for (int ig = 0; ig < ctl->ng; ig++) {
7747 fprintf(out, "*%s [ppmv]\n", ctl->emitter[ig]);
7748 for (int ip = 0; ip < atm->np; ip++)
7749 fprintf(out, "%g\n", atm->q[ig][ip] * 1e6);
7750 }
7751 fprintf(out, "*END\n");
7752
7753 /* Close file... */
7754 fclose(out);
7755}

◆ 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 7759 of file jurassic.c.

7769 {
7770
7771 /* Check output flag... */
7772 if (!ctl->write_matrix)
7773 return;
7774
7775 /* Write ASCII data... */
7776 if (ctl->matrixfmt == 1)
7777 write_matrix_asc(dirname, filename, ctl, matrix, atm, obs,
7778 rowspace, colspace, sort);
7779
7780 /* Write binary data... */
7781 else if (ctl->matrixfmt == 2)
7782 write_matrix_bin(dirname, filename, matrix);
7783
7784 /* Write netCDF data... */
7785 else if (ctl->matrixfmt == 3)
7786 write_matrix_nc(dirname, filename, ctl, matrix, atm, obs,
7787 rowspace, colspace, sort, dataset);
7788
7789 /* Error... */
7790 else
7791 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
7792}
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:7796
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:8018
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:7969
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 7796 of file jurassic.c.

7805 {
7806
7807 char file[LEN], quantity[LEN];
7808
7809 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
7810
7811 size_t i, j, nc, nr;
7812
7813 /* Allocate... */
7814 ALLOC(cida, int,
7815 M);
7816 ALLOC(ciqa, int,
7817 N);
7818 ALLOC(cipa, int,
7819 N);
7820 ALLOC(cira, int,
7821 M);
7822 ALLOC(rida, int,
7823 M);
7824 ALLOC(riqa, int,
7825 N);
7826 ALLOC(ripa, int,
7827 N);
7828 ALLOC(rira, int,
7829 M);
7830
7831 /* Set filename... */
7832 if (dirname != NULL)
7833 sprintf(file, "%s/%s", dirname, filename);
7834 else
7835 sprintf(file, "%s", filename);
7836
7837 /* Write info... */
7838 LOG(1, "Write matrix: %s", file);
7839
7840 /* Create file... */
7841 FILE *out;
7842 if (!(out = fopen(file, "w")))
7843 ERRMSG("Cannot create file!");
7844
7845 /* Write header (row space)... */
7846 if (rowspace[0] == 'y') {
7847
7848 fprintf(out,
7849 "# $1 = Row: index (measurement space)\n"
7850 "# $2 = Row: channel wavenumber [cm^-1]\n"
7851 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7852 "# $4 = Row: view point altitude [km]\n"
7853 "# $5 = Row: view point longitude [deg]\n"
7854 "# $6 = Row: view point latitude [deg]\n");
7855
7856 /* Get number of rows... */
7857 nr = obs2y(ctl, obs, NULL, rida, rira);
7858
7859 } else {
7860
7861 fprintf(out,
7862 "# $1 = Row: index (state space)\n"
7863 "# $2 = Row: name of quantity\n"
7864 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7865 "# $4 = Row: altitude [km]\n"
7866 "# $5 = Row: longitude [deg]\n" "# $6 = Row: latitude [deg]\n");
7867
7868 /* Get number of rows... */
7869 nr = atm2x(ctl, atm, NULL, riqa, ripa);
7870 }
7871
7872 /* Write header (column space)... */
7873 if (colspace[0] == 'y') {
7874
7875 fprintf(out,
7876 "# $7 = Col: index (measurement space)\n"
7877 "# $8 = Col: channel wavenumber [cm^-1]\n"
7878 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7879 "# $10 = Col: view point altitude [km]\n"
7880 "# $11 = Col: view point longitude [deg]\n"
7881 "# $12 = Col: view point latitude [deg]\n");
7882
7883 /* Get number of columns... */
7884 nc = obs2y(ctl, obs, NULL, cida, cira);
7885
7886 } else {
7887
7888 fprintf(out,
7889 "# $7 = Col: index (state space)\n"
7890 "# $8 = Col: name of quantity\n"
7891 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7892 "# $10 = Col: altitude [km]\n"
7893 "# $11 = Col: longitude [deg]\n" "# $12 = Col: latitude [deg]\n");
7894
7895 /* Get number of columns... */
7896 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
7897 }
7898
7899 /* Write header entry... */
7900 fprintf(out, "# $13 = Matrix element\n\n");
7901
7902 /* Write matrix data... */
7903 i = j = 0;
7904 while (i < nr && j < nc) {
7905
7906 /* Write info about the row... */
7907 if (rowspace[0] == 'y')
7908 fprintf(out, "%d %.4f %.2f %g %g %g",
7909 (int) i, ctl->nu[rida[i]],
7910 obs->time[rira[i]], obs->vpz[rira[i]],
7911 obs->vplon[rira[i]], obs->vplat[rira[i]]);
7912 else {
7913 idx2name(ctl, riqa[i], quantity);
7914 fprintf(out, "%d %s %.2f %g %g %g", (int) i, quantity,
7915 atm->time[ripa[i]], atm->z[ripa[i]],
7916 atm->lon[ripa[i]], atm->lat[ripa[i]]);
7917 }
7918
7919 /* Write info about the column... */
7920 if (colspace[0] == 'y')
7921 fprintf(out, " %d %.4f %.2f %g %g %g",
7922 (int) j, ctl->nu[cida[j]],
7923 obs->time[cira[j]], obs->vpz[cira[j]],
7924 obs->vplon[cira[j]], obs->vplat[cira[j]]);
7925 else {
7926 idx2name(ctl, ciqa[j], quantity);
7927 fprintf(out, " %d %s %.2f %g %g %g", (int) j, quantity,
7928 atm->time[cipa[j]], atm->z[cipa[j]],
7929 atm->lon[cipa[j]], atm->lat[cipa[j]]);
7930 }
7931
7932 /* Write matrix entry... */
7933 fprintf(out, " %g\n", gsl_matrix_get(matrix, i, j));
7934
7935 /* Set matrix indices... */
7936 if (sort[0] == 'r') {
7937 j++;
7938 if (j >= nc) {
7939 j = 0;
7940 i++;
7941 fprintf(out, "\n");
7942 }
7943 } else {
7944 i++;
7945 if (i >= nr) {
7946 i = 0;
7947 j++;
7948 fprintf(out, "\n");
7949 }
7950 }
7951 }
7952
7953 /* Close file... */
7954 fclose(out);
7955
7956 /* Free... */
7957 free(cida);
7958 free(ciqa);
7959 free(cipa);
7960 free(cira);
7961 free(rida);
7962 free(riqa);
7963 free(ripa);
7964 free(rira);
7965}
void idx2name(const ctl_t *ctl, const int idx, char *quantity)
Convert a quantity index to a descriptive name string.
Definition: jurassic.c:3963
#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 7969 of file jurassic.c.

