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rotate.ixx
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module;
#include <array>
#include <algorithm>
#include <iostream>
export module cube.rotate;
import cube.type;
import array_tools;
import cube.transform;
namespace cube {
using CycleIType = CubeI<1>::value_type;// does not matter which N=1 to use to get the value type of the CubeI
using Cycle = std::array<CycleIType, 4>;
constexpr [[nodiscard]]
Cycle create_cycle(const int d1, const int d2) noexcept
{
return Cycle{
static_cast<CycleIType>((0 << d1) | (0 << d2)),
static_cast<CycleIType>((1 << d1) | (0 << d2)),
static_cast<CycleIType>((1 << d1) | (1 << d2)),
static_cast<CycleIType>((0 << d1) | (1 << d2)) };
}
template <int M, int J = 0> constexpr
CycleIType find_next_in_cycle(const std::array<Cycle, M>& cycles, const int i) noexcept
{
if constexpr (J >= M) { // end recursion
return static_cast<CycleIType>(-1);
} else {
const Cycle& c = cycles[J];
if (c[0] == i) return c[1];
if (c[1] == i) return c[2];
if (c[2] == i) return c[3];
if (c[3] == i) return c[0];
return find_next_in_cycle<M, J + 1>(cycles, i); // call recursively
}
}
template <int N> constexpr [[nodiscard]]
std::array<int, (N - 2)> fixed_dimensions(const int d1, const int d2) noexcept {
if constexpr (N == 3) {
const int d1a = std::min(d1, d2);
const int d2a = std::max(d1, d2);
if ((d1a == 0) && (d2a == 1)) return { 2 };
if ((d1a == 0) && (d2a == 2)) return { 1 };
if ((d1a == 1) && (d2a == 2)) return { 0 };
return { -1 };
}
else if constexpr (N == 4) {
const int d1a = std::min(d1, d2);
const int d2a = std::max(d1, d2);
if ((d1a == 0) & (d2a == 1)) return { 2, 3 };
if ((d1a == 0) & (d2a == 2)) return { 1, 3 };
if ((d1a == 0) & (d2a == 3)) return { 1, 2 };
if ((d1a == 1) & (d2a == 2)) return { 0, 3 };
if ((d1a == 1) & (d2a == 3)) return { 0, 2 };
if ((d1a == 2) & (d2a == 3)) return { 0, 1 };
return { -1, -1 };
}
else if constexpr (N == 5) {
const int d1a = std::min(d1, d2);
const int d2a = std::max(d1, d2);
if ((d1a == 0) && (d2a == 1)) return { 2, 3, 4 };
if ((d1a == 0) && (d2a == 2)) return { 1, 3, 4 };
if ((d1a == 0) && (d2a == 3)) return { 1, 2, 4 };
if ((d1a == 0) && (d2a == 4)) return { 1, 2, 3 };
if ((d1a == 1) && (d2a == 2)) return { 0, 3, 4 };
if ((d1a == 1) && (d2a == 3)) return { 0, 2, 4 };
if ((d1a == 1) && (d2a == 4)) return { 0, 2, 3 };
if ((d1a == 2) && (d2a == 3)) return { 0, 1, 4 };
if ((d1a == 2) && (d2a == 4)) return { 0, 1, 3 };
if ((d1a == 3) && (d2a == 4)) return { 0, 1, 2 };
return { -1, -1, -1 };
}
else if constexpr (N == 6) {
const int d1a = std::min(d1, d2);
const int d2a = std::max(d1, d2);
if ((d1a == 0) && (d2a == 1)) return { 2, 3, 4, 5 };
if ((d1a == 0) && (d2a == 2)) return { 1, 3, 4, 5 };
if ((d1a == 0) && (d2a == 3)) return { 1, 2, 4, 5 };
if ((d1a == 0) && (d2a == 4)) return { 1, 2, 3, 5 };
if ((d1a == 0) && (d2a == 5)) return { 1, 2, 3, 4 };
if ((d1a == 1) && (d2a == 2)) return { 0, 3, 4, 5 };
if ((d1a == 1) && (d2a == 3)) return { 0, 2, 4, 5 };
if ((d1a == 1) && (d2a == 4)) return { 0, 2, 3, 5 };
if ((d1a == 1) && (d2a == 5)) return { 0, 2, 3, 4 };
if ((d1a == 2) && (d2a == 3)) return { 0, 1, 4, 5 };
if ((d1a == 2) && (d2a == 4)) return { 0, 1, 3, 5 };
if ((d1a == 2) && (d2a == 5)) return { 0, 1, 3, 4 };
if ((d1a == 3) && (d2a == 4)) return { 0, 1, 2, 5 };
if ((d1a == 3) && (d2a == 5)) return { 0, 1, 2, 4 };
if ((d1a == 4) && (d2a == 5)) return { 0, 1, 2, 3 };
return { -1, -1, -1, -1 };
}
}
export template <int N> constexpr [[nodiscard]]
CubeI<N> rotate(int d1, int d2) {
if constexpr (N == 2) {
const Cycle cycle = create_cycle(d1, d2);
const auto cycles = std::array<Cycle, 1> {cycle};
const auto x1 = find_next_in_cycle(cycles, 0);
const auto x2 = find_next_in_cycle(cycles, 1);
const auto x3 = find_next_in_cycle(cycles, 2);
const auto x4 = find_next_in_cycle(cycles, 3);
return CubeI<2>{x1, x2, x3, x4};
}
else if constexpr (N == 3) {
const Cycle cycle = create_cycle(d1, d2);
const auto dim_fixed = fixed_dimensions<N>(d1, d2);
const auto cycles = std::array<Cycle, 2> {
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]))
};
return CubeI<N>{
find_next_in_cycle(cycles, 0),
find_next_in_cycle(cycles, 1),
find_next_in_cycle(cycles, 2),
find_next_in_cycle(cycles, 3),
find_next_in_cycle(cycles, 4),
