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gmt_plot.c
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gmt_plot.c
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/*--------------------------------------------------------------------
*
* Copyright (c) 1991-2021 by the GMT Team (https://www.generic-mapping-tools.org/team.html)
* 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: www.generic-mapping-tools.org
*--------------------------------------------------------------------*/
/*
*
* G M T _ P L O T . C
*
*- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
* GMT_plot.c contains code related to plotting maps. These functions requires
* we pass both the GMT and PSL control structure pointers.
*
* Author: Paul Wessel
* Date: 1-JAN-2010
* Version: 5
*
* PUBLIC Functions include (39):
*
* gmt_draw_map_scale : Plot map scale
* gmt_draw_map_rose : Plot map rose
* gmt_draw_map_panel : Plot map panel
* gmt_draw_front : Draw a front line
* gmt_geo_line : Plots line in lon/lat on maps, takes care of periodicity jumps
* gmt_plot_geo_ellipse : Plots ellipse in lon/lat on maps, takes care of periodicity jumps
* gmt_geo_polygons : Plots polygon in lon/lat on maps, takes care of periodicity jumps
* gmt_geo_rectangle : Plots rectangle in lat/lon on maps, takes care of periodicity jumps
* gmt_map_basemap : Generic basemap function
* gmt_map_clip_off : Deactivate map region clip path
* gmt_map_clip_on : Activate map region clip path
* gmt_BB_clip_on : Activate Bounding Box clip path
* gmt_plane_perspective : Adds PS matrix to simulate perspective plotting
* gmt_plot_line : Plots path (in projected coordinates), takes care of boundary crossings
* gmt_vertical_axis : Draw 3-D vertical axes
* gmt_xy_axis : Draw x or y axis
* gmt_linearx_grid : Draw linear x grid lines
* gmt_setfill :
* gmt_setfont :
* gmt_draw_map_inset :
* gmt_setpen :
* gmt_draw_custom_symbol :
* gmt_add_label_record :
* gmt_contlabel_save_begin :
* gmt_contlabel_save_end :
* gmt_textpath_init :
* gmt_contlabel_plot :
* gmt_export2proj4 :
* gmt_plotinit :
* gmt_plotcanvas :
* gmt_plotend :
* gmt_geo_polarcap_segment :
* gmt_geo_vector :
* gmtlib_create_ps :
* gmtlib_free_ps_ptr :
* gmtlib_free_ps :
* gmtlib_read_ps :
* gmtlib_write_ps :
* gmtlib_duplicate_ps :
*
*/
#include "gmt_dev.h"
#include "gmt_internals.h"
#ifdef _WIN32
#include <windows.h>
#include <tlhelp32.h>
#endif
#define gmt_M_axis_is_geo_strict(C,axis) (((axis) == GMT_X && gmt_M_type (C, GMT_IN, axis) & GMT_IS_LON) || ((axis) == GMT_Y && gmt_M_type (C, GMT_IN, axis) & GMT_IS_LAT))
#define PSL_IZ(PSL,z) ((int)lrint ((z) * PSL->internal.dpu))
/* Local variables to this file */
static unsigned int GMT_n_annotations_skip[4] = {0, 0, 0, 0};
static size_t GMT_n_annotations[4] = {0, 0, 0, 0};
static size_t GMT_alloc_annotations[4] = {0, 0, 0, 0};
static double *GMT_x_annotation[4] = {NULL, NULL, NULL, NULL}, *GMT_y_annotation[4] = {NULL, NULL, NULL, NULL};
/* THese functions are public but used in a static function so declared here to avoid resorting */
void gmt_linearx_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval);
/* Get bitmapped 600 dpi GMT glyph for timestamp. The glyph is a 90 x 220 pixel 1-bit image
and it is here represented as ceil (220 / 8) * 90 = 2520 bytes */
static unsigned char GMT_glyph[2520] = {
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0f,
};
struct GMT_CIRCLE { /* Helper variables needed to draw great or small circle heads */
double lon[2], lat[2]; /* Coordinates of arc end points */
double A[3], B[3]; /* Cartesian vector of arc end points */
double P[3]; /* Cartesian vector of the pole */
bool longway; /* True if the arc > 180 degrees */
double r0; /* Arc length in degrees */
double r; /* Will be 180 less if longway is true, otherwise r == r0 */
double colat; /* Colatitude of circle relative to pole */
double rot; /* Full opening angle of vector arc */
};
/* Local functions */
/* Converting LaTeX strings to EPS files. This is based on the discussion we had at
* https://github.com/GenericMappingTools/gmt/issues/4563#issuecomment-743374160.
* As long as the user has latex, dvips and required fonts installed this should work
* for everybody. P. Wessel, Dec 11, 2020.
