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etl/test/test_numeric.cpp
Roland Reichwein 5dc682b7ff
Support for C++26 (#1375) 
Includes C++26 related infrastructure macros.
Fixes compile errors when compiling under C++26.
Initially supported C++26 features:

- [[indeterminate]]
- new 2022 ISO prefixes in ratio.h
- atomic fetch_max() and fetch_min()
- is_virtual_base_of
- is_trivially_relocatable and trivially_relocate
- saturation arithmetic: add_sat, sub_sat, mul_sat, div_sat, saturate_cast
2026-04-15 15:53:29 +02:00

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/******************************************************************************
The MIT License(MIT)
Embedded Template Library.
https://github.com/ETLCPP/etl
https://www.etlcpp.com
Copyright(c) 2014 John Wellbelove
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files(the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions :
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
******************************************************************************/
#include "unit_test_framework.h"
#include "etl/deque.h"
#include "etl/list.h"
#include "etl/numeric.h"
#include <algorithm>
#include <array>
#include <deque>
#include <limits>
#include <list>
#include <numeric>
#include <vector>
namespace
{
SUITE(test_numeric)
{
//*************************************************************************
TEST(test_iota)
{
int data1[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
int data2[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
etl::iota(std::begin(data2), std::end(data2), 0);
bool are_same = std::equal(std::begin(data1), std::end(data1), std::begin(data2));
CHECK(are_same);
}
//*************************************************************************
TEST(test_midpoint_signed_integral)
{
CHECK_EQUAL(0, (etl::midpoint(0, 0)));
CHECK_EQUAL(0, (etl::midpoint(0, 1)));
CHECK_EQUAL(1, (etl::midpoint(1, 0)));
CHECK_EQUAL(std::numeric_limits<int32_t>::max() / 2, (etl::midpoint(0, std::numeric_limits<int32_t>::max())));
CHECK_EQUAL((std::numeric_limits<int32_t>::max() / 2) + 1, (etl::midpoint(std::numeric_limits<int32_t>::max(), 0)));
CHECK_EQUAL(-1, (etl::midpoint(std::numeric_limits<int32_t>::min(), std::numeric_limits<int32_t>::max())));
CHECK_EQUAL(0, (etl::midpoint(std::numeric_limits<int32_t>::max(), std::numeric_limits<int32_t>::min())));
}
//*************************************************************************
TEST(test_midpoint_unsigned_integral)
{
CHECK_EQUAL(0, (etl::midpoint(0U, 0U)));
CHECK_EQUAL(0, (etl::midpoint(0U, 1U)));
CHECK_EQUAL(1, (etl::midpoint(1U, 0U)));
CHECK_EQUAL((std::numeric_limits<uint32_t>::max() / 2U),
(etl::midpoint(std::numeric_limits<uint32_t>::min(), std::numeric_limits<uint32_t>::max())));
CHECK_EQUAL((std::numeric_limits<uint32_t>::max() / 2U) + 1,
(etl::midpoint(std::numeric_limits<uint32_t>::max(), std::numeric_limits<uint32_t>::min())));
}
//*************************************************************************
TEST(test_midpoint_floating_point)
{
CHECK_CLOSE(0.0, (etl::midpoint(0.0, 0.0)), 0.001);
CHECK_CLOSE(0.5, (etl::midpoint(0.0, 1.0)), 0.001);
CHECK_CLOSE(0.5, (etl::midpoint(1.0, 0.0)), 0.001);
CHECK_CLOSE(0.0, (etl::midpoint(-std::numeric_limits<double>::max(), std::numeric_limits<double>::max())), 0.001);
CHECK_CLOSE(0.0, (etl::midpoint(std::numeric_limits<double>::max(), -std::numeric_limits<double>::max())), 0.001);
}
