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-rw-r--r--src/Makefile.am2
-rw-r--r--src/Makefile.in4
-rw-r--r--src/PJ_natearth.c77
-rw-r--r--src/makefile.vc2
-rw-r--r--src/pj_list.h1
5 files changed, 82 insertions, 4 deletions
diff --git a/src/Makefile.am b/src/Makefile.am
index 97e9e833..621b0b4a 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -57,7 +57,7 @@ libproj_la_SOURCES = \
pj_open_lib.c pj_param.c pj_phi2.c pj_pr_list.c \
pj_qsfn.c pj_strerrno.c pj_tsfn.c pj_units.c pj_ctx.c pj_log.c \
pj_zpoly1.c rtodms.c vector1.c pj_release.c pj_gauss.c \
- PJ_healpix.c \
+ PJ_healpix.c PJ_natearth.c \
\
nad_cvt.c nad_init.c nad_intr.c emess.c emess.h \
pj_apply_gridshift.c pj_datums.c pj_datum_set.c pj_transform.c \
diff --git a/src/Makefile.in b/src/Makefile.in
index 412bd0bd..61ef536d 100644
--- a/src/Makefile.in
+++ b/src/Makefile.in
@@ -102,7 +102,7 @@ am_libproj_la_OBJECTS = PJ_aeqd.lo PJ_gnom.lo PJ_laea.lo \
pj_open_lib.lo pj_param.lo pj_phi2.lo pj_pr_list.lo pj_qsfn.lo \
pj_strerrno.lo pj_tsfn.lo pj_units.lo pj_ctx.lo pj_log.lo \
pj_zpoly1.lo rtodms.lo vector1.lo pj_release.lo pj_gauss.lo \
- PJ_healpix.lo nad_cvt.lo nad_init.lo nad_intr.lo emess.lo \
+ PJ_healpix.lo PJ_natearth.lo nad_cvt.lo nad_init.lo nad_intr.lo emess.lo \
pj_apply_gridshift.lo pj_datums.lo pj_datum_set.lo \
pj_transform.lo geocent.lo pj_utils.lo pj_gridinfo.lo \
pj_gridlist.lo jniproj.lo pj_mutex.lo pj_initcache.lo \
@@ -316,7 +316,7 @@ libproj_la_SOURCES = \
pj_open_lib.c pj_param.c pj_phi2.c pj_pr_list.c \
pj_qsfn.c pj_strerrno.c pj_tsfn.c pj_units.c pj_ctx.c pj_log.c \
pj_zpoly1.c rtodms.c vector1.c pj_release.c pj_gauss.c \
- PJ_healpix.c \
+ PJ_healpix.c PJ_natearth.c \
\
nad_cvt.c nad_init.c nad_intr.c emess.c emess.h \
pj_apply_gridshift.c pj_datums.c pj_datum_set.c pj_transform.c \
diff --git a/src/PJ_natearth.c b/src/PJ_natearth.c
new file mode 100644
index 00000000..f83a3ffd
--- /dev/null
+++ b/src/PJ_natearth.c
@@ -0,0 +1,77 @@
+/*
+The Natural Earth projection was designed by Tom Patterson, US National Park
+Service, in 2007, using Flex Projector. The shape of the original projection
+was defined at every 5 degrees and piece-wise cubic spline interpolation was
+used to compute the complete graticule.
+The code here uses polynomial functions instead of cubic splines and
+is therefore much simpler to program. The polynomial approximation was
+developed by Bojan Savric, in collaboration with Tom Patterson and Bernhard
+Jenny, Institute of Cartography, ETH Zurich. It slightly deviates from
+Patterson's original projection by adding additional curvature to meridians
+where they meet the horizontal pole line. This improvement is by intention
+and designed in collaboration with Tom Patterson.
