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350 lines
10 KiB
C++
350 lines
10 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @file test/gtc/gtc_quaternion.cpp
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/// @date 2010-09-16 / 2014-11-25
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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#define GLM_META_PROG_HELPERS
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#include <glm/gtc/quaternion.hpp>
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#include <glm/gtc/epsilon.hpp>
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#include <glm/vector_relational.hpp>
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#include <vector>
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int test_quat_angle()
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{
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int Error = 0;
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.01f) ? 0 : 1;
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float A = glm::angle(N);
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Error += glm::epsilonEqual(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1;
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}
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::normalize(glm::vec3(0, 1, 1)));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.01f) ? 0 : 1;
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float A = glm::angle(N);
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Error += glm::epsilonEqual(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1;
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}
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::normalize(glm::vec3(1, 2, 3)));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.01f) ? 0 : 1;
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float A = glm::angle(N);
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Error += glm::epsilonEqual(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1;
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}
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return Error;
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}
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int test_quat_angleAxis()
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{
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int Error = 0;
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glm::quat A = glm::angleAxis(0.0f, glm::vec3(0, 0, 1));
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glm::quat B = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1));
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glm::quat C = glm::mix(A, B, 0.5f);
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glm::quat D = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1));
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Error += glm::epsilonEqual(C.x, D.x, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.y, D.y, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.z, D.z, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.w, D.w, 0.01f) ? 0 : 1;
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return Error;
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}
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int test_quat_mix()
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{
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int Error = 0;
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glm::quat A = glm::angleAxis(0.0f, glm::vec3(0, 0, 1));
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glm::quat B = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1));
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glm::quat C = glm::mix(A, B, 0.5f);
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glm::quat D = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1));
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Error += glm::epsilonEqual(C.x, D.x, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.y, D.y, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.z, D.z, 0.01f) ? 0 : 1;
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Error += glm::epsilonEqual(C.w, D.w, 0.01f) ? 0 : 1;
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return Error;
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}
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int test_quat_precision()
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{
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int Error = 0;
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Error += sizeof(glm::lowp_quat) <= sizeof(glm::mediump_quat) ? 0 : 1;
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Error += sizeof(glm::mediump_quat) <= sizeof(glm::highp_quat) ? 0 : 1;
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return Error;
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}
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int test_quat_normalize()
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{
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int Error(0);
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.000001f) ? 0 : 1;
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}
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 2));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.000001f) ? 0 : 1;
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}
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{
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glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(1, 2, 3));
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glm::quat N = glm::normalize(Q);
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float L = glm::length(N);
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Error += glm::epsilonEqual(L, 1.0f, 0.000001f) ? 0 : 1;
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}
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return Error;
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}
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int test_quat_euler()
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{
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int Error(0);
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{
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glm::quat q(1.0f, 0.0f, 0.0f, 1.0f);
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float Roll = glm::roll(q);
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float Pitch = glm::pitch(q);
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float Yaw = glm::yaw(q);
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glm::vec3 Angles = glm::eulerAngles(q);
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}
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{
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glm::dquat q(1.0f, 0.0f, 0.0f, 1.0f);
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double Roll = glm::roll(q);
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double Pitch = glm::pitch(q);
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double Yaw = glm::yaw(q);
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glm::dvec3 Angles = glm::eulerAngles(q);
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}
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return Error;
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}
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int test_quat_slerp()
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{
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int Error(0);
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float const Epsilon = 0.0001f;//glm::epsilon<float>();
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float sqrt2 = sqrt(2.0f)/2.0f;
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glm::quat id;
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glm::quat Y90rot(sqrt2, 0.0f, sqrt2, 0.0f);
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glm::quat Y180rot(0.0f, 0.0f, 1.0f, 0.0f);
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// Testing a == 0
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// Must be id
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glm::quat id2 = glm::slerp(id, Y90rot, 0.0f);
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Error += glm::all(glm::epsilonEqual(id, id2, Epsilon)) ? 0 : 1;
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// Testing a == 1
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// Must be 90<39> rotation on Y : 0 0.7 0 0.7
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glm::quat Y90rot2 = glm::slerp(id, Y90rot, 1.0f);
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Error += glm::all(glm::epsilonEqual(Y90rot, Y90rot2, Epsilon)) ? 0 : 1;
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// Testing standard, easy case
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// Must be 45<34> rotation on Y : 0 0.38 0 0.92
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glm::quat Y45rot1 = glm::slerp(id, Y90rot, 0.5f);
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// Testing reverse case
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// Must be 45<34> rotation on Y : 0 0.38 0 0.92
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glm::quat Ym45rot2 = glm::slerp(Y90rot, id, 0.5f);
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// Testing against full circle around the sphere instead of shortest path
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// Must be 45<34> rotation on Y
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// certainly not a 135<33> rotation
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glm::quat Y45rot3 = glm::slerp(id , -Y90rot, 0.5f);
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float Y45angle3 = glm::angle(Y45rot3);
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Error += glm::epsilonEqual(Y45angle3, glm::pi<float>() * 0.25f, Epsilon) ? 0 : 1;
