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Re: PATCH: BZ 552: Wrong return values for tgamma (0) and tgamma (-0)


On Fri, Nov 19, 2004 at 10:31:37AM +0100, Jakub Jelinek wrote:
> On Tue, Nov 16, 2004 at 05:54:50PM -0800, H. J. Lu wrote:
> > +	    case 50:
> > +	    case 150:
> > +	    case 250:
> > +		/* tgamma(|x|==0) */
> > +#ifdef FE_INVALID
> > +		feclearexcept (FE_INVALID);
> > +#endif
> > +		exc.type = SING;
> > +		exc.name = type < 100 ? "tgamma" : (type < 200
> > +						   ? "tgammaf" : "tgammal");
> > +		exc.retval = 1.0/x;
> 
> This doesn't sound right to me.
> If tgamma (+-0) is supposed to raise divide by zero exception, then
> raising invalid exception, then clearing it and raising divide by
> zero sounds wrong.
> I'd say the right fix is to change sysdeps/ieee754/*/e_gamma*_r.c
> to:

Here is the updated patch.

Thanks.

H.J.
---
2004-11-19  H.J. Lu  <hongjiu.lu@intel.com>

	[BZ #552]
	* math/libm-test.inc (tgamma_test): Update tgamma (0) and
	tgamma (-0).

	* sysdeps/generic/w_tgamma.c (__tgamma): Properly handle
	|x| == 0.
	* sysdeps/generic/w_tgammaf.c (__tgammaf): Likewise.
	* sysdeps/generic/w_tgammal.c (__tgammal): Likewise.
	* sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise.
	* sysdeps/ieee754/flt-32/e_gammaf_r.c: Likewise.
	* sysdeps/ieee754/ldbl-128/e_gammal_r.c: Likewise.
	* sysdeps/ieee754/ldbl-96/e_gammal_r.c: Likewise.

	* sysdeps/ieee754/k_standard.c (__kernel_standard): Handle
	tgamma (0) and tgamma (-0).

--- libc/math/libm-test.inc.tgamma	2004-09-27 11:54:13.000000000 -0700
+++ libc/math/libm-test.inc	2004-11-17 08:45:44.000000000 -0800
@@ -4132,8 +4132,8 @@ tgamma_test (void)
   START (tgamma);
 
   TEST_f_f (tgamma, plus_infty, plus_infty);
-  TEST_f_f (tgamma, 0, nan_value, INVALID_EXCEPTION);
-  TEST_f_f (tgamma, minus_zero, nan_value, INVALID_EXCEPTION);
+  TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+  TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
   /* tgamma (x) == NaN plus invalid exception for integer x <= 0.  */
   TEST_f_f (tgamma, -2, nan_value, INVALID_EXCEPTION);
   TEST_f_f (tgamma, minus_infty, nan_value, INVALID_EXCEPTION);
--- libc/sysdeps/generic/w_tgamma.c.tgamma	2001-02-16 17:45:34.000000000 -0800
+++ libc/sysdeps/generic/w_tgamma.c	2004-11-17 08:45:44.000000000 -0800
@@ -39,8 +39,10 @@ static char rcsid[] = "$NetBSD: w_gamma.
 	if(_LIB_VERSION == _IEEE_) return y;
 
 	if(!__finite(y)&&__finite(x)) {
-	  if(__floor(x)==x&&x<=0.0)
-	    return __kernel_standard(x,x,41); /* tgamma pole */
+	  if (x == 0.0)
+	    return __kernel_standard(x,x,50); /* tgamma pole */
+	  else if(__floor(x)==x&&x<0.0)
+	    return __kernel_standard(x,x,41); /* tgamma domain */
 	  else
 	    return __kernel_standard(x,x,40); /* tgamma overflow */
 	}
--- libc/sysdeps/generic/w_tgammaf.c.tgamma	2001-02-16 17:45:39.000000000 -0800
+++ libc/sysdeps/generic/w_tgammaf.c	2004-11-17 08:45:44.000000000 -0800
@@ -37,8 +37,11 @@ static char rcsid[] = "$NetBSD: w_gammaf
 	if(_LIB_VERSION == _IEEE_) return y;
 