*/
bool gmt_text_is_latex (struct GMT_CTRL *GMT, const char *string) {
/* Detect if string contains LaTeX commands, i.e., "....@[LaTeX...@[ ..." or "....<math>LaTeX...</math> ..." */
char *p;
gmt_M_unused (GMT);
if (string == NULL || string[0] == '\0') return false;
if ((p = strstr (string, "@[")) && strstr (&p[1], "@[")) return true;
if ((p = strstr (string, "<math>")) && strstr (&p[1], "</math>")) return true;
return false;
}
GMT_LOCAL bool gmtplot_has_title_breaks (struct GMT_CTRL *GMT, const char *string) {
/* Returns true if string has line-break escape sequences in it */
gmt_M_unused (GMT);
if (string == NULL || string[0] == '\0') return false;
return ((strstr (string, "<break>") || strstr (string, "@^")) ? true : false);
}
GMT_LOCAL unsigned char * gmtplot_latex_eps (struct GMT_CTRL *GMT, struct GMT_FONT *F, const char *string, struct imageinfo *h) {
/* Convert a string containing LaTeX syntax to an EPS image */
unsigned int i, o;
int error = 0;
char *text = NULL, *tmpdir = NULL, *font, *code;
char template[PATH_MAX] = {""}, here[PATH_MAX] = {""}, file[PATH_MAX] = {""}, cmd[PATH_MAX] = {""};
unsigned char *picture = NULL;
FILE *fp = NULL;
struct GMTAPI_CTRL *API = GMT->parent;
if (gmtplot_has_title_breaks (GMT, string)) {
GMT_Report (API, GMT_MSG_ERROR, "LaTeX expressions are only allowed in single-line strings\n");
return NULL;
}
if (gmt_check_executable (GMT, "latex", "--version", NULL, NULL)) {
GMT_Report (API, GMT_MSG_DEBUG, "latex found.\n");
}
else {
GMT_Report (API, GMT_MSG_ERROR, "latex is not installed or not in your executable path - cannot process LaTeX to DVI.\n");
return NULL;
}
if (gmt_check_executable (GMT, "dvips", "--version", NULL, NULL)) {
GMT_Report (API, GMT_MSG_DEBUG, "dvips found.\n");
}
else {
GMT_Report (API, GMT_MSG_ERROR, "dvips is not installed or not in your executable path - cannot convert DVI to EPS.\n");
return NULL;
}
/* Create unique directory for outputs, stored in tmpdir */
snprintf (template, PATH_MAX, "%s/gmt_latex_XXXXXX", API->tmp_dir); /* The XXXXXX will be replaced by mktemp */
if ((tmpdir = mktemp (template)) == NULL) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Could not create temporary directory name from template %s.\n", template);
return NULL;
}
if (gmt_mkdir (tmpdir)) {
GMT_Report (API, GMT_MSG_ERROR, "Unable to create directory %s - exiting.\n", tmpdir);
return NULL;
}
/* Remember where we are */
if (getcwd (here, PATH_MAX) == NULL) {
GMT_Report (API, GMT_MSG_ERROR, "Unable to determine current working directory - exiting.\n");
return NULL;
}
gmt_replace_backslash_in_path (here);
/* Use tmpdir as the current directory */
if (chdir (tmpdir)) {
GMT_Report (API, GMT_MSG_ERROR, "Unable to change directory to %s - exiting.\n", tmpdir);
return NULL;
}
/* Create LaTeX file */
sprintf (file, "gmt_eq.tex");
if ((fp = fopen (file, "w")) == NULL) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Could not create LaTeX file %s.\n", file);
return NULL;
}
/* Replace any @[ or <math> ... </math> with $ */
text = strdup (string);
for (i = o = 0; i < strlen (string); i++) {
if (string[i] == '@' && string[i+1] == '[')
text[o++] = '$', i++;
else if (!strncmp (&string[i], "<math>", 6U))
text[o++] = '$', i += 5;
else if (!strncmp (&string[i], "</math>", 7U))
text[o++] = '$', i += 6;
else
text[o++] = string[i];
}
text[o] = '\0'; /* Terminate the now shortened string */
/* Check title font selection and pick corresponding fontpackagename and fontcode, if possible */
switch (F->id) {
case 0: case 1: case 2: case 3: font = "helvet"; code = "phv"; break;
case 4: case 5: case 6: case 7: font = "mathptmx"; code = "ptm"; break;
case 8: case 9: case 10: case 11: font = "courier"; code = "pcr"; break;
case 12: font = "symbol"; code = "psy"; break;
case 13: case 14: case 15: case 16: font = "avantgar"; code = "pag"; break;
case 17: case 18: case 19: case 20: font = "bookman"; code = "pbk"; break;
case 21: case 22: case 23: case 24: font = "helvet"; code = "phv"; break;
case 25: case 26: case 27: case 28: font = "newcent"; code = "pnc"; break;
case 29: case 30: case 31: case 32: font = "mathpazo"; code = "ppl"; break;
case 33: font = "zapfchan"; code = "pzc"; break;
case 34: font = "zapfding"; code = "pzd"; break;
default: font = code = NULL; /* Go with default */
}
/* Write LaTeX file content */
fprintf (fp, "\\documentclass{article}\n"); /* Default to 10p font size */
