/* * Copyright (c) 2021, the SerenityOS developers. * * SPDX-License-Identifier: BSD-2-Clause */ #include #include #include using Type = FixedPoint<4>; TEST_CASE(arithmetic) { EXPECT_EQ( Type(0.5) + Type(0.5), Type(1)); EXPECT_EQ( Type(1) + Type(0.5), Type(1.5)); EXPECT_EQ( (float)(Type(1) + Type(0.5)), 1.5f); // FIXME: Test for rounded multiply EXPECT_EQ( Type((int)1) * Type(0.5), Type(0.5)); EXPECT_EQ( Type((int)1) / Type(0.5), Type(2)); } TEST_CASE(rounding) { EXPECT_EQ(Type(0.5).round(), Type(0)); EXPECT_EQ(Type(0.5).floor(), Type(0)); EXPECT_EQ(Type(0.5).ceil(), Type(1)); EXPECT_EQ(Type(0.75).trunk(), Type(0)); EXPECT_EQ(Type(1.5).round(), Type(2)); EXPECT_EQ(Type(1.5).floor(), Type(1)); EXPECT_EQ(Type(1.5).ceil(), Type(2)); EXPECT_EQ(Type(1.25).trunk(), Type(1)); EXPECT_EQ(Type(-0.5).round(), Type(0)); EXPECT_EQ(Type(-0.5).floor(), Type(-1)); EXPECT_EQ(Type(-0.5).ceil(), Type(0)); EXPECT_EQ(Type(-0.75).trunk(), Type(0)); EXPECT_EQ(Type(-1.5).round(), Type(-2)); EXPECT_EQ(Type(-1.5).floor(), Type(-2)); EXPECT_EQ(Type(-1.5).ceil(), Type(-1)); EXPECT_EQ(Type(-1.25).trunk(), Type(-1)); EXPECT_EQ(Type(0.5).lround(), 0); EXPECT_EQ(Type(0.5).lfloor(), 0); EXPECT_EQ(Type(0.5).lceil(), 1); EXPECT_EQ(Type(0.5).ltrunk(), 0); EXPECT_EQ(Type(1.5).lround(), 2); EXPECT_EQ(Type(1.5).lfloor(), 1); EXPECT_EQ(Type(1.5).lceil(), 2); EXPECT_EQ(Type(1.5).ltrunk(), 1); EXPECT_EQ(Type(-0.5).lround(), 0); EXPECT_EQ(Type(-0.5).lfloor(), -1); EXPECT_EQ(Type(-0.5).lceil(), 0); EXPECT_EQ(Type(-0.5).ltrunk(), 0); EXPECT_EQ(Type(-1.5).lround(), -2); EXPECT_EQ(Type(-1.5).lfloor(), -2); EXPECT_EQ(Type(-1.5).lceil(), -1); EXPECT_EQ(Type(-1.5).ltrunk(), -1); } TEST_CASE(logarithm) { EXPECT_EQ(Type(0).log2().raw(), NumericLimits::min()); EXPECT_EQ(Type(1).log2(), Type(0)); EXPECT_EQ(Type(2).log2(), Type(1)); EXPECT_EQ(Type(8).log2(), Type(3)); EXPECT_EQ(Type(0.5).log2(), Type(-1)); EXPECT_EQ(Type(22.627416997969520780827019587355).log2(), Type(4.4375)); EXPECT_EQ(Type(3088).log2(), Type(11.592457037268080419637304576833)); } TEST_CASE(comparison) { EXPECT(Type(0) < 1); EXPECT(Type(0) <= 1); EXPECT(Type(0) <= 0); EXPECT(Type(-10) <= -10); EXPECT(Type(4.25) > 4); EXPECT(Type(4.25) >= 4); EXPECT(Type(4.25) <= 5); EXPECT(Type(4.25) < 5); EXPECT(Type(1.5) > 1); EXPECT(!(FixedPoint<4, u8>(2) > 128)); EXPECT(!(FixedPoint<4, u8>(2) >= 128)); EXPECT(Type(-6.25) < -6); EXPECT(Type(-6.25) <= -6); EXPECT(Type(-6.75) > -7); EXPECT(Type(-6.75) >= -7); EXPECT(Type(17) == 17); EXPECT(Type(-8) != -9); } TEST_CASE(cast) { FixedPoint<16, u32> downcast_value1(FixedPoint<32, u64>(123.4567)); EXPECT((double)downcast_value1 >= 123.4566 && (double)downcast_value1 <= 123.4568); static constexpr FixedPoint<32, u64> value1(321.7654); downcast_value1 = value1; EXPECT((double)downcast_value1 >= 321.7653 && (double)downcast_value1 <= 321.7655); FixedPoint<6, u32> downcast_value2(FixedPoint<32, u64>(4567.123456)); EXPECT((double)downcast_value2 >= 4567.1 && (double)downcast_value2 <= 4567.2); downcast_value2 = FixedPoint<32, u64>(7654.654321); EXPECT((double)downcast_value2 >= 7654.64 && (double)downcast_value2 <= 7654.66); EXPECT((double)downcast_value2 >= 7654.64 && (double)downcast_value2 <= 7654.66); FixedPoint<6, u32> downcast_value3(FixedPoint<32, u64>(4567.987654)); EXPECT((double)downcast_value3 >= 4567.9 && (double)downcast_value3 <= 4567.99); downcast_value3 = FixedPoint<32, u64>(7654.456789); EXPECT((double)downcast_value3 >= 7654.45 && (double)downcast_value3 <= 7654.46); FixedPoint<32, u64> upcast_value1(FixedPoint<16, u32>(123.4567)); EXPECT((double)upcast_value1 >= 123.4566 && (double)upcast_value1 <= 123.4568); upcast_value1 = FixedPoint<16, u32>(321.7654); EXPECT((double)upcast_value1 >= 321.7653 && (double)upcast_value1 <= 321.7655); FixedPoint<32, u64> upcast_value2(FixedPoint<6, u32>(4567.123456)); EXPECT((double)upcast_value2 >= 4567.1 && (double)upcast_value2 <= 4567.2); upcast_value2 = FixedPoint<6, u32>(7654.654321); EXPECT((double)upcast_value2 >= 7654.64 && (double)upcast_value2 <= 7654.66); FixedPoint<32, u64> upcast_value3(FixedPoint<6, u32>(4567.987654)); EXPECT((double)upcast_value3 >= 4567.9 && (double)upcast_value3 <= 4567.99); upcast_value3 = FixedPoint<6, u32>(7654.456789); EXPECT((double)upcast_value3 >= 7654.45 && (double)upcast_value3 <= 7654.46); } TEST_CASE(formatter) { EXPECT_EQ(String::formatted("{}", FixedPoint<16>(123.456)), "123.455993"sv); EXPECT_EQ(String::formatted("{}", FixedPoint<16>(-123.456)), "-123.455994"sv); EXPECT_EQ(String::formatted("{}", FixedPoint<4>(123.456)), "123.4375"sv); EXPECT_EQ(String::formatted("{}", FixedPoint<4>(-123.456)), "-123.4375"sv); EXPECT_EQ(String::formatted("{}", FixedPoint<16> {}), "0"sv); }