diff options
Diffstat (limited to 'thirdparty/thekla_atlas/nvmath/Morton.h')
-rw-r--r-- | thirdparty/thekla_atlas/nvmath/Morton.h | 83 |
1 files changed, 83 insertions, 0 deletions
diff --git a/thirdparty/thekla_atlas/nvmath/Morton.h b/thirdparty/thekla_atlas/nvmath/Morton.h new file mode 100644 index 0000000000..10e0d8152a --- /dev/null +++ b/thirdparty/thekla_atlas/nvmath/Morton.h @@ -0,0 +1,83 @@ + +// Code from ryg: +// http://fgiesen.wordpress.com/2009/12/13/decoding-morton-codes/ + + +// "Insert" a 0 bit after each of the 16 low bits of x +inline uint32 part1By1(uint32 x) +{ + x &= 0x0000ffff; // x = ---- ---- ---- ---- fedc ba98 7654 3210 + x = (x ^ (x << 8)) & 0x00ff00ff; // x = ---- ---- fedc ba98 ---- ---- 7654 3210 + x = (x ^ (x << 4)) & 0x0f0f0f0f; // x = ---- fedc ---- ba98 ---- 7654 ---- 3210 + x = (x ^ (x << 2)) & 0x33333333; // x = --fe --dc --ba --98 --76 --54 --32 --10 + x = (x ^ (x << 1)) & 0x55555555; // x = -f-e -d-c -b-a -9-8 -7-6 -5-4 -3-2 -1-0 + return x; +} + +// "Insert" two 0 bits after each of the 10 low bits of x +inline uint32 part1By2(uint32 x) +{ + x &= 0x000003ff; // x = ---- ---- ---- ---- ---- --98 7654 3210 + x = (x ^ (x << 16)) & 0xff0000ff; // x = ---- --98 ---- ---- ---- ---- 7654 3210 + x = (x ^ (x << 8)) & 0x0300f00f; // x = ---- --98 ---- ---- 7654 ---- ---- 3210 + x = (x ^ (x << 4)) & 0x030c30c3; // x = ---- --98 ---- 76-- --54 ---- 32-- --10 + x = (x ^ (x << 2)) & 0x09249249; // x = ---- 9--8 --7- -6-- 5--4 --3- -2-- 1--0 + return x; +} + +inline uint32 encodeMorton2(uint32 x, uint32 y) +{ + return (part1By1(y) << 1) + part1By1(x); +} + +inline uint32 encodeMorton3(uint32 x, uint32 y, uint32 z) +{ + return (part1By2(z) << 2) + (part1By2(y) << 1) + part1By2(x); +} + +// Inverse of part1By1 - "delete" all odd-indexed bits +inline uint32 compact1By1(uint32 x) +{ + x &= 0x55555555; // x = -f-e -d-c -b-a -9-8 -7-6 -5-4 -3-2 -1-0 + x = (x ^ (x >> 1)) & 0x33333333; // x = --fe --dc --ba --98 --76 --54 --32 --10 + x = (x ^ (x >> 2)) & 0x0f0f0f0f; // x = ---- fedc ---- ba98 ---- 7654 ---- 3210 + x = (x ^ (x >> 4)) & 0x00ff00ff; // x = ---- ---- fedc ba98 ---- ---- 7654 3210 + x = (x ^ (x >> 8)) & 0x0000ffff; // x = ---- ---- ---- ---- fedc ba98 7654 3210 + return x; +} + +// Inverse of part1By2 - "delete" all bits not at positions divisible by 3 +inline uint32 compact1By2(uint32 x) +{ + x &= 0x09249249; // x = ---- 9--8 --7- -6-- 5--4 --3- -2-- 1--0 + x = (x ^ (x >> 2)) & 0x030c30c3; // x = ---- --98 ---- 76-- --54 ---- 32-- --10 + x = (x ^ (x >> 4)) & 0x0300f00f; // x = ---- --98 ---- ---- 7654 ---- ---- 3210 + x = (x ^ (x >> 8)) & 0xff0000ff; // x = ---- --98 ---- ---- ---- ---- 7654 3210 + x = (x ^ (x >> 16)) & 0x000003ff; // x = ---- ---- ---- ---- ---- --98 7654 3210 + return x; +} + +inline uint32 decodeMorton2X(uint32 code) +{ + return compact1By1(code >> 0); +} + +inline uint32 decodeMorton2Y(uint32 code) +{ + return compact1By1(code >> 1); +} + +inline uint32 decodeMorton3X(uint32 code) +{ + return compact1By2(code >> 0); +} + +inline uint32 decodeMorton3Y(uint32 code) +{ + return compact1By2(code >> 1); +} + +inline uint32 decodeMorton3Z(uint32 code) +{ + return compact1By2(code >> 2); +}
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