/*
    This file is part of Magnum.

    Copyright © 2010, 2011, 2012, 2013, 2014, 2015
              Vladimír Vondruš <mosra@centrum.cz>

    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 <sstream>
#include <Corrade/TestSuite/Tester.h>

#include "Magnum/Math/DualComplex.h"
#include "Magnum/Math/DualQuaternion.h"

struct DualCmpl {
    float re, im, x, y;
};

namespace Magnum { namespace Math {

namespace Implementation {

template<> struct DualComplexConverter<Float, DualCmpl> {
    #if !defined(__GNUC__) || defined(__clang__)
    constexpr /* See the convert() test case */
    #endif
    static DualComplex<Float> from(const DualCmpl& other) {
        return {{other.re, other.im}, {other.x, other.y}};
    }

    constexpr static DualCmpl to(const DualComplex<Float>& other) {
        return {other.real().real(), other.real().imaginary(), other.dual().real(), other.dual().imaginary() };
    }
};

}

namespace Test {

struct DualComplexTest: Corrade::TestSuite::Tester {
    explicit DualComplexTest();

    void construct();
    void constructIdentity();
    void constructFromVector();
    void constructCopy();
    void convert();

    void isNormalized();

    void multiply();

    void lengthSquared();
    void length();
    void normalized();

    void complexConjugated();
    void dualConjugated();
    void conjugated();
    void inverted();
    void invertedNormalized();

    void rotation();
    void translation();
    void combinedTransformParts();
    void matrix();
    void transformPoint();

    void debug();
};

typedef Math::Deg<Float> Deg;
typedef Math::Rad<Float> Rad;
typedef Math::Complex<Float> Complex;
typedef Math::Dual<Float> Dual;
typedef Math::DualComplex<Float> DualComplex;
typedef Math::Matrix3<Float> Matrix3;
typedef Math::Vector2<Float> Vector2;

DualComplexTest::DualComplexTest() {
    addTests({&DualComplexTest::construct,
              &DualComplexTest::constructIdentity,
              &DualComplexTest::constructFromVector,
              &DualComplexTest::constructCopy,
              &DualComplexTest::convert,

              &DualComplexTest::isNormalized,

              &DualComplexTest::multiply,

              &DualComplexTest::lengthSquared,
              &DualComplexTest::length,
              &DualComplexTest::normalized,

              &DualComplexTest::complexConjugated,
              &DualComplexTest::dualConjugated,
              &DualComplexTest::conjugated,
              &DualComplexTest::inverted,
              &DualComplexTest::invertedNormalized,

              &DualComplexTest::rotation,
              &DualComplexTest::translation,
              &DualComplexTest::combinedTransformParts,
              &DualComplexTest::matrix,
              &DualComplexTest::transformPoint,

              &DualComplexTest::debug});
}

void DualComplexTest::construct() {
    constexpr DualComplex a({-1.0f, 2.5f}, {3.0f, -7.5f});
    CORRADE_COMPARE(a, DualComplex({-1.0f, 2.5f}, {3.0f, -7.5f}));

    constexpr Complex b = a.real();
    constexpr Complex c = a.dual();
    CORRADE_COMPARE(b, Complex(-1.0f, 2.5f));
    CORRADE_COMPARE(c, Complex(3.0f, -7.5f));

    constexpr DualComplex d(Complex(-1.0f, 2.5f));
    CORRADE_COMPARE(d, DualComplex({-1.0f, 2.5f}, {0.0f, 0.0f}));
}

void DualComplexTest::constructIdentity() {
    constexpr DualComplex a;
    constexpr DualComplex b{IdentityInit};
    CORRADE_COMPARE(a, DualComplex({1.0f, 0.0f}, {0.0f, 0.0f}));
    CORRADE_COMPARE(b, DualComplex({1.0f, 0.0f}, {0.0f, 0.0f}));
    CORRADE_COMPARE(a.length(), 1.0f);
    CORRADE_COMPARE(b.length(), 1.0f);
}

void DualComplexTest::constructFromVector() {
    constexpr DualComplex a(Vector2(1.5f, -3.0f));
    CORRADE_COMPARE(a, DualComplex({1.0f, 0.0f}, {1.5f, -3.0f}));