 	if(!__finitef(y)&&__finitef(x)) {
-	  if(__floorf(x)==x&&x<=(float)0.0)
+	  if (x == (float)0.0)
 	    /* tgammaf pole */
+	    return (float)__kernel_standard((double)x,(double)x,150);
+	  else if(__floorf(x)==x&&x<(float)0.0)
+	    /* tgammaf domain */
 	    return (float)__kernel_standard((double)x,(double)x,141);
 	  else
 	    /* tgammaf overflow */
--- libc/sysdeps/generic/w_tgammal.c.tgamma	2001-02-16 17:45:44.000000000 -0800
+++ libc/sysdeps/generic/w_tgammal.c	2004-11-17 08:45:44.000000000 -0800
@@ -42,8 +42,10 @@ static char rcsid[] = "$NetBSD: $";
 	if(_LIB_VERSION == _IEEE_) return y;
 
 	if(!__finitel(y)&&__finitel(x)) {
-	  if(__floorl(x)==x&&x<=0.0)
-	    return __kernel_standard(x,x,241); /* tgamma pole */
+	  if(x==0.0)
+	    return __kernel_standard(x,x,250); /* tgamma pole */
+	  else if(__floorl(x)==x&&x<0.0)
+	    return __kernel_standard(x,x,241); /* tgamma domain */
 	  else
 	    return __kernel_standard(x,x,240); /* tgamma overflow */
 	}
--- libc/sysdeps/ieee754/dbl-64/e_gamma_r.c.tgamma	2001-07-05 21:55:55.000000000 -0700
+++ libc/sysdeps/ieee754/dbl-64/e_gamma_r.c	2004-11-19 07:52:47.296379870 -0800
@@ -1,5 +1,5 @@
 /* Implementation of gamma function according to ISO C.
-   Copyright (C) 1997, 1999, 2001 Free Software Foundation, Inc.
+   Copyright (C) 1997, 1999, 2001, 2004 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
 
@@ -35,9 +35,9 @@ __ieee754_gamma_r (double x, int *signga
 
   if (((hx & 0x7fffffff) | lx) == 0)
     {
-      /* Return value for x == 0 is NaN with invalid exception.  */
+      /* Return value for x == 0 is Inf with divide by zero exception.  */
       *signgamp = 0;
-      return x / x;
+      return 1.0 / x;
     }
   if (hx < 0 && (u_int32_t) hx < 0xfff00000 && __rint (x) == x)
     {
--- libc/sysdeps/ieee754/flt-32/e_gammaf_r.c.tgamma	2001-07-05 21:55:55.000000000 -0700
+++ libc/sysdeps/ieee754/flt-32/e_gammaf_r.c	2004-11-19 07:53:09.898452892 -0800
@@ -1,5 +1,5 @@
 /* Implementation of gamma function according to ISO C.
-   Copyright (C) 1997, 1999, 2001 Free Software Foundation, Inc.
+   Copyright (C) 1997, 1999, 2001, 2004 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
 
