Import entire msun from FreeBSD.

Makefile

@@ -0,0 +1,212 @@
+#  @(#)Makefile 5.1beta 93/09/24
+# $FreeBSD: src/lib/msun/Makefile,v 1.112 2011/10/21 06:27:56 das Exp $
+#
+#  ====================================================
+#  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 ${MACHINE_CPUARCH} == "i386"
+ARCH_SUBDIR= i387
+.else
+ARCH_SUBDIR= ${MACHINE_CPUARCH}
+.endif
+
+.include "${ARCH_SUBDIR}/Makefile.inc"
+
+.PATH:	${.CURDIR}/${ARCH_SUBDIR}
+
+# long double format
+.if ${LDBL_PREC} == 64
+.PATH:  ${.CURDIR}/ld80
+CFLAGS+=	-I${.CURDIR}/ld80
+.elif ${LDBL_PREC} == 113
+.PATH:  ${.CURDIR}/ld128
+CFLAGS+=	-I${.CURDIR}/ld128
+.endif
+
+.PATH:	${.CURDIR}/bsdsrc
+.PATH:	${.CURDIR}/src
+.PATH:	${.CURDIR}/man
+
+LIB=	m
+SHLIBDIR?= /lib
+SHLIB_MAJOR= 5
+WARNS?=	1
+COMMON_SRCS= b_exp.c b_log.c b_tgamma.c \
+	e_acos.c e_acosf.c e_acosh.c e_acoshf.c e_asin.c e_asinf.c \
+	e_atan2.c e_atan2f.c e_atanh.c e_atanhf.c e_cosh.c e_coshf.c e_exp.c \
+	e_expf.c e_fmod.c e_fmodf.c e_gamma.c e_gamma_r.c e_gammaf.c \
+	e_gammaf_r.c e_hypot.c e_hypotf.c e_j0.c e_j0f.c e_j1.c e_j1f.c \
+	e_jn.c e_jnf.c e_lgamma.c e_lgamma_r.c e_lgammaf.c e_lgammaf_r.c \
+	e_log.c e_log10.c e_log10f.c e_log2.c e_log2f.c e_logf.c \
+	e_pow.c e_powf.c e_rem_pio2.c \
+	e_rem_pio2f.c e_remainder.c e_remainderf.c e_scalb.c e_scalbf.c \
+	e_sinh.c e_sinhf.c e_sqrt.c e_sqrtf.c fenv.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 \
+	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_copysign.c s_copysignf.c s_cos.c s_cosf.c \
+	s_csqrt.c s_csqrtf.c s_erf.c s_erff.c \
+	s_exp2.c s_exp2f.c s_expm1.c s_expm1f.c s_fabsf.c s_fdim.c \
+	s_finite.c s_finitef.c \
+	s_floor.c s_floorf.c s_fma.c s_fmaf.c \
+	s_fmax.c s_fmaxf.c s_fmaxl.c s_fmin.c \
+	s_fminf.c s_fminl.c s_frexp.c s_frexpf.c s_ilogb.c s_ilogbf.c \
+	s_ilogbl.c s_isfinite.c s_isnan.c s_isnormal.c \
+	s_llrint.c s_llrintf.c s_llround.c s_llroundf.c s_llroundl.c \
+	s_log1p.c s_log1pf.c s_logb.c s_logbf.c s_lrint.c s_lrintf.c \
+	s_lround.c s_lroundf.c s_lroundl.c s_modff.c \