find_next_in_cycle(cycles, 5),
find_next_in_cycle(cycles, 6),
find_next_in_cycle(cycles, 7)
};
}
else if constexpr (N == 4) {
const Cycle cycle = create_cycle(d1, d2);
const auto dim_fixed = fixed_dimensions<N>(d1, d2);
const auto cycles = std::array<Cycle, 4> {
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]))
};
return CubeI<N>{
find_next_in_cycle(cycles, 0),
find_next_in_cycle(cycles, 1),
find_next_in_cycle(cycles, 2),
find_next_in_cycle(cycles, 3),
find_next_in_cycle(cycles, 4),
find_next_in_cycle(cycles, 5),
find_next_in_cycle(cycles, 6),
find_next_in_cycle(cycles, 7),
find_next_in_cycle(cycles, 8),
find_next_in_cycle(cycles, 9),
find_next_in_cycle(cycles, 10),
find_next_in_cycle(cycles, 11),
find_next_in_cycle(cycles, 12),
find_next_in_cycle(cycles, 13),
find_next_in_cycle(cycles, 14),
find_next_in_cycle(cycles, 15)
};
}
else if constexpr (N == 5) {
const Cycle cycle = create_cycle(d1, d2);
const auto dim_fixed = fixed_dimensions<N>(d1, d2);
const auto cycles = std::array<Cycle, 8> {
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2]))
};
return CubeI<N>{
find_next_in_cycle(cycles, 0),
find_next_in_cycle(cycles, 1),
find_next_in_cycle(cycles, 2),
find_next_in_cycle(cycles, 3),
find_next_in_cycle(cycles, 4),
find_next_in_cycle(cycles, 5),
find_next_in_cycle(cycles, 6),
find_next_in_cycle(cycles, 7),
find_next_in_cycle(cycles, 8),
find_next_in_cycle(cycles, 9),
find_next_in_cycle(cycles, 10),
find_next_in_cycle(cycles, 11),
find_next_in_cycle(cycles, 12),
find_next_in_cycle(cycles, 13),
find_next_in_cycle(cycles, 14),
find_next_in_cycle(cycles, 15),
find_next_in_cycle(cycles, 16),
find_next_in_cycle(cycles, 17),
find_next_in_cycle(cycles, 18),
find_next_in_cycle(cycles, 19),
find_next_in_cycle(cycles, 20),
find_next_in_cycle(cycles, 21),
find_next_in_cycle(cycles, 22),
find_next_in_cycle(cycles, 23),
find_next_in_cycle(cycles, 24),
find_next_in_cycle(cycles, 25),
find_next_in_cycle(cycles, 26),
find_next_in_cycle(cycles, 27),
find_next_in_cycle(cycles, 28),
find_next_in_cycle(cycles, 29),
find_next_in_cycle(cycles, 30),
find_next_in_cycle(cycles, 31)
};
}
else if constexpr (N == 6) {
const Cycle cycle = create_cycle(d1, d2);
const auto dim_fixed = fixed_dimensions<N>(d1, d2);
const auto cycles = std::array<Cycle, 16> {
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (0 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (0 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (0 << dim_fixed[1]) | (1 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (0 << dim_fixed[2]) | (1 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2]) | (0 << dim_fixed[3])),
array_tools::add<CycleIType>(cycle, (1 << dim_fixed[0]) | (1 << dim_fixed[1]) | (1 << dim_fixed[2]) | (1 << dim_fixed[3]))
};
return CubeI<N>{
find_next_in_cycle(cycles, 0),
find_next_in_cycle(cycles, 1),
find_next_in_cycle(cycles, 2),
find_next_in_cycle(cycles, 3),
find_next_in_cycle(cycles, 4),
find_next_in_cycle(cycles, 5),
find_next_in_cycle(cycles, 6),
find_next_in_cycle(cycles, 7),
find_next_in_cycle(cycles, 8),
find_next_in_cycle(cycles, 9),
find_next_in_cycle(cycles, 10),
find_next_in_cycle(cycles, 11),
find_next_in_cycle(cycles, 12),
find_next_in_cycle(cycles, 13),
find_next_in_cycle(cycles, 14),
find_next_in_cycle(cycles, 15),
find_next_in_cycle(cycles, 16),
find_next_in_cycle(cycles, 17),
find_next_in_cycle(cycles, 18),
find_next_in_cycle(cycles, 19),
find_next_in_cycle(cycles, 20),
find_next_in_cycle(cycles, 21),
find_next_in_cycle(cycles, 22),
find_next_in_cycle(cycles, 23),
find_next_in_cycle(cycles, 24),
find_next_in_cycle(cycles, 25),
find_next_in_cycle(cycles, 26),
find_next_in_cycle(cycles, 27),
find_next_in_cycle(cycles, 28),
find_next_in_cycle(cycles, 29),
find_next_in_cycle(cycles, 30),
find_next_in_cycle(cycles, 31),
find_next_in_cycle(cycles, 32),
find_next_in_cycle(cycles, 33),
find_next_in_cycle(cycles, 34),
find_next_in_cycle(cycles, 35),
find_next_in_cycle(cycles, 36),
find_next_in_cycle(cycles, 37),
find_next_in_cycle(cycles, 38),
find_next_in_cycle(cycles, 39),
find_next_in_cycle(cycles, 40),
find_next_in_cycle(cycles, 41),
find_next_in_cycle(cycles, 42),
find_next_in_cycle(cycles, 43),
find_next_in_cycle(cycles, 44),
find_next_in_cycle(cycles, 45),
find_next_in_cycle(cycles, 46),
