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-rw-r--r--sysdeps/libm-ieee754/e_coshf.c10
-rw-r--r--sysdeps/libm-ieee754/e_expf.c12
-rw-r--r--sysdeps/libm-ieee754/e_hypot.c24
-rw-r--r--sysdeps/libm-ieee754/e_hypotf.c6
-rw-r--r--sysdeps/libm-ieee754/e_hypotl.c133
-rw-r--r--sysdeps/libm-ieee754/e_powf.c4
-rw-r--r--sysdeps/libm-ieee754/e_sinhl.c91
7 files changed, 252 insertions, 28 deletions
diff --git a/sysdeps/libm-ieee754/e_coshf.c b/sysdeps/libm-ieee754/e_coshf.c
index e6f4ed6f37..223fbeea20 100644
--- a/sysdeps/libm-ieee754/e_coshf.c
+++ b/sysdeps/libm-ieee754/e_coshf.c
@@ -8,20 +8,20 @@
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
 
 #if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_coshf.c,v 1.5 1995/05/10 20:45:01 jtc Exp $";
+static char rcsid[] = "$NetBSD: e_coshf.c,v 1.6 1996/04/08 15:43:41 phil Exp $";
 #endif
 
 #include "math.h"
 #include "math_private.h"
 
 #ifdef __STDC__
-static const volatile float huge = 1.0e30;
+static const float huge = 1.0e30;
 static const float one = 1.0, half=0.5;
 #else
 static float one = 1.0, half=0.5, huge = 1.0e30;
@@ -33,7 +33,7 @@ static float one = 1.0, half=0.5, huge = 1.0e30;
 	float __ieee754_coshf(x)
 	float x;
 #endif
-{	
+{
 	float t,w;
 	int32_t ix;
 
@@ -41,7 +41,7 @@ static float one = 1.0, half=0.5, huge = 1.0e30;
 	ix &= 0x7fffffff;
 
     /* x is INF or NaN */
-	if(ix>=0x7f800000) return x*x;	
+	if(ix>=0x7f800000) return x*x;
 
     /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
 	if(ix<0x3eb17218) {
diff --git a/sysdeps/libm-ieee754/e_expf.c b/sysdeps/libm-ieee754/e_expf.c
index 80af17918f..fbf2691bf9 100644
--- a/sysdeps/libm-ieee754/e_expf.c
+++ b/sysdeps/libm-ieee754/e_expf.c
@@ -8,19 +8,19 @@
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
 
 #if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_expf.c,v 1.5 1995/05/10 20:45:05 jtc Exp $";
+static char rcsid[] = "$NetBSD: e_expf.c,v 1.6 1996/04/08 15:43:43 phil Exp $";
 #endif
 
 #include "math.h"
 #include "math_private.h"
 
-static const volatile float huge = 1.0e+30;
+static const float huge = 1.0e+30;
 
 #ifdef __STDC__
 static const float
@@ -69,7 +69,7 @@ P5   =  4.1381369442e-08; /* 0x3331bb4c */
 	}
 
     /* argument reduction */
-	if(hx > 0x3eb17218) {		/* if  |x| > 0.5 ln2 */ 
+	if(hx > 0x3eb17218) {		/* if  |x| > 0.5 ln2 */
 	    if(hx < 0x3F851592) {	/* and |x| < 1.5 ln2 */
 		hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
 	    } else {
@@ -79,7 +79,7 @@ P5   =  4.1381369442e-08; /* 0x3331bb4c */
 		lo = t*ln2LO[0];
 	    }
 	    x  = hi - lo;
-	} 
+	}
 	else if(hx < 0x31800000)  {	/* when |x|<2**-28 */
 	    if(huge+x>one) return one+x;/* trigger inexact */
 	}
@@ -88,7 +88,7 @@ P5   =  4.1381369442e-08; /* 0x3331bb4c */
     /* x is now in primary range */
 	t  = x*x;
 	c  = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
-	if(k==0) 	return one-((x*c)/(c-(float)2.0)-x); 
+	if(k==0) 	return one-((x*c)/(c-(float)2.0)-x);
 	else 		y = one-((lo-(x*c)/((float)2.0-c))-hi);
 	if(k >= -125) {
 	    u_int32_t hy;
diff --git a/sysdeps/libm-ieee754/e_hypot.c b/sysdeps/libm-ieee754/e_hypot.c
index 24c8ae452f..76a77ec33a 100644
--- a/sysdeps/libm-ieee754/e_hypot.c
+++ b/sysdeps/libm-ieee754/e_hypot.c
@@ -5,7 +5,7 @@
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
@@ -16,12 +16,12 @@ static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
 