+	s_nan.c s_nearbyint.c s_nextafter.c s_nextafterf.c \
+	s_nexttowardf.c s_remquo.c s_remquof.c \
+	s_rint.c s_rintf.c s_round.c s_roundf.c s_roundl.c \
+	s_scalbln.c s_scalbn.c s_scalbnf.c s_signbit.c \
+	s_signgam.c s_significand.c s_significandf.c s_sin.c s_sinf.c \
+	s_tan.c s_tanf.c s_tanh.c s_tanhf.c s_tgammaf.c s_trunc.c s_truncf.c \
+	w_cabs.c w_cabsf.c w_drem.c w_dremf.c
+
+# Location of fpmath.h and _fpmath.h
+LIBCDIR=	${.CURDIR}/../libc
+.if exists(${LIBCDIR}/${MACHINE_ARCH})
+LIBC_ARCH=${MACHINE_ARCH}
+.else
+LIBC_ARCH=${MACHINE_CPUARCH}
+.endif
+CFLAGS+=	-I${.CURDIR}/src -I${LIBCDIR}/include \
+	-I${LIBCDIR}/${LIBC_ARCH}
+SYM_MAPS+=	${.CURDIR}/Symbol.map
+
+VERSION_DEF=	${LIBCDIR}/Versions.def
+SYMBOL_MAPS=	${SYM_MAPS}
+
+# C99 long double functions
+COMMON_SRCS+=	s_copysignl.c s_fabsl.c s_llrintl.c s_lrintl.c s_modfl.c
+.if ${LDBL_PREC} != 53
+# If long double != double use these; otherwise, we alias the double versions.
+COMMON_SRCS+=	e_acosl.c e_asinl.c e_atan2l.c e_fmodl.c \
+	e_hypotl.c e_remainderl.c e_sqrtl.c \
+	invtrig.c k_cosl.c k_sinl.c k_tanl.c \
+	s_atanl.c s_cbrtl.c s_ceill.c s_cosl.c s_cprojl.c \
+	s_csqrtl.c s_exp2l.c s_floorl.c s_fmal.c \
+	s_frexpl.c s_logbl.c s_nanl.c s_nextafterl.c s_nexttoward.c \
+	s_remquol.c s_rintl.c s_scalbnl.c \
+	s_sinl.c s_tanl.c s_truncl.c w_cabsl.c
+.endif
+
+# C99 complex functions
+COMMON_SRCS+=	s_ccosh.c s_ccoshf.c s_cexp.c s_cexpf.c \
+	s_cimag.c s_cimagf.c s_cimagl.c \
+	s_conj.c s_conjf.c s_conjl.c \
+	s_cproj.c s_cprojf.c s_creal.c s_crealf.c s_creall.c \
+	s_csinh.c s_csinhf.c s_ctanh.c s_ctanhf.c
+
+# FreeBSD's C library supplies these functions:
+#COMMON_SRCS+=	s_fabs.c s_frexp.c s_isnan.c s_ldexp.c s_modf.c
+
+# Exclude the generic versions of what we provide in the MD area.
+.if defined(ARCH_SRCS)
+.for i in ${ARCH_SRCS}
+COMMON_SRCS:=  ${COMMON_SRCS:N${i:R}.c}
+.endfor
+.endif
+
+# Some files need certain gcc built-in functions to be disabled, since gcc's
+# model of the functions bogusly assumes -fno-trapping-math.