if (font) { /* Impose a selected font family, otherwise take default Computer Modern */
GMT_Report (API, GMT_MSG_DEBUG, "gmtplot_latex_eps: Selecting font %s [%s].\n", font, code);
fprintf (fp, "\\usepackage[T1]{fontenc}\\usepackage[utf8]{inputenc}\\usepackage{%s}\n", font);
}
fprintf (fp, "\\begin{document}\n\\thispagestyle{empty}\n"); /* No page number */
if (code) /* Select font */
fprintf (fp, "\\fontfamily{%s}\\selectfont\n", code);
fprintf (fp, "%s\n\\end{document}\n", text);
fclose (fp);
gmt_M_str_free (text);
/* Make script file for running latex and dvips */
#ifdef _WIN32
sprintf (file, "gmt_eq.bat");
sprintf (cmd, "start /B gmt_eq.bat");
#else
sprintf (file, "gmt_eq.sh");
sprintf (cmd, "sh gmt_eq.sh");
#endif
if ((fp = fopen (file, "w")) == NULL) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Could not create script file %s.\n", file);
return NULL;
}
#ifdef _WIN32
fprintf (fp, "latex -interaction=nonstopmode gmt_eq.tex > NUL\ndvips -q -E gmt_eq.dvi -o equation.eps\n");
#else
fprintf (fp, "latex -interaction=nonstopmode gmt_eq.tex > /dev/null\ndvips -q -E gmt_eq.dvi -o equation.eps\n");
#endif
fclose (fp);
/* Run the script via a system call */
if ((error = system (cmd))) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Running \"%s\" returned error %d.\n", cmd, error);
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Please run it manually to learn what LaTeX packages you are missing.\n", cmd, error);
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: The script and logs can be found here: %s\n", tmpdir);
return NULL;
}
else { /* Success, now remove the temp files but not worry about the return code here */
#ifdef _WIN32
system ("del gmt_eq.*");
#else
system ("rm -f gmt_eq.*");
#endif
}
/* Retrieve the EPS code */
gmt_M_memset (h, 1U, struct imageinfo); /* Initialize information struct */
if (PSL_loadeps (GMT->PSL, "equation.eps", h, &picture)) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Unable to load EPS file equation.eps\n");
return NULL;
}
/* Clean up */
if (gmt_remove_dir (API, tmpdir, false)) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Unable to remove temporary directory %s!\n", tmpdir);
PSL_free (picture);
return NULL;
}
/* Change back to original directory */
if (chdir (here)) {
GMT_Report (API, GMT_MSG_ERROR, "gmtplot_latex_eps: Unable to change directory back to %s - exiting.\n", here);
PSL_free (picture);
return NULL;
}
/* Return the EPS data and size information via header */
return picture;
}
/* GMT_LINEAR PROJECTION MAP BOUNDARY */
GMT_LOCAL void gmtplot_linear_map_boundary (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n) {
unsigned int cap = PSL->internal.line_cap;
double x_length, y_length;
x_length = GMT->current.proj.rect[XHI] - GMT->current.proj.rect[XLO];
y_length = GMT->current.proj.rect[YHI] - GMT->current.proj.rect[YLO];
PSL_command (PSL, "/PSL_slant_y 0 def /PSL_slant_x 0 def\n"); /* Unless x-annotations are slanted there is no adjustment. PSL_slant_y may be revised in gmt_xy_axis */
if (GMT->current.map.frame.draw) {
/* Temporarily change to square cap so rectangular frames have neat corners */
PSL_setlinecap (PSL, PSL_SQUARE_CAP);
if (GMT->current.map.frame.side[W_SIDE]) gmt_xy_axis (GMT, GMT->current.proj.rect[XLO], GMT->current.proj.rect[YLO], y_length, s, n,
&GMT->current.map.frame.axis[GMT_Y], true, GMT->current.map.frame.side[W_SIDE]); /* West or left y-axis */
if (GMT->current.map.frame.side[E_SIDE]) gmt_xy_axis (GMT, GMT->current.proj.rect[XHI], GMT->current.proj.rect[YLO], y_length, s, n,
&GMT->current.map.frame.axis[GMT_Y], false, GMT->current.map.frame.side[E_SIDE]); /* East or right y-axis */
if (GMT->current.map.frame.side[S_SIDE]) gmt_xy_axis (GMT, GMT->current.proj.rect[XLO], GMT->current.proj.rect[YLO], x_length, w, e,
&GMT->current.map.frame.axis[GMT_X], true, GMT->current.map.frame.side[S_SIDE]); /* South or lower x-axis */
if (GMT->current.map.frame.side[N_SIDE]) gmt_xy_axis (GMT, GMT->current.proj.rect[XLO], GMT->current.proj.rect[YHI], x_length, w, e,
&GMT->current.map.frame.axis[GMT_X], false, GMT->current.map.frame.side[N_SIDE]); /* North or upper x-axis */
PSL_setlinecap (PSL, cap); /* Reset back to default */
}
if (!GMT->current.map.frame.header[0] || GMT->current.map.frame.plotted_header) return; /* No title (and optional subtitle) today */
PSL_comment (PSL, "Placing plot title\n");