7972 {
7973
7974 char file[LEN];
7975 const size_t nr = matrix->size1;
7976 const size_t nc = matrix->size2;
7977
7978 /* Set filename... */
7979 if (dirname != NULL)
7980 sprintf(file, "%s/%s", dirname, filename);
7981 else
7982 sprintf(file, "%s", filename);
7983
7984 /* Write info... */
7985 LOG(1, "Write matrix: %s", file);
7986
7987 /* Create file... */
7988 FILE *out;
7989 if (!(out = fopen(file, "w")))
7990 ERRMSG("Cannot create file!");
7991
7992 /* Write header... */
7993 FWRITE("MAT1", char,
7994 4,
7995 out);
7996 FWRITE(&nr, size_t,
7997 1,
7998 out);
7999 FWRITE(&nc, size_t,
8000 1,
8001 out);
8002
8003 /* Write data... */
8004 for (size_t i = 0; i < nr; i++)
8005 for (size_t j = 0; j < nc; j++) {
8006 double value = gsl_matrix_get(matrix, i, j);
8007 FWRITE(&value, double,
8008 1,
8009 out);
8010 }
8011
8012 /* Close file... */
8013 fclose(out);
8014}

◆ 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 8018 of file jurassic.c.

8028 {
8029
8030 char file[LEN];
8031 char quantity[LEN];
8032 const size_t name_strlen = 100;
8033
8034 int ncid, dimid_dataset, dimid_row, dimid_col, dimid_name, varid;
8035 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
8036
8037 size_t nr = matrix->size1, nc = matrix->size2, naux;
8038
8039 /* Allocate metadata index arrays... */
8040 ALLOC(cida, int,
8041 M);
8042 ALLOC(ciqa, int,
8043 N);
8044 ALLOC(cipa, int,
8045 N);
8046 ALLOC(cira, int,
8047 M);
8048 ALLOC(rida, int,
8049 M);
8050 ALLOC(riqa, int,
8051 N);
8052 ALLOC(ripa, int,
8053 N);
8054 ALLOC(rira, int,
8055 M);
8056
8057 /* Set filename... */
8058 if (dirname != NULL)
8059 sprintf(file, "%s/%s", dirname, filename);
8060 else
8061 sprintf(file, "%s", filename);
8062
8063 /* Write info... */
8064 LOG(1, "Write matrix: %s", file);
8065
8066 /* Open or create file... */
8067 if (nc_open(file, NC_WRITE, &ncid) != NC_NOERR)
8068 NC(nc_create(file, NC_NETCDF4, &ncid));
8069
8070 /* Enter define mode... */
8071 int r = nc_redef(ncid);
8072 if (r != NC_NOERR && r != NC_EINDEFINE)
8073 NC(r);
8074
8075 /* Define dataset dimension (unlimited)... */
8076 if (nc_inq_dimid(ncid, "dataset", &dimid_dataset) != NC_NOERR)
8077 NC(nc_def_dim(ncid, "dataset", NC_UNLIMITED, &dimid_dataset));
8078
8079 /* Define row dimension (fixed)... */
8080 if (nc_inq_dimid(ncid, "row", &dimid_row) == NC_NOERR) {
8081 NC(nc_inq_dimlen(ncid, dimid_row, &naux));
8082 if (naux != nr)
8083 ERRMSG("matrix row dimension is incompatible!");
8084 } else
8085 NC(nc_def_dim(ncid, "row", nr, &dimid_row));
8086
8087 /* Define col dimension (fixed)... */
8088 if (nc_inq_dimid(ncid, "col", &dimid_col) == NC_NOERR) {
8089 NC(nc_inq_dimlen(ncid, dimid_col, &naux));
8090 if (naux != nc)
8091 ERRMSG("matrix col dimension is incompatible!");
8092 } else
8093 NC(nc_def_dim(ncid, "col", nc, &dimid_col));
8094
8095 /* Define fixed-length name dimension... */
8096 if (nc_inq_dimid(ncid, "name_strlen", &dimid_name) == NC_NOERR) {
8097 NC(nc_inq_dimlen(ncid, dimid_name, &naux));
8098 if (naux != name_strlen)
8099 ERRMSG("matrix name_strlen dimension is incompatible!");
8100 } else
8101 NC(nc_def_dim(ncid, "name_strlen", name_strlen, &dimid_name));
8102
8103 /* Define variables... */
8104 int dimids3[3] = { dimid_dataset, dimid_row, dimid_col };
8105 int dimids1[1] = { dimid_dataset };
8106 int dimids2_row[2] = { dimid_dataset, dimid_row };
8107 int dimids2_col[2] = { dimid_dataset, dimid_col };
8108 int dimids3_rowname[3] = { dimid_dataset, dimid_row, dimid_name };
8109 int dimids3_colname[3] = { dimid_dataset, dimid_col, dimid_name };
8110 if (nc_inq_varid(ncid, "matrix", &varid) != NC_NOERR) {
8111 NC(nc_def_var(ncid, "matrix", NC_DOUBLE, 3, dimids3, &varid));
8112 NC(nc_put_att_text(ncid, varid, "long_name", 14, "matrix element"));
8113 NC(nc_put_att_text(ncid, varid, "units", 1, "1"));
8114 }
8115 if (nc_inq_varid(ncid, "rowspace", &varid) != NC_NOERR)
8116 NC_DEF_VAR("rowspace", NC_CHAR, 1, dimids1,
8117 "row space selector", "1", 0, 0);
8118 if (nc_inq_varid(ncid, "colspace", &varid) != NC_NOERR)
8119 NC_DEF_VAR("colspace", NC_CHAR, 1, dimids1,
8120 "column space selector", "1", 0, 0);
8121 if (nc_inq_varid(ncid, "sort", &varid) != NC_NOERR)
8122 NC_DEF_VAR("sort", NC_CHAR, 1, dimids1,
8123 "matrix sort selector", "1", 0, 0);
8124 if (nc_inq_varid(ncid, "row_nu", &varid) != NC_NOERR)
8125 NC_DEF_VAR("row_nu", NC_DOUBLE, 2, dimids2_row,
8126 "row channel wavenumber", "cm^-1", 0, 0);
8127 if (nc_inq_varid(ncid, "row_time", &varid) != NC_NOERR)
8128 NC_DEF_VAR("row_time", NC_DOUBLE, 2, dimids2_row,
8129 "row time since 2000-01-01T00:00Z", "s", 0, 0);
8130 if (nc_inq_varid(ncid, "row_z", &varid) != NC_NOERR)
8131 NC_DEF_VAR("row_z", NC_DOUBLE, 2, dimids2_row,
8132 "row altitude", "km", 0, 0);
8133 if (nc_inq_varid(ncid, "row_lon", &varid) != NC_NOERR)
8134 NC_DEF_VAR("row_lon", NC_DOUBLE, 2, dimids2_row,
8135 "row longitude", "degrees_east", 0, 0);
8136 if (nc_inq_varid(ncid, "row_lat", &varid) != NC_NOERR)
8137 NC_DEF_VAR("row_lat", NC_DOUBLE, 2, dimids2_row,
8138 "row latitude", "degrees_north", 0, 0);
8139 if (nc_inq_varid(ncid, "row_quantity", &varid) != NC_NOERR)
8140 NC_DEF_VAR("row_quantity", NC_CHAR, 3, dimids3_rowname,
8141 "row state quantity name", "1", 0, 0);
8142 if (nc_inq_varid(ncid, "col_nu", &varid) != NC_NOERR)
8143 NC_DEF_VAR("col_nu", NC_DOUBLE, 2, dimids2_col,
8144 "column channel wavenumber", "cm^-1", 0, 0);