+XRINT_CFLAGS=	-fno-builtin-rint -fno-builtin-rintf -fno-builtin-rintl
+CFLAGS+=	${XRINT_CFLAGS}
+XRINT_CFLAGS:=	${.IMPSRC:M*/s_nearbyint.c:C/^.+$/${XRINT_CFLAGS}/:C/^$//}
+
+SRCS=	${COMMON_SRCS} ${ARCH_SRCS}
+
+INCS=	fenv.h math.h
+
+MAN=	acos.3 acosh.3 asin.3 asinh.3 atan.3 atan2.3 atanh.3 \
+	ceil.3 ccos.3 ccosh.3 cexp.3 \
+	cimag.3 copysign.3 cos.3 cosh.3 csqrt.3 erf.3 exp.3 fabs.3 fdim.3 \
+	feclearexcept.3 feenableexcept.3 fegetenv.3 \
+	fegetround.3 fenv.3 floor.3 \
+	fma.3 fmax.3 fmod.3 hypot.3 ieee.3 ieee_test.3 ilogb.3 j0.3 \
+	lgamma.3 log.3 lrint.3 lround.3 math.3 nan.3 \
+	nextafter.3 remainder.3 rint.3 \
+	round.3 scalbn.3 signbit.3 sin.3 sinh.3 sqrt.3 tan.3 tanh.3 trunc.3 \
+	complex.3
+
+MLINKS+=acos.3 acosf.3 acos.3 acosl.3
+MLINKS+=acosh.3 acoshf.3
+MLINKS+=asin.3 asinf.3 asin.3 asinl.3
+MLINKS+=asinh.3 asinhf.3
+MLINKS+=atan.3 atanf.3 atan.3 atanl.3
+MLINKS+=atanh.3 atanhf.3
+MLINKS+=atan2.3 atan2f.3 atan2.3 atan2l.3 \
+	atan2.3 carg.3 atan2.3 cargf.3 atan2.3 cargl.3
+MLINKS+=ccos.3 ccosf.3 ccos.3 csin.3 ccos.3 csinf.3 ccos.3 ctan.3 ccos.3 ctanf.3
+MLINKS+=ccosh.3 ccoshf.3 ccosh.3 csinh.3 ccosh.3 csinhf.3 \
+	ccosh.3 ctanh.3 ccosh.3 ctanhf.3
+MLINKS+=ceil.3 ceilf.3 ceil.3 ceill.3
+MLINKS+=cexp.3 cexpf.3
+MLINKS+=cimag.3 cimagf.3 cimag.3 cimagl.3 \
+	cimag.3 conj.3 cimag.3 conjf.3 cimag.3 conjl.3 \
+	cimag.3 cproj.3 cimag.3 cprojf.3 cimag.3 cprojl.3 \
+	cimag.3 creal.3 cimag.3 crealf.3 cimag.3 creall.3
+MLINKS+=copysign.3 copysignf.3 copysign.3 copysignl.3
+MLINKS+=cos.3 cosf.3 cos.3 cosl.3
+MLINKS+=cosh.3 coshf.3
+MLINKS+=csqrt.3 csqrtf.3 csqrt.3 csqrtl.3
+MLINKS+=erf.3 erfc.3 erf.3 erff.3 erf.3 erfcf.3
+MLINKS+=exp.3 expm1.3 exp.3 expm1f.3 exp.3 pow.3 exp.3 powf.3 \
+	exp.3 exp2.3 exp.3 exp2f.3 exp.3 exp2l.3 exp.3 expf.3
+MLINKS+=fabs.3 fabsf.3 fabs.3 fabsl.3
+MLINKS+=fdim.3 fdimf.3 fdim.3 fdiml.3
+MLINKS+=feclearexcept.3 fegetexceptflag.3 feclearexcept.3 feraiseexcept.3 \
+	feclearexcept.3 fesetexceptflag.3 feclearexcept.3 fetestexcept.3
+MLINKS+=feenableexcept.3 fedisableexcept.3 feenableexcept.3 fegetexcept.3
