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/******************************************************************************
*
* Project: PROJ
* Purpose: Test pj_phi2 function.
* Author: Kurt Schwehr <schwehr@google.com>
*
******************************************************************************
* Copyright (c) 2018, Google Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a
* copy of this software and associated documentation files (the "Software"),
* to deal in the Software without restriction, including without limitation
* the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included
* in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
* DEALINGS IN THE SOFTWARE.
****************************************************************************/
#include "proj.h"
#include "proj_internal.h"
#include <cmath>
#include <limits>
#include "gtest_include.h"
namespace {
TEST(PjPhi2Test, Basic) {
projCtx ctx = pj_get_default_ctx();
// Expectation is that only sane values of e (and nan is here reckoned to
// be sane) are passed to pj_phi2. Thus the return value with other values
// of e is "implementation dependent".
constexpr auto inf = std::numeric_limits<double>::infinity();
constexpr auto nan = std::numeric_limits<double>::quiet_NaN();
// Strict equality is demanded here.
EXPECT_EQ(M_PI_2, pj_phi2(ctx, +0.0, 0.0));
EXPECT_EQ(0.0, pj_phi2(ctx, 1.0, 0.0));
EXPECT_EQ(-M_PI_2, pj_phi2(ctx, inf, 0.0));
// We don't expect pj_phi2 to be called with negative ts (since ts =
// exp(-psi)). However, in the current implementation it is odd in ts.
// N.B. ts = +0.0 and ts = -0.0 return different results.
EXPECT_EQ(-M_PI_2, pj_phi2(ctx, -0.0, 0.0));
EXPECT_EQ(0.0, pj_phi2(ctx, -1.0, 0.0));
EXPECT_EQ(+M_PI_2, pj_phi2(ctx, -inf, 0.0));
constexpr double e = 0.2;
EXPECT_EQ(M_PI_2, pj_phi2(ctx, +0.0, e));
EXPECT_EQ(0.0, pj_phi2(ctx, 1.0, e));
EXPECT_EQ(-M_PI_2, pj_phi2(ctx, inf, e));
EXPECT_EQ(-M_PI_2, pj_phi2(ctx, -0.0, e));
EXPECT_EQ(0.0, pj_phi2(ctx, -1.0, e));
EXPECT_EQ(+M_PI_2, pj_phi2(ctx, -inf, e));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, nan, 0.0)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, nan, e)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, +0.0, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, 1.0, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, inf, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, -0.0, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, -1.0, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, -inf, nan)));
EXPECT_TRUE(std::isnan(pj_phi2(ctx, nan, nan)));
EXPECT_DOUBLE_EQ(M_PI / 3, pj_phi2(ctx, 1 / (sqrt(3.0) + 2), 0.0));
EXPECT_DOUBLE_EQ(M_PI / 4, pj_phi2(ctx, 1 / (sqrt(2.0) + 1), 0.0));
EXPECT_DOUBLE_EQ(M_PI / 6, pj_phi2(ctx, 1 / sqrt(3.0), 0.0));
EXPECT_DOUBLE_EQ(-M_PI / 3, pj_phi2(ctx, sqrt(3.0) + 2, 0.0));
EXPECT_DOUBLE_EQ(-M_PI / 4, pj_phi2(ctx, sqrt(2.0) + 1, 0.0));
EXPECT_DOUBLE_EQ(-M_PI / 6, pj_phi2(ctx, sqrt(3.0), 0.0));
// Generated with exp(e * atanh(e * sin(phi))) / (tan(phi) + sec(phi))
EXPECT_DOUBLE_EQ(M_PI / 3, pj_phi2(ctx, 0.27749174377027023413, e));
EXPECT_DOUBLE_EQ(M_PI / 4, pj_phi2(ctx, 0.42617788119104192995, e));
EXPECT_DOUBLE_EQ(M_PI / 6, pj_phi2(ctx, 0.58905302448626726064, e));
EXPECT_DOUBLE_EQ(-M_PI / 3, pj_phi2(ctx, 3.6037108218537833089, e));
EXPECT_DOUBLE_EQ(-M_PI / 4, pj_phi2(ctx, 2.3464380582241712935, e));
EXPECT_DOUBLE_EQ(-M_PI / 6, pj_phi2(ctx, 1.6976400399134411849, e));
}
} // namespace
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