geometry/test/strategies/segment_intersection_geo.cpp

431 lines
19 KiB
C++

// Boost.Geometry
// Unit Test
// Copyright (c) 2016-2018, Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
// Use, modification and distribution is subject to the Boost Software License,
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include "segment_intersection_geo.hpp"
template <typename T>
void test_geographic()
{
typedef bg::model::point<double, 2, bg::cs::geographic<bg::degree> > point_t;
typedef bg::model::segment<point_t> segment_t;
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 -2, -1 -1)", 'a', "POINT(-1 -1)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, 1 1)", "SEGMENT(-1 -2, -1 -1)", 'f', "POINT(-1 -2)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -1)", "SEGMENT(-1 -2, -1 -1)", 't', "POINT(-1 -1)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -2)", "SEGMENT(-1 -2, -1 -1)", 'a', "POINT(-1 -2)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, -1 -1)", "SEGMENT(-1 -1, 1 1)", 'a', "POINT(-1 -1)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, -1 -1)", "SEGMENT(-1 -2, 1 1)", 'f', "POINT(-1 -2)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, -1 -1)", "SEGMENT(1 1, -1 -1)", 't', "POINT(-1 -1)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, -1 -1)", "SEGMENT(1 1, -1 -2)", 'a', "POINT(-1 -2)");
test_strategies<segment_t, point_t>(
"SEGMENT(-1 -2, -1 2)", "SEGMENT(-2 -2, 2 2)",
great_elliptic('i', "POINT(-1 -1.000457053724121)"),
geodesic_vincenty('i', "POINT(-1 -1.000459099991114)"),
geodesic_andoyer('i', "POINT(-1 -1.000453510849886)"));
test_strategies<segment_t, point_t>(
"SEGMENT(-2 -2, 2 2)", "SEGMENT(-1 -2, -1 2)",
great_elliptic('i', "POINT(-1 -1.000457053724121)"),
geodesic_vincenty('i', "POINT(-1 -1.000459099991114)"),
geodesic_andoyer('i', "POINT(-1 -1.000453510849886)"));
// crossing X
test_strategies<segment_t, point_t>(
"SEGMENT(-45 -45, 45 45)", "SEGMENT(-45 45, 45 -45)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000001380087204053 -0.0000000000000063611)"),
geodesic_andoyer('i', "POINT(0 0.0003512140328446071)"));
test_strategies<segment_t, point_t>(
"SEGMENT(-45 -45, 45 45)", "SEGMENT(45 -45, -45 45)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000001380087204053 -0.0000000000000063611)"),
geodesic_andoyer('i', "POINT(0 0.0003512140328446071)"));
test_strategies<segment_t, point_t>(
"SEGMENT(45 45, -45 -45)", "SEGMENT(-45 45, 45 -45)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000001380087204053 -0.0000000000000063611)"),
geodesic_andoyer('i', "POINT(0 0.0003512140328446071)"));
test_strategies<segment_t, point_t>(
"SEGMENT(45 45, -45 -45)", "SEGMENT(45 -45, -45 45)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000001380087204053 -0.0000000000000063611)"),
geodesic_andoyer('i', "POINT(0 0.0003512140328446071)"));
// crossing X
test_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 1, 1 -1)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000000000000596354 -0.0000000000626626779)"),
geodesic_andoyer('i', "POINT(-0.000000000000000596354 0.0000055787431347552)"));
test_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(1 -1, -1 1)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000000000000596354 -0.0000000000626626779)"),
geodesic_andoyer('i', "POINT(-0.000000000000000596354 0.0000055787431347552)"));
test_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -1)", "SEGMENT(-1 1, 1 -1)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000000000000596354 -0.0000000000626626779)"),
geodesic_andoyer('i', "POINT(-0.000000000000000596354 0.0000055787431347552)"));
test_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -1)", "SEGMENT(1 -1, -1 1)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.000000000000000596354 -0.0000000000626626779)"),
geodesic_andoyer('i', "POINT(-0.000000000000000596354 0.0000055787431347552)"));
// equal
// //
