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* $Id: gmt_project.h 19521 2017-12-27 22:38:24Z pwessel $
*
* Copyright (c) 1991-2018 by P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis and F. Wobbe
* See LICENSE.TXT file for copying and redistribution conditions.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation; version 3 or any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* Contact info: gmt.soest.hawaii.edu
*--------------------------------------------------------------------*/
/*
* Include file for programs that use the map-projections functions. Note
* that most programs will include this by including gmt_dev.h
*
* Author: Paul Wessel
* Date: 1-JAN-2010
* Version: 5 API
*
*/
/*!
* \file gmt_project.h
* \brief Include file for programs that use the map-projections functions.
*/
#ifndef _GMT_PROJECT_H
#define _GMT_PROJECT_H
#define HALF_DBL_MAX (DBL_MAX/2.0)
/*! GMT_180 is used to see if a value really is exceeding it (beyond roundoff) */
#define GMT_180 (180.0 + GMT_CONV8_LIMIT)
/*! gmt_M_wind_lon will remove central meridian value and adjust so lon fits between -180/+180 */
#define gmt_M_wind_lon(C,lon) {lon -= C->current.proj.central_meridian; while (lon < -GMT_180) lon += 360.0; while (lon > +GMT_180) lon -= 360.0;}
/*! Some shorthand notation for GMT specific cases */
EXTERN_MSC double gmtmap_lat_swap_quick (struct GMT_CTRL *GMT, double lat, double c[]);
#define gmt_M_latg_to_latc(C,lat) gmtmap_lat_swap_quick (C, lat, C->current.proj.lat_swap_vals.c[GMT_LATSWAP_G2C])
#define gmt_M_latg_to_lata(C,lat) gmtmap_lat_swap_quick (C, lat, C->current.proj.lat_swap_vals.c[GMT_LATSWAP_G2A])
#define gmt_M_latc_to_latg(C,lat) gmtmap_lat_swap_quick (C, lat, C->current.proj.lat_swap_vals.c[GMT_LATSWAP_C2G])
#define gmt_M_lata_to_latg(C,lat) gmtmap_lat_swap_quick (C, lat, C->current.proj.lat_swap_vals.c[GMT_LATSWAP_A2G])
/*! Macros returns true if the two coordinates are lon/lat; way should be GMT_IN or GMT_OUT */
#define gmt_M_x_is_lon(C,way) (C->current.io.col_type[way][GMT_X] == GMT_IS_LON)
#define gmt_M_y_is_lon(C,way) (C->current.io.col_type[way][GMT_Y] == GMT_IS_LON)
#define gmt_M_y_is_lat(C,way) (C->current.io.col_type[way][GMT_Y] == GMT_IS_LAT)
#define gmt_M_x_is_lat(C,way) (C->current.io.col_type[way][GMT_Y] == GMT_IS_LAT)
#define gmt_M_is_geographic(C,way) (gmt_M_x_is_lon(C,way) && gmt_M_y_is_lat(C,way))
#define GMT_N_PROJECTIONS 29 /* Total number of projections in GMT */
/* These numbers should remain flexible. Do not use them in any programming. Use only their symbolic names.
However, all the first items in each section (i.e. GMT_LINEAR, GMT_MERCATOR,...) should remain the first.