if (!GMT->current.map.frame.draw || GMT->current.map.frame.side[N_SIDE] <= GMT_AXIS_DRAW || GMT->current.setting.map_frame_type == GMT_IS_INSIDE)
PSL_defunits (PSL, "PSL_H_y", GMT->current.setting.map_title_offset); /* No ticks or annotations, offset by map_title_offset only */
else
PSL_command (PSL, "/PSL_H_y PSL_L_y PSL_LH add %d add def\n", PSL_IZ (PSL, GMT->current.setting.map_title_offset)); /* For title adjustment */
PSL_command (PSL, "%d %d PSL_H_y add PSL_slant_y add M\n", PSL_IZ (PSL, 0.5 * x_length), PSL_IZ (PSL, y_length));
gmt_map_title (GMT, 0.0, 0.0);
}
GMT_LOCAL unsigned int gmtplot_get_primary_annot (struct GMT_PLOT_AXIS *A) {
/* Return the primary annotation item number [== GMT_ANNOT_UPPER if there are no unit set]*/
unsigned int i, no[2] = {GMT_ANNOT_UPPER, GMT_ANNOT_LOWER};
double val[2], s;
for (i = 0; i < 2; i++) {
val[i] = 0.0;
if (!A->item[no[i]].active || A->item[no[i]].type == 'i' || A->item[no[i]].type == 'I') continue;
switch (A->item[no[i]].unit) {
case 'Y': case 'y':
s = GMT_DAY2SEC_F * 365.25;
break;
case 'O': case 'o':
s = GMT_DAY2SEC_F * 30.5;
break;
case 'U': case 'u':
s = GMT_DAY2SEC_F * 7.0;
break;
case 'K': case 'k':
case 'D': case 'd':
s = GMT_DAY2SEC_F;
break;
case 'H': case 'h':
s = GMT_HR2SEC_F;
break;
case 'M': case 'm':
s = GMT_MIN2SEC_F;
break;
case 'C': case 'c':
s = 1.0;
break;
default: /* No unit specified - probably not a time axis */
s = 1.0;
break;
}
val[i] = A->item[no[i]].interval * s;
}
if (A->item[GMT_ANNOT_UPPER].special) return GMT_ANNOT_UPPER;
return ((val[0] > val[1]) ? GMT_ANNOT_UPPER : GMT_ANNOT_LOWER);
}
GMT_LOCAL bool gmtplot_skip_second_annot (unsigned int item, double x, double x2[], unsigned int n, unsigned int primary) {
unsigned int i;
bool found;
double small;
if (n < 2) return (false); /* Need at least two points so no need to skip */
if (item == primary) return (false); /* Not working on secondary annotation */
if (!x2) return (false); /* None given */
small = (x2[1] - x2[0]) * GMT_CONV4_LIMIT;
for (i = 0, found = false; !found && i < n; i++)
found = (fabs (x2[i] - x) < small);
return (found);
}
GMT_LOCAL void gmtplot_map_latline (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double lat, double west, double east) /* Draws a line of constant latitude */ {
uint64_t nn;
double *llon = NULL, *llat = NULL;
#ifdef DEBUG
uint64_t k;
FILE *fp = NULL;
char name[GMT_LEN64] = {""};
if (GMT->hidden.gridline_debug && (GMT->hidden.gridline_kind == 'x' || GMT->hidden.gridline_val != lat)) return;
#endif
nn = gmtlib_latpath (GMT, lat, west, east, &llon, &llat);
#ifdef DEBUG
if (GMT->hidden.gridline_debug) {
snprintf (name, GMT_LEN64, "gridline_y_%g_ll.txt", lat);
fp = fopen (name, "w");
for (k = 0; k < nn; k++) fprintf (fp, "%g\t%g\n", llon[k], llat[k]);
fclose (fp);
}
#endif
GMT->current.plot.n = gmt_geo_to_xy_line (GMT, llon, llat, nn);
#ifdef DEBUG
if (GMT->hidden.gridline_debug) {
snprintf (name, GMT_LEN64, "gridline_y_%g_xy.txt", lat);
fp = fopen (name, "w");
for (k = 0; k < GMT->current.plot.n; k++) fprintf (fp, "%g\t%g\t%d\n", GMT->current.plot.x[k], GMT->current.plot.y[k], GMT->current.plot.pen[k]);
fclose (fp);
}
#endif
if (GMT->current.plot.n > 1) { /* Need at least 2 points for a line */
PSL_comment (PSL, "Lat = %g\n", lat);
if (GMT->current.map.parallel_straight) { /* Simplify to a 2-point straight line */
GMT->current.plot.x[1] = GMT->current.plot.x[GMT->current.plot.n-1];
GMT->current.plot.y[1] = GMT->current.plot.y[GMT->current.plot.n-1];
GMT->current.plot.pen[1] = GMT->current.plot.pen[GMT->current.plot.n-1];
GMT->current.plot.n = 2;
}
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
gmt_M_free (GMT, llon);
gmt_M_free (GMT, llat);
}
GMT_LOCAL void gmtplot_map_lonline (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double lon, double south, double north) /* Draws a line of constant longitude */ {
uint64_t nn;
double *llon = NULL, *llat = NULL;
#ifdef DEBUG
uint64_t k;
FILE *fp = NULL;
char name[GMT_LEN64] = {""};
if (GMT->hidden.gridline_debug && (GMT->hidden.gridline_kind == 'y' || GMT->hidden.gridline_val != lon)) return;
#endif
nn = gmtlib_lonpath (GMT, lon, south, north, &llon, &llat);
#ifdef DEBUG
if (GMT->hidden.gridline_debug) {
snprintf (name, GMT_LEN64, "gridline_x_%g_ll.txt", lon);
fp = fopen (name, "w");
for (k = 0; k < nn; k++) fprintf (fp, "%g\t%g\n", llon[k], llat[k]);
fclose (fp);
}
#endif
GMT->current.plot.n = gmt_geo_to_xy_line (GMT, llon, llat, nn);
