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perf: AllCases module

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Dnomd343 2 years ago
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2 changed files with 193 additions and 193 deletions
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  1. 274
      all_cases/all_cases.cc
  2. 112
      klotski/all_cases.cc

274
all_cases/all_cases.cc
View File

@ -1,145 +1,145 @@
#include <algorithm>
#include "all_cases.h"
inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
bin -= (bin >> 1) & 0x55555555;
bin = (bin & 0x33333333) + ((bin >> 2) & 0x33333333);
bin = ((bin >> 4) + bin) & 0x0F0F0F0F;
// return (bin * 0x01010101) >> 24; // AMD CPU
bin += bin >> 8;
bin += bin >> 16;
return bin & 0b111111;
}
//inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
// bin -= (bin >> 1) & 0x55555555;
// bin = (bin & 0x33333333) + ((bin >> 2) & 0x33333333);
// bin = ((bin >> 4) + bin) & 0x0F0F0F0F;
//// return (bin * 0x01010101) >> 24; // AMD CPU
// bin += bin >> 8;
// bin += bin >> 16;
// return bin & 0b111111;
//}
uint32_t AllCases::binary_reverse(uint32_t bin) { // reverse binary every 2-bits
bin = ((bin << 16) & 0xFFFF0000) | ((bin >> 16) & 0x0000FFFF);
bin = ((bin << 8) & 0xFF00FF00) | ((bin >> 8) & 0x00FF00FF);
bin = ((bin << 4) & 0xF0F0F0F0) | ((bin >> 4) & 0x0F0F0F0F);
return ((bin << 2) & 0xCCCCCCCC) | ((bin >> 2) & 0x33333333);
}
//uint32_t AllCases::binary_reverse(uint32_t bin) { // reverse binary every 2-bits
// bin = ((bin << 16) & 0xFFFF0000) | ((bin >> 16) & 0x0000FFFF);
// bin = ((bin << 8) & 0xFF00FF00) | ((bin >> 8) & 0x00FF00FF);
// bin = ((bin << 4) & 0xF0F0F0F0) | ((bin >> 4) & 0x0F0F0F0F);
// return ((bin << 2) & 0xCCCCCCCC) | ((bin >> 2) & 0x33333333);
//}
bool AllCases::check_case(uint32_t head, uint32_t range) { // check whether the case is valid
uint32_t mask = 0b110011 << head; // fill 2x2 block
for (int addr = 0; range; range >>= 2) { // traverse every 2-bits
while (mask >> addr & 0b1) {
++addr; // search next not filled block
}
switch (range & 0b11) {
case 0b00: // space block
case 0b11: // 1x1 block
if (addr > 19) { // invalid address
return false;
}
mask |= 0b1 << addr; // fill 1x1 block
break;
case 0b10: // 2x1 block
if (addr > 15 || mask >> (addr + 4) & 0b1) { // invalid address
return false;
}
mask |= 0b10001 << addr; // fill 2x1 block
break;
case 0b01: // 1x2 block
if (addr > 18 || (addr & 0b11) == 0b11 || mask >> (addr + 1) & 0b1) { // invalid address
return false;
}
mask |= 0b11 << addr; // fill 1x2 block
break;
}
}
return true; // valid case
}
//bool AllCases::check_case(uint32_t head, uint32_t range) { // check whether the case is valid
// uint32_t mask = 0b110011 << head; // fill 2x2 block
// for (int addr = 0; range; range >>= 2) { // traverse every 2-bits
// while (mask >> addr & 0b1) {
// ++addr; // search next not filled block
// }
// switch (range & 0b11) {
// case 0b00: // space block
// case 0b11: // 1x1 block
// if (addr > 19) { // invalid address
// return false;
// }
// mask |= 0b1 << addr; // fill 1x1 block
// break;
// case 0b10: // 2x1 block
// if (addr > 15 || mask >> (addr + 4) & 0b1) { // invalid address
// return false;
// }
// mask |= 0b10001 << addr; // fill 2x1 block
// break;
// case 0b01: // 1x2 block
// if (addr > 18 || (addr & 0b11) == 0b11 || mask >> (addr + 1) & 0b1) { // invalid address
// return false;
// }
// mask |= 0b11 << addr; // fill 1x2 block
// break;
// }
// }
// return true; // valid case
//}
void AllCases::generate_ranges(int n1, int n2, int n3, int n4) { // build target ranges
int len, limit;
constexpr uint32_t M_01 = 0b01 << 30;
constexpr uint32_t M_10 = 0b10 << 30;
constexpr uint32_t M_11 = 0b11 << 30;
std::vector<uint32_t> cache_1, cache_2;
//void AllCases::generate_ranges(int n1, int n2, int n3, int n4) { // build target ranges
// int len, limit;
// constexpr uint32_t M_01 = 0b01 << 30;
// constexpr uint32_t M_10 = 0b10 << 30;
// constexpr uint32_t M_11 = 0b11 << 30;
// std::vector<uint32_t> cache_1, cache_2;
//
// len = n1 + n2;
// limit = 0b1 << len;
// for (uint32_t bin = 0; bin < limit; ++bin) {
// if (binary_count(bin) != n2) { // skip binary without `n2` non-zero bits
// continue;
// }
// uint32_t range = 0;