    /* Implicit conversion is not allowed */
    CORRADE_VERIFY(!(std::is_convertible<Vector2, DualComplex>::value));
}

void DualComplexTest::constructCopy() {
    constexpr Math::Dual<Complex> a({-1.0f, 2.5f}, {3.0f, -7.5f});
    constexpr DualComplex b(a);
    CORRADE_COMPARE(b, DualComplex({-1.0f, 2.5f}, {3.0f, -7.5f}));
}

void DualComplexTest::convert() {
    constexpr DualCmpl a{1.5f, -3.5f, 7.0f, -0.5f};
    constexpr DualComplex b{{1.5f, -3.5f}, {7.0f, -0.5f}};

    /* GCC 5.1 fills the result with zeros instead of properly calling
       delegated copy constructor if using constexpr. Reported here:
       https://gcc.gnu.org/bugzilla/show_bug.cgi?id=66450 */
    #if !defined(__GNUC__) || defined(__clang__)
    constexpr
    #endif
    DualComplex c{a};
    CORRADE_COMPARE(c, b);

    constexpr DualCmpl d(b);
    CORRADE_COMPARE(d.re, a.re);
    CORRADE_COMPARE(d.im, a.im);
    CORRADE_COMPARE(d.x, a.x);
    CORRADE_COMPARE(d.y, a.y);

    /* Implicit conversion is not allowed */
    CORRADE_VERIFY(!(std::is_convertible<DualCmpl, DualComplex>::value));
    CORRADE_VERIFY(!(std::is_convertible<DualComplex, DualCmpl>::value));
}

void DualComplexTest::isNormalized() {
    CORRADE_VERIFY(!DualComplex({2.0f, 1.0f}, {}).isNormalized());
    CORRADE_VERIFY((DualComplex::rotation(Deg(23.0f))*DualComplex::translation({6.0f, 3.0f})).isNormalized());
}

void DualComplexTest::multiply() {
    DualComplex a({-1.5f,  2.0f}, { 3.0f, -6.5f});
    DualComplex b({ 2.0f, -7.5f}, {-0.5f,  1.0f});;
    CORRADE_COMPARE(a*b, DualComplex({12.0f, 15.25f}, {1.75f, -9.0f}));
}

void DualComplexTest::lengthSquared() {
    DualComplex a({-1.0f, 3.0f}, {0.5f, -2.0f});
    CORRADE_COMPARE(a.lengthSquared(), 10.0f);
}

void DualComplexTest::length() {
    DualComplex a({-1.0f, 3.0f}, {0.5f, -2.0f});
    CORRADE_COMPARE(a.length(), 3.162278f);
}

void DualComplexTest::normalized() {
    DualComplex a({-1.0f, 3.0f}, {0.5f, -2.0f});
    DualComplex b({-0.316228f, 0.948683f}, {0.5f, -2.0f});
    CORRADE_COMPARE(a.normalized().length(), 1.0f);
    CORRADE_COMPARE(a.normalized(), b);
}

void DualComplexTest::complexConjugated() {
    DualComplex a({-1.0f,  2.5f}, {3.0f, -7.5f});
    DualComplex b({-1.0f, -2.5f}, {3.0f,  7.5f});
    CORRADE_COMPARE(a.complexConjugated(), b);
}

void DualComplexTest::dualConjugated() {
    DualComplex a({-1.0f, 2.5f}, { 3.0f, -7.5f});
    DualComplex b({-1.0f, 2.5f}, {-3.0f,  7.5f});
    CORRADE_COMPARE(a.dualConjugated(), b);
}

void DualComplexTest::conjugated() {
    DualComplex a({-1.0f,  2.5f}, { 3.0f, -7.5f});
    DualComplex b({-1.0f, -2.5f}, {-3.0f, -7.5f});
    CORRADE_COMPARE(a.conjugated(), b);
}

void DualComplexTest::inverted() {
    DualComplex a({-1.0f, 1.5f}, {3.0f, -7.5f});
    DualComplex b({-0.307692f, -0.461538f}, {4.384616f, -0.923077f});
    CORRADE_COMPARE(a*a.inverted(), DualComplex());
    CORRADE_COMPARE(a.inverted(), b);
}

void DualComplexTest::invertedNormalized() {
    DualComplex a({-0.316228f,  0.9486831f}, {     3.0f,    -2.5f});
    DualComplex b({-0.316228f, -0.9486831f}, {3.320391f, 2.05548f});

    std::ostringstream o;
    Error::setOutput(&o);
    DualComplex({-1.0f, -2.5f}, {}).invertedNormalized();
    CORRADE_COMPARE(o.str(), "Math::Complex::invertedNormalized(): complex number must be normalized\n");

