Merge pull request #2991 from OSGeo/backport-2978-to-8.2

[Backport 8.2] Fix and additional options for Peirce Quincuncial projections
author: Even Rouault <even.rouault@spatialys.com> 2021-12-21 19:39:10 +0100
committer: GitHub <noreply@github.com> 2021-12-21 19:39:10 +0100
commit: c8346e9f0a17d08b68935afde791611c50b07e0e (patch)
tree: 2f7d41b6d83efc6329898aac5eec4cd073ddcfd5
parent: 247a79e6c7e425573900821c218c10ec2a272f97 (diff)
parent: d5d60b7154d149de797737ecd96fde56bfecb7c2 (diff)
download: PROJ-c8346e9f0a17d08b68935afde791611c50b07e0e.tar.gz
PROJ-c8346e9f0a17d08b68935afde791611c50b07e0e.zip
9 files changed, 1256 insertions, 1180 deletions
diff --git a/docs/plot/plotdefs.json b/docs/plot/plotdefs.json
index 1e9c05ee..a6d70273 100644
--- a/docs/plot/plotdefs.json
+++ b/docs/plot/plotdefs.json
@@ -1051,13 +1051,46 @@
         "type": "poly"
     },
     {
-        "filename": "peirce_q.png",
+        "filename": "peirce_q_square.png",
         "latmax": 90,
-        "latmin": 0,
+        "latmin": -90,
+        "lonmax": 180,
+        "lonmin": -180,
+        "name": "peirce_q_square",
+        "projstring": "+proj=peirce_q +lon_0=25 +type=square",
+        "res": "low",
+        "type": "poly"
+    },
+    {
+        "filename": "peirce_q_diamond.png",
+        "latmax": 90,
+        "latmin": -90,
         "lonmax": 180,
         "lonmin": -180,
         "name": "peirce_q",
-        "projstring": "+proj=peirce_q",
+        "projstring": "+proj=peirce_q +lon_0=25 +type=diamond",
+        "res": "low",
+        "type": "poly"
+    },
+    {
+        "filename": "peirce_q_horizontal.png",
+        "latmax": 90,
+        "latmin": -90,
+        "lonmax": 180,
+        "lonmin": -180,
+        "name": "peirce_q_horizontal",
+        "projstring": "+proj=peirce_q +lon_0=25 +type=horizontal",
+        "res": "low",
+        "type": "line"
+    },
+    {
+        "filename": "grieger_triptychial.png",
+        "latmax": 90,
+        "latmin": -90,
+        "lonmax": 180,
+        "lonmin": -180,
+        "name": "grieger_triptychial",
+        "projstring": "+proj=pipeline +step +proj=ob_tran +o_proj=peirce_q +o_lat_p=-45 +o_lon_p=45 +type=horizontal +scrollx=-0.25 +step +proj=affine +s11=-1 +s12=0 +s21=0 +s22=-1",
         "res": "low",
         "type": "poly"
     },
diff --git a/docs/source/operations/projections/images/grieger_triptychial.png b/docs/source/operations/projections/images/grieger_triptychial.png
new file mode 100644
index 00000000..2e03a67b
--- /dev/null
+++ b/docs/source/operations/projections/images/grieger_triptychial.png
diff --git a/docs/source/operations/projections/images/peirce_q.png b/docs/source/operations/projections/images/peirce_q.png
deleted file mode 100644
index 646e4f80..00000000
--- a/docs/source/operations/projections/images/peirce_q.png
+++ /dev/null
diff --git a/docs/source/operations/projections/images/peirce_q_diamond.png b/docs/source/operations/projections/images/peirce_q_diamond.png
new file mode 100644
index 00000000..b8a84967
--- /dev/null
+++ b/docs/source/operations/projections/images/peirce_q_diamond.png
diff --git a/docs/source/operations/projections/images/peirce_q_horizontal.png b/docs/source/operations/projections/images/peirce_q_horizontal.png
new file mode 100644
index 00000000..615c2abf
--- /dev/null
+++ b/docs/source/operations/projections/images/peirce_q_horizontal.png
diff --git a/docs/source/operations/projections/images/peirce_q_square.png b/docs/source/operations/projections/images/peirce_q_square.png
new file mode 100644
index 00000000..485b23a1
--- /dev/null
+++ b/docs/source/operations/projections/images/peirce_q_square.png
diff --git a/docs/source/operations/projections/peirce_q.rst b/docs/source/operations/projections/peirce_q.rst
index 86445ea1..cf972932 100644
--- a/docs/source/operations/projections/peirce_q.rst
+++ b/docs/source/operations/projections/peirce_q.rst
@@ -4,6 +4,23 @@
 Peirce Quincuncial
 ********************************************************************************
 
+The Peirce Quincuncial projection is a conformal map projection
+that transforms the circle of the northern hemisphere into a square,
+and the southern hemisphere split into four triangles arranged
+around the square to form a quincunx. The resulting projection
+is a regular diamond shape or can be rotated to form a square.
+The resulting tile can be infinitely tessellated. Though this implementation
+defaults to a central meridian of 0, it is more common to use a central
+meridian of around 25 to optimise the distortions. Peirce's original
+published map from 1879 used a central meridian of approx -70.
+The diamond and square versions can be produced using the
+``+type=diamond`` and ``+type=square`` options respectively.
+This implementation includes an alternative lateral projection
+which places hemispheres side-by-side (``+type=horizontal`` or
+``+type=vertical``). Combined with a general oblique transformation,
+this can be used to produced a Grieger Triptychial projection
+(see example below).
+
 +---------------------+----------------------------------------------------------+
 | **Classification**  | Miscellaneous                                            |
 +---------------------+----------------------------------------------------------+
@@ -21,12 +38,33 @@ Peirce Quincuncial
 +---------------------+----------------------------------------------------------+
 
 
-.. figure:: ./images/peirce_q.png
+.. figure:: ./images/peirce_q_square.png
+   :width: 500 px
+   :align: center
+   :alt:   Peirce Quincuncial (Square)
+
+   proj-string: ``+proj=peirce_q +lon_0=25 +type=square``
+
+.. figure:: ./images/peirce_q_diamond.png
+   :width: 500 px
+   :align: center
+   :alt:   Peirce Quincuncial (Diamond)
+
+   proj-string: ``+proj=peirce_q +lon_0=25 +type=diamond``
+
+.. figure:: ./images/peirce_q_horizontal.png
+   :width: 500 px
+   :align: center
+   :alt:   Peirce Quincuncial (Horizontal)
+
+   proj-string: ``+proj=peirce_q +lon_0=25 +type=horizontal``
+
+.. figure:: ./images/grieger_triptychial.png
    :width: 500 px
    :align: center
-   :alt:   Peirce Quincuncial
+   :alt:   Grieger Triptychial
 
-   proj-string: ``+proj=peirce_q``
+   proj-string: ``+proj=pipeline +step +proj=ob_tran +o_proj=peirce_q +o_lat_p=-45 +o_lon_p=45 +o_type=horizontal +o_scrollx=-0.25 +step +proj=affine +s11=-1 +s12=0 +s21=0 +s22=-1``
 
 Parameters
 ################################################################################
@@ -35,6 +73,41 @@ Parameters
 
 .. include:: ../options/lon_0.rst
 
+.. option:: +type=square/diamond/horizontal/vertical/nhemisphere/shemisphere
+
+    .. versionadded:: 8.2.1
+
+    *Defaults to diamond.*
+
+    Indicates the type of transformation applied to the southern hemisphere:
+    ``square`` and ``diamond`` represent the traditional quincuncial form suggested
+    by Peirce with the southern hemisphere divided into 4 triangles and reflected
+    outward from the northern hemisphere. The ``square`` type is rotated by 45
+    degrees to produce the conventional square presentation. The origin lies at
+    the centre of the square or diamond.
+
+    By contrast, the ``horizontal`` and ``vertical`` forms reflect the southern
+    hemisphere laterally across the x or y axis respectively to produce a rectangular
+    form. The origin lies at the centre of the rectangle.
+
+    The other two types, ``nhemisphere`` and ``shemisphere``, discard latitudes of less
+    than 0 or more than 0, respectively, to allow single hemispheres to be selected.
+    The origin lies at the centre of the square or diamond.
+
+.. option:: +scrollx=<value>
+
+    For ``horizontal`` type allows a scalar circular scroll of resulting x coordinates
+    to shift sections of the projection to the other horizontal side of the map.
+
+    *Defaults to 0.0. Must be a scale between -1.0 and 1.0.*
+
+.. option:: +scrolly=<value>
+
+    For ``vertical`` type allows a scalar circular scroll of resulting y coordinates
+    to shift sections of the projection to the other vertical side of the map.
+
+    *Defaults to 0.0. Must be a scale between -1.0 and 1.0.*
+
 .. include:: ../options/R.rst
 
 .. include:: ../options/x_0.rst
diff --git a/src/projections/adams.cpp b/src/projections/adams.cpp
index 389ca054..4150fff2 100644
--- a/src/projections/adams.cpp
+++ b/src/projections/adams.cpp
@@ -6,9 +6,21 @@
 * PROJ by Kristian Evers. Original code found in file src/proj_guyou.c, see
 * https://github.com/rouault/libproj4/blob/master/libproject-1.01/src/proj_guyou.c
 * for reference.
+* Fix for Peirce Quincuncial projection to diamond or square by Toby C. Wilkinson to
+* correctly flip out southern hemisphere into the four triangles of Peirce's
+* quincunx. The fix inspired by a similar rotate and translate solution applied
+* by Jonathan Feinberg for cartopy, see
+* https://github.com/jonathf/cartopy/blob/8172cac7fc45cafc86573d408ce85b74258a9c28/lib/cartopy/peircequincuncial.py
+* Added original code for horizontal and vertical arrangement of hemispheres by Toby
+* C. Wilkinson to allow creation of lateral quincuncial projections, such as Grieger's
+* Triptychial, see, e.g.:
+* - Grieger, B. (2020). “Optimized global map projections for specific applications:
+* the triptychial projection and the Spilhaus projection”. EGU2020-9885.
+* https://doi.org/10.5194/egusphere-egu2020-9885
 *
 * Copyright (c) 2005, 2006, 2009 Gerald I. Evenden
 * Copyright (c) 2020 Kristian Evers
+* Copyright (c) 2021 Toby C Wilkinson
 *
 * Related material
 * ----------------
@@ -48,8 +60,20 @@ enum projection_type {
     ADAMS_WS2,
 };
 
+enum peirce_type {
+  PEIRCE_Q_SQUARE,
+  PEIRCE_Q_DIAMOND,
+  PEIRCE_Q_NHEMISPHERE,
+  PEIRCE_Q_SHEMISPHERE,
+  PEIRCE_Q_HORIZONTAL,
+  PEIRCE_Q_VERTICAL,
+};
+
 struct pj_opaque {
     projection_type mode;
+    peirce_type pqtype;
+    double scrollx = 0.0;
+    double scrolly = 0.0;
 };
 
 } // anonymous namespace
@@ -118,9 +142,18 @@ static PJ_XY adams_forward(PJ_LP lp, PJ *P) {
         }
         break;
     case PEIRCE_Q: {
-            if( lp.phi < -TOL ) {
+            /* lam0 - note that the original Peirce model used a central meridian of around -70deg, but the default within proj is +lon0=0 */
+            if (Q->pqtype == PEIRCE_Q_NHEMISPHERE) {
+              if( lp.phi < -TOL ) {
+                proj_errno_set(P, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
+                return proj_coord_error().xy;
+              }
+            }
+            if (Q->pqtype == PEIRCE_Q_SHEMISPHERE) {
+              if( lp.phi > -TOL ) {
                 proj_errno_set(P, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
                 return proj_coord_error().xy;
+              }
             }
             const double sl = sin(lp.lam);
             const double cl = cos(lp.lam);
@@ -173,7 +206,71 @@ static PJ_XY adams_forward(PJ_LP lp, PJ *P) {
     xy.x = ell_int_5(m);
     xy.y = ell_int_5(n);
 