#ifdef DEBUG
if (GMT->hidden.gridline_debug) {
snprintf (name, GMT_LEN64, "gridline_x_%g_xy.txt", lon);
fp = fopen (name, "w");
for (k = 0; k < GMT->current.plot.n; k++) fprintf (fp, "%g\t%g\t%d\n", GMT->current.plot.x[k], GMT->current.plot.y[k], GMT->current.plot.pen[k]);
fclose (fp);
}
#endif
if (GMT->current.plot.n > 1) { /* Need at least 2 points for a line */
PSL_comment (PSL, "Lon = %g\n", lon);
if (GMT->current.map.meridian_straight) { /* Simplify to a 2-point straight line */
GMT->current.plot.x[1] = GMT->current.plot.x[GMT->current.plot.n-1];
GMT->current.plot.y[1] = GMT->current.plot.y[GMT->current.plot.n-1];
GMT->current.plot.pen[1] = GMT->current.plot.pen[GMT->current.plot.n-1];
GMT->current.plot.n = 2;
}
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
gmt_M_free (GMT, llon);
gmt_M_free (GMT, llat);
}
GMT_LOCAL void gmtplot_linearx_oblgrid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
/* x gridlines in oblique coordinates for all but the Oblique Mercator projection [which already is oblique] */
double *x = NULL, *lon = NULL, *lat = NULL, *lat_obl = NULL, tval, p_cap, s_cap;
unsigned int idup = 0, i, j, k, nx, np, nc1 = 0, nc2, npc, np1;
bool cap = false;
gmt_M_unused(PSL); gmt_M_unused(w); gmt_M_unused(e);
/* Ideally we should determine the w/e/s/n of the oblique coordinates but here we will simply
* create oblique coordinates for the full 0/360/-90/90, convert to regular coordinates and
* then truncate points outside the actual w/e/s/n */
/* Do we have duplicate e and w boundaries ? */
p_cap = fabs (GMT->current.setting.map_polar_cap[0]);
s_cap = -p_cap;
idup = (gmt_M_is_azimuthal(GMT)) ? 1 : 0;
cap = !doubleAlmostEqual (p_cap, 90.0); /* true if we have a polar cap specified */
tval = (n - s) * GMT->current.setting.map_line_step / GMT->current.map.height;
nx = gmtlib_linear_array (GMT, 0.0, TWO_PI, D2R * dval, D2R * GMT->current.map.frame.axis[GMT_X].phase, &x);
np = gmtlib_linear_array (GMT, -90.0, 90.0, tval, 0.0, &lat_obl);
np1 = nc2 = np - 1; /* Nominal number of points in path */
lon = gmt_M_memory (GMT, NULL, np+2, double); /* Allow 2 more slots for possibly inserted cap-latitudes */
lat = gmt_M_memory (GMT, NULL, np+2, double);
for (i = 0; i < nx - idup; i++) { /* For each oblique meridian to draw */
/* Create lon,lat arrays of oblique coordinates for this meridian */
for (k = j = 0; k < np; k++, j++) {
gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * lat_obl[k]); /* Get regular coordinates of this point */
lon[j] *= R2D; lat[j] *= R2D; /* Convert back to degrees */
if (lat_obl[k] < s_cap && k < np1 && lat_obl[k+1] > s_cap) { /* Must insert S pole cap latitude point */
j++; gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * s_cap);
lon[j] *= R2D; lat[j] *= R2D; /* Back to degrees */
nc1 = j;
}
else if (lat_obl[k] < p_cap && k < np1 && lat_obl[k+1] > p_cap) { /* Must insert N pole cap latitude point */
j++; gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * p_cap);
lon[j] *= R2D; lat[j] *= R2D; /* Back to degrees */
nc2 = j;
}
}
if (cap) { /* Only plot the line between the two polar caps */
npc = nc2 - nc1 + 1; /* Number of points along meridian bounded by caps */
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, &lon[nc1], &lat[nc1], npc)) == 0) continue;
}
else { /* No polar cap in effect, plot entire meridian */
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, lon, lat, j)) == 0) continue;
}
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
if (nx) gmt_M_free (GMT, x);
if (cap) { /* Draw the polar cap(s) meridians with a separate lon spacing */
nx = gmtlib_linear_array (GMT, 0.0, TWO_PI, D2R * GMT->current.setting.map_polar_cap[1], D2R * GMT->current.map.frame.axis[GMT_X].phase, &x);
for (i = 0; i < nx - idup; i++) {
for (k = j = 0; k < np; k++, j++) {
gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * lat_obl[k]); /* Get regular coordinates of this point */
lon[j] *= R2D; lat[j] *= R2D; /* Back to degrees */
if (lat_obl[k] < s_cap && k < np1 && lat_obl[k+1] > s_cap) { /* Must insert S pole cap latitude point */
j++; gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * s_cap);
lon[j] *= R2D; lat[j] *= R2D; /* Back to degrees */
nc1 = j;
}
else if (lat_obl[k] < p_cap && k < np1 && lat_obl[k+1] > p_cap) { /* Must insert N pole cap latitude point */
j++; gmtlib_iobl (GMT, &lon[j], &lat[j], x[i], D2R * p_cap);