//*************************************************************************
TEST(test_midpoint_pointer)
{
std::vector<int> data = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
CHECK_EQUAL(data[5], (*etl::midpoint(data.data(), data.data() + data.size())));
CHECK_EQUAL(data[5], (*etl::midpoint(data.data() + data.size(), data.data())));
}
//*************************************************************************
TEST(test_midpoint_etl_random_access_iterator)
{
std::array<int, 10> initial = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
etl::deque<int, 10> data(initial.begin(), initial.end());
etl::deque<int, 10>::iterator b = data.begin();
etl::deque<int, 10>::iterator e = data.end();
CHECK_EQUAL(data[5], (*etl::midpoint(b, e)));
CHECK_EQUAL(data[5], (*etl::midpoint(e, b)));
}
//*************************************************************************
TEST(test_midpoint_etl_bidirectional_iterator)
{
std::array<int, 10> initial = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
etl::list<int, 10> data(initial.begin(), initial.end());
etl::list<int, 10>::iterator b = data.begin();
etl::list<int, 10>::iterator e = data.end();
etl::list<int, 10>::iterator c = data.begin();
etl::advance(c, 5);
int v = *etl::midpoint(b, e);
CHECK_EQUAL(*c, v);
}
#if ETL_USING_STL
//*************************************************************************
TEST(test_midpoint_std_random_access_iterator)
{
std::deque<int> data = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
std::deque<int>::iterator b = data.begin();
std::deque<int>::iterator e = data.end();
CHECK_EQUAL(data[5], (*etl::midpoint(b, e)));
CHECK_EQUAL(data[5], (*etl::midpoint(e, b)));
}
//*************************************************************************
TEST(test_midpoint_std_bidirectional_iterator)
{
std::list<int> data = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
std::list<int>::iterator b = data.begin();
std::list<int>::iterator e = data.end();
std::list<int>::iterator c = data.begin();
std::advance(c, 5);
int v = *etl::midpoint(b, e);
CHECK_EQUAL(*c, v);
}
#endif
//*************************************************************************
TEST(test_lerp_floating_point)
{
CHECK_CLOSE(-10.0, etl::lerp(-10.0, 10.0, 0.0), 0.001);
CHECK_CLOSE(-8.0, etl::lerp(-10.0, 10.0, 0.1), 0.001);
CHECK_CLOSE(-6.0, etl::lerp(-10.0, 10.0, 0.2), 0.001);
CHECK_CLOSE(-4.0, etl::lerp(-10.0, 10.0, 0.3), 0.001);
CHECK_CLOSE(-2.0, etl::lerp(-10.0, 10.0, 0.4), 0.001);
CHECK_CLOSE(0.0, etl::lerp(-10.0, 10.0, 0.5), 0.001);
CHECK_CLOSE(2.0, etl::lerp(-10.0, 10.0, 0.6), 0.001);
CHECK_CLOSE(4.0, etl::lerp(-10.0, 10.0, 0.7), 0.001);
CHECK_CLOSE(6.0, etl::lerp(-10.0, 10.0, 0.8), 0.001);
CHECK_CLOSE(8.0, etl::lerp(-10.0, 10.0, 0.9), 0.001);
CHECK_CLOSE(10.0, etl::lerp(-10.0, 10.0, 1.0), 0.001);
// Equal a & b
CHECK_CLOSE(10.0, etl::lerp(10.0, 10.0, 1.0), 0.001);
}
//*************************************************************************
TEST(test_lerp_at_least_one_integral)
{
CHECK_CLOSE(-10.0, etl::lerp(-10.0, 10.0, 0), 0.001);
CHECK_CLOSE(-8.0, etl::lerp(-10, 10.0, 0.1), 0.001);
CHECK_CLOSE(-6.0, etl::lerp(-10.0, 10, 0.2), 0.001);
CHECK_CLOSE(-4.0, etl::lerp(-10, 10, 0.3), 0.001);
CHECK_CLOSE(-2.0, etl::lerp(-10, 10.0, 0.4), 0.001);
CHECK_CLOSE(0.0, etl::lerp(-10.0, 10, 0.5), 0.001);
CHECK_CLOSE(2.0, etl::lerp(-10, 10, 0.6), 0.001);
CHECK_CLOSE(4.0, etl::lerp(-10, 10.0, 0.7), 0.001);
CHECK_CLOSE(6.0, etl::lerp(-10.0, 10, 0.8), 0.001);
