dnomd343
/
klotski
mirror of https://github.com/dnomd343/klotski.git
1
0
Fork 0
Code Issues Projects Releases Wiki Activity
Browse Source

perf: algorithm of all_cases

master
Dnomd343 2 years ago
parent
bdd6260866
commit
14bfb10533
2 changed files with 65 additions and 175 deletions
Whitespace
Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL
Unified View
Diff Options
Show Stats Download Patch File Download Diff File
  1. BIN
      all_cases/all
  2. 240
      all_cases/main.cc

BIN
all_cases/all
View File

Binary file not shown.

240
all_cases/main.cc
View File

@ -1,9 +1,6 @@
#include <iostream> #include <iostream>
#include <vector>
#include <algorithm> #include <algorithm>
#include <vector>
void load_basic_ranges(std::vector<uint32_t> &basic_ranges);
void build_basic_ranges(int n1, int n2, int n3, int n4, std::vector<uint32_t> &ranges);
inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
bin -= (bin >> 1) & 0x55555555; bin -= (bin >> 1) & 0x55555555;
@ -15,7 +12,7 @@ inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
return bin & 0b111111; return bin & 0b111111;
} }
uint32_t binary_reverse(uint32_t &bin) { // reverse binary every 2-bits inline uint32_t binary_reverse(uint32_t bin) { // reverse binary every 2-bits
bin = ((bin << 16) & 0xFFFF0000) | ((bin >> 16) & 0x0000FFFF); bin = ((bin << 16) & 0xFFFF0000) | ((bin >> 16) & 0x0000FFFF);
bin = ((bin << 8) & 0xFF00FF00) | ((bin >> 8) & 0x00FF00FF); bin = ((bin << 8) & 0xFF00FF00) | ((bin >> 8) & 0x00FF00FF);
bin = ((bin << 4) & 0xF0F0F0F0) | ((bin >> 4) & 0x0F0F0F0F); bin = ((bin << 4) & 0xF0F0F0F0) | ((bin >> 4) & 0x0F0F0F0F);
@ -23,9 +20,9 @@ uint32_t binary_reverse(uint32_t &bin) { // reverse binary every 2-bits
} }
bool check_case(uint32_t head, uint32_t range) { // check whether the case is valid bool check_case(uint32_t head, uint32_t range) { // check whether the case is valid
uint32_t status = 0b110011 << head; // fill 2x2 block uint32_t mask = 0b110011 << head; // fill 2x2 block
for (int addr = 0; range; range >>= 2) { // traverse every 2-bits for (int addr = 0; range; range >>= 2) { // traverse every 2-bits
while (status >> addr & 0b1) { while (mask >> addr & 0b1) {
++addr; // search next not filled block ++addr; // search next not filled block
} }
switch (range & 0b11) { switch (range & 0b11) {
@ -34,235 +31,128 @@ bool check_case(uint32_t head, uint32_t range) { // check whether the case is va
if (addr > 19) { // invalid address if (addr > 19) { // invalid address
return false; return false;
} }
status |= 0b1 << addr; // fill 1x1 block mask |= 0b1 << addr; // fill 1x1 block
break; break;
case 0b10: // 2x1 block case 0b10: // 2x1 block
if (addr > 15 || status >> (addr + 4) & 0b1) { // invalid address if (addr > 15 || mask >> (addr + 4) & 0b1) { // invalid address
return false; return false;
} }
status |= 0b10001 << addr; // fill 2x1 block mask |= 0b10001 << addr; // fill 2x1 block
break; break;
case 0b01: // 1x2 block case 0b01: // 1x2 block
if (addr > 18 || (addr & 0b11) == 0b11 || status >> (addr + 1) & 0b1) { // invalid address if (addr > 18 || (addr & 0b11) == 0b11 || mask >> (addr + 1) & 0b1) { // invalid address
return false; return false;
} }
status |= 0b11 << addr; // fill 1x2 block mask |= 0b11 << addr; // fill 1x2 block
break; break;
} }
} }
return true; return true; // case valid
}
void find_all_cases(std::vector<uint64_t> &all_cases) {
std::vector<uint32_t> basic_ranges, basic_rev_ranges;
load_basic_ranges(basic_ranges);
for (uint32_t range : basic_ranges) {
basic_rev_ranges.emplace_back(binary_reverse(range));
}
all_cases.clear();
for (uint32_t head = 0; head < 16; ++head) { // address for 2x2 block