+Port to PROJ.4 by Bernhard Jenny, 6 June 2011
+*/
+
+#define PJ_LIB__
+#include <projects.h>
+PROJ_HEAD(natearth, "Natural Earth") "\n\tPCyl., Sph.";
+#define A0 0.8707
+#define A1 -0.131979
+#define A2 -0.013791
+#define A3 0.003971
+#define A4 -0.001529
+#define B0 1.007226
+#define B1 0.015085
+#define B2 -0.044475
+#define B3 0.028874
+#define B4 -0.005916
+#define C0 B0
+#define C1 (3 * B1)
+#define C2 (7 * B2)
+#define C3 (9 * B3)
+#define C4 (11 * B4)
+#define EPS 1e-11
+#define MAX_Y (0.8707 * 0.52 * PI)
+
+FORWARD(s_forward); /* spheroid */
+ double phi2, phi4;
+
+ phi2 = lp.phi * lp.phi;
+ phi4 = phi2 * phi2;
+ xy.x = lp.lam * (A0 + phi2 * (A1 + phi2 * (A2 + phi4 * phi2 * (A3 + phi2 * A4))));
+ xy.y = lp.phi * (B0 + phi2 * (B1 + phi4 * (B2 + B3 * phi2 + B4 * phi4)));
+ return (xy);
+}
+INVERSE(s_inverse); /* spheroid */
+ double yc, tol, y2, y4, f, fder;
+
+ /* make sure y is inside valid range */
+ if (xy.y > MAX_Y) {
+ xy.y = MAX_Y;
+ } else if (xy.y < -MAX_Y) {
+ xy.y = -MAX_Y;
+ }
+
+ /* latitude */
+ yc = xy.y;
+ for (;;) { /* Newton-Raphson */
+ y2 = yc * yc;
+ y4 = y2 * y2;
+ f = (yc * (B0 + y2 * (B1 + y4 * (B2 + B3 * y2 + B4 * y4)))) - xy.y;
+ fder = C0 + y2 * (C1 + y4 * (C2 + C3 * y2 + C4 * y4));
+ yc -= tol = f / fder;
+ if (fabs(tol) < EPS) {
+ break;
+ }
+ }
+ lp.phi = yc;
+
+ /* longitude */
+ y2 = yc * yc;
+ lp.lam = xy.x / (A0 + y2 * (A1 + y2 * (A2 + y2 * y2 * y2 * (A3 + y2 * A4))));
+
+ return (lp);
+}
+FREEUP; if (P) pj_dalloc(P); }
+ENTRY0(natearth) P->es = 0; P->inv = s_inverse; P->fwd = s_forward; ENDENTRY(P)
diff --git a/src/makefile.vc b/src/makefile.vc
index 220468ab..58c348f6 100644
--- a/src/makefile.vc
+++ b/src/makefile.vc
@@ -27,7 +27,7 @@ misc = \
PJ_lask.obj PJ_nocol.obj PJ_ob_tran.obj PJ_oea.obj \
PJ_tpeqd.obj PJ_vandg.obj PJ_vandg2.obj PJ_vandg4.obj \
PJ_wag7.obj pj_latlong.obj PJ_krovak.obj pj_geocent.obj \
- PJ_healpix.obj
+ PJ_healpix.obj PJ_natearth.obj
pseudo = \
PJ_boggs.obj PJ_collg.obj PJ_crast.obj PJ_denoy.obj \
diff --git a/src/pj_list.h b/src/pj_list.h
index ac88f9d8..8230f92f 100644
--- a/src/pj_list.h
+++ b/src/pj_list.h
@@ -82,6 +82,7 @@ PROJ_HEAD(moll, "Mollweide")
PROJ_HEAD(murd1, "Murdoch I")
PROJ_HEAD(murd2, "Murdoch II")
PROJ_HEAD(murd3, "Murdoch III")
+PROJ_HEAD(natearth, "Natural Earth")
PROJ_HEAD(nell, "Nell")
PROJ_HEAD(nell_h, "Nell-Hammer")
PROJ_HEAD(nicol, "Nicolosi Globular")