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fsfw/contrib/fsfw_contrib/etl-20.39.4/test/test_math_functions.cpp

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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/log.h"
#include "etl/power.h"
#include "etl/fibonacci.h"
#include "etl/factorial.h"
#include "etl/sqrt.h"
#include "etl/permutations.h"
#include "etl/combinations.h"
#include "etl/gcd.h"
#include "etl/lcm.h"
namespace
{
int sqrt(int v)
{
int i = 1;
while (i < v)
{
if ((i * i) > v)
{
return i - 1;
}
++i;
}
return 1;
}
size_t factorial(size_t n)
{
if (n == 1)
{
return 1;
}
else
{
return n * factorial(n - 1);
}
}
size_t permutations(size_t n, size_t k)
{
size_t p = 1;
for (size_t i = 0UL; i < k; ++i)
{
p *= n;
--n;
}
return p;
}
size_t combinations(size_t n, size_t k)
{
return permutations(n, k) / factorial(k);
}
SUITE(test_math_functions)
{
//*************************************************************************
TEST(test_log_0_base)
{
int actual;
actual = etl::log<0, 2>::value;
CHECK_EQUAL(0, actual);
actual = etl::log<0, 10>::value;
CHECK_EQUAL(0, actual);
}
//*************************************************************************
TEST(test_log_1_base)
{
int actual;
actual = etl::log<1, 2>::value;
CHECK_EQUAL(0, actual);
actual = etl::log<1, 10>::value;
CHECK_EQUAL(0, actual);
}
//*************************************************************************
TEST(test_log_10_base)
{
int actual;
actual = etl::log<10, 2>::value;
CHECK_EQUAL(3, actual);
actual = etl::log<10, 10>::value;
CHECK_EQUAL(1, actual);
}
//*************************************************************************
TEST(test_log_100_base)
{
int actual;
actual = etl::log<100, 2>::value;
CHECK_EQUAL(6, actual);
actual = etl::log<100, 10>::value;
CHECK_EQUAL(2, actual);
}
//*************************************************************************
TEST(test_log_1000_base)
{
int actual;
actual = etl::log<1000, 2>::value;
CHECK_EQUAL(9, actual);
actual = etl::log<1000, 10>::value;
CHECK_EQUAL(3, actual);
}
//*************************************************************************
TEST(test_log_2)
{
int actual;
actual = etl::log2<0>::value;
CHECK_EQUAL(0, actual);
actual = etl::log2<1>::value;
CHECK_EQUAL(0, actual);
actual = etl::log2<10>::value;
CHECK_EQUAL(3, actual);
actual = etl::log2<100>::value;
CHECK_EQUAL(6, actual);
}
//*************************************************************************
TEST(test_log_10)
{
int actual;
actual = etl::log10<0>::value;
CHECK_EQUAL(0, actual);
actual = etl::log10<1>::value;
CHECK_EQUAL(0, actual);
actual = etl::log10<10>::value;
CHECK_EQUAL(1, actual);
actual = etl::log10<100>::value;
CHECK_EQUAL(2, actual);
actual = etl::log10<200>::value;
CHECK_EQUAL(2, actual);
}
//*************************************************************************
TEST(test_power)
{
uint64_t actual;
// 2^1
actual = etl::power<2, 1>::value;
CHECK_EQUAL(2U, actual);
// 3^2
actual = etl::power<3, 2>::value;
CHECK_EQUAL(9U, actual);
// 4^3
actual = etl::power<4, 3>::value;
CHECK_EQUAL(64U, actual);
// 5^4
actual = etl::power<5, 4>::value;
CHECK_EQUAL(625U, actual);
// 6^5
actual = etl::power<6, 5>::value;
CHECK_EQUAL(7776U, actual);
// 7^6
actual = etl::power<7, 6>::value;
CHECK_EQUAL(117649UL, actual);
// 8^7
actual = etl::power<8, 7>::value;
CHECK_EQUAL(2097152UL, actual);
// 9^8
actual = etl::power<9, 8>::value;
CHECK_EQUAL(43046721UL, actual);
// 10^9
actual = etl::power<10, 9>::value;