8145 if (nc_inq_varid(ncid, "col_time", &varid) != NC_NOERR)
8146 NC_DEF_VAR("col_time", NC_DOUBLE, 2, dimids2_col,
8147 "column time since 2000-01-01T00:00Z", "s", 0, 0);
8148 if (nc_inq_varid(ncid, "col_z", &varid) != NC_NOERR)
8149 NC_DEF_VAR("col_z", NC_DOUBLE, 2, dimids2_col,
8150 "column altitude", "km", 0, 0);
8151 if (nc_inq_varid(ncid, "col_lon", &varid) != NC_NOERR)
8152 NC_DEF_VAR("col_lon", NC_DOUBLE, 2, dimids2_col,
8153 "column longitude", "degrees_east", 0, 0);
8154 if (nc_inq_varid(ncid, "col_lat", &varid) != NC_NOERR)
8155 NC_DEF_VAR("col_lat", NC_DOUBLE, 2, dimids2_col,
8156 "column latitude", "degrees_north", 0, 0);
8157 if (nc_inq_varid(ncid, "col_quantity", &varid) != NC_NOERR)
8158 NC_DEF_VAR("col_quantity", NC_CHAR, 3, dimids3_colname,
8159 "column state quantity name", "1", 0, 0);
8160
8161 /* Leave define mode... */
8162 NC(nc_enddef(ncid));
8163
8164 /* Write metadata... */
8165 size_t start1[1] = { (size_t) dataset };
8166 size_t count1[1] = { 1 };
8167 NC(nc_inq_varid(ncid, "rowspace", &varid));
8168 NC(nc_put_vara_text(ncid, varid, start1, count1, rowspace));
8169 NC(nc_inq_varid(ncid, "colspace", &varid));
8170 NC(nc_put_vara_text(ncid, varid, start1, count1, colspace));
8171 NC(nc_inq_varid(ncid, "sort", &varid));
8172 NC(nc_put_vara_text(ncid, varid, start1, count1, sort));
8173
8174 /* Set row and column metadata indices... */
8175 if (rowspace[0] == 'y')
8176 nr = obs2y(ctl, obs, NULL, rida, rira);
8177 else
8178 nr = atm2x(ctl, atm, NULL, riqa, ripa);
8179 if (colspace[0] == 'y')
8180 nc = obs2y(ctl, obs, NULL, cida, cira);
8181 else
8182 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
8183
8184 /* Write row metadata... */
8185 for (size_t i = 0; i < nr; i++) {
8186 const double nu = rowspace[0] == 'y' ? ctl->nu[rida[i]] : GSL_NAN;
8187 const double time =
8188 rowspace[0] == 'y' ? obs->time[rira[i]] : atm->time[ripa[i]];
8189 const double z = rowspace[0] == 'y' ? obs->vpz[rira[i]] : atm->z[ripa[i]];
8190 const double lon =
8191 rowspace[0] == 'y' ? obs->vplon[rira[i]] : atm->lon[ripa[i]];
8192 const double lat =
8193 rowspace[0] == 'y' ? obs->vplat[rira[i]] : atm->lat[ripa[i]];
8194 char qbuf[LEN] = { 0 };
8195 size_t start2[2] = { (size_t) dataset, i };
8196 size_t count2[2] = { 1, 1 };
8197 size_t start3n[3] = { (size_t) dataset, i, 0 };
8198 size_t count3n[3] = { 1, 1, name_strlen };
8199
8200 if (rowspace[0] != 'y') {
8201 idx2name(ctl, riqa[i], quantity);
8202 snprintf(qbuf, LEN, "%s", quantity);
8203 }
8204
8205 NC(nc_inq_varid(ncid, "row_nu", &varid));
8206 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8207 NC(nc_inq_varid(ncid, "row_time", &varid));
8208 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8209 NC(nc_inq_varid(ncid, "row_z", &varid));
8210 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8211 NC(nc_inq_varid(ncid, "row_lon", &varid));
8212 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8213 NC(nc_inq_varid(ncid, "row_lat", &varid));
8214 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8215 NC(nc_inq_varid(ncid, "row_quantity", &varid));
8216 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8217 }
8218
8219 /* Write column metadata... */
8220 for (size_t j = 0; j < nc; j++) {
8221 const double nu = colspace[0] == 'y' ? ctl->nu[cida[j]] : GSL_NAN;
8222 const double time =
8223 colspace[0] == 'y' ? obs->time[cira[j]] : atm->time[cipa[j]];
8224 const double z = colspace[0] == 'y' ? obs->vpz[cira[j]] : atm->z[cipa[j]];
8225 const double lon =
8226 colspace[0] == 'y' ? obs->vplon[cira[j]] : atm->lon[cipa[j]];
8227 const double lat =
8228 colspace[0] == 'y' ? obs->vplat[cira[j]] : atm->lat[cipa[j]];
8229 char qbuf[LEN] = { 0 };
8230 size_t start2[2] = { (size_t) dataset, j };
8231 size_t count2[2] = { 1, 1 };
8232 size_t start3n[3] = { (size_t) dataset, j, 0 };
8233 size_t count3n[3] = { 1, 1, name_strlen };
8234
8235 if (colspace[0] != 'y') {
8236 idx2name(ctl, ciqa[j], quantity);
8237 snprintf(qbuf, LEN, "%s", quantity);
8238 }
8239
8240 NC(nc_inq_varid(ncid, "col_nu", &varid));
8241 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8242 NC(nc_inq_varid(ncid, "col_time", &varid));
8243 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8244 NC(nc_inq_varid(ncid, "col_z", &varid));
8245 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8246 NC(nc_inq_varid(ncid, "col_lon", &varid));
8247 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8248 NC(nc_inq_varid(ncid, "col_lat", &varid));
8249 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8250 NC(nc_inq_varid(ncid, "col_quantity", &varid));
8251 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8252 }
8253
8254 /* Write matrix data... */
8255 NC(nc_inq_varid(ncid, "matrix", &varid));
8256 for (size_t i = 0; i < nr; i++)
8257 for (size_t j = 0; j < nc; j++) {
8258 const double value = gsl_matrix_get(matrix, i, j);
8259 size_t start3[3] = { (size_t) dataset, i, j };
8260 size_t count3[3] = { 1, 1, 1 };
8261 NC(nc_put_vara_double(ncid, varid, start3, count3, &value));
8262 }
8263
8264 /* Close file... */
8265 NC(nc_sync(ncid));
8266 NC(nc_close(ncid));
8267
8268 /* Free... */
8269 free(cida);
8270 free(ciqa);
8271 free(cipa);
8272 free(cira);
8273 free(rida);
8274 free(riqa);
8275 free(ripa);
8276 free(rira);
8277}
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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 8281 of file jurassic.c.