*/
#define GMT_NO_PROJ -1 /* Projection not specified (initial value) */
/*! Linear projections tagged 0-99 */
#define gmt_M_is_linear(C) (C->current.proj.projection / 100 == 0)
enum gmt_enum_annot {GMT_LINEAR = 0,
GMT_LOG10, /* These numbers are only used for GMT->current.proj.xyz_projection[3], */
GMT_POW, /* while GMT->current.proj.projection = 0 */
GMT_TIME,
GMT_ANNOT_CPT,
GMT_CUSTOM};
#define GMT_ZAXIS 50
/*! Cylindrical projections tagged 100-199 */
#define gmt_M_is_cylindrical(C) (C->current.proj.projection / 100 == 1)
enum gmt_enum_cyl {GMT_MERCATOR = 100,
GMT_CYL_EQ,
GMT_CYL_EQDIST,
GMT_CYL_STEREO,
GMT_MILLER,
GMT_TM,
GMT_UTM,
GMT_CASSINI,
GMT_OBLIQUE_MERC = 150,
GMT_OBLIQUE_MERC_POLE};
/*! Conic projections tagged 200-299 */
#define gmt_M_is_conical(C) (C->current.proj.projection / 100 == 2)
enum gmt_enum_conic {GMT_ALBERS = 200,
GMT_ECONIC,
GMT_POLYCONIC,
GMT_LAMBERT = 250};
/* Azimuthal projections tagged 300-399 */
#define gmt_M_is_azimuthal(C) (C->current.proj.projection / 100 == 3)
enum gmt_enum_azim {GMT_STEREO = 300,
GMT_LAMB_AZ_EQ,
GMT_ORTHO,
GMT_AZ_EQDIST,
GMT_GNOMONIC,
GMT_GENPER,
GMT_POLAR = 350};
/* Misc projections tagged 400-499 */
#define gmt_M_is_misc(C) (C->current.proj.projection / 100 == 4)
enum gmt_enum_misc {GMT_MOLLWEIDE = 400,
GMT_HAMMER,
GMT_SINUSOIDAL,
GMT_VANGRINTEN,
GMT_ROBINSON,
GMT_ECKERT4,
GMT_ECKERT6,
GMT_WINKEL};
/*! The various GMT measurement units */
enum gmt_enum_units {GMT_IS_METER = 0,
GMT_IS_KM,
GMT_IS_MILE,
GMT_IS_NAUTICAL_MILE,
GMT_IS_INCH,
GMT_IS_CM,
GMT_IS_PT,
GMT_IS_FOOT,
GMT_IS_SURVEY_FOOT,
GMT_N_UNITS,
GMT_IS_NOUNIT = -1};
/* gmt_M_is_rect_graticule means parallels and meridians are orthogonal, but does not imply linear spacing */
#define gmt_M_is_rect_graticule(C) (C->current.proj.projection <= GMT_MILLER)
/* gmt_M_is_nonlinear_graticule means parallels and meridians are not orthogonal or have nonlinear spacing */
#define gmt_M_is_nonlinear_graticule(C) (!(C->current.proj.projection == GMT_CYL_EQDIST || C->current.proj.projection == GMT_LINEAR) || \
C->current.proj.xyz_projection[GMT_X] == GMT_LOG10 || C->current.proj.xyz_projection[GMT_X] == GMT_POW || \
C->current.proj.xyz_projection[GMT_Y] == GMT_LOG10 || C->current.proj.xyz_projection[GMT_Y] == GMT_POW)
#define gmt_M_is_spherical(C) (C->current.setting.ref_ellipsoid[C->current.setting.proj_ellipsoid].flattening < 1.0e-10)
#define gmt_M_is_flatearth(C) (!strcmp (C->current.setting.ref_ellipsoid[C->current.setting.proj_ellipsoid].name, "FlatEarth"))
/* Return 0 for Flat Earth, 1 for Great-circles, 2 for geodesics, and 3 for loxodromes */
#define gmt_M_sph_mode(C) (gmt_M_is_flatearth (C) ? GMT_FLATEARTH : (gmt_M_is_spherical (C) ? GMT_GREATCIRCLE : (C->current.map.loxodrome ? GMT_LOXODROME : GMT_GEODESIC)))
//#define gmt_M_360_range(w,e) (doubleAlmostEqual (fabs((e) - (w)), 360.0)) /* PW: Reconsider this later perhaps but for now too tight [see issue #954] */
#define gmt_M_180_range(s,n) (doubleAlmostEqual (fabs((n) - (s)), 180.0))
#define gmt_M_360_range(w,e) (gmt_M_is_zero (fabs ((e) - (w)) - 360.0))
#define gmt_M_is_pole(y) (doubleAlmostEqual (fabs(y), 90.0))
#define gmt_M_is_Npole(y) (gmt_M_is_zero(y-90.0))
#define gmt_M_is_Spole(y) (gmt_M_is_zero(y+90.0))
#define gmt_M_is_zero(x) (fabs (x) < GMT_CONV8_LIMIT)
#ifndef D2R
#define D2R (M_PI / 180.0)
#endif
#ifndef R2D
#define R2D (180.0 / M_PI)
#endif
/* UTM offsets */
#define GMT_FALSE_EASTING 500000.0
#define GMT_FALSE_NORTHING 10000000.0
/* Number of proj4 look-ups */
#define GMT_N_PROJ4 31
/* Number of nodes in Robinson interpolation */
