R Under development (unstable) (2025-02-12 r87715 ucrt) -- "Unsuffered Consequences"
Copyright (C) 2025 The R Foundation for Statistical Computing
Platform: x86_64-w64-mingw32/x64

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(flint)
> options(flint.Rdiff = TRUE)
> 
> p. <- c(0L, as.integer(cumprod(rep(c(1, 2), c(1L, 30L)))))
> p <- .ulong(x = p.)
> 
> vv <- withVisible(print(p))
class "ulong", length 32, address <pointer: 00000237CB7E8D40>
 [1]          0          1          2          4          8         16
 [7]         32         64        128        256        512       1024
[13]       2048       4096       8192      16384      32768      65536
[19]     131072     262144     524288    1048576    2097152    4194304
[25]    8388608   16777216   33554432   67108864  134217728  268435456
[31]  536870912 1073741824
> stopifnot(identical(vv$value,    p), identical(vv$visible, FALSE))
> vv <- withVisible( show(p))
class "ulong", length 32, address <pointer: 00000237CB7E8D40>
 [1]          0          1          2          4          8         16
 [7]         32         64        128        256        512       1024
[13]       2048       4096       8192      16384      32768      65536
[19]     131072     262144     524288    1048576    2097152    4194304
[25]    8388608   16777216   33554432   67108864  134217728  268435456
[31]  536870912 1073741824
> stopifnot(identical(vv$value, NULL), identical(vv$visible, FALSE))
> 
> x. <- c(-rev(p.), p.)
> for (.cl in c("slong", "fmpz", "fmpq", "mag", "arf", "acf",
+               "arb", "acb"))
+     print(new(.cl, x = x.))
class "slong", length 64, address <pointer: 00000237CC3F3240>
 [1] -1073741824  -536870912  -268435456  -134217728   -67108864   -33554432
 [7]   -16777216    -8388608    -4194304    -2097152    -1048576     -524288
[13]     -262144     -131072      -65536      -32768      -16384       -8192
[19]       -4096       -2048       -1024        -512        -256        -128
[25]         -64         -32         -16          -8          -4          -2
[31]          -1           0           0           1           2           4
[37]           8          16          32          64         128         256
[43]         512        1024        2048        4096        8192       16384
[49]       32768       65536      131072      262144      524288     1048576
[55]     2097152     4194304     8388608    16777216    33554432    67108864
[61]   134217728   268435456   536870912  1073741824
class "fmpz", length 64, address <pointer: 00000237CC3F3C40>
 [1] -1073741824  -536870912  -268435456  -134217728   -67108864   -33554432
 [7]   -16777216    -8388608    -4194304    -2097152    -1048576     -524288
[13]     -262144     -131072      -65536      -32768      -16384       -8192
[19]       -4096       -2048       -1024        -512        -256        -128
[25]         -64         -32         -16          -8          -4          -2
[31]          -1           0           0           1           2           4
[37]           8          16          32          64         128         256
[43]         512        1024        2048        4096        8192       16384
[49]       32768       65536      131072      262144      524288     1048576
[55]     2097152     4194304     8388608    16777216    33554432    67108864
[61]   134217728   268435456   536870912  1073741824
class "fmpq", length 64, address <pointer: 00000237CBDC6C40>
 [1] -1073741824/1  -536870912/1  -268435456/1  -134217728/1   -67108864/1
 [6]   -33554432/1   -16777216/1    -8388608/1    -4194304/1    -2097152/1
[11]    -1048576/1     -524288/1     -262144/1     -131072/1      -65536/1
[16]      -32768/1      -16384/1       -8192/1       -4096/1       -2048/1
[21]       -1024/1        -512/1        -256/1        -128/1         -64/1
[26]         -32/1         -16/1          -8/1          -4/1          -2/1
[31]          -1/1           0/1           0/1           1/1           2/1
[36]           4/1           8/1          16/1          32/1          64/1
[41]         128/1         256/1         512/1        1024/1        2048/1
