#include <grass/config.h>
#include <stdio.h>
#include <grass/gis.h>
#include <grass/raster.h>
#include <grass/vector.h>
#include <grass/bitmap.h>
#include <grass/dataquad.h>
#include <grass/qtree.h>
#include <grass/dbmi.h>

Include dependency graph for interpf.h:

Data Structures
struct	fcell_triple

struct	interp_params

Typedefs
typedef int	grid_calc_fn(struct interp_params , struct quaddata , struct BM , double, double, double , double , double , double , double , double , double , double , double , double *, off_t, double)

typedef int	matrix_create_fn(struct interp_params , struct triple , int, double *, int )

typedef int	check_points_fn(struct interp_params , struct quaddata , double , double , double, double, struct triple)

typedef int	secpar_fn(struct interp_params , int, int, int, struct BM , double , double , double , double , double , double , int, int)

typedef double	interp_fn(double, double)

typedef int	interpder_fn(double, double, double , double )

typedef int	wr_temp_fn(struct interp_params *, int, int, off_t)

Functions
double	IL_dist_square (double , double , int)

double	IL_crst (double, double)

int	IL_crstg (double, double, double , double )

void	IL_init_params_2d (struct interp_params , FILE , int, int, double, int, int, char , int, int, DCELL , DCELL , DCELL , DCELL , DCELL , DCELL , double, int, int, int, int, double, char , char , char , char , char , char , double, double, double, int, double, double, FILE , FILE , FILE , FILE , FILE , FILE , FILE , struct TimeStamp , int, const char )

void	IL_init_func_2d (struct interp_params , grid_calc_fn , matrix_create_fn , check_points_fn , secpar_fn , interp_fn , interpder_fn , wr_temp_fn )

int	IL_input_data_2d (struct interp_params , struct tree_info , double , double , double , double , double , double , int *)

struct BM *	IL_create_bitmask (struct interp_params *)

int	translate_quad (struct multtree *, double, double, double, int)

int	IL_grid_calc_2d (struct interp_params , struct quaddata , struct BM , double, double, double , double , double , double , double , double , double , double , double , double *, off_t, double)

int	IL_matrix_create (struct interp_params , struct triple , int, double *, int )

int	IL_matrix_create_alloc (struct interp_params , struct triple , int, double *, int , double *)
	Creates system of linear equations from interpolated points. More...

int	min1 (int, int)

int	max1 (int, int)

double	amax1 (double, double)

double	amin1 (double, double)

int	IL_interp_segments_new_2d (struct interp_params , struct tree_info , struct multtree , struct BM , double, double, double , double , double , double , double , double , double , double , double *, int, int, double)

int	IL_output_2d (struct interp_params , struct Cell_head , double, double, double, double, double, double, double, double, double, double, double, char *, double, int, int, int)

int	IL_check_at_points_2d (struct interp_params , struct quaddata , double , double , double, double, struct triple)

int	IL_resample_output_2d (struct interp_params , double, double, double, double, double, double, double, double, double, double, double, char , double , struct Cell_head , struct Cell_head , char , int)

int	IL_resample_interp_segments_2d (struct interp_params , struct BM , double, double, double , double , double , double , double , double , double , double , double , off_t, double , int, int, int, int, int, double, double, double, double, int)

int	IL_secpar_loop_2d (struct interp_params , int, int, int, struct BM , double , double , double , double , double , double , int, int)

double	smallest_segment (struct multtree *, int)

int	IL_interp_segments_2d (struct interp_params , struct tree_info , struct multtree , struct BM , double, double, double , double , double , double , double , double , double , double , double *, int, off_t, double)

int	IL_interp_segments_2d_parallel (struct interp_params , struct tree_info , struct multtree , struct BM , double, double, double , double , double , double , double , double , double , double , double *, int, off_t, double, int)

int	IL_vector_input_data_2d (struct interp_params , struct Map_info , int, char , char , struct tree_info , double , double , double , double , double , double , int , double *)

int	process_point (double, double, double, double, struct tree_info , double, double , double , double , double , double , double , int , int , int )

int	IL_write_temp_2d (struct interp_params *, int, int, off_t)

Variables
struct line_pnts *	Pnts

struct line_cats *	Cats2

dbDriver *	driver2

dbString	sql2

struct Map_info	Map2

struct field_info *	ff

int	count

Typedef Documentation

◆ check_points_fn

typedef int check_points_fn(struct interp_params *, struct quaddata *, double *, double *, double, double, struct triple)

Definition at line 53 of file interpf.h.