// for (int i = 0; i < len; ++i) { // generate range base on binary value
// range >>= 2;
// if ((bin >> i) & 0b1) { // non-zero bit
// range |= M_01; // 01000...
// }
// }
// cache_1.emplace_back(range); // insert into first layer
// }
//
// len += n3;
// limit <<= n3;
// for (uint32_t bin = 0; bin < limit; ++bin) {
// if (binary_count(bin) != n3) { // skip binary without `n3` non-zero bits
// continue;
// }
// for (uint32_t base : cache_1) { // traverse first layer
// uint32_t range = 0;
// for (int i = 0; i < len; ++i) { // generate range base on binary value
// if ((bin >> i) & 0b1) { // non-zero bit
// (range >>= 2) |= M_10; // 10000...
// continue;
// }
// (range >>= 2) |= base & M_11;
// base <<= 2;
// }
// cache_2.emplace_back(range); // insert into second layer
// }
// }
//
// len += n4;
// limit <<= n4;
// for (uint32_t bin = 0; bin < limit; ++bin) {
// if (binary_count(bin) != n4) { // skip binary without `n4` non-zero bits
// continue;
// }
// for (uint32_t base : cache_2) { // traverse second layer
// uint32_t range = 0;
// for (int i = 0; i < len; ++i) { // generate range base on binary value
// if ((bin >> i) & 0b1) { // non-zero bit
// (range >>= 2) |= M_11; // 11000...
// continue;
// }
// (range >>= 2) |= base & M_11;
// base <<= 2;
// }
// basic_ranges.emplace_back(range); // insert into release ranges
// }
// }
//}
len = n1 + n2;
limit = 0b1 << len;
for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n2) { // skip binary without `n2` non-zero bits
continue;
}
uint32_t range = 0;
for (int i = 0; i < len; ++i) { // generate range base on binary value
range >>= 2;
if ((bin >> i) & 0b1) { // non-zero bit
range |= M_01; // 01000...
}
}
cache_1.emplace_back(range); // insert into first layer
}
//void AllCases::load_basic_ranges() { // load basic ranges
// 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
// generate_ranges(n_space, n_1x2, n_2x1, n_1x1); // build target ranges
// }
// }
// }
// std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
// for (uint32_t &range : basic_ranges) {
// range = binary_reverse(range); // range reverse
// }
//}
len += n3;
limit <<= n3;
for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n3) { // skip binary without `n3` non-zero bits
continue;
}
for (uint32_t base : cache_1) { // traverse first layer
uint32_t range = 0;
for (int i = 0; i < len; ++i) { // generate range base on binary value
if ((bin >> i) & 0b1) { // non-zero bit
(range >>= 2) |= M_10; // 10000...
continue;
}
(range >>= 2) |= base & M_11;
base <<= 2;
}
cache_2.emplace_back(range); // insert into second layer
}
}
len += n4;
limit <<= n4;
for (uint32_t bin = 0; bin < limit; ++bin) {
if (binary_count(bin) != n4) { // skip binary without `n4` non-zero bits
continue;
}
for (uint32_t base : cache_2) { // traverse second layer
uint32_t range = 0;
for (int i = 0; i < len; ++i) { // generate range base on binary value
if ((bin >> i) & 0b1) { // non-zero bit
(range >>= 2) |= M_11; // 11000...
continue;
}
(range >>= 2) |= base & M_11;
base <<= 2;
}
basic_ranges.emplace_back(range); // insert into release ranges
}
}
}
void AllCases::load_basic_ranges() { // load basic ranges
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
generate_ranges(n_space, n_1x2, n_2x1, n_1x1); // build target ranges
}
}
}
std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
for (uint32_t &range : basic_ranges) {
range = binary_reverse(range); // range reverse
}
}
void AllCases::find_all_cases() { // find all valid cases
for (uint32_t head = 0; head < 16; ++head) { // address for 2x2 block
if ((head & 0b11) == 0b11) {
continue;
}
all_cases[head].clear();
for (uint32_t range : basic_ranges) { // combine 2x2 address and range
if (check_case(head, range)) {
all_cases[head].emplace_back(binary_reverse(range)); // found valid case
}
}
}
}
//void AllCases::find_all_cases() { // find all valid cases
// for (uint32_t head = 0; head < 16; ++head) { // address for 2x2 block
// if ((head & 0b11) == 0b11) {
// continue;
// }
// all_cases[head].clear();
// for (uint32_t range : basic_ranges) { // combine 2x2 address and range
// if (check_case(head, range)) {
// all_cases[head].emplace_back(binary_reverse(range)); // found valid case
// }
// }
// }
//}