[46]        4096/1        8192/1       16384/1       32768/1       65536/1
[51]      131072/1      262144/1      524288/1     1048576/1     2097152/1
[56]     4194304/1     8388608/1    16777216/1    33554432/1    67108864/1
[61]   134217728/1   268435456/1   536870912/1  1073741824/1
class "mag", length 64, address <pointer: 00000237CBDC7040>
 [1] 1.073742e+9 5.368710e+8 2.684355e+8 1.342178e+8 6.710887e+7 3.355444e+7
 [7] 1.677722e+7 8.388608e+6 4.194304e+6 2.097152e+6 1.048576e+6 5.242880e+5
[13] 2.621440e+5 1.310720e+5 6.553600e+4 3.276800e+4 1.638400e+4 8.192000e+3
[19] 4.096000e+3 2.048000e+3 1.024000e+3 5.120000e+2 2.560000e+2 1.280000e+2
[25] 6.400000e+1 3.200000e+1 1.600000e+1 8.000000e+0 4.000000e+0 2.000000e+0
[31] 1.000000e+0 0.000000e+0 0.000000e+0 1.000000e+0 2.000000e+0 4.000000e+0
[37] 8.000000e+0 1.600000e+1 3.200000e+1 6.400000e+1 1.280000e+2 2.560000e+2
[43] 5.120000e+2 1.024000e+3 2.048000e+3 4.096000e+3 8.192000e+3 1.638400e+4
[49] 3.276800e+4 6.553600e+4 1.310720e+5 2.621440e+5 5.242880e+5 1.048576e+6
[55] 2.097152e+6 4.194304e+6 8.388608e+6 1.677722e+7 3.355444e+7 6.710887e+7
[61] 1.342178e+8 2.684355e+8 5.368710e+8 1.073742e+9
class "arf", length 64, address <pointer: 00000237CC5CF840>
 [1] -1.073742e+9 -5.368709e+8 -2.684355e+8 -1.342177e+8 -6.710886e+7
 [6] -3.355443e+7 -1.677722e+7 -8.388608e+6 -4.194304e+6 -2.097152e+6
[11] -1.048576e+6 -5.242880e+5 -2.621440e+5 -1.310720e+5 -6.553600e+4
[16] -3.276800e+4 -1.638400e+4 -8.192000e+3 -4.096000e+3 -2.048000e+3
[21] -1.024000e+3 -5.120000e+2 -2.560000e+2 -1.280000e+2 -6.400000e+1
[26] -3.200000e+1 -1.600000e+1 -8.000000e+0 -4.000000e+0 -2.000000e+0
[31] -1.000000e+0  0.000000e+0  0.000000e+0  1.000000e+0  2.000000e+0
[36]  4.000000e+0  8.000000e+0  1.600000e+1  3.200000e+1  6.400000e+1
[41]  1.280000e+2  2.560000e+2  5.120000e+2  1.024000e+3  2.048000e+3
[46]  4.096000e+3  8.192000e+3  1.638400e+4  3.276800e+4  6.553600e+4
[51]  1.310720e+5  2.621440e+5  5.242880e+5  1.048576e+6  2.097152e+6
[56]  4.194304e+6  8.388608e+6  1.677722e+7  3.355443e+7  6.710886e+7
[61]  1.342177e+8  2.684355e+8  5.368709e+8  1.073742e+9
class "acf", length 64, address <pointer: 00000237CB590040>
 [1] -1.073742e+9+0.000000e+0i -5.368709e+8+0.000000e+0i
 [3] -2.684355e+8+0.000000e+0i -1.342177e+8+0.000000e+0i
 [5] -6.710886e+7+0.000000e+0i -3.355443e+7+0.000000e+0i
 [7] -1.677722e+7+0.000000e+0i -8.388608e+6+0.000000e+0i
 [9] -4.194304e+6+0.000000e+0i -2.097152e+6+0.000000e+0i
[11] -1.048576e+6+0.000000e+0i -5.242880e+5+0.000000e+0i
[13] -2.621440e+5+0.000000e+0i -1.310720e+5+0.000000e+0i
[15] -6.553600e+4+0.000000e+0i -3.276800e+4+0.000000e+0i
[17] -1.638400e+4+0.000000e+0i -8.192000e+3+0.000000e+0i
[19] -4.096000e+3+0.000000e+0i -2.048000e+3+0.000000e+0i
[21] -1.024000e+3+0.000000e+0i -5.120000e+2+0.000000e+0i
[23] -2.560000e+2+0.000000e+0i -1.280000e+2+0.000000e+0i
[25] -6.400000e+1+0.000000e+0i -3.200000e+1+0.000000e+0i
[27] -1.600000e+1+0.000000e+0i -8.000000e+0+0.000000e+0i
[29] -4.000000e+0+0.000000e+0i -2.000000e+0+0.000000e+0i
[31] -1.000000e+0+0.000000e+0i  0.000000e+0+0.000000e+0i
[33]  0.000000e+0+0.000000e+0i  1.000000e+0+0.000000e+0i
[35]  2.000000e+0+0.000000e+0i  4.000000e+0+0.000000e+0i
[37]  8.000000e+0+0.000000e+0i  1.600000e+1+0.000000e+0i
[39]  3.200000e+1+0.000000e+0i  6.400000e+1+0.000000e+0i
[41]  1.280000e+2+0.000000e+0i  2.560000e+2+0.000000e+0i
[43]  5.120000e+2+0.000000e+0i  1.024000e+3+0.000000e+0i
[45]  2.048000e+3+0.000000e+0i  4.096000e+3+0.000000e+0i
[47]  8.192000e+3+0.000000e+0i  1.638400e+4+0.000000e+0i
[49]  3.276800e+4+0.000000e+0i  6.553600e+4+0.000000e+0i
[51]  1.310720e+5+0.000000e+0i  2.621440e+5+0.000000e+0i
[53]  5.242880e+5+0.000000e+0i  1.048576e+6+0.000000e+0i
[55]  2.097152e+6+0.000000e+0i  4.194304e+6+0.000000e+0i
[57]  8.388608e+6+0.000000e+0i  1.677722e+7+0.000000e+0i
[59]  3.355443e+7+0.000000e+0i  6.710886e+7+0.000000e+0i
[61]  1.342177e+8+0.000000e+0i  2.684355e+8+0.000000e+0i
[63]  5.368709e+8+0.000000e+0i  1.073742e+9+0.000000e+0i
class "arb", length 64, address <pointer: 00000237CB385850>