 /* __ieee754_hypot(x,y)
  *
- * Method :                  
- *	If (assume round-to-nearest) z=x*x+y*y 
- *	has error less than sqrt(2)/2 ulp, than 
+ * Method :
+ *	If (assume round-to-nearest) z=x*x+y*y
+ *	has error less than sqrt(2)/2 ulp, than
  *	sqrt(z) has error less than 1 ulp (exercise).
  *
- *	So, compute sqrt(x*x+y*y) with some care as 
+ *	So, compute sqrt(x*x+y*y) with some care as
  *	follows to get the error below 1 ulp:
  *
  *	Assume x>y>0;
@@ -31,10 +31,10 @@ static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
  *	where x1 = x with lower 32 bits cleared, x2 = x-x1; else
  *	2. if x <= 2y use
  *		t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
- *	where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, 
+ *	where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
  *	y1= y with lower 32 bits chopped, y2 = y-y1.
- *		
- *	NOTE: scaling may be necessary if some argument is too 
+ *
+ *	NOTE: scaling may be necessary if some argument is too
  *	      large or too tiny
  *
  * Special cases:
@@ -42,8 +42,8 @@ static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
  *	hypot(x,y) is NAN if x or y is NAN.
  *
  * Accuracy:
- * 	hypot(x,y) returns sqrt(x^2+y^2) with error less 
- * 	than 1 ulps (units in the last place) 
+ * 	hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * 	than 1 ulps (units in the last place)
  */
 
 #include "math.h"
@@ -56,7 +56,7 @@ static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
 	double x, y;
 #endif
 {
-	double a=x,b=y,t1,t2,y1,y2,w;
+	double a,b,t1,t2,y1,y2,w;
 	int32_t j,k,ha,hb;
 
 	GET_HIGH_WORD(ha,x);
@@ -84,7 +84,7 @@ static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
 	   SET_HIGH_WORD(b,hb);
 	}
 	if(hb < 0x20b00000) {	/* b < 2**-500 */
-	    if(hb <= 0x000fffff) {	/* subnormal b or 0 */	
+	    if(hb <= 0x000fffff) {	/* subnormal b or 0 */
 	        u_int32_t low;
 		GET_LOW_WORD(low,b);
 		if((hb|low)==0) return a;
diff --git a/sysdeps/libm-ieee754/e_hypotf.c b/sysdeps/libm-ieee754/e_hypotf.c
index 434cf94e8d..d6b1520cb8 100644
--- a/sysdeps/libm-ieee754/e_hypotf.c
+++ b/sysdeps/libm-ieee754/e_hypotf.c
@@ -8,7 +8,7 @@
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
@@ -27,7 +27,7 @@ static char rcsid[] = "$NetBSD: e_hypotf.c,v 1.5 1995/05/12 04:57:30 jtc Exp $";
 	float x, y;
 #endif
 {
-	float a=x,b=y,t1,t2,y1,y2,w;
+	float a,b,t1,t2,y1,y2,w;
 	int32_t j,k,ha,hb;
 