#define GMT_N_ROBINSON 19
struct GMT_LATSWAP_CONSTS {
double c[GMT_LATSWAP_N][4]; /* Coefficients in 4-term series */
double ra; /* Authalic radius (sphere for equal-area) */
double rm; /* Meridional radius (sphere for N-S distance) */
bool spherical; /* True if no conversions need to be done. */
};
struct GMT_THREE_D {
double view_azimuth, view_elevation;
double cos_az, sin_az, cos_el, sin_el;
double corner_x[4], corner_y[4];
double xmin, xmax, ymin, ymax;
double world_x, world_y, world_z; /* Users coordinates of fixed point */
double view_x, view_y; /* Desired projected 2-D coordinates of fixed point */
double x_off, y_off; /* Offsets to the final projected coordinates */
double sign[4]; /* Used to determine direction of tickmarks etc */
double level; /* Indicates the last level of the perspective plane (if any) */
unsigned int view_plane; /* Determines on which plane needs to be projected */
int plane; /* Indicates which last plane was plotted in perspective (-1 = none) */
unsigned int quadrant; /* quadrant we're looking from */
unsigned int z_axis; /* Which z-axis to draw. */
unsigned int face[3]; /* Tells if this facet has normal in pos direction */
bool draw[4]; /* axes to draw */
bool fixed; /* true if we want a given point to be fixed in the projection [for animations] */
bool world_given; /* true if a fixed world point was given in -E ..+glon/lat/z */
bool view_given; /* true if a fixed projected point was given in -E ..+cx0/y0 */
};
struct GMT_DATUM { /* Main parameter for a particular datum */
double a, b, f, e_squared, ep_squared;
double xyz[3];
int ellipsoid_id; /* Ellipsoid GMT ID number (or -1) */
};
struct GMT_DATUM_CONV {
bool h_given; /* true if we have incoming height data [h = 0] */
double da; /* Major semi-axis in meters */
double df; /* Flattening */
double e_squared; /* Eccentricity squared (e^2 = 2*f - f*f) */
double one_minus_f; /* 1 - f */
double dxyz[3]; /* Ellipsoids offset in meter from Earth's center of mass for x,y, and z */
struct GMT_DATUM from, to; /* The old and new datums */
};
struct GMT_PROJ4 { /* Used to assign proj4 projections from GMT projections */
char *name;
unsigned int id;
};
struct GMT_PROJ {
struct GMT_THREE_D z_project;
struct GMT_DATUM_CONV datum; /* For datum conversions */
struct GMT_PROJ4 *proj4; /* A read-only resource we allocate once and pass pointer around */
void (*fwd) (struct GMT_CTRL *, double, double, double *, double *);/* Pointers to the selected forward mapping function */
void (*inv) (struct GMT_CTRL *, double *, double *, double, double);/* Pointers to the selected inverse mapping function */
void (*fwd_x) (struct GMT_CTRL *, double, double *); /* Pointers to the selected linear x forward function */
void (*fwd_y) (struct GMT_CTRL *, double, double *); /* Pointers to the selected linear y forward function */
void (*fwd_z) (struct GMT_CTRL *, double, double *); /* Pointers to the selected linear z forward function */
void (*inv_x) (struct GMT_CTRL *, double *, double); /* Pointers to the selected linear x inverse function */
void (*inv_y) (struct GMT_CTRL *, double *, double); /* Pointers to the selected linear y inverse function */
void (*inv_z) (struct GMT_CTRL *, double *, double); /* Pointers to the selected linear z inverse function */
double pars[10]; /* Raw unprocessed map-projection parameters as passed on command line */
double z_pars[2]; /* Raw unprocessed z-projection parameters as passed on command line */
/* Common projection parameters */
int projection; /* Gives the id number for the projection used (-1 if not set) */