◆ grid_calc_fn

typedef int grid_calc_fn(struct interp_params *, struct quaddata *, struct BM *, double, double, double *, double *, double *, double *, double *, double *, double *, double *, double *, double *, off_t, double)

Definition at line 44 of file interpf.h.

◆ interp_fn

typedef double interp_fn(double, double)

Definition at line 62 of file interpf.h.

◆ interpder_fn

typedef int interpder_fn(double, double, double *, double *)

Definition at line 64 of file interpf.h.

◆ matrix_create_fn

typedef int matrix_create_fn(struct interp_params *, struct triple *, int, double **, int *)

Definition at line 50 of file interpf.h.

◆ secpar_fn

typedef int secpar_fn(struct interp_params *, int, int, int, struct BM *, double *, double *, double *, double *, double *, double *, int, int)

Definition at line 57 of file interpf.h.

◆ wr_temp_fn

typedef int wr_temp_fn(struct interp_params *, int, int, off_t)

Definition at line 66 of file interpf.h.

Function Documentation

◆ amax1()

double amax1	(	double	,
		double
	)

Definition at line 54 of file minmax.c.

Referenced by IL_secpar_loop_2d().

◆ amin1()

double amin1	(	double	,
		double
	)

Definition at line 67 of file minmax.c.

Referenced by IL_secpar_loop_2d().

◆ IL_check_at_points_2d()

int IL_check_at_points_2d	(	struct interp_params *	params,
		struct quaddata *	data,
		double *	b,
		double *	ertot,
		double	zmin,
		double	dnorm,
		struct triple	skip_point
	)

Checks if interpolating function interp() evaluates correct z-values at given points. If smoothing is used calculate the maximum error caused by smoothing.

ertot is a RMS deviation of the interpolated surface.

Todo:: Alternative description: ...calculate the maximum and RMS deviation caused by smoothing.

Parameters

data	current region
b	solution of linear equations
ertot	total error
zmin	min z-value

Definition at line 53 of file point2d.c.

◆ IL_create_bitmask()

struct BM* IL_create_bitmask ( struct interp_params * params )

Creates a bitmap mask from given raster map

Creates a bitmap mask from maskmap raster file and/or current MASK if present and returns a pointer to the bitmask. If no mask is in force returns NULL.

Definition at line 40 of file input2d.c.

References _, BM_create(), BM_set(), G_fatal_error(), G_find_raster2(), G_message(), interp_params::maskmap, interp_params::nsizc, interp_params::nsizr, NULL, Rast_allocate_c_buf(), Rast_close(), Rast_get_c_row(), Rast_is_c_null_value, Rast_maskfd(), and Rast_open_old().

◆ IL_crst()

double IL_crst	(	double	r,
		double	fi
	)

Radial basis function

Radial basis function - completely regularized spline with tension (d=2)

Parameters

r	distance squared
fi	tension

Definition at line 48 of file func2d.c.

◆ IL_crstg()

int IL_crstg	(	double	r,
		double	fi,
		double *	gd1,
		double *	gd2
	)

Function for calculating derivatives (d=2)

Derivatives of radial basis function - regularized spline with tension(d=2)

Parameters

r	distance squared
fi	tension
gd1	G1(r)
gd2	G2(r)

Definition at line 106 of file func2d.c.

References r, and x.

◆ IL_dist_square()

double IL_dist_square	(	double *	,
		double *	,
		int
	)

Definition at line 19 of file rst/interp_float/distance.c.