-    if (Q->mode == ADAMS_HEMI || Q->mode == ADAMS_WS2) { /* rotate by 45deg. */
+    if (Q->mode == PEIRCE_Q) {
+      /* Constant complete elliptic integral of the first kind with m=0.5, calculated using https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.ellipk.html . Used as basic as scaled shift distance */
+      constexpr double shd = 1.8540746773013719 * 2;
+
+      /* For square and diamond Quincuncial projections, spin out southern hemisphere to triangular segments of quincunx (before rotation for square)*/
+      if( Q->pqtype == PEIRCE_Q_SQUARE || ( Q->pqtype == PEIRCE_Q_DIAMOND )) {
+        if (lp.phi < 0.)  { /* fold out segments */
+          if (lp.lam < ( -0.75 * M_PI )) xy.y = shd - xy.y; /* top left segment, shift up and reflect y */
+          if ( (lp.lam < (-0.25 * M_PI)) && (lp.lam >= ( -0.75 * M_PI ))) xy.x = - shd - xy.x; /* left segment, shift left and reflect x */
+          if ( (lp.lam < (0.25 * M_PI)) && (lp.lam >= ( -0.25 * M_PI ))) xy.y = - shd - xy.y; /* bottom segment, shift down and reflect y */
+          if ( (lp.lam < (0.75 * M_PI)) && (lp.lam >= ( 0.25 * M_PI ))) xy.x = shd - xy.x; /* right segment, shift right and reflect x */
+          if (lp.lam >= (0.75 * M_PI)) xy.y = shd - xy.y; /* top right segment, shift up and reflect y */
+        }
+      }
+
+      /* For square types rotate xy by 45 deg */
+      if( Q->pqtype == PEIRCE_Q_SQUARE ) {
+            const double temp = xy.x;
+            xy.x = RSQRT2 * (xy.x - xy.y);
+            xy.y = RSQRT2 * (temp + xy.y);
+      }
+
+      /* For rectangle Quincuncial projs, spin out southern hemisphere to east (horizontal) or north (vertical) after rotation */
+      if( Q->pqtype == PEIRCE_Q_HORIZONTAL ) {
+        if (lp.phi < 0.)  {
+          xy.x = shd - xy.x; /* reflect x to east */
+        }
+        xy.x = xy.x - (shd / 2); /* shift everything so origin is in middle of two hemispheres */
+      }
+      if( Q->pqtype == PEIRCE_Q_VERTICAL ) {
+        if (lp.phi < 0.)  {
+          xy.y = shd - xy.y; /* reflect y to north */
+        }
+        xy.y = xy.y - (shd / 2); /* shift everything so origin is in middle of two hemispheres */
+      }
+
+      //if o_scrollx param present, scroll x
+      if (!(Q->scrollx == 0.0) && (Q->pqtype == PEIRCE_Q_HORIZONTAL) ) {
+        double xscale = 2.0;
+        double xthresh = shd / 2;
+        xy.x = xy.x + (Q->scrollx * (xthresh * 2 * xscale)); /*shift relative to proj width*/
+        if(xy.x >= (xthresh * xscale)) {
+          xy.x = xy.x - (shd * xscale);
+        }
+        else if (xy.x < -(xthresh * xscale)) {
+          xy.x = xy.x + (shd * xscale);
+        }
+      }
+
+      //if o_scrolly param present, scroll y
+      if (!(Q->scrolly == 0.0) && (Q->pqtype == PEIRCE_Q_VERTICAL)) {
+        double yscale = 2.0;
+        double ythresh = shd / 2;
+        xy.y = xy.y + (Q->scrolly * (ythresh * 2 * yscale)); /*shift relative to proj height*/
+        if(xy.y >= (ythresh * yscale)) {
+          xy.y = xy.y - (shd * yscale);
+        }
+        else if (xy.y < -(ythresh * yscale)) {
+          xy.y = xy.y + (shd * yscale);
+        }
+      }
+
+  }
+
+    if (Q->mode == ADAMS_HEMI || Q->mode == ADAMS_WS2 ) { /* rotate by 45deg. */
         const double temp = xy.x;
         xy.x = RSQRT2 * (xy.x - xy.y);
         xy.y = RSQRT2 * (temp + xy.y);
@@ -218,6 +315,55 @@ static PJ *setup(PJ *P, projection_type mode) {
     if( mode == ADAMS_WS2 )
         P->inv = adams_inverse;
 
+    if( mode == PEIRCE_Q) {
+      // Quincuncial projections type options: square, diamond, hemisphere, horizontal (rectangle) or vertical (rectangle)
+      const char* pqtype = pj_param (P->ctx, P->params, "stype").s;
+
+      if (!pqtype) pqtype = "diamond"; /* default if type value not supplied */
+
+      if (strcmp(pqtype, "square") == 0) {
+        Q->pqtype = PEIRCE_Q_SQUARE;
+      }
+      else if (strcmp(pqtype, "diamond") == 0) {
+        Q->pqtype = PEIRCE_Q_DIAMOND;
+      }
+      else if (strcmp(pqtype, "nhemisphere") == 0) {
+        Q->pqtype = PEIRCE_Q_NHEMISPHERE;
+      }
+      else if (strcmp(pqtype, "shemisphere") == 0) {
+        Q->pqtype = PEIRCE_Q_SHEMISPHERE;
+      }
+      else if (strcmp(pqtype, "horizontal") == 0) {
+        Q->pqtype = PEIRCE_Q_HORIZONTAL;
+        if (pj_param(P->ctx, P->params, "tscrollx").i) {
+          double scrollx;
+          scrollx = pj_param(P->ctx, P->params, "dscrollx").f;
+          if (scrollx > 1 || scrollx < -1) {
+              proj_log_error(P, _("Invalid value for scrollx: |scrollx| should between -1 and 1"));
+              return pj_default_destructor (P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
+          }
+          Q->scrollx = scrollx;
+        }
+      }
+      else if (strcmp(pqtype, "vertical") == 0) {
+        Q->pqtype = PEIRCE_Q_VERTICAL;
+        if (pj_param(P->ctx, P->params, "tscrolly").i) {
+          double scrolly;
+          scrolly = pj_param(P->ctx, P->params, "dscrolly").f;
+          if (scrolly > 1 || scrolly < -1) {
+              proj_log_error(P, _("Invalid value for scrolly: |scrolly| should between -1 and 1"));
+              return pj_default_destructor (P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
+          }
+          Q->scrolly = scrolly;
+        }
+      }
+      else {
+            proj_log_error (P, _("peirce_q: invalid value for 'type' parameter"));
+            return pj_default_destructor (P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
+      }
+
+    }
+
     return P;
 }
 
diff --git a/test/gie/peirce_q.gie b/test/gie/peirce_q.gie
index 6e3e5aa8..713d2581 100644
--- a/test/gie/peirce_q.gie
+++ b/test/gie/peirce_q.gie
@@ -1,1184 +1,1008 @@
 <gie-strict>
 ------------------------------------------------------------
-# This gie file was automatically generated using libproject
-# where the peirce_q code was adapted from
+# This gie file was originally automatically generated using libproject
+# from where the peirce_q code was adapted
 ------------------------------------------------------------
 
 ------------------------------------------------------------
-operation  +proj=peirce_q +R=6370997
-tolerance  1 mm
+# These test values were selected from 60 points
+# based on the from the original libproj test. Note that
+# Peirce_q distances include considerable distortion away
+# from axes, a feature of the projection to allow
+# tesselation but means that there is no uniform scale
+# across the coordinate space, so tolerance can be high.
 ------------------------------------------------------------
-accept    -179.6126302052  -90.2440064745
-expect    failure errno coord_transfm_invalid_coord
 
