Clean up quaternion relational API

test/ext/ext_quaternion_geometric.cpp

@@ -0,0 +1,85 @@
+#include <glm/gtc/constants.hpp>
+#include <glm/ext/quaternion_geometric.hpp>
+#include <glm/ext/quaternion_float.hpp>
+#include <glm/ext/quaternion_float_precision.hpp>
+#include <glm/ext/quaternion_double.hpp>
+#include <glm/ext/quaternion_double_precision.hpp>
+#include <glm/ext/vector_float3.hpp>
+#include <glm/ext/vector_float3_precision.hpp>
+#include <glm/ext/vector_double3.hpp>
+#include <glm/ext/vector_double3_precision.hpp>
+#include <glm/ext/scalar_relational.hpp>
+
+#include <glm/gtc/quaternion.hpp>
+
+static int test_angle()
+{
+	int Error = 0;
+
+	{
+		glm::quat const Q = glm::quat(glm::vec3(1, 0, 0), glm::vec3(0, 1, 0));
+		float const A = glm::degrees(glm::angle(Q));
+		Error += glm::equal(A, 90.0f, glm::epsilon<float>()) ? 0 : 1;
+	}
+
+	{
+		glm::quat const Q = glm::quat(glm::vec3(0, 1, 0), glm::vec3(1, 0, 0));
+		float const A = glm::degrees(glm::angle(Q));
+		Error += glm::equal(A, 90.0f, glm::epsilon<float>()) ? 0 : 1;
+	}
+
+	return Error;
+}
+
+static int test_length()
+{
+	int Error = 0;
+
+	{
+		float const A = glm::length(glm::quat(1, 0, 0, 0));
+		Error += glm::equal(A, 1.0f, glm::epsilon<float>()) ? 0 : 1;
+	}
+
+	{
+		float const A = glm::length(glm::quat(1, glm::vec3(0)));
+		Error += glm::equal(A, 1.0f, glm::epsilon<float>()) ? 0 : 1;
+	}
+
+	{
+		float const A = glm::length(glm::quat(glm::vec3(1, 0, 0), glm::vec3(0, 1, 0)));
+		Error += glm::equal(A, 1.0f, glm::epsilon<float>()) ? 0 : 1;
+	}
+
+	return Error;
+}
+
+static int test_normalize()
+{
+	int Error = 0;
+
+	{
+		glm::quat const A = glm::quat(1, 0, 0, 0);
+		glm::quat const N = glm::normalize(A);
+		Error += glm::all(glm::equal(A, N, glm::epsilon<float>())) ? 0 : 1;
+	}
+
+	{
+		glm::quat const A = glm::quat(1, glm::vec3(0));
+		glm::quat const N = glm::normalize(A);
+		Error += glm::all(glm::equal(A, N, glm::epsilon<float>())) ? 0 : 1;
+	}
+
+	return Error;
+}
+
+
+int main()
+{
+	int Error = 0;
+
+	Error += test_angle();
+	Error += test_length();
+	Error += test_normalize();
+
+	return Error;
+}