Template:Distance effects table
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Exponent | Actual distance (blocks) | float precision | double precision | float precision (full) | double precision (full) | Limits | Notes |
---|---|---|---|---|---|---|---|
-12 | 0.000244140625 | 2.910383×10-11 (2-35) | 5.4210109×10-20 (2-64) | 0.00000000002910383045673370361328125 | 0.0000000000000000000542101086242752217003726400434970855712890625 | ||
-11 | 0.00048828125 | 5.8207661×10-11 (2-34) | 1.0842022×10-19 (2-63) | 0.0000000000582076609134674072265625 | 0.000000000000000000108420217248550443400745280086994171142578125 | ||
-10 | 0.0009765625 | 1.1641532×10-10 (2-33) | 2.1684043×10-19 (2-62) | 0.000000000116415321826934814453125 | 0.00000000000000000021684043449710088680149056017398834228515625 | ||
-9 | 0.001953125 | 2.3283064×10-10 (2-32) | 4.3368087×10-19 (2-61) | 0.00000000023283064365386962890625 | 0.0000000000000000004336808689942017736029811203479766845703125 | ||
-8 | 0.00390625 | 4.6566129×10-10 (2-31) | 8.6736174×10-19 (2-60) | 0.0000000004656612873077392578125 | 0.000000000000000000867361737988403547205962240695953369140625 | ||
-7 | 0.0078125 | 9.3132257×10-10 (2-30) | 1.7347235×10-18 (2-59) | 0.000000000931322574615478515625 | 0.00000000000000000173472347597680709441192448139190673828125 | ||
-6 | 0.015625 | 1.86264515×10-9 (2-29) | 3.469447×10-18 (2-58) | 0.00000000186264514923095703125 | 0.0000000000000000034694469519536141888238489627838134765625 | ||
-5 | 0.03125 | 3.7252903×10-9 (2-28) | 6.9388939×10-18 (2-57) | 0.0000000037252902984619140625 | 0.000000000000000006938893903907228377647697925567626953125 | ||
-4 | 0.0625 | 7.4505806×10-9 (2-27) | 1.3877788×10-17 (2-56) | 0.000000007450580596923828125 | 0.00000000000000001387778780781445675529539585113525390625 | ||
-3 | 0.125 | 1.49011612×10-8 (2-26) | 2.7755576e×10-17 (2-55) | 0.00000001490116119384765625 | 0.0000000000000000277555756156289135105907917022705078125 | ||
-2 | 0.25 | 2.98023224×10-8 (2-25) | 5.5511151×10-17 (2-54) | 0.0000000298023223876953125 | 0.000000000000000055511151231257827021181583404541015625 | ||
-1 | 0.5 | 5.96046448×10-8 (2-24) | 1.110223×10-16 (2-53) | 0.000000059604644775390625 | 0.00000000000000011102230246251565404236316680908203125 | ||
0 | 1 | 1.1920929×10-7 (2-23) | 2.220446×10-16 (2-52) | 0.00000011920928955078125 | 0.0000000000000002220446049250313080847263336181640625 | ||
1 | 2 | 2.38418579×10-7 (2-22) | 4.4408921×10-16 (2-51) | 0.0000002384185791015625 | 0.000000000000000444089209850062616169452667236328125 | ||
2 | 4 | 4.76837158×10-7 (2-21) | 8.8817842×10-16 (2-50) | 0.000000476837158203125 | 0.00000000000000088817841970012523233890533447265625 | ||
3 | 8 | 9.53674316×10-7 (2-20) | 1.7763568×10-15 (2-49) | 0.00000095367431640625 | 0.0000000000000017763568394002504646778106689453125 | ||
