Here is a list of bugs in GlibCs pow implementation. 1) pow(-1, 1e100): Returns NaN and raises the "invalid" floating-point exception. It should return 1 and raise no exception. (This is because all large floating-point numbers are even integers if the radix is even. This motivates pow(-1, inf) = +1, which is treated correctly by GlibC). 2) pow(-1, -1e100): Same as above. 3) pow(-3.141592, 1e100): Returns NaN and raises the "invalid" floating-point exception. It should return +inf and raise the "overflow" floating-point exception flag. 4) pow(-3.141592, -1e100): Returns NaN and raises the "invalid" floating-point exception. It should return +0 and raise the "underflow" floating-point exception flag. 4) pow(-0, -1e100): Raises the "invalid" floating point exception. It shouldn't do that: this is just a case of exact division by zero. Division by zero is correctly flagged and +inf is returned, but the "invalid" flag is wrong. 5) pow(-inf, -1e100): Raises the "invalid" floating point exception. It shouldn't do that. After all, it correctly returns 0. 6) pow(-inf, 1e100): Raises the "invalid" floating point exception. It shouldn't do that. After all, it correctly returns +inf. 7) pow(-0, -9.0071991544401990e+15) This returns +inf. It should return -inf, since the double precision exponent is an odd number (fabs(fmod(-9.0071991544401990e+15,2.0))==1.0 exactly).

Created attachment 2892 [details] test program Just to add a little detail here regarding these four points: 1) pow(-1, 1e100): 2) pow(-1, -1e100): 3) pow(-3.141592, 1e100): 4) pow(-3.141592, -1e100): If x is less than -0, then (on x86, glibc 2.8) pow() fails with EDOM/FE_INVALID for any y whose absolute value is greater than about 9.223373e18. (EDOM/FE_INVALID == pole error, which is the error that occurs if x == 0, and y is negative)

Regarding: 4) pow(-0, -1e100) this problem seems to be absent on glibc 2.8. There, pow(-0, -1e100) does the right thing, returning -Inf and giving EDOM/FE_DIVBYZERO.

Regarding: 5) pow(-inf, -1e100): 6) pow(-inf, 1e100): The problem persists in glibc 2.8, and again the cut-off y value that demonstrates this behavior is |y| greater than about 9.223373e18.

(In reply to comment #2) > 4) pow(-0, -1e100) > > this problem seems to be absent on glibc 2.8. There, pow(-0, -1e100) does the > right thing, returning -Inf and giving EDOM/FE_DIVBYZERO. But the right thing to do would return +Inf and giving EDOM/FE_DIVBYZERO, as -1e100 is < 0 and not an odd integer (specified in. F.9.4.4, second dash.)

(In reply to comment #4) > (In reply to comment #2) > > 4) pow(-0, -1e100) > > > > this problem seems to be absent on glibc 2.8. There, pow(-0, -1e100) does the > > right thing, returning -Inf and giving EDOM/FE_DIVBYZERO. > But the right thing to do would return +Inf and giving EDOM/FE_DIVBYZERO, as > -1e100 is < 0 and not an odd integer (specified in. F.9.4.4, second dash.) Oops. Yes, of course you are right. And glibc 2.8 is doing the right thing, I just wrote the wrong thing. pow(-0, -1e100) gives +Inf with EDOM/FE_DIVBYZERO.

Confirmed still present on x86: (1), (2), (3), (4a), (4b), (5), (6), (7). On x86_64: (1), (2) pass, (3) has the right result but no OVERFLOW exception, (4a) has the right result but no UNDERFLOW exception, (4b) has the right result but no DIVBYZERO exception, (5), (6), (7) pass. There are two tests numbered (4) which I have marked (4a) and (4b). I do not reproduce with current sources the report of (4b) pow(-0, -1e100) passing.

(4b), (5), (6), (7) fixed by: commit 2460d3aa21f04cdf28497683bd3e29183189f779 Author: Joseph Myers <joseph@codesourcery.com> Date: Wed Mar 21 12:14:57 2012 +0000 Fix pow of zero and infinity to large powers. (1), (2), (3), (4a) remain to be fixed.

Remaining cases fixed by: commit d6270972f79fe89a96fa7a3909991dad2e317033 Author: Joseph Myers <joseph@codesourcery.com> Date: Wed Mar 28 14:57:58 2012 +0000 Fix pow of negative numbers to integer exponents (bugs 369, 2678, 3866).

*** Bug 260998 has been marked as a duplicate of this bug. *** Seen from the domain http://volichat.com Page where seen: http://volichat.com/adult-chat-rooms Marked for reference. Resolved as fixed @bugzilla.

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