+MLINKS+=fegetenv.3 feholdexcept.3 fegetenv.3 fesetenv.3 \
+	fegetenv.3 feupdateenv.3
+MLINKS+=fegetround.3 fesetround.3
+MLINKS+=floor.3 floorf.3 floor.3 floorl.3
+MLINKS+=fma.3 fmaf.3 fma.3 fmal.3
+MLINKS+=fmax.3 fmaxf.3 fmax.3 fmaxl.3 \
+	fmax.3 fmin.3 fmax.3 fminf.3 fmax.3 fminl.3
+MLINKS+=fmod.3 fmodf.3 fmod.3 fmodl.3
+MLINKS+=hypot.3 cabs.3 hypot.3 cabsf.3 hypot.3 cabsl.3 \
+	hypot.3 hypotf.3 hypot.3 hypotl.3
+MLINKS+=ieee_test.3 scalb.3 ieee_test.3 scalbf.3
+MLINKS+=ieee_test.3 significand.3 ieee_test.3 significandf.3
+MLINKS+=ilogb.3 ilogbf.3 ilogb.3 ilogbl.3 \
+	ilogb.3 logb.3 ilogb.3 logbf.3 ilogb.3 logbl.3
+MLINKS+=j0.3 j1.3 j0.3 jn.3 j0.3 y0.3 j0.3 y1.3 j0.3 y1f.3 j0.3 yn.3
+MLINKS+=j0.3 j0f.3 j0.3 j1f.3 j0.3 jnf.3 j0.3 y0f.3 j0.3 ynf.3
+MLINKS+=lgamma.3 gamma.3 lgamma.3 gammaf.3 lgamma.3 lgammaf.3 \
+	lgamma.3 tgamma.3 lgamma.3 tgammaf.3
+MLINKS+=log.3 log10.3 log.3 log10f.3 log.3 log1p.3 log.3 log1pf.3 log.3 logf.3 log.3 log2.3 log.3 log2f.3
+MLINKS+=lrint.3 llrint.3 lrint.3 llrintf.3 lrint.3 llrintl.3 \
+	lrint.3 lrintf.3 lrint.3 lrintl.3
+MLINKS+=lround.3 llround.3 lround.3 llroundf.3 lround.3 llroundl.3 \
+	lround.3 lroundf.3 lround.3 lroundl.3
+MLINKS+=nan.3 nanf.3 nan.3 nanl.3
+MLINKS+=nextafter.3 nextafterf.3 nextafter.3 nextafterl.3
+MLINKS+=nextafter.3 nexttoward.3 nextafter.3 nexttowardf.3
+MLINKS+=nextafter.3 nexttowardl.3
+MLINKS+=remainder.3 remainderf.3 remainder.3 remainderl.3 \
+	remainder.3 remquo.3 remainder.3 remquof.3 remainder.3 remquol.3
+MLINKS+=rint.3 rintf.3 rint.3 rintl.3 \
+	rint.3 nearbyint.3 rint.3 nearbyintf.3 rint.3 nearbyintl.3
+MLINKS+=round.3 roundf.3 round.3 roundl.3
+MLINKS+=scalbn.3 scalbln.3 scalbn.3 scalblnf.3 scalbn.3 scalblnl.3
+MLINKS+=scalbn.3 scalbnf.3 scalbn.3 scalbnl.3
+MLINKS+=sin.3 sinf.3 sin.3 sinl.3
+MLINKS+=sinh.3 sinhf.3
+MLINKS+=sqrt.3 cbrt.3 sqrt.3 cbrtf.3 sqrt.3 cbrtl.3 sqrt.3 sqrtf.3 \
+	sqrt.3 sqrtl.3
+MLINKS+=tan.3 tanf.3 tan.3 tanl.3
+MLINKS+=tanh.3 tanhf.3
+MLINKS+=trunc.3 truncf.3 trunc.3 truncl.3
+
+.include <bsd.lib.mk>