8286 {
8287
8288 /* Set filename... */
8289 char file[LEN];
8290 if (dirname != NULL)
8291 sprintf(file, "%s/%s", dirname, filename);
8292 else
8293 sprintf(file, "%s", filename);
8294
8295 /* Write info... */
8296 LOG(1, "Write observation data: %s", file);
8297
8298 /* Write ASCII data... */
8299 if (ctl->obsfmt == 1)
8300 write_obs_asc(file, ctl, obs);
8301
8302 /* Write binary data... */
8303 else if (ctl->obsfmt == 2)
8304 write_obs_bin(file, ctl, obs);
8305
8306 /* Write netCDF data... */
8307 else if (ctl->obsfmt == 3)
8308 write_obs_nc(file, ctl, obs, profile);
8309
8310 /* Write info... */
8311 double mini, maxi;
8312 LOG(2, "Number of ray paths: %d", obs->nr);
8313 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
8314 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
8315 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
8316 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
8317 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
8318 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
8319 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
8320 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
8321 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
8322 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
8323 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
8324 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
8325 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
8326 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
8327 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
8328 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
8329 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
8330 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
8331 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
8332 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
8333 for (int id = 0; id < ctl->nd; id++) {
8334 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
8335 if (ctl->write_bbt) {
8336 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
8337 ctl->nu[id], mini, maxi);
8338 } else {
8339 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
8340 ctl->nu[id], mini, maxi);
8341 }
8342 }
8343 for (int id = 0; id < ctl->nd; id++) {
8344 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
8345 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
8346 ctl->nu[id], mini, maxi);
8347 }
8348}
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:8352
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:8476
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:8408
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 8352 of file jurassic.c.