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Error += glm::all(glm::epsilonEqual(Ym45rot2, Y45rot3, Epsilon)) ? 0 : 1;
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// Same, but inverted
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// Must also be 45<34> rotation on Y : 0 0.38 0 0.92
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// -0 -0.38 -0 -0.92 is ok too
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glm::quat Y45rot4 = glm::slerp(-Y90rot, id, 0.5f);
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Error += glm::all(glm::epsilonEqual(Ym45rot2, -Y45rot4, Epsilon)) ? 0 : 1;
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// Testing q1 = q2
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// Must be 90<39> rotation on Y : 0 0.7 0 0.7
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glm::quat Y90rot3 = glm::slerp(Y90rot, Y90rot, 0.5f);
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Error += glm::all(glm::epsilonEqual(Y90rot, Y90rot3, Epsilon)) ? 0 : 1;
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// Testing 180<38> rotation
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// Must be 90<39> rotation on almost any axis that is on the XZ plane
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glm::quat XZ90rot = glm::slerp(id, -Y90rot, 0.5f);
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float XZ90angle = glm::angle(XZ90rot); // Must be PI/4 = 0.78;
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Error += glm::epsilonEqual(XZ90angle, glm::pi<float>() * 0.25f, Epsilon) ? 0 : 1;
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// Testing almost equal quaternions (this test should pass through the linear interpolation)
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// Must be 0 0.00X 0 0.99999
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glm::quat almostid = glm::slerp(id, glm::angleAxis(0.1f, glm::vec3(0.0f, 1.0f, 0.0f)), 0.5f);
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// Testing quaternions with opposite sign
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{
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glm::quat a(-1, 0, 0, 0);
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glm::quat result = glm::slerp(a, id, 0.5f);
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Error += glm::epsilonEqual(glm::pow(glm::dot(id, result), 2.f), 1.f, 0.01f) ? 0 : 1;
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}
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return Error;
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}
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int test_quat_mul()
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{
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int Error(0);
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glm::quat temp1 = glm::normalize(glm::quat(1.0f, glm::vec3(0.0, 1.0, 0.0)));
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glm::quat temp2 = glm::normalize(glm::quat(0.5f, glm::vec3(1.0, 0.0, 0.0)));
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glm::vec3 transformed0 = (temp1 * glm::vec3(0.0, 1.0, 0.0) * glm::inverse(temp1));
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glm::vec3 temp4 = temp2 * transformed0 * glm::inverse(temp2);
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glm::quat temp5 = glm::normalize(temp1 * temp2);
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glm::vec3 temp6 = temp5 * glm::vec3(0.0, 1.0, 0.0) * glm::inverse(temp5);
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# ifndef GLM_FORCE_NO_CTOR_INIT
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{
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glm::quat temp7;
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temp7 *= temp5;
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temp7 *= glm::inverse(temp5);
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Error += temp7 != glm::quat();
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}
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# endif
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return Error;
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}
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int test_quat_two_axis_ctr()
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{
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int Error(0);
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glm::quat q1(glm::vec3(1, 0, 0), glm::vec3(0, 1, 0));
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glm::vec3 v1 = q1 * glm::vec3(1, 0, 0);
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Error += glm::all(glm::epsilonEqual(v1, glm::vec3(0, 1, 0), 0.0001f)) ? 0 : 1;
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glm::quat q2 = q1 * q1;
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glm::vec3 v2 = q2 * glm::vec3(1, 0, 0);
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Error += glm::all(glm::epsilonEqual(v2, glm::vec3(-1, 0, 0), 0.0001f)) ? 0 : 1;
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return Error;
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}
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int test_quat_type()
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{
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glm::quat A;
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glm::dquat B;
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return 0;
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}
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int test_quat_mul_vec()
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{
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int Error(0);
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glm::quat q = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1));
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glm::vec3 v(1, 0, 0);
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glm::vec3 u(q * v);
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glm::vec3 w(u * q);
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Error += glm::all(glm::epsilonEqual(v, w, 0.01f)) ? 0 : 1;
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return Error;
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}
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int test_quat_ctr()
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{
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int Error(0);
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# if GLM_HAS_TRIVIAL_QUERIES
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// Error += std::is_trivially_default_constructible<glm::quat>::value ? 0 : 1;
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// Error += std::is_trivially_default_constructible<glm::dquat>::value ? 0 : 1;
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// Error += std::is_trivially_copy_assignable<glm::quat>::value ? 0 : 1;
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// Error += std::is_trivially_copy_assignable<glm::dquat>::value ? 0 : 1;
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Error += std::is_trivially_copyable<glm::quat>::value ? 0 : 1;
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Error += std::is_trivially_copyable<glm::dquat>::value ? 0 : 1;
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Error += std::is_copy_constructible<glm::quat>::value ? 0 : 1;
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Error += std::is_copy_constructible<glm::dquat>::value ? 0 : 1;
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# endif
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# if GLM_HAS_INITIALIZER_LISTS
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{
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glm::quat A{0, 1, 2, 3};
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std::vector<glm::quat> B{
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{0, 1, 2, 3},
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{0, 1, 2, 3}};
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}
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# endif//GLM_HAS_INITIALIZER_LISTS
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return Error;
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}
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int main()
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{
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int Error(0);
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#ifdef GLM_META_PROG_HELPERS
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assert(glm::quat::components == 4);
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assert(glm::quat::components == glm::quat().length());
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#endif
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Error += test_quat_ctr();
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Error += test_quat_mul_vec();
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Error += test_quat_two_axis_ctr();
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Error += test_quat_mul();
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Error += test_quat_precision();
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Error += test_quat_type();
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Error += test_quat_angle();
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Error += test_quat_angleAxis();
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Error += test_quat_mix();
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Error += test_quat_normalize();
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Error += test_quat_euler();
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Error += test_quat_slerp();
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return Error;
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}
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