CHECK_CLOSE(8.0, etl::lerp(-10, 10, 0.9), 0.001);
CHECK_CLOSE(10.0, etl::lerp(-10.0, 10.0, 1), 0.001);
// Equal a & b
CHECK_CLOSE(10.0, etl::lerp(10.0, 10.0, 1.0), 0.001);
CHECK_CLOSE(10.0, etl::lerp(10, 10.0, 1.0), 0.001);
CHECK_CLOSE(10.0, etl::lerp(10.0, 10, 1.0), 0.001);
CHECK_CLOSE(10.0, etl::lerp(10.0, 10.0, 1), 0.001);
CHECK_CLOSE(10.0, etl::lerp(10, 10, 1), 0.001);
}
//*************************************************************************
TEST(test_add_sat_unsigned)
{
// Normal addition (no overflow)
CHECK_EQUAL(uint8_t(0), etl::add_sat(uint8_t(0), uint8_t(0)));
CHECK_EQUAL(uint8_t(3), etl::add_sat(uint8_t(1), uint8_t(2)));
CHECK_EQUAL(uint8_t(254), etl::add_sat(uint8_t(127), uint8_t(127)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(200), uint8_t(55)));
// Overflow saturates to max
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(255), uint8_t(1)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(1), uint8_t(255)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(255), uint8_t(255)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(200), uint8_t(200)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(128), uint8_t(128)));
// Identity: adding zero
CHECK_EQUAL(uint8_t(42), etl::add_sat(uint8_t(42), uint8_t(0)));
CHECK_EQUAL(uint8_t(0), etl::add_sat(uint8_t(0), uint8_t(0)));
CHECK_EQUAL(uint8_t(255), etl::add_sat(uint8_t(255), uint8_t(0)));
// uint16_t
CHECK_EQUAL(uint16_t(65535), etl::add_sat(uint16_t(65535), uint16_t(1)));
CHECK_EQUAL(uint16_t(65535), etl::add_sat(uint16_t(65535), uint16_t(65535)));
CHECK_EQUAL(uint16_t(1000), etl::add_sat(uint16_t(500), uint16_t(500)));
// uint32_t
CHECK_EQUAL(std::numeric_limits<uint32_t>::max(), etl::add_sat(std::numeric_limits<uint32_t>::max(), uint32_t(1)));
CHECK_EQUAL(std::numeric_limits<uint32_t>::max(), etl::add_sat(std::numeric_limits<uint32_t>::max(), std::numeric_limits<uint32_t>::max()));
CHECK_EQUAL(uint32_t(100), etl::add_sat(uint32_t(60), uint32_t(40)));
}
//*************************************************************************
TEST(test_add_sat_signed)
{
// Normal addition (no overflow)
CHECK_EQUAL(int8_t(0), etl::add_sat(int8_t(0), int8_t(0)));
CHECK_EQUAL(int8_t(3), etl::add_sat(int8_t(1), int8_t(2)));
CHECK_EQUAL(int8_t(-3), etl::add_sat(int8_t(-1), int8_t(-2)));
CHECK_EQUAL(int8_t(0), etl::add_sat(int8_t(1), int8_t(-1)));
CHECK_EQUAL(int8_t(0), etl::add_sat(int8_t(-1), int8_t(1)));
CHECK_EQUAL(int8_t(126), etl::add_sat(int8_t(63), int8_t(63)));
// Positive overflow saturates to max
CHECK_EQUAL(int8_t(127), etl::add_sat(int8_t(127), int8_t(1)));
CHECK_EQUAL(int8_t(127), etl::add_sat(int8_t(1), int8_t(127)));
CHECK_EQUAL(int8_t(127), etl::add_sat(int8_t(127), int8_t(127)));
CHECK_EQUAL(int8_t(127), etl::add_sat(int8_t(100), int8_t(100)));
// Negative overflow saturates to min
CHECK_EQUAL(int8_t(-128), etl::add_sat(int8_t(-128), int8_t(-1)));
CHECK_EQUAL(int8_t(-128), etl::add_sat(int8_t(-1), int8_t(-128)));
CHECK_EQUAL(int8_t(-128), etl::add_sat(int8_t(-128), int8_t(-128)));
CHECK_EQUAL(int8_t(-128), etl::add_sat(int8_t(-100), int8_t(-100)));
// Mixed signs: no overflow possible
CHECK_EQUAL(int8_t(-1), etl::add_sat(int8_t(127), int8_t(-128)));
CHECK_EQUAL(int8_t(-1), etl::add_sat(int8_t(-128), int8_t(127)));
CHECK_EQUAL(int8_t(27), etl::add_sat(int8_t(127), int8_t(-100)));
CHECK_EQUAL(int8_t(-28), etl::add_sat(int8_t(-128), int8_t(100)));
// Identity: adding zero
CHECK_EQUAL(int8_t(42), etl::add_sat(int8_t(42), int8_t(0)));