if ((head & 0b11) == 0b11) { // aka (head % 4 == 3)
continue;
}
uint64_t prefix = int64_t(head) << 32;
for (uint32_t range : basic_rev_ranges) { // combine 2x2 address and range
if (check_case(head, range)) {
// TODO: emplace with range_rev
all_cases.emplace_back(prefix | range);
}
}
}
}
void load_basic_ranges(std::vector<uint32_t> &basic_ranges) { // load basic ranges
basic_ranges.clear();
for (int n = 0; n <= 7; ++n) { // number of 1x2 and 2x1 block -> 0 ~ 7
for (int n_2x1 = 0; n_2x1 <= n; ++n_2x1) { // number of 2x1 block -> 0 ~ n
for (int n_1x1 = 0; n_1x1 <= (14 - n * 2); ++n_1x1) { // number of 1x1 block -> 0 ~ (14 - 2n)
int n_1x2 = n - n_2x1;
int n_space = 16 - n * 2 - n_1x1;
// 0x0 -> 00 / 1x2 -> 01 / 2x1 -> 10 / 1x1 -> 11
build_basic_ranges(n_space, n_1x2, n_2x1, n_1x1, basic_ranges);
}
}
}
std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
} }
void build_basic_ranges(int n1, int n2, int n3, int n4, std::vector<uint32_t> &ranges) { void build_basic_ranges(int n1, int n2, int n3, int n4, std::vector<uint32_t> &ranges) { // build target ranges
// printf("generate n1 = %d | n2 = %d | n3 = %d | n4 = %d\n", n1, n2, n3, n4); int len, limit;
constexpr uint32_t M_01 = 0b01 << 30; constexpr uint32_t M_01 = 0b01 << 30;
constexpr uint32_t M_10 = 0b10 << 30; constexpr uint32_t M_10 = 0b10 << 30;
constexpr uint32_t M_11 = 0b11 << 30; constexpr uint32_t M_11 = 0b11 << 30;
std::vector<uint32_t> cache_1, cache_2;
std::vector<uint32_t> cache_1;
std::vector<uint32_t> cache_2;
int len, limit;
len = n1 + n2; len = n1 + n2;
limit = 0b1 << len; limit = 0b1 << len;
for (uint32_t bin = 0; bin < limit; ++bin) { for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n2) { // skip binary without `n2` non-zero bits if (binary_count(bin) != n2) { // skip binary without `n2` non-zero bits
continue; continue;
} }
uint32_t range = 0; uint32_t range = 0;
uint32_t mask = bin;
for (int i = 0; i < len; ++i) { // generate range base on binary value for (int i = 0; i < len; ++i) { // generate range base on binary value
range >>= 2; if ((bin >> i) & 0b1) { // non-zero bit
if (mask & 0b1) { // non-zero bit (range >>= 2) |= M_01;
range |= M_01;
} }
mask >>= 1;
} }
cache_1.emplace_back(range); // insert into cache level 1 cache_1.emplace_back(range); // insert into first layer
} }
len += n3; len += n3;
limit <<= n3; limit <<= n3;
for (uint32_t bin = 0; bin < limit; ++bin) { for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n3) { // skip binary without `n3` non-zero bits if (binary_count(bin) != n3) { // skip binary without `n3` non-zero bits
continue; continue;
} }
for (uint32_t base : cache_1) { // traverse first layer
for (uint32_t base : cache_1) { // traverse cache level 1
uint32_t range = 0; uint32_t range = 0;
uint32_t mask = bin;
for (int i = 0; i < len; ++i) { // generate range base on binary value for (int i = 0; i < len; ++i) { // generate range base on binary value
range >>= 2; if ((bin >> i) & 0b1) { // non-zero bit
if (mask & 0b1) { // non-zero bit (range >>= 2) |= M_10;
range |= M_10; continue;
} else { // zero bit
range |= base & M_11;
base <<= 2;
} }
mask >>= 1; (range >>= 2) |= base & M_11;
base <<= 2;
} }
cache_2.emplace_back(range); // insert into cache level 2 cache_2.emplace_back(range); // insert into second layer
} }
} }
len += n4; len += n4;
limit <<= n4; limit <<= n4;
for (uint32_t bin = 0; bin < limit; ++bin) { for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n4) { // skip binary without `n4` non-zero bits if (binary_count(bin) != n4) { // skip binary without `n4` non-zero bits
continue; continue;
} }
for (uint32_t base : cache_2) { // traverse cache level 2 for (uint32_t base : cache_2) { // traverse second layer
