SetNumDigits
Sets the number of digits formatting setting of a numeric entity.
Syntax
-
SetNumDigits(x, n)-
xis a number, a vector, or a matrix -
nis an integer
-
Description
SetNumDigits(x, n) returns x with its number of digits formatting setting set to n. n < 0 means that the default setting should be used.
If the “fixed” number format is used – which uses a fixed number of digits after the decimal separator – then the number of digits setting refers to this number of fractional digits. Otherwise, it refers to the number of significant digits.
For numbers, the \ operator can be used instead of the SetNumDigits function.
Notes
SetNumDigits should not be confused with SetMinLength, which can be used to pad integer values to a desired length by means of leading zeros.
Examples
π \ 5
3.1416 (=π)
π \ 18
3.14159265358979324 (=π)
1/69 \ 100
0.0144927536231884057971014492753623188405797101449275362318840579710144927536231 8840579710144927536232 (=1/69)
SetNumDigits(SetNumberFormat(RandomMatrix(10, 5), "fixed"), 3)
⎛0.185 0.438 0.640 0.697 0.400⎞ ⎜0.143 0.864 0.132 0.192 0.379⎟ ⎜0.369 0.037 0.429 0.133 0.097⎟ ⎜0.926 0.443 0.640 0.781 0.022⎟ ⎜0.876 0.508 0.266 0.293 0.066⎟ ⎜0.626 0.720 0.957 0.733 0.517⎟ ⎜0.097 0.235 0.940 0.066 0.465⎟ ⎜0.401 0.555 0.793 0.043 0.445⎟ ⎜0.714 0.085 0.078 0.868 0.006⎟ ⎝0.077 0.904 0.425 0.376 0.080⎠
x ≔ 1/123456789; r, c ≔ 10, 80;
join(flatten(group(characters(AsSingleLine(SetNumberFormat(x, "fixed") \ c⋅r−2)), c) @ (x ↦ x ~ '(chr(13), chr(10)))), "") \ 100000
0.000000008100000073710000670761006103925155545718915466042130740983389742948846 66083450461359399198370532705171847617063813315280701169054380638394863809393260 66547867205585591570828883294542837980339825621092413151940959682662733112230871 32130092902383845411692993246406238542296770734900613687595584557119819469790357 17509225029333947766938924679144214580212352679932409387384925425202821369345674 46104563759551530211918924928462216849006173325956177266201213122431039414122458 66851437388348080233967530129104524174851169991145646919425386966771021397616294 71830828193660536562310882717029032724964197797174199954285219583995498214359033 75066720713107158489275142252403794496874529921558222286179822804236387518551126 41881525041121877874209088655302706763254631545617147065116038292555948462259131