CHECK_EQUAL(int8_t(-42), etl::add_sat(int8_t(-42), int8_t(0)));
CHECK_EQUAL(int8_t(127), etl::add_sat(int8_t(127), int8_t(0)));
CHECK_EQUAL(int8_t(-128), etl::add_sat(int8_t(-128), int8_t(0)));
// int16_t
CHECK_EQUAL(int16_t(32767), etl::add_sat(int16_t(32767), int16_t(1)));
CHECK_EQUAL(int16_t(-32768), etl::add_sat(int16_t(-32768), int16_t(-1)));
CHECK_EQUAL(int16_t(32767), etl::add_sat(int16_t(32767), int16_t(32767)));
CHECK_EQUAL(int16_t(-32768), etl::add_sat(int16_t(-32768), int16_t(-32768)));
CHECK_EQUAL(int16_t(1000), etl::add_sat(int16_t(500), int16_t(500)));
// int32_t
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::add_sat(std::numeric_limits<int32_t>::max(), int32_t(1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::add_sat(std::numeric_limits<int32_t>::min(), int32_t(-1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::add_sat(std::numeric_limits<int32_t>::max(), std::numeric_limits<int32_t>::max()));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::add_sat(std::numeric_limits<int32_t>::min(), std::numeric_limits<int32_t>::min()));
CHECK_EQUAL(int32_t(100), etl::add_sat(int32_t(60), int32_t(40)));
}
//*************************************************************************
TEST(test_sub_sat_unsigned)
{
// Normal subtraction (no underflow)
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(0), uint8_t(0)));
CHECK_EQUAL(uint8_t(1), etl::sub_sat(uint8_t(3), uint8_t(2)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(2), uint8_t(2)));
CHECK_EQUAL(uint8_t(255), etl::sub_sat(uint8_t(255), uint8_t(0)));
CHECK_EQUAL(uint8_t(128), etl::sub_sat(uint8_t(255), uint8_t(127)));
// Underflow saturates to 0
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(0), uint8_t(1)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(0), uint8_t(255)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(1), uint8_t(2)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(100), uint8_t(200)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(127), uint8_t(255)));
// Identity: subtracting zero
CHECK_EQUAL(uint8_t(42), etl::sub_sat(uint8_t(42), uint8_t(0)));
CHECK_EQUAL(uint8_t(0), etl::sub_sat(uint8_t(0), uint8_t(0)));
CHECK_EQUAL(uint8_t(255), etl::sub_sat(uint8_t(255), uint8_t(0)));
// uint16_t
CHECK_EQUAL(uint16_t(0), etl::sub_sat(uint16_t(0), uint16_t(1)));
CHECK_EQUAL(uint16_t(0), etl::sub_sat(uint16_t(0), uint16_t(65535)));
CHECK_EQUAL(uint16_t(100), etl::sub_sat(uint16_t(500), uint16_t(400)));
// uint32_t
CHECK_EQUAL(uint32_t(0), etl::sub_sat(uint32_t(0), uint32_t(1)));
CHECK_EQUAL(uint32_t(0), etl::sub_sat(uint32_t(0), std::numeric_limits<uint32_t>::max()));
CHECK_EQUAL(uint32_t(1), etl::sub_sat(std::numeric_limits<uint32_t>::max(), std::numeric_limits<uint32_t>::max() - 1));
CHECK_EQUAL(uint32_t(20), etl::sub_sat(uint32_t(60), uint32_t(40)));
}
//*************************************************************************
TEST(test_sub_sat_signed)
{
// Normal subtraction (no overflow)
CHECK_EQUAL(int8_t(0), etl::sub_sat(int8_t(0), int8_t(0)));
CHECK_EQUAL(int8_t(1), etl::sub_sat(int8_t(3), int8_t(2)));
CHECK_EQUAL(int8_t(-1), etl::sub_sat(int8_t(2), int8_t(3)));
CHECK_EQUAL(int8_t(0), etl::sub_sat(int8_t(1), int8_t(1)));
CHECK_EQUAL(int8_t(-2), etl::sub_sat(int8_t(-1), int8_t(1)));
CHECK_EQUAL(int8_t(2), etl::sub_sat(int8_t(1), int8_t(-1)));
// Positive overflow: subtracting large negative from positive saturates to max