uint32_t range = 0; uint32_t range = 0;
uint32_t mask = bin;
for (int i = 0; i < len; ++i) { // generate range base on binary value for (int i = 0; i < len; ++i) { // generate range base on binary value
range >>= 2; if ((bin >> i) & 0b1) { // non-zero bit
if (mask & 0b1) { // non-zero bit (range >>= 2) |= M_11;
range |= M_11; continue;
} else { // zero bit
range |= base & M_11;
base <<= 2;
} }
mask >>= 1; (range >>= 2) |= base & M_11;
base <<= 2;
} }
ranges.emplace_back(range); // insert into release ranges ranges.emplace_back(range); // insert into release ranges
} }
} }
} }
//bool check_case(uint32_t head, uint32_t range) { // whether case is valid void load_basic_ranges(std::vector<uint32_t> &basic_ranges) { // load basic ranges
// basic_ranges.clear();
// constexpr uint32_t M_00 = 0B00 << 30; for (int n = 0; n <= 7; ++n) { // number of 1x2 and 2x1 block -> 0 ~ 7
// constexpr uint32_t M_01 = 0b01 << 30; for (int n_2x1 = 0; n_2x1 <= n; ++n_2x1) { // number of 2x1 block -> 0 ~ n
// constexpr uint32_t M_10 = 0b10 << 30; for (int n_1x1 = 0; n_1x1 <= (14 - n * 2); ++n_1x1) { // number of 1x1 block -> 0 ~ (14 - 2n)
// constexpr uint32_t M_11 = 0b11 << 30; int n_1x2 = n - n_2x1;
// int n_space = 16 - n * 2 - n_1x1;
// uint32_t status = 0b110011 << head; // 0x0 -> 00 / 1x2 -> 01 / 2x1 -> 10 / 1x1 -> 11
// build_basic_ranges(n_space, n_1x2, n_2x1, n_1x1, basic_ranges); // build target ranges
// for (int addr = 0; range; range <<= 2) { }
// while (status >> addr & 0x1) { }
// ++addr; }
// } std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
// for (uint32_t &range : basic_ranges) {
// switch (range & M_11) { range = binary_reverse(range); // range reverse
// case M_00: // space }
// case M_11: // 1x1 }
// if (addr > 19) {
// return false;
// }
// status |= 0b1 << addr;
// break;
// case M_01: // 1x2
// if (addr > 18 || (addr & 0b11) == 0b11 || status >> (addr + 1) & 0b1) {
// return false;
// }
// status |= 0b11 << addr;
// break;
// case M_10: // 2x1
// if (addr > 15 || status >> (addr + 4) & 0b1) {
// return false;
// }
// status |= 0b10001 << addr;
// break;
// }
// }
//
// return true;
// uint32_t status = 0x110011 << head;
// for (int addr = 0; range; range >>= 2) {
// while (status >> addr & 0x1) {
// ++addr;
// }
// switch (range & 0x3) {
// case 0b00: // space
// case 0b11: // 1x1
// if (addr > 19) {
// return false;
// }
// status |= 0b1 << addr;
// break;
// case 0b01: // 1x2
// if (addr > 18 || addr % 4 == 3 || status >> (addr + 1) & 0x1) {
// return false;
// }
// status |= 0b11 << addr;
// break;
// case 0b10: // 2x1
// if (addr > 15 || status >> (addr + 4) & 0x1) {
// return false;
// }
// status |= 0b10001 << addr;
// break;
// }
// }
// return true;
//} void find_all_cases(std::vector<uint64_t> &all_cases) { // find all valid cases
std::vector<uint32_t> basic_ranges;
load_basic_ranges(basic_ranges); // load basic ranges
all_cases.clear();
for (uint32_t head = 0; head < 16; ++head) { // address for 2x2 block
if ((head & 0b11) == 0b11) { // aka (head % 4 == 3)
continue;
}
uint64_t prefix = int64_t(head) << 32;
for (uint32_t range : basic_ranges) { // combine 2x2 address and range
if (check_case(head, range)) {
all_cases.emplace_back(prefix | binary_reverse(range)); // found valid case
}
}
}
}
int main() { int main() {
// std::vector<uint32_t> temp; std::vector<uint64_t> all_cases;
// load_basic_ranges(temp); find_all_cases(all_cases);
// n1 = 2 | n2 = 1 | n3 = 3 | n4 = 6 printf("size -> %ld\n", all_cases.size());
// build_basic_ranges(2, 1, 3, 6, temp);
std::vector<uint64_t> temp;
find_all_cases(temp);
printf("size -> %ld\n", temp.size());
return 0; return 0;
} }

Write Preview
Loading…
Cancel
Save