bool units_pr_degree; /* true if scale is given as inch (or cm)/degree. false for 1:xxxxx */
bool north_pole; /* true if projection is on northern hemisphere, false on southern */
bool edge[4]; /* true if the edge is a map boundary */
bool three_D; /* Parameters for 3-D projections */
bool JZ_set; /* true if -Jz|Z was set */
bool GMT_convert_latitudes; /* true if using spherical code with authalic/conformal latitudes */
bool inv_coordinates; /* true if -fp[unit] was given and we must first recover lon,lat during reading */
bool N_hemi; /* true if we only allow northern hemisphere oblique Mercator poles */
unsigned int n_antipoles; /* Number of antipole coordinates so far [used for -JE only] */
struct GMT_LATSWAP_CONSTS lat_swap_vals;
enum gmt_enum_units inv_coord_unit; /* Index to scale that converts input map coordinates to meter before inverting for lon,lat */
char unit_name[GMT_N_UNITS][GMT_LEN16]; /* Names of the various distance units */
double m_per_unit[GMT_N_UNITS]; /* Meters in various units. Use to scale units to meters */
double origin[3]; /* Projected values of the logical origin for the projection (x, y, z) */
double rect[4], zmin, zmax; /* Extreme projected values */
double rect_m[4]; /* Extreme projected original meter values */
double scale[3]; /* Scaling for meters to map-distance (typically inch) conversion (x, y, z) */
double i_scale[3]; /* Inverse Scaling for meters to map-distance (typically inch) conversion (x, y, z) */
double z_level; /* Level at which to draw basemap [0] */
double unit; /* Gives meters pr plot unit (0.01 or 0.0254) */
double central_meridian; /* Central meridian for projection [NaN] */
double lon0, lat0; /* Projection center [NaN/NaN if not specified in -J] */
double pole; /* +90 pr -90, depending on which pole */
double mean_radius; /* Mean radius given the PROJ_* settings */
double EQ_RAD, i_EQ_RAD; /* Current ellipsoid parameters */
double ECC, ECC2, ECC4, ECC6; /* Powers of eccentricity */
double M_PR_DEG, KM_PR_DEG; /* Current spherical approximations to convert degrees to dist */
double DIST_M_PR_DEG; /* Current spherical approximations to convert degrees to m even if -J was not set */
double DIST_KM_PR_DEG; /* Current spherical approximations to convert degrees to km even if -J was not set */
double half_ECC, i_half_ECC; /* 0.5 * ECC and 0.5 / ECC */
double one_m_ECC2, i_one_m_ECC2; /* 1.0 - ECC2 and inverse */
unsigned int gave_map_width; /* nonzero if map width (1), height (2), max dim (3) or min dim (4) is given instead of scale. 0 for 1:xxxxx */
uint64_t n_geodesic_calls; /* Number of calls for geodesics in this session */
uint64_t n_geodesic_approx; /* Number of calls for geodesics in this session that exceeded iteration limit */
double f_horizon, rho_max; /* Azimuthal horizon (deg) and in plot coordinates */
/* Linear plot parameters */
unsigned int xyz_projection[3]; /* For linear projection, 0 = linear, 1 = log10, 2 = pow */
bool xyz_pos[3]; /* true if x,y,z-axis increases in normal positive direction */
bool compute_scale[3]; /* true if axes lengths were set rather than scales */
double xyz_pow[3]; /* For GMT_POW projection */
double xyz_ipow[3];
/* Center of radii for all conic projections */
double c_x0, c_y0;
/* Lambert conformal conic parameters. */
double l_N, l_i_N, l_Nr, l_i_Nr;
double l_F, l_rF, l_i_rF;
double l_rho0;
/* Oblique Mercator Projection (Spherical version )*/
double o_sin_pole_lat, o_cos_pole_lat; /* Pole of rotation */
double o_pole_lon, o_pole_lat; /* In degrees */