CHECK_EQUAL(int8_t(127), etl::sub_sat(int8_t(127), int8_t(-1)));
CHECK_EQUAL(int8_t(127), etl::sub_sat(int8_t(1), int8_t(-127)));
CHECK_EQUAL(int8_t(127), etl::sub_sat(int8_t(127), int8_t(-128)));
CHECK_EQUAL(int8_t(127), etl::sub_sat(int8_t(100), int8_t(-100)));
// Negative overflow: subtracting large positive from negative saturates to min
CHECK_EQUAL(int8_t(-128), etl::sub_sat(int8_t(-128), int8_t(1)));
CHECK_EQUAL(int8_t(-128), etl::sub_sat(int8_t(-1), int8_t(127)));
CHECK_EQUAL(int8_t(-128), etl::sub_sat(int8_t(-128), int8_t(127)));
CHECK_EQUAL(int8_t(-128), etl::sub_sat(int8_t(-100), int8_t(100)));
// No overflow when same sign
CHECK_EQUAL(int8_t(0), etl::sub_sat(int8_t(-128), int8_t(-128)));
CHECK_EQUAL(int8_t(-1), etl::sub_sat(int8_t(-128), int8_t(-127)));
// Identity: subtracting zero
CHECK_EQUAL(int8_t(42), etl::sub_sat(int8_t(42), int8_t(0)));
CHECK_EQUAL(int8_t(-42), etl::sub_sat(int8_t(-42), int8_t(0)));
CHECK_EQUAL(int8_t(127), etl::sub_sat(int8_t(127), int8_t(0)));
CHECK_EQUAL(int8_t(-128), etl::sub_sat(int8_t(-128), int8_t(0)));
// int16_t
CHECK_EQUAL(int16_t(32767), etl::sub_sat(int16_t(32767), int16_t(-1)));
CHECK_EQUAL(int16_t(-32768), etl::sub_sat(int16_t(-32768), int16_t(1)));
CHECK_EQUAL(int16_t(32767), etl::sub_sat(int16_t(32767), int16_t(-32768)));
CHECK_EQUAL(int16_t(-32768), etl::sub_sat(int16_t(-32768), int16_t(32767)));
CHECK_EQUAL(int16_t(100), etl::sub_sat(int16_t(500), int16_t(400)));
// int32_t
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::sub_sat(std::numeric_limits<int32_t>::max(), int32_t(-1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::sub_sat(std::numeric_limits<int32_t>::min(), int32_t(1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::sub_sat(std::numeric_limits<int32_t>::max(), std::numeric_limits<int32_t>::min()));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::sub_sat(std::numeric_limits<int32_t>::min(), std::numeric_limits<int32_t>::max()));
CHECK_EQUAL(int32_t(20), etl::sub_sat(int32_t(60), int32_t(40)));
}
//*************************************************************************
TEST(test_mul_sat_unsigned)
{
// Normal multiplication (no overflow)
CHECK_EQUAL(uint8_t(0), etl::mul_sat(uint8_t(0), uint8_t(0)));
CHECK_EQUAL(uint8_t(0), etl::mul_sat(uint8_t(0), uint8_t(255)));
CHECK_EQUAL(uint8_t(0), etl::mul_sat(uint8_t(255), uint8_t(0)));
CHECK_EQUAL(uint8_t(6), etl::mul_sat(uint8_t(2), uint8_t(3)));
CHECK_EQUAL(uint8_t(1), etl::mul_sat(uint8_t(1), uint8_t(1)));
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(255), uint8_t(1)));
CHECK_EQUAL(uint8_t(250), etl::mul_sat(uint8_t(25), uint8_t(10)));
// Overflow saturates to max
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(255), uint8_t(2)));
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(2), uint8_t(255)));
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(255), uint8_t(255)));
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(128), uint8_t(3)));
CHECK_EQUAL(uint8_t(255), etl::mul_sat(uint8_t(16), uint8_t(16)));
// uint16_t
CHECK_EQUAL(uint16_t(65535), etl::mul_sat(uint16_t(65535), uint16_t(2)));
CHECK_EQUAL(uint16_t(65535), etl::mul_sat(uint16_t(65535), uint16_t(65535)));
CHECK_EQUAL(uint16_t(10000), etl::mul_sat(uint16_t(100), uint16_t(100)));
// uint32_t
CHECK_EQUAL(std::numeric_limits<uint32_t>::max(), etl::mul_sat(std::numeric_limits<uint32_t>::max(), uint32_t(2)));