find_next_in_cycle(cycles, 47),
find_next_in_cycle(cycles, 48),
find_next_in_cycle(cycles, 49),
find_next_in_cycle(cycles, 50),
find_next_in_cycle(cycles, 51),
find_next_in_cycle(cycles, 52),
find_next_in_cycle(cycles, 53),
find_next_in_cycle(cycles, 54),
find_next_in_cycle(cycles, 55),
find_next_in_cycle(cycles, 56),
find_next_in_cycle(cycles, 57),
find_next_in_cycle(cycles, 58),
find_next_in_cycle(cycles, 59),
find_next_in_cycle(cycles, 60),
find_next_in_cycle(cycles, 61),
find_next_in_cycle(cycles, 62),
find_next_in_cycle(cycles, 63)
};
}
}
consteval void test_rotate() {
{
constexpr int N = 2;
constexpr auto id = init_cubeI<N>();
constexpr auto a = rotate<N>(0, 1); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(1, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr int N = 3;
constexpr auto id = init_cubeI<N>();
constexpr auto r01 = rotate<N>(0, 1);
constexpr auto r10 = rotate<N>(1, 0);
constexpr auto r02 = rotate<N>(0, 2);
constexpr auto r20 = rotate<N>(2, 0);
constexpr auto r12 = rotate<N>(1, 2);
constexpr auto r21 = rotate<N>(2, 1);
static_assert(array_tools::equal(function_composition<N>(r01, r01, r01, r01), id), "");
static_assert(array_tools::equal(function_composition<N>(r10, r10, r10, r10), id), "");
static_assert(array_tools::equal(function_composition<N>(r02, r02, r02, r02), id), "");
static_assert(array_tools::equal(function_composition<N>(r20, r20, r20, r20), id), "");
static_assert(array_tools::equal(function_composition<N>(r12, r12, r12, r12), id), "");
static_assert(array_tools::equal(function_composition<N>(r21, r21, r21, r21), id), "");
static_assert(array_tools::equal(function_composition<N>(r01, r10), id), "");
static_assert(array_tools::equal(function_composition<N>(r02, r20), id), "");
static_assert(array_tools::equal(function_composition<N>(r12, r21), id), "");
constexpr auto t01 = function_composition<N>(r01, r01);
constexpr auto t10 = function_composition<N>(r10, r10);
constexpr auto t02 = function_composition<N>(r02, r02);
constexpr auto t20 = function_composition<N>(r20, r20);
constexpr auto t12 = function_composition<N>(r12, r12);
constexpr auto t21 = function_composition<N>(r21, r21);
static_assert(array_tools::equal(t01, t10), "");
static_assert(array_tools::equal(t02, t20), "");
static_assert(array_tools::equal(t12, t21), "");
}
{
constexpr int N = 4;
constexpr auto id = init_cubeI<N>();
{
constexpr auto a = rotate<N>(0, 1); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(1, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
}
{
constexpr int N = 5;
constexpr auto id = init_cubeI<N>();
{
constexpr auto a = rotate<N>(0, 1); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(1, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(3, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 3); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
}
{
constexpr int N = 6;
constexpr auto id = init_cubeI<N>();
{
constexpr auto a = rotate<N>(0, 1); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(1, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(0, 5); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(5, 0); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 2); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(2, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(1, 5); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(5, 1); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 3); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(3, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(2, 5); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(5, 2); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(3, 4); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(4, 3); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(3, 5); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(5, 3); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
{
constexpr auto a = rotate<N>(4, 5); static_assert(array_tools::equal(function_composition<N>(a, a, a, a), id), "");
constexpr auto b = rotate<N>(5, 4); static_assert(array_tools::equal(function_composition<N>(b, b, b, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, b), id), "");
static_assert(array_tools::equal(function_composition<N>(a, a), function_composition<N>(b, b)), "");
}
}
}
}