/* * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at https://mozilla.org/MPL/2.0/. */ #include #include #include #include "Math/Float16.hpp" // using namespace OpenVulkano::Math; namespace { bool almostEqual(float a, float b, float epsilon = 0.001f) { return std::fabs(a - b) < epsilon; } } TEST_CASE("Basic Conversions", "[float16]") { REQUIRE(almostEqual(static_cast(fp16(0.0f)), 0.0f)); REQUIRE(almostEqual(static_cast(fp16(-0.0f)), -0.0f)); REQUIRE(almostEqual(static_cast(fp16(1.0f)), 1.0f)); REQUIRE(almostEqual(static_cast(fp16(-1.0f)), -1.0f)); REQUIRE(almostEqual(static_cast(fp16(0.5f)), 0.5f)); REQUIRE(almostEqual(static_cast(fp16(-0.5f)), -0.5f)); REQUIRE(almostEqual(static_cast(fp16(65504.0f)), 65504.0f)); REQUIRE(almostEqual(static_cast(fp16(-65504.0f)), -65504.0f)); } TEST_CASE("Infinity and NaN", "[float16]") { fp16 neg_inf = -std::numeric_limits::infinity(); fp16 min_val = std::numeric_limits::min(); fp16 max_val = std::numeric_limits::max(); fp16 epsilon_val = std::numeric_limits::epsilon(); fp16 round_err_val = std::numeric_limits::round_error(); fp16 denorm_min = std::numeric_limits::denorm_min(); fp16 pos_inf = std::numeric_limits::infinity(); fp16 nan_val = std::numeric_limits::quiet_NaN(); fp16 snan_val = std::numeric_limits::signaling_NaN(); INFO("Value of 16 min: " << std::hex << *(uint16_t *)&min_val); INFO("Value of 16 max: " << std::hex << *(uint16_t *)&max_val); INFO("Value of 16 epsilon: " << std::hex << *(uint16_t *)&epsilon_val); INFO("Value of 16 round_error: " << std::hex << *(uint16_t *)&round_err_val); INFO("Value of 16 denorm_min: " << std::hex << *(uint16_t *)&denorm_min); INFO("Value of 16 pos_inf: " << std::hex << *(uint16_t *)&pos_inf); INFO("Value of 16 neg_inf: " << std::hex << *(uint16_t *)&neg_inf); INFO("Value of 16 nan: " << std::hex << *(uint16_t *)&nan_val); INFO("Value of 16 snan: " << std::hex << *(uint16_t *)&snan_val); INFO("Value of pos_inf: " << static_cast(pos_inf)); INFO("Value of neg_inf: " << static_cast(neg_inf)); INFO("Value of nan_val: " << static_cast(nan_val)); INFO("Result of comparison: " << (nan_val != nan_val)); INFO("Value of true pos_inf: " << std::numeric_limits::infinity()); INFO("Value of true neg_inf: " << -std::numeric_limits::infinity()); INFO("Value of true nan: " << std::numeric_limits::quiet_NaN()); auto _inf = std::numeric_limits::infinity(); auto _ninf = -std::numeric_limits::infinity(); auto _nan = std::numeric_limits::quiet_NaN(); INFO("Value of true pos_inf: " << std::hex << *(uint32_t *)&_inf); INFO("Value of true neg_inf: " << std::hex << *(uint32_t *)&_ninf); INFO("Value of true nan: " << std::hex << *(uint32_t *)&_nan); CHECK(std::isinf(static_cast(pos_inf))); CHECK(std::isinf(static_cast(neg_inf))); CHECK(std::isnan(static_cast(nan_val))); CHECK(pos_inf > fp16(65504.0f)); CHECK(neg_inf < fp16(-65504.0f)); } TEST_CASE("Denormalized Values", "[float16]") { fp16 min_denorm = std::numeric_limits::denorm_min(); REQUIRE(almostEqual(static_cast(min_denorm), 5.96e-8f)); fp16 denorm_value(1.0e-5f); REQUIRE(almostEqual(static_cast(denorm_value), 0.0f)); } TEST_CASE("Special