-accept    -169.8486692749  -89.5742075028
-expect    failure errno coord_transfm_outside_projection_domain
-
-accept      0.8029310185    0.0770204080
-expect        126271.599   -11800190.331
-
-accept     10.4039225583    0.4678017615
-expect       1654342.902   -11736218.953
-
-accept     20.1885538890    0.6609073519
-expect       3318491.908   -11693237.489
-
-accept     30.1473858039    1.3709510608
-expect       5289002.508   -11506346.346
-
-accept     40.7606589378    1.9578421427
-expect       8258689.000   -11029960.786
-
-accept     50.1092944931    2.8010900055
-expect      10801034.365    -7875011.311
-
-accept     60.5676526817    3.7028946306
-expect      11007593.043    -5094809.219
-
-accept     70.5968539480    4.3245439293
-expect      11044064.999    -3155211.535
-
-accept     80.4881718070    5.0780710013
-expect      10992465.900    -1497326.929
-
-accept     90.6645971194    5.3926299181
-expect      10965428.366      103595.479
-
-accept     100.5335887669    5.8542606324
-expect      10861672.750     1657001.733
-
-accept     110.9291972459    6.2990280991
-expect      10672196.470     3397952.514
-
-accept     120.0790491477    7.0823311491
-expect      10270637.377     5120872.514
-
-accept     130.3329625769    7.3412132458
-expect       9412638.590     7463993.084
-
-accept     140.2549860329    7.4626803389
-expect       7301822.893     9458937.708
-
-accept     150.0537093567    7.9179476654
-expect       5057117.946    10104054.363
-
-accept     160.1405976425    8.6930315989
-expect       3165304.159    10271134.317
-
-accept     170.2079322950    9.0062758655
-expect       1515310.400    10361296.943
-
-accept     180.5993739938    9.5803022433
-expect        -91680.822    10312510.221
-
-accept    -179.5577512797    0.2591595800
-expect        -69545.033    11771548.346
-
-accept    -169.0227750031    0.3652463080
-expect      -1747811.246    11752665.519
-
-accept    -159.4376727529    0.7656104980
-expect      -3385798.037    11673600.792
-
-accept    -149.2741657967    1.5491463064
-expect      -5417070.815    11460389.467
-
-accept    -139.2711616992    1.8500491429
-expect      -8255261.505    11073725.178
-
-accept    -129.3330823067    2.6349927389
-expect     -10900448.656     7701699.509
-
-accept    -119.5082504931    3.4994609966
-expect     -11049671.017     5115598.247
-
-accept    -109.2931439911    3.6891057402
-expect     -11157453.002     3142053.555
-
-accept    -99.8407407848    4.1824893773
-expect     -11135325.617     1554226.249
-
-accept    -89.5669975127    4.9365585696
-expect     -11036926.334      -67589.940
-
-accept    -79.5218750034    4.9495009225
-expect     -11008316.880    -1653309.320
-
-accept    -69.0168831389    5.5894909216
-expect     -10798379.334    -3419143.193
-
-accept    -59.5599704846    5.8102085739
-expect     -10524988.311    -5247375.061
-
-accept    -49.7454924868    6.6679091876
-expect      -9596577.593    -7534942.461
-
-accept    -39.1852204464    7.0588604257
-expect      -7211414.638    -9628508.756
-
-accept    -29.7368984206    7.6291996199
-expect      -5027469.369   -10172303.878
-
-accept    -19.6981623325    8.4709189271
-expect      -3142233.466   -10312940.882
-
-accept     -9.2523426445    8.6051784068
-expect      -1433665.109   -10429544.751
-
-accept      0.6764042311    8.9497659877
-expect        103827.129   -10410372.228
-
-accept     10.7411038686    9.0297941157
-expect       1664839.604   -10348985.920
-
-accept     20.1574157681    9.9126164170
-expect       3188740.887   -10053595.505
-
-accept     30.0309404035   10.0651957141
-expect       4967385.825    -9669471.351
-
-accept     40.3981563078   10.3501936528
-expect       7068306.094    -8709880.163
-
-accept     50.6817570577   10.8979194189
-expect       8731644.600    -6774700.815
-
-accept     60.7819505599   10.9392498771
-expect       9542720.153    -4766323.985
-
-accept     70.7869347176   11.6964370985
-expect       9772713.206    -2986601.820
-
-accept     80.8676335305   12.3308253723
-expect       9841995.189    -1380803.182
-
-accept     90.1450864953   13.2267538054
-expect       9750200.723       21650.628
-
-accept     100.0952013246   13.4725079963
-expect       9652290.513     1514624.402
-
-accept     110.4538378192   14.1945360587
-expect       9319976.065     3117143.786
-
-accept     120.6865382639   14.5625552153
-expect       8784974.891     4814101.092
-
-accept     130.9357836469   15.4954722296
-expect       7670308.594     6488531.467
-
-accept     140.6164343058   16.4954338025
-expect       6115462.077     7683228.346
-
-accept     150.3163052109   17.2964708014
-expect       4464659.921     8373811.114
-
-accept     160.5644471707   18.0174909521
-expect       2830599.888     8731770.401
-
-accept     170.1193723592   18.2944971001
-expect       1414584.294     8910361.466
-
-accept     180.0665468289   18.7754264157
-expect         -9431.378     8909235.014
-
-accept    -179.2400553700   10.6370048371
-expect       -115504.609    10148725.712
-
-accept    -169.7015902178   11.3909498307
-expect      -1570759.602     9977579.851
-
-accept    -159.7035003507   11.7525027269
-expect      -3164508.125     9735067.908
-
-accept    -149.8107451818   12.6584112496
-expect      -4847832.664     9164279.540
-
-accept    -139.3507442923   13.2418770616
-expect      -6731168.845     8104988.746
-
-accept    -129.2846798895   14.0852637093
-expect      -8115614.318     6381977.261
-
-accept    -119.7227618352   14.2270947133
-expect      -8905390.171     4668150.014
-
-accept    -109.0777673038   15.0423112384
-expect      -9221792.069     2871571.847
-
-accept    -99.5163365964   15.7772026395
-expect      -9301350.620     1397516.441
-
-accept    -89.3503538671   16.5516951824
-expect      -9243569.563      -94181.125
-
-accept    -79.8142429694   17.2425868932
-expect      -9066653.641    -1475220.157
-
-accept    -69.0665222592   18.1714295426
-expect      -8655499.864    -3051697.072
-
-accept    -59.0064692740   18.3748306195
-expect      -8107550.213    -4598502.136
-
-accept    -49.1979879081   18.9971582481
-expect      -7124905.684    -6037259.461
-
-accept    -39.0745211306   19.5805859744
-expect      -5721211.186    -7221425.772
-
-accept    -29.7307700275   20.0409012995
-expect      -4287878.187    -7920272.663
-
-accept    -19.4645612052   20.5263059305
-expect      -2745430.102    -8337657.721
-
-accept     -9.9280602370   20.6969136713
-expect      -1382528.623    -8546466.605
-
-accept      0.9738128835   21.3362427076
-expect        134047.879    -8527599.883
-
-accept     10.9751112570   22.1428651256
-expect       1502024.802    -8312633.579
-
-accept     20.9770606594   22.6207315066
-expect       2878258.867    -7961118.457
-
-accept     30.0181234252   22.8191803924
-expect       4137578.520    -7468872.027
-
-accept     40.1623307346   23.4343700311
-expect       5449679.289    -6550855.202
-
-accept     50.6903720127   23.7323985408
-expect       6592452.063    -5310034.806
-
-accept     60.8882210835   24.6809154242
-expect       7247127.602    -3885824.644
-
-accept     70.6217499143   24.7399205434
-expect       7703350.619    -2572585.693
-
-accept     80.1466494296   25.5574002683
-expect       7830124.449    -1286002.231
-
-accept     90.8041528679   26.2538798685
-expect       7810710.864      103717.876
-
-accept     100.9258403016   26.3115620306
-expect       7701744.206     1410810.991
-
-accept     110.6938365336   26.8636801269
-expect       7343510.853     2657916.573
-
-accept     120.2460911467   27.6842940318
-expect       6745332.030     3825132.508
-
-accept     130.0223801851   28.1211698891
-expect       5947300.609     4945558.006
-
-accept     140.5157157401   28.3236296672
-expect       4865533.278     5968952.198
-
-accept     150.7787840919   29.1891500860
-expect       3596413.025     6598522.874
-
-accept     160.9572505276   29.4317787696
-expect       2342517.218     7037712.044
-
-accept     170.1050144369   30.0759718416
-expect       1204135.469     7183554.454
-
-accept     180.4341349002   30.2507520934
-expect        -52666.979     7243010.150
-
-accept    -179.2164407005   20.2364122673
-expect       -109262.930     8690861.635
-
-accept    -169.3929922603   20.7766977704
-expect      -1476453.320     8523407.491
-
-accept    -159.9577803834   20.8318227446
-expect      -2817460.317     8270094.129
-
-accept    -149.2134319065   21.8166726652
-expect      -4317906.418     7571748.126
-
-accept    -139.2333298599   22.1519052827
-expect      -5668271.133     6667971.586
-
-accept    -129.4434415015   22.4927434202
-expect      -6753666.072     5457869.325
-
-accept    -119.3208025384   22.7362632693
-expect      -7525686.000     4045478.411
-
-accept    -109.4860788671   23.3718602628
-expect      -7903342.747     2640717.241
-
-accept    -99.8216948913   23.5992467484
-expect      -8116891.843     1317511.955
-
-accept    -89.8619593059   24.2963143647
-expect      -8094338.981      -18296.505
-
-accept    -79.7398896740   25.1613353713
-expect      -7880761.153    -1346962.896
-
-accept    -69.1226449610   25.4941314107
-expect      -7536009.009    -2741494.291
-
-accept    -59.6667490752   25.5114201387
-expect      -7049226.182    -3990150.886
-
-accept    -49.8155768605   25.9052273257
-expect      -6216998.209    -5190708.061
-
-accept    -39.9338589810   26.7533535272
-expect      -5074077.312    -6129805.940
-
-accept    -29.3707059847   27.1227181201
-expect      -3754506.006    -6878273.643
-
-accept    -19.7965608231   27.5566434582
-expect      -2513414.732    -7277524.287
-
-accept     -9.1337497784   28.3802002164
-expect      -1142181.584    -7436067.683
-
-accept      0.4266125912   29.1903154482
-expect         52639.797    -7392420.091
-
-accept     10.6518749594   29.9266493204
-expect       1299475.809    -7191036.438
-
-accept     20.8234426132   30.8944028559
-expect       2495627.426    -6767707.811
-
-accept     30.2386622340   31.6612396237
-expect       3545650.403    -6205050.228
-
-accept     40.2185271171   31.9934448616
-expect       4585283.766    -5458969.862
-
-accept     50.3754306995   32.9690383763
-expect       5391831.205    -4433626.042
-
-accept     60.5969838604   33.1506719100
-expect       6057636.800    -3351546.520
-
-accept     70.7010584744   33.3808841132
-expect       6482471.065    -2211297.612
-
-accept     80.6563771031   33.4591522299
-expect       6722418.070    -1072701.243
-
-accept     90.9385497238   33.7836031774
-expect       6751586.253      107207.933
-
-accept     100.2589551079   33.8952203703
-expect       6647180.765     1168329.029
-
-accept     110.6618571451   33.9250102053
-expect       6360025.253     2341140.991
-
-accept     120.1034867747   34.2795045114
-expect       5872511.155     3350516.784
-
-accept     130.9974936159   34.7148416244
-expect       5083818.214     4399379.777
-
-accept     140.3808086417   35.2982413100
-expect       4217488.106     5123331.565
-
-accept     150.1864429686   35.9121152797
-expect       3210016.283     5681585.841
-
-accept     160.2783533851   36.0061960010
-expect       2147425.311     6116063.058
-
-accept     170.3464094109   36.6597991365
-expect       1043903.568     6282557.707
-
-accept     180.6366259482   36.7021344698
-expect        -68897.179     6354475.491