CHECK_EQUAL(std::numeric_limits<uint32_t>::max(), etl::mul_sat(std::numeric_limits<uint32_t>::max(), std::numeric_limits<uint32_t>::max()));
CHECK_EQUAL(uint32_t(600), etl::mul_sat(uint32_t(20), uint32_t(30)));
}
//*************************************************************************
TEST(test_mul_sat_signed)
{
// Normal multiplication (no overflow)
CHECK_EQUAL(int8_t(0), etl::mul_sat(int8_t(0), int8_t(0)));
CHECK_EQUAL(int8_t(0), etl::mul_sat(int8_t(0), int8_t(127)));
CHECK_EQUAL(int8_t(0), etl::mul_sat(int8_t(0), int8_t(-128)));
CHECK_EQUAL(int8_t(6), etl::mul_sat(int8_t(2), int8_t(3)));
CHECK_EQUAL(int8_t(-6), etl::mul_sat(int8_t(2), int8_t(-3)));
CHECK_EQUAL(int8_t(-6), etl::mul_sat(int8_t(-2), int8_t(3)));
CHECK_EQUAL(int8_t(6), etl::mul_sat(int8_t(-2), int8_t(-3)));
CHECK_EQUAL(int8_t(1), etl::mul_sat(int8_t(1), int8_t(1)));
CHECK_EQUAL(int8_t(-1), etl::mul_sat(int8_t(1), int8_t(-1)));
CHECK_EQUAL(int8_t(1), etl::mul_sat(int8_t(-1), int8_t(-1)));
CHECK_EQUAL(int8_t(100), etl::mul_sat(int8_t(10), int8_t(10)));
// Positive overflow: both positive
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(127), int8_t(2)));
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(2), int8_t(127)));
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(127), int8_t(127)));
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(64), int8_t(3)));
// Positive overflow: both negative
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(-128), int8_t(-2)));
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(-2), int8_t(-128)));
CHECK_EQUAL(int8_t(127), etl::mul_sat(int8_t(-128), int8_t(-128)));
// Negative overflow: positive * negative
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(127), int8_t(-2)));
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(2), int8_t(-127)));
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(127), int8_t(-128)));
// Negative overflow: negative * positive
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(-128), int8_t(2)));
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(-2), int8_t(127)));
CHECK_EQUAL(int8_t(-128), etl::mul_sat(int8_t(-128), int8_t(127)));
// int16_t
CHECK_EQUAL(int16_t(32767), etl::mul_sat(int16_t(32767), int16_t(2)));
CHECK_EQUAL(int16_t(-32768), etl::mul_sat(int16_t(32767), int16_t(-2)));
CHECK_EQUAL(int16_t(32767), etl::mul_sat(int16_t(-32768), int16_t(-2)));
CHECK_EQUAL(int16_t(-32768), etl::mul_sat(int16_t(-32768), int16_t(2)));
CHECK_EQUAL(int16_t(10000), etl::mul_sat(int16_t(100), int16_t(100)));
// int32_t
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::mul_sat(std::numeric_limits<int32_t>::max(), int32_t(2)));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::mul_sat(std::numeric_limits<int32_t>::max(), int32_t(-2)));
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::mul_sat(std::numeric_limits<int32_t>::min(), int32_t(-2)));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::mul_sat(std::numeric_limits<int32_t>::min(), int32_t(2)));
CHECK_EQUAL(int32_t(600), etl::mul_sat(int32_t(20), int32_t(30)));
}
//*************************************************************************
TEST(test_div_sat_unsigned)
{
// Normal division
CHECK_EQUAL(uint8_t(0), etl::div_sat(uint8_t(0), uint8_t(1)));
CHECK_EQUAL(uint8_t(0), etl::div_sat(uint8_t(0), uint8_t(255)));
CHECK_EQUAL(uint8_t(1), etl::div_sat(uint8_t(1), uint8_t(1)));
CHECK_EQUAL(uint8_t(3), etl::div_sat(uint8_t(6), uint8_t(2)));
CHECK_EQUAL(uint8_t(127), etl::div_sat(uint8_t(255), uint8_t(2)));
