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-rw-r--r--src/PJ_glabsgm.c44
1 files changed, 44 insertions, 0 deletions
diff --git a/src/PJ_glabsgm.c b/src/PJ_glabsgm.c
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--- /dev/null
+++ b/src/PJ_glabsgm.c
@@ -0,0 +1,44 @@
+#ifndef lint
+static const char SCCSID[]="@(#)PJ_glabsgm.c 4.5 07/09/24 ??? ???";
+#endif
+#define PROJ_PARMS__ \
+ double lamc;\
+ double phic;\
+ double c;\
+ double n1;\
+ double n2;
+
+#define PJ_LIB__
+# include <projects.h>
+PROJ_HEAD(glabsgm, "Gauss Laborde (Sphere Geometric Mean)")
+ "\n\tCyl, Sph&Ell\n\tlat_0= lon_0= k_0=";
+FORWARD(s_forward); /* spheroid */
+ double L, Ls, sinLs1, Ls1;
+ L= P->n1*lp.lam;
+ Ls= P->c+P->n1*log(pj_tsfn(-1.0*lp.phi,-1.0*sin(lp.phi),P->e));
+ sinLs1= sin(L)/cosh(Ls);
+ Ls1= log(pj_tsfn(-1.0*asin(sinLs1),0.0,0.0));
+ xy.x= P->n2*P->ra*Ls1;
+ xy.y= P->n2*P->ra*atan(sinh(Ls)/cos(L));
+ return (xy);
+}
+INVERSE(s_inverse); /* spheroid */
+ double L, LC, sinC;
+ L= atan(sinh(xy.x*P->a/P->n2)/cos(xy.y*P->a/P->n2));
+ sinC= sin(xy.y*P->a/P->n2)/cosh(xy.x*P->a/P->n2);
+ LC= log(pj_tsfn(-1.0*asin(sinC),0.0,0.0));
+ lp.lam= L/P->n1;
+ lp.phi= -1.0*pj_phi2(exp((LC-P->c)/P->n1),P->e);
+ return (lp);
+}
+FREEUP; if (P) pj_dalloc(P); }
+ENTRY0(glabsgm)
+ P->n1= sqrt(1.0+P->es*pow(cos(P->phi0),4.0)/(1.0-P->es));
+ P->phic= asin(sin(P->phi0)/P->n1);
+ P->c= log(pj_tsfn(-1.0*P->phic,0.0,0.0))
+ -P->n1*log(pj_tsfn(-1.0*P->phi0,-1.0*sin(P->phi0),P->e));
+ P->n2= P->k0*P->a*sqrt(1.0-P->es)/(1.0-P->es*sin(P->phi0)*sin(P->phi0));
+ P->y0-= P->n2*P->phic;
+ P->inv= s_inverse;
+ P->fwd= s_forward;
+ENDENTRY(P)