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+/******************************************************************************
+ * Project: PROJ.4
+ * Purpose: Inverse operation invocation
+ * Author: Thomas Knudsen, thokn@sdfe.dk, 2018-01-02
+ * Based on material from Gerald Evenden (original pj_inv)
+ * and Piyush Agram (original pj_inv3d)
+ *
+ ******************************************************************************
+ * Copyright (c) 2000, Frank Warmerdam
+ * Copyright (c) 2018, Thomas Knudsen / SDFE
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+ * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+ * DEALINGS IN THE SOFTWARE.
+ *****************************************************************************/
+#include <errno.h>
+#include <math.h>
+
+#include "proj_internal.h"
+#include "proj_math.h"
+#include "projects.h"
+
+#define INPUT_UNITS P->right
+#define OUTPUT_UNITS P->left
+
+static PJ_COORD inv_prepare (PJ *P, PJ_COORD coo) {
+ if (coo.v[0] == HUGE_VAL || coo.v[1] == HUGE_VAL || coo.v[2] == HUGE_VAL) {
+ proj_errno_set (P, PJD_ERR_INVALID_X_OR_Y);
+ return proj_coord_error ();
+ }
+
+ /* The helmert datum shift will choke unless it gets a sensible 4D coordinate */
+ if (HUGE_VAL==coo.v[2] && P->helmert) coo.v[2] = 0.0;
+ if (HUGE_VAL==coo.v[3] && P->helmert) coo.v[3] = 0.0;
+
+ if (P->axisswap)
+ coo = proj_trans (P->axisswap, PJ_INV, coo);
+
+ /* Handle remaining possible input types */
+ switch (INPUT_UNITS) {
+ case PJ_IO_UNITS_WHATEVER:
+ return coo;
+
+ /* de-scale and de-offset */
+ case PJ_IO_UNITS_CARTESIAN:
+ coo.xyz.x *= P->to_meter;
+ coo.xyz.y *= P->to_meter;
+ coo.xyz.z *= P->to_meter;
+ if (P->is_geocent) {
+ coo = proj_trans (P->cart, PJ_INV, coo);
+ }
+
+ return coo;
+
+ case PJ_IO_UNITS_PROJECTED:
+ case PJ_IO_UNITS_CLASSIC:
+ coo.xyz.x = P->to_meter * coo.xyz.x - P->x0;
+ coo.xyz.y = P->to_meter * coo.xyz.y - P->y0;
+ coo.xyz.z = P->vto_meter * coo.xyz.z - P->z0;
+ if (INPUT_UNITS==PJ_IO_UNITS_PROJECTED)
+ return coo;
+
+ /* Classic proj.4 functions expect plane coordinates in units of the semimajor axis */
+ /* Multiplying by ra, rather than dividing by a because the CalCOFI projection */
+ /* stomps on a and hence (apparently) depends on this to roundtrip correctly */
+ /* (CalCOFI avoids further scaling by stomping - but a better solution is possible) */
+ coo.xyz.x *= P->ra;
+ coo.xyz.y *= P->ra;
+ return coo;
+
+ case PJ_IO_UNITS_ANGULAR:
+ coo.lpz.z = P->vto_meter * coo.lpz.z - P->z0;
+ break;
+ }
+
+ /* Should not happen, so we could return pj_coord_err here */
+ return coo;
+}
+
+
+
+static PJ_COORD inv_finalize (PJ *P, PJ_COORD coo) {
+ if (coo.xyz.x == HUGE_VAL) {
+ proj_errno_set (P, PJD_ERR_INVALID_X_OR_Y);
+ return proj_coord_error ();
+ }
+
+ if (OUTPUT_UNITS==PJ_IO_UNITS_ANGULAR) {
+
+ /* Distance from central meridian, taking system zero meridian into account */
+ coo.lp.lam = coo.lp.lam + P->from_greenwich + P->lam0;
+
+ /* adjust longitude to central meridian */
+ if (0==P->over)
+ coo.lpz.lam = adjlon(coo.lpz.lam);
+
+ if (P->vgridshift)
