// // Lol Engine // // Copyright: (c) 2010-2011 Sam Hocevar // This program is free software; you can redistribute it and/or // modify it under the terms of the Do What The Fuck You Want To // Public License, Version 2, as published by Sam Hocevar. See // http://www.wtfpl.net/ for more details. // #if defined HAVE_CONFIG_H # include "config.h" #endif #include "core.h" #include "lol/unit.h" namespace lol { LOLUNIT_FIXTURE(QuaternionTest) { void SetUp() {} void TearDown() {} LOLUNIT_TEST(Equality) { quat a4(1.f, 2.f, 3.f, 4.f); quat b4(0.f, 2.f, 3.f, 4.f); quat c4(1.f, 0.f, 3.f, 4.f); quat d4(1.f, 2.f, 0.f, 4.f); quat e4(1.f, 2.f, 3.f, 0.f); LOLUNIT_ASSERT_EQUAL(a4, a4); LOLUNIT_ASSERT_NOT_DIFFERENT(a4, a4); LOLUNIT_ASSERT_DIFFERENT(a4, b4); LOLUNIT_ASSERT_NOT_EQUAL(a4, b4); LOLUNIT_ASSERT_DIFFERENT(a4, c4); LOLUNIT_ASSERT_NOT_EQUAL(a4, c4); LOLUNIT_ASSERT_DIFFERENT(a4, d4); LOLUNIT_ASSERT_NOT_EQUAL(a4, d4); LOLUNIT_ASSERT_DIFFERENT(a4, e4); LOLUNIT_ASSERT_NOT_EQUAL(a4, e4); } LOLUNIT_TEST(UnaryMinus) { quat a(1.f, 3.f, 2.f, 4.f); quat b(-1.f, -3.f, -2.f, -4.f); LOLUNIT_ASSERT_EQUAL(a, -b); LOLUNIT_ASSERT_EQUAL(-a, b); } LOLUNIT_TEST(Conjugate) { quat a(1.f, 3.f, 2.f, 4.f); quat b(1.f, -3.f, -2.f, -4.f); LOLUNIT_ASSERT_EQUAL(a, ~b); LOLUNIT_ASSERT_EQUAL(~a, b); } LOLUNIT_TEST(Norm) { quat a(2.f, -2.f, -8.f, 3.f); LOLUNIT_ASSERT_EQUAL(norm(a), 9.f); quat b = a * ~a; quat c(norm(a) * norm(a), 0.f, 0.f, 0.f); LOLUNIT_ASSERT_EQUAL(b, c); quat d(2.f, 5.f, -4.f, -2.f); LOLUNIT_ASSERT_EQUAL(norm(a * d), norm(a) * norm(d)); } LOLUNIT_TEST(Dot) { quat a(-1.f, 2.f, -3.f, 4.f); quat b(8.f, 7.f, 6.f, 5.f); LOLUNIT_ASSERT_EQUAL(dot(a, b), 8.f); } LOLUNIT_TEST(Base) { quat one(1.f, 0.f, 0.f, 0.f); quat i(0.f, 1.f, 0.f, 0.f); quat j(0.f, 0.f, 1.f, 0.f); quat k(0.f, 0.f, 0.f, 1.f); LOLUNIT_ASSERT_EQUAL(norm(one), 1.f); LOLUNIT_ASSERT_EQUAL(norm(i), 1.f); LOLUNIT_ASSERT_EQUAL(norm(j), 1.f); LOLUNIT_ASSERT_EQUAL(norm(k), 1.f); LOLUNIT_ASSERT_EQUAL(i * i, -one); LOLUNIT_ASSERT_EQUAL(j * j, -one); LOLUNIT_ASSERT_EQUAL(k * k, -one); LOLUNIT_ASSERT_EQUAL(i * j * k, -one); LOLUNIT_ASSERT_EQUAL(i * j, k); LOLUNIT_ASSERT_EQUAL(j * i, -k); LOLUNIT_ASSERT_EQUAL(j * k, i); LOLUNIT_ASSERT_EQUAL(k * j, -i); LOLUNIT_ASSERT_EQUAL(k * i, j); LOLUNIT_ASSERT_EQUAL(i * k, -j); } LOLUNIT_TEST(Normalize) { quat a(2.f, -2.f, -8.f, 3.f); quat b = normalize(a); LOLUNIT_ASSERT_DOUBLES_EQUAL(norm(b), 1.0, 1e-5); } LOLUNIT_TEST(Reciprocal) { quat a(2.f, -2.f, -8.f, 3.f); quat b = re(a); quat c = 1.f / a; LOLUNIT_ASSERT_DOUBLES_EQUAL(b.w, c.w, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(b.x, c.x, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(b.y, c.y, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(b.z, c.z, 1e-5); quat m1 = a * b; quat m2 = b * a; LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.w, m2.w, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.x, m2.x, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.y, m2.y, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.z, m2.z, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.w, 1.0, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.x, 0.0, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.y, 0.0, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(m1.z, 0.0, 1e-5); } LOLUNIT_TEST(Rotation) { /* Check that rotating 10 degrees twice means rotating 20 degrees */ quat a = quat::rotate(10.f, vec3(1, 0, 0)); quat b = quat::rotate(20.f, vec3(1, 0, 0)); quat c = a * a; LOLUNIT_ASSERT_DOUBLES_EQUAL(c.w, b.w, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(c.x, b.x, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(c.y, b.y, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(c.z, b.z, 1e-5); /* Check that rotating 10 degrees then 20 is the same as 20 then 10 */ quat d = a * b; quat e = b * a; LOLUNIT_ASSERT_DOUBLES_EQUAL(e.w, d.w, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(e.x, d.x, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(e.y, d.y, 1e-5); LOLUNIT_ASSERT_DOUBLES_EQUAL(e.z, d.z, 1e-5); } }; } /* namespace lol */