The first function encodes [x, y] as 64bit wide Morton code where x and y are 32bit wide integers using Interleave bits by Binary Magic Numbers.
What would be the reverse function?
void xy2d_morton_64bits(uint64_t x, uint64_t y, uint64_t *d)
{
x = (x | (x << 16)) & 0x0000FFFF0000FFFF;
x = (x | (x << 8)) & 0x00FF00FF00FF00FF;
x = (x | (x << 4)) & 0x0F0F0F0F0F0F0F0F;
x = (x | (x << 2)) & 0x3333333333333333;
x = (x | (x << 1)) & 0x5555555555555555;
y = (y | (y << 16)) & 0x0000FFFF0000FFFF;
y = (y | (y << 8)) & 0x00FF00FF00FF00FF;
y = (y | (y << 4)) & 0x0F0F0F0F0F0F0F0F;
y = (y | (y << 2)) & 0x3333333333333333;
y = (y | (y << 1)) & 0x5555555555555555;
*d = x | (y << 1);
}
void d2xy_morton_64bits(uint64_t d, uint64_t *x, uint64_t *y)
{
// ????
}
void xy2d_morton(uint64_t x, uint64_t y, uint64_t *d)
{
x = (x | (x << 16)) & 0x0000FFFF0000FFFF;
x = (x | (x << 8)) & 0x00FF00FF00FF00FF;
x = (x | (x << 4)) & 0x0F0F0F0F0F0F0F0F;
x = (x | (x << 2)) & 0x3333333333333333;
x = (x | (x << 1)) & 0x5555555555555555;
y = (y | (y << 16)) & 0x0000FFFF0000FFFF;
y = (y | (y << 8)) & 0x00FF00FF00FF00FF;
y = (y | (y << 4)) & 0x0F0F0F0F0F0F0F0F;
y = (y | (y << 2)) & 0x3333333333333333;
y = (y | (y << 1)) & 0x5555555555555555;
*d = x | (y << 1);
}
// morton_1 - extract even bits
uint64_t morton_1(uint64_t x)
{
x = x & 0x5555555555555555;
x = (x | (x >> 1)) & 0x3333333333333333;
x = (x | (x >> 2)) & 0x0F0F0F0F0F0F0F0F;
x = (x | (x >> 4)) & 0x00FF00FF00FF00FF;
x = (x | (x >> 8)) & 0x0000FFFF0000FFFF;
x = (x | (x >> 16)) & 0xFFFFFFFFFFFFFFFF;
return x;
}
void d2xy_morton(uint64_t d, uint64_t *x, uint64_t *y)
{
*x = morton_1(d);
*y = morton_1(d >> 1);
}
来源:https://stackoverflow.com/questions/30560214/2d-morton-decode-function-64bits