+ coo = proj_trans (P->vgridshift, PJ_INV, coo); /* Go geometric from orthometric */
+ if (coo.lp.lam==HUGE_VAL)
+ return coo;
+ if (P->hgridshift)
+ coo = proj_trans (P->hgridshift, PJ_FWD, coo);
+ else if (P->helmert || (P->cart_wgs84 != nullptr && P->cart != nullptr)) {
+ coo = proj_trans (P->cart, PJ_FWD, coo); /* Go cartesian in local frame */
+ if( P->helmert )
+ coo = proj_trans (P->helmert, PJ_FWD, coo); /* Step into WGS84 */
+ coo = proj_trans (P->cart_wgs84, PJ_INV, coo); /* Go back to angular using WGS84 ellps */
+ }
+ if (coo.lp.lam==HUGE_VAL)
+ return coo;
+
+ /* If input latitude was geocentrical, convert back to geocentrical */
+ if (P->geoc)
+ coo = pj_geocentric_latitude (P, PJ_FWD, coo);
+ }
+
+ return coo;
+}
+
+
+static PJ_COORD error_or_coord(PJ *P, PJ_COORD coord, int last_errno) {
+ if (proj_errno(P))
+ return proj_coord_error();
+
+ proj_errno_restore(P, last_errno);
+ return coord;
+}
+
+
+LP pj_inv(XY xy, PJ *P) {
+ int last_errno;
+ PJ_COORD coo = {{0,0,0,0}};
+ coo.xy = xy;
+
+ last_errno = proj_errno_reset(P);
+
+ if (!P->skip_inv_prepare)
+ coo = inv_prepare (P, coo);
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ().lp;
+
+ /* Do the transformation, using the lowest dimensional transformer available */
+ if (P->inv)
+ coo.lp = P->inv(coo.xy, P);
+ else if (P->inv3d)
+ coo.lpz = P->inv3d (coo.xyz, P);
+ else if (P->inv4d)
+ coo = P->inv4d (coo, P);
+ else {
+ proj_errno_set (P, EINVAL);
+ return proj_coord_error ().lp;
+ }
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ().lp;
+
+ if (!P->skip_inv_finalize)
+ coo = inv_finalize (P, coo);
+
+ return error_or_coord(P, coo, last_errno).lp;
+}
+
+
+
+LPZ pj_inv3d (XYZ xyz, PJ *P) {
+ int last_errno;
+ PJ_COORD coo = {{0,0,0,0}};
+ coo.xyz = xyz;
+
+ last_errno = proj_errno_reset(P);
+
+ if (!P->skip_inv_prepare)
+ coo = inv_prepare (P, coo);
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ().lpz;
+
+ /* Do the transformation, using the lowest dimensional transformer feasible */
+ if (P->inv3d)
+ coo.lpz = P->inv3d (coo.xyz, P);
+ else if (P->inv4d)
+ coo = P->inv4d (coo, P);
+ else if (P->inv)
+ coo.lp = P->inv (coo.xy, P);
+ else {
+ proj_errno_set (P, EINVAL);
+ return proj_coord_error ().lpz;
+ }
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ().lpz;
+
+ if (!P->skip_inv_finalize)
+ coo = inv_finalize (P, coo);
+
+ return error_or_coord(P, coo, last_errno).lpz;
+}
+
+
+
+PJ_COORD pj_inv4d (PJ_COORD coo, PJ *P) {
+ int last_errno = proj_errno_reset(P);
+
+ if (!P->skip_inv_prepare)
+ coo = inv_prepare (P, coo);
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ();
+
+ /* Call the highest dimensional converter available */
+ if (P->inv4d)
+ coo = P->inv4d (coo, P);
+ else if (P->inv3d)
+ coo.lpz = P->inv3d (coo.xyz, P);
+ else if (P->inv)
+ coo.lp = P->inv (coo.xy, P);
+ else {
+ proj_errno_set (P, EINVAL);
+ return proj_coord_error ();
+ }
+ if (HUGE_VAL==coo.v[0])
+ return proj_coord_error ();
+
+ if (!P->skip_inv_finalize)
+ coo = inv_finalize (P, coo);
+
+ return error_or_coord(P, coo, last_errno);
+}
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