8355 {
8356
8357 int n = 10;
8358
8359 /* Create file... */
8360 FILE *out;
8361 if (!(out = fopen(filename, "w")))
8362 ERRMSG("Cannot create file!");
8363
8364 /* Write header... */
8365 fprintf(out,
8366 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
8367 "# $2 = observer altitude [km]\n"
8368 "# $3 = observer longitude [deg]\n"
8369 "# $4 = observer latitude [deg]\n"
8370 "# $5 = view point altitude [km]\n"
8371 "# $6 = view point longitude [deg]\n"
8372 "# $7 = view point latitude [deg]\n"
8373 "# $8 = tangent point altitude [km]\n"
8374 "# $9 = tangent point longitude [deg]\n"
8375 "# $10 = tangent point latitude [deg]\n");
8376 for (int id = 0; id < ctl->nd; id++)
8377 if (ctl->write_bbt)
8378 fprintf(out, "# $%d = brightness temperature (%.4f cm^-1) [K]\n",
8379 ++n, ctl->nu[id]);
8380 else
8381 fprintf(out, "# $%d = radiance (%.4f cm^-1) [W/(m^2 sr cm^-1)]\n",
8382 ++n, ctl->nu[id]);
8383 for (int id = 0; id < ctl->nd; id++)
8384 fprintf(out, "# $%d = transmittance (%.4f cm^-1) [-]\n", ++n,
8385 ctl->nu[id]);
8386
8387 /* Write data... */
8388 for (int ir = 0; ir < obs->nr; ir++) {
8389 if (ir == 0 || obs->time[ir] != obs->time[ir - 1])
8390 fprintf(out, "\n");
8391 fprintf(out, "%.2f %g %g %g %g %g %g %g %g %g", obs->time[ir],
8392 obs->obsz[ir], obs->obslon[ir], obs->obslat[ir],
8393 obs->vpz[ir], obs->vplon[ir], obs->vplat[ir],
8394 obs->tpz[ir], obs->tplon[ir], obs->tplat[ir]);
8395 for (int id = 0; id < ctl->nd; id++)
8396 fprintf(out, " %g", obs->rad[id][ir]);
8397 for (int id = 0; id < ctl->nd; id++)
8398 fprintf(out, " %g", obs->tau[id][ir]);
8399 fprintf(out, "\n");
8400 }
8401
8402 /* Close file... */
8403 fclose(out);
8404}

◆ 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 8408 of file jurassic.c.

8411 {
8412
8413 /* Create file... */
8414 FILE *out;
8415 if (!(out = fopen(filename, "w")))
8416 ERRMSG("Cannot create file!");
8417
8418 /* Write header... */
8419 FWRITE("OBS1", char,
8420 4,
8421 out);
8422 FWRITE(&ctl->nd, int,
8423 1,
8424 out);
8425
8426 /* Write data... */
8427 size_t nr = (size_t) obs->nr;
8428 FWRITE(&nr, size_t,
8429 1,
8430 out);
8431 FWRITE(obs->time, double,
8432 nr,
8433 out);
8434 FWRITE(obs->obsz, double,
8435 nr,
8436 out);
8437 FWRITE(obs->obslon, double,
8438 nr,
8439 out);
8440 FWRITE(obs->obslat, double,
8441 nr,
8442 out);
8443 FWRITE(obs->vpz, double,
8444 nr,
8445 out);
8446 FWRITE(obs->vplon, double,
8447 nr,
8448 out);
8449 FWRITE(obs->vplat, double,
8450 nr,
8451 out);
8452 FWRITE(obs->tpz, double,
8453 nr,
8454 out);
8455 FWRITE(obs->tplon, double,
8456 nr,
8457 out);
8458 FWRITE(obs->tplat, double,
8459 nr,
8460 out);
8461 for (int id = 0; id < ctl->nd; id++)
8462 FWRITE(obs->rad[id], double,
8463 nr,
8464 out);
8465 for (int id = 0; id < ctl->nd; id++)
8466 FWRITE(obs->tau[id], double,
8467 nr,
8468 out);
8469
8470 /* Close file... */
8471 fclose(out);
8472}

◆ 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 8476 of file jurassic.c.

