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authorRoland McGrath <roland@gnu.org>2006-01-28 00:15:15 +0000
committerRoland McGrath <roland@gnu.org>2006-01-28 00:15:15 +0000
commitf964490f3c4f094fd684960c2e98885b23e31376 (patch)
treee10f697bd55240b9be7a9c1a5109ee07893d3136 /sysdeps/ieee754/ldbl-128ibm/e_hypotl.c
parentd421a7801d1bdfd8175e53a79068833ae4de56b1 (diff)
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2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> cvs/fedora-glibc-20060130T0922
	    Jakub Jelinek  <jakub@redhat.com>
	    Roland McGrath  <roland@redhat.com>
	    Steven Munroe  <sjmunroe@us.ibm.com>
	    Alan Modra  <amodra@bigpond.net.au>

	* sysdeps/powerpc/powerpc64/fpu/s_truncf.S: Comment fix.
	* sysdeps/powerpc/powerpc32/fpu/s_truncf.S: Likewise.
	* sysdeps/powerpc/powerpc64/fpu/s_llroundf.S: Likewise.

	* sysdeps/powerpc/fpu/libm-test-ulps: Update.

	* math/libm-test.inc (check_float_internal): Allow ulp <= 0.5.
	(erfc_test): Don't run erfcl (27.0L) test if erfcl (27.0L) is
	denormal.
	[TEST_LDOUBLE] (ceil_test, floor_test, llrint_test, llround_test,
	rint_test, round_test, trunc_test): Add new tests.

	* sysdeps/powerpc/powerpc32/fpu/s_copysignl.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fabs.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fabsl.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fdim.c: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fmax.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fmin.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_isnan.c: New file.

	* sysdeps/powerpc/powerpc64/fpu/s_ceill.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_copysignl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fabs.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fabsl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fdim.c: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_floorl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fmax.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fmin.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_isnan.c: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_llrintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_llroundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_lrintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_lroundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_rintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_roundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_truncl.S: New file.

	* sysdeps/unix/sysv/linux/powerpc/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/fpu/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/configure.in: New file.
	* sysdeps/unix/sysv/linux/powerpc/configure: New file.
	* sysdeps/unix/sysv/linux/powerpc/bits/wordsize.h
	(__LONG_DOUBLE_MATH_OPTIONAL): Define.
	(__NO_LONG_DOUBLE_MATH): Define.
	* sysdeps/unix/sysv/linux/powerpc/nldbl-abi.h: New file.
	* sysdeps/powerpc/fpu/s_isnan.c: Include math_ldbl_opt.h.
	* sysdeps/powerpc/powerpc64/fpu/s_ceil.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (ceill): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_copysign.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (copysignl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_floor.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (floorl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_llrint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llrintl, lrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_llround.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llroundl, lroundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_rint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (rintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_round.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (roundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_trunc.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (truncl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_ceil.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (ceill): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_copysign.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (copysignl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_floor.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (floorl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_lrint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (lrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_llrint.c: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_lround.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (lroundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_rint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (rintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_round.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (roundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_trunc.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (truncl): Add compatibility symbols.

	* misc/qefgcvt_r.c [LDBL_MIN_10_EXP == -291] (FLOAT_MIN_10_NORM): New.

	* sysdeps/powerpc/fpu/bits/mathdef.h (__NO_LONG_DOUBLE_MATH): Remove.
	* sysdeps/powerpc/Implies: Add ieee754/ldbl-128ibm.
	* sysdeps/powerpc/powerpc32/Implies: Remove powerpc/soft-fp.
	* sysdeps/ieee754/ldbl-128ibm/Makefile: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_acoshl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_acosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_asinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_atan2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_coshl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_expl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_fmodl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_hypotl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_j0l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_j1l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_jnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_lgammal_r.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_log10l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_log2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_logl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_powl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_remainderl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_sqrtl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/ieee754.h: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_cosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_sinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_tanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/ldbl2mpn.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/math_ldbl.h: New file.
	* sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/printf_fphex.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_cbrtl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_cosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_erfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_expm1l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_fabsl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_finitel.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_frexpl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_ilogbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_isinfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_isnanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_log1pl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_logbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_modfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_remquol.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_rintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_scalblnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_signbitl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_sinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_tanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_truncl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/strtold_l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/t_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/w_expl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_copysignl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_floorl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_llrintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_llroundl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_roundl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_ceill.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_lrintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_lroundl.c: New file.

