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Hello Tom!I think is too much for roundoff errorFound funny post about it:https://randomascii.wordpress.com/2014/10/09/intel-underestimates-error-bounds-by-1-3-quintillion/http://notabs.org/fpuaccuracy/index.htmOn 25 Apr 2019, at 19:56, Tom Lane <tgl@sss.pgh.pa.us> wrote:Max Lipsky <maxlipsky@gmail.com> writes:SELECT acos( cos(radians(48.9193)) * cos(radians(48.9193)) * cos(radians(2.5431) - radians(2.5431)) + sin(radians(48.9193)) * sin(radians(48.9193)) ) as result;This returned [22003] ERROR: input is out of rangeNot too surprising, because (at least on my machine)regression=# select cos(radians(48.9193))regression-# * cos(radians(48.9193)) + sin(radians(48.9193))regression-# * sin(radians(48.9193)); ?column? -------------------- 1.0000000000000002(1 row)Problems of this sort are inevitable when working with finite-precisionmath.https://en.wikipedia.org/wiki/Round-off_error regards, tom lane
On 25 Apr 2019, at 19:56, Tom Lane <tgl@sss.pgh.pa.us> wrote:Max Lipsky <maxlipsky@gmail.com> writes:SELECT acos( cos(radians(48.9193)) * cos(radians(48.9193)) * cos(radians(2.5431) - radians(2.5431)) + sin(radians(48.9193)) * sin(radians(48.9193)) ) as result;This returned [22003] ERROR: input is out of rangeNot too surprising, because (at least on my machine)regression=# select cos(radians(48.9193))regression-# * cos(radians(48.9193)) + sin(radians(48.9193))regression-# * sin(radians(48.9193)); ?column? -------------------- 1.0000000000000002(1 row)Problems of this sort are inevitable when working with finite-precisionmath.https://en.wikipedia.org/wiki/Round-off_error regards, tom lane
SELECT acos( cos(radians(48.9193)) * cos(radians(48.9193)) * cos(radians(2.5431) - radians(2.5431)) + sin(radians(48.9193)) * sin(radians(48.9193)) ) as result;
This returned [22003] ERROR: input is out of range
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