cosmopolitan/libc/bits/morton.c

39 lines
2.4 KiB
C

/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi│
╞══════════════════════════════════════════════════════════════════════════════╡
│ Copyright 2020 Justine Alexandra Roberts Tunney │
│ │
│ Permission to use, copy, modify, and/or distribute this software for │
│ any purpose with or without fee is hereby granted, provided that the │
│ above copyright notice and this permission notice appear in all copies. │
│ │
│ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL │
│ WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED │
│ WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE │
│ AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL │
│ DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR │
│ PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER │
│ TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR │
│ PERFORMANCE OF THIS SOFTWARE. │
╚─────────────────────────────────────────────────────────────────────────────*/
#include "libc/bits/morton.h"
/**
* Interleaves bits.
* @see https://en.wikipedia.org/wiki/Z-order_curve
* @see unmorton()
*/
unsigned long(morton)(unsigned long y, unsigned long x) {
x = (x | x << 020) & 0x0000FFFF0000FFFF;
x = (x | x << 010) & 0x00FF00FF00FF00FF;
x = (x | x << 004) & 0x0F0F0F0F0F0F0F0F;
x = (x | x << 002) & 0x3333333333333333;
x = (x | x << 001) & 0x5555555555555555;
y = (y | y << 020) & 0x0000FFFF0000FFFF;
y = (y | y << 010) & 0x00FF00FF00FF00FF;
y = (y | y << 004) & 0x0F0F0F0F0F0F0F0F;
y = (y | y << 002) & 0x3333333333333333;
y = (y | y << 001) & 0x5555555555555555;
return x | y << 1;
}