double o_beta; /* lon' = beta for central_meridian (degrees) */
double o_shift; /* Projected distance between oblique equator and chosen oblique latitude */
bool o_spole; /* True if pole is in the southern hemisphere */
double o_FP[3], o_FC[3], o_IP[3], o_IC[3];
/* TM and UTM Projections */
double t_lat0;
double t_e2, t_M0;
double t_c1, t_c2, t_c3, t_c4;
double t_i1, t_i2, t_i3, t_i4, t_i5;
double t_r, t_ir; /* Short for GMT->current.proj.EQ_RAD * GMT->current.setting.proj_scale_factor and its inverse */
int utm_hemisphere; /* -1 for S, +1 for N, 0 if to be set by -R */
unsigned int utm_zonex; /* The longitude component 1-60 */
char utm_zoney; /* The latitude component A-Z */
/* Lambert Azimuthal Equal-Area Projection */
double sinp;
double cosp;
double Dx, Dy, iDx, iDy; /* Fudge factors for projections w/authalic lats */
/* Stereographic Projection */
double s_c, s_ic;
double r; /* Radius of projected sphere in plot units (inch or cm) */
bool polar; /* True if projection pole coincides with S or N pole */
/* Mollweide, Hammer-Aitoff and Winkel Projection */
double w_x, w_y, w_iy, w_r;
/* Winkel Tripel Projection */
double r_cosphi1; /* = cos (50.467) */
/* Robinson Projection */
double n_cx, n_cy; /* = = 0.8487R, 1.3523R */
double n_i_cy;
double n_phi[GMT_N_ROBINSON], n_X[GMT_N_ROBINSON], n_Y[GMT_N_ROBINSON];
double n_x_coeff[3*GMT_N_ROBINSON], n_y_coeff[3*GMT_N_ROBINSON], n_yx_coeff[3*GMT_N_ROBINSON], n_iy_coeff[3*GMT_N_ROBINSON];
/* Eckert IV Projection */
double k4_x, k4_y, k4_ix, k4_iy;
/* Eckert VI Projection */
double k6_r, k6_ir;
/* Cassini Projection */
double c_M0, c_c1, c_c2, c_c3, c_c4;
double c_i1, c_i2, c_i3, c_i4, c_i5, c_p;
/* All Cylindrical Projections */
double j_x, j_y, j_ix, j_iy;
/* Albers Equal-area conic parameters. */
double a_n, a_i_n;
double a_C, a_n2ir2, a_test, a_Cin;
double a_rho0;
/* Equidistant conic parameters. */
double d_n, d_i_n;
double d_G, d_rho0;
/* Van der Grinten parameters. */
double v_r, v_ir;
/* General Perspective parameters */
double g_H, g_R;
double g_P, g_P_inverse;
double g_lon0;
double g_sphi1, g_cphi1;
double g_phig, g_sphig, g_cphig;
double g_sdphi, g_cdphi;
double g_B, g_D, g_L, g_G, g_J;
double g_BLH, g_DG, g_BJ, g_DHJ, g_LH2, g_HJ;
double g_sin_tilt, g_cos_tilt;
double g_azimuth, g_sin_azimuth, g_cos_azimuth;
double g_sin_twist, g_cos_twist;
double g_width;
double g_yoffset;
double g_rmax;
double g_max_yt;
double g_xmin, g_xmax;
double g_ymin, g_ymax;
unsigned int g_debug;
int g_box, g_outside, g_longlat_set, g_sphere, g_radius, g_auto_twist;
bool windowed;
/* Polar (cylindrical) projection */
double p_base_angle;
bool got_azimuths, got_elevations, z_down;
};
enum GMT_enum_frame {GMT_IS_PLAIN = 0, /* Plain baseframe */
GMT_IS_INSIDE = 1, /* Plain frame ticks/annotations on the inside of boundary */
GMT_IS_GRAPH = 2, /* Plain fram with arrow extensions on axes */
GMT_IS_FANCY = 4, /* Fancy baseframe */
GMT_IS_ROUNDED = 12}; /* Fancy baseframe, rounded */
/* Define the 6 axis items that each axis can have (some are mutually exclusive: only one ANNOT/INTV for upper and lower) */
enum GMT_enum_tick {GMT_ANNOT_UPPER = 0, /* Tick annotations closest to the axis */
GMT_ANNOT_LOWER, /* Tick annotations farthest from the axis*/
GMT_TICK_UPPER, /* Frame tick marks closest to the axis */
GMT_TICK_LOWER, /* Frame tick marks closest to the axis */
GMT_GRID_UPPER, /* Gridline spacing */
GMT_GRID_LOWER}; /* Gridline spacing */
/* Some convenient macros for axis routines */
/* The array side in GMT_PLOT_FRAME follows the order south, east, north, west (CCW loop) + z.
