Add implementations of acoshl(), asinhl(), and atanhl(). This is a

merge of the work done by bde and myself.

7 files changed, 275 insertions, 3 deletions

diff --git a/lib/msun/src/e_acosh.c b/lib/msun/src/e_acosh.c
index a0cc6cb..358c8bd 100644
--- a/lib/msun/src/e_acosh.c
+++ b/lib/msun/src/e_acosh.c
@@ -29,6 +29,8 @@ __FBSDID("$FreeBSD$");
  *	acosh(NaN) is NaN without signal.
  */
 
+#include <float.h>
+
 #include "math.h"
 #include "math_private.h"
 
@@ -60,3 +62,7 @@ __ieee754_acosh(double x)
 	    return log1p(t+sqrt(2.0*t+t*t));
 	}
 }
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(acosh, acoshl);
+#endif
diff --git a/lib/msun/src/e_acoshl.c b/lib/msun/src/e_acoshl.c
new file mode 100644
index 0000000..b9f3aed
--- /dev/null
+++ b/lib/msun/src/e_acoshl.c
@@ -0,0 +1,89 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)e_acosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_acosh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_LARGE is the threshold above which we use acosh(x) ~= log(2x). */
+#if LDBL_MANT_DIG == 64
+#define	EXP_LARGE	34
+#elif LDBL_MANT_DIG == 113
+#define	EXP_LARGE	58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+
+static const double
+one	= 1.0;
+
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 =  LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define	ln2	u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 =  6.93147180559945309417232121458176568e-1L;	/* 0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+acoshl(long double x)
+{
+	long double t;
+	int16_t hx;
+
+	ENTERI();
+	GET_LDBL_EXPSIGN(hx, x);
+	if (hx < 0x3fff) {		/* x < 1, or misnormal */
+	    RETURNI((x-x)/(x-x));
+	} else if (hx >= BIAS + EXP_LARGE) { /* x >= LARGE */
+	    if (hx >= 0x7fff) {		/* x is inf, NaN or misnormal */
+	        RETURNI(x+x);
+	    } else 
+		RETURNI(logl(x)+ln2);	/* acosh(huge)=log(2x), or misnormal */
+	} else if (hx == 0x3fff && x == 1) {
+	    RETURNI(0.0);		/* acosh(1) = 0 */
+	} else if (hx >= 0x4000) {	/* LARGE > x >= 2, or misnormal */
+	    t=x*x;
+	    RETURNI(logl(2.0*x-one/(x+sqrtl(t-one))));
+	} else {			/* 1<x<2 */
+	    t = x-one;
+	    RETURNI(log1pl(t+sqrtl(2.0*t+t*t)));
+	}
+}
diff --git a/lib/msun/src/e_atanh.c b/lib/msun/src/e_atanh.c
index ab8a2e1..422ff26 100644
--- a/lib/msun/src/e_atanh.c
+++ b/lib/msun/src/e_atanh.c
@@ -33,6 +33,8 @@ __FBSDID("$FreeBSD$");
  *
  */
 
+#include <float.h>
+
 #include "math.h"
 #include "math_private.h"
 
