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:7307
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:6860
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
Here is the call graph for this function:

◆ analyze_avk_quantity()

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

Analyze averaging kernel submatrix for a specific retrieved quantity.

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

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

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

  • Contribution function

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

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

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

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

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

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

Definition at line 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
Here is the call graph for this function:

◆ atm2x_help()

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

Append a single atmospheric value to the state vector.

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

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

Definition at line 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:4511
#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
Here is the call graph for this function:

◆ 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}
Here is the call graph for this function:

◆ 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}
Here is the call graph for this function:

◆ 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
Here is the call graph for this function:

◆ 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
Here is the call graph for this function:

◆ 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:4481
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
Here is the call graph for this function:

◆ 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:4164
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:4965
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
Here is the call graph for this function:

◆ 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:6086
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:7716
#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
Here is the call graph for this function:

◆ 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
Here is the call graph for this function:

◆ 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
Here is the call graph for this function:

◆ 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}
Here is the call graph for this function:

◆ 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 }
4152
4153 /* Get transmittance of extended path... */
4154 tau_path[id][ig] *= (1 - eps);
4155
4156 /* Get segment transmittance... */
4157 tau_seg[id] *= (1 - eps);
4158 }
4159 }
4160}
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:4263
#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
Here is the call graph for this function:

◆ 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 4164 of file jurassic.c.

4170 {
4171
4172 const double lnp = log(los->p[ip]);
4173
4174 double eps, u;
4175
4176 /* Loop over channels... */
4177 for (int id = 0; id < ctl->nd; id++) {
4178
4179 /* Initialize... */
4180 tau_seg[id] = 1;
4181
4182 /* Loop over emitters.... */
4183 for (int ig = 0; ig < ctl->ng; ig++) {
4184
4185 /* Check size of table (pressure) and column density... */
4186 if (tbl->np[id][ig] < 30 || los->cgu[ip][ig] <= 0)
4187 eps = 0;
4188
4189 /* Check transmittance... */
4190 else if (tau_path[id][ig] < 1e-9)
4191 eps = 1;
4192
4193 /* Interpolate... */
4194 else {
4195
4196 /* Determine pressure and temperature indices... */
4197 const int ipr =
4198 locate_irr(tbl->p[id][ig], tbl->np[id][ig], los->p[ip]);
4199 const int it0 =
4200 locate_reg(tbl->t[id][ig][ipr], tbl->nt[id][ig][ipr], los->t[ip]);
4201 const int it1 =
4202 locate_reg(tbl->t[id][ig][ipr + 1], tbl->nt[id][ig][ipr + 1],
4203 los->t[ip]);
4204
4205 /* Check size of table (temperature and column density)... */
4206 if (tbl->nt[id][ig][ipr] < 2 || tbl->nt[id][ig][ipr + 1] < 2
4207 || tbl->nu[id][ig][ipr][it0] < 2
4208 || tbl->nu[id][ig][ipr][it0 + 1] < 2
4209 || tbl->nu[id][ig][ipr + 1][it1] < 2
4210 || tbl->nu[id][ig][ipr + 1][it1 + 1] < 2)
4211 eps = 0;
4212
4213 else {
4214
4215 /* Get emissivities of extended path... */
4216 const double logeps = log(1.0 - tau_path[id][ig]);
4217
4218 u = intpol_tbl_u(tbl, ig, id, ipr, it0, logeps);
4219 double eps00
4220 = intpol_tbl_eps(tbl, ig, id, ipr, it0, log(u + los->u[ip][ig]));
4221
4222 u = intpol_tbl_u(tbl, ig, id, ipr, it0 + 1, logeps);
4223 double eps01 = intpol_tbl_eps(tbl, ig, id, ipr, it0 + 1,
4224 log(u + los->u[ip][ig]));
4225
4226 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1, logeps);
4227 double eps10 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1,
4228 log(u + los->u[ip][ig]));
4229
4230 u = intpol_tbl_u(tbl, ig, id, ipr + 1, it1 + 1, logeps);
4231 double eps11 = intpol_tbl_eps(tbl, ig, id, ipr + 1, it1 + 1,
4232 log(u + los->u[ip][ig]));
4233
4234 /* Interpolate with respect to temperature... */
4235 eps00 = LIN(tbl->t[id][ig][ipr][it0], eps00,
4236 tbl->t[id][ig][ipr][it0 + 1], eps01, los->t[ip]);
4237 eps11 = LIN(tbl->t[id][ig][ipr + 1][it1], eps10,
4238 tbl->t[id][ig][ipr + 1][it1 + 1], eps11, los->t[ip]);
4239
4240 /* Interpolate with respect to log-pressure... */
4241 eps00 = LIN(tbl->lnp[id][ig][ipr], eps00,
4242 tbl->lnp[id][ig][ipr + 1], eps11, lnp);
4243
4244 /* Check emissivity range... */
4245 eps00 = CLAMP(eps00, 0, 1);
4246
4247 /* Determine segment emissivity... */
4248 eps = 1 - (1 - eps00) / tau_path[id][ig];
4249 }
4250 }
4251
4252 /* Get transmittance of extended path... */
4253 tau_path[id][ig] *= (1 - eps);
4254
4255 /* Get segment transmittance... */
4256 tau_seg[id] *= (1 - eps);
4257 }
4258 }
4259}
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:4308
Here is the call graph for this function:

◆ 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 4263 of file jurassic.c.

4269 {
4270
4271 const int nu = tbl->nu[id][ig][ip][it];
4272 const float *logu_arr = tbl->logu[id][ig][ip][it];
4273 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4274
4275 /* Work in log-space and only convert back when needed... */
4276 const double logu_min = (double) logu_arr[0];
4277 const double logu_max = (double) logu_arr[nu - 1];
4278
4279 /* Lower boundary extrapolation (u < u_min)...
4280 eps ~ eps_min * u/u_min => log(eps) = logeps_min + log(u) - log(u_min) */
4281 if (logu < logu_min) {
4282 const double logeps_min = (double) logeps_arr[0];
4283 return exp(logeps_min + logu - logu_min);
4284 }
4285
4286 /* Upper boundary extrapolation (u > u_max)...
4287 * Assume eps(u) approaches 1 exponentially:
4288 * eps(u) = 1 - exp(a * u), a < 0
4289 * Continuity at (u_max, eps_max) gives
4290 * a = log(1 - eps_max) / u_max.
4291 * Use log1p/expm1 and u/u_max = exp(log(u) - log(u_max)) for stability.
4292 */
4293 if (logu > logu_max) {
4294 const double eps_max = exp((double) logeps_arr[nu - 1]);
4295 const double l1m_eps_max = log1p(-eps_max);
4296 const double r = exp(logu - logu_max);
4297 return -expm1(l1m_eps_max * r);
4298 }
4299
4300 /* Interpolation (log-log using precomputed logs)... */
4301 const int idx = locate_tbl(logu_arr, nu, logu);
4302 return exp(LIN(logu_arr[idx], logeps_arr[idx],
4303 logu_arr[idx + 1], logeps_arr[idx + 1], logu));
4304}
int locate_tbl(const float *xx, const int n, const double x)
Locate index for interpolation within emissivity table grids.
Definition: jurassic.c:4530
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
Here is the call graph for this function:

◆ 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 4308 of file jurassic.c.

4314 {
4315
4316 const int nu = tbl->nu[id][ig][ip][it];
4317 const float *logeps_arr = tbl->logeps[id][ig][ip][it];
4318 const float *logu_arr = tbl->logu[id][ig][ip][it];
4319
4320 /* Work in log-space and only convert back when needed.... */
4321 const double logeps_min = (double) logeps_arr[0];
4322 const double logeps_max = (double) logeps_arr[nu - 1];
4323
4324 /* Lower boundary extrapolation (eps < eps_min)...
4325 u ~ u_min * eps/eps_min => log(u) = log(u_min) + log(eps) - log(eps_min) */
4326 if (logeps < logeps_min) {
4327 const double logu_min = (double) logu_arr[0];
4328 return exp(logu_min + logeps - logeps_min);
4329 }
4330
4331 /* Upper boundary extrapolation (eps > eps_max):
4332 * Invert the exponential tail used for eps(u):
4333 * u = log(1 - eps) / a,
4334 * with a = log(1 - eps_max) / u_max.
4335 * Rewritten as
4336 * u = u_max * log(tau) / log(1 - eps_max)
4337 * for numerical stability (log1p).
4338 */
4339 if (logeps > logeps_max) {
4340 const double u_max = exp((double) logu_arr[nu - 1]);
4341 const double l1m_eps_max = log1p(-exp(logeps_max));
4342 const double logtau = log1p(-exp(logeps));
4343 return u_max * (logtau / l1m_eps_max);
4344 }
4345
4346 /* Interpolation (log-log using precomputed logs)... */
4347 const int idx = locate_tbl(logeps_arr, nu, logeps);
4348 return exp(LIN(logeps_arr[idx], logu_arr[idx],
4349 logeps_arr[idx + 1], logu_arr[idx + 1], logeps));
4350}
Here is the call graph for this function:

◆ 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 4354 of file jurassic.c.

4362 {
4363
4364 struct tm t0, *t1;
4365
4366 t0.tm_year = 100;
4367 t0.tm_mon = 0;
4368 t0.tm_mday = 1;
4369 t0.tm_hour = 0;
4370 t0.tm_min = 0;
4371 t0.tm_sec = 0;
4372
4373 const time_t jsec0 = (time_t) jsec + timegm(&t0);
4374 t1 = gmtime(&jsec0);
4375
4376 *year = t1->tm_year + 1900;
4377 *mon = t1->tm_mon + 1;
4378 *day = t1->tm_mday;
4379 *hour = t1->tm_hour;
4380 *min = t1->tm_min;
4381 *sec = t1->tm_sec;
4382 *remain = jsec - floor(jsec);
4383}

◆ 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 4387 of file jurassic.c.

4392 {
4393
4394 /* Get sizes... */
4395 const size_t m = k->size1;
4396 const size_t n = k->size2;
4397
4398 /* Allocate... */
4399 gsl_vector *x0 = gsl_vector_alloc(n);
4400 gsl_vector *yy0 = gsl_vector_alloc(m);
4401 int *iqa;
4402 ALLOC(iqa, int,
4403 N);
4404
4405 /* Compute radiance for undisturbed atmospheric data... */
4406 formod(ctl, tbl, atm, obs);
4407
4408 /* Compose vectors... */
4409 atm2x(ctl, atm, x0, iqa, NULL);
4410 obs2y(ctl, obs, yy0, NULL, NULL);
4411
4412 /* Initialize kernel matrix... */
4413 gsl_matrix_set_zero(k);
4414
4415 /* Loop over state vector elements... */
4416#pragma omp parallel for default(none) shared(ctl,tbl,atm,obs,k,x0,yy0,n,m,iqa)
4417 for (size_t j = 0; j < n; j++) {
4418
4419 /* Allocate... */
4420 atm_t *atm1;
4421 obs_t *obs1;
4422 ALLOC(atm1, atm_t, 1);
4423 ALLOC(obs1, obs_t, 1);
4424 gsl_vector *x1 = gsl_vector_alloc(n);
4425 gsl_vector *yy1 = gsl_vector_alloc(m);
4426
4427 /* Set perturbation size... */
4428 double h;
4429 if (iqa[j] == IDXP)
4430 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-7);
4431 else if (iqa[j] == IDXT)
4432 h = 1.0;
4433 else if (iqa[j] >= IDXQ(0) && iqa[j] < IDXQ(ctl->ng))
4434 h = MAX(fabs(0.01 * gsl_vector_get(x0, j)), 1e-15);
4435 else if (iqa[j] >= IDXK(0) && iqa[j] < IDXK(ctl->nw))
4436 h = 1e-4;
4437 else if (iqa[j] == IDXCLZ || iqa[j] == IDXCLDZ)
4438 h = 1.0;
4439 else if (iqa[j] >= IDXCLK(0) && iqa[j] < IDXCLK(ctl->ncl))
4440 h = 1e-4;
4441 else if (iqa[j] == IDXSFT)
4442 h = 1.0;
4443 else if (iqa[j] >= IDXSFEPS(0) && iqa[j] < IDXSFEPS(ctl->nsf))
4444 h = 1e-2;
4445 else
4446 ERRMSG("Cannot set perturbation size!");
4447
4448 /* Disturb state vector element... */
4449 gsl_vector_memcpy(x1, x0);
4450 gsl_vector_set(x1, j, gsl_vector_get(x1, j) + h);
4451 copy_atm(ctl, atm1, atm, 0);
4452 copy_obs(ctl, obs1, obs, 0);
4453 x2atm(ctl, x1, atm1);
4454
4455 /* Compute radiance for disturbed atmospheric data... */
4456 formod(ctl, tbl, atm1, obs1);
4457
4458 /* Compose measurement vector for disturbed radiance data... */
4459 obs2y(ctl, obs1, yy1, NULL, NULL);
4460
4461 /* Compute derivatives... */
4462 for (size_t i = 0; i < m; i++)
4463 gsl_matrix_set(k, i, j,
4464 (gsl_vector_get(yy1, i) - gsl_vector_get(yy0, i)) / h);
4465
4466 /* Free... */
4467 gsl_vector_free(x1);
4468 gsl_vector_free(yy1);
4469 free(atm1);
4470 free(obs1);
4471 }
4472
4473 /* Free... */
4474 gsl_vector_free(x0);
4475 gsl_vector_free(yy0);
4476 free(iqa);
4477}
void x2atm(const ctl_t *ctl, const gsl_vector *x, atm_t *atm)
Map retrieval state vector back to atmospheric structure.
Definition: jurassic.c:8914
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:4627
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
Here is the call graph for this function:

◆ 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 4481 of file jurassic.c.

4484 {
4485
4486 int ilo = 0;
4487 int ihi = n - 1;
4488 int i = (ihi + ilo) >> 1;
4489
4490 if (xx[i] < xx[i + 1])
4491 while (ihi > ilo + 1) {
4492 i = (ihi + ilo) >> 1;
4493 if (xx[i] > x)
4494 ihi = i;
4495 else
4496 ilo = i;
4497 } else
4498 while (ihi > ilo + 1) {
4499 i = (ihi + ilo) >> 1;
4500 if (xx[i] <= x)
4501 ihi = i;
4502 else
4503 ilo = i;
4504 }
4505
4506 return ilo;
4507}

◆ 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 4511 of file jurassic.c.

4514 {
4515
4516 /* Calculate index... */
4517 const int i = (int) ((x - xx[0]) / (xx[1] - xx[0]));
4518
4519 /* Check range... */
4520 if (i < 0)
4521 return 0;
4522 else if (i > n - 2)
4523 return n - 2;
4524 else
4525 return i;
4526}

◆ 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 4530 of file jurassic.c.

4533 {
4534
4535 int ilo = 0;
4536 int ihi = n - 1;
4537 int i = (ihi + ilo) >> 1;
4538
4539 while (ihi > ilo + 1) {
4540 i = (ihi + ilo) >> 1;
4541 if (xx[i] > x)
4542 ihi = i;
4543 else
4544 ilo = i;
4545 }
4546
4547 return ilo;
4548}

◆ 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 4552 of file jurassic.c.

4553 {
4554
4555 size_t diag = 1;
4556
4557 /* Get size... */
4558 const size_t n = a->size1;
4559
4560 /* Check if matrix is diagonal... */
4561 for (size_t i = 0; i < n && diag; i++)
4562 for (size_t j = i + 1; j < n; j++)
4563 if (gsl_matrix_get(a, i, j) != 0) {
4564 diag = 0;
4565 break;
4566 }
4567
4568 /* Quick inversion of diagonal matrix... */
4569 if (diag)
4570 for (size_t i = 0; i < n; i++)
4571 gsl_matrix_set(a, i, i, 1 / gsl_matrix_get(a, i, i));
4572
4573 /* Matrix inversion by means of Cholesky decomposition... */
4574 else {
4575 gsl_linalg_cholesky_decomp(a);
4576 gsl_linalg_cholesky_invert(a);
4577 }
4578}

◆ 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 4582 of file jurassic.c.

4586 {
4587
4588 /* Set sizes... */
4589 const size_t m = a->size1;
4590 const size_t n = a->size2;
4591
4592 /* Allocate... */
4593 gsl_matrix *aux = gsl_matrix_alloc(m, n);
4594
4595 /* Compute A^T B A... */
4596 if (transpose == 1) {
4597
4598 /* Compute B^1/2 A... */
4599 for (size_t i = 0; i < m; i++)
4600 for (size_t j = 0; j < n; j++)
4601 gsl_matrix_set(aux, i, j,
4602 gsl_vector_get(b, i) * gsl_matrix_get(a, i, j));
4603
4604 /* Compute A^T B A = (B^1/2 A)^T (B^1/2 A)... */
4605 gsl_blas_dgemm(CblasTrans, CblasNoTrans, 1.0, aux, aux, 0.0, c);
4606 }
4607
4608 /* Compute A B A^T... */
4609 else if (transpose == 2) {
4610
4611 /* Compute A B^1/2... */
4612 for (size_t i = 0; i < m; i++)
4613 for (size_t j = 0; j < n; j++)
4614 gsl_matrix_set(aux, i, j,
4615 gsl_matrix_get(a, i, j) * gsl_vector_get(b, j));
4616
4617 /* Compute A B A^T = (A B^1/2) (A B^1/2)^T... */
4618 gsl_blas_dgemm(CblasNoTrans, CblasTrans, 1.0, aux, aux, 0.0, c);
4619 }
4620
4621 /* Free... */
4622 gsl_matrix_free(aux);
4623}

◆ 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 4627 of file jurassic.c.

4632 {
4633
4634 size_t m = 0;
4635
4636 /* Determine measurement vector... */
4637 for (int ir = 0; ir < obs->nr; ir++)
4638 for (int id = 0; id < ctl->nd; id++)
4639 if (isfinite(obs->rad[id][ir])) {
4640 if (y != NULL)
4641 gsl_vector_set(y, m, obs->rad[id][ir]);
4642 if (ida != NULL)
4643 ida[m] = id;
4644 if (ira != NULL)
4645 ira[m] = ir;
4646 m++;
4647 }
4648
4649 return m;
4650}

◆ 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 4654 of file jurassic.c.