CHECK_EQUAL(1000000000UL, actual);
// 2^16
actual = etl::power<2, 15>::value;
CHECK_EQUAL(0x8000U, actual);
// 2^31
actual = etl::power<2, 31>::value;
CHECK_EQUAL(0x80000000UL, actual);
// 2^63
actual = etl::power<2, 63>::value;
CHECK_EQUAL(0x8000000000000000ULL, actual);
}
//*************************************************************************
TEST(test_power_of_2_round_up)
{
int actual;
//
actual = etl::power_of_2_round_up<0>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_up<1>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_up<2>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_up<3>::value;
CHECK_EQUAL(4, actual);
actual = etl::power_of_2_round_up<4>::value;
CHECK_EQUAL(4, actual);
actual = etl::power_of_2_round_up<5>::value;
CHECK_EQUAL(8, actual);
actual = etl::power_of_2_round_up<127>::value;
CHECK_EQUAL(128, actual);
actual = etl::power_of_2_round_up<128>::value;
CHECK_EQUAL(128, actual);
actual = etl::power_of_2_round_up<129>::value;
CHECK_EQUAL(256, actual);
}
//*************************************************************************
TEST(test_power_of_2_round_down)
{
int actual;
actual = etl::power_of_2_round_down<0>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_down<1>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_down<2>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_down<3>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_down<4>::value;
CHECK_EQUAL(2, actual);
actual = etl::power_of_2_round_down<5>::value;
CHECK_EQUAL(4, actual);
actual = etl::power_of_2_round_down<127>::value;
CHECK_EQUAL(64, actual);
actual = etl::power_of_2_round_down<128>::value;
CHECK_EQUAL(64, actual);
actual = etl::power_of_2_round_down<129>::value;
CHECK_EQUAL(128, actual);
}
//*************************************************************************
TEST(test_is_power_of_2)
{
bool actual;
actual = etl::is_power_of_2<0>::value;
CHECK_EQUAL(false, actual);
actual = etl::is_power_of_2<1>::value;
CHECK_EQUAL(false, actual);
actual = etl::is_power_of_2<2>::value;
CHECK_EQUAL(true, actual);
actual = etl::is_power_of_2<3>::value;
CHECK_EQUAL(false, actual);
actual = etl::is_power_of_2<4>::value;
CHECK_EQUAL(true, actual);
actual = etl::is_power_of_2<5>::value;
CHECK_EQUAL(false, actual);
actual = etl::is_power_of_2<127>::value;
CHECK_EQUAL(false, actual);
actual = etl::is_power_of_2<128>::value;
CHECK_EQUAL(true, actual);
actual = etl::is_power_of_2<129>::value;
CHECK_EQUAL(false, actual);
}
//*************************************************************************
TEST(test_fibonacci)
{
CHECK_EQUAL(0U, (size_t)etl::fibonacci<0>::value);
CHECK_EQUAL(1U, (size_t)etl::fibonacci<1>::value);
CHECK_EQUAL(1U, (size_t)etl::fibonacci<2>::value);
CHECK_EQUAL(2U, (size_t)etl::fibonacci<3>::value);
CHECK_EQUAL(3U, (size_t)etl::fibonacci<4>::value);
CHECK_EQUAL(5U, (size_t)etl::fibonacci<5>::value);
CHECK_EQUAL(8U, (size_t)etl::fibonacci<6>::value);
CHECK_EQUAL(13U, (size_t)etl::fibonacci<7>::value);
CHECK_EQUAL(21U, (size_t)etl::fibonacci<8>::value);
CHECK_EQUAL(34U, (size_t)etl::fibonacci<9>::value);
CHECK_EQUAL(55U, (size_t)etl::fibonacci<10>::value);
CHECK_EQUAL(89U, (size_t)etl::fibonacci<11>::value);
CHECK_EQUAL(144U, (size_t)etl::fibonacci<12>::value);
CHECK_EQUAL(233U, (size_t)etl::fibonacci<13>::value);
CHECK_EQUAL(377U, (size_t)etl::fibonacci<14>::value);
CHECK_EQUAL(610U, (size_t)etl::fibonacci<15>::value);
CHECK_EQUAL(987U, (size_t)etl::fibonacci<16>::value);