4 | 16 | 1.9073486×10-6 (2-19) | 3.5527137×10-15 (2-48) | 0.0000019073486328125 | 0.000000000000003552713678800500929355621337890625 | ||
5 | 32 | 3.8146973×10-6 (2-18) | 7.1054274×10-15 (2-47) | 0.000003814697265625 | 0.00000000000000710542735760100185871124267578125 | ||
6 | 64 | 7.6293945×10-6 (2-17) | 1.4210855×10-14 (2-46) | 0.00000762939453125 | 0.0000000000000142108547152020037174224853515625 | ||
7 | 128 | 1.5258789×10-5 (2-16) | 2.8421709×10-14 (2-45) | 0.0000152587890625 | 0.000000000000028421709430404007434844970703125 | ||
8 | 256 | 3.0517578×10-5 (2-15) | 5.6843419×10-14 (2-44) | 0.000030517578125 | 0.00000000000005684341886080801486968994140625 | ||
9 | 512 | 6.1035156×10-5 (2-14) | 1.1368684×10-13 (2-43) | 0.00006103515625 | 0.0000000000001136868377216160297393798828125 | ||
10 | 1024 | 1.2207031×10-4 (2-13) | 2.2737368×10-13 (2-42) | 0.0001220703125 | 0.000000000000227373675443232059478759765625 | ||
11 | 2048 | 2.4414063×10-4 (2-12) | 4.5474735×10-13 (2-41) | 0.000244140625 | 0.00000000000045474735088646411895751953125 | ||
12 | 4096 | 4.8828125×10-4 (2-11) | 9.094947×10-13 (2-40) | 0.00048828125 | 0.0000000000009094947017729282379150390625 | ||
13 | 8192 | 9.675625×10-4 (2-10) | 1.8189894×10-12 (2-39) | 0.0009765625 | 0.000000000001818989403545856475830078125 | ||
14 | 16384 | 0.001953125 (2-9) | 3.6379788×10-12 (2-38) | 0.001953125 | 0.00000000000363797880709171295166015625 | ||
15 | 32768 | 0.00390625 (2-8) | 7.2759576×10-12 (2-37) | 0.00390625 | 0.0000000000072759576141834259033203125 | ||
16 | 65536 | 0.0078125 (2-7) | 1.4551915×10-11 (2-36) | 0.0078125 | 0.000000000014551915228366851806640625 | ||
17 | 131072 | 0.015625 (2-6) | 2.910383×10-11 (2-35) | 0.015625 | 0.00000000002910383045673370361328125 | ||
18 | 262144 | 0.03125 (2-5) | 5.8207661×10-11 (2-34) | 0.03125 | 0.0000000000582076609134674072265625 | ||
19 | 524288 | 0.0625 (2-4) | 1.1641532×10-10 (2-33) | 0.0625 | 0.000000000116415321826934814453125 | ||
20 | 1048576 | 0.125 (2-3) | 2.3283064×10-10 (2-32) | 0.125 | 0.00000000023283064365386962890625 | ||
21 | 2097152 | 0.25 (2-2) | 4.6566129×10-10 (2-31) | 0.25 | 0.0000000004656612873077392578125 | ||
22 | 4194304 | 0.5 (2-1) | 9.3132257×10-10 (2-30) | 0.5 | 0.000000000931322574615478515625 | ||
23 | 8388608 | 1 (20) | 1.86264515×10-9 (2-29) | 1 | 0.00000000186264514923095703125 | ||
24 | 16777216 | 2 (21) | 3.7252903×10-9 (2-28) | 2 | 0.0000000037252902984619140625 | ||
25 | 33554432 | 4 (22) | 7.4505806×10-9 (2-27) | 4 | 0.000000007450580596923828125 | ||
26 | 67108864 | 8 (23) | 1.49011612×10-8 (2-26) | 8 | 0.00000001490116119384765625 | ||
27 | 134217728 | 16 (24) | 2.98023224×10-8 (2-25) | 16 | 0.0000000298023223876953125 | ||
28 | 268435456 | 32 (25) | 5.96046448×10-8 (2-24) | 32 | 0.000000059604644775390625 | ||