4662 {
4663
4664 double disq = 0, lmpar = 0.001;
4665
4666 /* ------------------------------------------------------------
4667 Initialize...
4668 ------------------------------------------------------------ */
4669
4670 /* Allocate... */
4671 int *ipa, *iqa;
4672 ALLOC(ipa, int,
4673 N);
4674 ALLOC(iqa, int,
4675 N);
4676
4677 /* Get sizes... */
4678 const size_t m = obs2y(ctl, obs_meas, NULL, NULL, NULL);
4679 const size_t n = atm2x(ctl, atm_apr, NULL, iqa, ipa);
4680 if (m == 0 || n == 0) {
4681 WARN("Check problem definition (m = 0 or n = 0)!");
4682 *chisq = GSL_NAN;
4683 return;
4684 }
4685
4686 /* Allocate... */
4687 gsl_matrix *a = gsl_matrix_alloc(n, n);
4688 gsl_matrix *cov = gsl_matrix_alloc(n, n);
4689 gsl_matrix *k_i = gsl_matrix_alloc(m, n);
4690 gsl_matrix *s_a_inv = gsl_matrix_alloc(n, n);
4691
4692 gsl_vector *b = gsl_vector_alloc(n);
4693 gsl_vector *dx = gsl_vector_alloc(n);
4694 gsl_vector *dy = gsl_vector_alloc(m);
4695 gsl_vector *sig_eps_inv = gsl_vector_alloc(m);
4696 gsl_vector *sig_formod = gsl_vector_alloc(m);
4697 gsl_vector *sig_noise = gsl_vector_alloc(m);
4698 gsl_vector *x_a = gsl_vector_alloc(n);
4699 gsl_vector *x_i = gsl_vector_alloc(n);
4700 gsl_vector *x_step = gsl_vector_alloc(n);
4701 gsl_vector *y_aux = gsl_vector_alloc(m);
4702 gsl_vector *y_i = gsl_vector_alloc(m);
4703 gsl_vector *y_m = gsl_vector_alloc(m);
4704
4705 /* Set timer... */
4706 SELECT_TIMER("RET_SETUP", "RETRIEVAL");
4707
4708 /* Set initial state... */
4709 copy_atm(ctl, atm_i, atm_apr, 0);
4710 copy_obs(ctl, obs_i, obs_meas, 0);
4711 formod(ctl, tbl, atm_i, obs_i);
4712
4713 /* Set state vectors and observation vectors... */
4714 atm2x(ctl, atm_apr, x_a, NULL, NULL);
4715 atm2x(ctl, atm_i, x_i, NULL, NULL);
4716 obs2y(ctl, obs_meas, y_m, NULL, NULL);
4717 obs2y(ctl, obs_i, y_i, NULL, NULL);
4718
4719 /* Set inverse a priori covariance S_a^-1... */
4720 set_cov_apr(ret, ctl, atm_apr, iqa, ipa, s_a_inv);
4721 int lockfd = shared_io_lock(ret);
4722 const char *dirname;
4723 int profile;
4724 const char *filename =
4726 "matrix_cov_apr.tab", &dirname, &profile);
4727 write_matrix(dirname, filename, ctl, s_a_inv,
4728 atm_i, obs_i, "x", "x", "r", profile);
4729 shared_io_unlock(lockfd);
4730 matrix_invert(s_a_inv);
4731
4732 /* Get measurement errors... */
4733 set_cov_meas(ret, ctl, obs_meas, sig_noise, sig_formod, sig_eps_inv);
4734
4735 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4736 gsl_vector_memcpy(dx, x_i);
4737 gsl_vector_sub(dx, x_a);
4738 gsl_vector_memcpy(dy, y_m);
4739 gsl_vector_sub(dy, y_i);
4740
4741 /* Compute cost function... */
4742 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4743
4744 /* Write info... */
4745 LOG(2, "it= %d / chi^2/m= %g", 0, *chisq);
4746
4747 /* Compute initial kernel... */
4748 SELECT_TIMER("RET_KERNEL_INIT", "RETRIEVAL");
4749 kernel(ctl, tbl, atm_i, obs_i, k_i);
4750
4751 /* ------------------------------------------------------------
4752 Levenberg-Marquardt minimization...
4753 ------------------------------------------------------------ */
4754
4755 SELECT_TIMER("RET_ITERATE", "RETRIEVAL");
4756
4757 /* Outer loop... */
4758 for (int it = 1; it <= ret->conv_itmax; it++) {
4759
4760 /* Store current cost function value... */
4761 double chisq_old = *chisq;
4762
4763 /* Compute kernel matrix K_i... */
4764 if (it > 1 && it % ret->kernel_recomp == 0)
4765 kernel(ctl, tbl, atm_i, obs_i, k_i);
4766
4767 /* Compute K_i^T * S_eps^{-1} * K_i ... */
4768 if (it == 1 || it % ret->kernel_recomp == 0)
4769 matrix_product(k_i, sig_eps_inv, 1, cov);
4770
4771 /* Determine b = K_i^T * S_eps^{-1} * dy - S_a^{-1} * dx ... */
4772 for (size_t i = 0; i < m; i++)
4773 gsl_vector_set(y_aux, i, gsl_vector_get(dy, i)
4774 * POW2(gsl_vector_get(sig_eps_inv, i)));
4775 gsl_blas_dgemv(CblasTrans, 1.0, k_i, y_aux, 0.0, b);
4776 gsl_blas_dgemv(CblasNoTrans, -1.0, s_a_inv, dx, 1.0, b);
4777
4778 /* Inner loop... */
4779 for (int it2 = 0; it2 < 20; it2++) {
4780
4781 /* Compute A = (1 + lmpar) * S_a^{-1} + K_i^T * S_eps^{-1} * K_i ... */
4782 gsl_matrix_memcpy(a, s_a_inv);
4783 gsl_matrix_scale(a, 1 + lmpar);
4784 gsl_matrix_add(a, cov);
4785
4786 /* Solve A * x_step = b by means of Cholesky decomposition... */
4787 gsl_linalg_cholesky_decomp(a);
4788 gsl_linalg_cholesky_solve(a, b, x_step);
4789
4790 /* Update atmospheric state... */
4791 gsl_vector_add(x_i, x_step);
4792 copy_atm(ctl, atm_i, atm_apr, 0);
4793 copy_obs(ctl, obs_i, obs_meas, 0);
4794 x2atm(ctl, x_i, atm_i);
4795
4796 /* Check atmospheric state... */
4797 for (int ip = 0; ip < atm_i->np; ip++) {
4798 atm_i->p[ip] = CLAMP(atm_i->p[ip], 5e-7, 5e4);
4799 atm_i->t[ip] = CLAMP(atm_i->t[ip], 100, 400);
4800 for (int ig = 0; ig < ctl->ng; ig++)
4801 atm_i->q[ig][ip] = CLAMP(atm_i->q[ig][ip], 0, 1);
4802 for (int iw = 0; iw < ctl->nw; iw++)
4803 atm_i->k[iw][ip] = MAX(atm_i->k[iw][ip], 0);
4804 }
4805 atm_i->clz = MAX(atm_i->clz, 0);
4806 atm_i->cldz = MAX(atm_i->cldz, 0.1);
4807 for (int icl = 0; icl < ctl->ncl; icl++)
4808 atm_i->clk[icl] = MAX(atm_i->clk[icl], 0);
4809 atm_i->sft = CLAMP(atm_i->sft, 100, 400);
4810 for (int isf = 0; isf < ctl->nsf; isf++)
4811 atm_i->sfeps[isf] = CLAMP(atm_i->sfeps[isf], 0, 1);
4812
4813 /* Forward calculation... */
4814 formod(ctl, tbl, atm_i, obs_i);
4815 obs2y(ctl, obs_i, y_i, NULL, NULL);
4816
4817 /* Determine dx = x_i - x_a and dy = y - F(x_i) ... */
4818 gsl_vector_memcpy(dx, x_i);
4819 gsl_vector_sub(dx, x_a);
4820 gsl_vector_memcpy(dy, y_m);
4821 gsl_vector_sub(dy, y_i);
4822
4823 /* Compute cost function... */
4824 *chisq = cost_function(dx, dy, s_a_inv, sig_eps_inv);
4825
4826 /* Modify Levenberg-Marquardt parameter... */
4827 if (*chisq > chisq_old) {
4828 lmpar *= 10;
4829 gsl_vector_sub(x_i, x_step);
4830 } else {
4831 lmpar /= 10;
4832 break;
4833 }
4834 }
4835
4836 /* Write info... */
4837 LOG(2, "it= %d / chi^2/m= %g", it, *chisq);
4838
4839 /* Get normalized step size in state space... */
4840 gsl_blas_ddot(x_step, b, &disq);
4841 disq /= (double) n;
4842
4843 /* Convergence test... */
4844 if ((it == 1 || it % ret->kernel_recomp == 0) && disq < ret->conv_dmin)
4845 break;
4846 }
4847
4848 /* ------------------------------------------------------------
4849 Analysis of retrieval results...
4850 ------------------------------------------------------------ */
4851
4852 /* Check if error analysis is requested... */
4853 if (ret->err_ana) {
4854
4855 SELECT_TIMER("RET_DIAGNOSTICS", "OUTPUT");
4856
4857 /* Store results... */
4858 lockfd = shared_io_lock(ret);
4860 "atm_final.tab", &dirname, &profile);
4861 write_atm(dirname, filename, ctl, atm_i, profile);
4863 "obs_final.tab", &dirname, &profile);
4864 write_obs(dirname, filename, ctl, obs_i, profile);
4865 filename =
4867 "matrix_kernel.tab", &dirname, &profile);
4868 write_matrix(dirname, filename, ctl, k_i,
4869 atm_i, obs_i, "y", "x", "r", profile);
4870
4871 /* Allocate... */
4872 gsl_matrix *auxnm = gsl_matrix_alloc(n, m);
4873 gsl_matrix *corr = gsl_matrix_alloc(n, n);
4874 gsl_matrix *gain = gsl_matrix_alloc(n, m);
4875
4876 /* Compute inverse retrieval covariance...
4877 cov^{-1} = S_a^{-1} + K_i^T * S_eps^{-1} * K_i */
4878 matrix_product(k_i, sig_eps_inv, 1, cov);
4879 gsl_matrix_add(cov, s_a_inv);
4880
4881 /* Compute retrieval covariance... */
4882 matrix_invert(cov);
4883 filename =
4885 "matrix_cov_ret.tab", &dirname, &profile);
4886 write_matrix(dirname, filename, ctl, cov,
4887 atm_i, obs_i, "x", "x", "r", profile);
4888 write_stddev("total", ret, ctl, atm_i, cov);
4889
4890 /* Compute correlation matrix... */
4891 for (size_t i = 0; i < n; i++)
4892 for (size_t j = 0; j < n; j++)
4893 gsl_matrix_set(corr, i, j, gsl_matrix_get(cov, i, j)
4894 / sqrt(gsl_matrix_get(cov, i, i))
4895 / sqrt(gsl_matrix_get(cov, j, j)));
4897 "matrix_corr.tab", &dirname, &profile);
4898 write_matrix(dirname, filename, ctl, corr,
4899 atm_i, obs_i, "x", "x", "r", profile);
4900
4901 /* Compute gain matrix...
4902 G = cov * K^T * S_eps^{-1} */
4903 for (size_t i = 0; i < n; i++)
4904 for (size_t j = 0; j < m; j++)
4905 gsl_matrix_set(auxnm, i, j, gsl_matrix_get(k_i, j, i)
4906 * POW2(gsl_vector_get(sig_eps_inv, j)));
4907 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, cov, auxnm, 0.0, gain);
4909 "matrix_gain.tab", &dirname, &profile);
4910 write_matrix(dirname, filename, ctl, gain,
4911 atm_i, obs_i, "x", "y", "c", profile);
4912
4913 /* Compute retrieval error due to noise... */
4914 matrix_product(gain, sig_noise, 2, a);
4915 write_stddev("noise", ret, ctl, atm_i, a);
4916
4917 /* Compute retrieval error due to forward model errors... */
4918 matrix_product(gain, sig_formod, 2, a);
4919 write_stddev("formod", ret, ctl, atm_i, a);
4920
4921 /* Compute averaging kernel matrix
4922 A = G * K ... */
4923 gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, gain, k_i, 0.0, a);
4925 "matrix_avk.tab", &dirname, &profile);
4926 write_matrix(dirname, filename, ctl, a,
4927 atm_i, obs_i, "x", "x", "r", profile);
4928
4929 /* Analyze averaging kernel matrix... */
4930 analyze_avk(ret, ctl, atm_i, iqa, ipa, a);
4931 shared_io_unlock(lockfd);
4932
4933 /* Free... */
4934 gsl_matrix_free(auxnm);
4935 gsl_matrix_free(corr);
4936 gsl_matrix_free(gain);
4937 }
4938
4939 /* ------------------------------------------------------------
4940 Finalize...
4941 ------------------------------------------------------------ */
4942
4943 gsl_matrix_free(a);
4944 gsl_matrix_free(cov);
4945 gsl_matrix_free(k_i);
4946 gsl_matrix_free(s_a_inv);
4947
4948 gsl_vector_free(b);
4949 gsl_vector_free(dx);
4950 gsl_vector_free(dy);
4951 gsl_vector_free(sig_eps_inv);
4952 gsl_vector_free(sig_formod);
4953 gsl_vector_free(sig_noise);
4954 gsl_vector_free(x_a);
4955 gsl_vector_free(x_i);
4956 gsl_vector_free(x_step);
4957 gsl_vector_free(y_aux);
4958 gsl_vector_free(y_i);
4959 gsl_vector_free(y_m);
4960
4961 free(ipa);
4962 free(iqa);
4963}
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:6880
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:4582
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:7753
void shared_io_unlock(int fd)
Release a shared retrieval output lock.
Definition: jurassic.c:6907
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:6791
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:8275
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:4387
void matrix_invert(gsl_matrix *a)
Invert a square matrix, optimized for diagonal or symmetric positive-definite matrices.
Definition: jurassic.c:4552
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:6680
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:8679
#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
Here is the call graph for this function:

◆ 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 4965 of file jurassic.c.

4970 {
4971
4972 const double h = 0.02, zrefrac = 60;
4973
4974 double ex0[3], ex1[3], k[NW], lat, lon, n, ng[3], norm, p, q[NG], t,
4975 x[3], xh[3], xobs[3], xvp[3], z = 1e99, zmax, zmin;
4976
4977 int stop = 0;
4978
4979 /* Initialize... */
4980 los->np = 0;
4981 los->sft = -999;
4982 obs->tpz[ir] = obs->vpz[ir];
4983 obs->tplon[ir] = obs->vplon[ir];
4984 obs->tplat[ir] = obs->vplat[ir];
4985
4986 /* Get altitude range of atmospheric data... */
4987 gsl_stats_minmax(&zmin, &zmax, atm->z, 1, (size_t) atm->np);
4988
4989 /* Check observer altitude... */
4990 if (obs->obsz[ir] < zmin)
4991 ERRMSG("Observer below surface!");
4992
4993 /* Determine Cartesian coordinates for observer and view point... */
4994 geo2cart(obs->obsz[ir], obs->obslon[ir], obs->obslat[ir], xobs);
4995 geo2cart(obs->vpz[ir], obs->vplon[ir], obs->vplat[ir], xvp);
4996
4997 /* Determine initial tangent vector... */
4998 for (int i = 0; i < 3; i++)
4999 ex0[i] = xvp[i] - xobs[i];
5000 norm = NORM(ex0);
5001 for (int i = 0; i < 3; i++)
5002 ex0[i] /= norm;
5003
5004 /* Observer within atmosphere... */
5005 for (int i = 0; i < 3; i++)
5006 x[i] = xobs[i];
5007
5008 /* Observer above atmosphere (search entry point)... */
5009 if (obs->obsz[ir] > zmax) {
5010 double dmax = norm, dmin = 0;
5011 while (fabs(dmin - dmax) > 0.001) {
5012 const double d = (dmax + dmin) / 2;
5013 for (int i = 0; i < 3; i++)
5014 x[i] = xobs[i] + d * ex0[i];
5015 cart2geo(x, &z, &lon, &lat);
5016 if (z <= zmax && z > zmax - 0.001)
5017 break;
5018 if (z < zmax - 0.0005)
5019 dmax = d;
5020 else
5021 dmin = d;
5022 }
5023 }
5024
5025 /* Ray-tracing... */
5026 while (1) {
5027
5028 /* Set step length... */
5029 double ds = ctl->rayds;
5030 if (ctl->raydz > 0) {
5031 norm = NORM(x);
5032 for (int i = 0; i < 3; i++)
5033 xh[i] = x[i] / norm;
5034 const double cosa = fabs(DOTP(ex0, xh));
5035 if (cosa != 0)
5036 ds = MIN(ctl->rayds, ctl->raydz / cosa);
5037 }
5038
5039 /* Determine geolocation... */
5040 cart2geo(x, &z, &lon, &lat);
5041
5042 /* Check if LOS hits the ground or has left atmosphere... */
5043 if (z < zmin || z > zmax) {
5044 stop = (z < zmin ? 2 : 1);
5045 const double frac =
5046 ((z <
5047 zmin ? zmin : zmax) - los->z[los->np - 1]) / (z - los->z[los->np -
5048 1]);
5049 geo2cart(los->z[los->np - 1], los->lon[los->np - 1],
5050 los->lat[los->np - 1], xh);
5051 for (int i = 0; i < 3; i++)
5052 x[i] = xh[i] + frac * (x[i] - xh[i]);
5053 cart2geo(x, &z, &lon, &lat);
5054 los->ds[los->np - 1] = ds * frac;
5055 ds = 0;
5056 }
5057
5058 /* Interpolate atmospheric data... */
5059 intpol_atm(ctl, atm, z, &p, &t, q, k);
5060
5061 /* Save data... */
5062 los->lon[los->np] = lon;
5063 los->lat[los->np] = lat;
5064 los->z[los->np] = z;
5065 los->p[los->np] = p;
5066 los->t[los->np] = t;
5067 for (int ig = 0; ig < ctl->ng; ig++)
5068 los->q[los->np][ig] = q[ig];
5069 for (int id = 0; id < ctl->nd; id++)
5070 los->k[los->np][id] = k[ctl->window[id]];
5071 los->ds[los->np] = ds;
5072
5073 /* Add cloud extinction... */
5074 if (ctl->ncl > 0 && atm->cldz > 0) {
5075 const double aux = exp(-0.5 * POW2((z - atm->clz) / atm->cldz));
5076 for (int id = 0; id < ctl->nd; id++) {
5077 const int icl = locate_irr(ctl->clnu, ctl->ncl, ctl->nu[id]);
5078 los->k[los->np][id]
5079 += aux * LIN(ctl->clnu[icl], atm->clk[icl],
5080 ctl->clnu[icl + 1], atm->clk[icl + 1], ctl->nu[id]);
5081 }
5082 }
5083
5084 /* Increment and check number of LOS points... */
5085 if ((++los->np) > NLOS)
5086 ERRMSG("Too many LOS points!");
5087
5088 /* Check stop flag... */
5089 if (stop) {
5090
5091 /* Set surface temperature... */
5092 if (ctl->nsf > 0 && atm->sft > 0)
5093 t = atm->sft;
5094 los->sft = (stop == 2 ? t : -999);
5095
5096 /* Set surface emissivity... */
5097 for (int id = 0; id < ctl->nd; id++) {
5098 los->sfeps[id] = 1.0;
5099 if (ctl->nsf > 0) {
5100 const int isf = locate_irr(ctl->sfnu, ctl->nsf, ctl->nu[id]);
5101 los->sfeps[id] = LIN(ctl->sfnu[isf], atm->sfeps[isf],
5102 ctl->sfnu[isf + 1], atm->sfeps[isf + 1],
5103 ctl->nu[id]);
5104 }
5105 }
5106
5107 /* Leave raytracer... */
5108 break;
5109 }
5110
5111 /* Determine refractivity... */
5112 if (ctl->refrac && z <= zrefrac)
5113 n = 1 + REFRAC_EDLEN(p, t);
5114 else
5115 n = 1;
5116
5117 /* Construct new tangent vector (first term)... */
5118 for (int i = 0; i < 3; i++)
5119 ex1[i] = ex0[i] * n;
5120
5121 /* Compute gradient of refractivity... */
5122 if (ctl->refrac && z <= zrefrac) {
5123 for (int i = 0; i < 3; i++)
5124 xh[i] = x[i] + 0.5 * ds * ex0[i];
5125 cart2geo(xh, &z, &lon, &lat);
5126 intpol_atm(ctl, atm, z, &p, &t, q, k);
5127 n = REFRAC_EDLEN(p, t);
5128 for (int i = 0; i < 3; i++) {
5129 xh[i] += h;
5130 cart2geo(xh, &z, &lon, &lat);
5131 intpol_atm(ctl, atm, z, &p, &t, q, k);
5132 ng[i] = (REFRAC_EDLEN(p, t) - n) / h;
5133 xh[i] -= h;
5134 }
5135 } else
5136 for (int i = 0; i < 3; i++)
5137 ng[i] = 0;
5138
5139 /* Construct new tangent vector (second term)... */
5140 for (int i = 0; i < 3; i++)
5141 ex1[i] += ds * ng[i];
5142
5143 /* Normalize new tangent vector... */
5144 norm = NORM(ex1);
5145 for (int i = 0; i < 3; i++)
5146 ex1[i] /= norm;
5147
5148 /* Determine next point of LOS... */
5149 for (int i = 0; i < 3; i++)
5150 x[i] += 0.5 * ds * (ex0[i] + ex1[i]);
5151
5152 /* Copy tangent vector... */
5153 for (int i = 0; i < 3; i++)
5154 ex0[i] = ex1[i];
5155 }
5156
5157 /* Get tangent point (to be done before changing segment lengths!)... */
5158 tangent_point(los, &obs->tpz[ir], &obs->tplon[ir], &obs->tplat[ir]);
5159
5160 /* Change segment lengths according to trapezoid rule... */
5161 for (int ip = los->np - 1; ip >= 1; ip--)
5162 los->ds[ip] = 0.5 * (los->ds[ip - 1] + los->ds[ip]);
5163 los->ds[0] *= 0.5;
5164
5165 /* Compute column density... */
5166 for (int ip = 0; ip < los->np; ip++)
5167 for (int ig = 0; ig < ctl->ng; ig++)
5168 los->u[ip][ig] = 10 * los->q[ip][ig] * los->p[ip]
5169 / (KB * los->t[ip]) * los->ds[ip];
5170
5171 /* Compute Curtis-Godson means... */
5172 for (int ig = 0; ig < ctl->ng; ig++) {
5173 los->cgu[0][ig] = los->u[0][ig];
5174 los->cgp[0][ig] = los->u[0][ig] * los->p[0];
5175 los->cgt[0][ig] = los->u[0][ig] * los->t[0];
5176 }
5177 for (int ip = 1; ip < los->np; ip++)
5178 for (int ig = 0; ig < ctl->ng; ig++) {
5179 los->cgu[ip][ig] = los->cgu[ip - 1][ig] + los->u[ip][ig];
5180 los->cgp[ip][ig] = los->cgp[ip - 1][ig] + los->u[ip][ig] * los->p[ip];
5181 los->cgt[ip][ig] = los->cgt[ip - 1][ig] + los->u[ip][ig] * los->t[ip];
5182 }
5183 for (int ip = 0; ip < los->np; ip++)
5184 for (int ig = 0; ig < ctl->ng; ig++)
5185 if (los->cgu[ip][ig] != 0) {
5186 los->cgp[ip][ig] /= los->cgu[ip][ig];
5187 los->cgt[ip][ig] /= los->cgu[ip][ig];
5188 }
5189}
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:6959
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
Here is the call graph for this function:

◆ 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 5193 of file jurassic.c.

5198 {
5199
5200 /* Init... */
5201 atm->np = 0;
5202
5203 /* Set filename... */
5204 char file[LEN];
5205 if (dirname != NULL)
5206 sprintf(file, "%s/%s", dirname, filename);
5207 else
5208 sprintf(file, "%s", filename);
5209
5210 /* Write info... */
5211 LOG(1, "Read atmospheric data: %s", file);
5212
5213 /* Read ASCII data... */
5214 if (ctl->atmfmt == 1)
5215 read_atm_asc(file, ctl, atm);
5216
5217 /* Read binary data... */
5218 else if (ctl->atmfmt == 2)
5219 read_atm_bin(file, ctl, atm);
5220
5221 /* Read netCDF data... */
5222 else if (ctl->atmfmt == 3)
5223 read_atm_nc(file, ctl, atm, profile);
5224
5225 /* Check number of points... */
5226 if (atm->np < 1)
5227 ERRMSG("Could not read any data!");
5228
5229 /* Write info... */
5230 double mini, maxi;
5231 LOG(2, "Number of data points: %d", atm->np);
5232 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
5233 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5234 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
5235 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
5236 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
5237 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
5238 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
5239 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
5240 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
5241 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
5242 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
5243 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
5244 for (int ig = 0; ig < ctl->ng; ig++) {
5245 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
5246 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
5247 }
5248 for (int iw = 0; iw < ctl->nw; iw++) {
5249 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
5250 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
5251 }
5252 if (ctl->ncl > 0) {
5253 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
5254 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
5255 } else
5256 LOG(2, "Cloud layer: none");
5257 if (ctl->nsf > 0) {
5258 LOG(2,
5259 "Surface: T_s = %g K | eps= %g ... %g",
5260 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
5261 } else
5262 LOG(2, "Surface: none");
5263}
void read_atm_bin(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in binary format.
Definition: jurassic.c:5318
void read_atm_asc(const char *filename, const ctl_t *ctl, atm_t *atm)
Read atmospheric data in ASCII format.
Definition: jurassic.c:5267
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:5412
int atmfmt
Atmospheric data file format (1=ASCII, 2=binary, 3=netCDF).
Definition: jurassic.h:1485
Here is the call graph for this function:

◆ 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 5267 of file jurassic.c.

5270 {
5271
5272 /* Init... */
5273 atm->np = 0;
5274
5275 /* Open file... */
5276 FILE *in;
5277 if (!(in = fopen(filename, "r")))
5278 ERRMSG("Cannot open file!");
5279
5280 /* Read line... */
5281 char line[LEN], *tok;
5282 while (fgets(line, LEN, in)) {
5283
5284 /* Read data... */
5285 TOK(line, tok, "%lg", atm->time[atm->np]);
5286 TOK(NULL, tok, "%lg", atm->z[atm->np]);
5287 TOK(NULL, tok, "%lg", atm->lon[atm->np]);
5288 TOK(NULL, tok, "%lg", atm->lat[atm->np]);
5289 TOK(NULL, tok, "%lg", atm->p[atm->np]);
5290 TOK(NULL, tok, "%lg", atm->t[atm->np]);
5291 for (int ig = 0; ig < ctl->ng; ig++)
5292 TOK(NULL, tok, "%lg", atm->q[ig][atm->np]);
5293 for (int iw = 0; iw < ctl->nw; iw++)
5294 TOK(NULL, tok, "%lg", atm->k[iw][atm->np]);
5295 if (ctl->ncl > 0 && atm->np == 0) {
5296 TOK(NULL, tok, "%lg", atm->clz);
5297 TOK(NULL, tok, "%lg", atm->cldz);
5298 for (int icl = 0; icl < ctl->ncl; icl++)
5299 TOK(NULL, tok, "%lg", atm->clk[icl]);
5300 }
5301 if (ctl->nsf > 0 && atm->np == 0) {
5302 TOK(NULL, tok, "%lg", atm->sft);
5303 for (int isf = 0; isf < ctl->nsf; isf++)
5304 TOK(NULL, tok, "%lg", atm->sfeps[isf]);
5305 }
5306
5307 /* Increment data point counter... */
5308 if ((++atm->np) > NP)
5309 ERRMSG("Too many data points!");
5310 }
5311
5312 /* Close file... */
5313 fclose(in);
5314}
#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 5318 of file jurassic.c.