CHECK_EQUAL(uint8_t(255), etl::div_sat(uint8_t(255), uint8_t(1)));
CHECK_EQUAL(uint8_t(0), etl::div_sat(uint8_t(1), uint8_t(2)));
// uint16_t
CHECK_EQUAL(uint16_t(32767), etl::div_sat(uint16_t(65535), uint16_t(2)));
CHECK_EQUAL(uint16_t(65535), etl::div_sat(uint16_t(65535), uint16_t(1)));
CHECK_EQUAL(uint16_t(100), etl::div_sat(uint16_t(1000), uint16_t(10)));
// uint32_t
CHECK_EQUAL(std::numeric_limits<uint32_t>::max(), etl::div_sat(std::numeric_limits<uint32_t>::max(), uint32_t(1)));
CHECK_EQUAL(uint32_t(1), etl::div_sat(std::numeric_limits<uint32_t>::max(), std::numeric_limits<uint32_t>::max()));
CHECK_EQUAL(uint32_t(30), etl::div_sat(uint32_t(600), uint32_t(20)));
}
//*************************************************************************
TEST(test_div_sat_signed)
{
// Normal division
CHECK_EQUAL(int8_t(0), etl::div_sat(int8_t(0), int8_t(1)));
CHECK_EQUAL(int8_t(0), etl::div_sat(int8_t(0), int8_t(-1)));
CHECK_EQUAL(int8_t(1), etl::div_sat(int8_t(1), int8_t(1)));
CHECK_EQUAL(int8_t(-1), etl::div_sat(int8_t(1), int8_t(-1)));
CHECK_EQUAL(int8_t(-1), etl::div_sat(int8_t(-1), int8_t(1)));
CHECK_EQUAL(int8_t(1), etl::div_sat(int8_t(-1), int8_t(-1)));
CHECK_EQUAL(int8_t(3), etl::div_sat(int8_t(6), int8_t(2)));
CHECK_EQUAL(int8_t(-3), etl::div_sat(int8_t(6), int8_t(-2)));
CHECK_EQUAL(int8_t(-3), etl::div_sat(int8_t(-6), int8_t(2)));
CHECK_EQUAL(int8_t(3), etl::div_sat(int8_t(-6), int8_t(-2)));
CHECK_EQUAL(int8_t(127), etl::div_sat(int8_t(127), int8_t(1)));
CHECK_EQUAL(int8_t(-127), etl::div_sat(int8_t(127), int8_t(-1)));
CHECK_EQUAL(int8_t(-128), etl::div_sat(int8_t(-128), int8_t(1)));
CHECK_EQUAL(int8_t(0), etl::div_sat(int8_t(1), int8_t(2)));
// The only overflow case: min / -1 saturates to max
CHECK_EQUAL(int8_t(127), etl::div_sat(int8_t(-128), int8_t(-1)));
// int16_t
CHECK_EQUAL(int16_t(32767), etl::div_sat(int16_t(-32768), int16_t(-1)));
CHECK_EQUAL(int16_t(-32768), etl::div_sat(int16_t(-32768), int16_t(1)));
CHECK_EQUAL(int16_t(100), etl::div_sat(int16_t(1000), int16_t(10)));
// int32_t
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::div_sat(std::numeric_limits<int32_t>::min(), int32_t(-1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::min(), etl::div_sat(std::numeric_limits<int32_t>::min(), int32_t(1)));
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), etl::div_sat(std::numeric_limits<int32_t>::max(), int32_t(1)));
CHECK_EQUAL(int32_t(0), etl::div_sat(std::numeric_limits<int32_t>::max(), std::numeric_limits<int32_t>::min()));
CHECK_EQUAL(int32_t(30), etl::div_sat(int32_t(600), int32_t(20)));
}
//*************************************************************************
TEST(test_saturate_cast_unsigned_to_unsigned)
{
// Fits
CHECK_EQUAL(uint8_t(42), (etl::saturate_cast<uint8_t>(uint16_t(42))));
CHECK_EQUAL(uint8_t(0), (etl::saturate_cast<uint8_t>(uint16_t(0))));
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(uint16_t(255))));
// Overflow: clamp to max
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(uint16_t(256))));
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(uint16_t(1000))));
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(uint16_t(65535))));
// Widening (always fits)
CHECK_EQUAL(uint16_t(42), (etl::saturate_cast<uint16_t>(uint8_t(42))));
CHECK_EQUAL(uint16_t(255), (etl::saturate_cast<uint16_t>(uint8_t(255))));
}
//*************************************************************************
TEST(test_saturate_cast_signed_to_signed)