112
klotski/all_cases.cc
View File

@ -2,6 +2,31 @@
#include "common.h"
#include "all_cases.h"
AllCases::AllCases(enum InitType init) {
switch (init) {
case InitType::WITH_ALL_CASES:
get_all_cases();
case InitType::WITH_BASIC_RANGES:
get_basic_ranges();
case WITH_NOTHING:
break;
}
}
const std::vector<uint32_t>* AllCases::get_basic_ranges() {
if (basic_ranges.empty()) {
build_basic_ranges(); // basic ranges initialize
}
return &basic_ranges;
}
const std::vector<uint32_t> (*AllCases::get_all_cases())[16] {
if (all_cases->empty()) {
find_all_cases(); // all cases initialize
}
return &all_cases;
}
inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
bin -= (bin >> 1) & 0x55555555;
bin = (bin & 0x33333333) + ((bin >> 2) & 0x33333333);
@ -12,6 +37,37 @@ inline uint32_t binary_count(uint32_t bin) { // get number of non-zero bits
return bin & 0b111111;
}
void AllCases::find_all_cases() { // find all valid cases
get_basic_ranges(); // ensure basic ranges exist
for (uint32_t head = 0; head < 16; ++head) { // address of 2x2 block
if ((head & 0b11) == 0b11) {
continue; // invalid 2x2 address
}
for (uint32_t range : basic_ranges) { // check base on 2x2 address and range
if (Common::check_case(head, range)) {
all_cases[head].emplace_back(Common::range_reverse(range)); // found valid case
}
}
}
}
void AllCases::build_basic_ranges() { // build basic ranges
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
generate_ranges(n_space, n_1x2, n_2x1, n_1x1); // generate target ranges
}
}
}
std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
for (uint32_t &range : basic_ranges) {
range = Common::range_reverse(range); // range reverse
}
}
void AllCases::generate_ranges(int n1, int n2, int n3, int n4) { // generate target ranges
int len, limit;
constexpr uint32_t M_01 = 0b01 << 30;
@ -75,59 +131,3 @@ void AllCases::generate_ranges(int n1, int n2, int n3, int n4) { // generate tar
}
}
}
void AllCases::build_basic_ranges() { // build basic ranges
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
generate_ranges(n_space, n_1x2, n_2x1, n_1x1); // generate target ranges
}
}
}
std::sort(basic_ranges.begin(), basic_ranges.end()); // sort basic ranges
for (uint32_t &range : basic_ranges) {
range = Common::range_reverse(range); // range reverse
}
}
void AllCases::find_all_cases() { // find all valid cases
get_basic_ranges(); // ensure basic ranges exist
for (uint32_t head = 0; head < 16; ++head) { // address of 2x2 block
if ((head & 0b11) == 0b11) {
continue; // invalid 2x2 address
}
for (uint32_t range : basic_ranges) { // check base on 2x2 address and range
if (Common::check_case(head, range)) {
all_cases[head].emplace_back(Common::range_reverse(range)); // found valid case
}
}
}
}
AllCases::AllCases(enum InitType init) {
switch (init) {
case InitType::WITH_ALL_CASES:
get_all_cases();
case InitType::WITH_BASIC_RANGES:
get_basic_ranges();
case WITH_NOTHING:
break;
}
}
const std::vector<uint32_t>* AllCases::get_basic_ranges() {
if (basic_ranges.empty()) {
build_basic_ranges(); // basic ranges initialize
}
return &basic_ranges;
}
const std::vector<uint32_t> (*AllCases::get_all_cases())[16] {
if (all_cases->empty()) {
find_all_cases(); // all cases initialize
}
return &all_cases;
}

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