5321 {
5322
5323 /* Open file... */
5324 FILE *in;
5325 if (!(in = fopen(filename, "r")))
5326 ERRMSG("Cannot open file!");
5327
5328 /* Read header... */
5329 char magic[4];
5330 FREAD(magic, char,
5331 4,
5332 in);
5333 if (memcmp(magic, "ATM1", 4) != 0)
5334 ERRMSG("Invalid magic string!");
5335
5336 int ng, nw, ncl, nsf;
5337 FREAD(&ng, int,
5338 1,
5339 in);
5340 FREAD(&nw, int,
5341 1,
5342 in);
5343 FREAD(&ncl, int,
5344 1,
5345 in);
5346 FREAD(&nsf, int,
5347 1,
5348 in);
5349 if (ng != ctl->ng || nw != ctl->nw || ncl != ctl->ncl || nsf != ctl->nsf)
5350 ERRMSG("Error reading file header!");
5351
5352 /* Read data... */
5353 size_t np;
5354 FREAD(&np, size_t,
5355 1,
5356 in);
5357 atm->np = (int) np;
5358 if (atm->np > NP)
5359 ERRMSG("Too many data points!");
5360 FREAD(atm->time, double,
5361 np,
5362 in);
5363 FREAD(atm->z, double,
5364 np,
5365 in);
5366 FREAD(atm->lon, double,
5367 np,
5368 in);
5369 FREAD(atm->lat, double,
5370 np,
5371 in);
5372 FREAD(atm->p, double,
5373 np,
5374 in);
5375 FREAD(atm->t, double,
5376 np,
5377 in);
5378 for (int ig = 0; ig < ctl->ng; ig++)
5379 FREAD(atm->q[ig], double,
5380 np,
5381 in);
5382 for (int iw = 0; iw < ctl->nw; iw++)
5383 FREAD(atm->k[iw], double,
5384 np,
5385 in);
5386 if (ctl->ncl > 0) {
5387 FREAD(&atm->clz, double,
5388 1,
5389 in);
5390 FREAD(&atm->cldz, double,
5391 1,
5392 in);
5393 FREAD(atm->clk, double,
5394 (size_t) ctl->ncl,
5395 in);
5396 }
5397 if (ctl->nsf) {
5398 FREAD(&atm->sft, double,
5399 1,
5400 in);
5401 FREAD(atm->sfeps, double,
5402 (size_t) ctl->nsf,
5403 in);
5404 }
5405
5406 /* Close file... */
5407 fclose(in);
5408}
#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 5412 of file jurassic.c.

5416 {
5417
5418 int ncid, var_time, var_z, var_lon, var_lat, var_p, var_t, var_q[NG],
5419 var_k[NW], var_cz = -1, var_cdz = -1, var_ck[NCL], var_sft =
5420 -1, var_sfe[NSF], var_nlev = -1;
5421
5422 char varname[LEN];
5423
5424 /* Open file... */
5425 NC(nc_open(filename, NC_NOWRITE, &ncid));
5426
5427 /* Initialize hyperslab... */
5428 size_t start[2] = { (size_t) profile, 0 };
5429 size_t count[2] = { 1, 0 };
5430
5431 /* Determine atm->np... */
5432 NC(nc_inq_varid(ncid, "nlev", &var_nlev));
5433 NC(nc_get_vara_int(ncid, var_nlev, start, count, &atm->np));
5434 if (atm->np < 1 || atm->np > NP)
5435 ERRMSG("Number of level out of range!");
5436
5437 /* Update hyperslab... */
5438 count[1] = (size_t) atm->np;
5439
5440 /* Inquire core variables... */
5441 NC(nc_inq_varid(ncid, "time", &var_time));
5442 NC(nc_inq_varid(ncid, "z", &var_z));
5443 NC(nc_inq_varid(ncid, "lon", &var_lon));
5444 NC(nc_inq_varid(ncid, "lat", &var_lat));
5445 NC(nc_inq_varid(ncid, "p", &var_p));
5446 NC(nc_inq_varid(ncid, "t", &var_t));
5447
5448 /* Inquire emiters... */
5449 for (int ig = 0; ig < ctl->ng; ig++)
5450 NC(nc_inq_varid(ncid, ctl->emitter[ig], &var_q[ig]));
5451
5452 /* Inquire extinctions... */
5453 for (int iw = 0; iw < ctl->nw; iw++) {
5454 sprintf(varname, "ext_win_%d", iw);
5455 NC(nc_inq_varid(ncid, varname, &var_k[iw]));
5456 }
5457
5458 /* Inquire cloud variables... */
5459 if (ctl->ncl > 0) {
5460 NC(nc_inq_varid(ncid, "cld_z", &var_cz));
5461 NC(nc_inq_varid(ncid, "cld_dz", &var_cdz));
5462 for (int icl = 0; icl < ctl->ncl; icl++) {
5463 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
5464 NC(nc_inq_varid(ncid, varname, &var_ck[icl]));
5465 }
5466 }
5467
5468 /* Inquire surface variables... */
5469 if (ctl->nsf > 0) {
5470 NC(nc_inq_varid(ncid, "srf_t", &var_sft));
5471 for (int isf = 0; isf < ctl->nsf; isf++) {
5472 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
5473 NC(nc_inq_varid(ncid, varname, &var_sfe[isf]));
5474 }
5475 }
5476
5477 /* Read core variables... */
5478 NC(nc_get_vara_double(ncid, var_time, start, count, atm->time));
5479 NC(nc_get_vara_double(ncid, var_z, start, count, atm->z));
5480 NC(nc_get_vara_double(ncid, var_lon, start, count, atm->lon));
5481 NC(nc_get_vara_double(ncid, var_lat, start, count, atm->lat));
5482 NC(nc_get_vara_double(ncid, var_p, start, count, atm->p));
5483 NC(nc_get_vara_double(ncid, var_t, start, count, atm->t));
5484
5485 /* Read emitters... */
5486 for (int ig = 0; ig < ctl->ng; ig++)
5487 NC(nc_get_vara_double(ncid, var_q[ig], start, count, atm->q[ig]));
5488
5489 /* Read extinctions... */
5490 for (int iw = 0; iw < ctl->nw; iw++)
5491 NC(nc_get_vara_double(ncid, var_k[iw], start, count, atm->k[iw]));
5492
5493 /* Read cloud variables... */
5494 if (ctl->ncl > 0) {
5495 NC(nc_get_vara_double(ncid, var_cz, start, count, &atm->clz));
5496 NC(nc_get_vara_double(ncid, var_cdz, start, count, &atm->cldz));
5497 for (int icl = 0; icl < ctl->ncl; icl++)
5498 NC(nc_get_vara_double(ncid, var_ck[icl], start, count, &atm->clk[icl]));
5499 }
5500
5501 /* Read surface variables... */
5502 if (ctl->nsf > 0) {
5503 NC(nc_get_vara_double(ncid, var_sft, start, count, &atm->sft));
5504
5505 for (int isf = 0; isf < ctl->nsf; isf++)
5506 NC(nc_get_vara_double
5507 (ncid, var_sfe[isf], start, count, &atm->sfeps[isf]));
5508 }
5509
5510 /* Close file... */
5511 NC(nc_close(ncid));
5512}
#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 5516 of file jurassic.c.

5519 {
5520
5521 /* Write info... */
5522 LOG(1, "\nJuelich Rapid Spectral Simulation Code (JURASSIC)\n"
5523 "(executable: %s | version: %s | compiled: %s, %s)\n",
5524 argv[0], VERSION, __DATE__, __TIME__);
5525
5526 /* Emitters... */
5527 ctl->ng = (int) scan_ctl(argc, argv, "NG", -1, "0", NULL);
5528 if (ctl->ng < 0 || ctl->ng > NG)
5529 ERRMSG("Set 0 <= NG <= MAX!");
5530 for (int ig = 0; ig < ctl->ng; ig++)
5531 scan_ctl(argc, argv, "EMITTER", ig, "", ctl->emitter[ig]);
5532 ctl->ig_co2 = find_emitter(ctl, "CO2");
5533 ctl->ig_h2o = find_emitter(ctl, "H2O");
5534 ctl->ig_n2 = find_emitter(ctl, "N2");
5535 ctl->ig_o2 = find_emitter(ctl, "O2");
5536
5537 /* Radiance channels... */
5538 ctl->nd = (int) scan_ctl(argc, argv, "ND", -1, "0", NULL);
5539 if (ctl->nd < 0 || ctl->nd > ND)
5540 ERRMSG("Set 0 <= ND <= MAX!");
5541 for (int id = 0; id < ctl->nd; id++)
5542 ctl->nu[id] = scan_ctl(argc, argv, "NU", id, "", NULL);
5543
5544 /* Spectral windows... */
5545 ctl->nw = (int) scan_ctl(argc, argv, "NW", -1, "1", NULL);
5546 if (ctl->nw < 0 || ctl->nw > NW)
5547 ERRMSG("Set 0 <= NW <= MAX!");
5548 for (int id = 0; id < ctl->nd; id++)
5549 ctl->window[id] = (int) scan_ctl(argc, argv, "WINDOW", id, "0", NULL);
5550
5551 /* Cloud data... */
5552 ctl->ncl = (int) scan_ctl(argc, argv, "NCL", -1, "0", NULL);
5553 if (ctl->ncl < 0 || ctl->ncl > NCL)
5554 ERRMSG("Set 0 <= NCL <= MAX!");
5555 if (ctl->ncl == 1)
5556 ERRMSG("Set NCL > 1!");
5557 for (int icl = 0; icl < ctl->ncl; icl++)
5558 ctl->clnu[icl] = scan_ctl(argc, argv, "CLNU", icl, "", NULL);
5559
5560 /* Surface data... */
5561 ctl->nsf = (int) scan_ctl(argc, argv, "NSF", -1, "0", NULL);
5562 if (ctl->nsf < 0 || ctl->nsf > NSF)
5563 ERRMSG("Set 0 <= NSF <= MAX!");
5564 if (ctl->nsf == 1)
5565 ERRMSG("Set NSF > 1!");
5566 for (int isf = 0; isf < ctl->nsf; isf++)
5567 ctl->sfnu[isf] = scan_ctl(argc, argv, "SFNU", isf, "", NULL);
5568 ctl->sftype = (int) scan_ctl(argc, argv, "SFTYPE", -1, "2", NULL);
5569 if (ctl->sftype < 0 || ctl->sftype > 3)
5570 ERRMSG("Set 0 <= SFTYPE <= 3!");
5571 ctl->sfsza = scan_ctl(argc, argv, "SFSZA", -1, "-999", NULL);
5572
5573 /* Emissivity look-up tables... */
5574 scan_ctl(argc, argv, "TBLBASE", -1, "-", ctl->tblbase);
5575 ctl->tblfmt = (int) scan_ctl(argc, argv, "TBLFMT", -1, "1", NULL);
5576 if (ctl->tblfmt < 1 || ctl->tblfmt > 3)
5577 ERRMSG("Unknown look-up table file format, set TBLFMT to 1, 2, or 3!");
5578
5579 /* File formats... */
5580 ctl->atmfmt = (int) scan_ctl(argc, argv, "ATMFMT", -1, "1", NULL);
5581 if (ctl->atmfmt < 1 || ctl->atmfmt > 3)
5582 ERRMSG("Unknown atmospheric file format, set ATMFMT to 1, 2, or 3!");
5583 ctl->obsfmt = (int) scan_ctl(argc, argv, "OBSFMT", -1, "1", NULL);
5584 if (ctl->obsfmt < 1 || ctl->obsfmt > 3)
5585 ERRMSG("Unknown observation file format, set OBSFMT to 1, 2, or 3!");
5586 ctl->matrixfmt = (int) scan_ctl(argc, argv, "MATRIXFMT", -1, "1", NULL);
5587 if (ctl->matrixfmt < 1 || ctl->matrixfmt > 3)
5588 ERRMSG("Unknown matrix file format, set MATRIXFMT to 1, 2, or 3!");
5589
5590 /* Hydrostatic equilibrium... */
5591 ctl->hydz = scan_ctl(argc, argv, "HYDZ", -1, "-999", NULL);
5592
5593 /* Continua... */
5594 ctl->ctm_co2 = (int) scan_ctl(argc, argv, "CTM_CO2", -1, "1", NULL);
5595 ctl->ctm_h2o = (int) scan_ctl(argc, argv, "CTM_H2O", -1, "1", NULL);
5596 ctl->ctm_n2 = (int) scan_ctl(argc, argv, "CTM_N2", -1, "1", NULL);
5597 ctl->ctm_o2 = (int) scan_ctl(argc, argv, "CTM_O2", -1, "1", NULL);
5598
5599 /* Ray-tracing... */
5600 ctl->refrac = (int) scan_ctl(argc, argv, "REFRAC", -1, "1", NULL);
5601 ctl->rayds = scan_ctl(argc, argv, "RAYDS", -1, "10", NULL);
5602 ctl->raydz = scan_ctl(argc, argv, "RAYDZ", -1, "0.1", NULL);
5603
5604 /* Field of view... */
5605 scan_ctl(argc, argv, "FOV", -1, "-", ctl->fov);
5606 if (ctl->fov[0] != '-')
5607 read_shape(ctl->fov, ctl->fov_dz, ctl->fov_w, &ctl->fov_n);
5608
5609 /* Retrieval interface... */
5610 ctl->retp_zmin = scan_ctl(argc, argv, "RETP_ZMIN", -1, "-999", NULL);
5611 ctl->retp_zmax = scan_ctl(argc, argv, "RETP_ZMAX", -1, "-999", NULL);
5612 ctl->rett_zmin = scan_ctl(argc, argv, "RETT_ZMIN", -1, "-999", NULL);
5613 ctl->rett_zmax = scan_ctl(argc, argv, "RETT_ZMAX", -1, "-999", NULL);
5614 for (int ig = 0; ig < ctl->ng; ig++) {
5615 ctl->retq_zmin[ig] = scan_ctl(argc, argv, "RETQ_ZMIN", ig, "-999", NULL);
5616 ctl->retq_zmax[ig] = scan_ctl(argc, argv, "RETQ_ZMAX", ig, "-999", NULL);
5617 }
5618 for (int iw = 0; iw < ctl->nw; iw++) {
5619 ctl->retk_zmin[iw] = scan_ctl(argc, argv, "RETK_ZMIN", iw, "-999", NULL);
5620 ctl->retk_zmax[iw] = scan_ctl(argc, argv, "RETK_ZMAX", iw, "-999", NULL);
5621 }
5622 ctl->ret_clz = (int) scan_ctl(argc, argv, "RET_CLZ", -1, "0", NULL);
5623 ctl->ret_cldz = (int) scan_ctl(argc, argv, "RET_CLDZ", -1, "0", NULL);
5624 ctl->ret_clk = (int) scan_ctl(argc, argv, "RET_CLK", -1, "0", NULL);
5625 ctl->ret_sft = (int) scan_ctl(argc, argv, "RET_SFT", -1, "0", NULL);
5626 ctl->ret_sfeps = (int) scan_ctl(argc, argv, "RET_SFEPS", -1, "0", NULL);
5627
5628 /* Output flags... */
5629 ctl->write_bbt = (int) scan_ctl(argc, argv, "WRITE_BBT", -1, "0", NULL);
5630 ctl->write_matrix =
5631 (int) scan_ctl(argc, argv, "WRITE_MATRIX", -1, "0", NULL);
5632
5633 /* External forward models... */
5634 ctl->formod = (int) scan_ctl(argc, argv, "FORMOD", -1, "1", NULL);
5635 scan_ctl(argc, argv, "RFMBIN", -1, "-", ctl->rfmbin);
5636 scan_ctl(argc, argv, "RFMHIT", -1, "-", ctl->rfmhit);
5637 for (int ig = 0; ig < ctl->ng; ig++)
5638 scan_ctl(argc, argv, "RFMXSC", ig, "-", ctl->rfmxsc[ig]);
5639}
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:6612
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:6291
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
Here is the call graph for this function:

◆ 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 5643 of file jurassic.c.

5648 {
5649
5650 /* Read ASCII data... */
5651 if (ctl->matrixfmt == 1)
5652 read_matrix_asc(dirname, filename, matrix);
5653
5654 /* Read binary data... */
5655 else if (ctl->matrixfmt == 2)
5656 read_matrix_bin(dirname, filename, matrix);
5657
5658 /* Read netCDF data... */
5659 else if (ctl->matrixfmt == 3)
5660 read_matrix_nc(dirname, filename, matrix, dataset);
5661
5662 /* Error... */
5663 else
5664 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
5665}
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:5761
void read_matrix_asc(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from an ASCII file.
Definition: jurassic.c:5669
void read_matrix_bin(const char *dirname, const char *filename, gsl_matrix *matrix)
Read a numerical matrix from a binary file.
Definition: jurassic.c:5708
Here is the call graph for this function:

◆ 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 5669 of file jurassic.c.

5672 {
5673
5674 char dum[LEN], file[LEN], line[LEN];
5675
5676 double value;
5677
5678 int i, j;
5679
5680 /* Set filename... */
5681 if (dirname != NULL)
5682 sprintf(file, "%s/%s", dirname, filename);
5683 else
5684 sprintf(file, "%s", filename);
5685
5686 /* Write info... */
5687 LOG(1, "Read matrix: %s", file);
5688
5689 /* Open file... */
5690 FILE *in;
5691 if (!(in = fopen(file, "r")))
5692 ERRMSG("Cannot open file!");
5693
5694 /* Read data... */
5695 gsl_matrix_set_zero(matrix);
5696 while (fgets(line, LEN, in))
5697 if (sscanf(line, "%d %s %s %s %s %s %d %s %s %s %s %s %lg",
5698 &i, dum, dum, dum, dum, dum,
5699 &j, dum, dum, dum, dum, dum, &value) == 13)
5700 gsl_matrix_set(matrix, (size_t) i, (size_t) j, value);
5701
5702 /* Close file... */
5703 fclose(in);
5704}

◆ 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 5708 of file jurassic.c.

5711 {
5712
5713 char file[LEN], magic[4];
5714 size_t nr, nc;
5715
5716 /* Set filename... */
5717 if (dirname != NULL)
5718 sprintf(file, "%s/%s", dirname, filename);
5719 else
5720 sprintf(file, "%s", filename);
5721
5722 /* Write info... */
5723 LOG(1, "Read matrix: %s", file);
5724
5725 /* Open file... */
5726 FILE *in;
5727 if (!(in = fopen(file, "r")))
5728 ERRMSG("Cannot open file!");
5729
5730 /* Read header... */
5731 FREAD(magic, char,
5732 4,
5733 in);
5734 if (memcmp(magic, "MAT1", 4) != 0)
5735 ERRMSG("Invalid magic string!");
5736 FREAD(&nr, size_t,
5737 1,
5738 in);
5739 FREAD(&nc, size_t,
5740 1,
5741 in);
5742 if (nr != matrix->size1 || nc != matrix->size2)
5743 ERRMSG("Error reading file header!");
5744
5745 /* Read data... */
5746 for (size_t i = 0; i < nr; i++)
5747 for (size_t j = 0; j < nc; j++) {
5748 double value;
5749 FREAD(&value, double,
5750 1,
5751 in);
5752 gsl_matrix_set(matrix, i, j, value);
5753 }
5754
5755 /* Close file... */
5756 fclose(in);
5757}

◆ 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 5761 of file jurassic.c.

5765 {
5766
5767 char file[LEN];
5768
5769 int ncid, dimid_row, dimid_col, varid;
5770
5771 size_t nr, nc;
5772
5773 /* Set filename... */
5774 if (dirname != NULL)
5775 sprintf(file, "%s/%s", dirname, filename);
5776 else
5777 sprintf(file, "%s", filename);
5778
5779 /* Write info... */
5780 LOG(1, "Read matrix: %s", file);
5781
5782 /* Open file... */
5783 NC(nc_open(file, NC_NOWRITE, &ncid));
5784
5785 /* Read dimensions... */
5786 NC(nc_inq_dimid(ncid, "row", &dimid_row));
5787 NC(nc_inq_dimid(ncid, "col", &dimid_col));
5788 NC(nc_inq_dimlen(ncid, dimid_row, &nr));
5789 NC(nc_inq_dimlen(ncid, dimid_col, &nc));
5790 if (nr != matrix->size1 || nc != matrix->size2)
5791 ERRMSG("Error reading file header!");
5792
5793 /* Read data... */
5794 NC(nc_inq_varid(ncid, "matrix", &varid));
5795 for (size_t i = 0; i < nr; i++)
5796 for (size_t j = 0; j < nc; j++) {
5797 double value;
5798 size_t start[3] = { (size_t) dataset, i, j };
5799 size_t count[3] = { 1, 1, 1 };
5800 NC(nc_get_vara_double(ncid, varid, start, count, &value));
5801 gsl_matrix_set(matrix, i, j, value);
5802 }
5803
5804 /* Close file... */
5805 NC(nc_close(ncid));
5806}

◆ 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 5810 of file jurassic.c.

5815 {
5816
5817 /* Set filename... */
5818 char file[LEN];
5819 if (dirname != NULL)
5820 sprintf(file, "%s/%s", dirname, filename);
5821 else
5822 sprintf(file, "%s", filename);
5823
5824 /* Write info... */
5825 LOG(1, "Read observation data: %s", file);
5826
5827 /* Read ASCII data... */
5828 if (ctl->obsfmt == 1)
5829 read_obs_asc(file, ctl, obs);
5830
5831 /* Read binary data... */
5832 else if (ctl->obsfmt == 2)
5833 read_obs_bin(file, ctl, obs);
5834
5835 /* Read netCDF data... */
5836 else if (ctl->obsfmt == 3)
5837 read_obs_nc(file, ctl, obs, profile);
5838
5839 /* Check number of points... */
5840 if (obs->nr < 1)
5841 ERRMSG("Could not read any data!");
5842
5843 /* Write info... */
5844 double mini, maxi;
5845 LOG(2, "Number of ray paths: %d", obs->nr);
5846 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
5847 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
5848 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
5849 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
5850 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
5851 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
5852 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
5853 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
5854 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
5855 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
5856 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
5857 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
5858 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
5859 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
5860 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
5861 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
5862 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
5863 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
5864 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
5865 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
5866 for (int id = 0; id < ctl->nd; id++) {
5867 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
5868 if (ctl->write_bbt) {
5869 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
5870 ctl->nu[id], mini, maxi);
5871 } else {
5872 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
5873 ctl->nu[id], mini, maxi);
5874 }
5875 }
5876 for (int id = 0; id < ctl->nd; id++) {
5877 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
5878 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
5879 ctl->nu[id], mini, maxi);
5880 }
5881}
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:5929
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:6007
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:5885
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 5885 of file jurassic.c.

5888 {
5889
5890 /* Init... */
5891 obs->nr = 0;
5892
5893 /* Open file... */
5894 FILE *in;
5895 if (!(in = fopen(filename, "r")))
5896 ERRMSG("Cannot open file!");
5897
5898 /* Read line... */
5899 char line[LEN], *tok;
5900 while (fgets(line, LEN, in)) {
5901
5902 /* Read data... */
5903 TOK(line, tok, "%lg", obs->time[obs->nr]);
5904 TOK(NULL, tok, "%lg", obs->obsz[obs->nr]);
5905 TOK(NULL, tok, "%lg", obs->obslon[obs->nr]);
5906 TOK(NULL, tok, "%lg", obs->obslat[obs->nr]);
5907 TOK(NULL, tok, "%lg", obs->vpz[obs->nr]);
5908 TOK(NULL, tok, "%lg", obs->vplon[obs->nr]);
5909 TOK(NULL, tok, "%lg", obs->vplat[obs->nr]);
5910 TOK(NULL, tok, "%lg", obs->tpz[obs->nr]);
5911 TOK(NULL, tok, "%lg", obs->tplon[obs->nr]);
5912 TOK(NULL, tok, "%lg", obs->tplat[obs->nr]);
5913 for (int id = 0; id < ctl->nd; id++)
5914 TOK(NULL, tok, "%lg", obs->rad[id][obs->nr]);
5915 for (int id = 0; id < ctl->nd; id++)
5916 TOK(NULL, tok, "%lg", obs->tau[id][obs->nr]);
5917
5918 /* Increment counter... */
5919 if ((++obs->nr) > NR)
5920 ERRMSG("Too many rays!");
5921 }
5922
5923 /* Close file... */
5924 fclose(in);
5925}

◆ 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 5929 of file jurassic.c.