◆ IL_grid_calc_2d()

int IL_grid_calc_2d	(	struct interp_params *	params,
		struct quaddata *	data,
		struct BM *	bitmask,
		double	zmin,
		double	zmax,
		double *	zminac,
		double *	zmaxac,
		double *	gmin,
		double *	gmax,
		double *	c1min,
		double *	c1max,
		double *	c2min,
		double *	c2max,
		double *	ertot,
		double *	b,
		off_t	offset1,
		double	dnorm
	)

Calculates grid values for a given segment

Calculates grid for the given segment represented by data (contains n_rows, n_cols, ew_res,ns_res, and all points inside + overlap) using solutions of system of linear equations and interpolating functions interp() and interpder(). Also calls secpar() to compute slope, aspect and curvatures if required.

ertot can be also called RMS deviation of the interpolated surface

Parameters

data	given segment
bitmask	bitmask
zmax	min and max input z-values
zmaxac	min and max interp. z-values
gmax	min and max interp. slope val.
c1max	min and max interp. curv. val.
c2max	min and max interp. curv. val.
ertot	total interpolating func. error
b	solutions of linear equations
offset1	offset for temp file writing

Definition at line 65 of file interp2d.c.

◆ IL_init_func_2d()

void IL_init_func_2d	(	struct interp_params *	params,
		grid_calc_fn *	grid_f,
		matrix_create_fn *	matr_f,
		check_points_fn *	point_f,
		secpar_fn *	secp_f,
		interp_fn *	interp_f,
		interpder_fn *	interpder_f,
		wr_temp_fn *	temp_f
	)

Initializes functions used by the library

Parameters

grid_f	calculates grid for given segment
matr_f	creates matrix for a given segment
point_f	checks interpolation function at points
secp_f	calculates aspect, slope, curvature
interp_f	radial basis function
interpder_f	derivatives of radial basis function
temp_f	writes temp files

Definition at line 109 of file init2d.c.

References interp_params::check_points, interp_params::grid_calc, interp_params::interp, interp_params::interpder, interp_params::matrix_create, interp_params::secpar, and interp_params::wr_temp.

◆ IL_init_params_2d()

void IL_init_params_2d	(	struct interp_params *	params,
		FILE *	inp,
		int	elatt,
		int	smatt,
		double	zm,
		int	k1,
		int	k2,
		char *	msk,
		int	rows,
		int	cols,
		DCELL *	ar1,
		DCELL *	ar2,
		DCELL *	ar3,
		DCELL *	ar4,
		DCELL *	ar5,
		DCELL *	ar6,
		double	tension,
		int	k3,
		int	sc1,
		int	sc2,
		int	sc3,
		double	sm,
		char *	f1,
		char *	f2,
		char *	f3,
		char *	f4,
		char *	f5,
		char *	f6,
		double	dm,
		double	x_or,
		double	y_or,
		int	der,
		double	tet,
		double	scl,
		FILE *	t1,
		FILE *	t2,
		FILE *	t3,
		FILE *	t4,
		FILE *	t5,
		FILE *	t6,
		FILE *	dev,
		struct TimeStamp *	ts,
		int	c,
		const char *	wheresql
	)

Initializes parameters used by the library

Parameters

inp	input stream
elatt	which fp att in sites file? 1 = first
smatt	which fp att in sites file to use for smoothing? (if zero use sm) 1 = first
zm	multiplier for z-values
k1	min number of points per segment for interpolation
k2	max number of points per segment
msk	name of mask
cols	number of rows and columns
ar6	arrays for interpolated values (ar1-ar6)
tension	tension
k3	max number of points for interpolation
sc3	multipliers for interpolation values
sm	smoothing
f6	output files (f1-f6)
dm	min distance between points
x_or	x of origin
y_or	y of origin
der	1 if compute partial derivatives
tet	anisotropy angle (0 is East, counter-clockwise)
scl	anisotropy scaling factor
t6	temp files for writing interp. values (t1-t6)
dev	pointer to deviations file
c	cross validation
wheresql	SQL WHERE statement

Definition at line 31 of file init2d.c.

◆ IL_input_data_2d()

int IL_input_data_2d	(	struct interp_params *	,
		struct tree_info *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		int *
	)

◆ IL_interp_segments_2d()

int IL_interp_segments_2d	(	struct interp_params *	params,
		struct tree_info *	info,
		struct multtree *	tree,
		struct BM *	bitmask,
		double	zmin,
		double	zmax,
		double *	zminac,
		double *	zmaxac,
		double *	gmin,
		double *	gmax,
		double *	c1min,
		double *	c1max,
		double *	c2min,
		double *	c2max,
		double *	ertot,
		int	totsegm,
		off_t	offset1,
		double	dnorm
	)

Interpolate recursively a tree of segments

Recursively processes each segment in a tree by:

finding points from neighbouring segments so that the total number of points is between KMIN and KMAX2 by calling tree function MT_get_region().
creating and solving the system of linear equations using these points and interp() by calling matrix_create() and G_ludcmp().
checking the interpolating function values at points by calling check_points().
computing grid for this segment using points and interp() by calling grid_calc().