8480 {
8481
8482 char longname[LEN], varname[LEN];
8483 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
8484
8485 int ncid, varid, dim_profile, dim_ray;
8486
8487 size_t ray_max;
8488
8489 /* Check number of rays... */
8490 if (obs->nr < 1 || obs->nr > NR)
8491 ERRMSG("Number of ray paths out of range!");
8492
8493 /* Open or create file... */
8494 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
8495 NC(nc_create(filename, NC_NETCDF4, &ncid));
8496
8497 /* Enter define mode... */
8498 int r = nc_redef(ncid);
8499 if (r != NC_NOERR && r != NC_EINDEFINE)
8500 NC(r);
8501
8502 /* Define profile dimension (unlimited)... */
8503 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
8504 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
8505
8506 /* Define ray dimension (fixed)... */
8507 if (nc_inq_dimid(ncid, "ray", &dim_ray) == NC_NOERR) {
8508 NC(nc_inq_dimlen(ncid, dim_ray, &ray_max));
8509 if (ray_max < 1 || ray_max > (size_t) NR)
8510 ERRMSG("netCDF dimension ray is out of range!");
8511 if ((size_t) obs->nr > ray_max)
8512 ERRMSG("profile has too many rays!");
8513 } else {
8514 ray_max = (size_t) obs->nr;
8515 NC(nc_def_dim(ncid, "ray", ray_max, &dim_ray));
8516 }
8517
8518 /* Dimension ID array... */
8519 int dimids[2] = { dim_profile, dim_ray };
8520
8521 /* Tunables for compression/quantization... */
8522 const int deflate_level = 0;
8523 const int quant_digits = 0;
8524
8525 /* Define nray (1D over profile)... */
8526 if (nc_inq_varid(ncid, "nray", &varid) != NC_NOERR)
8527 NC_DEF_VAR("nray", NC_INT, 1, dimids, "number of ray paths", "1", 0, 0);
8528
8529 /* Define geometry variables (2D over profile, ray)... */
8530 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
8531 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
8532 "time in seconds since 2000-01-01, 00:00 UTC", "s",
8533 deflate_level, 0);
8534
8535 if (nc_inq_varid(ncid, "obs_z", &varid) != NC_NOERR)
8536 NC_DEF_VAR("obs_z", NC_DOUBLE, 2, dimids,
8537 "observer altitude", "km", deflate_level, 0);
8538
8539 if (nc_inq_varid(ncid, "obs_lon", &varid) != NC_NOERR)
8540 NC_DEF_VAR("obs_lon", NC_DOUBLE, 2, dimids,
8541 "observer longitude", "degrees_east", deflate_level, 0);
8542
8543 if (nc_inq_varid(ncid, "obs_lat", &varid) != NC_NOERR)
8544 NC_DEF_VAR("obs_lat", NC_DOUBLE, 2, dimids,
8545 "observer latitude", "degrees_north", deflate_level, 0);
8546
8547 if (nc_inq_varid(ncid, "vp_z", &varid) != NC_NOERR)
8548 NC_DEF_VAR("vp_z", NC_DOUBLE, 2, dimids,
8549 "view point altitude", "km", deflate_level, 0);
8550
8551 if (nc_inq_varid(ncid, "vp_lon", &varid) != NC_NOERR)
8552 NC_DEF_VAR("vp_lon", NC_DOUBLE, 2, dimids,
8553 "view point longitude", "degrees_east", deflate_level, 0);
8554
8555 if (nc_inq_varid(ncid, "vp_lat", &varid) != NC_NOERR)
8556 NC_DEF_VAR("vp_lat", NC_DOUBLE, 2, dimids,
8557 "view point latitude", "degrees_north", deflate_level, 0);
8558
8559 if (nc_inq_varid(ncid, "tp_z", &varid) != NC_NOERR)
8560 NC_DEF_VAR("tp_z", NC_DOUBLE, 2, dimids,
8561 "tangent point altitude", "km", deflate_level, 0);
8562
8563 if (nc_inq_varid(ncid, "tp_lon", &varid) != NC_NOERR)
8564 NC_DEF_VAR("tp_lon", NC_DOUBLE, 2, dimids,
8565 "tangent point longitude", "degrees_east", deflate_level, 0);
8566
8567 if (nc_inq_varid(ncid, "tp_lat", &varid) != NC_NOERR)
8568 NC_DEF_VAR("tp_lat", NC_DOUBLE, 2, dimids,
8569 "tangent point latitude", "degrees_north", deflate_level, 0);
8570
8571 /* Define radiance/transmittance per channel (2D profile,ray)... */
8572 for (int id = 0; id < ctl->nd; id++) {
8573
8574 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8575 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8576 if (ctl->write_bbt) {
8577 sprintf(longname, "brightness temperature (%.4f cm^-1)", ctl->nu[id]);
8578 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "K",
8579 deflate_level, quant_digits);
8580 } else {
8581 sprintf(longname, "radiance (%.4f cm^-1)", ctl->nu[id]);
8582 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname,
8583 "W/(m^2 sr cm^-1)", deflate_level, quant_digits);
8584 }
8585 }
8586
8587 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8588 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8589 sprintf(longname, "transmittance (%.4f cm^-1)", ctl->nu[id]);
8590 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "1",
8591 deflate_level, quant_digits);
8592 }
8593 }
8594
8595 /* Leave define mode... */
8596 NC(nc_enddef(ncid));
8597
8598 /* Hyperslabs... */
8599 size_t start[2] = { (size_t) profile, 0 };
8600 size_t count[2] = { 1, (size_t) obs->nr };
8601
8602 /* Write nray(profile)... */
8603 int nr = obs->nr;
8604 NC(nc_inq_varid(ncid, "nray", &varid));
8605 NC(nc_put_vara_int(ncid, varid, start, count, &nr));
8606
8607 /* Write geometry... */
8608 NC(nc_inq_varid(ncid, "time", &varid));
8609 NC(nc_put_vara_double(ncid, varid, start, count, obs->time));
8610
8611 NC(nc_inq_varid(ncid, "obs_z", &varid));
8612 NC(nc_put_vara_double(ncid, varid, start, count, obs->obsz));
8613
8614 NC(nc_inq_varid(ncid, "obs_lon", &varid));
8615 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslon));
8616
8617 NC(nc_inq_varid(ncid, "obs_lat", &varid));
8618 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslat));
8619
8620 NC(nc_inq_varid(ncid, "vp_z", &varid));
8621 NC(nc_put_vara_double(ncid, varid, start, count, obs->vpz));
8622
8623 NC(nc_inq_varid(ncid, "vp_lon", &varid));
8624 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplon));
8625
8626 NC(nc_inq_varid(ncid, "vp_lat", &varid));
8627 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplat));
8628
8629 NC(nc_inq_varid(ncid, "tp_z", &varid));
8630 NC(nc_put_vara_double(ncid, varid, start, count, obs->tpz));
8631
8632 NC(nc_inq_varid(ncid, "tp_lon", &varid));
8633 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplon));
8634
8635 NC(nc_inq_varid(ncid, "tp_lat", &varid));
8636 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplat));
8637
8638 /* Write spectral variables per channel... */
8639 for (int id = 0; id < ctl->nd; id++) {
8640 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8641 NC(nc_inq_varid(ncid, varname, &varid));
8642 NC(nc_put_vara_double(ncid, varid, start, count, obs->rad[id]));
8643
8644 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8645 NC(nc_inq_varid(ncid, varname, &varid));
8646 NC(nc_put_vara_double(ncid, varid, start, count, obs->tau[id]));
8647 }
8648
8649 /* Close file... */
8650 NC(nc_sync(ncid));
8651 NC(nc_close(ncid));
8652}

◆ 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 8656 of file jurassic.c.