29 | 536870912 | 64 (26) | 1.1920929×10-7 (2-23) | 64 | 0.00000011920928955078125 | ||
30 | 1073741824 | 128 (27) | 2.38418579×10-7 (2-22) | 128 | 0.0000002384185791015625 | ||
31 | 2147483648 | 256 (28) | 4.76837158×10-7 (2-21) | 256 | 0.000000476837158203125 | ||
32 | 4294967296 | 512 (29) | 9.53674316×10-7 (2-20) | 512 | 0.00000095367431640625 | ||
33 | 8589934592 | 1024 (210) | 1.9073486×10-6 (2-19) | 1024 | 0.0000019073486328125 | ||
34 | 17179869184 | 2048 (211) | 3.8146973×10-6 (2-18) | 2048 | 0.000003814697265625 | ||
35 | 34359738368 | 4096 (212) | 7.6293945×10-6 (2-17) | 4096 | 0.00000762939453125 | ||
36 | 68719476736 | 8192 (213) | 1.5258789×10-5 (2-16) | 8192 | 0.0000152587890625 | ||
37 | 137438953472 | 16384 (214) | 3.0517578×10-5 (2-15) | 16384 | 0.000030517578125 | ||
38 | 274877906944 | 32768 (215) | 6.1035156×10-5 (2-14) | 32768 | 0.00006103515625 | ||
39 | 549755813888 | 65536 (216) | 1.2207031×10-4 (2-13) | 65536 | 0.0001220703125 | ||
40 | 1099511627776 | 131072 (217) | 2.4414063×10-4 (2-12) | 131072 | 0.000244140625 | ||
41 | 2199023255552 | 262144 (218) | 4.8828125×10-4 (2-11) | 262144 | 0.00048828125 | ||
42 | 4398046511104 | 524288 (219) | 9.675625×10-4 (2-10) | 524288 | 0.0009765625 | ||
43 | 8796093022208 | 1048576 (220) | 0.001953125 (2-9) | 1048576 | 0.001953125 | ||
44 | 17592186044416 | 2097152 (221) | 0.00390625 (2-8) | 2097152 | 0.00390625 | ||
45 | 35184372088832 | 4194304 (222) | 0.0078125 (2-7) | 4194304 | 0.0078125 | ||
46 | 70368744177664 | 8388608 (223) | 0.015625 (2-6) | 8388608 | 0.015625 | ||
47 | 140737488355328 | 16777216 (224) | 0.03125 (2-5) | 16777216 | 0.03125 | ||
48 | 281474976710656 | 33554432 (225) | 0.0625 (2-4) | 33554432 | 0.0625 | ||
49 | 562949953421312 | 67108864 (226) | 0.125 (2-3) | 67108864 | 0.125 | ||
50 | 1125899906842624 | 134217728 (227) | 0.25 (2-2) | 134217728 | 0.25 | ||
51 | 2251799813685248 | 268435456 (228) | 0.5 (2-1) | 268435456 | 0.5 | ||
52 | 4503599627370496 | 536870912 (229) | 1 (20) | 536870912 | 1 | ||
53 | 9007199254740992 | 1073741824 (230) | 2 (21) | 1073741824 | 2 | ||
54 | 18014398509481984 | 2147483648 (231) | 4 (22) | 2147483648 | 4 | ||
55 | 36028797018963968 | 4294967296 (232) | 8 (23) | 4294967296 | 8 | ||
56 | 72057594037927936 | 8589934592 (233) | 16 (24) | 8589934592 | 16 | ||
57 | 144115188075855872 | 17179869184 (234) | 32 (25) | 17179869184 | 32 | ||
58 | 288230376151711744 | 34359738368 (235) | 64 (26) | 34359738368 | 64 | ||
59 | 576460752303423488 | 68719476736 (236) | 128 (27) | 68719476736 | 128 | ||
60 | 1152921504606846976 | 137438953472 (237) | 256 (28) | 137438953472 | 256 | ||
61 | 2305843009213693952 | 274877906944 (238) | 512 (29) | 274877906944 | 512 | ||
62 | 4611686018427387904 | 549755813888 (239) | 1024 (210) | 549755813888 | 1024 | ||
63 | 9223372036854775808 | 1099511627776 (240) | 2048 (211) | 1099511627776 | 2048 |