Todo:: Isn't this in fact the updated version of the function (IL_interp_segments_new_2d)? The function IL_interp_segments_new_2d has the following, better behavior: The difference between this function and IL_interp_segments_2d() is making sure that additional points are taken from all directions, i.e. it finds equal number of points from neighboring segments in each of 8 neighborhoods.

Parameters

info	info for the quad tree
tree	current leaf of the quad tree
bitmask	bitmask
zmax	min and max input z-values
zmaxac	min and max interp. z-values
gmax	min and max inperp. slope val.
c1max	min and max interp. curv. val.
c2max	min and max interp. curv. val.
ertot	total interplating func. error
totsegm	total number of segments
offset1	offset for temp file writing

Definition at line 47 of file segmen2d.c.

◆ IL_interp_segments_2d_parallel()

int IL_interp_segments_2d_parallel	(	struct interp_params *	params,
		struct tree_info *	info,
		struct multtree *	tree,
		struct BM *	bitmask,
		double	zmin,
		double	zmax,
		double *	zminac,
		double *	zmaxac,
		double *	gmin,
		double *	gmax,
		double *	c1min,
		double *	c1max,
		double *	c2min,
		double *	c2max,
		double *	ertot,
		int	totsegm,
		off_t	offset1,
		double	dnorm,
		int	threads
	)

See documentation for IL_interp_segments_2d. This is a parallel processing implementation.

Parameters

info	info for the quad tree
tree	current leaf of the quad tree
bitmask	bitmask
zmax	min and max input z-values
zmaxac	min and max interp. z-values
gmax	min and max inperp. slope val.
c1max	min and max interp. curv. val.
c2max	min and max interp. curv. val.
ertot	total interplating func. error
totsegm	total number of segments
offset1	offset for temp file writing

Definition at line 38 of file segmen2d_parallel.c.

References b, and NULL.

◆ IL_interp_segments_new_2d()

int IL_interp_segments_new_2d	(	struct interp_params *	,
		struct tree_info *	,
		struct multtree *	,
		struct BM *	,
		double	,
		double	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		int	,
		int	,
		double
	)

◆ IL_matrix_create()

int IL_matrix_create	(	struct interp_params *	params,
		struct triple *	points,
		int	n_points,
		double **	matrix,
		int *	indx
	)

Author: Lubos Mitas (original program and various modifications); H. Mitasova, I. Kosinovsky, D. Gerdes, D. McCauley (GRASS4.1 version of the program and GRASS4.2 modifications); L. Mitas, H. Mitasova, I. Kosinovsky, D.Gerdes, D. McCauley (1993, 1995); modified by McCauley in August 1995; modified by Mitasova in August 1995, Nov. 1996

Copyright: (C) 1993-1996 by Lubos Mitas and the GRASS Development Team; This program is free software under the GNU General Public License (>=v2). Read the file COPYING that comes with GRASS for details.

Definition at line 39 of file matrix.c.

◆ IL_matrix_create_alloc()

int IL_matrix_create_alloc	(	struct interp_params *	params,
		struct triple *	points,
		int	n_points,
		double **	matrix,
		int *	indx,
		double *	A
	)

Creates system of linear equations from interpolated points.

Creates system of linear equations represented by matrix using given points and interpolating function interp()

Parameters

	params	struct interp_params *
	points	points for interpolation as struct triple
	n_points	number of points
[out]	matrix	the matrix
	indx

Returns: -1 on failure, 1 on success

Definition at line 72 of file matrix.c.

◆ IL_output_2d()

int IL_output_2d	(	struct interp_params *	params,
		struct Cell_head *	cellhd,
		double	zmin,
		double	zmax,
		double	zminac,
		double	zmaxac,
		double	c1min,
		double	c1max,
		double	c2min,
		double	c2max,
		double	gmin,
		double	gmax,
		double	ertot,
		char *	input,
		double	dnorm,
		int	dtens,
		int	vect,
		int	n_points
	)

Creates output files as well as history files and color tables for them.

ertot can be also called RMS deviation of the interpolated surface.