 	GET_FLOAT_WORD(ha,x);
@@ -52,7 +52,7 @@ static char rcsid[] = "$NetBSD: e_hypotf.c,v 1.5 1995/05/12 04:57:30 jtc Exp $";
 	   SET_FLOAT_WORD(b,hb);
 	}
 	if(hb < 0x26800000) {	/* b < 2**-50 */
-	    if(hb <= 0x007fffff) {	/* subnormal b or 0 */	
+	    if(hb <= 0x007fffff) {	/* subnormal b or 0 */
 	        if(hb==0) return a;
 		SET_FLOAT_WORD(t1,0x3f000000);	/* t1=2^126 */
 		b *= t1;
diff --git a/sysdeps/libm-ieee754/e_hypotl.c b/sysdeps/libm-ieee754/e_hypotl.c
new file mode 100644
index 0000000000..1a40c556dc
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_hypotl.c
@@ -0,0 +1,133 @@
+/* e_hypotl.c -- long double version of e_hypot.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_hypotl(x,y)
+ *
+ * Method :
+ *	If (assume round-to-nearest) z=x*x+y*y
+ *	has error less than sqrt(2)/2 ulp, than
+ *	sqrt(z) has error less than 1 ulp (exercise).
+ *
+ *	So, compute sqrt(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 32 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 32 bits cleared, t2 = 2x-t1,
+ *	y1= y with lower 32 bits chopped, y2 = y-y1.
+ *
+ *	NOTE: scaling may be necessary if some argument is too
+ *	      large or too tiny
+ *
+ * Special cases:
+ *	hypot(x,y) is INF if x or y is +INF or -INF; else
+ *	hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * 	hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * 	than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#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;
+	u_int32_t j,k,ea,eb;
+
+	GET_LDOUBLE_EXP(ea,x);
+	ea &= 0x7fff;
+	GET_LDOUBLE_EXP(eb,y);
+	eb &= 0x7fff;
+	if(eb > ea) {a=y;b=x;j=ea; ea=eb;eb=j;} else {a=x;b=y;}
+	SET_LDOUBLE_EXP(a,ea);	/* a <- |a| */
+	SET_LDOUBLE_EXP(b,eb);	/* b <- |b| */
+	if((ea-eb)>0x46) {return a+b;} /* x/y > 2**70 */
+	k=0;
+	if(ea > 0x5f3f) {	/* a>2**8000 */
+	   if(ea == 0x7fff) {	/* Inf or NaN */
+	       u_int32_t exp,high,low;
+	       w = a+b;			/* for sNaN */
+	       GET_LDOUBLE_WORDS(exp,high,low,a);
+	       if(((high&0x7fffffff)|low)==0) w = a;
+	       GET_LDOUBLE_WORDS(exp,high,low,b);
+	       if(((eb^0x7fff)|(high&0x7fffffff)|low)==0) w = b;
+	       return w;
+	   }
+	   /* scale a and b by 2**-9600 */
+	   ea -= 0x2580; eb -= 0x2580;	k += 9600;
+	   SET_LDOUBLE_EXP(a,ea);
+	   SET_LDOUBLE_EXP(b,eb);
+	}
+	if(eb < 0x20bf) {	/* b < 2**-8000 */
+	    if(eb == 0) {	/* subnormal b or 0 */
+	        u_int32_t exp,high,low;
+		GET_LDOUBLE_WORDS(exp,high,low,b);
+		if((high|low)==0) return a;
+		SET_LDOUBLE_WORDS(t1, 0x7ffd, 0, 0);	/* t1=2^16382 */
+		b *= t1;
+		a *= t1;
+		k -= 16382;
+	    } else {		/* scale a and b by 2^9600 */
+	        ea += 0x2580; 	/* a *= 2^9600 */
+		eb += 0x2580;	/* b *= 2^9600 */
+		k -= 9600;
+		SET_LDOUBLE_EXP(a,ea);
+		SET_LDOUBLE_EXP(b,eb);
+	    }
+	}
+    /* medium size a and b */
+	w = a-b;
+	if (w>b) {
+	    u_int32_t high;
+	    GET_LDOUBLE_MSW(high,a);
+	    SET_LDOUBLE_WORDS(t1,ea,high,0);
+	    t2 = a-t1;
+	    w  = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+	} else {
+	    u_int32_t high;
+	    GET_LDOUBLE_MSW(high,b);
+	    a  = a+a;
+	    SET_LDOUBLE_WORDS(y1,eb,high,0);
+	    y2 = b - y1;
+	    GET_LDOUBLE_MSW(high,a);
+	    SET_LDOUBLE_WORDS(t1,ea+1,high,0);
+	    t2 = a - t1;
+	    w  = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+	}
+	if(k!=0) {
+	    u_int32_t exp;
+	    t1 = 1.0;
+	    GET_LDOUBLE_EXP(exp,t1);
+	    SET_LDOUBLE_EXP(t1,exp+k);
+	    return t1*w;
+	} else return w;
+}
diff --git a/sysdeps/libm-ieee754/e_powf.c b/sysdeps/libm-ieee754/e_powf.c
index 1358555128..4798340c84 100644
--- a/sysdeps/libm-ieee754/e_powf.c
+++ b/sysdeps/libm-ieee754/e_powf.c
@@ -14,13 +14,13 @@
  */
 