-
-accept    -179.5125231908   30.9027583128
-expect        -58509.713     7151582.363
-
-accept    -169.6858002252   31.0300863637
-expect      -1235278.074     7042426.851
-
-accept    -159.9447845353   31.4526202308
-expect      -2380175.277     6719379.042
-
-accept    -149.0439552623   31.7366648793
-expect      -3620770.291     6152099.632
-
-accept    -139.5056340183   31.8012708387
-expect      -4631485.190     5458946.018
-
-accept    -129.1158727941   32.0798256007
-expect      -5537372.543     4465988.909
-
-accept    -119.6490604754   32.1840354536
-expect      -6170391.770     3443730.581
-
-accept    -109.4423793788   32.2222541247
-expect      -6635535.801     2275928.750
-
-accept    -99.0285922562   33.1529866712
-expect      -6769509.574     1042275.666
-
-accept    -89.5622487446   33.4278348335
-expect      -6801118.316      -50320.306
-
-accept    -79.4265839032   34.3479907621
-expect      -6579677.966    -1194109.216
-
-accept    -69.4889301726   35.0877626174
-expect      -6209979.238    -2272643.823
-
-accept    -59.1224902397   36.0136675285
-expect      -5610071.698    -3310797.555
-
-accept    -49.9367534943   36.4567184703
-expect      -4960199.281    -4152070.178
-
-accept    -39.4111372677   37.0505802027
-expect      -4040232.233    -4941261.801
-
-accept    -29.3713144594   37.9274621353
-expect      -3032770.817    -5454124.499
-
-accept    -19.5668135476   38.3685655493
-expect      -2031003.306    -5811910.007
-
-accept     -9.7491233344   38.9378701453
-expect      -1007442.076    -5977360.650
-
-accept      0.8622031889   39.4415703876
-expect         88379.557    -5987528.789
-
-accept     10.0117830535   39.4704924350
-expect       1023185.907    -5902808.656
-
-accept     20.8516713156   40.3217300172
-expect       2073159.738    -5518046.723
-
-accept     30.1881462885   41.1649305124
-expect       2896422.920    -5021679.548
-
-accept     40.6158017067   41.2668869361
-expect       3766423.497    -4403538.963
-
-accept     50.6663962436   41.8145718714
-expect       4429299.118    -3617969.405
-
-accept     60.8020204949   41.8507425013
-expect       4988392.263    -2764143.928
-
-accept     70.5520292152   42.4076257440
-expect       5300632.954    -1849767.020
-
-accept     80.2059801656   42.7150670786
-expect       5483358.618     -933723.700
-
-accept     90.9659016052   43.4387731582
-expect       5463216.808       90877.306
-
-accept     100.1869388806   44.4281083880
-expect       5257677.840      933928.941
-
-accept     110.4394817223   45.3719572658
-expect       4903233.647     1811728.300
-
-accept     120.9482259904   46.3095671501
-expect       4392824.940     2621137.908
-
-accept     130.8162258489   46.8389002757
-expect       3825642.666     3299310.225
-
-accept     140.6210873096   47.4683887790
-expect       3149600.783     3844247.382
-
-accept     150.4305142921   48.1544601382
-expect       2398348.504     4245827.810
-
-accept     160.8877492450   48.6878394728
-expect       1563162.264     4539717.762
-
-accept     170.7272348106   48.7392462477
-expect        766085.879     4727784.808
-
-accept     180.9065664436   49.6442456075
-expect        -73421.121     4673519.924
-
-accept    -179.0794197048   40.3989805398
-expect        -92512.389     5860742.149
-
-accept    -169.4347697573   40.6507113252
-expect      -1053024.009     5738799.953
-
-accept    -159.4336382957   41.4726138590
-expect      -1994505.462     5382315.906
-
-accept    -149.6845924429   42.1755846206
-expect      -2841003.576     4896393.947
-
-accept    -139.0824916301   42.6819151060
-expect      -3664971.849     4237445.141
-
-accept    -129.0754320784   43.3229738638
-expect      -4286625.073     3470462.740
-
-accept    -119.2393735583   43.6370260969
-expect      -4776350.502     2654742.877
-
-accept    -109.3217038272   44.4666565583
-expect      -5048023.210     1752892.319
-
-accept    -99.3255098753   44.7679817789
-expect      -5227047.233      848726.253
-
-accept    -89.7764730312   45.5018898713
-expect      -5198172.967      -20057.012
-
-accept    -79.5353334709   45.7685962964
-expect      -5083288.033     -929467.139
-
-accept    -69.0718810032   45.9838493795
-expect      -4813750.233    -1826309.761
-
-accept    -59.3556493684   46.0125094250
-expect      -4440005.038    -2616877.222
-
-accept    -49.2142158210   46.6634604652
-expect      -3844757.644    -3312112.227
-
-accept    -39.3062403768   47.4174427736
-expect      -3148819.924    -3853377.045
-
-accept    -29.4049522923   47.6072813039
-expect      -2419917.121    -4314138.067
-
-accept    -19.1482774338   47.9956412106
-expect      -1594003.361    -4622071.070
-
-accept     -9.1315568223   48.1278660203
-expect       -766275.709    -4805818.808
-
-accept      0.4153859078   48.1462235111
-expect         34953.283    -4862098.365
-
-accept     10.8599902732   48.7053238375
-expect        896852.544    -4709769.158
-
-accept     20.9936732297   49.5975055054
-expect       1671396.890    -4379391.192
-
-accept     30.4256590453   50.1878385263
-expect       2332889.636    -3985666.678
-
-accept     40.4931194144   50.8780272780
-expect       2942688.712    -3449767.113
-
-accept     50.7741734827   51.3599500746
-expect       3467071.513    -2826820.123
-
-accept     60.2781061695   51.6118224546
-expect       3857758.290    -2195773.442
-
-accept     70.7654997102   52.0878142710
-expect       4132816.981    -1435722.452
-
-accept     80.1701221530   52.5801462136
-expect       4248321.221     -732473.837
-
-accept     90.5420449691   53.1991574600
-expect       4233452.675       39857.221
-
-accept     100.2760613062   53.7141154417
-expect       4105319.956      741098.122
-
-accept     110.0218216002   54.0611681921
-expect       3883623.020     1410411.877
-
-accept     120.4032139940   54.3299171566
-expect       3539729.318     2072655.595
-
-accept     130.8767418931   55.0564101319
-expect       3036123.582     2626326.412
-
-accept     140.5226584521   55.6173050886
-expect       2507420.872     3046348.705
-
-accept     150.2494873799   55.7484095137
-expect       1946440.957     3411755.995
-
-accept     160.1667453237   56.2439007664
-expect       1308431.839     3637178.225
-
-accept     170.5406153511   56.2807888374
-expect        632249.754     3806788.257
-
-accept     180.9484142577   56.5920285675
-expect        -63036.610     3820143.972
-
-accept    -179.8252105152   50.3122605835
-expect        -13910.692     4590658.048
-
-accept    -169.6875500931   50.9229084511
-expect       -803908.829     4444321.084
-
-accept    -159.5136874408   51.7696653393
-expect      -1539333.953     4138130.676
-
-accept    -149.1254486900   51.9570206249
-expect      -2251472.296     3775880.229
-
-accept    -139.1605927481   52.9408405178
-expect      -2795016.998     3235944.059
-
-accept    -129.7287317001   53.4367920050
-expect      -3242194.395     2692101.735
-
-accept    -119.9649423621   53.9443264874
-expect      -3596671.668     2068926.558
-
-accept    -109.5630693489   53.9819580222
-expect      -3903827.825     1382457.577
-
-accept    -99.8817875863   54.7649176797
-expect      -3983584.837      691301.160
-
-accept    -89.1784274626   54.9368914952
-expect      -4020855.915      -57431.650
-
-accept    -79.2765579469   55.0727576338
-expect      -3936307.809     -742737.145
-
-accept    -69.6805389128   55.6355837510
-expect      -3695500.920    -1364642.398
-
-accept    -59.5021094291   56.4588884339
-expect      -3311443.580    -1947296.263
-
-accept    -49.2808341846   57.3212148180
-expect      -2833756.712    -2437986.588
-
-accept    -39.1586656817   57.5436725826
-expect      -2342646.461    -2878283.894
-
-accept    -29.4523014888   58.0001641759
-expect      -1795171.307    -3183582.226
-
-accept    -19.9277171335   58.4194386263
-expect      -1225852.149    -3387913.589
-
-accept     -9.5806844723   59.2077113032
-expect       -582500.754    -3458515.175
-
-accept      0.3977305045   60.1379071414
-expect         23526.790    -3395981.697
-
-accept     10.2918128158   60.8071435604
-expect        591643.026    -3263854.009
-
-accept     20.4193595919   61.6254420080
-expect       1122557.290    -3019076.246
-
-accept     30.6366859975   62.1797037299
-expect       1607593.420    -2716291.317
-
-accept     40.9088626798   63.0703152560
-expect       1998265.629    -2306572.562
-
-accept     50.4300990955   63.6142160066
-expect       2303336.285    -1903014.203
-
-accept     60.1622816747   64.5088625068
-expect       2500763.218    -1433628.689
-
-accept     70.9921360313   64.7758684697
-expect       2695599.132     -927850.065
-
-accept     80.8073249468   65.2990657211
-expect       2753685.107     -445250.152
-
-accept     90.2712457666   65.7543439665
-expect       2736344.656       12943.301
-
-accept     100.7483383521   66.3935053815
-expect       2615679.673      496171.728
-
-accept     110.6705840721   67.2436586937
-expect       2399213.345      904734.128
-
-accept     120.6655900290   67.6765888459
-expect       2162894.489     1282103.313
-
-accept     130.1492662162   67.9026862604
-expect       1902102.582     1604359.059
-
-accept     140.3856862091   68.7446662625
-expect       1524612.577     1842173.731
-
-accept     150.1458413829   69.0204664285
-expect       1174271.230     2046391.753
-
-accept     160.7850402383   69.0482697319
-expect        775129.314     2224812.839
-
-accept     170.8246011181   69.6254738131
-expect        364941.747     2260258.690
-
-accept     180.4518823138   70.5965270071
-expect        -17173.378     2178172.598
-
-accept    -179.9876986310   60.6091111079
-expect          -715.774     3340139.049
-
-accept    -169.8532628530   61.4875679720
-expect       -569311.790     3186036.303
-
-accept    -159.1232601685   61.9472442128
-expect      -1133148.246     2974496.072
-
-accept    -149.3842684566   62.4000932078
-expect      -1593380.590     2694462.326
-
-accept    -139.8796959182   63.2514603859
-expect      -1952550.194     2317564.131
-
-accept    -129.5642582380   64.2450799838
-expect      -2246445.234     1855678.711
-
-accept    -119.2337815198   65.0009618130
-expect      -2465513.912     1379139.865
-
-accept    -109.7691071522   65.4874639890
-expect      -2604974.017      935619.128
-
-accept    -99.3676723769   65.7146786293
-expect      -2704608.647      445815.650
-
-accept    -89.9457798009   66.6243783750
-expect      -2635429.616       -2492.139
-
-accept    -79.6828211596   66.6930768940
-expect      -2585162.560     -470286.026
-
-accept    -69.3873523407   67.2180865776
-expect      -2402895.218     -903346.503
-
-accept    -59.6906523151   67.7550940411
-expect      -2162985.293    -1264049.139
-
-accept    -49.3101326045   68.5959116878
-expect      -1826219.494    -1570114.574
-
-accept    -39.0040378634   69.1320184757
-expect      -1476840.856    -1823658.182
-
-accept    -29.4940260301   69.3047039200
-expect      -1145303.021    -2025272.774
-
-accept    -19.1515872064   69.5377941701
-expect       -754245.420    -2172528.145
-
-accept     -9.0637893779   69.8408771013
-expect       -356654.693    -2236564.590
-
-accept      0.5515373299   70.0447905489
-expect         21567.521    -2241303.982
-
-accept     10.1700921734   70.6028677464
-expect        384374.744    -2143367.053
-