	* sysdeps/ieee754/ldbl-128/e_powl.c: Fix old comment.
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm/e_hypotl.c')
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_hypotl.c131
1 files changed, 131 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c b/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c
new file mode 100644
index 0000000000..4330f28b93
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c
@@ -0,0 +1,131 @@
+/* @(#)e_hypotl.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_hypotl.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
+#endif
+
+/* __ieee754_hypotl(x,y)
+ *
+ * Method :
+ *	If (assume round-to-nearest) z=x*x+y*y
+ *	has error less than sqrtl(2)/2 ulp, than
+ *	sqrtl(z) has error less than 1 ulp (exercise).
+ *
+ *	So, compute sqrtl(x*x+y*y) with some care as
+ *	follows to get the error below 1 ulp:
+ *
+ *	Assume x>y>0;
+ *	(if possible, set rounding to round-to-nearest)
+ *	1. if x > 2y  use
+ *		x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ *	where x1 = x with lower 53 bits cleared, x2 = x-x1; else
+ *	2. if x <= 2y use
+ *		t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ *	where t1 = 2x with lower 53 bits cleared, t2 = 2x-t1,
+ *	y1= y with lower 53 bits chopped, y2 = y-y1.
+ *
+ *	NOTE: scaling may be necessary if some argument is too
+ *	      large or too tiny
+ *
+ * Special cases:
+ *	hypotl(x,y) is INF if x or y is +INF or -INF; else
+ *	hypotl(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * 	hypotl(x,y) returns sqrtl(x^2+y^2) with error less
+ * 	than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const long double two600 = 0x1.0p+600L;
+static const long double two1022 = 0x1.0p+1022L;
+
+#ifdef __STDC__
+	long double __ieee754_hypotl(long double x, long double y)
+#else
+	long double __ieee754_hypotl(x,y)
+	long double x, y;
+#endif
+{
+	long double a,b,t1,t2,y1,y2,w,kld;
+	int64_t j,k,ha,hb;
+
+	GET_LDOUBLE_MSW64(ha,x);
+	ha &= 0x7fffffffffffffffLL;
+	GET_LDOUBLE_MSW64(hb,y);
+	hb &= 0x7fffffffffffffffLL;
+	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+	a = fabsl(a);	/* a <- |a| */
+	b = fabsl(b);	/* b <- |b| */
+	if((ha-hb)>0x3c0000000000000LL) {return a+b;} /* x/y > 2**60 */
+	k=0;
+	kld = 1.0L;
+	if(ha > 0x5f30000000000000LL) {	/* a>2**500 */
+	   if(ha >= 0x7ff0000000000000LL) {	/* Inf or NaN */
+	       u_int64_t low;
+	       w = a+b;			/* for sNaN */
+	       GET_LDOUBLE_LSW64(low,a);
+	       if(((ha&0xfffffffffffffLL)|(low&0x7fffffffffffffffLL))==0)
+		 w = a;
+	       GET_LDOUBLE_LSW64(low,b);
+	       if(((hb^0x7ff0000000000000LL)|(low&0x7fffffffffffffffLL))==0)
+		 w = b;
+	       return w;
+	   }
+	   /* scale a and b by 2**-600 */
+	   ha -= 0x2580000000000000LL; hb -= 0x2580000000000000LL; k += 600;
+	   a /= two600;
+	   b /= two600;
+	   k += 600;
+	   kld = two600;
+	}
+	if(hb < 0x20b0000000000000LL) {	/* b < 2**-500 */
+	    if(hb <= 0x000fffffffffffffLL) {	/* subnormal b or 0 */
+	        u_int64_t low;
+		GET_LDOUBLE_LSW64(low,b);
+		if((hb|(low&0x7fffffffffffffffLL))==0) return a;
+		t1=two1022;	/* t1=2^1022 */
+		b *= t1;
+		a *= t1;
+		k -= 1022;
+		kld = kld / two1022;
+	    } else {		/* scale a and b by 2^600 */
+	        ha += 0x2580000000000000LL; 	/* a *= 2^600 */
+		hb += 0x2580000000000000LL;	/* b *= 2^600 */
+		k -= 600;
+		a *= two600;
+		b *= two600;
+		kld = kld / two600;
+	    }
+	}
+    /* medium size a and b */
+	w = a-b;
+	if (w>b) {
+	    SET_LDOUBLE_WORDS64(t1,ha,0);
+	    t2 = a-t1;
+	    w  = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+	} else {
+	    a  = a+a;
+	    SET_LDOUBLE_WORDS64(y1,hb,0);
+	    y2 = b - y1;
+	    SET_LDOUBLE_WORDS64(t1,ha+0x0010000000000000LL,0);
+	    t2 = a - t1;
+	    w  = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+	}
+	if(k!=0)
+	    return w*kld;
+	else
+	    return w;
+}