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48 lines
1.7 KiB

/*===
1e+23
1e+23
1e+23
===*/
/* This integer constant parsed incorrectly in some version
* and would print, incorrectly:
*
* 1.0000000000000001e+23
*
* Looking at the IEEE representations:
*
* $ python
* Python 2.7.3 (default, Aug 1 2012, 05:14:39)
* [GCC 4.6.3] on linux2
* Type "help", "copyright", "credits" or "license" for more information.
* >>> import struct
* >>> struct.pack('>d', 1e+23).encode('hex')
* '44b52d02c7e14af6'
* >>> struct.pack('>d', 1.0000000000000001e+23).encode('hex')
* '44b52d02c7e14af7'
*
* It's apparent that the rounding of the last digit is incorrect.
* The Dragon4 generator output (when a large number of binary digits
* is requested explicitly) is:
*
* generated digits; k=77, .-- digit considered for rounding
* digits= v
* 10101001 01101000 00010110 00111111 00001010 01010111 10110100 00000000 00000000 00000000 00000000 00000000 ... (zeroes indefinitely)
* ^ ^
* `-- hidden bit `-- last mantissa digit
*
* The problem here is that the number is apparently exactly halfway between
* the two IEEE representations; the current rounding will only consider the
* immedate '1' digit and round up. This case is not trivial to fix because
* we don't know, based on just the one rounding digit, that the number is
* exactly halfway and we should round to even.
*/
try {
print(parseInt('0000100000000000000000000000', 10));
print(parseFloat('1e23', 10));
print(parseFloat('1e+23', 10));
} catch (e) {
print(e);
}