Logo Questions Linux Laravel Mysql Ubuntu Git Menu
 

2D Morton decode function 64bits

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)
{
    // ????
}
like image 818
Dawid Szymański Avatar asked Aug 08 '26 15:08

Dawid Szymański


1 Answers

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);
}
like image 200
Dawid Szymański Avatar answered Aug 11 '26 04:08

Dawid Szymański



Donate For Us

If you love us? You can donate to us via Paypal or buy me a coffee so we can maintain and grow! Thank you!