CHECK_EQUAL(1597U, (size_t)etl::fibonacci<17>::value);
CHECK_EQUAL(2584U, (size_t)etl::fibonacci<18>::value);
CHECK_EQUAL(4181U, (size_t)etl::fibonacci<19>::value);
CHECK_EQUAL(6765U, (size_t)etl::fibonacci<20>::value);
CHECK_EQUAL(10946U, (size_t)etl::fibonacci<21>::value);
CHECK_EQUAL(17711U, (size_t)etl::fibonacci<22>::value);
CHECK_EQUAL(28657U, (size_t)etl::fibonacci<23>::value);
CHECK_EQUAL(46368U, (size_t)etl::fibonacci<24>::value);
CHECK_EQUAL(75025U, (size_t)etl::fibonacci<25>::value);
CHECK_EQUAL(121393U, (size_t)etl::fibonacci<26>::value);
CHECK_EQUAL(196418U, (size_t)etl::fibonacci<27>::value);
CHECK_EQUAL(317811U, (size_t)etl::fibonacci<28>::value);
CHECK_EQUAL(514229U, (size_t)etl::fibonacci<29>::value);
CHECK_EQUAL(832040U, (size_t)etl::fibonacci<30>::value);
CHECK_EQUAL(1346269U, (size_t)etl::fibonacci<31>::value);
CHECK_EQUAL(2178309U, (size_t)etl::fibonacci<32>::value);
CHECK_EQUAL(3524578U, (size_t)etl::fibonacci<33>::value);
CHECK_EQUAL(5702887U, (size_t)etl::fibonacci<34>::value);
CHECK_EQUAL(9227465U, (size_t)etl::fibonacci<35>::value);
CHECK_EQUAL(14930352U, (size_t)etl::fibonacci<36>::value);
CHECK_EQUAL(24157817U, (size_t)etl::fibonacci<37>::value);
CHECK_EQUAL(39088169U, (size_t)etl::fibonacci<38>::value);
CHECK_EQUAL(63245986U, (size_t)etl::fibonacci<39>::value);
CHECK_EQUAL(102334155U, (size_t)etl::fibonacci<40>::value);
CHECK_EQUAL(165580141U, (size_t)etl::fibonacci<41>::value);
CHECK_EQUAL(267914296U, (size_t)etl::fibonacci<42>::value);
CHECK_EQUAL(433494437U, (size_t)etl::fibonacci<43>::value);
CHECK_EQUAL(701408733U, (size_t)etl::fibonacci<44>::value);
CHECK_EQUAL(1134903170U, (size_t)etl::fibonacci<45>::value);
CHECK_EQUAL(1836311903U, (size_t)etl::fibonacci<46>::value);
CHECK_EQUAL(2971215073U, (size_t)etl::fibonacci<47>::value);
}
TEST(test_factorial)
{
CHECK_EQUAL(1U, (size_t)etl::factorial<0>::value);
CHECK_EQUAL(1U, (size_t)etl::factorial<1>::value);
CHECK_EQUAL(2U, (size_t)etl::factorial<2>::value);
CHECK_EQUAL(6U, (size_t)etl::factorial<3>::value);
CHECK_EQUAL(24U, (size_t)etl::factorial<4>::value);
CHECK_EQUAL(120U, (size_t)etl::factorial<5>::value);
CHECK_EQUAL(720U, (size_t)etl::factorial<6>::value);
CHECK_EQUAL(5040U, (size_t)etl::factorial<7>::value);
CHECK_EQUAL(40320U, (size_t)etl::factorial<8>::value);
CHECK_EQUAL(362880U, (size_t)etl::factorial<9>::value);
CHECK_EQUAL(3628800U, (size_t)etl::factorial<10>::value);
CHECK_EQUAL(39916800U, (size_t)etl::factorial<11>::value);
CHECK_EQUAL(479001600U, (size_t)etl::factorial<12>::value);
}
//*************************************************************************
TEST(test_sqrt)
{
CHECK_EQUAL(sqrt(1), etl::sqrt<1>::value);
CHECK_EQUAL(sqrt(2), etl::sqrt<2>::value);
CHECK_EQUAL(sqrt(3), etl::sqrt<3>::value);
CHECK_EQUAL(sqrt(4), etl::sqrt<4>::value);
CHECK_EQUAL(sqrt(5), etl::sqrt<5>::value);
CHECK_EQUAL(sqrt(6), etl::sqrt<6>::value);
CHECK_EQUAL(sqrt(7), etl::sqrt<7>::value);
CHECK_EQUAL(sqrt(8), etl::sqrt<8>::value);
CHECK_EQUAL(sqrt(9), etl::sqrt<9>::value);
CHECK_EQUAL(sqrt(10), etl::sqrt<10>::value);
}
//*************************************************************************
TEST(test_permutations)
{
size_t actual;
CHECK_EQUAL((permutations( 6, 2)), (actual = etl::permutations< 6, 2>::value));
CHECK_EQUAL((permutations( 7, 3)), (actual = etl::permutations< 7, 3>::value));
CHECK_EQUAL((permutations( 8, 4)), (actual = etl::permutations< 8, 4>::value));
CHECK_EQUAL((permutations( 9, 5)), (actual = etl::permutations< 9, 5>::value));