@@ -60,3 +62,7 @@ __ieee754_atanh(double x)
 	    t = 0.5*log1p((x+x)/(one-x));
 	if(hx>=0) return t; else return -t;
 }
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(atanh, atanhl);
+#endif
diff --git a/lib/msun/src/e_atanhl.c b/lib/msun/src/e_atanhl.c
new file mode 100644
index 0000000..11d56ea
--- /dev/null
+++ b/lib/msun/src/e_atanhl.c
@@ -0,0 +1,74 @@
+/* from: FreeBSD: head/lib/msun/src/e_atanh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)e_atanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_atanh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_TINY is the threshold below which we use atanh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define	EXP_TINY	-34
+#elif LDBL_MANT_DIG == 113
+#define	EXP_TINY	-58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+
+static const double one = 1.0, huge = 1e300;
+static const double zero = 0.0;
+
+long double
+atanhl(long double x)
+{
+	long double t;
+	uint16_t hx, ix;
+
+	ENTERI();
+	GET_LDBL_EXPSIGN(hx, x);
+	ix = hx & 0x7fff;
+	if (ix >= 0x3fff)		/* |x| >= 1, or NaN or misnormal */
+	    RETURNI(fabsl(x) == 1 ? x / zero : (x - x) / (x - x));
+	if (ix < BIAS + EXP_TINY && (huge + x) > zero)
+	    RETURNI(x);			/* x is tiny */
+	SET_LDBL_EXPSIGN(x, ix);
+	if (ix < 0x3ffe) {		/* |x| < 0.5, or misnormal */
+	    t = x+x;
+	    t = 0.5*log1pl(t+t*x/(one-x));
+	} else 
+	    t = 0.5*log1pl((x+x)/(one-x));
+	RETURNI((hx & 0x8000) == 0 ? t : -t);
+}
diff --git a/lib/msun/src/math.h b/lib/msun/src/math.h
index 8d0d478..d831f15 100644
--- a/lib/msun/src/math.h
+++ b/lib/msun/src/math.h
@@ -395,9 +395,12 @@ float	significandf(float);
  * long double versions of ISO/POSIX math functions
  */
 #if __ISO_C_VISIBLE >= 1999
+long double	acoshl(long double);
 long double	acosl(long double);
+long double	asinhl(long double);
 long double	asinl(long double);
 long double	atan2l(long double, long double);
+long double	atanhl(long double);
 long double	atanl(long double);
 long double	cbrtl(long double);
 long double	ceill(long double);
@@ -461,9 +464,6 @@ __END_DECLS
  */
 __BEGIN_DECLS
 
-long double	acoshl(long double);
-long double	asinhl(long double);
-long double	atanhl(long double);
 long double	coshl(long double);
 long double	erfcl(long double);
 long double	erfl(long double);
diff --git a/lib/msun/src/s_asinh.c b/lib/msun/src/s_asinh.c
index f3fdf74..cbb3d46 100644
--- a/lib/msun/src/s_asinh.c
+++ b/lib/msun/src/s_asinh.c
@@ -24,6 +24,8 @@ __FBSDID("$FreeBSD$");
  *		 := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
  */
 
+#include <float.h>
+
 #include "math.h"
 #include "math_private.h"
 
@@ -54,3 +56,7 @@ asinh(double x)
 	}
 	if(hx>0) return w; else return -w;
 }
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(asinh, asinhl);
+#endif
diff --git a/lib/msun/src/s_asinhl.c b/lib/msun/src/s_asinhl.c
new file mode 100644
index 0000000..ba28f59
--- /dev/null
+++ b/lib/msun/src/s_asinhl.c
@@ -0,0 +1,91 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)s_asinh.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.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See s_asinh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */
+/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define	EXP_LARGE	34
+#define	EXP_TINY	-34
+#elif LDBL_MANT_DIG == 113
+#define	EXP_LARGE	58
+#define	EXP_TINY	-58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+
+static const double
+one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+huge=  1.00000000000000000000e+300;
+
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 =  LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define	ln2	u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 =  6.93147180559945309417232121458176568e-1L;	/* 0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+asinhl(long double x)
+{
+	long double t, w;
+	uint16_t hx, ix;
+
+	ENTERI();
+	GET_LDBL_EXPSIGN(hx, x);
+	ix = hx & 0x7fff;
+	if (ix >= 0x7fff) RETURNI(x+x);	/* x is inf, NaN or misnormal */
+	if (ix < BIAS + EXP_TINY) {	/* |x| < TINY, or misnormal */
+	    if (huge + x > one) RETURNI(x);	/* return x inexact except 0 */
+	}
+	if (ix >= BIAS + EXP_LARGE) {	/* |x| >= LARGE, or misnormal */
+	    w = logl(fabsl(x))+ln2;
+	} else if (ix >= 0x4000) {	/* LARGE > |x| >= 2.0, or misnormal */
+	    t = fabsl(x);
+	    w = logl(2.0*t+one/(sqrtl(x*x+one)+t));
+	} else {		/* 2.0 > |x| >= TINY, or misnormal */
+	    t = x*x;
+	    w =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
+	}
+	RETURNI((hx & 0x8000) == 0 ? w : -w);
+}