Symbol.map

@@ -0,0 +1,252 @@
+/*
+ * $FreeBSD: src/lib/msun/Symbol.map,v 1.30 2011/10/17 05:41:03 das Exp $
+ */
+
+/* 7.0-CURRENT */
+FBSD_1.0 {
+	__fe_dfl_env;
+	tgamma;
+	acos;
+	acosf;
+	acosh;
+	acoshf;
+	asin;
+	asinf;
+	atan2;
+	atan2f;
+	atanh;
+	atanhf;
+	cosh;
+	coshf;
+	exp;
+	expf;
+	fmod;
+	fmodf;
+	gamma;
+	gamma_r;
+	gammaf;
+	gammaf_r;
+	hypot;
+	hypotf;
+	j0;
+	y0;
+	j0f;
+	y0f;
+	j1;
+	y1;
+	j1f;
+	y1f;
+	jn;
+	yn;
+	jnf;
+	ynf;
+	lgamma;
+	lgamma_r;
+	lgammaf;
+	lgammaf_r;
+	log;
+	log10;
+	log10f;
+	logf;
+	pow;
+	powf;
+	remainder;
+	remainderf;
+	scalb;
+	scalbf;
+	sinh;
+	sinhf;
+	sqrt;
+	sqrtf;
+	asinh;
+	asinhf;
+	atan;
+	atanf;
+	cbrt;
+	cbrtf;
+	ceil;
+	ceilf;
+	ceill;
+	cimag;
+	cimagf;
+	cimagl;
+	conj;
+	conjf;
+	conjl;
+	copysign;
+	copysignf;
+	copysignl;
+	cos;
+	cosf;
+	creal;
+	crealf;
+	creall;
+	erf;
+	erfc;
+	erff;
+	erfcf;
+	exp2;
+	exp2f;
+	expm1;
+	expm1f;
+	fabs;
+	fabsf;
+	fabsl;
+	fdim;
+	fdimf;
+	fdiml;
+	finite;
+	finitef;
+	floor;
+	floorf;
+	floorl;
+	fma;
+	fmaf;
+	fmal;
+	fmax;
+	fmaxf;
+	fmaxl;
+	fmin;
+	fminf;
+	fminl;
+	frexp;
+	frexpf;
+	frexpl;
+	ilogb;
+	ilogbf;
+	ilogbl;
+	__isfinite;
+	__isfinitef;
+	__isfinitel;
+	isnanf;
+	__isnanl;
+	__isnormal;
+	__isnormalf;
+	__isnormall;
+	llrint;
+	llrintf;
+	llround;
+	llroundf;
+	llroundl;
+	log1p;
+	log1pf;
+	logb;
+	logbf;
+	lrint;
+	lrintf;
+	lround;
+	lroundf;
+	lroundl;
+	modff;
+	modfl;
+	nearbyint;
+	nearbyintf;
+	nextafter;
+	nexttoward;
+	nexttowardl;
+	nextafterl;
+	nextafterf;
+	nexttowardf;
+	remquo;
+	remquof;
+	rint;
+	rintf;
+	round;
+	roundf;
+	roundl;
+	scalbln;
+	scalblnf;
+	scalblnl;
+	scalbn;
+	scalbnl;
+	scalbnf;
+	ldexpf;
+	ldexpl;
+	__signbit;
+	__signbitf;
+	__signbitl;
+	signgam;
+	significand;
+	significandf;
+	sin;
+	sinf;
+	tan;
+	tanf;
+	tanh;
+	tanhf;
+	trunc;
+	truncf;
+	truncl;
+	cabs;
+	cabsf;
+	drem;
+	dremf;
+};
+
+/* First added in 8.0-CURRENT */
+FBSD_1.1 {
+	carg;
+	cargf;
+	csqrt;
+	csqrtf;
+	logbl;
+	nan;
+	nanf;
+	nanl;
+	llrintl;
+	lrintl;
+	nearbyintl;
+	rintl;
+	exp2l;
+	sinl;
+	cosl;
+	tanl;
+	tgammaf;
+	sqrtl;
+	hypotl;
+	cabsl;
+	csqrtl;
+	remquol;
+	remainderl;
+	fmodl;
+	acosl;
+	asinl;
+	atan2l;
+	atanl;
+	cargl;
+	cproj;
+	cprojf;
+	cprojl;
+};
+
+/* First added in 9.0-CURRENT */
+FBSD_1.2 {
+	__isnanf;
+	cbrtl;
+	cexp;
+	cexpf;
+	log2;
+	log2f;
+};
+
+/* First added in 10.0-CURRENT */
+FBSD_1.3 {
+	feclearexcept;
+	fegetexceptflag;
+	fetestexcept;
+	fegetround;
+	fesetround;
+	fesetenv;
+	csin;
+	csinf;
+	csinh;
+	csinhf;
+	ccos;
+	ccosf;
+	ccosh;
+	ccoshf;
+	ctan;
+	ctanf;
+	ctanh;
+	ctanhf;
+};