CHECK_EQUAL((permutations(10, 6)), (actual = etl::permutations<10, 6>::value));
CHECK_EQUAL((permutations(11, 7)), (actual = etl::permutations<11, 7>::value));
CHECK_EQUAL((permutations(12, 8)), (actual = etl::permutations<12, 8>::value));
CHECK_EQUAL((permutations(13, 9)), (actual = etl::permutations<13, 9>::value));
CHECK_EQUAL((permutations(14, 10)), (actual = etl::permutations<14, 10>::value));
}
//*************************************************************************
TEST(test_combinations)
{
size_t actual;
CHECK_EQUAL((combinations( 6, 2)), (actual = etl::combinations< 6, 2>::value));
CHECK_EQUAL((combinations( 7, 3)), (actual = etl::combinations< 7, 3>::value));
CHECK_EQUAL((combinations( 8, 4)), (actual = etl::combinations< 8, 4>::value));
CHECK_EQUAL((combinations( 9, 5)), (actual = etl::combinations< 9, 5>::value));
CHECK_EQUAL((combinations(10, 6)), (actual = etl::combinations<10, 6>::value));
CHECK_EQUAL((combinations(11, 7)), (actual = etl::combinations<11, 7>::value));
CHECK_EQUAL((combinations(12, 8)), (actual = etl::combinations<12, 8>::value));
CHECK_EQUAL((combinations(13, 9)), (actual = etl::combinations<13, 9>::value));
CHECK_EQUAL((combinations(14, 10)), (actual = etl::combinations<14, 10>::value));
}
//*************************************************************************
TEST(test_gdc_for_positive_integers)
{
CHECK_EQUAL(1, etl::gcd( 3, 5, 7));
CHECK_EQUAL(2, etl::gcd( 4, 6, 8));
CHECK_EQUAL(3, etl::gcd( 9, 6, 3));
CHECK_EQUAL(4, etl::gcd( 8, 4, 12));
CHECK_EQUAL(5, etl::gcd(10, 5, 15));
}
//*************************************************************************
TEST(test_gdc_for_negative_integers)
{
CHECK_EQUAL(1, etl::gcd( -3, -5, -7));
CHECK_EQUAL(2, etl::gcd( -4, -6, -8));
CHECK_EQUAL(3, etl::gcd( -9, -6, -3));
CHECK_EQUAL(4, etl::gcd( -8, -4, -12));
CHECK_EQUAL(5, etl::gcd(-10, -5, -15));
}
#if ETL_USING_CPP14
//*************************************************************************
TEST(test_constexpr_gdc)
{
constexpr int gcd1 = etl::gcd(3, 5, 7);
constexpr int gcd2 = etl::gcd(4, 6, 8);
constexpr int gcd3 = etl::gcd(9, 6, 3);
constexpr int gcd4 = etl::gcd(8, 4, 12);
constexpr int gcd5 = etl::gcd(10, 5, 15);
CHECK_EQUAL(1, gcd1);
CHECK_EQUAL(2, gcd2);
CHECK_EQUAL(3, gcd3);
CHECK_EQUAL(4, gcd4);
CHECK_EQUAL(5, gcd5);
}
#endif
//*************************************************************************
TEST(test_lcm_for_positive_integers)
{
CHECK_EQUAL(12, etl::lcm(3, 4, 6));
CHECK_EQUAL(30, etl::lcm(3, 5, 10));
CHECK_EQUAL(20, etl::lcm(2, 5, 4));
CHECK_EQUAL(0, etl::lcm(0, 5, 7));
CHECK_EQUAL(5, etl::lcm(5, 5, 5));
}
//*************************************************************************
TEST(test_lcm_for_negative_integers)
{
CHECK_EQUAL(12, etl::lcm(-3, -4, -6));
CHECK_EQUAL(30, etl::lcm(-3, -5, -10));
CHECK_EQUAL(20, etl::lcm(-2, -5, -4));
CHECK_EQUAL(0, etl::lcm(-0, -5, -7));
CHECK_EQUAL(5, etl::lcm(-5, -5, -5));
}
#if ETL_USING_CPP14
//*************************************************************************
TEST(test_constexpr_lcm)
{
constexpr int lcm1 = etl::lcm(3, 4, 6);
constexpr int lcm2 = etl::lcm(3, 5, 10);
constexpr int lcm3 = etl::lcm(2, 5, 4);
constexpr int lcm4 = etl::lcm(0, 5, 7);
constexpr int lcm5 = etl::lcm(5, 5, 5);
CHECK_EQUAL(12, lcm1);
CHECK_EQUAL(30, lcm2);
CHECK_EQUAL(20, lcm3);
CHECK_EQUAL(0, lcm4);
CHECK_EQUAL(5, lcm5);
}
#endif
};
}
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