-accept     20.7317527805   71.2517449744
-expect        744477.291    -1967342.463
-
-accept     30.9044361009   71.9788550294
-expect       1037711.852    -1733792.649
-
-accept     40.2486033983   72.2783477062
-expect       1283478.115    -1516239.657
-
-accept     50.4061071436   73.2593092255
-expect       1444796.717    -1194938.407
-
-accept     60.5223542382   74.0594072923
-expect       1553145.054     -877857.888
-
-accept     70.5247783397   74.2344245414
-expect       1663267.456     -588117.346
-
-accept     80.8931788778   74.8817087175
-expect       1669547.857     -267590.611
-
-accept     90.1609932467   75.2058107438
-expect       1654185.439        4647.518
-
-accept     100.3674890573   75.3663491908
-expect       1609351.610      294397.550
-
-accept     110.0039646264   75.5835412853
-expect       1514328.280      551245.928
-
-accept     120.0632009934   76.1256853382
-expect       1341803.754      776631.615
-
-accept     130.2142100689   76.3411285668
-expect       1165360.969      985288.439
-
-accept     140.5198242090   76.9957223877
-expect        923363.299     1120933.679
-
-accept     150.0340680138   77.5942825866
-expect        691710.450     1199757.983
-
-accept     160.9706746004   78.3364607392
-expect        424317.587     1230303.917
-
-accept     170.0816362419   79.0913184910
-expect        209556.904     1198476.280
-
-accept     180.3978079476   79.2045699717
-expect         -8358.768     1203921.718
-
-accept    -179.2332724818   70.8217746040
-expect        -28794.102     2152288.771
-
-accept    -169.5176471284   71.1203473182
-expect       -385300.560     2083069.218
-
-accept    -159.9563893280   71.5181717183
-expect       -710378.634     1947553.989
-
-accept    -149.0505215958   71.5881068470
-expect      -1061988.104     1771210.577
-
-accept    -139.1100287608   72.5807306253
-expect      -1277834.987     1475741.385
-
-accept    -129.9709382253   73.2388486277
-expect      -1438683.111     1205915.797
-
-accept    -119.6844932150   73.8160145972
-expect      -1573951.284      897126.809
-
-accept    -109.8345424025   73.8347251512
-expect      -1702179.619      613905.025
-
-accept    -99.2835557046   74.0204664516
-expect      -1764976.830      288463.510
-
-accept    -89.2216597269   74.5188445720
-expect      -1731756.190      -23523.456
-
-accept    -79.7589672970   75.0775591038
-expect      -1642126.088     -296646.706
-
-accept    -69.0878388988   75.7810900644
-expect      -1484559.295     -567218.284
-
-accept    -59.3247479059   76.5851745566
-expect      -1288854.484     -764485.021
-
-accept    -49.7332410095   76.8525626993
-expect      -1120459.070     -949090.375
-
-accept    -39.7902268868   77.0657936158
-expect       -924365.019    -1109855.476
-
-accept    -29.5786392941   77.4214739702
-expect       -693182.417    -1221318.529
-
-accept    -19.7666667754   78.0413206451
-expect       -451330.570    -1255957.457
-
-accept     -9.6576498712   78.3724141539
-expect       -217639.667    -1278987.496
-
-accept      0.2731990430   79.0490755914
-expect          5823.674    -1221382.922
-
-accept     10.9115419099   79.7152157770
-expect        217055.691    -1125960.003
-
-accept     20.6686695701   80.2190912972
-expect        384807.532    -1020066.488
-
-accept     30.7420972758   80.5901686038
-expect        536058.050     -901323.330
-
-accept     40.1587481091   80.8732058507
-expect        655875.165     -777259.989
-
-accept     50.1425480782   81.1493341375
-expect        756982.361     -631979.343
-
-accept     60.0418495746   81.7235540513
-expect        798729.196     -460366.461
-
-accept     70.9517084975   81.7646094071
-expect        867084.737     -299376.406
-
-accept     80.2673626123   82.0774651726
-expect        869650.853     -149160.761
-
-accept     90.1847984189   82.9573597164
-expect        784087.778        2528.945
-
-accept     100.2900049661   82.9758741105
-expect        769447.863      139692.984
-
-accept     110.4406311958   83.6703375043
-expect        660181.036      246051.497
-
-accept     120.0306342887   84.1458591355
-expect        564056.734      326060.104
-
-accept     130.8429657164   84.7838043163
-expect        439087.136      379584.726
-
-accept     140.6238695736   85.0584267328
-expect        348809.612      425008.756
-
-accept     150.8488588999   85.8764976286
-expect        223444.702      400609.153
-
-accept     160.0892658295   86.6749495622
-expect        125948.505      347725.418
-
-accept     170.3972098164   87.6222109978
-expect         44112.341      260730.618
-
-accept     180.8251491673   88.1624187726
-expect         -2942.818      204325.951
-
-accept    -179.6781897656   80.2037554010
-expect         -6132.922     1091930.449
-
-accept    -169.7457470308   80.8291135169
-expect       -181918.689     1005612.756
-
-accept    -159.0356668575   81.1080880332
-expect       -354464.518      925142.572
-
-accept    -149.1801567104   81.9039079110
-expect       -461999.277      774404.752
-
-accept    -139.9441274111   81.9375301219
-expect       -577886.620      687337.291
-
-accept    -129.0389509286   82.0450858330
-expect       -688150.306      558027.079
-
-accept    -119.8816416620   82.4716641364
-expect       -726871.074      417657.990
-
-accept    -109.1075270009   83.1137986376
-expect       -724396.500      250950.336
-
-accept    -99.9257499180   83.4566939283
-expect       -717471.083      125550.545
-
-accept    -89.0573293217   84.4434879006
-expect       -618256.359      -10172.886
-
-accept    -79.5929376881   85.3043180275
-expect       -513833.791      -94371.521
-
-accept    -69.5559477498   86.1396663773
-expect       -402364.746     -149990.300
-
-accept    -59.8534622821   86.5475878933
-expect       -332067.478     -192853.274
-
-accept    -49.2576732486   87.1201530883
-expect       -242669.763     -209041.019
-
-accept    -39.2971859805   87.7263086098
-expect       -160144.563     -195678.032
-
-accept    -29.0813763037   87.9348644439
-expect       -111625.270     -200704.524
-
-accept    -19.4396463843   88.0342289982
-expect        -72754.782     -206143.007
-
-accept     -9.7516556210   88.1219978123
-expect        -35373.393     -205825.391
-
-accept      0.1013548430   88.3489971789
-expect           324.776     -183595.480
-
-accept     10.5287559337   88.4377558420
-expect         31744.468     -170799.377
-
-accept     20.4860411777   89.2164911270
-expect         30491.422      -81613.623
-
-accept     30.5303411995   89.7622494101
-expect         13429.693      -22771.512
-
-accept     40.0593735791   90.6542378643
-expect    failure errno coord_transfm_invalid_coord
-
-accept     50.0020623503   91.1469954761
-expect    failure errno coord_transfm_invalid_coord
-
-accept     60.8522213793   91.6903429214
-expect    failure errno coord_transfm_invalid_coord
-
-accept     70.7535252886   92.4836618501
-expect    failure errno coord_transfm_invalid_coord
-
-accept     80.1051275124   92.9389937571
-expect    failure errno coord_transfm_invalid_coord
-
-accept     90.4124853570   93.5341249190
-expect    failure errno coord_transfm_invalid_coord
-
-accept     100.7024119502   93.5550590372
-expect    failure errno coord_transfm_invalid_coord
-
-accept     110.8115837786   93.7909664255
-expect    failure errno coord_transfm_invalid_coord
-
-accept     120.6013207533   93.8492870154
-expect    failure errno coord_transfm_invalid_coord
-
-accept     130.7349056594   94.3767135242
-expect    failure errno coord_transfm_invalid_coord
-
-accept     140.9588399299   94.8671896725
-expect    failure errno coord_transfm_invalid_coord
-
-accept     150.0262851842   95.3534968784
-expect    failure errno coord_transfm_invalid_coord
-
-accept     160.4280397748   95.5380581127
-expect    failure errno coord_transfm_invalid_coord
-
-accept     170.7651411492   95.6370520364
-expect    failure errno coord_transfm_invalid_coord
-
-accept     180.0448345846   96.2732937318
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -179.8257499571   89.6174371357
-expect          -129.372       42538.994
-
-accept    -169.2875892301   90.5843674190
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -159.8023916584   91.1545744228
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -149.1639625275   92.0870993705
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -139.8013904331   92.8786158281
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -129.1637359401   92.9919538772
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -119.8393027005   93.1739711428
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -109.3406602631   94.1639584700
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -99.0695417625   95.1551429476
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -89.0610247556   95.6178466298
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -79.4516859556   96.0205106534
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -69.8082104896   96.1879870093
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -59.8296737152   96.7698954045
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -49.8769972300   97.2097042960
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -39.9274760034   97.5295561660
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -29.8470989427   97.6781116960
-expect    failure errno coord_transfm_invalid_coord
-
-accept    -19.4625703588   98.0419802761
-expect    failure errno coord_transfm_invalid_coord
-
-accept     -9.0210837473   98.0868081244
-expect    failure errno coord_transfm_invalid_coord
-
-accept      0.9799321756   98.5464017880
-expect    failure errno coord_transfm_invalid_coord
-
-accept     10.0429624590   98.7459055217
-expect    failure errno coord_transfm_invalid_coord
-
-accept     20.2792585617   99.0223555196
-expect    failure errno coord_transfm_invalid_coord
-
-accept     30.0602725080   100.0053623620
-expect    failure errno coord_transfm_invalid_coord
-
-accept     40.2383571525   100.9390147017
-expect    failure errno coord_transfm_invalid_coord
-
-accept     50.7977119707   101.0770157329
-expect    failure errno coord_transfm_invalid_coord
-
-accept     60.1464549470   101.4743886273
-expect    failure errno coord_transfm_invalid_coord
-
-accept     70.3854313326   101.6912083253
-expect    failure errno coord_transfm_invalid_coord
-
-accept     80.4259639014   102.1177916319
-expect    failure errno coord_transfm_invalid_coord
-
-accept     90.8059360471   102.5951916979
-expect    failure errno coord_transfm_invalid_coord
-
-accept     100.0616865688   102.7748252495
-expect    failure errno coord_transfm_invalid_coord
-
-accept     110.4583416539   103.6248728355
-expect    failure errno coord_transfm_invalid_coord
-
-accept     120.9751205255   103.7983620507
-expect    failure errno coord_transfm_invalid_coord
-
-accept     130.7919815186   104.0148850515
-expect    failure errno coord_transfm_invalid_coord
-
-accept     140.6325380833   104.1792511999
-expect    failure errno coord_transfm_invalid_coord
-
-accept     150.5737064232   105.0050682525
-expect    failure errno coord_transfm_invalid_coord
+------------------------------------------------------------
+operation  +proj=peirce_q +R=6370997 +type=square
+tolerance  10 mm
+------------------------------------------------------------
 