* Ro avoid using confusing indices 0-4 we define very brief constants S_SIDE, E_SIDE, N_SIDE
* W_SIDE and Z_SIDE that should be used instead. */
#ifndef S_SIDE
#define S_SIDE 0
#endif
#ifndef E_SIDE
#define E_SIDE 1
#endif
#ifndef N_SIDE
#define N_SIDE 2
#endif
#ifndef W_SIDE
#define W_SIDE 3
#endif
#ifndef Z_SIDE
#define Z_SIDE 4
#endif
struct GMT_PLOT_AXIS_ITEM { /* Information for one type of tick/annotation */
double interval; /* Distance between ticks in user units */
unsigned int parent; /* Id of axis this item belongs to (0,1,2) */
bool active; /* true if we want to use this item */
bool generated; /* true if this is an auto-generated interval */
bool special; /* true if custom interval annotations */
unsigned int flavor; /* Index into month/day name abbreviation array (0-2) */
bool upper_case; /* true if we want upper case text (used with flavor) */
char type; /* One of a, A, i, I, f, F, g, G */
char unit; /* User's interval unit (y, M, u, d, h, m, c) */
};
struct GMT_PLOT_AXIS { /* Information for one time axis */
unsigned int id; /* 0 (x), 1(y), or 2(z) */
unsigned int type; /* GMT_LINEAR, GMT_LOG10, GMT_POW, GMT_TIME */
unsigned int special; /* See gmt_enum_annot values */
unsigned int label_mode; /* 0 = parallel to all axes, 1 = always horizontal on map */
struct GMT_PLOT_AXIS_ITEM item[6]; /* see above defines for which is which */
double phase; /* Phase offset for strides: (knot-phase)%interval = 0 */
char label[GMT_LEN256]; /* Label of the axis */
char unit[GMT_LEN64]; /* Axis unit appended to annotations */
char prefix[GMT_LEN64]; /* Axis prefix starting all annotations */
char *file_custom; /* File with custom annotations */
};
struct GMT_PLOT_FRAME { /* Various parameters for plotting of time axis boundaries */
struct GMT_PLOT_AXIS axis[3]; /* One each for x, y, and z */
char header[GMT_LEN256]; /* Plot title */
struct GMT_FILL fill; /* Fill for the basemap inside, if paint == true */
bool plotted_header; /* true if header has been plotted */
bool init; /* true if -B was used at all */
bool set; /* true if -B was used to set any increments */
bool draw; /* true if -B<int> was used, even -B0, as sign to draw axes */
bool paint; /* true if -B +g<fill> was used */
bool draw_box; /* true if a 3-D Z-box is desired */
bool no_frame; /* true if we just want gridlines but no frame, i.e +n was used */
bool check_side; /* true if lon and lat annotations should be on x and y axis only */
bool primary; /* true if current axis is primary, false if secondary */
bool set_both; /* true if -B argument applies to both x and y axes */
bool obl_grid; /* true if +o was given to draw oblique gridlines */
unsigned int set_frame[2]; /* 1 if a -B<WESNframe> setting was given */
unsigned int horizontal; /* 1 is S/N annotations should be parallel to axes, 2 if forced */
unsigned int side[5]; /* Which sides (0-3 in plane; 4 = z) to plot. 2 is annot/draw, 1 is draw, 0 is not */
unsigned int z_axis[4]; /* Which axes to use for the 3-D z-axis [auto] */
};
#endif /* _GMT_PROJECT_H */
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