Parameters

cellhd	current region
zmax	min,max input z-values
c1max	min,max interpolated values
ertot	total interpolating func. error
input	input file name
dnorm	normalization factor

Definition at line 59 of file output2d.c.

◆ IL_resample_interp_segments_2d()

int IL_resample_interp_segments_2d	(	struct interp_params *	,
		struct BM *	,
		double	,
		double	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		off_t	,
		double *	,
		int	,
		int	,
		int	,
		int	,
		int	,
		double	,
		double	,
		double	,
		double	,
		int
	)

Definition at line 35 of file ressegm2d.c.

References l.

◆ IL_resample_output_2d()

int IL_resample_output_2d	(	struct interp_params *	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		char *	,
		double *	,
		struct Cell_head *	,
		struct Cell_head *	,
		char *	,
		int
	)

Definition at line 45 of file resout2d.c.

◆ IL_secpar_loop_2d()

int IL_secpar_loop_2d	(	struct interp_params *	params,
		int	ngstc,
		int	nszc,
		int	k,
		struct BM *	bitmask,
		double *	gmin,
		double *	gmax,
		double *	c1min,
		double *	c1max,
		double *	c2min,
		double *	c2max,
		int	cond1,
		int	cond2
	)

Compute slope aspect and curvatures

Computes slope, aspect and curvatures (depending on cond1, cond2) for derivative arrays adx,...,adxy between columns ngstc and nszc.

Parameters

ngstc	starting column
nszc	ending column
k	current row
c2max	min,max interp. values
cond2	determine if particular values need to be computed

Definition at line 39 of file secpar2d.c.

References interp_params::adx, interp_params::adxx, interp_params::adxy, interp_params::ady, interp_params::adyy, amax1(), amin1(), BM_get(), M_R2D, and NULL.

◆ IL_vector_input_data_2d()

int IL_vector_input_data_2d	(	struct interp_params *	params,
		struct Map_info *	Map,
		int	field,
		char *	zcol,
		char *	scol,
		struct tree_info *	info,
		double *	xmin,
		double *	xmax,
		double *	ymin,
		double *	ymax,
		double *	zmin,
		double *	zmax,
		int *	n_points,
		double *	dmax
	)

Insert into a quad tree

Inserts input data inside the region into a quad tree. Also translates data. Returns number of segments in the quad tree.

As z values may be used (in Map):

z coordinates in 3D file -> field = 0
categories -> field > 0, zcol = NULL
attributes -> field > 0, zcol != NULL

Parameters

params	interpolation parameters
Map	input vector map
field	category field number
zcol	name of the column containing z values
scol	name of the column containing smooth values
info	quadtree info
n_points	number of points used for interpolation
dmax	max distance between points

Definition at line 51 of file vinput2d.c.

◆ IL_write_temp_2d()

int IL_write_temp_2d	(	struct interp_params *	params,
		int	ngstc,
		int	nszc,
		off_t	offset2
	)

Writes az,adx,...,adxy into appropriate place (depending on ngstc, nszc and offset) in corresponding temp file

Parameters

ngstc	begin. column
nszc	end. column
offset2	offset

Definition at line 36 of file write2d.c.

References _, interp_params::adx, interp_params::adxx, interp_params::adxy, interp_params::ady, interp_params::adyy, interp_params::az, interp_params::deriv, G_fatal_error(), G_fseek(), G_malloc, interp_params::nsizc, NULL, interp_params::scik1, interp_params::scik2, interp_params::scik3, interp_params::Tmp_fd_dx, interp_params::Tmp_fd_dy, interp_params::Tmp_fd_xx, interp_params::Tmp_fd_xy, interp_params::Tmp_fd_yy, and interp_params::Tmp_fd_z.

◆ max1()

int max1	(	int	,
		int
	)

Definition at line 32 of file minmax.c.

◆ min1()

int min1	(	int	,
		int
	)

Definition at line 18 of file minmax.c.