-accept     160.8571448065   105.0125232729
-expect    failure errno coord_transfm_invalid_coord
+accept     -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept     -159.2003712209  -89.5537263306
+expect        -16684778.66	16659858.26
+accept     -139.6233037328  -87.8821294926
+expect        -16686136.62	16470363.98
+accept     -119.6070748182  -86.3003323104
+expect        -16595886.22	-16308355.92
+accept     -99.5789095738  -85.2121814625
+expect        -16396383.18	-16271023.42
+accept     -79.2799350968  -83.8692118030
+expect        -16141287.47	-16320788.59
+accept     -59.1007316490  -82.6429522913
+expect        -15910611.60	-16505541.92
+accept     -39.7694988813  -81.1240616181
+expect        15720298.10	-16614965.01
+accept     -19.4219986373  -80.4596653260
+expect        15746034.38	-16246050.72
+accept       0.0372192405  -79.1830001774
+expect        15852642.31	-15851534.09
+accept      10.8072116146  -78.5286202425
+expect        15985877.10	-15646515.07
+accept      30.6949420481  -77.5251356225
+expect        16361000.46	-15355648.15
+accept      50.8838172783  -77.2075414406
+expect        16558682.76	15284231.71
+accept      70.9123606882  -75.6020670736
+expect        16001764.31	15257501.18
+accept      90.9423960847  -75.1187688922
+expect        15509280.35	15547980.96
+accept      110.1071594840  -74.5087602471
+expect        15133049.74	15975564.05
+accept      130.0104641839  -73.3709657282
+expect        14849947.11	16543126.46
+accept      150.5931126765  -73.1105693985
+expect        -14882991.09	16196524.65
+accept      170.3454770498  -72.3687427114
+expect        -15093352.82	15561916.35
+accept     -179.4283603569  -79.2780817976
+expect        -15868107.22	15851237.11
+accept     -159.6140419013  -78.9064235928
+expect        -16189722.98	15580148.89
+accept     -139.5485387788  -78.1437071317
+expect        -16600189.56	15386190.03
+accept     -119.3040589991  -77.1517896758
+expect        -16316973.21	-15323941.76
+accept     -99.1733290138  -76.2249333909
+expect        -15804208.98	-15457233.95
+accept     -79.5627247417  -75.2438944725
+expect        -15346437.66	-15769094.64
+accept     -59.2065888779  -74.4787205556
+expect        -15021689.81	-16278889.61
+accept     -39.4027491539  -73.6693258790
+expect        14885488.22	-16526762.78
+accept     -19.3829588944  -72.8068670782
+expect        14968262.72	-15872213.73
+accept       0.5951648774  -71.1110965727
+expect        15222108.42	-15190983.68
+accept      10.0089578122  -71.1061903043
+expect        15489314.77	-14968374.05
+accept      30.2470524798  -69.7155529444
+expect        16124447.67	-14500816.44
+accept      50.0855077954  -69.3112248587
+expect        16498844.48	14388231.66
+accept      70.3496352985  -68.4437853274
+expect        15666358.72	14513249.85
+accept      90.4893702644  -66.7652070914
+expect        14837383.82	14868997.15
+accept      110.3952984186  -65.8768496172
+expect        14229937.28	15571030.23
+accept      130.3231133025  -64.8242212878
+expect        13868599.66	16472840.15
+accept      150.8384853690  -63.8483921906
+expect        -13857834.28	15896552.84
+accept      170.7991687984  -62.8345530934
+expect        -14209244.97	14904320.39
+accept      170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept      180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept     -179.2332724818   70.8217746040
+expect        -1542258.49	1501537.48
+accept     -159.9563893280   71.5181717183
+expect        -1879442.18	874815.08
+accept     -139.1100287608   72.5807306253
+expect        -1947072.52	139940.96
+accept     -119.6844932150   73.8160145972
+expect        -1747316.08	-478587.18
+accept     -99.2835557046   74.0204664516
+expect        -1452001.59	-1044052.58
+accept     -79.7589672970   75.0775591038
+expect        -951397.60	-1370919.39
+accept     -59.3247479059   76.5851745566
+expect        -370785.20	-1451930.29
+accept     -39.7902268868   77.0657936158
+expect        131161.56	-1438411.11
+accept     -19.7666667754   78.0413206451
+expect        568957.13	-1207234.94
+accept       0.2731990430   79.0490755914
+expect        867766.11	-859530.19
+accept      10.9115419099   79.7152157770
+expect        949655.50	-642692.40
+accept      30.7420972758   80.5901686038
+expect        1016382.12	-258281.56
+accept      50.1425480782   81.1493341375
+expect        982144.24	88390.48
+accept      70.9517084975   81.7646094071
+expect        824812.58	401430.41
+accept      90.1847984189   82.9573597164
+expect        552645.55	556222.02
+accept      110.4406311958   83.6703375043
+expect        292833.81	640803.17
+accept      130.8429657164   84.7838043163
+expect        42074.56	578888.43
+accept      150.8488588999   85.8764976286
+expect        -125274.18	441272.71
+accept      170.3972098164   87.6222109978
+expect        -153172.25	215556.52
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=diamond
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        -17621.38	23578218.89
+accept      -139.6233037328  -87.8821294926
+expect        -152574.30	23445186.42
+accept      -119.6070748182  -86.3003323104
+expect        -23266812.75	203314.63
+accept      -99.5789095738  -85.2121814625
+expect        -23099344.73	88642.74
+accept      -79.2799350968  -83.8692118030
+expect        -22954154.12	-126926.46
+accept      -59.1007316490  -82.6429522913
+expect        -22921681.97	-420679.26
+accept      -39.7694988813  -81.1240616181
+expect        -632625.04	-22864483.82
+accept      -19.4219986373  -80.4596653260
+expect        -353564.94	-22621820.31
+accept        0.0372192405  -79.1830001774
+expect        783.63	-22418238.13
+accept       10.8072116146  -78.5286202425
+expect        239965.19	-22367479.01
+accept       30.6949420481  -77.5251356225
+expect        710891.44	-22427057.31
+accept       50.8838172783  -77.2075414406
+expect        22516340.76	-901172.98
+accept       70.9123606882  -75.6020670736
+expect        22103638.61	-526273.50
+accept       90.9423960847  -75.1187688922
+expect        21960800.08	27365.47
+accept       110.1071594840  -74.5087602471
+expect        21997111.76	595747.59
+accept       130.0104641839  -73.3709657282
+expect        22198255.20	1197258.60
+accept       150.5931126765  -73.1105693985
+expect        928808.49	21976536.34
+accept       170.3454770498  -72.3687427114
+expect        331324.45	21676548.71
+accept      -179.4283603569  -79.2780817976
+expect        -11928.97	22428963.47
+accept      -159.6140419013  -78.9064235928
+expect        -431033.97	22464691.83
+accept      -139.5485387788  -78.1437071317
+expect        -858427.30	22617785.91
+accept      -119.3040589991  -77.1517896758
+expect        -22373505.54	702179.27
+accept      -99.1733290138  -76.2249333909
+expect        -22105178.28	245348.39
+accept      -79.5627247417  -75.2438944725
+expect        -22002003.89	-298863.61
+accept      -59.2065888779  -74.4787205556
+expect        -22132851.96	-888974.50
+accept      -39.4027491539  -73.6693258790
+expect        -1160556.37	-22211815.70
+accept      -19.3829588944  -72.8068670782
+expect        -639189.89	-21807510.03
+accept        0.5951648774  -71.1110965727
+expect        22008.52	-21505303.66
+accept       10.0089578122  -71.1061903043
+expect        368360.71	-21536838.30
+accept       30.2470524798  -69.7155529444
+expect        1148080.66	-21655331.93
+accept       50.0855077954  -69.3112248587
+expect        21840460.99	-1492428.63
+accept       70.3496352985  -68.4437853274
+expect        21340205.88	-815371.10
+accept       90.4893702644  -66.7652070914
+expect        21005583.43	22354.00
+accept       110.3952984186  -65.8768496172
+expect        21072466.21	948295.92
+accept       130.3231133025  -64.8242212878
+expect        21454637.84	1841476.11
+accept       150.8384853690  -63.8483921906
+expect        1441591.72	21039528.90
+accept       170.7991687984  -62.8345530934
+expect        491492.54	20586399.49
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        -28794.10	2152288.77
+accept      -159.9563893280   71.5181717183
+expect        -710378.63	1947553.99
+accept      -139.1100287608   72.5807306253
+expect        -1277834.99	1475741.38
+accept      -119.6844932150   73.8160145972
+expect        -1573951.28	897126.81
+accept      -99.2835557046   74.0204664516
+expect        -1764976.83	288463.51
+accept      -79.7589672970   75.0775591038
+expect        -1642126.09	-296646.71
+accept      -59.3247479059   76.5851745566
+expect        -1288854.48	-764485.02
+accept      -39.7902268868   77.0657936158
+expect        -924365.02	-1109855.48
+accept      -19.7666667754   78.0413206451
+expect        -451330.57	-1255957.46
+accept        0.2731990430   79.0490755914
+expect        5823.67	-1221382.92
+accept       10.9115419099   79.7152157770
+expect        217055.69	-1125960.00
+accept       30.7420972758   80.5901686038
+expect        536058.05	-901323.33
+accept       50.1425480782   81.1493341375
+expect        756982.36	-631979.34
+accept       70.9517084975   81.7646094071
+expect        867084.74	-299376.41
+accept       90.1847984189   82.9573597164
+expect        784087.78	2528.94
+accept       110.4406311958   83.6703375043
+expect        660181.04	246051.50
+accept       130.8429657164   84.7838043163
+expect        439087.14	379584.73
+accept       150.8488588999   85.8764976286
+expect        223444.70	400609.15
+accept       170.3972098164   87.6222109978
+expect        44112.34	260730.62
 