8660 {
8661
8662 /* Write info... */
8663 LOG(1, "Write shape function: %s", filename);
8664
8665 /* Create file... */
8666 FILE *out;
8667 if (!(out = fopen(filename, "w")))
8668 ERRMSG("Cannot create file!");
8669
8670 /* Write header... */
8671 fprintf(out,
8672 "# $1 = shape function x-value [-]\n"
8673 "# $2 = shape function y-value [-]\n\n");
8674
8675 /* Write data... */
8676 for (int i = 0; i < n; i++)
8677 fprintf(out, "%.10g %.10g\n", x[i], y[i]);
8678
8679 /* Close file... */
8680 fclose(out);
8681}

◆ 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 8685 of file jurassic.c.

8690 {
8691
8692 /* Get sizes... */
8693 const size_t n = s->size1;
8694
8695 /* Allocate... */
8696 atm_t *atm_aux;
8697 ALLOC(atm_aux, atm_t, 1);
8698 gsl_vector *x_aux = gsl_vector_alloc(n);
8699
8700 /* Compute standard deviation... */
8701 for (size_t i = 0; i < n; i++)
8702 gsl_vector_set(x_aux, i, sqrt(gsl_matrix_get(s, i, i)));
8703
8704 /* Write to disk... */
8705 char filename[LEN];
8706 const char *dirname;
8707 int profile;
8708 const char *shared_file = "-";
8709 copy_atm(ctl, atm_aux, atm, 1);
8710 x2atm(ctl, x_aux, atm_aux);
8711 if (strcmp(quantity, "total") == 0)
8712 shared_file = ret->shared_io_atm_err_total_file;
8713 else if (strcmp(quantity, "noise") == 0)
8714 shared_file = ret->shared_io_atm_err_noise_file;
8715 else if (strcmp(quantity, "formod") == 0)
8716 shared_file = ret->shared_io_atm_err_formod_file;
8717 sprintf(filename, "atm_err_%s.tab", quantity);
8718 const char *target =
8719 shared_io_output_target(ret, shared_file, filename, &dirname, &profile);
8720 write_atm(dirname, target, ctl, atm_aux, profile);
8721
8722 /* Free... */
8723 gsl_vector_free(x_aux);
8724}
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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 8728 of file jurassic.c.

8730 {
8731
8732 /* Loop over emitters and detectors... */
8733 for (int ig = 0; ig < ctl->ng; ig++)
8734 for (int id = 0; id < ctl->nd; id++) {
8735
8736 /* Skip empty tables... */
8737 if (tbl->np[id][ig] <= 0) {
8738 WARN("Skip writing empty emissivity table: emitter=%s, nu=%.4f",
8739 ctl->emitter[ig], ctl->nu[id]);
8740 continue;
8741 }
8742
8743 /* Write ASCII look-up tables... */
8744 if (ctl->tblfmt == 1)
8745 write_tbl_asc(ctl, tbl, id, ig);
8746
8747 /* Write binary look-up tables... */
8748 else if (ctl->tblfmt == 2)
8749 write_tbl_bin(ctl, tbl, id, ig);
8750
8751 /* Write netCDF look-up tables... */
8752 else if (ctl->tblfmt == 3)
8753 write_tbl_nc(ctl, tbl, id, ig);
8754
8755 /* Write info... */
8756 TBL_LOG(tbl, id, ig);
8757 }
8758
8759 /* Write filter functions... */
8760 if (ctl->tblfmt == 1)
8761 for (int id = 0; id < ctl->nd; id++) {
8762 char filename[2 * LEN];
8763 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
8764 write_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
8765 tbl->filt_n[id]);
8766 }
8767}
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:8771
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:8855
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:8813
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:8656
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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 8771 of file jurassic.c.

8775 {
8776
8777 /* Set filename... */
8778 char filename[2 * LEN];
8779 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
8780 ctl->nu[id], ctl->emitter[ig]);
8781
8782 /* Create file... */
8783 FILE *out;
8784 if (!(out = fopen(filename, "w"))) {
8785 ERRMSG("Cannot create emissivity table: %s", filename);
8786 } else
8787 LOG(1, "Write emissivity table: %s", filename);
8788
8789 /* Write header... */
8790 fprintf(out,
8791 "# $1 = pressure [hPa]\n"
8792 "# $2 = temperature [K]\n"
8793 "# $3 = column density [molecules/cm^2]\n"
8794 "# $4 = emissivity [-]\n");
8795
8796 /* Save table file... */
8797 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
8798 for (int it = 0; it < tbl->nt[id][ig][ip]; it++) {
8799 fprintf(out, "\n");
8800 for (int iu = 0; iu < tbl->nu[id][ig][ip][it]; iu++)
8801 fprintf(out, "%g %g %e %e\n",
8802 tbl->p[id][ig][ip], tbl->t[id][ig][ip][it],
8803 exp(tbl->logu[id][ig][ip][it][iu]),
8804 exp(tbl->logeps[id][ig][ip][it][iu]));
8805 }
8806
8807 /* Close file... */
8808 fclose(out);
8809}

◆ 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 8813 of file jurassic.c.