5932 {
5933
5934 /* Open file... */
5935 FILE *in;
5936 if (!(in = fopen(filename, "r")))
5937 ERRMSG("Cannot open file!");
5938
5939 /* Read header... */
5940 char magic[4];
5941 FREAD(magic, char,
5942 4,
5943 in);
5944 if (memcmp(magic, "OBS1", 4) != 0)
5945 ERRMSG("Invalid magic string!");
5946
5947 int nd;
5948 FREAD(&nd, int,
5949 1,
5950 in);
5951 if (nd != ctl->nd)
5952 ERRMSG("Error reading file header!");
5953
5954 /* Read data... */
5955 size_t nr;
5956 FREAD(&nr, size_t,
5957 1,
5958 in);
5959 obs->nr = (int) nr;
5960 if (obs->nr > NR)
5961 ERRMSG("Too many ray paths!");
5962 FREAD(obs->time, double,
5963 nr,
5964 in);
5965 FREAD(obs->obsz, double,
5966 nr,
5967 in);
5968 FREAD(obs->obslon, double,
5969 nr,
5970 in);
5971 FREAD(obs->obslat, double,
5972 nr,
5973 in);
5974 FREAD(obs->vpz, double,
5975 nr,
5976 in);
5977 FREAD(obs->vplon, double,
5978 nr,
5979 in);
5980 FREAD(obs->vplat, double,
5981 nr,
5982 in);
5983 FREAD(obs->tpz, double,
5984 nr,
5985 in);
5986 FREAD(obs->tplon, double,
5987 nr,
5988 in);
5989 FREAD(obs->tplat, double,
5990 nr,
5991 in);
5992 for (int id = 0; id < ctl->nd; id++)
5993 FREAD(obs->rad[id], double,
5994 nr,
5995 in);
5996 for (int id = 0; id < ctl->nd; id++)
5997 FREAD(obs->tau[id], double,
5998 nr,
5999 in);
6000
6001 /* Close file... */
6002 fclose(in);
6003}

◆ 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 6007 of file jurassic.c.

6011 {
6012
6013 int ncid, var_nray = -1, var_time = -1, var_obsz = -1, var_obslon =
6014 -1, var_obslat = -1, var_vpz = -1, var_vplon = -1, var_vplat =
6015 -1, var_tpz = -1, var_tplon = -1, var_tplat =
6016 -1, var_rad[ND], var_tau[ND];
6017 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
6018
6019 /* Open file... */
6020 NC(nc_open(filename, NC_NOWRITE, &ncid));
6021
6022 /* Initialize hyperslab... */
6023 size_t start[2] = { (size_t) profile, 0 };
6024 size_t count[2] = { 1, 0 };
6025
6026 /* Read nray(profile) -> obs->nr */
6027 NC(nc_inq_varid(ncid, "nray", &var_nray));
6028 NC(nc_get_vara_int(ncid, var_nray, start, count, &obs->nr));
6029 if (obs->nr < 1 || obs->nr > NR)
6030 ERRMSG("Number of ray paths out of range!");
6031
6032 /* Update hyperslab... */
6033 count[1] = (size_t) obs->nr;
6034
6035 /* Inquire geometry variables... */
6036 NC(nc_inq_varid(ncid, "time", &var_time));
6037 NC(nc_inq_varid(ncid, "obs_z", &var_obsz));
6038 NC(nc_inq_varid(ncid, "obs_lon", &var_obslon));
6039 NC(nc_inq_varid(ncid, "obs_lat", &var_obslat));
6040
6041 NC(nc_inq_varid(ncid, "vp_z", &var_vpz));
6042 NC(nc_inq_varid(ncid, "vp_lon", &var_vplon));
6043 NC(nc_inq_varid(ncid, "vp_lat", &var_vplat));
6044
6045 NC(nc_inq_varid(ncid, "tp_z", &var_tpz));
6046 NC(nc_inq_varid(ncid, "tp_lon", &var_tplon));
6047 NC(nc_inq_varid(ncid, "tp_lat", &var_tplat));
6048
6049 /* Inquire spectral variables per channel... */
6050 for (int id = 0; id < ctl->nd; id++) {
6051 char varname[LEN];
6052
6053 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
6054 NC(nc_inq_varid(ncid, varname, &var_rad[id]));
6055
6056 sprintf(varname, "tau_%.4f", ctl->nu[id]);
6057 NC(nc_inq_varid(ncid, varname, &var_tau[id]));
6058 }
6059
6060 /* Read geometry... */
6061 NC(nc_get_vara_double(ncid, var_time, start, count, obs->time));
6062 NC(nc_get_vara_double(ncid, var_obsz, start, count, obs->obsz));
6063 NC(nc_get_vara_double(ncid, var_obslon, start, count, obs->obslon));
6064 NC(nc_get_vara_double(ncid, var_obslat, start, count, obs->obslat));
6065
6066 NC(nc_get_vara_double(ncid, var_vpz, start, count, obs->vpz));
6067 NC(nc_get_vara_double(ncid, var_vplon, start, count, obs->vplon));
6068 NC(nc_get_vara_double(ncid, var_vplat, start, count, obs->vplat));
6069
6070 NC(nc_get_vara_double(ncid, var_tpz, start, count, obs->tpz));
6071 NC(nc_get_vara_double(ncid, var_tplon, start, count, obs->tplon));
6072 NC(nc_get_vara_double(ncid, var_tplat, start, count, obs->tplat));
6073
6074 /* Read radiance and transmittance... */
6075 for (int id = 0; id < ctl->nd; id++) {
6076 NC(nc_get_vara_double(ncid, var_rad[id], start, count, obs->rad[id]));
6077 NC(nc_get_vara_double(ncid, var_tau[id], start, count, obs->tau[id]));
6078 }
6079
6080 /* Close file... */
6081 NC(nc_close(ncid));
6082}

◆ 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 6086 of file jurassic.c.

6091 {
6092
6093 double fsum = 0, nu2[NSHAPE], *nurfm, *rad, radsum = 0;
6094
6095 int npts;
6096
6097 /* Allocate... */
6098 ALLOC(nurfm, double,
6099 RFMNPTS);
6100 ALLOC(rad, double,
6101 RFMNPTS);
6102
6103 /* Search RFM spectrum... */
6104 FILE *in;
6105 char filename[LEN];
6106 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000));
6107 if (!(in = fopen(filename, "r"))) {
6108 sprintf(filename, "%s_%05d.asc", basename, (int) (z * 1000) + 1);
6109 if (!(in = fopen(filename, "r")))
6110 ERRMSG("Cannot find RFM data file!");
6111 }
6112 fclose(in);
6113
6114 /* Read RFM spectrum... */
6115 read_rfm_spec(filename, nurfm, rad, &npts);
6116
6117 /* Set wavenumbers... */
6118 nu2[0] = nu[0];
6119 nu2[n - 1] = nu[n - 1];
6120 for (int i = 1; i < n - 1; i++)
6121 nu2[i] = LIN(0.0, nu2[0], n - 1.0, nu2[n - 1], i);
6122
6123 /* Convolute... */
6124 for (int ipts = 0; ipts < npts; ipts++)
6125 if (nurfm[ipts] >= nu2[0] && nurfm[ipts] <= nu2[n - 1]) {
6126 const int idx = locate_irr(nu2, n, nurfm[ipts]);
6127 const double filt =
6128 LIN(nu2[idx], f[idx], nu2[idx + 1], f[idx + 1], nurfm[ipts]);
6129 fsum += filt;
6130 radsum += filt * rad[ipts];
6131 }
6132
6133 /* Free... */
6134 free(nurfm);
6135 free(rad);
6136
6137 /* Return radiance... */
6138 return radsum / fsum;
6139}
void read_rfm_spec(const char *filename, double *nu, double *rad, int *npts)
Read a Reference Forward Model (RFM) ASCII spectrum.
Definition: jurassic.c:6231
#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 6143 of file jurassic.c.

6147 {
6148
6149 /* Iteration control... */
6150 ret->kernel_recomp =
6151 (int) scan_ctl(argc, argv, "KERNEL_RECOMP", -1, "3", NULL);
6152 ret->conv_itmax = (int) scan_ctl(argc, argv, "CONV_ITMAX", -1, "30", NULL);
6153 ret->conv_dmin = scan_ctl(argc, argv, "CONV_DMIN", -1, "0.1", NULL);
6154
6155 /* Error analysis... */
6156 ret->err_ana = (int) scan_ctl(argc, argv, "ERR_ANA", -1, "0", NULL);
6157
6158 for (int id = 0; id < ctl->nd; id++)
6159 ret->err_formod[id] = scan_ctl(argc, argv, "ERR_FORMOD", id, "0", NULL);
6160
6161 for (int id = 0; id < ctl->nd; id++)
6162 ret->err_noise[id] = scan_ctl(argc, argv, "ERR_NOISE", id, "0", NULL);
6163
6164 ret->err_press = scan_ctl(argc, argv, "ERR_PRESS", -1, "0", NULL);
6165 ret->err_press_cz = scan_ctl(argc, argv, "ERR_PRESS_CZ", -1, "-999", NULL);
6166 ret->err_press_ch = scan_ctl(argc, argv, "ERR_PRESS_CH", -1, "-999", NULL);
6167
6168 ret->err_temp = scan_ctl(argc, argv, "ERR_TEMP", -1, "0", NULL);
6169 ret->err_temp_cz = scan_ctl(argc, argv, "ERR_TEMP_CZ", -1, "-999", NULL);
6170 ret->err_temp_ch = scan_ctl(argc, argv, "ERR_TEMP_CH", -1, "-999", NULL);
6171
6172 for (int ig = 0; ig < ctl->ng; ig++) {
6173 ret->err_q[ig] = scan_ctl(argc, argv, "ERR_Q", ig, "0", NULL);
6174 ret->err_q_cz[ig] = scan_ctl(argc, argv, "ERR_Q_CZ", ig, "-999", NULL);
6175 ret->err_q_ch[ig] = scan_ctl(argc, argv, "ERR_Q_CH", ig, "-999", NULL);
6176 }
6177
6178 for (int iw = 0; iw < ctl->nw; iw++) {
6179 ret->err_k[iw] = scan_ctl(argc, argv, "ERR_K", iw, "0", NULL);
6180 ret->err_k_cz[iw] = scan_ctl(argc, argv, "ERR_K_CZ", iw, "-999", NULL);
6181 ret->err_k_ch[iw] = scan_ctl(argc, argv, "ERR_K_CH", iw, "-999", NULL);
6182 }
6183
6184 ret->err_clz = scan_ctl(argc, argv, "ERR_CLZ", -1, "0", NULL);
6185 ret->err_cldz = scan_ctl(argc, argv, "ERR_CLDZ", -1, "0", NULL);
6186 for (int icl = 0; icl < ctl->ncl; icl++)
6187 ret->err_clk[icl] = scan_ctl(argc, argv, "ERR_CLK", icl, "0", NULL);
6188
6189 ret->err_sft = scan_ctl(argc, argv, "ERR_SFT", -1, "0", NULL);
6190 for (int isf = 0; isf < ctl->nsf; isf++)
6191 ret->err_sfeps[isf] = scan_ctl(argc, argv, "ERR_SFEPS", isf, "0", NULL);
6192
6193 /* Shared retrieval I/O... */
6194 ret->shared_io_profile = 0;
6195 scan_ctl(argc, argv, "SHARED_IO_PROFLIST", -1, "-",
6196 ret->shared_io_proflist);
6197 scan_ctl(argc, argv, "SHARED_IO_ATM_APR_FILE", -1, "-",
6199 scan_ctl(argc, argv, "SHARED_IO_OBS_MEAS_FILE", -1, "-",
6201 scan_ctl(argc, argv, "SHARED_IO_ATM_FINAL_FILE", -1, "-",
6203 scan_ctl(argc, argv, "SHARED_IO_OBS_FINAL_FILE", -1, "-",
6205 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_APR_FILE", -1, "-",
6207 scan_ctl(argc, argv, "SHARED_IO_MATRIX_KERNEL_FILE", -1, "-",
6209 scan_ctl(argc, argv, "SHARED_IO_MATRIX_COV_RET_FILE", -1, "-",
6211 scan_ctl(argc, argv, "SHARED_IO_MATRIX_CORR_FILE", -1, "-",
6213 scan_ctl(argc, argv, "SHARED_IO_MATRIX_GAIN_FILE", -1, "-",
6215 scan_ctl(argc, argv, "SHARED_IO_MATRIX_AVK_FILE", -1, "-",
6217 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_TOTAL_FILE", -1, "-",
6219 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_NOISE_FILE", -1, "-",
6221 scan_ctl(argc, argv, "SHARED_IO_ATM_ERR_FORMOD_FILE", -1, "-",
6223 scan_ctl(argc, argv, "SHARED_IO_ATM_CONT_FILE", -1, "-",
6225 scan_ctl(argc, argv, "SHARED_IO_ATM_RES_FILE", -1, "-",
6227}
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
Here is the call graph for this function:

◆ 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 6231 of file jurassic.c.

6235 {
6236
6237 char *line = NULL, *tok;
6238
6239 size_t line_buf_size = 0;
6240
6241 double dnu, nu0, nu1;
6242
6243 int ipts = 0;
6244
6245 /* Write info... */
6246 LOG(1, "Read RFM data: %s", filename);
6247
6248 /* Open file... */
6249 FILE *in;
6250 if (!(in = fopen(filename, "r")))
6251 ERRMSG("Cannot open file!");
6252
6253 /* Read header... */
6254 for (int i = 0; i < 4; i++)
6255 if (getline(&line, &line_buf_size, in) == -1)
6256 ERRMSG("Error while reading file header!");
6257 if (sscanf(line, "%d %lg %lg %lg", npts, &nu0, &dnu, &nu1) != 4)
6258 ERRMSG("Invalid spectrum header format!");
6259
6260 /* Check number of spectral grid points... */
6261 if (*npts > RFMNPTS)
6262 ERRMSG("Too many spectral grid points!");
6263
6264 /* Read radiance data... */
6265 while (getline(&line, &line_buf_size, in) != -1 && ipts < *npts) {
6266 tok = strtok(line, " \t\n");
6267 while (tok != NULL && ipts < *npts) {
6268 if (sscanf(tok, "%lg", &rad[ipts]) == 1)
6269 ipts++;
6270 tok = strtok(NULL, " \t\n");
6271 }
6272 }
6273
6274 /* Check number of spectral grid points... */
6275 if (ipts != *npts)
6276 ERRMSG("Error while reading RFM data!");
6277
6278 /* Compute wavenumbers... */
6279 for (ipts = 0; ipts < *npts; ipts++)
6280 nu[ipts] = LIN(0.0, nu0, (double) (*npts - 1), nu1, (double) ipts);
6281
6282 /* Close file... */
6283 fclose(in);
6284
6285 /* Free.. */
6286 free(line);
6287}

◆ 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 6291 of file jurassic.c.

6295 {
6296
6297 char line[LEN];
6298
6299 /* Write info... */
6300 LOG(1, "Read shape function: %s", filename);
6301
6302 /* Open file... */
6303 FILE *in;
6304 if (!(in = fopen(filename, "r")))
6305 ERRMSG("Cannot open file!");
6306
6307 /* Read data... */
6308 *n = 0;
6309 while (fgets(line, LEN, in))
6310 if (sscanf(line, "%lg %lg", &x[*n], &y[*n]) == 2)
6311 if ((++(*n)) > NSHAPE)
6312 ERRMSG("Too many data points!");
6313
6314 /* Close file... */
6315 fclose(in);
6316
6317 /* Check number of data points... */
6318 if (*n < 2)
6319 ERRMSG("Could not read any data!");
6320
6321 /* Write info... */
6322 double mini, maxi;
6323 LOG(2, "Number of data points: %d", *n);
6324 gsl_stats_minmax(&mini, &maxi, x, 1, (size_t) *n);
6325 LOG(2, "Range of x values: %.4f ... %.4f", mini, maxi);
6326 gsl_stats_minmax(&mini, &maxi, y, 1, (size_t) *n);
6327 LOG(2, "Range of y values: %g ... %g", mini, maxi);
6328}

◆ 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 6332 of file jurassic.c.

6333 {
6334
6335 /* Allocate... */
6336 tbl_t *tbl;
6337 ALLOC(tbl, tbl_t, 1);
6338
6339 /* Initialize filter function sizes... */
6340 for (int id = 0; id < ctl->nd; id++)
6341 tbl->filt_n[id] = 0;
6342
6343 /* Loop over trace gases... */
6344 for (int ig = 0; ig < ctl->ng; ig++) {
6345
6346 /* Read ASCII look-up tables... */
6347 if (ctl->tblfmt == 1)
6348 for (int id = 0; id < ctl->nd; id++) {
6349 read_tbl_asc(ctl, tbl, id, ig);
6350 TBL_LOG(tbl, id, ig);
6351 }
6352
6353 /* Read binary look-up tables... */
6354 else if (ctl->tblfmt == 2)
6355 for (int id = 0; id < ctl->nd; id++) {
6356 read_tbl_bin(ctl, tbl, id, ig);
6357 TBL_LOG(tbl, id, ig);
6358 }
6359
6360 /* Read netCDF look-up tables... */
6361 else if (ctl->tblfmt == 3) {
6362
6363 /* Open file... */
6364 int ncid;
6365 char filename[2 * LEN];
6366 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
6367 if (nc_open(filename, NC_NOWRITE, &ncid) != NC_NOERR) {
6368 WARN("Missing emissivity table: %s", filename);
6369 continue;
6370 } else
6371 LOG(1, "Read emissivity table: %s", filename);
6372
6373 /* Read channels... */
6374 for (int id = 0; id < ctl->nd; id++) {
6375 read_tbl_nc_channel(ctl, tbl, id, ig, ncid);
6376 TBL_LOG(tbl, id, ig);
6377 }
6378
6379 /* Close file... */
6380 NC(nc_close(ncid));
6381 }
6382 }
6383
6384 /* Calculate log-pressure... */
6385 for (int id = 0; id < ctl->nd; id++)
6386 for (int ig = 0; ig < ctl->ng; ig++)
6387 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
6388 tbl->lnp[id][ig][ip] = log(tbl->p[id][ig][ip]);
6389
6390 /* Read filter functions... */
6391 if (ctl->tblfmt == 1)
6392 for (int id = 0; id < ctl->nd; id++) {
6393 char filename[2 * LEN];
6394 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
6395 read_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
6396 &tbl->filt_n[id]);
6397 }
6398
6399 /* Initialize source function lookup tables... */
6400 init_srcfunc(ctl, tbl);
6401
6402 /* Return pointer... */
6403 return tbl;
6404}
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:6531
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:6408
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:6575
#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
Here is the call graph for this function:

◆ 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 6408 of file jurassic.c.

6412 {
6413
6414 /* Initialize... */
6415 double eps, eps_old = -999, press, press_old = -999, temp,
6416 temp_old = -999, u, u_old = -999;
6417 int nrange = 0;
6418
6419 /* Set filename... */
6420 char filename[2 * LEN];
6421 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
6422 ctl->nu[id], ctl->emitter[ig]);
6423
6424 /* Open file... */
6425 FILE *in;
6426 if (!(in = fopen(filename, "r"))) {
6427 WARN("Missing emissivity table: %s", filename);
6428 return;
6429 } else
6430 LOG(1, "Read emissivity table: %s", filename);
6431
6432 /* Init pressure level counter... */
6433 tbl->np[id][ig] = -1;
6434
6435 /* Read data... */
6436 char line[LEN];
6437 while (fgets(line, LEN, in)) {
6438
6439 /* Parse line... */
6440 if (sscanf(line, "%lg %lg %lg %lg", &press, &temp, &u, &eps) != 4)
6441 continue;
6442
6443 /* Check ranges... */
6444 if (u < UMIN || u > UMAX || eps < EPSMIN || eps > EPSMAX) {
6445 nrange++;
6446 continue;
6447 }
6448
6449 /* Determine pressure index... */
6450 if (press != press_old) {
6451 press_old = press;
6452 if ((++tbl->np[id][ig]) >= TBLNP)
6453 ERRMSG("Too many pressure levels!");
6454 tbl->nt[id][ig][tbl->np[id][ig]] = -1;
6455 }
6456
6457 /* Determine temperature index... */
6458 if (temp != temp_old) {
6459 temp_old = temp;
6460 if ((++tbl->nt[id][ig][tbl->np[id][ig]]) >= TBLNT)
6461 ERRMSG("Too many temperatures!");
6462 tbl->nu[id][ig][tbl->np[id][ig]]
6463 [tbl->nt[id][ig][tbl->np[id][ig]]] = -1;
6464
6465 /* Reset dynamic arrays for this (ip,it) node... */
6466 tbl->logu[id][ig][tbl->np[id][ig]]
6467 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6468 tbl->logeps[id][ig][tbl->np[id][ig]]
6469 [tbl->nt[id][ig][tbl->np[id][ig]]] = NULL;
6470 }
6471
6472 /* Determine column density index... */
6473 if ((eps > eps_old && u > u_old) || tbl->nu[id][ig][tbl->np[id][ig]]
6474 [tbl->nt[id][ig][tbl->np[id][ig]]] < 0) {
6475 eps_old = eps;
6476 u_old = u;
6477 if ((++tbl->nu[id][ig][tbl->np[id][ig]]
6478 [tbl->nt[id][ig][tbl->np[id][ig]]]) >= TBLNU)
6479 ERRMSG("Too many column densities!");
6480
6481 /* Grow dynamic arrays (nu is used as an index during reading). */
6482 const int ip = tbl->np[id][ig];
6483 const int it = tbl->nt[id][ig][ip];
6484 const int iu = tbl->nu[id][ig][ip][it];
6485 const size_t nnew = (size_t) (iu + 1);
6486
6487 float *tmp = (float *) realloc(tbl->logu[id][ig][ip][it],
6488 nnew * sizeof(float));
6489 if (!tmp)
6490 ERRMSG("Out of memory!");
6491 tbl->logu[id][ig][ip][it] = tmp;
6492
6493 tmp =
6494 (float *) realloc(tbl->logeps[id][ig][ip][it], nnew * sizeof(float));
6495 if (!tmp)
6496 ERRMSG("Out of memory!");
6497 tbl->logeps[id][ig][ip][it] = tmp;
6498 }
6499
6500 /* Store data... */
6501 tbl->p[id][ig][tbl->np[id][ig]] = press;
6502 tbl->t[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6503 = temp;
6504 tbl->logu[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6505 [tbl->nu[id][ig][tbl->np[id][ig]]
6506 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(u);
6507 tbl->logeps[id][ig][tbl->np[id][ig]][tbl->nt[id][ig][tbl->np[id][ig]]]
6508 [tbl->nu[id][ig][tbl->np[id][ig]]
6509 [tbl->nt[id][ig][tbl->np[id][ig]]]] = (float) log(eps);
6510 }
6511
6512 /* Increment counters... */
6513 tbl->np[id][ig]++;
6514 for (int ip = 0; ip < tbl->np[id][ig]; ip++) {
6515 tbl->nt[id][ig][ip]++;
6516 for (int it = 0; it < tbl->nt[id][ig][ip]; it++)
6517 tbl->nu[id][ig][ip][it]++;
6518 }
6519
6520 /* Check ranges... */
6521 if (nrange > 0)
6522 WARN("Column density or emissivity out of range (%d data points)!",
6523 nrange);
6524
6525 /* Close file... */
6526 fclose(in);
6527}
#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 6531 of file jurassic.c.

