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authorRoland McGrath <roland@gnu.org>1996-03-05 21:41:30 +0000
committerRoland McGrath <roland@gnu.org>1996-03-05 21:41:30 +0000
commitf7eac6eb504f4baf13dbb4d26717942df050ebe6 (patch)
tree95ff129c06c7f6f246a5e2bfa489ba6382659d19 /sysdeps/libm-ieee754/s_cbrt.c
parent1521668f2afae1dc2ef5d7ffaeb84353b36874dd (diff)
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Mon Mar 4 20:54:40 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
	* Makeconfig ($(common-objpfx)config.make): Depend on config.h.in.


Mon Mar  4 17:35:09 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>

	* hurd/catch-signal.c (hurd_safe_memmove): New function.
	(hurd_safe_copyin, hurd_safe_copyout): New functions.
	* hurd/hurd/sigpreempt.h: Declare them.

Sun Mar  3 08:43:44 1996  Roland McGrath  <roland@charlie-brown.gnu.ai.mit.edu>

	Replace math code with fdlibm from Sun as modified for netbsd by
	JT Conklin and Ian Taylor, including x86 FPU support.
	* sysdeps/libm-ieee754, sysdeps/libm-i387: New directories.
	* math/math_private.h: New file.
	* sysdeps/i386/fpu/Implies: New file.
	* sysdeps/ieee754/Implies: New file.
	* math/machine/asm.h, math/machine/endian.h: New files.
	* math/Makefile, math/math.h: Rewritten.
	* mathcalls.h, math/mathcalls.h: New file, broken out of math.h.
	* math/finite.c: File removed.
	* sysdeps/generic/Makefile [$(subdir)=math]: Frobnication removed.

	* math/test-math.c: Include errno.h and string.h.

	* sysdeps/unix/bsd/dirstream.h: File removed.
	* sysdeps/unix/bsd/readdir.c: File removed.
Diffstat (limited to 'sysdeps/libm-ieee754/s_cbrt.c')
-rw-r--r--sysdeps/libm-ieee754/s_cbrt.c94
1 files changed, 94 insertions, 0 deletions
diff --git a/sysdeps/libm-ieee754/s_cbrt.c b/sysdeps/libm-ieee754/s_cbrt.c
new file mode 100644
index 0000000000..cf72f4c2fa
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_cbrt.c
@@ -0,0 +1,94 @@
+/* @(#)s_cbrt.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: s_cbrt.c,v 1.8 1995/05/10 20:46:49 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrt(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const u_int32_t
+#else
+static u_int32_t
+#endif
+	B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */
+	B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+C =  5.42857142857142815906e-01, /* 19/35     = 0x3FE15F15, 0xF15F15F1 */
+D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */
+E =  1.41428571428571436819e+00, /* 99/70     = 0x3FF6A0EA, 0x0EA0EA0F */
+F =  1.60714285714285720630e+00, /* 45/28     = 0x3FF9B6DB, 0x6DB6DB6E */
+G =  3.57142857142857150787e-01; /* 5/14      = 0x3FD6DB6D, 0xB6DB6DB7 */
+
+#ifdef __STDC__
+	double __cbrt(double x) 
+#else
+	double __cbrt(x) 
+	double x;
+#endif
+{
+	int32_t	hx;
+	double r,s,t=0.0,w;
+	u_int32_t sign;
+	u_int32_t high,low;
+
+	GET_HIGH_WORD(hx,x);
+	sign=hx&0x80000000; 		/* sign= sign(x) */
+	hx  ^=sign;
+	if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */
+	GET_LOW_WORD(low,x);
+	if((hx|low)==0) 
+	    return(x);		/* cbrt(0) is itself */
+
+	SET_HIGH_WORD(x,hx);	/* x <- |x| */
+    /* rough cbrt to 5 bits */
+	if(hx<0x00100000) 		/* subnormal number */
+	  {SET_HIGH_WORD(t,0x43500000);	/* set t= 2**54 */
+	   t*=x; GET_HIGH_WORD(high,t); SET_HIGH_WORD(t,high/3+B2);
+	  }
+	else
+	  SET_HIGH_WORD(t,hx/3+B1);
+
+
+    /* new cbrt to 23 bits, may be implemented in single precision */
+	r=t*t/x;
+	s=C+r*t;
+	t*=G+F/(s+E+D/s);	
+
+    /* chopped to 20 bits and make it larger than cbrt(x) */ 
+	GET_HIGH_WORD(high,t);
+	INSERT_WORDS(t,high+0x00000001,0);
+
+
+    /* one step newton iteration to 53 bits with error less than 0.667 ulps */
+	s=t*t;		/* t*t is exact */
+	r=x/s;
+	w=t+t;
+	r=(r-t)/(w+r);	/* r-s is exact */
+	t=t+t*r;
+
+    /* retore the sign bit */
+	GET_HIGH_WORD(high,t);
+	SET_HIGH_WORD(t,high|sign);
+	return(t);
+}
+weak_alias (__cbrt, cbrt)