lon[j] *= R2D; lat[j] *= R2D; /* Back to degrees */
nc2 = j;
}
}
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, lon, lat, nc1+1)) > 0)
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, &lon[nc2], &lat[nc2], j-nc2)) > 0)
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
if (nx) gmt_M_free (GMT, x);
}
gmt_M_free (GMT, lat_obl);
gmt_M_free (GMT, lon);
gmt_M_free (GMT, lat);
}
GMT_LOCAL void gmtplot_lineary_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
double *y = NULL;
char *type = (gmt_M_y_is_lat (GMT, GMT_IN)) ? "parallel" : "y";
unsigned int i, ny = 0;
if (GMT->current.proj.z_down) {
if (GMT->current.proj.z_down == GMT_ZDOWN_Z) /* z = n - r */
ny = gmtlib_linear_array (GMT, 0.0, GMT->current.proj.z_radius-s, dval, GMT->current.map.frame.axis[GMT_Y].phase, &y);
else if (GMT->current.proj.z_down == GMT_ZDOWN_ZP) /* z = n - r */
ny = gmtlib_linear_array (GMT, GMT->current.proj.z_radius-n, GMT->current.proj.z_radius-s, dval, GMT->current.map.frame.axis[GMT_Y].phase, &y);
for (i = 0; i < ny; i++) {
if (GMT->current.proj.z_down == GMT_ZDOWN_ZP)
y[i] = GMT->current.proj.z_radius - y[i]; /* These are the z values needed for positioning */
else
y[i] = GMT->common.R.wesn[YHI] - y[i]; /* These are the radial values needed for positioning */
}
}
else
ny = gmtlib_linear_array (GMT, s, n, dval, GMT->current.map.frame.axis[GMT_Y].phase, &y);
for (i = 0; i < ny; i++) {
GMT_Report (GMT->parent, GMT_MSG_DEBUG, "Draw %s = %g from %g to %g\n", type, y[i], w, e);
gmtplot_map_latline (GMT, PSL, y[i], w, e);
}
if (ny) gmt_M_free (GMT, y);
}
GMT_LOCAL void gmtplot_x_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double s, double n, double *x, unsigned int nx) {
unsigned int i;
double x1, y1, x2, y2;
for (i = 0; i < nx; i++) {
if (gmt_M_x_is_lon (GMT, GMT_IN))
gmtplot_map_lonline (GMT, PSL, x[i], s, n);
else {
gmt_geo_to_xy (GMT, x[i], s, &x1, &y1);
gmt_geo_to_xy (GMT, x[i], n, &x2, &y2);
PSL_plotsegment (PSL, x1, y1, x2, y2);
}
}
}
GMT_LOCAL void gmtplot_lineary_oblgrid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
/* y gridlines in oblique coordinates for all but the Oblique Mercator projection [which already is oblique] */
double *y = NULL, *lon = NULL, *lon_obl = NULL, *lat = NULL, tval, p_cap;
bool cap;
unsigned int i, k, ny, np;
gmt_M_unused(PSL); gmt_M_unused(s); gmt_M_unused(n);
/* Ideally we should determine the w/e/s/n of the oblique coordinates but here we will simply
* create oblique coordinates for the full 0/360/-90/90, convert to regular coordinates and
* then truncate points outside the actual w/e/s/n */
ny = gmtlib_linear_array (GMT, -M_PI_2, M_PI_2, D2R * dval, D2R * GMT->current.map.frame.axis[GMT_Y].phase, &y);
tval = (e - w) * GMT->current.setting.map_line_step / GMT->current.map.width;
np = gmtlib_linear_array (GMT, 0.0, TWO_PI, D2R * tval, 0.0, &lon_obl);
lon = gmt_M_memory (GMT, NULL, np+2, double); /* Allow 2 more slots for possibly inserted cap-latitudes */
lat = gmt_M_memory (GMT, NULL, np+2, double);
for (i = 0; i < ny; i++) {
for (k = 0; k < np; k++) {
gmtlib_iobl (GMT, &lon[k], &lat[k], lon_obl[k], y[i]); /* Get regular coordinates of this point */
lon[k] *= R2D; lat[k] *= R2D; /* Convert to degrees */
}
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, lon, lat, np)) == 0) continue;
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
if (ny) gmt_M_free (GMT, y);
p_cap = fabs (GMT->current.setting.map_polar_cap[0]);
cap = !doubleAlmostEqual (p_cap, 90.0); /* true if we have a polar cap specified */
if (cap) { /* Draw the polar cap(s) with a separate spacing */
p_cap = D2R * GMT->current.setting.map_polar_cap[0];
for (k = 0; k < np; k++) { /* S polar cap */
gmtlib_iobl (GMT, &lon[k], &lat[k], lon_obl[k], -p_cap); /* Get regular coordinates of this point */
lon[k] *= R2D; lat[k] *= R2D; /* Convert to degrees */
}
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, lon, lat, np)) > 0)
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
for (k = 0; k < np; k++) { /* N polar cap */
gmtlib_iobl (GMT, &lon[k], &lat[k], lon_obl[k], p_cap); /* Get regular coordinates of this point */
lon[k] *= R2D; lat[k] *= R2D; /* Convert to degrees */
}
if ((GMT->current.plot.n = gmt_geo_to_xy_line (GMT, lon, lat, np)) > 0)
gmt_plot_line (GMT, GMT->current.plot.x, GMT->current.plot.y, GMT->current.plot.pen, GMT->current.plot.n, PSL_LINEAR);
}
gmt_M_free (GMT, lon_obl);