amd64/FILES

@@ -1,24 +0,0 @@
- Makefile.inc
- Symbol.map
- e_remainder.S
- e_remainderf.S
- e_remainderl.S
- e_sqrt.S
- e_sqrtf.S
- e_sqrtl.S
- fenv.c
- fenv.h
- s_llrint.S
- s_llrintf.S
- s_llrintl.S
- s_logbl.S
- s_lrint.S
- s_lrintf.S
- s_lrintl.S
- s_remquo.S
- s_remquof.S
- s_remquol.S
- s_rintl.S
- s_scalbn.S
- s_scalbnf.S
- s_scalbnl.S

amd64/Symbol.map

@@ -1,5 +1,5 @@
 /*
- * $FreeBSD: src/lib/msun/amd64/Symbol.map,v 1.2 2007/04/29 14:05:21 deischen Exp $
+ * $FreeBSD: src/lib/msun/amd64/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
  */
 FBSD_1.0 {
 	fesetexceptflag;
@@ -7,8 +7,6 @@ FBSD_1.0 {
 	fegetenv;
 	feholdexcept;
 	feupdateenv;
-	__feenableexcept;
-	__fedisableexcept;
 	feenableexcept;
 	fedisableexcept;
 };

amd64/fenv.c

@@ -23,13 +23,19 @@
  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  * SUCH DAMAGE.
  *
- * $FreeBSD: src/lib/msun/amd64/fenv.c,v 1.5 2010/02/03 20:23:47 kib Exp $
+ * $FreeBSD: src/lib/msun/amd64/fenv.c,v 1.8 2011/10/21 06:25:31 das Exp $
  */
 
 #include <sys/cdefs.h>
 #include <sys/types.h>
 #include <machine/fpu.h>
-#include <fenv.h>
+
+#define	__fenv_static
+#include "fenv.h"
+
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
 
 const fenv_t __fe_dfl_env = {
 	{ 0xffff0000 | __INITIAL_FPUCW__,
@@ -41,6 +47,9 @@ const fenv_t __fe_dfl_env = {
 	__INITIAL_MXCSR__
 };
 
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+
 int
 fesetexceptflag(const fexcept_t *flagp, int excepts)
 {
@@ -69,6 +78,10 @@ feraiseexcept(int excepts)
 	return (0);
 }
 
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+
 int
 fegetenv(fenv_t *envp)
 {
@@ -98,6 +111,8 @@ feholdexcept(fenv_t *envp)
 	return (0);
 }
 
+extern inline int fesetenv(const fenv_t *__envp);
+
 int
 feupdateenv(const fenv_t *envp)
 {
@@ -120,12 +135,12 @@ __feenableexcept(int mask)
 	mask &= FE_ALL_EXCEPT;
 	__fnstcw(&control);
 	__stmxcsr(&mxcsr);
-	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
 	control &= ~mask;
 	__fldcw(control);
 	mxcsr &= ~(mask << _SSE_EMASK_SHIFT);
 	__ldmxcsr(mxcsr);
-	return (~omask);
+	return (omask);
 }
 
 int
@@ -137,12 +152,12 @@ __fedisableexcept(int mask)
 	mask &= FE_ALL_EXCEPT;
 	__fnstcw(&control);
 	__stmxcsr(&mxcsr);
-	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
 	control |= mask;
 	__fldcw(control);
 	mxcsr |= mask << _SSE_EMASK_SHIFT;
 	__ldmxcsr(mxcsr);
-	return (~omask);
+	return (omask);
 }
 
 __weak_reference(__feenableexcept, feenableexcept);

amd64/fenv.h

@@ -23,7 +23,7 @@
  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  * SUCH DAMAGE.
  *
- * $FreeBSD: src/lib/msun/amd64/fenv.h,v 1.7 2010/02/03 20:23:47 kib Exp $
+ * $FreeBSD: src/lib/msun/amd64/fenv.h,v 1.8 2011/10/10 15:43:09 das Exp $
  */
 