◆ process_point()

int process_point	(	double	,
		double	,
		double	,
		double	,
		struct tree_info *	,
		double	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		double *	,
		int *	,
		int *	,
		int *
	)

Definition at line 306 of file vinput2d.c.

◆ smallest_segment()

double smallest_segment	(	struct multtree *	,
		int
	)

Definition at line 346 of file segmen2d.c.

References multtree::data, multtree::leafs, NULL, and quaddata::xmax.

◆ translate_quad()

int translate_quad	(	struct multtree *	,
		double	,
		double	,
		double	,
		int
	)

Definition at line 92 of file input2d.c.

References multtree::data, multtree::leafs, quaddata::n_points, NULL, quaddata::points, translate_quad(), x, quaddata::x_orig, quaddata::xmax, quaddata::y_orig, and quaddata::ymax.

Referenced by translate_quad().

Variable Documentation

◆ Cats2

struct line_cats* Cats2

◆ count

int count

Referenced by BM_create_sparse(), c_ave(), c_count(), c_divr(), c_intr(), c_kurt(), c_skew(), c_sum(), c_var(), db__recv_double_array(), db__recv_float_array(), db__recv_index_array(), db__recv_int_array(), db__recv_short_array(), db__send_index_array(), db_alloc_dirent_array(), db_alloc_handle_array(), db_alloc_index_array(), db_d_append_error(), db_d_list_indexes(), db_d_list_tables(), db_dirent(), db_drop_token(), db_find_token(), db_free_dirent_array(), db_free_handle_array(), db_free_index_array(), db_new_token(), db_table_exists(), G__read_Cell_head(), G__set_flags_from_01_random(), G_asprintf(), G_list(), G_math_f_asum_norm(), G_rasprintf(), G_snprintf(), G_str_to_sql(), G_switch_search_path(), G_vasprintf(), GPJ_get_default_datum_params_by_name(), I_SigSetNClasses(), mm_register_init::mm_register_init(), N_assemble_les_2d_param(), N_assemble_les_3d_param(), N_les_integrate_dirichlet_2d(), N_les_integrate_dirichlet_3d(), N_write_array_2d_to_rast(), N_write_array_3d_to_rast3d(), NetA_betweenness_closeness(), NetA_init_distinct(), Rast__convert_01_flags(), Rast__convert_flags_01(), Rast_add_histogram(), Rast_extend_histogram(), Rast_histogram_eq(), Rast_make_histogram_cs(), Rast_read_histogram(), Rast_read_range(), Rast_read_rstats(), Rast_row_repeat_nomask(), Rast_set_histogram(), Rast_write_histogram_cs(), Rast_write_rstats(), w_ave(), w_count(), w_kurt(), w_skew(), w_sum(), w_var(), and mm_register_init::~mm_register_init().

◆ driver2

dbDriver* driver2

◆ ff

struct field_info* ff

◆ Map2

struct Map_info Map2

◆ Pnts

struct line_pnts* Pnts

◆ sql2

dbString sql2

Data Structures

Typedefs

Functions

Variables

Typedef Documentation

◆ check_points_fn

◆ grid_calc_fn

◆ interp_fn

◆ interpder_fn

◆ matrix_create_fn

◆ secpar_fn

◆ wr_temp_fn

Function Documentation

◆ amax1()

◆ amin1()

◆ IL_check_at_points_2d()

◆ IL_create_bitmask()

◆ IL_crst()

◆ IL_crstg()

◆ IL_dist_square()

◆ IL_grid_calc_2d()

◆ IL_init_func_2d()

◆ IL_init_params_2d()

◆ IL_input_data_2d()

◆ IL_interp_segments_2d()

◆ IL_interp_segments_2d_parallel()

◆ IL_interp_segments_new_2d()

◆ IL_matrix_create()

◆ IL_matrix_create_alloc()

◆ IL_output_2d()

◆ IL_resample_interp_segments_2d()

◆ IL_resample_output_2d()

◆ IL_secpar_loop_2d()

◆ IL_vector_input_data_2d()

◆ IL_write_temp_2d()

◆ max1()

◆ min1()

◆ process_point()

◆ smallest_segment()

◆ translate_quad()

Variable Documentation

◆ Cats2

◆ count

◆ driver2

◆ ff

◆ Map2

◆ Pnts

◆ sql2