8817 {
8818
8819 /* Set filename... */
8820 char filename[2 * LEN];
8821 sprintf(filename, "%s_%.4f_%s.bin",
8822 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
8823
8824 /* Create file... */
8825 FILE *out;
8826 if (!(out = fopen(filename, "w"))) {
8827 ERRMSG("Cannot create emissivity table: %s", filename);
8828 } else
8829 LOG(1, "Write emissivity table: %s", filename);
8830
8831 /* Pack... */
8832 size_t used = 0;
8833 const size_t need = tbl_packed_size(tbl, id, ig);
8834 uint8_t *work = NULL;
8835 ALLOC(work, uint8_t, need);
8836 tbl_pack(tbl, id, ig, work, &used);
8837 if (used != need)
8838 ERRMSG("Internal error: packed size mismatch!");
8839
8840 /* Write length and packed blob... */
8841 FWRITE(&used, size_t,
8842 1,
8843 out);
8844 FWRITE(work, uint8_t, used, out);
8845
8846 /* Close file... */
8847 fclose(out);
8848
8849 /* Free... */
8850 free(work);
8851}
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:7047
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:7101
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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 8855 of file jurassic.c.

8859 {
8860
8861 /* Set filename... */
8862 char filename[2 * LEN];
8863 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
8864
8865 /* Open or create file... */
8866 int ncid;
8867 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR) {
8868 if (nc_create(filename, NC_NETCDF4 | NC_CLOBBER, &ncid) != NC_NOERR)
8869 ERRMSG("Cannot open or create emissivity table: %s", filename);
8870 NC_PUT_ATT_GLOBAL("format_version", "1");
8871 NC_PUT_ATT_GLOBAL("emitter", ctl->emitter[ig]);
8872 NC(nc_enddef(ncid));
8873 }
8874
8875 /* Set variable and dimension name... */
8876 char varname[LEN], dimname[LEN];
8877 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
8878 sprintf(dimname, "len_%.4f", ctl->nu[id]);
8879
8880 /* Write info... */
8881 LOG(1, "Write emissivity table: %s in %s", varname, filename);
8882
8883 /* Allocate work space... */
8884 size_t used = 0;
8885 const size_t need = tbl_packed_size(tbl, id, ig);
8886 uint8_t *work = NULL;
8887 ALLOC(work, uint8_t, need);
8888
8889 /* Pack table... */
8890 tbl_pack(tbl, id, ig, work, &used);
8891 if (used != need)
8892 ERRMSG("Internal error: packed size mismatch!");
8893
8894 /* Prevent overwrite... */
8895 int tmp;
8896 if (nc_inq_varid(ncid, varname, &tmp) == NC_NOERR)
8897 ERRMSG("Table already present!");
8898
8899 /* Add dimension and variable... */
8900 int dimid, varid;
8901 NC(nc_redef(ncid));
8902 NC(nc_def_dim(ncid, dimname, used, &dimid));
8903 int dimids[1] = { dimid };
8904 NC_DEF_VAR(varname, NC_UBYTE, 1, dimids,
8905 "Packed lookup table blob", "1", 0, 0);
8906 NC(nc_enddef(ncid));
8907
8908 /* Write data... */
8909 NC(nc_put_var_uchar(ncid, varid, (const unsigned char *) work));
8910
8911 /* Free... */
8912 free(work);
8913
8914 /* Close file... */
8915 NC(nc_close(ncid));
8916}
#define NC_PUT_ATT_GLOBAL(attname, text)
Add a global text attribute to a NetCDF file.
Definition: jurassic.h:895
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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 8920 of file jurassic.c.

8923 {
8924
8925 size_t n = 0;
8926
8927 /* Get pressure... */
8928 for (int ip = 0; ip < atm->np; ip++)
8929 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
8930 x2atm_help(&atm->p[ip], x, &n);
8931
8932 /* Get temperature... */
8933 for (int ip = 0; ip < atm->np; ip++)
8934 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
8935 x2atm_help(&atm->t[ip], x, &n);
8936
8937 /* Get volume mixing ratio... */
8938 for (int ig = 0; ig < ctl->ng; ig++)
8939 for (int ip = 0; ip < atm->np; ip++)
8940 if (atm->z[ip] >= ctl->retq_zmin[ig]
8941 && atm->z[ip] <= ctl->retq_zmax[ig])
8942 x2atm_help(&atm->q[ig][ip], x, &n);
8943
8944 /* Get extinction... */
8945 for (int iw = 0; iw < ctl->nw; iw++)
8946 for (int ip = 0; ip < atm->np; ip++)
8947 if (atm->z[ip] >= ctl->retk_zmin[iw]
8948 && atm->z[ip] <= ctl->retk_zmax[iw])
8949 x2atm_help(&atm->k[iw][ip], x, &n);
8950
8951 /* Get cloud data... */
8952 if (ctl->ret_clz)
8953 x2atm_help(&atm->clz, x, &n);
8954 if (ctl->ret_cldz)
8955 x2atm_help(&atm->cldz, x, &n);
8956 if (ctl->ret_clk)
8957 for (int icl = 0; icl < ctl->ncl; icl++)
8958 x2atm_help(&atm->clk[icl], x, &n);
8959
8960 /* Get surface data... */
8961 if (ctl->ret_sft)
8962 x2atm_help(&atm->sft, x, &n);
8963 if (ctl->ret_sfeps)
8964 for (int isf = 0; isf < ctl->nsf; isf++)
8965 x2atm_help(&atm->sfeps[isf], x, &n);
8966}
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:8970
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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 8970 of file jurassic.c.

8973 {
8974
8975 /* Get state vector element... */
8976 *value = gsl_vector_get(x, *n);
8977 (*n)++;
8978}

◆ 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 8982 of file jurassic.c.

8985 {
8986
8987 size_t m = 0;
8988
8989 /* Decompose measurement vector... */
8990 for (int ir = 0; ir < obs->nr; ir++)
8991 for (int id = 0; id < ctl->nd; id++)
8992 if (isfinite(obs->rad[id][ir])) {
8993 obs->rad[id][ir] = gsl_vector_get(y, m);
8994 m++;
8995 }
8996}