6535 {
6536
6537 /* Set filename... */
6538 char filename[2 * LEN];
6539 sprintf(filename, "%s_%.4f_%s.bin",
6540 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
6541
6542 /* Open file... */
6543 FILE *in = fopen(filename, "rb");
6544 if (!in) {
6545 WARN("Missing emissivity table: %s", filename);
6546 return;
6547 } else
6548 LOG(1, "Read emissivity table: %s", filename);
6549
6550 /* Read length.. */
6551 size_t nbytes;
6552 FREAD(&nbytes, size_t,
6553 1,
6554 in);
6555 if (nbytes <= 0)
6556 ERRMSG("Invalid packed table size!");
6557
6558 /* Read packed blob... */
6559 uint8_t *work = NULL;
6560 ALLOC(work, uint8_t, nbytes);
6561 FREAD(work, uint8_t, nbytes, in);
6562
6563 /* Unpack... */
6564 tbl_unpack(tbl, id, ig, work);
6565
6566 /* Close file... */
6567 fclose(in);
6568
6569 /* Free... */
6570 free(work);
6571}
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:7129
Here is the call graph for this function:

◆ 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 6575 of file jurassic.c.

6580 {
6581
6582 char varname[LEN];
6583
6584 int varid, dimid;
6585
6586 size_t nbytes;
6587
6588 /* Inquire variable... */
6589 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
6590 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
6591 WARN("Missing emissivity table: %s", varname);
6592 return;
6593 } else
6594 LOG(1, "Read emissivity table: %s", varname);
6595 NC(nc_inq_vardimid(ncid, varid, &dimid));
6596 NC(nc_inq_dimlen(ncid, dimid, &nbytes));
6597
6598 /* Read variable... */
6599 uint8_t *work = NULL;
6600 ALLOC(work, uint8_t, nbytes);
6601 NC(nc_get_var_uchar(ncid, varid, (unsigned char *) work));
6602
6603 /* Unpack... */
6604 tbl_unpack(tbl, id, ig, work);
6605
6606 /* Free... */
6607 free(work);
6608}
Here is the call graph for this function:

◆ 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 6612 of file jurassic.c.

6618 {
6619
6620 char dummy[LEN], fullname1[LEN], fullname2[LEN], line[LEN],
6621 rvarname[LEN], rval[LEN];
6622
6623 int contain = 0;
6624
6625 /* Open file... */
6626 FILE *in = NULL;
6627 if (argv[1][0] != '-')
6628 if (!(in = fopen(argv[1], "r")))
6629 ERRMSG("Cannot open file!");
6630
6631 /* Set full variable name... */
6632 if (arridx >= 0) {
6633 sprintf(fullname1, "%s[%d]", varname, arridx);
6634 sprintf(fullname2, "%s[*]", varname);
6635 } else {
6636 sprintf(fullname1, "%s", varname);
6637 sprintf(fullname2, "%s", varname);
6638 }
6639
6640 /* Read data... */
6641 if (in != NULL)
6642 while (fgets(line, LEN, in))
6643 if (sscanf(line, "%s %s %s", rvarname, dummy, rval) == 3)
6644 if (strcasecmp(rvarname, fullname1) == 0 ||
6645 strcasecmp(rvarname, fullname2) == 0) {
6646 contain = 1;
6647 break;
6648 }
6649 for (int i = 1; i < argc - 1; i++)
6650 if (strcasecmp(argv[i], fullname1) == 0 ||
6651 strcasecmp(argv[i], fullname2) == 0) {
6652 sprintf(rval, "%s", argv[i + 1]);
6653 contain = 1;
6654 break;
6655 }
6656
6657 /* Close file... */
6658 if (in != NULL)
6659 fclose(in);
6660
6661 /* Check for missing variables... */
6662 if (!contain) {
6663 if (strlen(defvalue) > 0)
6664 sprintf(rval, "%s", defvalue);
6665 else
6666 ERRMSG("Missing variable %s!\n", fullname1);
6667 }
6668
6669 /* Write info... */
6670 LOG(1, "%s = %s", fullname1, rval);
6671
6672 /* Return values... */
6673 if (value != NULL)
6674 sprintf(value, "%s", rval);
6675 return atof(rval);
6676}

◆ 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 6680 of file jurassic.c.

6686 {
6687
6688 /* Get sizes... */
6689 const size_t n = s_a->size1;
6690
6691 /* Allocate... */
6692 gsl_vector *x_a = gsl_vector_alloc(n);
6693
6694 /* Get sigma vector... */
6695 atm2x(ctl, atm, x_a, NULL, NULL);
6696 for (size_t i = 0; i < n; i++) {
6697 if (iqa[i] == IDXP)
6698 gsl_vector_set(x_a, i, ret->err_press / 100 * gsl_vector_get(x_a, i));
6699 if (iqa[i] == IDXT)
6700 gsl_vector_set(x_a, i, ret->err_temp);
6701 for (int ig = 0; ig < ctl->ng; ig++)
6702 if (iqa[i] == IDXQ(ig))
6703 gsl_vector_set(x_a, i, ret->err_q[ig] / 100 * gsl_vector_get(x_a, i));
6704 for (int iw = 0; iw < ctl->nw; iw++)
6705 if (iqa[i] == IDXK(iw))
6706 gsl_vector_set(x_a, i, ret->err_k[iw]);
6707 if (iqa[i] == IDXCLZ)
6708 gsl_vector_set(x_a, i, ret->err_clz);
6709 if (iqa[i] == IDXCLDZ)
6710 gsl_vector_set(x_a, i, ret->err_cldz);
6711 for (int icl = 0; icl < ctl->ncl; icl++)
6712 if (iqa[i] == IDXCLK(icl))
6713 gsl_vector_set(x_a, i, ret->err_clk[icl]);
6714 if (iqa[i] == IDXSFT)
6715 gsl_vector_set(x_a, i, ret->err_sft);
6716 for (int isf = 0; isf < ctl->nsf; isf++)
6717 if (iqa[i] == IDXSFEPS(isf))
6718 gsl_vector_set(x_a, i, ret->err_sfeps[isf]);
6719 }
6720
6721 /* Check standard deviations... */
6722 for (size_t i = 0; i < n; i++)
6723 if (POW2(gsl_vector_get(x_a, i)) <= 0)
6724 ERRMSG("Check a priori data (zero standard deviation)!");
6725
6726 /* Initialize diagonal covariance... */
6727 gsl_matrix_set_zero(s_a);
6728 for (size_t i = 0; i < n; i++)
6729 gsl_matrix_set(s_a, i, i, POW2(gsl_vector_get(x_a, i)));
6730
6731 /* Loop over matrix elements... */
6732 for (size_t i = 0; i < n; i++)
6733 for (size_t j = 0; j < n; j++)
6734 if (i != j && iqa[i] == iqa[j]) {
6735
6736 /* Initialize... */
6737 double cz = 0;
6738 double ch = 0;
6739
6740 /* Set correlation lengths for pressure... */
6741 if (iqa[i] == IDXP) {
6742 cz = ret->err_press_cz;
6743 ch = ret->err_press_ch;
6744 }
6745
6746 /* Set correlation lengths for temperature... */
6747 if (iqa[i] == IDXT) {
6748 cz = ret->err_temp_cz;
6749 ch = ret->err_temp_ch;
6750 }
6751
6752 /* Set correlation lengths for volume mixing ratios... */
6753 for (int ig = 0; ig < ctl->ng; ig++)
6754 if (iqa[i] == IDXQ(ig)) {
6755 cz = ret->err_q_cz[ig];
6756 ch = ret->err_q_ch[ig];
6757 }
6758
6759 /* Set correlation lengths for extinction... */
6760 for (int iw = 0; iw < ctl->nw; iw++)
6761 if (iqa[i] == IDXK(iw)) {
6762 cz = ret->err_k_cz[iw];
6763 ch = ret->err_k_ch[iw];
6764 }
6765
6766 /* Compute correlations... */
6767 if (cz > 0 && ch > 0) {
6768
6769 /* Get Cartesian coordinates... */
6770 double x0[3], x1[3];
6771 geo2cart(0, atm->lon[ipa[i]], atm->lat[ipa[i]], x0);
6772 geo2cart(0, atm->lon[ipa[j]], atm->lat[ipa[j]], x1);
6773
6774 /* Compute correlations... */
6775 const double rho =
6776 exp(-DIST(x0, x1) / ch -
6777 fabs(atm->z[ipa[i]] - atm->z[ipa[j]]) / cz);
6778
6779 /* Set covariance... */
6780 gsl_matrix_set(s_a, i, j, gsl_vector_get(x_a, i)
6781 * gsl_vector_get(x_a, j) * rho);
6782 }
6783 }
6784
6785 /* Free... */
6786 gsl_vector_free(x_a);
6787}
#define DIST(a, b)
Compute Cartesian distance between two 3D vectors.
Definition: jurassic.h:523
Here is the call graph for this function:

◆ 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 6791 of file jurassic.c.

6797 {
6798
6799 /* Allocate... */
6800 obs_t *obs_err;
6801 ALLOC(obs_err, obs_t, 1);
6802
6803 /* Get size... */
6804 const size_t m = sig_eps_inv->size;
6805
6806 /* Noise error (always considered in retrieval fit)... */
6807 copy_obs(ctl, obs_err, obs, 1);
6808 for (int ir = 0; ir < obs_err->nr; ir++)
6809 for (int id = 0; id < ctl->nd; id++)
6810 obs_err->rad[id][ir]
6811 = (isfinite(obs->rad[id][ir]) ? ret->err_noise[id] : NAN);
6812 obs2y(ctl, obs_err, sig_noise, NULL, NULL);
6813
6814 /* Forward model error (always considered in retrieval fit)... */
6815 copy_obs(ctl, obs_err, obs, 1);
6816 for (int ir = 0; ir < obs_err->nr; ir++)
6817 for (int id = 0; id < ctl->nd; id++)
6818 obs_err->rad[id][ir]
6819 = fabs(ret->err_formod[id] / 100 * obs->rad[id][ir]);
6820 obs2y(ctl, obs_err, sig_formod, NULL, NULL);
6821
6822 /* Total error... */
6823 for (size_t i = 0; i < m; i++)
6824 gsl_vector_set(sig_eps_inv, i, 1 / sqrt(POW2(gsl_vector_get(sig_noise, i))
6825 +
6826 POW2(gsl_vector_get
6827 (sig_formod, i))));
6828
6829 /* Check standard deviations... */
6830 for (size_t i = 0; i < m; i++)
6831 if (gsl_vector_get(sig_eps_inv, i) <= 0)
6832 ERRMSG("Check measurement errors (zero standard deviation)!");
6833
6834 /* Free... */
6835 free(obs_err);
6836}
Here is the call graph for this function:

◆ 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 6840 of file jurassic.c.

6845 {
6846
6847 if (shared_file[0] != '-') {
6848 *dirname = NULL;
6849 *profile = ret->shared_io_profile;
6850 return shared_file;
6851 }
6852
6853 *dirname = ret->dir;
6854 *profile = 0;
6855 return legacy_file;
6856}
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 6860 of file jurassic.c.

6865 {
6866
6867 if (shared_file[0] != '-') {
6868 *dirname = NULL;
6869 *profile = ret->shared_io_profile;
6870 return shared_file;
6871 }
6872
6873 *dirname = ret->dir;
6874 *profile = 0;
6875 return legacy_file;
6876}

◆ 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 6880 of file jurassic.c.

6881 {
6882
6883 const char *base = shared_io_output_file(ret);
6884 if (base == NULL)
6885 return -1;
6886
6887 char lockfile[LEN];
6888 if (snprintf(lockfile, LEN, "%s.lock", base) >= LEN)
6889 ERRMSG("Lock file name too long!");
6890 int fd = open(lockfile, O_CREAT | O_RDWR, 0666);
6891 if (fd < 0)
6892 ERRMSG("Cannot open lock file!");
6893
6894 struct flock fl;
6895 fl.l_type = F_WRLCK;
6896 fl.l_whence = SEEK_SET;
6897 fl.l_start = 0;
6898 fl.l_len = 0;
6899 if (fcntl(fd, F_SETLKW, &fl) < 0)
6900 ERRMSG("Cannot lock shared output file!");
6901
6902 return fd;
6903}
const char * shared_io_output_file(const ret_t *ret)
Return the primary shared retrieval output file configured for locking.
Definition: jurassic.c:6925
Here is the call graph for this function:

◆ 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 6907 of file jurassic.c.

6908 {
6909
6910 if (fd < 0)
6911 return;
6912
6913 struct flock fl;
6914 fl.l_type = F_UNLCK;
6915 fl.l_whence = SEEK_SET;
6916 fl.l_start = 0;
6917 fl.l_len = 0;
6918 if (fcntl(fd, F_SETLK, &fl) < 0)
6919 ERRMSG("Cannot unlock shared output file!");
6920 close(fd);
6921}

◆ 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 6925 of file jurassic.c.

6926 {
6927
6928 if (ret->shared_io_atm_final_file[0] != '-')
6929 return ret->shared_io_atm_final_file;
6930 if (ret->shared_io_obs_final_file[0] != '-')
6931 return ret->shared_io_obs_final_file;
6932 if (ret->shared_io_matrix_cov_apr_file[0] != '-')
6934 if (ret->shared_io_matrix_kernel_file[0] != '-')
6935 return ret->shared_io_matrix_kernel_file;
6936 if (ret->shared_io_matrix_cov_ret_file[0] != '-')
6938 if (ret->shared_io_matrix_corr_file[0] != '-')
6939 return ret->shared_io_matrix_corr_file;
6940 if (ret->shared_io_matrix_gain_file[0] != '-')
6941 return ret->shared_io_matrix_gain_file;
6942 if (ret->shared_io_matrix_avk_file[0] != '-')
6943 return ret->shared_io_matrix_avk_file;
6944 if (ret->shared_io_atm_err_total_file[0] != '-')
6945 return ret->shared_io_atm_err_total_file;
6946 if (ret->shared_io_atm_err_noise_file[0] != '-')
6947 return ret->shared_io_atm_err_noise_file;
6948 if (ret->shared_io_atm_err_formod_file[0] != '-')
6950 if (ret->shared_io_atm_cont_file[0] != '-')
6951 return ret->shared_io_atm_cont_file;
6952 if (ret->shared_io_atm_res_file[0] != '-')
6953 return ret->shared_io_atm_res_file;
6954 return NULL;
6955}

◆ 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 6959 of file jurassic.c.

6963 {
6964
6965 /* Find minimum altitude... */
6966 const size_t ip = gsl_stats_min_index(los->z, 1, (size_t) los->np);
6967
6968 /* Nadir or zenith... */
6969 if (ip <= 0 || ip >= (size_t) los->np - 1) {
6970 *tpz = los->z[los->np - 1];
6971 *tplon = los->lon[los->np - 1];
6972 *tplat = los->lat[los->np - 1];
6973 }
6974
6975 /* Limb... */
6976 else {
6977
6978 /* Determine interpolating polynomial y=a*x^2+b*x+c... */
6979 const double yy0 = los->z[ip - 1];
6980 const double yy1 = los->z[ip];
6981 const double yy2 = los->z[ip + 1];
6982 const double x1 = sqrt(POW2(los->ds[ip]) - POW2(yy1 - yy0));
6983 const double x2 = x1 + sqrt(POW2(los->ds[ip + 1]) - POW2(yy2 - yy1));
6984 const double a = 1 / (x1 - x2) * (-(yy0 - yy1) / x1 + (yy0 - yy2) / x2);
6985 const double b = -(yy0 - yy1) / x1 - a * x1;
6986 const double c = yy0;
6987
6988 /* Get tangent point location... */
6989 double dummy, v[3], v0[3], v2[3];
6990 const double x = -b / (2 * a);
6991 *tpz = a * x * x + b * x + c;
6992 geo2cart(los->z[ip - 1], los->lon[ip - 1], los->lat[ip - 1], v0);
6993 geo2cart(los->z[ip + 1], los->lon[ip + 1], los->lat[ip + 1], v2);
6994 for (int i = 0; i < 3; i++)
6995 v[i] = LIN(0.0, v0[i], x2, v2[i], x);
6996 cart2geo(v, &dummy, tplon, tplat);
6997 }
6998}
Here is the call graph for this function:

◆ 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 7002 of file jurassic.c.

7004 {
7005
7006 /* Check pointer... */
7007 if (!tbl)
7008 return;
7009
7010 /* Loop over channels and emitters... */
7011 for (int id = 0; id < ctl->nd; id++)
7012 for (int ig = 0; ig < ctl->ng; ig++) {
7013
7014 /* Check number of pressure levels... */
7015 const int np = tbl->np[id][ig];
7016 if (np < 0)
7017 continue;
7018
7019 /* Loop over pressure levels... */
7020 for (int ip = 0; ip < np; ip++) {
7021
7022 /* Loop over temperature levels... */
7023 const int nt = tbl->nt[id][ig][ip];
7024 for (int it = 0; it < nt; it++) {
7025
7026 /* Free... */
7027 free(tbl->logu[id][ig][ip][it]);
7028 free(tbl->logeps[id][ig][ip][it]);
7029 tbl->logu[id][ig][ip][it] = NULL;
7030 tbl->logeps[id][ig][ip][it] = NULL;
7031 }
7032 }
7033 }
7034
7035 /* Free... */
7036 free(tbl);
7037}

◆ 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 7041 of file jurassic.c.

7046 {
7047
7048 uint8_t *cur = buf;
7049
7050 /* Pack lookup table... */
7051 int np = tbl->np[id][ig];
7052 memcpy(cur, &np, sizeof(np));
7053 cur += sizeof(np);
7054
7055 memcpy(cur, tbl->p[id][ig], (size_t) np * sizeof(double));
7056 cur += ((size_t) np * sizeof(double));
7057
7058 for (int ip = 0; ip < np; ip++) {
7059 int nt = tbl->nt[id][ig][ip];
7060 memcpy(cur, &nt, sizeof(nt));
7061 cur += sizeof(nt);
7062
7063 memcpy(cur, tbl->t[id][ig][ip], (size_t) nt * sizeof(double));
7064 cur += ((size_t) nt * sizeof(double));
7065
7066 for (int it = 0; it < nt; it++) {
7067 int nu = tbl->nu[id][ig][ip][it];
7068 memcpy(cur, &nu, sizeof(nu));
7069 cur += sizeof(nu);
7070
7071 memcpy(cur, tbl->logu[id][ig][ip][it], (size_t) nu * sizeof(float));
7072 cur += ((size_t) nu * sizeof(float));
7073
7074 memcpy(cur, tbl->logeps[id][ig][ip][it], (size_t) nu * sizeof(float));
7075 cur += ((size_t) nu * sizeof(float));
7076 }
7077 }
7078
7079 /* Pack filter function... */
7080 const int n = tbl->filt_n[id];
7081 memcpy(cur, &n, sizeof(n));
7082 cur += sizeof(n);
7083
7084 memcpy(cur, tbl->filt_nu[id], (size_t) n * sizeof(double));
7085 cur += ((size_t) n * sizeof(double));
7086
7087 memcpy(cur, tbl->filt_f[id], (size_t) n * sizeof(double));
7088 cur += ((size_t) n * sizeof(double));
7089
7090 *bytes_used = (size_t) (cur - buf);
7091}

◆ 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 7095 of file jurassic.c.

7098 {
7099
7100 size_t bytes = 0;
7101
7102 /* Size of lookup table... */
7103 const int np = tbl->np[id][ig];
7104 bytes += sizeof(int);
7105 bytes += ((size_t) np * sizeof(double));
7106
7107 for (int ip = 0; ip < np; ip++) {
7108 const int nt = tbl->nt[id][ig][ip];
7109 bytes += sizeof(int);
7110 bytes += ((size_t) nt * sizeof(double));
7111
7112 for (int it = 0; it < nt; it++) {
7113 const int nu = tbl->nu[id][ig][ip][it];
7114 bytes += sizeof(int);
7115 bytes += (2 * (size_t) nu * sizeof(float));
7116 }
7117 }
7118
7119 /* Size of filter function... */
7120 const int n = tbl->filt_n[id];
7121 bytes += sizeof(int);
7122 bytes += (2 * (size_t) n * sizeof(double));
7123
7124 return bytes;
7125}

◆ 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 7129 of file jurassic.c.

7133 {
7134
7135 const uint8_t *cur = buf;
7136
7137 /* Unpack lookup table... */
7138 int np;
7139 memcpy(&np, cur, sizeof(np));
7140 cur += sizeof(np);
7141
7142 if (np < 0 || np > TBLNP)
7143 ERRMSG("np out of range!");
7144 tbl->np[id][ig] = np;
7145
7146 memcpy(tbl->p[id][ig], cur, (size_t) np * sizeof(double));
7147 cur += ((size_t) np * sizeof(double));
7148
7149 for (int ip = 0; ip < np; ip++) {
7150
7151 int nt;
7152 memcpy(&nt, cur, sizeof(nt));
7153 cur += sizeof(nt);
7154
7155 if (nt < 0 || nt > TBLNT)
7156 ERRMSG("nt out of range!");
7157 tbl->nt[id][ig][ip] = nt;
7158
7159 memcpy(tbl->t[id][ig][ip], cur, (size_t) nt * sizeof(double));
7160 cur += ((size_t) nt * sizeof(double));
7161
7162 for (int it = 0; it < nt; it++) {
7163
7164 int nu;
7165 memcpy(&nu, cur, sizeof(nu));
7166 cur += sizeof(nu);
7167
7168 if (nu < 0 || nu > TBLNU)
7169 ERRMSG("nu out of range!");
7170 tbl->nu[id][ig][ip][it] = nu;
7171
7172 ALLOC(tbl->logu[id][ig][ip][it], float,
7173 nu);
7174 ALLOC(tbl->logeps[id][ig][ip][it], float,
7175 nu);
7176
7177 memcpy(tbl->logu[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7178 cur += ((size_t) nu * sizeof(float));
7179
7180 memcpy(tbl->logeps[id][ig][ip][it], cur, (size_t) nu * sizeof(float));
7181 cur += ((size_t) nu * sizeof(float));
7182 }
7183 }
7184
7185 /* Unpack filter function... */
7186 int n;
7187 memcpy(&n, cur, sizeof(n));
7188 cur += sizeof(n);
7189
7190 if (n < 2 || n > NSHAPE)
7191 ERRMSG("Missing or invalid filter function (filt_n) in packed table!");
7192 tbl->filt_n[id] = n;
7193
7194 memcpy(tbl->filt_nu[id], cur, (size_t) n * sizeof(double));
7195 cur += ((size_t) n * sizeof(double));
7196
7197 memcpy(tbl->filt_f[id], cur, (size_t) n * sizeof(double));
7198 cur += ((size_t) n * sizeof(double));
7199
7200 return (size_t) (cur - buf);
7201}

◆ 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 7205 of file jurassic.c.

7213 {
7214
7215 struct tm t0, t1;
7216
7217 t0.tm_year = 100;
7218 t0.tm_mon = 0;
7219 t0.tm_mday = 1;
7220 t0.tm_hour = 0;
7221 t0.tm_min = 0;
7222 t0.tm_sec = 0;
7223
7224 t1.tm_year = year - 1900;
7225 t1.tm_mon = mon - 1;
7226 t1.tm_mday = day;
7227 t1.tm_hour = hour;
7228 t1.tm_min = min;
7229 t1.tm_sec = sec;
7230
7231 *jsec = (double) timegm(&t1) - (double) timegm(&t0) + remain;
7232}

◆ 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 7236 of file jurassic.c.