{
// Fits
CHECK_EQUAL(int8_t(42), (etl::saturate_cast<int8_t>(int16_t(42))));
CHECK_EQUAL(int8_t(-42), (etl::saturate_cast<int8_t>(int16_t(-42))));
CHECK_EQUAL(int8_t(0), (etl::saturate_cast<int8_t>(int16_t(0))));
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(int16_t(127))));
CHECK_EQUAL(int8_t(-128), (etl::saturate_cast<int8_t>(int16_t(-128))));
// Overflow: clamp to max
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(int16_t(128))));
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(int16_t(1000))));
// Underflow: clamp to min
CHECK_EQUAL(int8_t(-128), (etl::saturate_cast<int8_t>(int16_t(-129))));
CHECK_EQUAL(int8_t(-128), (etl::saturate_cast<int8_t>(int16_t(-1000))));
// Widening (always fits)
CHECK_EQUAL(int16_t(42), (etl::saturate_cast<int16_t>(int8_t(42))));
CHECK_EQUAL(int16_t(-128), (etl::saturate_cast<int16_t>(int8_t(-128))));
}
//*************************************************************************
TEST(test_saturate_cast_signed_to_unsigned)
{
// Fits
CHECK_EQUAL(uint8_t(42), (etl::saturate_cast<uint8_t>(int16_t(42))));
CHECK_EQUAL(uint8_t(0), (etl::saturate_cast<uint8_t>(int16_t(0))));
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(int16_t(255))));
// Negative source: clamp to 0
CHECK_EQUAL(uint8_t(0), (etl::saturate_cast<uint8_t>(int16_t(-1))));
CHECK_EQUAL(uint8_t(0), (etl::saturate_cast<uint8_t>(int16_t(-1000))));
CHECK_EQUAL(uint16_t(0), (etl::saturate_cast<uint16_t>(int16_t(-1))));
// Overflow: clamp to max
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(int16_t(256))));
CHECK_EQUAL(uint8_t(255), (etl::saturate_cast<uint8_t>(int16_t(1000))));
}
//*************************************************************************
TEST(test_saturate_cast_unsigned_to_signed)
{
// Fits
CHECK_EQUAL(int8_t(42), (etl::saturate_cast<int8_t>(uint16_t(42))));
CHECK_EQUAL(int8_t(0), (etl::saturate_cast<int8_t>(uint16_t(0))));
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(uint16_t(127))));
// Overflow: clamp to max
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(uint16_t(128))));
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(uint16_t(1000))));
CHECK_EQUAL(int8_t(127), (etl::saturate_cast<int8_t>(uint16_t(65535))));
// Widening (always fits)
CHECK_EQUAL(int16_t(255), (etl::saturate_cast<int16_t>(uint8_t(255))));
CHECK_EQUAL(int16_t(0), (etl::saturate_cast<int16_t>(uint8_t(0))));
}
//*************************************************************************
TEST(test_saturate_cast_same_type)
{
// Same type, no conversion needed
CHECK_EQUAL(int32_t(42), (etl::saturate_cast<int32_t>(int32_t(42))));
CHECK_EQUAL(uint32_t(42), (etl::saturate_cast<uint32_t>(uint32_t(42))));
CHECK_EQUAL(int32_t(-42), (etl::saturate_cast<int32_t>(int32_t(-42))));
}
//*************************************************************************
TEST(test_saturate_cast_boundary_values)
{
// int32_t max -> uint16_t
CHECK_EQUAL(uint16_t(65535), (etl::saturate_cast<uint16_t>(int32_t(2147483647))));
// int32_t min -> uint16_t
CHECK_EQUAL(uint16_t(0), (etl::saturate_cast<uint16_t>(std::numeric_limits<int32_t>::min())));
// uint32_t max -> int32_t
CHECK_EQUAL(std::numeric_limits<int32_t>::max(), (etl::saturate_cast<int32_t>(std::numeric_limits<uint32_t>::max())));
// uint32_t max -> int16_t
CHECK_EQUAL(int16_t(32767), (etl::saturate_cast<int16_t>(std::numeric_limits<uint32_t>::max())));
}
}
} // namespace
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