 [1] (-1.073742e+9 +/- 0.000000e+0) (-5.368709e+8 +/- 0.000000e+0)
 [3] (-2.684355e+8 +/- 0.000000e+0) (-1.342177e+8 +/- 0.000000e+0)
 [5] (-6.710886e+7 +/- 0.000000e+0) (-3.355443e+7 +/- 0.000000e+0)
 [7] (-1.677722e+7 +/- 0.000000e+0) (-8.388608e+6 +/- 0.000000e+0)
 [9] (-4.194304e+6 +/- 0.000000e+0) (-2.097152e+6 +/- 0.000000e+0)
[11] (-1.048576e+6 +/- 0.000000e+0) (-5.242880e+5 +/- 0.000000e+0)
[13] (-2.621440e+5 +/- 0.000000e+0) (-1.310720e+5 +/- 0.000000e+0)
[15] (-6.553600e+4 +/- 0.000000e+0) (-3.276800e+4 +/- 0.000000e+0)
[17] (-1.638400e+4 +/- 0.000000e+0) (-8.192000e+3 +/- 0.000000e+0)
[19] (-4.096000e+3 +/- 0.000000e+0) (-2.048000e+3 +/- 0.000000e+0)
[21] (-1.024000e+3 +/- 0.000000e+0) (-5.120000e+2 +/- 0.000000e+0)
[23] (-2.560000e+2 +/- 0.000000e+0) (-1.280000e+2 +/- 0.000000e+0)
[25] (-6.400000e+1 +/- 0.000000e+0) (-3.200000e+1 +/- 0.000000e+0)
[27] (-1.600000e+1 +/- 0.000000e+0) (-8.000000e+0 +/- 0.000000e+0)
[29] (-4.000000e+0 +/- 0.000000e+0) (-2.000000e+0 +/- 0.000000e+0)
[31] (-1.000000e+0 +/- 0.000000e+0) ( 0.000000e+0 +/- 0.000000e+0)
[33] ( 0.000000e+0 +/- 0.000000e+0) ( 1.000000e+0 +/- 0.000000e+0)
[35] ( 2.000000e+0 +/- 0.000000e+0) ( 4.000000e+0 +/- 0.000000e+0)
[37] ( 8.000000e+0 +/- 0.000000e+0) ( 1.600000e+1 +/- 0.000000e+0)
[39] ( 3.200000e+1 +/- 0.000000e+0) ( 6.400000e+1 +/- 0.000000e+0)
[41] ( 1.280000e+2 +/- 0.000000e+0) ( 2.560000e+2 +/- 0.000000e+0)
[43] ( 5.120000e+2 +/- 0.000000e+0) ( 1.024000e+3 +/- 0.000000e+0)
[45] ( 2.048000e+3 +/- 0.000000e+0) ( 4.096000e+3 +/- 0.000000e+0)
[47] ( 8.192000e+3 +/- 0.000000e+0) ( 1.638400e+4 +/- 0.000000e+0)
[49] ( 3.276800e+4 +/- 0.000000e+0) ( 6.553600e+4 +/- 0.000000e+0)
[51] ( 1.310720e+5 +/- 0.000000e+0) ( 2.621440e+5 +/- 0.000000e+0)
[53] ( 5.242880e+5 +/- 0.000000e+0) ( 1.048576e+6 +/- 0.000000e+0)
[55] ( 2.097152e+6 +/- 0.000000e+0) ( 4.194304e+6 +/- 0.000000e+0)
[57] ( 8.388608e+6 +/- 0.000000e+0) ( 1.677722e+7 +/- 0.000000e+0)
[59] ( 3.355443e+7 +/- 0.000000e+0) ( 6.710886e+7 +/- 0.000000e+0)
[61] ( 1.342177e+8 +/- 0.000000e+0) ( 2.684355e+8 +/- 0.000000e+0)
[63] ( 5.368709e+8 +/- 0.000000e+0) ( 1.073742e+9 +/- 0.000000e+0)
class "acb", length 64, address <pointer: 00000237CC5D4050>
 [1] (-1.073742e+9 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [2] (-5.368709e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [3] (-2.684355e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [4] (-1.342177e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [5] (-6.710886e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [6] (-3.355443e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [7] (-1.677722e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [8] (-8.388608e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
 [9] (-4.194304e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[10] (-2.097152e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[11] (-1.048576e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[12] (-5.242880e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[13] (-2.621440e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[14] (-1.310720e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[15] (-6.553600e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[16] (-3.276800e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[17] (-1.638400e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[18] (-8.192000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[19] (-4.096000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[20] (-2.048000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[21] (-1.024000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[22] (-5.120000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[23] (-2.560000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[24] (-1.280000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[25] (-6.400000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[26] (-3.200000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[27] (-1.600000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[28] (-8.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[29] (-4.