gmt_M_free (GMT, lon);
gmt_M_free (GMT, lat);
}
GMT_LOCAL void gmtplot_y_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double *y, unsigned int ny) {
unsigned int i;
double x1, y1, x2, y2;
for (i = 0; i < ny; i++) {
if (gmt_M_y_is_lat (GMT, GMT_IN))
gmtplot_map_latline (GMT, PSL, y[i], w, e);
else {
gmt_geo_to_xy (GMT, w, y[i], &x1, &y1);
gmt_geo_to_xy (GMT, e, y[i], &x2, &y2);
PSL_plotsegment (PSL, x1, y1, x2, y2);
}
}
}
void plot_timex_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, unsigned int item) {
unsigned int nx;
double *x = NULL;
nx = gmtlib_time_array (GMT, w, e, &GMT->current.map.frame.axis[GMT_X].item[item], &x);
gmtplot_x_grid (GMT, PSL, s, n, x, nx);
if (x) gmt_M_free (GMT, x);
}
GMT_LOCAL void gmtplot_timey_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, unsigned int item) {
unsigned int ny;
double *y = NULL;
ny = gmtlib_time_array (GMT, s, n, &GMT->current.map.frame.axis[GMT_Y].item[item], &y);
gmtplot_y_grid (GMT, PSL, w, e, y, ny);
if (y) gmt_M_free (GMT, y);
}
GMT_LOCAL void gmtplot_logx_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
unsigned int nx;
double *x = NULL;
nx = gmtlib_log_array (GMT, w, e, dval, &x);
gmtplot_x_grid (GMT, PSL, s, n, x, nx);
if (x) gmt_M_free (GMT, x);
}
GMT_LOCAL void gmtplot_logy_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
unsigned int ny;
double *y = NULL;
ny = gmtlib_log_array (GMT, s, n, dval, &y);
gmtplot_y_grid (GMT, PSL, w, e, y, ny);
if (y) gmt_M_free (GMT, y);
}
GMT_LOCAL void gmtplot_powx_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
unsigned int nx;
double *x = NULL;
nx = gmtlib_pow_array (GMT, w, e, dval, 0, &x);
gmtplot_x_grid (GMT, PSL, s, n, x, nx);
if (x) gmt_M_free (GMT, x);
}
GMT_LOCAL void gmtplot_powy_grid (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, double dval) {
unsigned int ny;
double *y = NULL;
ny = gmtlib_pow_array (GMT, s, n, dval, 1, &y);
gmtplot_y_grid (GMT, PSL, w, e, y, ny);
if (y) gmt_M_free (GMT, y);
}
GMT_LOCAL double gmtplot_shift_gridline (struct GMT_CTRL *GMT, double val, unsigned int type) {
/* Only for oblique projections: If any of the corners are exactly multiples of annotation
* or tick intervals then the gridline intersection may fail (tangent or slightly outside
* due to round-off). We determine which gridlines go through the corners and shift them
* a tiny bit to the inside to ensure crossings */
double shift = 0.0;
if (!GMT->common.R.oblique) return shift; /* Return zero if not an oblique projection */
if (type == GMT_X) {
if (gmt_M_360_range (val, GMT->common.R.wesn_orig[XLO])) val = GMT->common.R.wesn_orig[XLO];
else if (gmt_M_360_range (val, GMT->common.R.wesn_orig[XHI])) val = GMT->common.R.wesn_orig[XHI];
if (doubleAlmostEqualZero (val, GMT->common.R.wesn_orig[XLO])) shift = +GMT_CONV4_LIMIT * fabs (GMT->common.R.wesn_orig[XHI] - GMT->common.R.wesn_orig[XLO]); /* Add this to lon to get a slightly larger longitude to ensure crossing */
else if (doubleAlmostEqualZero (val, GMT->common.R.wesn_orig[XHI])) shift = -GMT_CONV4_LIMIT * fabs (GMT->common.R.wesn_orig[XHI] - GMT->common.R.wesn_orig[XLO]); /* Add this to lon to get a slightly smaller longitude to ensure crossing */
}
else {
if (doubleAlmostEqualZero (val, GMT->common.R.wesn_orig[YLO])) shift = +GMT_CONV4_LIMIT * fabs (GMT->common.R.wesn_orig[YHI] - GMT->common.R.wesn_orig[YLO]); /* Add this to lon to get a slightly larger longitude to ensure crossing */
else if (doubleAlmostEqualZero (val, GMT->common.R.wesn_orig[YHI])) shift = -GMT_CONV4_LIMIT * fabs (GMT->common.R.wesn_orig[YHI] - GMT->common.R.wesn_orig[YLO]); /* Add this to lon to get a slightly smaller longitude to ensure crossing */
}
if (shift != 0.0) GMT_Report (GMT->parent, GMT_MSG_INFORMATION, "Adjusted argument %g by %g\n", val, shift);
return shift;
}
/* FANCY RECTANGULAR PROJECTION MAP BOUNDARY */
GMT_LOCAL void gmtplot_fancy_frame_offset (struct GMT_CTRL *GMT, double angle, double shift[2]) {
/* Given the angle of the axis, return the coordinate adjustments needed to
* shift in order to plot the outer 1-2 parallel frame lines (shift[0|1] */
double s, c;
sincos (angle, &s, &c);
shift[0] = GMT->current.setting.map_frame_width * s;
shift[1] = -GMT->current.setting.map_frame_width * c;
}
GMT_LOCAL void gmtplot_fancy_frame_straightlon_checkers (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, bool secondary_too) {
/* Plot checkers along straight longitude boundaries */