7239 {
7240
7241 static char names[NTIMER][100], groups[NTIMER][100];
7242 static double rt_name[NTIMER], rt_group[NTIMER], rt_min[NTIMER],
7243 rt_max[NTIMER], rt_sq[NTIMER], t0, t1;
7244 static int ct_name[NTIMER], iname = -1, igroup = -1, nname, ngroup;
7245
7246 /* Get time... */
7247 t1 = omp_get_wtime();
7248 const double dt = t1 - t0;
7249
7250 /* Accumulate runtime for current timer... */
7251 if (iname >= 0) {
7252 rt_name[iname] += dt;
7253 rt_sq[iname] += POW2(dt);
7254 rt_min[iname] = (ct_name[iname] <= 0 ? dt : MIN(rt_min[iname], dt));
7255 rt_max[iname] = (ct_name[iname] <= 0 ? dt : MAX(rt_max[iname], dt));
7256 ct_name[iname]++;
7257 }
7258 if (igroup >= 0)
7259 rt_group[igroup] += dt;
7260
7261 /* Write summary... */
7262 if (output) {
7263 for (int i = 0; i < nname; i++) {
7264 const double mean = rt_name[i] / ct_name[i];
7265 const double variance = MAX(0.0, rt_sq[i] / ct_name[i] - POW2(mean));
7266 LOG(1,
7267 "TIMER_%s = %.3f s (min= %g s, mean= %g s, stddev= %g s, max= %g s, n= %d)",
7268 names[i], rt_name[i], rt_min[i], mean, sqrt(variance), rt_max[i],
7269 ct_name[i]);
7270 }
7271 for (int i = 0; i < ngroup; i++)
7272 LOG(1, "TIMER_GROUP_%s = %.3f s", groups[i], rt_group[i]);
7273 double total = 0.0;
7274 for (int i = 0; i < nname; i++)
7275 total += rt_name[i];
7276 LOG(1, "TIMER_TOTAL = %.3f s", total);
7277 }
7278
7279 /* Identify next timer name... */
7280 for (iname = 0; iname < nname; iname++)
7281 if (strcasecmp(name, names[iname]) == 0)
7282 break;
7283 for (igroup = 0; igroup < ngroup; igroup++)
7284 if (strcasecmp(group, groups[igroup]) == 0)
7285 break;
7286
7287 /* Add new timer name if needed... */
7288 if (iname >= nname) {
7289 sprintf(names[iname], "%s", name);
7290 if ((++nname) >= NTIMER)
7291 ERRMSG("Too many timers!");
7292 }
7293
7294 /* Add new timer group if needed... */
7295 if (igroup >= ngroup) {
7296 sprintf(groups[igroup], "%s", group);
7297 if ((++ngroup) >= NTIMER)
7298 ERRMSG("Too many groups!");
7299 }
7300
7301 /* Save time stamp for next phase... */
7302 t0 = t1;
7303}
#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 7307 of file jurassic.c.

7312 {
7313
7314 /* Set filename... */
7315 char file[LEN];
7316 if (dirname != NULL)
7317 sprintf(file, "%s/%s", dirname, filename);
7318 else
7319 sprintf(file, "%s", filename);
7320
7321 /* Write info... */
7322 LOG(1, "Write atmospheric data: %s", file);
7323
7324 /* Write ASCII data... */
7325 if (ctl->atmfmt == 1)
7326 write_atm_asc(file, ctl, atm);
7327
7328 /* Write binary data... */
7329 else if (ctl->atmfmt == 2)
7330 write_atm_bin(file, ctl, atm);
7331
7332 /* Write netCDF data... */
7333 else if (ctl->atmfmt == 3)
7334 write_atm_nc(file, ctl, atm, profile);
7335
7336 /* Error... */
7337 else
7338 ERRMSG("Unknown file format, check ATMFMT!");
7339
7340 /* Write info... */
7341 double mini, maxi;
7342 LOG(2, "Number of data points: %d", atm->np);
7343 gsl_stats_minmax(&mini, &maxi, atm->time, 1, (size_t) atm->np);
7344 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
7345 gsl_stats_minmax(&mini, &maxi, atm->z, 1, (size_t) atm->np);
7346 LOG(2, "Altitude range: %g ... %g km", mini, maxi);
7347 gsl_stats_minmax(&mini, &maxi, atm->lon, 1, (size_t) atm->np);
7348 LOG(2, "Longitude range: %g ... %g deg", mini, maxi);
7349 gsl_stats_minmax(&mini, &maxi, atm->lat, 1, (size_t) atm->np);
7350 LOG(2, "Latitude range: %g ... %g deg", mini, maxi);
7351 gsl_stats_minmax(&mini, &maxi, atm->p, 1, (size_t) atm->np);
7352 LOG(2, "Pressure range: %g ... %g hPa", maxi, mini);
7353 gsl_stats_minmax(&mini, &maxi, atm->t, 1, (size_t) atm->np);
7354 LOG(2, "Temperature range: %g ... %g K", mini, maxi);
7355 for (int ig = 0; ig < ctl->ng; ig++) {
7356 gsl_stats_minmax(&mini, &maxi, atm->q[ig], 1, (size_t) atm->np);
7357 LOG(2, "Emitter %s range: %g ... %g ppv", ctl->emitter[ig], mini, maxi);
7358 }
7359 for (int iw = 0; iw < ctl->nw; iw++) {
7360 gsl_stats_minmax(&mini, &maxi, atm->k[iw], 1, (size_t) atm->np);
7361 LOG(2, "Extinction range (window %d): %g ... %g km^-1", iw, mini, maxi);
7362 }
7363 if (ctl->ncl > 0) {
7364 LOG(2, "Cloud layer: z= %g km | dz= %g km | k= %g ... %g km^-1",
7365 atm->clz, atm->cldz, atm->clk[0], atm->clk[ctl->ncl - 1]);
7366 } else
7367 LOG(2, "Cloud layer: none");
7368 if (ctl->nsf > 0) {
7369 LOG(2,
7370 "Surface: T_s = %g K | eps= %g ... %g",
7371 atm->sft, atm->sfeps[0], atm->sfeps[ctl->nsf - 1]);
7372 } else
7373 LOG(2, "Surface: none");
7374}
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:7529
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:7378
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:7445
Here is the call graph for this function:

◆ 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 7378 of file jurassic.c.

7381 {
7382
7383 int n = 6;
7384
7385 /* Create file... */
7386 FILE *out;
7387 if (!(out = fopen(filename, "w")))
7388 ERRMSG("Cannot create file!");
7389
7390 /* Write header... */
7391 fprintf(out,
7392 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
7393 "# $2 = altitude [km]\n"
7394 "# $3 = longitude [deg]\n"
7395 "# $4 = latitude [deg]\n"
7396 "# $5 = pressure [hPa]\n" "# $6 = temperature [K]\n");
7397 for (int ig = 0; ig < ctl->ng; ig++)
7398 fprintf(out, "# $%d = %s volume mixing ratio [ppv]\n",
7399 ++n, ctl->emitter[ig]);
7400 for (int iw = 0; iw < ctl->nw; iw++)
7401 fprintf(out, "# $%d = extinction (window %d) [km^-1]\n", ++n, iw);
7402 if (ctl->ncl > 0) {
7403 fprintf(out, "# $%d = cloud layer height [km]\n", ++n);
7404 fprintf(out, "# $%d = cloud layer depth [km]\n", ++n);
7405 for (int icl = 0; icl < ctl->ncl; icl++)
7406 fprintf(out, "# $%d = cloud layer extinction (%.4f cm^-1) [km^-1]\n",
7407 ++n, ctl->clnu[icl]);
7408 }
7409 if (ctl->nsf > 0) {
7410 fprintf(out, "# $%d = surface temperature [K]\n", ++n);
7411 for (int isf = 0; isf < ctl->nsf; isf++)
7412 fprintf(out, "# $%d = surface emissivity (%.4f cm^-1)\n",
7413 ++n, ctl->sfnu[isf]);
7414 }
7415
7416 /* Write data... */
7417 for (int ip = 0; ip < atm->np; ip++) {
7418 if (ip == 0 || atm->time[ip] != atm->time[ip - 1])
7419 fprintf(out, "\n");
7420 fprintf(out, "%.2f %g %g %g %g %g", atm->time[ip], atm->z[ip],
7421 atm->lon[ip], atm->lat[ip], atm->p[ip], atm->t[ip]);
7422 for (int ig = 0; ig < ctl->ng; ig++)
7423 fprintf(out, " %g", atm->q[ig][ip]);
7424 for (int iw = 0; iw < ctl->nw; iw++)
7425 fprintf(out, " %g", atm->k[iw][ip]);
7426 if (ctl->ncl > 0) {
7427 fprintf(out, " %g %g", atm->clz, atm->cldz);
7428 for (int icl = 0; icl < ctl->ncl; icl++)
7429 fprintf(out, " %g", atm->clk[icl]);
7430 }
7431 if (ctl->nsf > 0) {
7432 fprintf(out, " %g", atm->sft);
7433 for (int isf = 0; isf < ctl->nsf; isf++)
7434 fprintf(out, " %g", atm->sfeps[isf]);
7435 }
7436 fprintf(out, "\n");
7437 }
7438
7439 /* Close file... */
7440 fclose(out);
7441}

◆ 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 7445 of file jurassic.c.

7448 {
7449
7450 /* Create file... */
7451 FILE *out;
7452 if (!(out = fopen(filename, "w")))
7453 ERRMSG("Cannot create file!");
7454
7455 /* Write header... */
7456 FWRITE("ATM1", char,
7457 4,
7458 out);
7459 FWRITE(&ctl->ng, int,
7460 1,
7461 out);
7462 FWRITE(&ctl->nw, int,
7463 1,
7464 out);
7465 FWRITE(&ctl->ncl, int,
7466 1,
7467 out);
7468 FWRITE(&ctl->nsf, int,
7469 1,
7470 out);
7471
7472 /* Write data... */
7473 size_t np = (size_t) atm->np;
7474 FWRITE(&np, size_t,
7475 1,
7476 out);
7477 FWRITE(atm->time, double,
7478 np,
7479 out);
7480 FWRITE(atm->z, double,
7481 np,
7482 out);
7483 FWRITE(atm->lon, double,
7484 np,
7485 out);
7486 FWRITE(atm->lat, double,
7487 np,
7488 out);
7489 FWRITE(atm->p, double,
7490 np,
7491 out);
7492 FWRITE(atm->t, double,
7493 np,
7494 out);
7495 for (int ig = 0; ig < ctl->ng; ig++)
7496 FWRITE(atm->q[ig], double,
7497 np,
7498 out);
7499 for (int iw = 0; iw < ctl->nw; iw++)
7500 FWRITE(atm->k[iw], double,
7501 np,
7502 out);
7503 if (ctl->ncl > 0) {
7504 FWRITE(&atm->clz, double,
7505 1,
7506 out);
7507 FWRITE(&atm->cldz, double,
7508 1,
7509 out);
7510 FWRITE(atm->clk, double,
7511 (size_t) ctl->ncl,
7512 out);
7513 }
7514 if (ctl->nsf > 0) {
7515 FWRITE(&atm->sft, double,
7516 1,
7517 out);
7518 FWRITE(atm->sfeps, double,
7519 (size_t) ctl->nsf,
7520 out);
7521 }
7522
7523 /* Close file... */
7524 fclose(out);
7525}
#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 7529 of file jurassic.c.

7533 {
7534
7535 char longname[LEN], varname[LEN];
7536
7537 int ncid, varid, dim_profile, dim_level;
7538
7539 size_t level_max;
7540
7541 /* Check number of levels... */
7542 if (atm->np < 1 || atm->np > NP)
7543 ERRMSG("Number of levels out of range!");
7544
7545 /* Open or create file... */
7546 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
7547 NC(nc_create(filename, NC_NETCDF4, &ncid));
7548
7549 /* Enter define mode... */
7550 int r = nc_redef(ncid);
7551 if (r != NC_NOERR && r != NC_EINDEFINE)
7552 NC(r);
7553
7554 /* Define profile dimension (unlimited)... */
7555 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
7556 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
7557
7558 /* Define level dimension (fixed)... */
7559 if (nc_inq_dimid(ncid, "level", &dim_level) == NC_NOERR) {
7560 NC(nc_inq_dimlen(ncid, dim_level, &level_max));
7561 if (level_max < 1 || level_max > (size_t) NP)
7562 ERRMSG("netCDF dimension level is out of range!");
7563 if ((size_t) atm->np > level_max)
7564 ERRMSG("profile has too many levels!");
7565 } else {
7566 level_max = (size_t) atm->np;
7567 NC(nc_def_dim(ncid, "level", level_max, &dim_level));
7568 }
7569
7570 /* Set dimension IDs... */
7571 int dimids[2] = { dim_profile, dim_level };
7572
7573 /* Tunables for compression/quantization... */
7574 const int deflate_level = 0;
7575 const int quant_digits = 0;
7576
7577 /* Define nlev (1D)... */
7578 if (nc_inq_varid(ncid, "nlev", &varid) != NC_NOERR)
7579 NC_DEF_VAR("nlev", NC_INT, 1, dimids,
7580 "number of vertical levels", "1", 0, 0);
7581
7582 /* Define core variables (2D)... */
7583 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
7584 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
7585 "time in seconds since 2000-01-01, 00:00 UTC", "s",
7586 deflate_level, 0);
7587
7588 if (nc_inq_varid(ncid, "z", &varid) != NC_NOERR)
7589 NC_DEF_VAR("z", NC_DOUBLE, 2, dimids, "altitude", "km", deflate_level, 0);
7590
7591 if (nc_inq_varid(ncid, "lon", &varid) != NC_NOERR)
7592 NC_DEF_VAR("lon", NC_DOUBLE, 2, dimids,
7593 "longitude", "degrees_east", deflate_level, 0);
7594
7595 if (nc_inq_varid(ncid, "lat", &varid) != NC_NOERR)
7596 NC_DEF_VAR("lat", NC_DOUBLE, 2, dimids,
7597 "latitude", "degrees_north", deflate_level, 0);
7598
7599 if (nc_inq_varid(ncid, "p", &varid) != NC_NOERR)
7600 NC_DEF_VAR("p", NC_DOUBLE, 2, dimids,
7601 "pressure", "hPa", deflate_level, quant_digits);
7602
7603 if (nc_inq_varid(ncid, "t", &varid) != NC_NOERR)
7604 NC_DEF_VAR("t", NC_DOUBLE, 2, dimids,
7605 "temperature", "K", deflate_level, quant_digits);
7606
7607 /* Write emitters (2D)... */
7608 for (int ig = 0; ig < ctl->ng; ig++)
7609 if (nc_inq_varid(ncid, ctl->emitter[ig], &varid) != NC_NOERR) {
7610 sprintf(longname, "%s volume mixing ratio", ctl->emitter[ig]);
7611 NC_DEF_VAR(ctl->emitter[ig], NC_DOUBLE, 2, dimids,
7612 longname, "ppv", deflate_level, quant_digits);
7613 }
7614
7615 /* Write extinction (2D)... */
7616 for (int iw = 0; iw < ctl->nw; iw++) {
7617 sprintf(varname, "ext_win_%d", iw);
7618 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7619 sprintf(longname, "extinction (window %d)", iw);
7620 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids,
7621 longname, "km**-1", deflate_level, quant_digits);
7622 }
7623 }
7624
7625 /* Write cloud variables (1D)... */
7626 if (ctl->ncl > 0) {
7627 if (nc_inq_varid(ncid, "cld_z", &varid) != NC_NOERR)
7628 NC_DEF_VAR("cld_z", NC_DOUBLE, 1, dimids,
7629 "cloud layer height", "km", deflate_level, quant_digits);
7630
7631 if (nc_inq_varid(ncid, "cld_dz", &varid) != NC_NOERR)
7632 NC_DEF_VAR("cld_dz", NC_DOUBLE, 1, dimids,
7633 "cloud layer depth", "km", deflate_level, quant_digits);
7634
7635 for (int icl = 0; icl < ctl->ncl; icl++) {
7636 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7637 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7638 sprintf(longname, "cloud layer extinction (%.4f cm^-1)",
7639 ctl->clnu[icl]);
7640 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "km**-1",
7641 deflate_level, quant_digits);
7642 }
7643 }
7644 }
7645
7646 /* Write surface variables (1D)... */
7647 if (ctl->nsf > 0) {
7648 if (nc_inq_varid(ncid, "srf_t", &varid) != NC_NOERR)
7649 NC_DEF_VAR("srf_t", NC_DOUBLE, 1, dimids,
7650 "surface temperature", "K", deflate_level, quant_digits);
7651
7652 for (int isf = 0; isf < ctl->nsf; isf++) {
7653 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7654 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
7655 sprintf(longname, "surface emissivity (%.4f cm^-1)", ctl->sfnu[isf]);
7656 NC_DEF_VAR(varname, NC_DOUBLE, 1, dimids, longname, "1",
7657 deflate_level, quant_digits);
7658 }
7659 }
7660 }
7661
7662 /* Leave define mode... */
7663 NC(nc_enddef(ncid));
7664
7665 /* Define hyperslabs... */
7666 size_t start[2] = { (size_t) profile, 0 };
7667 size_t count[2] = { 1, (size_t) atm->np };
7668
7669 /* Write nlev... */
7670 NC_PUT_INT("nlev", &atm->np, 1);
7671
7672 /* Write core variables... */
7673 NC_PUT_DOUBLE("time", atm->time, 1);
7674 NC_PUT_DOUBLE("z", atm->z, 1);
7675 NC_PUT_DOUBLE("lon", atm->lon, 1);
7676 NC_PUT_DOUBLE("lat", atm->lat, 1);
7677 NC_PUT_DOUBLE("p", atm->p, 1);
7678 NC_PUT_DOUBLE("t", atm->t, 1);
7679
7680 /* Write emitters... */
7681 for (int ig = 0; ig < ctl->ng; ig++)
7682 NC_PUT_DOUBLE(ctl->emitter[ig], atm->q[ig], 1);
7683
7684 /* Write extinction... */
7685 for (int iw = 0; iw < ctl->nw; iw++) {
7686 sprintf(varname, "ext_win_%d", iw);
7687 NC_PUT_DOUBLE(varname, atm->k[iw], 1);
7688 }
7689
7690 /* Write cloud variables... */
7691 if (ctl->ncl > 0) {
7692 NC_PUT_DOUBLE("cld_z", &atm->clz, 1);
7693 NC_PUT_DOUBLE("cld_dz", &atm->cldz, 1);
7694 for (int icl = 0; icl < ctl->ncl; icl++) {
7695 sprintf(varname, "cld_k_%.4f", ctl->clnu[icl]);
7696 NC_PUT_DOUBLE(varname, &atm->clk[icl], 1);
7697 }
7698 }
7699
7700 /* Write surface variables... */
7701 if (ctl->nsf > 0) {
7702 NC_PUT_DOUBLE("srf_t", &atm->sft, 1);
7703 for (int isf = 0; isf < ctl->nsf; isf++) {
7704 sprintf(varname, "srf_eps_%.4f", ctl->sfnu[isf]);
7705 NC_PUT_DOUBLE(varname, &atm->sfeps[isf], 1);
7706 }
7707 }
7708
7709 /* Close file... */
7710 NC(nc_sync(ncid));
7711 NC(nc_close(ncid));
7712}
#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 7716 of file jurassic.c.

7719 {
7720
7721 /* Write info... */
7722 LOG(1, "Write RFM data: %s", filename);
7723
7724 /* Create file... */
7725 FILE *out;
7726 if (!(out = fopen(filename, "w")))
7727 ERRMSG("Cannot create file!");
7728
7729 /* Write data... */
7730 fprintf(out, "%d\n", atm->np);
7731 fprintf(out, "*HGT [km]\n");
7732 for (int ip = 0; ip < atm->np; ip++)
7733 fprintf(out, "%g\n", atm->z[ip]);
7734 fprintf(out, "*PRE [mb]\n");
7735 for (int ip = 0; ip < atm->np; ip++)
7736 fprintf(out, "%g\n", atm->p[ip]);
7737 fprintf(out, "*TEM [K]\n");
7738 for (int ip = 0; ip < atm->np; ip++)
7739 fprintf(out, "%g\n", atm->t[ip]);
7740 for (int ig = 0; ig < ctl->ng; ig++) {
7741 fprintf(out, "*%s [ppmv]\n", ctl->emitter[ig]);
7742 for (int ip = 0; ip < atm->np; ip++)
7743 fprintf(out, "%g\n", atm->q[ig][ip] * 1e6);
7744 }
7745 fprintf(out, "*END\n");
7746
7747 /* Close file... */
7748 fclose(out);
7749}

◆ 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 7753 of file jurassic.c.

7763 {
7764
7765 /* Check output flag... */
7766 if (!ctl->write_matrix)
7767 return;
7768
7769 /* Write ASCII data... */
7770 if (ctl->matrixfmt == 1)
7771 write_matrix_asc(dirname, filename, ctl, matrix, atm, obs,
7772 rowspace, colspace, sort);
7773
7774 /* Write binary data... */
7775 else if (ctl->matrixfmt == 2)
7776 write_matrix_bin(dirname, filename, matrix);
7777
7778 /* Write netCDF data... */
7779 else if (ctl->matrixfmt == 3)
7780 write_matrix_nc(dirname, filename, ctl, matrix, atm, obs,
7781 rowspace, colspace, sort, dataset);
7782
7783 /* Error... */
7784 else
7785 ERRMSG("Unknown matrix file format, check MATRIXFMT!");
7786}
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:7790
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:8012
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:7963
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 7790 of file jurassic.c.

