in reply to Re^3: Integers sometimes turn into Reals after substraction (error correction ?)
in thread Integers sometimes turn into Reals after substraction

Convert ieee floats into hex notation, for each of 2**n - 1 and 2**n:

cmd.exe> perl -e "use 5.010; for(0..31){$e=2**$_; $f=$e-1; $str = join + '', map { sprintf '%02x ', ord } split(//, pack('dddd', $f+4/25, $e+ +4/25, ($f+4/25)*1000, ($e+4/25)*1000)); $str =~ s/(.{24})(.{24})(.{24 +})(.{24})/\1\t\2\t\3\t\4/; say qq{$_\t$str};}" 0 7b 14 ae 47 e1 7a c4 3f 8f c2 f5 28 5c 8f f2 3f + 00 00 00 00 00 00 64 40 00 00 00 00 00 20 92 40 1 8f c2 f5 28 5c 8f f2 3f 48 e1 7a 14 ae 47 01 40 + 00 00 00 00 00 20 92 40 00 00 00 00 00 e0 a0 40 2 48 e1 7a 14 ae 47 09 40 a4 70 3d 0a d7 a3 10 40 + 00 00 00 00 00 b0 a8 40 00 00 00 00 00 40 b0 40 3 a4 70 3d 0a d7 a3 1c 40 52 b8 1e 85 eb 51 20 40 + 00 00 00 00 00 f8 bb 40 00 00 00 00 00 e0 bf 40 4 52 b8 1e 85 eb 51 2e 40 29 5c 8f c2 f5 28 30 40 + 00 00 00 00 00 9c cd 40 00 00 00 00 00 90 cf 40 5 29 5c 8f c2 f5 28 3f 40 14 ae 47 e1 7a 14 40 40 + 00 00 00 00 00 6e de 40 ff ff ff ff ff 67 df 40 6 14 ae 47 e1 7a 94 4f 40 0a d7 a3 70 3d 0a 50 40 + 00 00 00 00 00 d7 ee 40 00 00 00 00 00 54 ef 40 7 0a d7 a3 70 3d ca 5f 40 85 eb 51 b8 1e 05 60 40 + 00 00 00 00 80 0b ff 40 00 00 00 00 00 4a ff 40 8 85 eb 51 b8 1e e5 6f 40 c3 f5 28 5c 8f 02 70 40 + 00 00 00 00 c0 25 0f 41 01 00 00 00 00 45 0f 41 9 c3 f5 28 5c 8f f2 7f 40 e1 7a 14 ae 47 01 80 40 + 00 00 00 00 e0 32 1f 41 ff ff ff ff 7f 42 1f 41 10 e1 7a 14 ae 47 f9 8f 40 71 3d 0a d7 a3 00 90 40 + 00 00 00 00 70 39 2f 41 01 00 00 00 40 41 2f 41 11 71 3d 0a d7 a3 fc 9f 40 b8 1e 85 eb 51 00 a0 40 + 00 00 00 00 b8 3c 3f 41 ff ff ff ff 9f 40 3f 41 12 b8 1e 85 eb 51 fe af 40 5c 8f c2 f5 28 00 b0 40 + 00 00 00 00 5c 3e 4f 41 00 00 00 00 50 40 4f 41 13 5c 8f c2 f5 28 ff bf 40 ae 47 e1 7a 14 00 c0 40 + 00 00 00 00 2e 3f 5f 41 00 00 00 00 28 40 5f 41 14 ae 47 e1 7a 94 ff cf 40 d7 a3 70 3d 0a 00 d0 40 + 00 00 00 00 97 3f 6f 41 00 00 00 00 14 40 6f 41 15 d7 a3 70 3d ca ff df 40 ec 51 b8 1e 05 00 e0 40 + 00 00 00 80 cb 3f 7f 41 01 00 00 00 0a 40 7f 41 16 ec 51 b8 1e e5 ff ef 40 f6 28 5c 8f 02 00 f0 40 + 00 00 00 c0 e5 3f 8f 41 00 00 00 00 05 40 8f 41 17 f6 28 5c 8f f2 ff ff 40 7b 14 ae 47 01 00 00 41 + 00 00 00 e0 f2 3f 9f 41 00 00 00 80 02 40 9f 41 18 7b 14 ae 47 f9 ff 0f 41 3d 0a d7 a3 00 00 10 41 + 00 00 00 70 f9 3f af 41 ff ff ff 3f 01 40 af 41 19 3d 0a d7 a3 fc ff 1f 41 1f 85 eb 51 00 00 20 41 + 00 00 00 b8 fc 3f bf 41 01 00 00 a0 00 40 bf 41 20 1f 85 eb 51 fe ff 2f 41 8f c2 f5 28 00 00 30 41 + 00 00 00 5c fe 3f cf 41 ff ff ff 4f 00 40 cf 41 21 8f c2 f5 28 ff ff 3f 41 48 e1 7a 14 00 00 40 41 + 00 00 00 2e ff 3f df 41 01 00 00 28 00 40 df 41 22 48 e1 7a 94 ff ff 4f 41 a4 70 3d 0a 00 00 50 41 + 00 00 00 97 ff 3f ef 41 00 00 00 14 00 40 ef 41 23 a4 70 3d ca ff ff 5f 41 52 b8 1e 05 00 00 60 41 + 00 00 80 cb ff 3f ff 41 00 00 00 0a 00 40 ff 41 24 52 b8 1e e5 ff ff 6f 41 29 5c 8f 02 00 00 70 41 + 00 00 c0 e5 ff 3f 0f 42 00 00 00 05 00 40 0f 42 25 29 5c 8f f2 ff ff 7f 41 14 ae 47 01 00 00 80 41 + 00 00 e0 f2 ff 3f 1f 42 ff ff 7f 02 00 40 1f 42 26 14 ae 47 f9 ff ff 8f 41 0a d7 a3 00 00 00 90 41 + 00 00 70 f9 ff 3f 2f 42 00 00 40 01 00 40 2f 42 27 0a d7 a3 fc ff ff 9f 41 85 eb 51 00 00 00 a0 41 + 00 00 b8 fc ff 3f 3f 42 00 00 a0 00 00 40 3f 42 28 85 eb 51 fe ff ff af 41 c3 f5 28 00 00 00 b0 41 + 00 00 5c fe ff 3f 4f 42 01 00 50 00 00 40 4f 42 29 c3 f5 28 ff ff ff bf 41 e1 7a 14 00 00 00 c0 41 + 00 00 2e ff ff 3f 5f 42 ff ff 27 00 00 40 5f 42 30 e1 7a 94 ff ff ff cf 41 71 3d 0a 00 00 00 d0 41 + 00 00 97 ff ff 3f 6f 42 01 00 14 00 00 40 6f 42 31 71 3d ca ff ff ff df 41 b8 1e 05 00 00 00 e0 41 + 00 80 cb ff ff 3f 7f 42 ff ff 09 00 00 40 7f 42 n 2**n - 1 2**n + (2**n - 1)*1000 (2**n) * 1000
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