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[30] (-2.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[31] (-1.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[32] ( 0.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[33] ( 0.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[34] ( 1.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[35] ( 2.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[36] ( 4.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[37] ( 8.000000e+0 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[38] ( 1.600000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[39] ( 3.200000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[40] ( 6.400000e+1 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[41] ( 1.280000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[42] ( 2.560000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[43] ( 5.120000e+2 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[44] ( 1.024000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[45] ( 2.048000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[46] ( 4.096000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[47] ( 8.192000e+3 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[48] ( 1.638400e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[49] ( 3.276800e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[50] ( 6.553600e+4 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[51] ( 1.310720e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[52] ( 2.621440e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[53] ( 5.242880e+5 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[54] ( 1.048576e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[55] ( 2.097152e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[56] ( 4.194304e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[57] ( 8.388608e+6 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[58] ( 1.677722e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[59] ( 3.355443e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[60] ( 6.710886e+7 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[61] ( 1.342177e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[62] ( 2.684355e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[63] ( 5.368709e+8 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
[64] ( 1.073742e+9 +/- 0.000000e+0)+(0.000000e+0 +/- 0.000000e+0)i
> 
> prec <- as.integer(cumprod(rep(c(1, 2), c(1L, 15L))))
> e... <- arb_const_e(prec)
> print(e..., digits = 32L)
class "arb", length 16, address <pointer: 00000237CC3E3740>
 [1] (2.0000000000000000000000000000000e+0 +/- 2.0000000037252902984619140625000e+0000)
 [2] (2.0000000000000000000000000000000e+0 +/- 1.0000000018626451492309570312500e+0000)
 [3] (2.5000000000000000000000000000000e+0 +/- 2.5000000046566128730773925781250e-0001)
 [4] (2.7031250000000000000000000000000e+0 +/- 1.5625000029103830456733703613282e-0002)
 [5] (2.7182617187500000000000000000000e+0 +/- 6.1035156363686837721616029739380e-0005)
 [6] (2.7182818278670310974121093750000e+0 +/- 9.3132257635020199160180709441193e-0010)
 [7] (2.7182818284590452352113276734968e+0 +/- 2.1684043490099767027464860454480e-0019)
 [8] (2.7182818284590452353602874713527e+0 +/- 1.1754943530118163584762632105406e-0038)
 [9] (2.7182818284590452353602874713527e+0 +/- 3.4544674284722248369895768927939e-0077)
[10] (2.7182818284590452353602874713527e+0 +/- 2.9833362980369795710290798347920e-0154)
[11] (2.7182818284590452353602874713527e+0 +/- 2.2250738626517244123192802077844e-0308)
[12] (2.7182818284590452353602874713527e+0 +/- 1.2377384212584987722717311674684e-0616)
[13] (2.7182818284590452353602874713527e+0 +/- 3.8299909915147882718340257435504e-1233)
[14] (2.7182818284590452353602874713527e+0 +/- 3.6672077419404010302671413245372e-2466)
[15] (2.7182818284590452353602874713527e+0 +/- 3.3621031493744986169945729106858e-4932)
[16] (2.7182818284590452353602874713527e+0 +/- 2.8259343914947675536691964927047e-9864)
> 
> proc.time()
   user  system elapsed 
   0.43    0.01    0.45