Add tests for mju_normalize4.
PiperOrigin-RevId: 648422309 Change-Id: Ie363b396cd854588dc59994ae76059f42f2a54b0
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Copybara-Service
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@@ -16,6 +16,8 @@
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#include "src/engine/engine_util_blas.h"
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#include <random>
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#include <gmock/gmock.h>
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#include <gtest/gtest.h>
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#include <mujoco/mjtnum.h>
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@@ -128,5 +130,88 @@ TEST_F(EngineUtilBlasTest, MjuMulMat3) {
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}
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}
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// utility: random quaternion, normally distributed
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void RandomQuat(mjtNum quat[4], int seed) {
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// make distribution using seed
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std::mt19937_64 rng;
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rng.seed(seed);
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std::normal_distribution<mjtNum> dist(0, 1);
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// sample
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for (int i = 0; i < 4; i++) {
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quat[i] = dist(rng);
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}
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}
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TEST_F(EngineUtilBlasTest, Normalize4IsIdempotent) {
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for (int i = 0; i < 10000; ++i) {
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// make random quaternion and normalize it
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mjtNum quat[4];
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RandomQuat(quat, i);
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mju_normalize4(quat);
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// normalize again
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mjtNum quat_renormalized[4] = {quat[0], quat[1], quat[2], quat[3]};
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mju_normalize4(quat_renormalized);
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// expect equality
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EXPECT_EQ(quat[0], quat_renormalized[0]);
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EXPECT_EQ(quat[1], quat_renormalized[1]);
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EXPECT_EQ(quat[2], quat_renormalized[2]);
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EXPECT_EQ(quat[3], quat_renormalized[3]);
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}
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}
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TEST_F(EngineUtilBlasTest, Normalize4EdgeCases) {
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// zero quat normalizes to unit quat
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mjtNum quat[4] = {0};
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mjtNum norm = mju_normalize4(quat);
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EXPECT_EQ(norm, 0);
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EXPECT_EQ(quat[0], 1);
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EXPECT_EQ(quat[1], 0);
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EXPECT_EQ(quat[2], 0);
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EXPECT_EQ(quat[3], 0);
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// small quat normalizes regularly
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quat[0] = 0;
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quat[1] = mjMINVAL;
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norm = mju_normalize4(quat);
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EXPECT_EQ(norm, mjMINVAL);
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EXPECT_EQ(quat[0], 0);
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EXPECT_EQ(quat[1], 1);
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EXPECT_EQ(quat[2], 0);
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EXPECT_EQ(quat[3], 0);
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// tiny quat normalizes to unit quat
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quat[0] = 0;
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quat[1] = mjMINVAL/2;
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norm = mju_normalize4(quat);
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EXPECT_EQ(norm, mjMINVAL/2);
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EXPECT_EQ(quat[0], 1);
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EXPECT_EQ(quat[1], 0);
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EXPECT_EQ(quat[2], 0);
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EXPECT_EQ(quat[3], 0);
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// near-unit quat is normalized
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quat[0] = 1 + mjMINVAL;
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quat[1] = 0;
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norm = mju_normalize4(quat);
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EXPECT_EQ(norm, 1 + mjMINVAL);
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EXPECT_EQ(quat[0], 1);
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EXPECT_EQ(quat[1], 0);
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EXPECT_EQ(quat[2], 0);
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EXPECT_EQ(quat[3], 0);
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// very-near-unit quat is untouched
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quat[0] = 1 + mjMINVAL/2;
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quat[1] = 0;
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norm = mju_normalize4(quat);
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EXPECT_EQ(norm, 1 + mjMINVAL/2);
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EXPECT_EQ(quat[0], 1 + mjMINVAL/2);
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EXPECT_EQ(quat[1], 0);
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EXPECT_EQ(quat[2], 0);
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EXPECT_EQ(quat[3], 0);
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}
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} // namespace
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} // namespace mujoco
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