-accept     170.6832502669   105.0174505020
-expect    failure errno coord_transfm_invalid_coord
+------------------------------------------------------------
+operation  +proj=peirce_q +R=6370997 +type=horizontal
+tolerance  10 mm
+------------------------------------------------------------
 
-accept     180.7137917600   105.8174218935
-expect    failure errno coord_transfm_invalid_coord
+accept     -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept     -159.2003712209  -89.5537263306
+expect        11829925.59	46389.53
+accept     -139.6233037328  -87.8821294926
+expect        11964878.50	179422.00
+accept     -119.6070748182  -86.3003323104
+expect        12170099.87	203314.63
+accept     -99.5789095738  -85.2121814625
+expect        12337567.89	88642.74
+accept     -79.2799350968  -83.8692118030
+expect        12482758.50	-126926.46
+accept     -59.1007316490  -82.6429522913
+expect        12515230.65	-420679.26
+accept     -39.7694988813  -81.1240616181
+expect        12444929.25	-760124.60
+accept     -19.4219986373  -80.4596653260
+expect        12165869.15	-1002788.10
+accept       0.0372192405  -79.1830001774
+expect        11811520.58	-1206370.29
+accept      10.8072116146  -78.5286202425
+expect        11572339.01	-1257129.40
+accept      30.6949420481  -77.5251356225
+expect        11101412.77	-1197551.10
+accept      50.8838172783  -77.2075414406
+expect        10704036.55	-901172.98
+accept      70.9123606882  -75.6020670736
+expect        10291334.40	-526273.50
+accept      90.9423960847  -75.1187688922
+expect        10148495.87	27365.47
+accept      110.1071594840  -74.5087602471
+expect        10184807.56	595747.59
+accept      130.0104641839  -73.3709657282
+expect        10385951.00	1197258.60
+accept      150.5931126765  -73.1105693985
+expect        10883495.72	1648072.07
+accept      170.3454770498  -72.3687427114
+expect        11480979.75	1948059.70
+accept     -179.4283603569  -79.2780817976
+expect        11824233.18	1195644.94
+accept     -159.6140419013  -78.9064235928
+expect        12243338.18	1159916.58
+accept     -139.5485387788  -78.1437071317
+expect        12670731.51	1006822.50
+accept     -119.3040589991  -77.1517896758
+expect        13063407.08	702179.27
+accept     -99.1733290138  -76.2249333909
+expect        13331734.34	245348.39
+accept     -79.5627247417  -75.2438944725
+expect        13434908.73	-298863.61
+accept     -59.2065888779  -74.4787205556
+expect        13304060.66	-888974.50
+accept     -39.4027491539  -73.6693258790
+expect        12972860.58	-1412792.72
+accept     -19.3829588944  -72.8068670782
+expect        12451494.09	-1817098.38
+accept       0.5951648774  -71.1110965727
+expect        11790295.69	-2119304.75
+accept      10.0089578122  -71.1061903043
+expect        11443943.49	-2087770.11
+accept      30.2470524798  -69.7155529444
+expect        10664223.55	-1969276.48
+accept      50.0855077954  -69.3112248587
+expect        10028156.79	-1492428.63
+accept      70.3496352985  -68.4437853274
+expect        9527901.67	-815371.10
+accept      90.4893702644  -66.7652070914
+expect        9193279.23	22354.00
+accept      110.3952984186  -65.8768496172
+expect        9260162.01	948295.92
+accept      130.3231133025  -64.8242212878
+expect        9642333.63	1841476.11
+accept      150.8384853690  -63.8483921906
+expect        10370712.49	2585079.51
+accept      170.7991687984  -62.8345530934
+expect        11320811.66	3038208.93
+accept      170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept      180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept     -179.2332724818   70.8217746040
+expect        -11841098.31	2152288.77
+accept     -159.9563893280   71.5181717183
+expect        -12522682.84	1947553.99
+accept     -139.1100287608   72.5807306253
+expect        -13090139.19	1475741.38
+accept     -119.6844932150   73.8160145972
+expect        -13386255.49	897126.81
+accept     -99.2835557046   74.0204664516
+expect        -13577281.04	288463.51
+accept     -79.7589672970   75.0775591038
+expect        -13454430.30	-296646.71
+accept     -59.3247479059   76.5851745566
+expect        -13101158.69	-764485.02
+accept     -39.7902268868   77.0657936158
+expect        -12736669.23	-1109855.48
+accept     -19.7666667754   78.0413206451
+expect        -12263634.78	-1255957.46
+accept       0.2731990430   79.0490755914
+expect        -11806480.53	-1221382.92
+accept      10.9115419099   79.7152157770
+expect        -11595248.52	-1125960.00
+accept      30.7420972758   80.5901686038
+expect        -11276246.16	-901323.33
+accept      50.1425480782   81.1493341375
+expect        -11055321.85	-631979.34
+accept      70.9517084975   81.7646094071
+expect        -10945219.47	-299376.41
+accept      90.1847984189   82.9573597164
+expect        -11028216.43	2528.94
+accept      110.4406311958   83.6703375043
+expect        -11152123.17	246051.50
+accept      130.8429657164   84.7838043163
+expect        -11373217.07	379584.73
+accept      150.8488588999   85.8764976286
+expect        -11588859.50	400609.15
+accept      170.3972098164   87.6222109978
+expect        -11768191.87	260730.62
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=horizontal +scrollx=0.75
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        17621.38	46389.53
+accept      -139.6233037328  -87.8821294926
+expect        152574.30	179422.00
+accept      -119.6070748182  -86.3003323104
+expect        357795.67	203314.63
+accept      -99.5789095738  -85.2121814625
+expect        525263.69	88642.74
+accept      -79.2799350968  -83.8692118030
+expect        670454.30	-126926.46
+accept      -59.1007316490  -82.6429522913
+expect        702926.44	-420679.26
+accept      -39.7694988813  -81.1240616181
+expect        632625.04	-760124.60
+accept      -19.4219986373  -80.4596653260
+expect        353564.94	-1002788.10
+accept        0.0372192405  -79.1830001774
+expect        -783.63	-1206370.29
+accept       10.8072116146  -78.5286202425
+expect        -239965.19	-1257129.40
+accept       30.6949420481  -77.5251356225
+expect        -710891.44	-1197551.10
+accept       50.8838172783  -77.2075414406
+expect        -1108267.66	-901172.98
+accept       70.9123606882  -75.6020670736
+expect        -1520969.81	-526273.50
+accept       90.9423960847  -75.1187688922
+expect        -1663808.33	27365.47
+accept       110.1071594840  -74.5087602471
+expect        -1627496.65	595747.59
+accept       130.0104641839  -73.3709657282
+expect        -1426353.21	1197258.60
+accept       150.5931126765  -73.1105693985
+expect        -928808.49	1648072.07
+accept       170.3454770498  -72.3687427114
+expect        -331324.45	1948059.70
+accept      -179.4283603569  -79.2780817976
+expect        11928.97	1195644.94
+accept      -159.6140419013  -78.9064235928
+expect        431033.97	1159916.58
+accept      -139.5485387788  -78.1437071317
+expect        858427.30	1006822.50
+accept      -119.3040589991  -77.1517896758
+expect        1251102.88	702179.27
+accept      -99.1733290138  -76.2249333909
+expect        1519430.13	245348.39
+accept      -79.5627247417  -75.2438944725
+expect        1622604.52	-298863.61
+accept      -59.2065888779  -74.4787205556
+expect        1491756.45	-888974.50
+accept      -39.4027491539  -73.6693258790
+expect        1160556.37	-1412792.72
+accept      -19.3829588944  -72.8068670782
+expect        639189.89	-1817098.38
+accept        0.5951648774  -71.1110965727
+expect        -22008.52	-2119304.75
+accept       10.0089578122  -71.1061903043
+expect        -368360.71	-2087770.11
+accept       30.2470524798  -69.7155529444
+expect        -1148080.66	-1969276.48
+accept       50.0855077954  -69.3112248587
+expect        -1784147.42	-1492428.63
+accept       70.3496352985  -68.4437853274
+expect        -2284402.54	-815371.10
+accept       90.4893702644  -66.7652070914
+expect        -2619024.98	22354.00
+accept       110.3952984186  -65.8768496172
+expect        -2552142.20	948295.92
+accept       130.3231133025  -64.8242212878
+expect        -2169970.58	1841476.11
+accept       150.8384853690  -63.8483921906
+expect        -1441591.72	2585079.51
+accept       170.7991687984  -62.8345530934
+expect        -491492.54	3038208.93
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        23595814.31	2152288.77
+accept      -159.9563893280   71.5181717183
+expect        22914229.78	1947553.99
+accept      -139.1100287608   72.5807306253
+expect        22346773.43	1475741.38
+accept      -119.6844932150   73.8160145972
+expect        22050657.13	897126.81
+accept      -99.2835557046   74.0204664516
+expect        21859631.58	288463.51
+accept      -79.7589672970   75.0775591038
+expect        21982482.33	-296646.71
+accept      -59.3247479059   76.5851745566
+expect        22335753.93	-764485.02
+accept      -39.7902268868   77.0657936158
+expect        22700243.39	-1109855.48
+accept      -19.7666667754   78.0413206451
+expect        23173277.84	-1255957.46
+accept        0.2731990430   79.0490755914
+expect        -23618784.74	-1221382.92
+accept       10.9115419099   79.7152157770
+expect        -23407552.72	-1125960.00
+accept       30.7420972758   80.5901686038
+expect        -23088550.36	-901323.33
+accept       50.1425480782   81.1493341375
+expect        -22867626.05	-631979.34
+accept       70.9517084975   81.7646094071
+expect        -22757523.68	-299376.41
+accept       90.1847984189   82.9573597164
+expect        -22840520.64	2528.94
+accept       110.4406311958   83.6703375043
+expect        -22964427.38	246051.50
+accept       130.8429657164   84.7838043163
+expect        -23185521.28	379584.73
+accept       150.8488588999   85.8764976286
+expect        -23401163.71	400609.15
+accept       170.3972098164   87.6222109978
+expect        -23580496.07	260730.62
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=vertical
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        -17621.38	11765914.68
+accept      -139.6233037328  -87.8821294926
+expect        -152574.30	11632882.21
+accept      -119.6070748182  -86.3003323104
+expect        -357795.67	11608989.58
+accept      -99.5789095738  -85.2121814625
+expect        -525263.69	11723661.47
+accept      -79.2799350968  -83.8692118030
+expect        -670454.30	11939230.67
+accept      -59.1007316490  -82.6429522913
+expect        -702926.44	12232983.46
+accept      -39.7694988813  -81.1240616181
+expect        -632625.04	12572428.81
+accept      -19.4219986373  -80.4596653260
+expect        -353564.94	12815092.31
+accept        0.0372192405  -79.1830001774
+expect        783.63	13018674.49
+accept       10.8072116146  -78.5286202425
+expect        239965.19	13069433.61
+accept       30.6949420481  -77.5251356225
+expect        710891.44	13009855.31
+accept       50.8838172783  -77.2075414406
+expect        1108267.66	12713477.19
+accept       70.9123606882  -75.6020670736
+expect        1520969.81	12338577.71
+accept       90.9423960847  -75.1187688922
+expect        1663808.33	11784938.74
+accept       110.1071594840  -74.5087602471
+expect        1627496.65	11216556.62
+accept       130.0104641839  -73.3709657282
+expect        1426353.21	10615045.61
+accept       150.5931126765  -73.1105693985
+expect        928808.49	10164232.13
+accept       170.3454770498  -72.3687427114
+expect        331324.45	9864244.50
+accept      -179.4283603569  -79.2780817976
+expect        -11928.97	10616659.27
+accept      -159.6140419013  -78.9064235928
+expect        -431033.97	10652387.63
+accept      -139.5485387788  -78.1437071317
+expect        -858427.30	10805481.70
+accept      -119.3040589991  -77.1517896758
+expect        -1251102.88	11110124.94
+accept      -99.1733290138  -76.2249333909
+expect        -1519430.13	11566955.81
+accept      -79.5627247417  -75.2438944725
+expect        -1622604.52	12111167.82
+accept      -59.2065888779  -74.4787205556
+expect        -1491756.45	12701278.71
+accept      -39.4027491539  -73.6693258790
+expect        -1160556.37	13225096.92
+accept      -19.3829588944  -72.8068670782
+expect        -639189.89	13629402.59
+accept        0.5951648774  -71.1110965727
+expect        22008.52	13931608.96
+accept       10.0089578122  -71.1061903043
+expect        368360.71	13900074.32
+accept       30.2470524798  -69.7155529444
+expect        1148080.66	13781580.69
+accept       50.0855077954  -69.3112248587
+expect        1784147.42	13304732.84
+accept       70.3496352985  -68.4437853274
+expect        2284402.54	12627675.31
+accept       90.4893702644  -66.7652070914
+expect        2619024.98	11789950.21
+accept       110.3952984186  -65.8768496172
+expect        2552142.20	10864008.28
+accept       130.3231133025  -64.8242212878
+expect        2169970.58	9970828.10
+accept       150.8384853690  -63.8483921906
+expect        1441591.72	9227224.69
+accept       170.7991687984  -62.8345530934
+expect        491492.54	8774095.28
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        -28794.10	-9660015.44
+accept      -159.9563893280   71.5181717183
+expect        -710378.63	-9864750.22
+accept      -139.1100287608   72.5807306253
+expect        -1277834.99	-10336562.82
+accept      -119.6844932150   73.8160145972
+expect        -1573951.28	-10915177.40
+accept      -99.2835557046   74.0204664516
+expect        -1764976.83	-11523840.70
+accept      -79.7589672970   75.0775591038
+expect        -1642126.09	-12108950.91
+accept      -59.3247479059   76.5851745566
+expect        -1288854.48	-12576789.23
+accept      -39.7902268868   77.0657936158
+expect        -924365.02	-12922159.68
+accept      -19.7666667754   78.0413206451
+expect        -451330.57	-13068261.66
+accept        0.2731990430   79.0490755914
+expect        5823.67	-13033687.13
+accept       10.9115419099   79.7152157770
+expect        217055.69	-12938264.21
+accept       30.7420972758   80.5901686038
+expect        536058.05	-12713627.54
+accept       50.1425480782   81.1493341375
+expect        756982.36	-12444283.55
+accept       70.9517084975   81.7646094071
+expect        867084.74	-12111680.61
+accept       90.1847984189   82.9573597164
+expect        784087.78	-11809775.26
+accept       110.4406311958   83.6703375043
+expect        660181.04	-11566252.71
+accept       130.8429657164   84.7838043163
+expect        439087.14	-11432719.48
+accept       150.8488588999   85.8764976286
+expect        223444.70	-11411695.05
+accept       170.3972098164   87.6222109978
+expect        44112.34	-11551573.59
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=vertical +scrolly=-0.25
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        -17621.38	-46389.53
+accept      -139.6233037328  -87.8821294926
+expect        -152574.30	-179422.00
+accept      -119.6070748182  -86.3003323104
+expect        -357795.67	-203314.63
+accept      -99.5789095738  -85.2121814625
+expect        -525263.69	-88642.74
+accept      -79.2799350968  -83.8692118030
+expect        -670454.30	126926.46
+accept      -59.1007316490  -82.6429522913
+expect        -702926.44	420679.26
+accept      -39.7694988813  -81.1240616181
+expect        -632625.04	760124.60
+accept      -19.4219986373  -80.4596653260