test_all_strategies<segment_t, point_t>(
"SEGMENT(-45 -45, 45 45)", "SEGMENT(-45 -45, 45 45)", 'e', "POINT(-45 -45)", "POINT(45 45)", false);
// //
test_all_strategies<segment_t, point_t>(
"SEGMENT(-45 -45, 45 45)", "SEGMENT(45 45, -45 -45)", 'e', "POINT(-45 -45)", "POINT(45 45)", true);
// starting outside s1
// /
// |
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-2 -2, -1 -1)", 'a', "POINT(-1 -1)");
// /
// /|
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-2 -2, 0 0)", 'm', "POINT(0 0)");
// /|
// / |
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-2 -2, 1 1)", 't', "POINT(1 1)");
// |/
// /|
test_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-2 -2, 2 2)",
great_elliptic('i', "POINT(0 0)"),
geodesic_vincenty('i', "POINT(0.00000013628420059 0.00000013624239008)"),
geodesic_thomas('i', "POINT(-0.00004079969079346 -0.00004078714535240)"),
geodesic_andoyer('i', "POINT(-0.01217344899138908 -0.01216980051876599)"));
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-2 0, -1 0)", 'a', "POINT(-1 0)");
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-2 0, 0 0)", 'c', "POINT(-1 0)", "POINT(0 0)", false);
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(0 0, -2 0)", 'c', "POINT(-1 0)", "POINT(0 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 0, -1 0)", "SEGMENT(-2 0, 0 0)", 'c', "POINT(0 0)", "POINT(-1 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 0, -1 0)", "SEGMENT(0 0, -2 0)", 'c', "POINT(0 0)", "POINT(-1 0)", false);
// ------
// ---------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-2 0, 1 0)", 'c', "POINT(-1 0)", "POINT(1 0)", false);
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(1 0, -2 0)", 'c', "POINT(-1 0)", "POINT(1 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 0, -1 0)", "SEGMENT(-2 0, 1 0)", 'c', "POINT(1 0)", "POINT(-1 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 0, -1 0)", "SEGMENT(1 0, -2 0)", 'c', "POINT(1 0)", "POINT(-1 0)", false);
// ------
// ------------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-2 0, 2 0)", 'c', "POINT(-1 0)", "POINT(1 0)", false);
// starting at s1
// /
// //
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 -1, 0 0)", 'c', "POINT(-1 -1)", "POINT(0 0)", false);
// //
// //
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 -1, 1 1)", 'e', "POINT(-1 -1)", "POINT(1 1)", false);
// | /
// |/
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 -1, 2 2)", 'f', "POINT(-1 -1)");
// ------
// ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-1 0, 0 0)", 'c', "POINT(-1 0)", "POINT(0 0)", false);
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-1 0, 1 0)", 'e', "POINT(-1 0)", "POINT(1 0)", false);
// ------
// ---------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-1 0, 2 0)", 'c', "POINT(-1 0)", "POINT(1 0)", false);
// starting inside
// //
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(0 0, 1 1)", 'c', "POINT(0 0)", "POINT(1 1)", false);
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(1 1, 0 0)", 'c', "POINT(0 0)", "POINT(1 1)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -1)", "SEGMENT(0 0, 1 1)", 'c', "POINT(1 1)", "POINT(0 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, -1 -1)", "SEGMENT(1 1, 0 0)", 'c', "POINT(1 1)", "POINT(0 0)", false);
test_all_strategies<segment_t, point_t>(
"SEGMENT(0 0, 1 1)", "SEGMENT(-1 -1, 1 1)", 'c', "POINT(0 0)", "POINT(1 1)", false);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, 0 0)", "SEGMENT(-1 -1, 1 1)", 'c', "POINT(1 1)", "POINT(0 0)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(0 0, 1 1)", "SEGMENT(1 1, -1 -1)", 'c', "POINT(0 0)", "POINT(1 1)", true);
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 1, 0 0)", "SEGMENT(1 1, -1 -1)", 'c', "POINT(1 1)", "POINT(0 0)", false);
// |/
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(0 0, 2 2)", 's', "POINT(0 0)");
// ------
// ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(0 0, 1 0)", 'c', "POINT(0 0)", "POINT(1 0)", false);
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(0 0, 2 0)", 'c', "POINT(0 0)", "POINT(1 0)", false);
// starting at p2
// |
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(1 1, 2 2)", 'a', "POINT(1 1)");
// ------
// ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(1 0, 2 0)", 'a', "POINT(1 0)");
// disjoint, crossing
// /
// |
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-3 -3, -2 -2)", 'd');
// |
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(2 2, 3 3)", 'd');
// disjoint, collinear
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-3 0, -2 0)", 'd');
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(2 0, 3 0)", 'd');
// degenerated
// /
// *
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-2 -2, -2 -2)", 'd');
// /
// *
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(-1 -1, -1 -1)", '0', "POINT(-1 -1)");
// /
// *
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(0 0, 0 0)", '0', "POINT(0 0)");
// *
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(1 1, 1 1)", '0', "POINT(1 1)");
// *
// /
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 -1, 1 1)", "SEGMENT(2 2, 2 2)", 'd');
// similar to above, collinear
// * ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-2 0, -2 0)", 'd');
// *------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(-1 0, -1 0)", '0', "POINT(-1 0)");
// ---*---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(0 0, 0 0)", '0', "POINT(0 0)");
// ------*
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(1 0, 1 0)", '0', "POINT(1 0)");
// ------ *
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 0, 1 0)", "SEGMENT(2 0, 2 0)", 'd');
// Northern hemisphere
// --- ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-3 50, -2 50)", 'd');
// ------
// ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-2 50, -1 50)", 'a', "POINT(-1 50)");
// \/
// /\ (avoid multi-line comment)
test_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-2 50, 0 50)",
great_elliptic('i', "POINT(-0.5 50.0032229484023)"),
geodesic_vincenty('i', "POINT(-0.4999999996073994 50.00323192256208)"),
geodesic_thomas('i', "POINT(-0.4999999963998482 50.00323192258598)"),
geodesic_andoyer('i', "POINT(-0.4999990340391772 50.00323192463806)"));
// ________
// / _____\ (avoid multi-line comment)
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-2 50, 1 50)", 't', "POINT(1 50)");
// _________
// / _____ \ (avoid multi-line comment)
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-2 50, 2 50)", 'd');
// ______
// /___ \ (avoid multi-line comment)
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-1 50, 0 50)", 'f', "POINT(-1 50)");
// ------
// ------
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-1 50, 1 50)", 'e', "POINT(-1 50)", "POINT(1 50)", false);
// ________
// /_____ \ (avoid multi-line comment)
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(-1 50, 2 50)", 'f', "POINT(-1 50)");
// ______
// / ___\ (avoid multi-line comment)
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(0 50, 1 50)", 't', "POINT(1 50)");
// \/
// /\ (avoid multi-line comment)
test_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(0 50, 2 50)",
great_elliptic('i', "POINT(0.5 50.0032229484023)"),
geodesic_vincenty('i', "POINT(0.4999999996112415 50.00323192256208)"),
geodesic_thomas('i', "POINT(0.5000000051005989 50.00323192258598)"),
geodesic_andoyer('i', "POINT(0.5000009655139563 50.00323192463806)"));
// ------
// ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(1 50, 2 50)", 'a', "POINT(1 50)");
// ------ ---
test_all_strategies<segment_t, point_t>(
"SEGMENT(-1 50, 1 50)", "SEGMENT(2 50, 3 50)", 'd');
// ___|
test_all_strategies<segment_t, point_t>(
"SEGMENT(0 0, 1 0)", "SEGMENT(1 0, 1 1)", 'a', "POINT(1 0)");
// ___|
test_all_strategies<segment_t, point_t>(