    DualComplex inverted = a.invertedNormalized();
    CORRADE_COMPARE(a*inverted, DualComplex());
    CORRADE_COMPARE(inverted*a, DualComplex());
    CORRADE_COMPARE(inverted, b);
}

void DualComplexTest::rotation() {
    DualComplex a = DualComplex::rotation(Deg(120.0f));
    CORRADE_COMPARE(a.length(), 1.0f);
    CORRADE_COMPARE(a, DualComplex({-0.5f, 0.8660254f}, {0.0f, 0.0f}));
    CORRADE_COMPARE_AS(a.rotation().angle(), Deg(120.0f), Rad);

    /* Constexpr access to rotation */
    constexpr DualComplex b({-1.0f, 2.0f}, {});
    constexpr Complex c = b.rotation();
    CORRADE_COMPARE(c, Complex(-1.0f, 2.0f));
}

void DualComplexTest::translation() {
    Vector2 vec(1.5f, -3.5f);
    DualComplex a = DualComplex::translation(vec);
    CORRADE_COMPARE(a.length(), 1.0f);
    CORRADE_COMPARE(a, DualComplex({}, {1.5f, -3.5f}));
    CORRADE_COMPARE(a.translation(), vec);
}

void DualComplexTest::combinedTransformParts() {
    Vector2 translation = Vector2(-1.5f, 2.75f);
    DualComplex a = DualComplex::translation(translation)*DualComplex::rotation(Deg(23.0f));
    DualComplex b = DualComplex::rotation(Deg(23.0f))*DualComplex::translation(translation);

    CORRADE_COMPARE_AS(a.rotation().angle(), Deg(23.0f), Rad);
    CORRADE_COMPARE_AS(b.rotation().angle(), Deg(23.0f), Rad);
    CORRADE_COMPARE(a.translation(), translation);
    CORRADE_COMPARE(b.translation(), Complex::rotation(Deg(23.0f)).transformVector(translation));
}

void DualComplexTest::matrix() {
    DualComplex a = DualComplex::rotation(Deg(23.0f))*DualComplex::translation({2.0f, 3.0f});
    Matrix3 m = Matrix3::rotation(Deg(23.0f))*Matrix3::translation({2.0f, 3.0f});

    CORRADE_COMPARE(a.toMatrix(), m);

    std::ostringstream o;
    Error::setOutput(&o);
    DualComplex::fromMatrix(m*2);
    CORRADE_COMPARE(o.str(), "Math::DualComplex::fromMatrix(): the matrix doesn't represent rigid transformation\n");

    DualComplex b = DualComplex::fromMatrix(m);
    CORRADE_COMPARE(b, a);
}

void DualComplexTest::transformPoint() {
    DualComplex a = DualComplex::translation({2.0f, 3.0f})*DualComplex::rotation(Deg(23.0f));
    DualComplex b = DualComplex::rotation(Deg(23.0f))*DualComplex::translation({2.0f, 3.0f});
    Matrix3 m = Matrix3::translation({2.0f, 3.0f})*Matrix3::rotation(Deg(23.0f));
    Matrix3 n = Matrix3::rotation(Deg(23.0f))*Matrix3::translation({2.0f, 3.0f});
    Vector2 v(-3.6f, 0.7f);

    Vector2 transformedA = a.transformPoint(v);
    CORRADE_COMPARE(transformedA, m.transformPoint(v));
    CORRADE_COMPARE(transformedA, Vector2(-1.58733f, 2.237721f));

    Vector2 transformedB = b.transformPoint(v);
    CORRADE_COMPARE(transformedB, n.transformPoint(v));
    CORRADE_COMPARE(transformedB, Vector2(-2.918512f, 2.780698f));
}

void DualComplexTest::debug() {
    std::ostringstream o;

    Debug(&o) << DualComplex({-1.0f, -2.5f}, {-3.0f, -7.5f});
    CORRADE_COMPARE(o.str(), "DualComplex({-1, -2.5}, {-3, -7.5})\n");
}

}}}

CORRADE_TEST_MAIN(Magnum::Math::Test::DualComplexTest)