+expect        -353564.94	1002788.10
+accept        0.0372192405  -79.1830001774
+expect        783.63	1206370.29
+accept       10.8072116146  -78.5286202425
+expect        239965.19	1257129.40
+accept       30.6949420481  -77.5251356225
+expect        710891.44	1197551.10
+accept       50.8838172783  -77.2075414406
+expect        1108267.66	901172.98
+accept       70.9123606882  -75.6020670736
+expect        1520969.81	526273.50
+accept       90.9423960847  -75.1187688922
+expect        1663808.33	-27365.47
+accept       110.1071594840  -74.5087602471
+expect        1627496.65	-595747.59
+accept       130.0104641839  -73.3709657282
+expect        1426353.21	-1197258.60
+accept       150.5931126765  -73.1105693985
+expect        928808.49	-1648072.07
+accept       170.3454770498  -72.3687427114
+expect        331324.45	-1948059.70
+accept      -179.4283603569  -79.2780817976
+expect        -11928.97	-1195644.94
+accept      -159.6140419013  -78.9064235928
+expect        -431033.97	-1159916.58
+accept      -139.5485387788  -78.1437071317
+expect        -858427.30	-1006822.50
+accept      -119.3040589991  -77.1517896758
+expect        -1251102.88	-702179.27
+accept      -99.1733290138  -76.2249333909
+expect        -1519430.13	-245348.39
+accept      -79.5627247417  -75.2438944725
+expect        -1622604.52	298863.61
+accept      -59.2065888779  -74.4787205556
+expect        -1491756.45	888974.50
+accept      -39.4027491539  -73.6693258790
+expect        -1160556.37	1412792.72
+accept      -19.3829588944  -72.8068670782
+expect        -639189.89	1817098.38
+accept        0.5951648774  -71.1110965727
+expect        22008.52	2119304.75
+accept       10.0089578122  -71.1061903043
+expect        368360.71	2087770.11
+accept       30.2470524798  -69.7155529444
+expect        1148080.66	1969276.48
+accept       50.0855077954  -69.3112248587
+expect        1784147.42	1492428.63
+accept       70.3496352985  -68.4437853274
+expect        2284402.54	815371.10
+accept       90.4893702644  -66.7652070914
+expect        2619024.98	-22354.00
+accept       110.3952984186  -65.8768496172
+expect        2552142.20	-948295.92
+accept       130.3231133025  -64.8242212878
+expect        2169970.58	-1841476.11
+accept       150.8384853690  -63.8483921906
+expect        1441591.72	-2585079.51
+accept       170.7991687984  -62.8345530934
+expect        491492.54	-3038208.93
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        -28794.10	-21472319.64
+accept      -159.9563893280   71.5181717183
+expect        -710378.63	-21677054.43
+accept      -139.1100287608   72.5807306253
+expect        -1277834.99	-22148867.03
+accept      -119.6844932150   73.8160145972
+expect        -1573951.28	-22727481.60
+accept      -99.2835557046   74.0204664516
+expect        -1764976.83	-23336144.90
+accept      -79.7589672970   75.0775591038
+expect        -1642126.09	23327961.71
+accept      -59.3247479059   76.5851745566
+expect        -1288854.48	22860123.39
+accept      -39.7902268868   77.0657936158
+expect        -924365.02	22514752.94
+accept      -19.7666667754   78.0413206451
+expect        -451330.57	22368650.96
+accept        0.2731990430   79.0490755914
+expect        5823.67	22403225.49
+accept       10.9115419099   79.7152157770
+expect        217055.69	22498648.41
+accept       30.7420972758   80.5901686038
+expect        536058.05	22723285.08
+accept       50.1425480782   81.1493341375
+expect        756982.36	22992629.07
+accept       70.9517084975   81.7646094071
+expect        867084.74	23325232.01
+accept       90.1847984189   82.9573597164
+expect        784087.78	-23622079.47
+accept       110.4406311958   83.6703375043
+expect        660181.04	-23378556.92
+accept       130.8429657164   84.7838043163
+expect        439087.14	-23245023.69
+accept       150.8488588999   85.8764976286
+expect        223444.70	-23223999.26
+accept       170.3972098164   87.6222109978
+expect        44112.34	-23363877.80
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=nhemisphere
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -139.6233037328  -87.8821294926
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -119.6070748182  -86.3003323104
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -99.5789095738  -85.2121814625
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -79.2799350968  -83.8692118030
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -59.1007316490  -82.6429522913
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -39.7694988813  -81.1240616181
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -19.4219986373  -80.4596653260
+expect        failure errno coord_transfm_outside_projection_domain
+accept        0.0372192405  -79.1830001774
+expect        failure errno coord_transfm_outside_projection_domain
+accept       10.8072116146  -78.5286202425
+expect        failure errno coord_transfm_outside_projection_domain
+accept       30.6949420481  -77.5251356225
+expect        failure errno coord_transfm_outside_projection_domain
+accept       50.8838172783  -77.2075414406
+expect        failure errno coord_transfm_outside_projection_domain
+accept       70.9123606882  -75.6020670736
+expect        failure errno coord_transfm_outside_projection_domain
+accept       90.9423960847  -75.1187688922
+expect        failure errno coord_transfm_outside_projection_domain
+accept       110.1071594840  -74.5087602471
+expect        failure errno coord_transfm_outside_projection_domain
+accept       130.0104641839  -73.3709657282
+expect        failure errno coord_transfm_outside_projection_domain
+accept       150.5931126765  -73.1105693985
+expect        failure errno coord_transfm_outside_projection_domain
+accept       170.3454770498  -72.3687427114
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -179.4283603569  -79.2780817976
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -159.6140419013  -78.9064235928
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -139.5485387788  -78.1437071317
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -119.3040589991  -77.1517896758
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -99.1733290138  -76.2249333909
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -79.5627247417  -75.2438944725
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -59.2065888779  -74.4787205556
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -39.4027491539  -73.6693258790
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -19.3829588944  -72.8068670782
+expect        failure errno coord_transfm_outside_projection_domain
+accept        0.5951648774  -71.1110965727
+expect        failure errno coord_transfm_outside_projection_domain
+accept       10.0089578122  -71.1061903043
+expect        failure errno coord_transfm_outside_projection_domain
+accept       30.2470524798  -69.7155529444
+expect        failure errno coord_transfm_outside_projection_domain
+accept       50.0855077954  -69.3112248587
+expect        failure errno coord_transfm_outside_projection_domain
+accept       70.3496352985  -68.4437853274
+expect        failure errno coord_transfm_outside_projection_domain
+accept       90.4893702644  -66.7652070914
+expect        failure errno coord_transfm_outside_projection_domain
+accept       110.3952984186  -65.8768496172
+expect        failure errno coord_transfm_outside_projection_domain
+accept       130.3231133025  -64.8242212878
+expect        failure errno coord_transfm_outside_projection_domain
+accept       150.8384853690  -63.8483921906
+expect        failure errno coord_transfm_outside_projection_domain
+accept       170.7991687984  -62.8345530934
+expect        failure errno coord_transfm_outside_projection_domain
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        -28794.10	2152288.77
+accept      -159.9563893280   71.5181717183
+expect        -710378.63	1947553.99
+accept      -139.1100287608   72.5807306253
+expect        -1277834.99	1475741.38
+accept      -119.6844932150   73.8160145972
+expect        -1573951.28	897126.81
+accept      -99.2835557046   74.0204664516
+expect        -1764976.83	288463.51
+accept      -79.7589672970   75.0775591038
+expect        -1642126.09	-296646.71
+accept      -59.3247479059   76.5851745566
+expect        -1288854.48	-764485.02
+accept      -39.7902268868   77.0657936158
+expect        -924365.02	-1109855.48
+accept      -19.7666667754   78.0413206451
+expect        -451330.57	-1255957.46
+accept        0.2731990430   79.0490755914
+expect        5823.67	-1221382.92
+accept       10.9115419099   79.7152157770
+expect        217055.69	-1125960.00
+accept       30.7420972758   80.5901686038
+expect        536058.05	-901323.33
+accept       50.1425480782   81.1493341375
+expect        756982.36	-631979.34
+accept       70.9517084975   81.7646094071
+expect        867084.74	-299376.41
+accept       90.1847984189   82.9573597164
+expect        784087.78	2528.94
+accept       110.4406311958   83.6703375043
+expect        660181.04	246051.50
+accept       130.8429657164   84.7838043163
+expect        439087.14	379584.73
+accept       150.8488588999   85.8764976286
+expect        223444.70	400609.15
+accept       170.3972098164   87.6222109978
+expect        44112.34	260730.62
+
+ ------------------------------------------------------------
+ operation  +proj=peirce_q +R=6370997 +type=shemisphere
+ tolerance  10 mm
+ ------------------------------------------------------------
+
+accept      -179.6126302052  -90.2440064745
+expect        failure errno coord_transfm_invalid_coord
+accept      -159.2003712209  -89.5537263306
+expect        -17621.38	46389.53
+accept      -139.6233037328  -87.8821294926
+expect        -152574.30	179422.00
+accept      -119.6070748182  -86.3003323104
+expect        -357795.67	203314.63
+accept      -99.5789095738  -85.2121814625
+expect        -525263.69	88642.74
+accept      -79.2799350968  -83.8692118030
+expect        -670454.30	-126926.46
+accept      -59.1007316490  -82.6429522913
+expect        -702926.44	-420679.26
+accept      -39.7694988813  -81.1240616181
+expect        -632625.04	-760124.60
+accept      -19.4219986373  -80.4596653260
+expect        -353564.94	-1002788.10
+accept        0.0372192405  -79.1830001774
+expect        783.63	-1206370.29
+accept       10.8072116146  -78.5286202425
+expect        239965.19	-1257129.40
+accept       30.6949420481  -77.5251356225
+expect        710891.44	-1197551.10
+accept       50.8838172783  -77.2075414406
+expect        1108267.66	-901172.98
+accept       70.9123606882  -75.6020670736
+expect        1520969.81	-526273.50
+accept       90.9423960847  -75.1187688922
+expect        1663808.33	27365.47
+accept       110.1071594840  -74.5087602471
+expect        1627496.65	595747.59
+accept       130.0104641839  -73.3709657282
+expect        1426353.21	1197258.60
+accept       150.5931126765  -73.1105693985
+expect        928808.49	1648072.07
+accept       170.3454770498  -72.3687427114
+expect        331324.45	1948059.70
+accept      -179.4283603569  -79.2780817976
+expect        -11928.97	1195644.94
+accept      -159.6140419013  -78.9064235928
+expect        -431033.97	1159916.58
+accept      -139.5485387788  -78.1437071317
+expect        -858427.30	1006822.50
+accept      -119.3040589991  -77.1517896758
+expect        -1251102.88	702179.27
+accept      -99.1733290138  -76.2249333909
+expect        -1519430.13	245348.39
+accept      -79.5627247417  -75.2438944725
+expect        -1622604.52	-298863.61
+accept      -59.2065888779  -74.4787205556
+expect        -1491756.45	-888974.50
+accept      -39.4027491539  -73.6693258790
+expect        -1160556.37	-1412792.72
+accept      -19.3829588944  -72.8068670782
+expect        -639189.89	-1817098.38
+accept        0.5951648774  -71.1110965727
+expect        22008.52	-2119304.75
+accept       10.0089578122  -71.1061903043
+expect        368360.71	-2087770.11
+accept       30.2470524798  -69.7155529444
+expect        1148080.66	-1969276.48
+accept       50.0855077954  -69.3112248587
+expect        1784147.42	-1492428.63
+accept       70.3496352985  -68.4437853274
+expect        2284402.54	-815371.10
+accept       90.4893702644  -66.7652070914
+expect        2619024.98	22354.00
+accept       110.3952984186  -65.8768496172
+expect        2552142.20	948295.92
+accept       130.3231133025  -64.8242212878
+expect        2169970.58	1841476.11
+accept       150.8384853690  -63.8483921906
+expect        1441591.72	2585079.51
+accept       170.7991687984  -62.8345530934
+expect        491492.54	3038208.93
+accept       170.6832502669   -105.0174505020
+expect        failure errno coord_transfm_invalid_coord
+accept       180.7137917600   105.8174218935
+expect        failure errno coord_transfm_invalid_coord
+accept      -179.2332724818   70.8217746040
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -159.9563893280   71.5181717183
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -139.1100287608   72.5807306253
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -119.6844932150   73.8160145972
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -99.2835557046   74.0204664516
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -79.7589672970   75.0775591038
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -59.3247479059   76.5851745566
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -39.7902268868   77.0657936158
+expect        failure errno coord_transfm_outside_projection_domain
+accept      -19.7666667754   78.0413206451
+expect        failure errno coord_transfm_outside_projection_domain
+accept        0.2731990430   79.0490755914
+expect        failure errno coord_transfm_outside_projection_domain
+accept       10.9115419099   79.7152157770
+expect        failure errno coord_transfm_outside_projection_domain
+accept       30.7420972758   80.5901686038
+expect        failure errno coord_transfm_outside_projection_domain
+accept       50.1425480782   81.1493341375
+expect        failure errno coord_transfm_outside_projection_domain
+accept       70.9517084975   81.7646094071
+expect        failure errno coord_transfm_outside_projection_domain
+accept       90.1847984189   82.9573597164
+expect        failure errno coord_transfm_outside_projection_domain
+accept       110.4406311958   83.6703375043
+expect        failure errno coord_transfm_outside_projection_domain
+accept       130.8429657164   84.7838043163
+expect        failure errno coord_transfm_outside_projection_domain
+accept       150.8488588999   85.8764976286
+expect        failure errno coord_transfm_outside_projection_domain
+accept       170.3972098164   87.6222109978
+expect        failure errno coord_transfm_outside_projection_domain
 
 </gie-strict>
author	Even Rouault <even.rouault@spatialys.com>	2021-12-21 19:39:10 +0100
committer	GitHub <noreply@github.com>	2021-12-21 19:39:10 +0100
commit	c8346e9f0a17d08b68935afde791611c50b07e0e (patch)
tree	2f7d41b6d83efc6329898aac5eec4cd073ddcfd5
parent	247a79e6c7e425573900821c218c10ec2a272f97 (diff)
parent	d5d60b7154d149de797737ecd96fde56bfecb7c2 (diff)
download	PROJ-c8346e9f0a17d08b68935afde791611c50b07e0e.tar.gz PROJ-c8346e9f0a17d08b68935afde791611c50b07e0e.zip