quaternion.cu

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/*! \file
    \brief Unit tests for the CUTLASS Quaternion template class.
*/

#include "../common/cutlass_unit_test.h"
#include "cutlass/cutlass.h"
#include "cutlass/core_io.h"
#include "cutlass/quaternion.h"
#include "cutlass/numeric_conversion.h"
#include "cutlass/constants.h"
  
/////////////////////////////////////////////////////////////////////////////////////////////////

static float const half_pi = cutlass::constants::half_pi<float>();

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, add_f32) {

  cutlass::Quaternion<float> q0(1, 1, 1, 1);
  cutlass::Quaternion<float> q1(0, 0, 0, 2);

  cutlass::Quaternion<float> q2 = q0 + q1;

  EXPECT_TRUE(
    q2.x() == 1 &&
    q2.y() == 1 &&
    q2.z() == 1 &&
    q2.w() == 3
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, rotation) {

  cutlass::Matrix3x1<float> x(1.0f, 0.0f, 0.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi) * 2.0f;
  cutlass::Matrix3x1<float> v = q.rotate(x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, rotation_inv) {
  
  cutlass::Matrix3x1<float> x(1.0f, 0.0f, 0.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi) * 2.0f;
  cutlass::Matrix3x1<float> v = q.rotate(x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(-v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, spinor_rotation) {
  
  cutlass::Matrix3x1<float> x(1.0f, 0.0f, 0.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi);
  cutlass::Matrix3x1<float> v = cutlass::spinor_rotation(q, x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, spinor_rotation_inv) {
  
  cutlass::Matrix3x1<float> x(1.0f, 0.0f, 0.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi);
  cutlass::Matrix3x1<float> v = cutlass::spinor_rotation_inv(q, x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(-v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, as_rotation_matrix3x3) {
  
  cutlass::Matrix3x1<float> x(1.0f, 0.0f, 0.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi);
  cutlass::Matrix3x1<float> v = q.as_rotation_matrix_3x3().product(x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon
  );
}


/////////////////////////////////////////////////////////////////////////////////////////////////

TEST(Quaternion, as_rotation_matrix4x4) {

  cutlass::Matrix4x1<float> x(1.0f, 0.0f, 0.0f, 1.0f);
  cutlass::Quaternion<float> q = cutlass::Quaternion<float>::rotation(0, 0, 1, half_pi);
  cutlass::Matrix4x1<float> v = q.as_rotation_matrix_4x4().product(x);

  float epsilon = 0.001f;

  EXPECT_TRUE(
    std::abs(v.at(0)) < epsilon &&
    std::abs(v.at(1)) > (1 - epsilon) &&
    std::abs(v.at(2)) < epsilon &&
    std::abs(v.at(3)) > (1 - epsilon)
  );
}

/////////////////////////////////////////////////////////////////////////////////////////////////