1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318
|
// This has the programs for computing the number of 1-bits
// in a word, or byte, etc.
// Max line length is 57, to fit in hacker.book.
#include <cstdio>
#include <cstdlib> //To define "exit", req'd by XLC.
#include <ctime>
#include <glm/glm.hpp>
#ifdef NDEBUG
#if GLM_COMPILER & GLM_COMPILER_CLANG
# pragma clang diagnostic push
# pragma clang diagnostic ignored "-Wsign-conversion"
#endif
static unsigned rotatel(unsigned x, int n)
{
if (static_cast<unsigned>(n) > 63) { std::printf("rotatel, n out of range.\n"); std::exit(1);}
return (x << n) | (x >> (32 - n));
}
static int pop0(unsigned x)
{
x = (x & 0x55555555) + ((x >> 1) & 0x55555555);
x = (x & 0x33333333) + ((x >> 2) & 0x33333333);
x = (x & 0x0F0F0F0F) + ((x >> 4) & 0x0F0F0F0F);
x = (x & 0x00FF00FF) + ((x >> 8) & 0x00FF00FF);
x = (x & 0x0000FFFF) + ((x >>16) & 0x0000FFFF);
return x;
}
static int pop1(unsigned x)
{
x = x - ((x >> 1) & 0x55555555);
x = (x & 0x33333333) + ((x >> 2) & 0x33333333);
x = (x + (x >> 4)) & 0x0F0F0F0F;
x = x + (x >> 8);
x = x + (x >> 16);
return x & 0x0000003F;
}
/* Note: an alternative to the last three executable lines above is:
return x*0x01010101 >> 24;
if your machine has a fast multiplier (suggested by Jari Kirma). */
static int pop2(unsigned x)
{
unsigned n;
n = (x >> 1) & 033333333333; // Count bits in
x = x - n; // each 3-bit
n = (n >> 1) & 033333333333; // field.
x = x - n;
x = (x + (x >> 3)) & 030707070707; // 6-bit sums.
return x%63; // Add 6-bit sums.
}
/* An alternative to the "return" statement above is:
return ((x * 0404040404) >> 26) + // Add 6-bit sums.
(x >> 30);
which runs faster on most machines (suggested by Norbert Juffa). */
static int pop3(unsigned x)
{
unsigned n;
n = (x >> 1) & 0x77777777; // Count bits in
x = x - n; // each 4-bit
n = (n >> 1) & 0x77777777; // field.
x = x - n;
n = (n >> 1) & 0x77777777;
x = x - n;
x = (x + (x >> 4)) & 0x0F0F0F0F; // Get byte sums.
x = x*0x01010101; // Add the bytes.
return x >> 24;
}
static int pop4(unsigned x)
{
int n;
n = 0;
while (x != 0) {
n = n + 1;
x = x & (x - 1);
}
return n;
}
static int pop5(unsigned x)
{
int i, sum;
// Rotate and sum method // Shift right & subtract
sum = x; // sum = x;
for (i = 1; i <= 31; i++) { // while (x != 0) {
x = rotatel(x, 1); // x = x >> 1;
sum = sum + x; // sum = sum - x;
} // }
return -sum; // return sum;
}
static int pop5a(unsigned x)
{
int sum;
// Shift right & subtract
sum = x;
while (x != 0) {
x = x >> 1;
sum = sum - x;
}
return sum;
}
static int pop6(unsigned x)
{ // Table lookup.
static char table[256] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8};
return table[x & 0xFF] +
table[(x >> 8) & 0xFF] +
table[(x >> 16) & 0xFF] +
table[(x >> 24)];
}
// The following works only for 8-bit quantities.
static int pop7(unsigned x)
{
x = x*0x08040201; // Make 4 copies.
x = x >> 3; // So next step hits proper bits.
x = x & 0x11111111; // Every 4th bit.
x = x*0x11111111; // Sum the digits (each 0 or 1).
x = x >> 28; // Position the result.
return x;
}
// The following works only for 7-bit quantities.
static int pop8(unsigned x)
{
x = x*0x02040810; // Make 4 copies, left-adjusted.