@@ -34,9 +34,9 @@ __ieee754_gammaf_r (float x, int *signga
 
   if ((hx & 0x7fffffff) == 0)
     {
-      /* Return value for x == 0 is NaN with invalid exception.  */
+      /* Return value for x == 0 is Inf with divide by zero exception.  */
       *signgamp = 0;
-      return x / x;
+      return 1.0 / x;
     }
   if (hx < 0 && (u_int32_t) hx < 0xff800000 && __rintf (x) == x)
     {
--- libc/sysdeps/ieee754/k_standard.c.tgamma	2001-06-06 05:46:35.000000000 -0700
+++ libc/sysdeps/ieee754/k_standard.c	2004-11-19 07:51:02.289978242 -0800
@@ -832,7 +832,7 @@ static double zero = 0.0;	/* used as con
 	    case 40:
 	    case 140:
 	    case 240:
-		/* gamma(finite) overflow */
+		/* tgamma(finite) overflow */
 		exc.type = OVERFLOW;
 		exc.name = type < 100 ? "tgamma" : (type < 200
 						   ? "tgammaf" : "tgammal");
@@ -846,7 +846,7 @@ static double zero = 0.0;	/* used as con
 	    case 41:
 	    case 141:
 	    case 241:
-		/* gamma(-integer) or gamma(0) */
+		/* tgamma(-integer) */
 		exc.type = SING;
 		exc.name = type < 100 ? "tgamma" : (type < 200
 						   ? "tgammaf" : "tgammal");
@@ -973,8 +973,26 @@ static double zero = 0.0;	/* used as con
 		  __set_errno (EDOM);
 		}
 		break;
+	    case 50:
+	    case 150:
+	    case 250:
+		/* tgamma(|x|==0) */
+		exc.type = SING;
+		exc.name = type < 100 ? "tgamma" : (type < 200
+						   ? "tgammaf" : "tgammal");
+		exc.retval = 1.0/x;
+		if (_LIB_VERSION == _POSIX_)
+		  __set_errno (ERANGE);
+		else if (!matherr(&exc)) {
+		  if (_LIB_VERSION == _SVID_) {
+			(void) WRITE2("tgamma: SING error\n", 18);
+			exc.retval = 1.0/x;
+		      }
+		  __set_errno (ERANGE);
+		}
+		break;
 		
-		/* #### Last used is 49/149/249 ### */
+		/* #### Last used is 50/150/250 ### */
 	}
 	return exc.retval;
 }
--- libc/sysdeps/ieee754/ldbl-128/e_gammal_r.c.tgamma	2002-07-10 20:12:07.000000000 -0700
+++ libc/sysdeps/ieee754/ldbl-128/e_gammal_r.c	2004-11-19 07:53:38.121797957 -0800
@@ -1,5 +1,5 @@
 /* Implementation of gamma function according to ISO C.
-   Copyright (C) 1997, 1999, 2002 Free Software Foundation, Inc.
+   Copyright (C) 1997, 1999, 2002, 2004 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
    		  Jakub Jelinek <jj@ultra.linux.cz, 1999.
@@ -36,9 +36,9 @@ __ieee754_gammal_r (long double x, int *
 
   if (((hx & 0x7fffffffffffffffLL) | lx) == 0)
     {
-      /* Return value for x == 0 is NaN with invalid exception.  */
+      /* Return value for x == 0 is Inf with divide by zero exception.  */
       *signgamp = 0;
-      return x / x;
+      return 1.0 / x;
     }
   if (hx < 0 && (u_int64_t) hx < 0xffff000000000000ULL && __rintl (x) == x)
     {
--- libc/sysdeps/ieee754/ldbl-96/e_gammal_r.c.tgamma	2003-04-07 08:09:36.000000000 -0700
+++ libc/sysdeps/ieee754/ldbl-96/e_gammal_r.c	2004-11-19 07:54:15.695932092 -0800
@@ -1,5 +1,5 @@
 /* Implementation of gamma function according to ISO C.
-   Copyright (C) 1997, 1999, 2001, 2003 Free Software Foundation, Inc.
+   Copyright (C) 1997, 1999, 2001, 2003, 2004 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
 
@@ -34,9 +34,9 @@ __ieee754_gammal_r (long double x, int *
 
   if (((es & 0x7fff) | hx | lx) == 0)
     {
-      /* Return value for x == 0 is NaN with invalid exception.  */
+      /* Return value for x == 0 is Inf with divide by zero exception.  */
       *signgamp = 0;
-      return x / x;
+      return 1.0 / x;
     }
   if (es == 0xffffffff && ((hx & 0x7fffffff) | lx) == 0)
     {


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