 #if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_powf.c,v 1.6 1995/05/12 04:57:35 jtc Exp $";
+static char rcsid[] = "$NetBSD: e_powf.c,v 1.7 1996/04/08 15:43:44 phil Exp $";
 #endif
 
 #include "math.h"
 #include "math_private.h"
 
-static const volatile float huge = 1.0e+30, tiny = 1.0e-30;
+static const float huge = 1.0e+30, tiny = 1.0e-30;
 
 #ifdef __STDC__
 static const float
diff --git a/sysdeps/libm-ieee754/e_sinhl.c b/sysdeps/libm-ieee754/e_sinhl.c
new file mode 100644
index 0000000000..2d98562f94
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_sinhl.c
@@ -0,0 +1,91 @@
+/* e_asinhl.c -- long double version of e_asinh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * 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: $";
+#endif
+
+/* __ieee754_sinhl(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ *	1. Replace x by |x| (sinhl(-x) = -sinhl(x)).
+ *	2.
+ *		                                     E + E/(E+1)
+ *	    0        <= x <= 25     :  sinhl(x) := --------------, E=expm1l(x)
+ *			       			         2
+ *
+ *	    25       <= x <= lnovft :  sinhl(x) := expl(x)/2
+ *	    lnovft   <= x <= ln2ovft:  sinhl(x) := expl(x/2)/2 * expl(x/2)
+ *	    ln2ovft  <  x	    :  sinhl(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ *	sinhl(x) is |x| if x is +INF, -INF, or NaN.
+ *	only sinhl(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, shuge = 1.0e4931L;
+#else
+static long double one = 1.0, shuge = 1.0e4931L;
+#endif
+
+#ifdef __STDC__
+	long double __ieee754_sinhl(long double x)
+#else
+	long double __ieee754_sinhl(x)
+	long double x;
+#endif
+{
+	long double t,w,h;
+	u_int32_t jx,ix,i0,i1;
+
+    /* Words of |x|. */
+	GET_LDOUBLE_WORDS(jx,i0,i1,x);
+	ix = jx&0x7fff;
+
+    /* x is INF or NaN */
+	if(ix==0x7fff) return x+x;
+
+	h = 0.5;
+	if (jx<0) h = -h;
+    /* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */
+	if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x|<25 */
+	    if (ix<0x3fe3) 		/* |x|<2**-28 */
+		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+	    t = __expm1l(fabsl(x));
+	    if(ix<0x3fff) return h*(2.0*t-t*t/(t+one));
+	    return h*(t+t/(t+one));
+	}
+
+    /* |x| in [25, log(maxdouble)] return 0.5*exp(|x|) */
+	if (ix < 0x400c || (ix == 0x400c && i0 < 0xb17217f7))
+		return h*__ieee754_expl(fabsl(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	if (ix<0x400c || (ix == 0x400c && (i0 < 0xb174ddc0
+					   || (i0 == 0xb174ddc0
+					       && i1 <= 0x31aec0ea)))) {
+	    w = __ieee754_expl(0.5*fabsl(x));
+	    t = h*w;
+	    return t*w;
+	}
+
+    /* |x| > overflowthresold, sinhl(x) overflow */
+	return x*shuge;
+}
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-11-11 14:19:29 +0000