7799 {
7800
7801 char file[LEN], quantity[LEN];
7802
7803 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
7804
7805 size_t i, j, nc, nr;
7806
7807 /* Allocate... */
7808 ALLOC(cida, int,
7809 M);
7810 ALLOC(ciqa, int,
7811 N);
7812 ALLOC(cipa, int,
7813 N);
7814 ALLOC(cira, int,
7815 M);
7816 ALLOC(rida, int,
7817 M);
7818 ALLOC(riqa, int,
7819 N);
7820 ALLOC(ripa, int,
7821 N);
7822 ALLOC(rira, int,
7823 M);
7824
7825 /* Set filename... */
7826 if (dirname != NULL)
7827 sprintf(file, "%s/%s", dirname, filename);
7828 else
7829 sprintf(file, "%s", filename);
7830
7831 /* Write info... */
7832 LOG(1, "Write matrix: %s", file);
7833
7834 /* Create file... */
7835 FILE *out;
7836 if (!(out = fopen(file, "w")))
7837 ERRMSG("Cannot create file!");
7838
7839 /* Write header (row space)... */
7840 if (rowspace[0] == 'y') {
7841
7842 fprintf(out,
7843 "# $1 = Row: index (measurement space)\n"
7844 "# $2 = Row: channel wavenumber [cm^-1]\n"
7845 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7846 "# $4 = Row: view point altitude [km]\n"
7847 "# $5 = Row: view point longitude [deg]\n"
7848 "# $6 = Row: view point latitude [deg]\n");
7849
7850 /* Get number of rows... */
7851 nr = obs2y(ctl, obs, NULL, rida, rira);
7852
7853 } else {
7854
7855 fprintf(out,
7856 "# $1 = Row: index (state space)\n"
7857 "# $2 = Row: name of quantity\n"
7858 "# $3 = Row: time (seconds since 2000-01-01T00:00Z)\n"
7859 "# $4 = Row: altitude [km]\n"
7860 "# $5 = Row: longitude [deg]\n" "# $6 = Row: latitude [deg]\n");
7861
7862 /* Get number of rows... */
7863 nr = atm2x(ctl, atm, NULL, riqa, ripa);
7864 }
7865
7866 /* Write header (column space)... */
7867 if (colspace[0] == 'y') {
7868
7869 fprintf(out,
7870 "# $7 = Col: index (measurement space)\n"
7871 "# $8 = Col: channel wavenumber [cm^-1]\n"
7872 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7873 "# $10 = Col: view point altitude [km]\n"
7874 "# $11 = Col: view point longitude [deg]\n"
7875 "# $12 = Col: view point latitude [deg]\n");
7876
7877 /* Get number of columns... */
7878 nc = obs2y(ctl, obs, NULL, cida, cira);
7879
7880 } else {
7881
7882 fprintf(out,
7883 "# $7 = Col: index (state space)\n"
7884 "# $8 = Col: name of quantity\n"
7885 "# $9 = Col: time (seconds since 2000-01-01T00:00Z)\n"
7886 "# $10 = Col: altitude [km]\n"
7887 "# $11 = Col: longitude [deg]\n" "# $12 = Col: latitude [deg]\n");
7888
7889 /* Get number of columns... */
7890 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
7891 }
7892
7893 /* Write header entry... */
7894 fprintf(out, "# $13 = Matrix element\n\n");
7895
7896 /* Write matrix data... */
7897 i = j = 0;
7898 while (i < nr && j < nc) {
7899
7900 /* Write info about the row... */
7901 if (rowspace[0] == 'y')
7902 fprintf(out, "%d %.4f %.2f %g %g %g",
7903 (int) i, ctl->nu[rida[i]],
7904 obs->time[rira[i]], obs->vpz[rira[i]],
7905 obs->vplon[rira[i]], obs->vplat[rira[i]]);
7906 else {
7907 idx2name(ctl, riqa[i], quantity);
7908 fprintf(out, "%d %s %.2f %g %g %g", (int) i, quantity,
7909 atm->time[ripa[i]], atm->z[ripa[i]],
7910 atm->lon[ripa[i]], atm->lat[ripa[i]]);
7911 }
7912
7913 /* Write info about the column... */
7914 if (colspace[0] == 'y')
7915 fprintf(out, " %d %.4f %.2f %g %g %g",
7916 (int) j, ctl->nu[cida[j]],
7917 obs->time[cira[j]], obs->vpz[cira[j]],
7918 obs->vplon[cira[j]], obs->vplat[cira[j]]);
7919 else {
7920 idx2name(ctl, ciqa[j], quantity);
7921 fprintf(out, " %d %s %.2f %g %g %g", (int) j, quantity,
7922 atm->time[cipa[j]], atm->z[cipa[j]],
7923 atm->lon[cipa[j]], atm->lat[cipa[j]]);
7924 }
7925
7926 /* Write matrix entry... */
7927 fprintf(out, " %g\n", gsl_matrix_get(matrix, i, j));
7928
7929 /* Set matrix indices... */
7930 if (sort[0] == 'r') {
7931 j++;
7932 if (j >= nc) {
7933 j = 0;
7934 i++;
7935 fprintf(out, "\n");
7936 }
7937 } else {
7938 i++;
7939 if (i >= nr) {
7940 i = 0;
7941 j++;
7942 fprintf(out, "\n");
7943 }
7944 }
7945 }
7946
7947 /* Close file... */
7948 fclose(out);
7949
7950 /* Free... */
7951 free(cida);
7952 free(ciqa);
7953 free(cipa);
7954 free(cira);
7955 free(rida);
7956 free(riqa);
7957 free(ripa);
7958 free(rira);
7959}
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 7963 of file jurassic.c.

7966 {
7967
7968 char file[LEN];
7969 const size_t nr = matrix->size1;
7970 const size_t nc = matrix->size2;
7971
7972 /* Set filename... */
7973 if (dirname != NULL)
7974 sprintf(file, "%s/%s", dirname, filename);
7975 else
7976 sprintf(file, "%s", filename);
7977
7978 /* Write info... */
7979 LOG(1, "Write matrix: %s", file);
7980
7981 /* Create file... */
7982 FILE *out;
7983 if (!(out = fopen(file, "w")))
7984 ERRMSG("Cannot create file!");
7985
7986 /* Write header... */
7987 FWRITE("MAT1", char,
7988 4,
7989 out);
7990 FWRITE(&nr, size_t,
7991 1,
7992 out);
7993 FWRITE(&nc, size_t,
7994 1,
7995 out);
7996
7997 /* Write data... */
7998 for (size_t i = 0; i < nr; i++)
7999 for (size_t j = 0; j < nc; j++) {
8000 double value = gsl_matrix_get(matrix, i, j);
8001 FWRITE(&value, double,
8002 1,
8003 out);
8004 }
8005
8006 /* Close file... */
8007 fclose(out);
8008}

◆ 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 8012 of file jurassic.c.

8022 {
8023
8024 char file[LEN];
8025 char quantity[LEN];
8026 const size_t name_strlen = 100;
8027
8028 int ncid, dimid_dataset, dimid_row, dimid_col, dimid_name, varid;
8029 int *cida, *ciqa, *cipa, *cira, *rida, *riqa, *ripa, *rira;
8030
8031 size_t nr = matrix->size1, nc = matrix->size2, naux;
8032
8033 /* Allocate metadata index arrays... */
8034 ALLOC(cida, int,
8035 M);
8036 ALLOC(ciqa, int,
8037 N);
8038 ALLOC(cipa, int,
8039 N);
8040 ALLOC(cira, int,
8041 M);
8042 ALLOC(rida, int,
8043 M);
8044 ALLOC(riqa, int,
8045 N);
8046 ALLOC(ripa, int,
8047 N);
8048 ALLOC(rira, int,
8049 M);
8050
8051 /* Set filename... */
8052 if (dirname != NULL)
8053 sprintf(file, "%s/%s", dirname, filename);
8054 else
8055 sprintf(file, "%s", filename);
8056
8057 /* Write info... */
8058 LOG(1, "Write matrix: %s", file);
8059
8060 /* Open or create file... */
8061 if (nc_open(file, NC_WRITE, &ncid) != NC_NOERR)
8062 NC(nc_create(file, NC_NETCDF4, &ncid));
8063
8064 /* Enter define mode... */
8065 int r = nc_redef(ncid);
8066 if (r != NC_NOERR && r != NC_EINDEFINE)
8067 NC(r);
8068
8069 /* Define dataset dimension (unlimited)... */
8070 if (nc_inq_dimid(ncid, "dataset", &dimid_dataset) != NC_NOERR)
8071 NC(nc_def_dim(ncid, "dataset", NC_UNLIMITED, &dimid_dataset));
8072
8073 /* Define row dimension (fixed)... */
8074 if (nc_inq_dimid(ncid, "row", &dimid_row) == NC_NOERR) {
8075 NC(nc_inq_dimlen(ncid, dimid_row, &naux));
8076 if (naux != nr)
8077 ERRMSG("matrix row dimension is incompatible!");
8078 } else
8079 NC(nc_def_dim(ncid, "row", nr, &dimid_row));
8080
8081 /* Define col dimension (fixed)... */
8082 if (nc_inq_dimid(ncid, "col", &dimid_col) == NC_NOERR) {
8083 NC(nc_inq_dimlen(ncid, dimid_col, &naux));
8084 if (naux != nc)
8085 ERRMSG("matrix col dimension is incompatible!");
8086 } else
8087 NC(nc_def_dim(ncid, "col", nc, &dimid_col));
8088
8089 /* Define fixed-length name dimension... */
8090 if (nc_inq_dimid(ncid, "name_strlen", &dimid_name) == NC_NOERR) {
8091 NC(nc_inq_dimlen(ncid, dimid_name, &naux));
8092 if (naux != name_strlen)
8093 ERRMSG("matrix name_strlen dimension is incompatible!");
8094 } else
8095 NC(nc_def_dim(ncid, "name_strlen", name_strlen, &dimid_name));
8096
8097 /* Define variables... */
8098 int dimids3[3] = { dimid_dataset, dimid_row, dimid_col };
8099 int dimids1[1] = { dimid_dataset };
8100 int dimids2_row[2] = { dimid_dataset, dimid_row };
8101 int dimids2_col[2] = { dimid_dataset, dimid_col };
8102 int dimids3_rowname[3] = { dimid_dataset, dimid_row, dimid_name };
8103 int dimids3_colname[3] = { dimid_dataset, dimid_col, dimid_name };
8104 if (nc_inq_varid(ncid, "matrix", &varid) != NC_NOERR) {
8105 NC(nc_def_var(ncid, "matrix", NC_DOUBLE, 3, dimids3, &varid));
8106 NC(nc_put_att_text(ncid, varid, "long_name", 14, "matrix element"));
8107 NC(nc_put_att_text(ncid, varid, "units", 1, "1"));
8108 }
8109 if (nc_inq_varid(ncid, "rowspace", &varid) != NC_NOERR)
8110 NC_DEF_VAR("rowspace", NC_CHAR, 1, dimids1,
8111 "row space selector", "1", 0, 0);
8112 if (nc_inq_varid(ncid, "colspace", &varid) != NC_NOERR)
8113 NC_DEF_VAR("colspace", NC_CHAR, 1, dimids1,
8114 "column space selector", "1", 0, 0);
8115 if (nc_inq_varid(ncid, "sort", &varid) != NC_NOERR)
8116 NC_DEF_VAR("sort", NC_CHAR, 1, dimids1,
8117 "matrix sort selector", "1", 0, 0);
8118 if (nc_inq_varid(ncid, "row_nu", &varid) != NC_NOERR)
8119 NC_DEF_VAR("row_nu", NC_DOUBLE, 2, dimids2_row,
8120 "row channel wavenumber", "cm^-1", 0, 0);
8121 if (nc_inq_varid(ncid, "row_time", &varid) != NC_NOERR)
8122 NC_DEF_VAR("row_time", NC_DOUBLE, 2, dimids2_row,
8123 "row time since 2000-01-01T00:00Z", "s", 0, 0);
8124 if (nc_inq_varid(ncid, "row_z", &varid) != NC_NOERR)
8125 NC_DEF_VAR("row_z", NC_DOUBLE, 2, dimids2_row,
8126 "row altitude", "km", 0, 0);
8127 if (nc_inq_varid(ncid, "row_lon", &varid) != NC_NOERR)
8128 NC_DEF_VAR("row_lon", NC_DOUBLE, 2, dimids2_row,
8129 "row longitude", "degrees_east", 0, 0);
8130 if (nc_inq_varid(ncid, "row_lat", &varid) != NC_NOERR)
8131 NC_DEF_VAR("row_lat", NC_DOUBLE, 2, dimids2_row,
8132 "row latitude", "degrees_north", 0, 0);
8133 if (nc_inq_varid(ncid, "row_quantity", &varid) != NC_NOERR)
8134 NC_DEF_VAR("row_quantity", NC_CHAR, 3, dimids3_rowname,
8135 "row state quantity name", "1", 0, 0);
8136 if (nc_inq_varid(ncid, "col_nu", &varid) != NC_NOERR)
8137 NC_DEF_VAR("col_nu", NC_DOUBLE, 2, dimids2_col,
8138 "column channel wavenumber", "cm^-1", 0, 0);
8139 if (nc_inq_varid(ncid, "col_time", &varid) != NC_NOERR)
8140 NC_DEF_VAR("col_time", NC_DOUBLE, 2, dimids2_col,
8141 "column time since 2000-01-01T00:00Z", "s", 0, 0);
8142 if (nc_inq_varid(ncid, "col_z", &varid) != NC_NOERR)
8143 NC_DEF_VAR("col_z", NC_DOUBLE, 2, dimids2_col,
8144 "column altitude", "km", 0, 0);
8145 if (nc_inq_varid(ncid, "col_lon", &varid) != NC_NOERR)
8146 NC_DEF_VAR("col_lon", NC_DOUBLE, 2, dimids2_col,
8147 "column longitude", "degrees_east", 0, 0);
8148 if (nc_inq_varid(ncid, "col_lat", &varid) != NC_NOERR)
8149 NC_DEF_VAR("col_lat", NC_DOUBLE, 2, dimids2_col,
8150 "column latitude", "degrees_north", 0, 0);
8151 if (nc_inq_varid(ncid, "col_quantity", &varid) != NC_NOERR)
8152 NC_DEF_VAR("col_quantity", NC_CHAR, 3, dimids3_colname,
8153 "column state quantity name", "1", 0, 0);
8154
8155 /* Leave define mode... */
8156 NC(nc_enddef(ncid));
8157
8158 /* Write metadata... */
8159 size_t start1[1] = { (size_t) dataset };
8160 size_t count1[1] = { 1 };
8161 NC(nc_inq_varid(ncid, "rowspace", &varid));
8162 NC(nc_put_vara_text(ncid, varid, start1, count1, rowspace));
8163 NC(nc_inq_varid(ncid, "colspace", &varid));
8164 NC(nc_put_vara_text(ncid, varid, start1, count1, colspace));
8165 NC(nc_inq_varid(ncid, "sort", &varid));
8166 NC(nc_put_vara_text(ncid, varid, start1, count1, sort));
8167
8168 /* Set row and column metadata indices... */
8169 if (rowspace[0] == 'y')
8170 nr = obs2y(ctl, obs, NULL, rida, rira);
8171 else
8172 nr = atm2x(ctl, atm, NULL, riqa, ripa);
8173 if (colspace[0] == 'y')
8174 nc = obs2y(ctl, obs, NULL, cida, cira);
8175 else
8176 nc = atm2x(ctl, atm, NULL, ciqa, cipa);
8177
8178 /* Write row metadata... */
8179 for (size_t i = 0; i < nr; i++) {
8180 const double nu = rowspace[0] == 'y' ? ctl->nu[rida[i]] : GSL_NAN;
8181 const double time =
8182 rowspace[0] == 'y' ? obs->time[rira[i]] : atm->time[ripa[i]];
8183 const double z = rowspace[0] == 'y' ? obs->vpz[rira[i]] : atm->z[ripa[i]];
8184 const double lon =
8185 rowspace[0] == 'y' ? obs->vplon[rira[i]] : atm->lon[ripa[i]];
8186 const double lat =
8187 rowspace[0] == 'y' ? obs->vplat[rira[i]] : atm->lat[ripa[i]];
8188 char qbuf[LEN] = { 0 };
8189 size_t start2[2] = { (size_t) dataset, i };
8190 size_t count2[2] = { 1, 1 };
8191 size_t start3n[3] = { (size_t) dataset, i, 0 };
8192 size_t count3n[3] = { 1, 1, name_strlen };
8193
8194 if (rowspace[0] != 'y') {
8195 idx2name(ctl, riqa[i], quantity);
8196 snprintf(qbuf, LEN, "%s", quantity);
8197 }
8198
8199 NC(nc_inq_varid(ncid, "row_nu", &varid));
8200 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8201 NC(nc_inq_varid(ncid, "row_time", &varid));
8202 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8203 NC(nc_inq_varid(ncid, "row_z", &varid));
8204 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8205 NC(nc_inq_varid(ncid, "row_lon", &varid));
8206 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8207 NC(nc_inq_varid(ncid, "row_lat", &varid));
8208 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8209 NC(nc_inq_varid(ncid, "row_quantity", &varid));
8210 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8211 }
8212
8213 /* Write column metadata... */
8214 for (size_t j = 0; j < nc; j++) {
8215 const double nu = colspace[0] == 'y' ? ctl->nu[cida[j]] : GSL_NAN;
8216 const double time =
8217 colspace[0] == 'y' ? obs->time[cira[j]] : atm->time[cipa[j]];
8218 const double z = colspace[0] == 'y' ? obs->vpz[cira[j]] : atm->z[cipa[j]];
8219 const double lon =
8220 colspace[0] == 'y' ? obs->vplon[cira[j]] : atm->lon[cipa[j]];
8221 const double lat =
8222 colspace[0] == 'y' ? obs->vplat[cira[j]] : atm->lat[cipa[j]];
8223 char qbuf[LEN] = { 0 };
8224 size_t start2[2] = { (size_t) dataset, j };
8225 size_t count2[2] = { 1, 1 };
8226 size_t start3n[3] = { (size_t) dataset, j, 0 };
8227 size_t count3n[3] = { 1, 1, name_strlen };
8228
8229 if (colspace[0] != 'y') {
8230 idx2name(ctl, ciqa[j], quantity);
8231 snprintf(qbuf, LEN, "%s", quantity);
8232 }
8233
8234 NC(nc_inq_varid(ncid, "col_nu", &varid));
8235 NC(nc_put_vara_double(ncid, varid, start2, count2, &nu));
8236 NC(nc_inq_varid(ncid, "col_time", &varid));
8237 NC(nc_put_vara_double(ncid, varid, start2, count2, &time));
8238 NC(nc_inq_varid(ncid, "col_z", &varid));
8239 NC(nc_put_vara_double(ncid, varid, start2, count2, &z));
8240 NC(nc_inq_varid(ncid, "col_lon", &varid));
8241 NC(nc_put_vara_double(ncid, varid, start2, count2, &lon));
8242 NC(nc_inq_varid(ncid, "col_lat", &varid));
8243 NC(nc_put_vara_double(ncid, varid, start2, count2, &lat));
8244 NC(nc_inq_varid(ncid, "col_quantity", &varid));
8245 NC(nc_put_vara_text(ncid, varid, start3n, count3n, qbuf));
8246 }
8247
8248 /* Write matrix data... */
8249 NC(nc_inq_varid(ncid, "matrix", &varid));
8250 for (size_t i = 0; i < nr; i++)
8251 for (size_t j = 0; j < nc; j++) {
8252 const double value = gsl_matrix_get(matrix, i, j);
8253 size_t start3[3] = { (size_t) dataset, i, j };
8254 size_t count3[3] = { 1, 1, 1 };
8255 NC(nc_put_vara_double(ncid, varid, start3, count3, &value));
8256 }
8257
8258 /* Close file... */
8259 NC(nc_sync(ncid));
8260 NC(nc_close(ncid));
8261
8262 /* Free... */
8263 free(cida);
8264 free(ciqa);
8265 free(cipa);
8266 free(cira);
8267 free(rida);
8268 free(riqa);
8269 free(ripa);
8270 free(rira);
8271}
Here is the call graph for this function:

◆ 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 8275 of file jurassic.c.

8280 {
8281
8282 /* Set filename... */
8283 char file[LEN];
8284 if (dirname != NULL)
8285 sprintf(file, "%s/%s", dirname, filename);
8286 else
8287 sprintf(file, "%s", filename);
8288
8289 /* Write info... */
8290 LOG(1, "Write observation data: %s", file);
8291
8292 /* Write ASCII data... */
8293 if (ctl->obsfmt == 1)
8294 write_obs_asc(file, ctl, obs);
8295
8296 /* Write binary data... */
8297 else if (ctl->obsfmt == 2)
8298 write_obs_bin(file, ctl, obs);
8299
8300 /* Write netCDF data... */
8301 else if (ctl->obsfmt == 3)
8302 write_obs_nc(file, ctl, obs, profile);
8303
8304 /* Write info... */
8305 double mini, maxi;
8306 LOG(2, "Number of ray paths: %d", obs->nr);
8307 gsl_stats_minmax(&mini, &maxi, obs->time, 1, (size_t) obs->nr);
8308 LOG(2, "Time range: %.2f ... %.2f s", mini, maxi);
8309 gsl_stats_minmax(&mini, &maxi, obs->obsz, 1, (size_t) obs->nr);
8310 LOG(2, "Observer altitude range: %g ... %g km", mini, maxi);
8311 gsl_stats_minmax(&mini, &maxi, obs->obslon, 1, (size_t) obs->nr);
8312 LOG(2, "Observer longitude range: %g ... %g deg", mini, maxi);
8313 gsl_stats_minmax(&mini, &maxi, obs->obslat, 1, (size_t) obs->nr);
8314 LOG(2, "Observer latitude range: %g ... %g deg", mini, maxi);
8315 gsl_stats_minmax(&mini, &maxi, obs->vpz, 1, (size_t) obs->nr);
8316 LOG(2, "View point altitude range: %g ... %g km", mini, maxi);
8317 gsl_stats_minmax(&mini, &maxi, obs->vplon, 1, (size_t) obs->nr);
8318 LOG(2, "View point longitude range: %g ... %g deg", mini, maxi);
8319 gsl_stats_minmax(&mini, &maxi, obs->vplat, 1, (size_t) obs->nr);
8320 LOG(2, "View point latitude range: %g ... %g deg", mini, maxi);
8321 gsl_stats_minmax(&mini, &maxi, obs->tpz, 1, (size_t) obs->nr);
8322 LOG(2, "Tangent point altitude range: %g ... %g km", mini, maxi);
8323 gsl_stats_minmax(&mini, &maxi, obs->tplon, 1, (size_t) obs->nr);
8324 LOG(2, "Tangent point longitude range: %g ... %g deg", mini, maxi);
8325 gsl_stats_minmax(&mini, &maxi, obs->tplat, 1, (size_t) obs->nr);
8326 LOG(2, "Tangent point latitude range: %g ... %g deg", mini, maxi);
8327 for (int id = 0; id < ctl->nd; id++) {
8328 gsl_stats_minmax(&mini, &maxi, obs->rad[id], 1, (size_t) obs->nr);
8329 if (ctl->write_bbt) {
8330 LOG(2, "Brightness temperature (%.4f cm^-1) range: %g ... %g K",
8331 ctl->nu[id], mini, maxi);
8332 } else {
8333 LOG(2, "Radiance (%.4f cm^-1) range: %g ... %g W/(m^2 sr cm^-1)",
8334 ctl->nu[id], mini, maxi);
8335 }
8336 }
8337 for (int id = 0; id < ctl->nd; id++) {
8338 gsl_stats_minmax(&mini, &maxi, obs->tau[id], 1, (size_t) obs->nr);
8339 LOG(2, "Transmittance (%.4f cm^-1) range: %g ... %g",
8340 ctl->nu[id], mini, maxi);
8341 }
8342}
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:8346
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:8470
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:8402
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 8346 of file jurassic.c.