"SEGMENT(1 0, 1 1)", "SEGMENT(0 0, 1 0)", 'a', "POINT(1 0)");
// |/
// /|
test_strategies<segment_t, point_t>(
"SEGMENT(10 -1, 20 1)", "SEGMENT(12.5 -1, 12.5 1)",
great_elliptic('i', "POINT(12.5 -0.50051443471392)"),
geodesic_vincenty('i', "POINT(12.5 -0.5005177749487734)"),
geodesic_thomas('i', "POINT(12.5 -0.5005177654827411)"),
geodesic_andoyer('i', "POINT(12.5 -0.500525380045163)"));
// |/
// /|
test_strategies<segment_t, point_t>(
"SEGMENT(10 -1, 20 1)", "SEGMENT(17.5 -1, 17.5 1)",
great_elliptic('i', "POINT(17.5 0.50051443471392)"),
geodesic_vincenty('i', "POINT(17.5 0.5005177748229335)"),
geodesic_thomas('i', "POINT(17.5 0.5005178030678186)"),
geodesic_andoyer('i', "POINT(17.5 0.5004949944844279)"));
// vertical, crossing at the pole or disjoint
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 45, -90 60)", "SEGMENT(0 50, 180 70)", 'i', "POINT(0 90)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 -45, -90 -60)", "SEGMENT(0 -50, 180 -70)", 'i', "POINT(0 -90)");
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 45, -90 60)", "SEGMENT(0 -50, 180 -70)", 'd');
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 -45, -90 -60)", "SEGMENT(0 50, 180 70)", 'd');
// vertical touching at the pole
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 90, 90 45)", "SEGMENT(0 90, 0 45)", 'f', "POINT(90 90)"); // should probably be (0 90)
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 90, 90 45)", "SEGMENT(0 45, 0 90)", 'a', "POINT(90 90)"); // should probably be (0 90)
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 45, 90 90)", "SEGMENT(0 90, 0 45)", 'a', "POINT(90 90)"); // should probably be (0 90)
test_all_strategies<segment_t, point_t>(
"SEGMENT(90 45, 90 90)", "SEGMENT(0 45, 0 90)", 't', "POINT(90 90)"); // should probably be (0 90)
// one vertical with endpoint at a pole
/*test_strategies<segment_t, point_t>(
"SEGMENT(0 90, 90 0)", "SEGMENT(89 45, 91 45)",
great_elliptic('i', "POINT(90 45.00436354465514)"),
geodesic_vincenty('i', "POINT(90.00000000000112 45.00437824795338)"),
geodesic_thomas('i', "POINT(90.00000000472062 45.00437824797395)"),
geodesic_andoyer('i', "POINT(89.99999993672924 45.00437824794587)"));
test_strategies<segment_t, point_t>(
"SEGMENT(90 0, 0 90)", "SEGMENT(89 45, 91 45)",
great_elliptic('i', "POINT(90 45.00436354465514)"),
geodesic_vincenty('i', "POINT(90.00000000000112 45.00437824795338)"),
geodesic_thomas('i', "POINT(90.00000000472062 45.00437824797395)"),
geodesic_andoyer('i', "POINT(89.99999993672924 45.00437824794587)"));
test_strategies<segment_t, point_t>(
"SEGMENT(0 -90, 90 0)", "SEGMENT(89 -45, 91 -45)",
great_elliptic('i', "POINT(90 -45.00436354465514)"),
geodesic_vincenty('i', "POINT(90.00000000000112 -45.00437824795338)"),
geodesic_thomas('i', "POINT(90.00000000472062 -45.00437824797395)"),
geodesic_andoyer('i', "POINT(89.99999993672924 -45.00437824794587)"));
test_strategies<segment_t, point_t>(
"SEGMENT(90 0, 0 -90)", "SEGMENT(89 -45, 91 -45)",
great_elliptic('i', "POINT(90 -45.00436354465514)"),
geodesic_vincenty('i', "POINT(90.00000000000112 -45.00437824795338)"),
geodesic_thomas('i', "POINT(90.00000000472062 -45.00437824797395)"),
geodesic_andoyer('i', "POINT(89.99999993672924 -45.00437824794587)"));*/
}
template <typename T>
void test_geographic_radian()
{
typedef bg::model::point<T, 2, bg::cs::geographic<bg::radian> > point_t;
typedef bg::model::segment<point_t> segment_t;
bg::strategy::intersection::geographic_segments<bg::strategy::vincenty> strategy;
// https://github.com/boostorg/geometry/issues/470
point_t p0(0.000000001, 0.000000001);
point_t p1(0.000000001, 0.000000005);
point_t p2(0.000000005, 0.000000005);
segment_t s1(p0, p1);
segment_t s2(p1, p2);
test_strategy_one(s1, s1, strategy, 'e', 2, p0, p1);
test_strategy_one(s2, s2, strategy, 'e', 2, p1, p2);
}
int test_main(int, char* [])
{
//test_geographic<float>();
test_geographic<double>();
test_geographic_radian<double>();
return 0;
}