[PATCH] Recent libm additions

[Steve Kargl]

Version 2.  After applying the patch, one can

% svn delete libm/msun/src/polevll.c
% svn commit libm/msun/src/polevll.c

* lib/msun/Makefile:
  . Remove polevll.c

* lib/msun/ld80/e_powl.c:
  . Copy contents of polevll.c to here.  This is the only consumer of 
    these functions.  Make functions 'static inline'.
  . Make reducl a 'static inline' function.
 
* lib/msun/man/exp.3:
  . Remove BUGS section that no longer applies.

* lib/msun/src/math_private.h:
  . Remove prototypes of __p1evll() and __polevll()

* lib/msun/src/s_cpow.c:
* lib/msun/src/s_cpowf.c:
* lib/msun/src/s_cpowl.c
  . Use the CMPLX macro from either C99 or math_private.h (depends of
    compiler support) instead of the problematic use of complex I.

Index: lib/msun/Makefile
===================================================================
--- lib/msun/Makefile	(revision 336360)
+++ lib/msun/Makefile	(working copy)
@@ -17,6 +17,8 @@
 
 .include "${ARCH_SUBDIR}/Makefile.inc"
 
+CFLAGS+=-msse
+
 .PATH:	${.CURDIR}/${ARCH_SUBDIR}
 .if ${MACHINE_CPUARCH} == "i386" || ${MACHINE_CPUARCH} == "amd64"
 .PATH:	${.CURDIR}/x86
@@ -56,7 +58,6 @@
 	imprecise.c \
 	k_cos.c k_cosf.c k_exp.c k_expf.c k_rem_pio2.c k_sin.c k_sinf.c \
 	k_tan.c k_tanf.c \
-	polevll.c \
 	s_asinh.c s_asinhf.c s_atan.c s_atanf.c s_carg.c s_cargf.c s_cargl.c \
 	s_cbrt.c s_cbrtf.c s_ceil.c s_ceilf.c s_clog.c s_clogf.c \
 	s_copysign.c s_copysignf.c s_cos.c s_cosf.c \
Index: lib/msun/ld80/e_powl.c
===================================================================
--- lib/msun/ld80/e_powl.c	(revision 336360)
+++ lib/msun/ld80/e_powl.c	(working copy)
@@ -14,6 +14,52 @@
  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
  */
 
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * Polynomial evaluator:
+ *  P[0] x^n  +  P[1] x^(n-1)  +  ...  +  P[n]
+ */
+static inline long double
+__polevll(long double x, long double *PP, int n)
+{
+	long double y;
+	long double *P;
+
+	P = PP;
+	y = *P++;
+	do {
+		y = y * x + *P++;
+	} while (--n);
+
+	return (y);
+}
+
+/*
+ * Polynomial evaluator:
+ *  x^n  +  P[0] x^(n-1)  +  P[1] x^(n-2)  +  ...  +  P[n]
+ */
+static inline long double
+__p1evll(long double x, long double *PP, int n)
+{
+	long double y;
+	long double *P;
+
+	P = PP;
+	n -= 1;
+	y = x + *P++;
+	do {
+		y = y * x + *P++;
+	} while (--n);
+
+	return (y);
+}
+
 /*							powl.c
  *
  *	Power function, long double precision
@@ -467,7 +513,7 @@
 
 
 /* Find a multiple of 1/NXT that is within 1/NXT of x. */
-static long double
+static inline long double
 reducl(long double x)
 {
 long double t;
Index: lib/msun/man/exp.3
===================================================================
--- lib/msun/man/exp.3	(revision 336360)
+++ lib/msun/man/exp.3	(working copy)
@@ -180,16 +180,9 @@
 then \*(Na**0 = 1 too because x**0 = 1 for all finite
 and infinite x, i.e., independently of x.
 .El
-.Sh BUGS
-To conform with newer C/C++ standards, a stub implementation for
-.Nm powl
-was committed to the math library, where
-.Nm powl
-is mapped to
-.Nm pow .
-Thus, the numerical accuracy is at most that of the 53-bit double
-precision implementation.
 .Sh SEE ALSO
+.Xr clog 3
+.Xr cpow 3
 .Xr fenv 3 ,
 .Xr ldexp 3 ,
 .Xr log 3 ,
Index: lib/msun/src/math_private.h
===================================================================
--- lib/msun/src/math_private.h	(revision 336360)
+++ lib/msun/src/math_private.h	(working copy)
@@ -828,7 +828,4 @@
 long double __kernel_cosl(long double, long double);
 long double __kernel_tanl(long double, long double, int);
 
-long double __p1evll(long double, void *, int);
-long double __polevll(long double, void *, int);
-
 #endif /* !_MATH_PRIVATE_H_ */
Index: lib/msun/src/s_cpow.c
===================================================================
--- lib/msun/src/s_cpow.c	(revision 336360)
+++ lib/msun/src/s_cpow.c	(working copy)
@@ -60,7 +60,7 @@
 	y = cimag (z);
 	absa = cabs (a);
 	if (absa == 0.0) {
-		return (0.0 + 0.0 * I);
+		return (CMPLX(0.0, 0.0));
 	}
 	arga = carg (a);
 	r = pow (absa, x);
@@ -69,6 +69,6 @@
 		r = r * exp (-y * arga);
 		theta = theta + y * log (absa);
 	}
-	w = r * cos (theta) + (r * sin (theta)) * I;
+	w = CMPLX(r * cos (theta),  r * sin (theta));
 	return (w);
 }
Index: lib/msun/src/s_cpowf.c
===================================================================
--- lib/msun/src/s_cpowf.c	(revision 336360)
+++ lib/msun/src/s_cpowf.c	(working copy)
@@ -59,7 +59,7 @@
 	y = cimagf(z);
 	absa = cabsf (a);
 	if (absa == 0.0f) {
-		return (0.0f + 0.0f * I);
+		return (CMPLXF(0.0f, 0.0f));
 	}
 	arga = cargf (a);
 	r = powf (absa, x);
@@ -68,6 +68,6 @@
 		r = r * expf (-y * arga);
 		theta = theta + y * logf (absa);
 	}
-	w = r * cosf (theta) + (r * sinf (theta)) * I;
+	w = CMPLXF(r * cosf (theta), r * sinf (theta));
 	return (w);
 }
Index: lib/msun/src/s_cpowl.c
===================================================================
--- lib/msun/src/s_cpowl.c	(revision 336360)
+++ lib/msun/src/s_cpowl.c	(working copy)
@@ -59,7 +59,7 @@
 	y = cimagl(z);
 	absa = cabsl(a);
 	if (absa == 0.0L) {
-		return (0.0L + 0.0L * I);
+		return (CMPLXL(0.0L, 0.0L));
 	}
 	arga = cargl(a);
 	r = powl(absa, x);
@@ -68,6 +68,6 @@
 		r = r * expl(-y * arga);
 		theta = theta + y * logl(absa);
 	}
-	w = r * cosl(theta) + (r * sinl(theta)) * I;
+	w = CMPLXL(r * cosl(theta), r * sinl(theta));
 	return (w);
 }
-- 
Steve