Cases", "[float16]") { fp16 zero(0.0f), neg_zero(-0.0f), epsilon_fp(std::numeric_limits::epsilon()); fp16 min_normal(std::numeric_limits::min()); fp16 max_fp(std::numeric_limits::max()); INFO("Value of max_fp: " << static_cast(max_fp)); CHECK(almostEqual(static_cast(zero), 0.0f)); CHECK(almostEqual(static_cast(neg_zero), 0.0f)); CHECK(almostEqual(static_cast(epsilon_fp), 0.00097656f)); CHECK(almostEqual(static_cast(min_normal), 6.10352e-5f)); CHECK(almostEqual(static_cast(max_fp), 65504.0f)); } TEST_CASE("Arithmetic Operations", "[float16]") { fp16 a(1.0f), b(2.0f), c(3.0f), d(4.0f), large(65504.0f), small(0.5f); REQUIRE(almostEqual(static_cast(a + b), 3.0f)); REQUIRE(almostEqual(static_cast(b - a), 1.0f)); REQUIRE(almostEqual(static_cast(a * b), 2.0f)); REQUIRE(almostEqual(static_cast(d / c), 1.33333f)); REQUIRE(almostEqual(static_cast(large * small), 32752.0f)); REQUIRE(std::isinf(static_cast(large + large))); REQUIRE(almostEqual(static_cast(a - a), 0.0f)); } TEST_CASE("Comparisons", "[float16]") { fp16 a(1.0f), b(2.0f), zero(0.0f), neg(-1.0f), inf = std::numeric_limits::infinity(); INFO("Value of inf: " << static_cast(inf)); INFO("Value of zero: " << static_cast(zero)); INFO("Value of neg: " << static_cast(neg)); CHECK(a < b); CHECK(b > a); CHECK(zero == -zero); CHECK(a != neg); CHECK(inf > b); CHECK(!(inf < b)); } TEST_CASE("Arithmetic with Special Values", "[float16]") { fp16 a(2.0f), inf = std::numeric_limits::infinity(), nan = std::numeric_limits::quiet_NaN(); INFO("Value of a: " << static_cast(a)); INFO("Value of inf: " << static_cast(inf)); INFO("Value of nan: " << static_cast(nan)); REQUIRE(std::isinf(static_cast(a + inf))); REQUIRE(std::isinf(static_cast(inf - a))); REQUIRE(std::isnan(static_cast(inf - inf))); REQUIRE(std::isnan(static_cast(inf / inf))); REQUIRE(std::isnan(static_cast(nan + a))); REQUIRE(std::isnan(static_cast(nan - a))); REQUIRE(std::isnan(static_cast(a * nan))); REQUIRE(std::isnan(static_cast(a / nan))); } TEST_CASE("Boundary Tests", "[float16]") { fp16 near_min(6.10352e-5f), near_max(65504.0f), tiny_pos(1.0e-8f), tiny_neg(-1.0e-8f); REQUIRE(almostEqual(static_cast(near_min), 6.10352e-5f)); REQUIRE(almostEqual(static_cast(near_max), 65504.0f)); REQUIRE(almostEqual(static_cast(tiny_pos), 0.0f)); REQUIRE(almostEqual(static_cast(tiny_neg), 0.0f)); } TEST_CASE("Edge Case Conversions", "[float16]") { fp16 max_convertible_fp(65504.0f), too_large(70000.0f), too_small(1.0e-8f); REQUIRE(almostEqual(static_cast(max_convertible_fp), 65504.0f)); REQUIRE(std::isinf(static_cast(too_large))); REQUIRE(almostEqual(static_cast(too_small), 0.0f)); } TEST_CASE("Special Comparison with Infinity and NaN", "[float16]") { fp16 inf = std::numeric_limits::infinity(); fp16 neg_inf = -std::numeric_limits::infinity(); fp16 nan = std::numeric_limits::quiet_NaN(); fp16 one(1.0f); INFO("Value of one: " << static_cast(one)); INFO("Value of inf: " << static_cast(inf)); INFO("Value of neg_inf: " << static_cast(neg_inf)); INFO("Value of nan: " << static_cast(nan)); CHECK(inf > one); CHECK(neg_inf < -one); CHECK(std::isnan(static_cast(nan))); CHECK(nan != nan); }