8349 {
8350
8351 int n = 10;
8352
8353 /* Create file... */
8354 FILE *out;
8355 if (!(out = fopen(filename, "w")))
8356 ERRMSG("Cannot create file!");
8357
8358 /* Write header... */
8359 fprintf(out,
8360 "# $1 = time (seconds since 2000-01-01T00:00Z)\n"
8361 "# $2 = observer altitude [km]\n"
8362 "# $3 = observer longitude [deg]\n"
8363 "# $4 = observer latitude [deg]\n"
8364 "# $5 = view point altitude [km]\n"
8365 "# $6 = view point longitude [deg]\n"
8366 "# $7 = view point latitude [deg]\n"
8367 "# $8 = tangent point altitude [km]\n"
8368 "# $9 = tangent point longitude [deg]\n"
8369 "# $10 = tangent point latitude [deg]\n");
8370 for (int id = 0; id < ctl->nd; id++)
8371 if (ctl->write_bbt)
8372 fprintf(out, "# $%d = brightness temperature (%.4f cm^-1) [K]\n",
8373 ++n, ctl->nu[id]);
8374 else
8375 fprintf(out, "# $%d = radiance (%.4f cm^-1) [W/(m^2 sr cm^-1)]\n",
8376 ++n, ctl->nu[id]);
8377 for (int id = 0; id < ctl->nd; id++)
8378 fprintf(out, "# $%d = transmittance (%.4f cm^-1) [-]\n", ++n,
8379 ctl->nu[id]);
8380
8381 /* Write data... */
8382 for (int ir = 0; ir < obs->nr; ir++) {
8383 if (ir == 0 || obs->time[ir] != obs->time[ir - 1])
8384 fprintf(out, "\n");
8385 fprintf(out, "%.2f %g %g %g %g %g %g %g %g %g", obs->time[ir],
8386 obs->obsz[ir], obs->obslon[ir], obs->obslat[ir],
8387 obs->vpz[ir], obs->vplon[ir], obs->vplat[ir],
8388 obs->tpz[ir], obs->tplon[ir], obs->tplat[ir]);
8389 for (int id = 0; id < ctl->nd; id++)
8390 fprintf(out, " %g", obs->rad[id][ir]);
8391 for (int id = 0; id < ctl->nd; id++)
8392 fprintf(out, " %g", obs->tau[id][ir]);
8393 fprintf(out, "\n");
8394 }
8395
8396 /* Close file... */
8397 fclose(out);
8398}

◆ 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 8402 of file jurassic.c.

8405 {
8406
8407 /* Create file... */
8408 FILE *out;
8409 if (!(out = fopen(filename, "w")))
8410 ERRMSG("Cannot create file!");
8411
8412 /* Write header... */
8413 FWRITE("OBS1", char,
8414 4,
8415 out);
8416 FWRITE(&ctl->nd, int,
8417 1,
8418 out);
8419
8420 /* Write data... */
8421 size_t nr = (size_t) obs->nr;
8422 FWRITE(&nr, size_t,
8423 1,
8424 out);
8425 FWRITE(obs->time, double,
8426 nr,
8427 out);
8428 FWRITE(obs->obsz, double,
8429 nr,
8430 out);
8431 FWRITE(obs->obslon, double,
8432 nr,
8433 out);
8434 FWRITE(obs->obslat, double,
8435 nr,
8436 out);
8437 FWRITE(obs->vpz, double,
8438 nr,
8439 out);
8440 FWRITE(obs->vplon, double,
8441 nr,
8442 out);
8443 FWRITE(obs->vplat, double,
8444 nr,
8445 out);
8446 FWRITE(obs->tpz, double,
8447 nr,
8448 out);
8449 FWRITE(obs->tplon, double,
8450 nr,
8451 out);
8452 FWRITE(obs->tplat, double,
8453 nr,
8454 out);
8455 for (int id = 0; id < ctl->nd; id++)
8456 FWRITE(obs->rad[id], double,
8457 nr,
8458 out);
8459 for (int id = 0; id < ctl->nd; id++)
8460 FWRITE(obs->tau[id], double,
8461 nr,
8462 out);
8463
8464 /* Close file... */
8465 fclose(out);
8466}

◆ 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 8470 of file jurassic.c.

8474 {
8475
8476 char longname[LEN], varname[LEN];
8477 const char *spec_prefix = ctl->write_bbt ? "bt" : "rad";
8478
8479 int ncid, varid, dim_profile, dim_ray;
8480
8481 size_t ray_max;
8482
8483 /* Check number of rays... */
8484 if (obs->nr < 1 || obs->nr > NR)
8485 ERRMSG("Number of ray paths out of range!");
8486
8487 /* Open or create file... */
8488 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR)
8489 NC(nc_create(filename, NC_NETCDF4, &ncid));
8490
8491 /* Enter define mode... */
8492 int r = nc_redef(ncid);
8493 if (r != NC_NOERR && r != NC_EINDEFINE)
8494 NC(r);
8495
8496 /* Define profile dimension (unlimited)... */
8497 if (nc_inq_dimid(ncid, "profile", &dim_profile) != NC_NOERR)
8498 NC(nc_def_dim(ncid, "profile", NC_UNLIMITED, &dim_profile));
8499
8500 /* Define ray dimension (fixed)... */
8501 if (nc_inq_dimid(ncid, "ray", &dim_ray) == NC_NOERR) {
8502 NC(nc_inq_dimlen(ncid, dim_ray, &ray_max));
8503 if (ray_max < 1 || ray_max > (size_t) NR)
8504 ERRMSG("netCDF dimension ray is out of range!");
8505 if ((size_t) obs->nr > ray_max)
8506 ERRMSG("profile has too many rays!");
8507 } else {
8508 ray_max = (size_t) obs->nr;
8509 NC(nc_def_dim(ncid, "ray", ray_max, &dim_ray));
8510 }
8511
8512 /* Dimension ID array... */
8513 int dimids[2] = { dim_profile, dim_ray };
8514
8515 /* Tunables for compression/quantization... */
8516 const int deflate_level = 0;
8517 const int quant_digits = 0;
8518
8519 /* Define nray (1D over profile)... */
8520 if (nc_inq_varid(ncid, "nray", &varid) != NC_NOERR)
8521 NC_DEF_VAR("nray", NC_INT, 1, dimids, "number of ray paths", "1", 0, 0);
8522
8523 /* Define geometry variables (2D over profile, ray)... */
8524 if (nc_inq_varid(ncid, "time", &varid) != NC_NOERR)
8525 NC_DEF_VAR("time", NC_DOUBLE, 2, dimids,
8526 "time in seconds since 2000-01-01, 00:00 UTC", "s",
8527 deflate_level, 0);
8528
8529 if (nc_inq_varid(ncid, "obs_z", &varid) != NC_NOERR)
8530 NC_DEF_VAR("obs_z", NC_DOUBLE, 2, dimids,
8531 "observer altitude", "km", deflate_level, 0);
8532
8533 if (nc_inq_varid(ncid, "obs_lon", &varid) != NC_NOERR)
8534 NC_DEF_VAR("obs_lon", NC_DOUBLE, 2, dimids,
8535 "observer longitude", "degrees_east", deflate_level, 0);
8536
8537 if (nc_inq_varid(ncid, "obs_lat", &varid) != NC_NOERR)
8538 NC_DEF_VAR("obs_lat", NC_DOUBLE, 2, dimids,
8539 "observer latitude", "degrees_north", deflate_level, 0);
8540
8541 if (nc_inq_varid(ncid, "vp_z", &varid) != NC_NOERR)
8542 NC_DEF_VAR("vp_z", NC_DOUBLE, 2, dimids,
8543 "view point altitude", "km", deflate_level, 0);
8544
8545 if (nc_inq_varid(ncid, "vp_lon", &varid) != NC_NOERR)
8546 NC_DEF_VAR("vp_lon", NC_DOUBLE, 2, dimids,
8547 "view point longitude", "degrees_east", deflate_level, 0);
8548
8549 if (nc_inq_varid(ncid, "vp_lat", &varid) != NC_NOERR)
8550 NC_DEF_VAR("vp_lat", NC_DOUBLE, 2, dimids,
8551 "view point latitude", "degrees_north", deflate_level, 0);
8552
8553 if (nc_inq_varid(ncid, "tp_z", &varid) != NC_NOERR)
8554 NC_DEF_VAR("tp_z", NC_DOUBLE, 2, dimids,
8555 "tangent point altitude", "km", deflate_level, 0);
8556
8557 if (nc_inq_varid(ncid, "tp_lon", &varid) != NC_NOERR)
8558 NC_DEF_VAR("tp_lon", NC_DOUBLE, 2, dimids,
8559 "tangent point longitude", "degrees_east", deflate_level, 0);
8560
8561 if (nc_inq_varid(ncid, "tp_lat", &varid) != NC_NOERR)
8562 NC_DEF_VAR("tp_lat", NC_DOUBLE, 2, dimids,
8563 "tangent point latitude", "degrees_north", deflate_level, 0);
8564
8565 /* Define radiance/transmittance per channel (2D profile,ray)... */
8566 for (int id = 0; id < ctl->nd; id++) {
8567
8568 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8569 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8570 if (ctl->write_bbt) {
8571 sprintf(longname, "brightness temperature (%.4f cm^-1)", ctl->nu[id]);
8572 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "K",
8573 deflate_level, quant_digits);
8574 } else {
8575 sprintf(longname, "radiance (%.4f cm^-1)", ctl->nu[id]);
8576 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname,
8577 "W/(m^2 sr cm^-1)", deflate_level, quant_digits);
8578 }
8579 }
8580
8581 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8582 if (nc_inq_varid(ncid, varname, &varid) != NC_NOERR) {
8583 sprintf(longname, "transmittance (%.4f cm^-1)", ctl->nu[id]);
8584 NC_DEF_VAR(varname, NC_DOUBLE, 2, dimids, longname, "1",
8585 deflate_level, quant_digits);
8586 }
8587 }
8588
8589 /* Leave define mode... */
8590 NC(nc_enddef(ncid));
8591
8592 /* Hyperslabs... */
8593 size_t start[2] = { (size_t) profile, 0 };
8594 size_t count[2] = { 1, (size_t) obs->nr };
8595
8596 /* Write nray(profile)... */
8597 int nr = obs->nr;
8598 NC(nc_inq_varid(ncid, "nray", &varid));
8599 NC(nc_put_vara_int(ncid, varid, start, count, &nr));
8600
8601 /* Write geometry... */
8602 NC(nc_inq_varid(ncid, "time", &varid));
8603 NC(nc_put_vara_double(ncid, varid, start, count, obs->time));
8604
8605 NC(nc_inq_varid(ncid, "obs_z", &varid));
8606 NC(nc_put_vara_double(ncid, varid, start, count, obs->obsz));
8607
8608 NC(nc_inq_varid(ncid, "obs_lon", &varid));
8609 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslon));
8610
8611 NC(nc_inq_varid(ncid, "obs_lat", &varid));
8612 NC(nc_put_vara_double(ncid, varid, start, count, obs->obslat));
8613
8614 NC(nc_inq_varid(ncid, "vp_z", &varid));
8615 NC(nc_put_vara_double(ncid, varid, start, count, obs->vpz));
8616
8617 NC(nc_inq_varid(ncid, "vp_lon", &varid));
8618 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplon));
8619
8620 NC(nc_inq_varid(ncid, "vp_lat", &varid));
8621 NC(nc_put_vara_double(ncid, varid, start, count, obs->vplat));
8622
8623 NC(nc_inq_varid(ncid, "tp_z", &varid));
8624 NC(nc_put_vara_double(ncid, varid, start, count, obs->tpz));
8625
8626 NC(nc_inq_varid(ncid, "tp_lon", &varid));
8627 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplon));
8628
8629 NC(nc_inq_varid(ncid, "tp_lat", &varid));
8630 NC(nc_put_vara_double(ncid, varid, start, count, obs->tplat));
8631
8632 /* Write spectral variables per channel... */
8633 for (int id = 0; id < ctl->nd; id++) {
8634 sprintf(varname, "%s_%.4f", spec_prefix, ctl->nu[id]);
8635 NC(nc_inq_varid(ncid, varname, &varid));
8636 NC(nc_put_vara_double(ncid, varid, start, count, obs->rad[id]));
8637
8638 sprintf(varname, "tau_%.4f", ctl->nu[id]);
8639 NC(nc_inq_varid(ncid, varname, &varid));
8640 NC(nc_put_vara_double(ncid, varid, start, count, obs->tau[id]));
8641 }
8642
8643 /* Close file... */
8644 NC(nc_sync(ncid));
8645 NC(nc_close(ncid));
8646}

◆ 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 8650 of file jurassic.c.

8654 {
8655
8656 /* Write info... */
8657 LOG(1, "Write shape function: %s", filename);
8658
8659 /* Create file... */
8660 FILE *out;
8661 if (!(out = fopen(filename, "w")))
8662 ERRMSG("Cannot create file!");
8663
8664 /* Write header... */
8665 fprintf(out,
8666 "# $1 = shape function x-value [-]\n"
8667 "# $2 = shape function y-value [-]\n\n");
8668
8669 /* Write data... */
8670 for (int i = 0; i < n; i++)
8671 fprintf(out, "%.10g %.10g\n", x[i], y[i]);
8672
8673 /* Close file... */
8674 fclose(out);
8675}

◆ 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 8679 of file jurassic.c.

8684 {
8685
8686 /* Get sizes... */
8687 const size_t n = s->size1;
8688
8689 /* Allocate... */
8690 atm_t *atm_aux;
8691 ALLOC(atm_aux, atm_t, 1);
8692 gsl_vector *x_aux = gsl_vector_alloc(n);
8693
8694 /* Compute standard deviation... */
8695 for (size_t i = 0; i < n; i++)
8696 gsl_vector_set(x_aux, i, sqrt(gsl_matrix_get(s, i, i)));
8697
8698 /* Write to disk... */
8699 char filename[LEN];
8700 const char *dirname;
8701 int profile;
8702 const char *shared_file = "-";
8703 copy_atm(ctl, atm_aux, atm, 1);
8704 x2atm(ctl, x_aux, atm_aux);
8705 if (strcmp(quantity, "total") == 0)
8706 shared_file = ret->shared_io_atm_err_total_file;
8707 else if (strcmp(quantity, "noise") == 0)
8708 shared_file = ret->shared_io_atm_err_noise_file;
8709 else if (strcmp(quantity, "formod") == 0)
8710 shared_file = ret->shared_io_atm_err_formod_file;
8711 sprintf(filename, "atm_err_%s.tab", quantity);
8712 const char *target =
8713 shared_io_output_target(ret, shared_file, filename, &dirname, &profile);
8714 write_atm(dirname, target, ctl, atm_aux, profile);
8715
8716 /* Free... */
8717 gsl_vector_free(x_aux);
8718}
Here is the call graph for this function:

◆ 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 8722 of file jurassic.c.

8724 {
8725
8726 /* Loop over emitters and detectors... */
8727 for (int ig = 0; ig < ctl->ng; ig++)
8728 for (int id = 0; id < ctl->nd; id++) {
8729
8730 /* Skip empty tables... */
8731 if (tbl->np[id][ig] <= 0) {
8732 WARN("Skip writing empty emissivity table: emitter=%s, nu=%.4f",
8733 ctl->emitter[ig], ctl->nu[id]);
8734 continue;
8735 }
8736
8737 /* Write ASCII look-up tables... */
8738 if (ctl->tblfmt == 1)
8739 write_tbl_asc(ctl, tbl, id, ig);
8740
8741 /* Write binary look-up tables... */
8742 else if (ctl->tblfmt == 2)
8743 write_tbl_bin(ctl, tbl, id, ig);
8744
8745 /* Write netCDF look-up tables... */
8746 else if (ctl->tblfmt == 3)
8747 write_tbl_nc(ctl, tbl, id, ig);
8748
8749 /* Write info... */
8750 TBL_LOG(tbl, id, ig);
8751 }
8752
8753 /* Write filter functions... */
8754 if (ctl->tblfmt == 1)
8755 for (int id = 0; id < ctl->nd; id++) {
8756 char filename[2 * LEN];
8757 sprintf(filename, "%s_%.4f.filt", ctl->tblbase, ctl->nu[id]);
8758 write_shape(filename, tbl->filt_nu[id], tbl->filt_f[id],
8759 tbl->filt_n[id]);
8760 }
8761}
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:8765
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:8849
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:8807
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:8650
Here is the call graph for this function:

◆ 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 8765 of file jurassic.c.

8769 {
8770
8771 /* Set filename... */
8772 char filename[2 * LEN];
8773 sprintf(filename, "%s_%.4f_%s.tab", ctl->tblbase,
8774 ctl->nu[id], ctl->emitter[ig]);
8775
8776 /* Create file... */
8777 FILE *out;
8778 if (!(out = fopen(filename, "w"))) {
8779 ERRMSG("Cannot create emissivity table: %s", filename);
8780 } else
8781 LOG(1, "Write emissivity table: %s", filename);
8782
8783 /* Write header... */
8784 fprintf(out,
8785 "# $1 = pressure [hPa]\n"
8786 "# $2 = temperature [K]\n"
8787 "# $3 = column density [molecules/cm^2]\n"
8788 "# $4 = emissivity [-]\n");
8789
8790 /* Save table file... */
8791 for (int ip = 0; ip < tbl->np[id][ig]; ip++)
8792 for (int it = 0; it < tbl->nt[id][ig][ip]; it++) {
8793 fprintf(out, "\n");
8794 for (int iu = 0; iu < tbl->nu[id][ig][ip][it]; iu++)
8795 fprintf(out, "%g %g %e %e\n",
8796 tbl->p[id][ig][ip], tbl->t[id][ig][ip][it],
8797 exp(tbl->logu[id][ig][ip][it][iu]),
8798 exp(tbl->logeps[id][ig][ip][it][iu]));
8799 }
8800
8801 /* Close file... */
8802 fclose(out);
8803}

◆ 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 8807 of file jurassic.c.

8811 {
8812
8813 /* Set filename... */
8814 char filename[2 * LEN];
8815 sprintf(filename, "%s_%.4f_%s.bin",
8816 ctl->tblbase, ctl->nu[id], ctl->emitter[ig]);
8817
8818 /* Create file... */
8819 FILE *out;
8820 if (!(out = fopen(filename, "w"))) {
8821 ERRMSG("Cannot create emissivity table: %s", filename);
8822 } else
8823 LOG(1, "Write emissivity table: %s", filename);
8824
8825 /* Pack... */
8826 size_t used = 0;
8827 const size_t need = tbl_packed_size(tbl, id, ig);
8828 uint8_t *work = NULL;
8829 ALLOC(work, uint8_t, need);
8830 tbl_pack(tbl, id, ig, work, &used);
8831 if (used != need)
8832 ERRMSG("Internal error: packed size mismatch!");
8833
8834 /* Write length and packed blob... */
8835 FWRITE(&used, size_t,
8836 1,
8837 out);
8838 FWRITE(work, uint8_t, used, out);
8839
8840 /* Close file... */
8841 fclose(out);
8842
8843 /* Free... */
8844 free(work);
8845}
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:7041
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:7095
Here is the call graph for this function:

◆ 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 8849 of file jurassic.c.

8853 {
8854
8855 /* Set filename... */
8856 char filename[2 * LEN];
8857 sprintf(filename, "%s_%s.nc", ctl->tblbase, ctl->emitter[ig]);
8858
8859 /* Open or create file... */
8860 int ncid;
8861 if (nc_open(filename, NC_WRITE, &ncid) != NC_NOERR) {
8862 if (nc_create(filename, NC_NETCDF4 | NC_CLOBBER, &ncid) != NC_NOERR)
8863 ERRMSG("Cannot open or create emissivity table: %s", filename);
8864 NC_PUT_ATT_GLOBAL("format_version", "1");
8865 NC_PUT_ATT_GLOBAL("emitter", ctl->emitter[ig]);
8866 NC(nc_enddef(ncid));
8867 }
8868
8869 /* Set variable and dimension name... */
8870 char varname[LEN], dimname[LEN];
8871 sprintf(varname, "tbl_%.4f", ctl->nu[id]);
8872 sprintf(dimname, "len_%.4f", ctl->nu[id]);
8873
8874 /* Write info... */
8875 LOG(1, "Write emissivity table: %s in %s", varname, filename);
8876
8877 /* Allocate work space... */
8878 size_t used = 0;
8879 const size_t need = tbl_packed_size(tbl, id, ig);
8880 uint8_t *work = NULL;
8881 ALLOC(work, uint8_t, need);
8882
8883 /* Pack table... */
8884 tbl_pack(tbl, id, ig, work, &used);
8885 if (used != need)
8886 ERRMSG("Internal error: packed size mismatch!");
8887
8888 /* Prevent overwrite... */
8889 int tmp;
8890 if (nc_inq_varid(ncid, varname, &tmp) == NC_NOERR)
8891 ERRMSG("Table already present!");
8892
8893 /* Add dimension and variable... */
8894 int dimid, varid;
8895 NC(nc_redef(ncid));
8896 NC(nc_def_dim(ncid, dimname, used, &dimid));
8897 int dimids[1] = { dimid };
8898 NC_DEF_VAR(varname, NC_UBYTE, 1, dimids,
8899 "Packed lookup table blob", "1", 0, 0);
8900 NC(nc_enddef(ncid));
8901
8902 /* Write data... */
8903 NC(nc_put_var_uchar(ncid, varid, (const unsigned char *) work));
8904
8905 /* Free... */
8906 free(work);
8907
8908 /* Close file... */
8909 NC(nc_close(ncid));
8910}
#define NC_PUT_ATT_GLOBAL(attname, text)
Add a global text attribute to a NetCDF file.
Definition: jurassic.h:895
Here is the call graph for this function:

◆ 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 8914 of file jurassic.c.

8917 {
8918
8919 size_t n = 0;
8920
8921 /* Get pressure... */
8922 for (int ip = 0; ip < atm->np; ip++)
8923 if (atm->z[ip] >= ctl->retp_zmin && atm->z[ip] <= ctl->retp_zmax)
8924 x2atm_help(&atm->p[ip], x, &n);
8925
8926 /* Get temperature... */
8927 for (int ip = 0; ip < atm->np; ip++)
8928 if (atm->z[ip] >= ctl->rett_zmin && atm->z[ip] <= ctl->rett_zmax)
8929 x2atm_help(&atm->t[ip], x, &n);
8930
8931 /* Get volume mixing ratio... */
8932 for (int ig = 0; ig < ctl->ng; ig++)
8933 for (int ip = 0; ip < atm->np; ip++)
8934 if (atm->z[ip] >= ctl->retq_zmin[ig]
8935 && atm->z[ip] <= ctl->retq_zmax[ig])
8936 x2atm_help(&atm->q[ig][ip], x, &n);
8937
8938 /* Get extinction... */
8939 for (int iw = 0; iw < ctl->nw; iw++)
8940 for (int ip = 0; ip < atm->np; ip++)
8941 if (atm->z[ip] >= ctl->retk_zmin[iw]
8942 && atm->z[ip] <= ctl->retk_zmax[iw])
8943 x2atm_help(&atm->k[iw][ip], x, &n);
8944
8945 /* Get cloud data... */
8946 if (ctl->ret_clz)
8947 x2atm_help(&atm->clz, x, &n);
8948 if (ctl->ret_cldz)
8949 x2atm_help(&atm->cldz, x, &n);
8950 if (ctl->ret_clk)
8951 for (int icl = 0; icl < ctl->ncl; icl++)
8952 x2atm_help(&atm->clk[icl], x, &n);
8953
8954 /* Get surface data... */
8955 if (ctl->ret_sft)
8956 x2atm_help(&atm->sft, x, &n);
8957 if (ctl->ret_sfeps)
8958 for (int isf = 0; isf < ctl->nsf; isf++)
8959 x2atm_help(&atm->sfeps[isf], x, &n);
8960}
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:8964
Here is the call graph for this function:

◆ 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 8964 of file jurassic.c.

8967 {
8968
8969 /* Get state vector element... */
8970 *value = gsl_vector_get(x, *n);
8971 (*n)++;
8972}

◆ 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 8976 of file jurassic.c.

8979 {
8980
8981 size_t m = 0;
8982
8983 /* Decompose measurement vector... */
8984 for (int ir = 0; ir < obs->nr; ir++)
8985 for (int id = 0; id < ctl->nd; id++)
8986 if (isfinite(obs->rad[id][ir])) {
8987 obs->rad[id][ir] = gsl_vector_get(y, m);
8988 m++;
8989 }
8990}