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sleepmicros() is misleading as the resolution can be very low on most operating systems. a quick test on linux yielded the results below. on windows it is even more coarse-grained always taking close to 1ms if the parameter is non-zero.
left is requested micros, right is actual
sleep 0 time: 1
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sleep 1 time: 98
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sleep 3 time: 71
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sleep 7 time: 65
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sleep 15 time: 72
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sleep 31 time: 88
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sleep 63 time: 120
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sleep 127 time: 187
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sleep 255 time: 314
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sleep 511 time: 596
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sleep 1023 time: 1131
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sleep 2047 time: 2140
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sleep 4095 time: 4188
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