int i, k, nx;
unsigned int shade, item[2] = {GMT_TICK_UPPER, GMT_TICK_LOWER};
double dx, w1, val, v1, v2, x1, x2, y1, y2, shift_s[2], shift_n[2], scale[2];
struct GMT_PLOT_AXIS_ITEM *T = NULL;
scale[0] = (secondary_too) ? 0.5 : 1.0;
scale[1] = 1.5;
gmt_geo_to_xy (GMT, e, s, &x1, &y1);
gmt_geo_to_xy (GMT, w, s, &x2, &y2);
gmtplot_fancy_frame_offset (GMT, d_atan2 (y2 - y1, x2 - x1), shift_s);
gmt_geo_to_xy (GMT, w, n, &x1, &y1);
gmt_geo_to_xy (GMT, e, n, &x2, &y2);
gmtplot_fancy_frame_offset (GMT, d_atan2 (y2 - y1, x2 - x1), shift_n);
for (k = 0; k < 1 + secondary_too; k++) {
T = &GMT->current.map.frame.axis[GMT_X].item[item[k]];
if (T->active) {
dx = gmtlib_get_map_interval (GMT, GMT->current.map.frame.axis[GMT_X].type, T);
shade = (urint (floor ((w - GMT->current.map.frame.axis[GMT_X].phase)/ dx))) % 2;
w1 = floor ((w - GMT->current.map.frame.axis[GMT_X].phase)/ dx) * dx + GMT->current.map.frame.axis[GMT_X].phase;
nx = (w1 > e) ? -1 : irint (((e - w1) / dx + GMT_CONV4_LIMIT));
for (i = 0; i <= nx; i++) {
shade = !shade;
val = w1 + i * dx;
v1 = MAX (val, w);
v2 = MIN (val + dx, e);
if (v2 - v1 < GMT_CONV8_LIMIT) continue;
PSL_setcolor (PSL, shade ? GMT->current.setting.map_frame_pen.rgb : GMT->PSL->init.page_rgb, PSL_IS_STROKE);
if (GMT->current.map.frame.side[S_SIDE] & GMT_AXIS_TICK) {
gmt_geo_to_xy (GMT, v1, s, &x1, &y1);
gmt_geo_to_xy (GMT, v2, s, &x2, &y2);
PSL_plotsegment (PSL, x1-0.5*scale[k]*shift_s[0], y1-0.5*scale[k]*shift_s[1], x2-0.5*scale[k]*shift_s[0], y2-0.5*scale[k]*shift_s[1]);
}
if (GMT->current.map.frame.side[N_SIDE] & GMT_AXIS_TICK) {
gmt_geo_to_xy (GMT, v1, n, &x1, &y1);
gmt_geo_to_xy (GMT, v2, n, &x2, &y2);
PSL_plotsegment (PSL, x1-0.5*scale[k]*shift_n[0], y1-0.5*scale[k]*shift_n[1], x2-0.5*scale[k]*shift_n[0], y2-0.5*scale[k]*shift_n[1]);
}
}
}
}
}
GMT_LOCAL void gmtplot_fancy_frame_curvedlon_checkers (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, double w, double e, double s, double n, bool secondary_too) {
/* Plot checkers along curved longitude boundaries */
int i, k, nx;
unsigned int shade, item[2] = {GMT_TICK_UPPER, GMT_TICK_LOWER};
double dx, w1, v1, v2, val, x1, x2, y1, y2, az1, az2, dr, scale[2], radius_s, radius_n;
struct GMT_PLOT_AXIS_ITEM *T;
scale[0] = (secondary_too) ? 0.5 : 1.0;
scale[1] = 1.5;
dr = 0.5 * GMT->current.setting.map_frame_width;
gmt_geo_to_xy (GMT, w, s, &x1, &y1);
gmt_geo_to_xy (GMT, w, n, &x2, &y2);
radius_s = hypot (x1 - GMT->current.proj.c_x0, y1 - GMT->current.proj.c_y0);
radius_n = hypot (x2 - GMT->current.proj.c_x0, y2 - GMT->current.proj.c_y0);
for (k = 0; k < 1 + secondary_too; k++) {
T = &GMT->current.map.frame.axis[GMT_X].item[item[k]];
if (T->active) {
dx = gmtlib_get_map_interval (GMT, GMT->current.map.frame.axis[GMT_X].type, T);
shade = urint (floor ((w - GMT->current.map.frame.axis[GMT_X].phase) / dx)) % 2;
w1 = floor ((w - GMT->current.map.frame.axis[GMT_X].phase)/dx) * dx + GMT->current.map.frame.axis[GMT_X].phase;
nx = (w1 > e) ? -1 : irint ((e-w1) / dx + GMT_CONV4_LIMIT);
for (i = 0; i <= nx; i++) {
shade = !shade;
val = w1 + i * dx;
v1 = MAX (val, w);
v2 = MIN (val + dx, e);
if (v2 - v1 < GMT_CONV8_LIMIT) continue;
PSL_setcolor (PSL, shade ? GMT->current.setting.map_frame_pen.rgb : GMT->PSL->init.page_rgb, PSL_IS_STROKE);
if (GMT->current.map.frame.side[S_SIDE] & GMT_AXIS_TICK) {
gmt_geo_to_xy (GMT, v2, s, &x1, &y1);
gmt_geo_to_xy (GMT, v1, s, &x2, &y2);
az1 = d_atan2d (y1 - GMT->current.proj.c_y0, x1 - GMT->current.proj.c_x0);
az2 = d_atan2d (y2 - GMT->current.proj.c_y0, x2 - GMT->current.proj.c_x0);
if (GMT->current.proj.north_pole) {
if (az1 < az2) az1 += 360.0;
PSL_plotarc (PSL, GMT->current.proj.c_x0, GMT->current.proj.c_y0, radius_s+scale[k]*dr, az2, az1, PSL_MOVE|PSL_STROKE);
}
else {
if (az2 < az1) az2 += 360.0;
PSL_plotarc (PSL, GMT->current.proj.c_x0, GMT->current.proj.c_y0, radius_s-scale[k]*dr, az1, az2, PSL_MOVE|PSL_STROKE);
}
}
if (GMT->current.map.frame.side[N_SIDE] & GMT_AXIS_TICK) {
gmt_geo_to_xy (GMT, v2, n, &x1, &y1);
gmt_geo_to_xy (GMT, v1, n, &x2, &y2);
az1 = d_atan2d (y1 - GMT->current.proj.c_y0, x1 - GMT->current.proj.c_x0);
az2 = d_atan2d (y2 - GMT->current.proj.c_y0, x2 - GMT->current.proj.c_x0);
if (GMT->current.proj.north_pole) {
if (az1 < az2) az1 += 360.0;
PSL_plotarc (PSL, GMT->current.proj.c_x0, GMT->current.proj.c_y0, radius_n-scale[k]*dr, az2, az1, PSL_MOVE|PSL_STROKE);