x = x & 0x11111111; // Every 4th bit.
x = x*0x11111111; // Sum the digits (each 0 or 1).
x = x >> 28; // Position the result.
return x;
}
// The following works only for 15-bit quantities.
static int pop9(unsigned x)
{
unsigned long long y;
y = x * 0x0002000400080010ULL;
y = y & 0x1111111111111111ULL;
y = y * 0x1111111111111111ULL;
y = y >> 60;
return static_cast<int>(y);
}
int errors;
static void error(int x, int y)
{
errors = errors + 1;
std::printf("Error for x = %08x, got %08x\n", x, y);
}
#if defined(_MSC_VER)
# pragma warning(push)
# pragma warning(disable: 4389) // nonstandard extension used : nameless struct/union
#endif
int main()
{
int i, n;
static unsigned test[] = {0,0, 1,1, 2,1, 3,2, 4,1, 5,2, 6,2, 7,3,
8,1, 9,2, 10,2, 11,3, 12,2, 13,3, 14,3, 15,4, 16,1, 17,2,
0x3F,6, 0x40,1, 0x41,2, 0x7f,7, 0x80,1, 0x81,2, 0xfe,7, 0xff,8,
0x4000,1, 0x4001,2, 0x7000,3, 0x7fff,15,
0x55555555,16, 0xAAAAAAAA, 16, 0xFF000000,8, 0xC0C0C0C0,8,
0x0FFFFFF0,24, 0x80000000,1, 0xFFFFFFFF,32};
std::size_t const Count = 1000000;
n = sizeof(test)/4;
std::clock_t TimestampBeg = 0;
std::clock_t TimestampEnd = 0;
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop0(test[i]) != test[i+1]) error(test[i], pop0(test[i]));}
TimestampEnd = std::clock();
std::printf("pop0: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop1(test[i]) != test[i+1]) error(test[i], pop1(test[i]));}
TimestampEnd = std::clock();
std::printf("pop1: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop2(test[i]) != test[i+1]) error(test[i], pop2(test[i]));}
TimestampEnd = std::clock();
std::printf("pop2: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop3(test[i]) != test[i+1]) error(test[i], pop3(test[i]));}
TimestampEnd = std::clock();
std::printf("pop3: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop4(test[i]) != test[i+1]) error(test[i], pop4(test[i]));}
TimestampEnd = std::clock();
std::printf("pop4: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop5(test[i]) != test[i+1]) error(test[i], pop5(test[i]));}
TimestampEnd = std::clock();
std::printf("pop5: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop5a(test[i]) != test[i+1]) error(test[i], pop5a(test[i]));}
TimestampEnd = std::clock();
std::printf("pop5a: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if (pop6(test[i]) != test[i+1]) error(test[i], pop6(test[i]));}
TimestampEnd = std::clock();
std::printf("pop6: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if ((test[i] & 0xffffff00) == 0)
if (pop7(test[i]) != test[i+1]) error(test[i], pop7(test[i]));}
TimestampEnd = std::clock();
std::printf("pop7: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if ((test[i] & 0xffffff80) == 0)
if (pop8(test[i]) != test[i+1]) error(test[i], pop8(test[i]));}
TimestampEnd = std::clock();
std::printf("pop8: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
TimestampBeg = std::clock();
for (std::size_t k = 0; k < Count; ++k)
for (i = 0; i < n; i += 2) {
if ((test[i] & 0xffff8000) == 0)
if (pop9(test[i]) != test[i+1]) error(test[i], pop9(test[i]));}
TimestampEnd = std::clock();
std::printf("pop9: %d clocks\n", static_cast<int>(TimestampEnd - TimestampBeg));
if (errors == 0)
std::printf("Passed all %d cases.\n", static_cast<int>(sizeof(test)/8));
}
#if defined(_MSC_VER)
# pragma warning(pop)
#endif
#if GLM_COMPILER & GLM_COMPILER_CLANG
# pragma clang diagnostic pop
#endif
#else
int main()
{
return 0;
}
#endif//NDEBUG
|