 #ifndef	_FENV_H_
@@ -32,6 +32,10 @@
 #include <sys/cdefs.h>
 #include <sys/_types.h>
 
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
 typedef struct {
 	struct {
 		__uint32_t	__control;
@@ -89,7 +93,7 @@ extern const fenv_t	__fe_dfl_env;
 #define	__ldmxcsr(__csr)	__asm __volatile("ldmxcsr %0" : : "m" (__csr))
 #define	__stmxcsr(__csr)	__asm __volatile("stmxcsr %0" : "=m" (*(__csr)))
 
-static __inline int
+__fenv_static inline int
 feclearexcept(int __excepts)
 {
 	fenv_t __env;
@@ -107,7 +111,7 @@ feclearexcept(int __excepts)
 	return (0);
 }
 
-static __inline int
+__fenv_static inline int
 fegetexceptflag(fexcept_t *__flagp, int __excepts)
 {
 	__uint32_t __mxcsr;
@@ -122,7 +126,7 @@ fegetexceptflag(fexcept_t *__flagp, int __excepts)
 int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
 int feraiseexcept(int __excepts);
 
-static __inline int
+__fenv_static inline int
 fetestexcept(int __excepts)
 {
 	__uint32_t __mxcsr;
@@ -133,7 +137,7 @@ fetestexcept(int __excepts)
 	return ((__status | __mxcsr) & __excepts);
 }
 
-static __inline int
+__fenv_static inline int
 fegetround(void)
 {
 	__uint16_t __control;
@@ -148,7 +152,7 @@ fegetround(void)
 	return (__control & _ROUND_MASK);
 }
 
-static __inline int
+__fenv_static inline int
 fesetround(int __round)
 {
 	__uint32_t __mxcsr;
@@ -173,7 +177,7 @@ fesetround(int __round)
 int fegetenv(fenv_t *__envp);
 int feholdexcept(fenv_t *__envp);
 
-static __inline int
+__fenv_static inline int
 fesetenv(const fenv_t *__envp)
 {
 
@@ -197,7 +201,8 @@ int feupdateenv(const fenv_t *__envp);
 int feenableexcept(int __mask);
 int fedisableexcept(int __mask);
 
-static __inline int
+/* We currently provide no external definition of fegetexcept(). */
+static inline int
 fegetexcept(void)
 {
 	__uint16_t __control;

arm/Makefile.inc

@@ -0,0 +1,4 @@
+# $FreeBSD: src/lib/msun/arm/Makefile.inc,v 1.2 2006/03/27 23:59:44 deischen Exp $
+
+LDBL_PREC = 53
+SYM_MAPS += ${.CURDIR}/arm/Symbol.map

arm/Symbol.map

@@ -0,0 +1,13 @@
+/*
+ * $FreeBSD: src/lib/msun/arm/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
+ */
+FBSD_1.0 {
+};
+
+FBSD_1.3 {
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+	feupdateenv;
+};

arm/fenv.c

@@ -0,0 +1,52 @@
+/*-
+ * Copyright (c) 2004 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/arm/fenv.c,v 1.3 2011/10/16 05:37:56 das Exp $
+ */
+
+#define	__fenv_static
+#include "fenv.h"
+
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
+
+/*
+ * Hopefully the system ID byte is immutable, so it's valid to use
+ * this as a default environment.
+ */
+const fenv_t __fe_dfl_env = 0;
+
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+extern inline int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+extern inline int feraiseexcept(int __excepts);
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+extern inline int fegetenv(fenv_t *__envp);
+extern inline int feholdexcept(fenv_t *__envp);
+extern inline int fesetenv(const fenv_t *__envp);
+extern inline int feupdateenv(const fenv_t *__envp);

arm/fenv.h

@@ -0,0 +1,223 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/arm/fenv.h,v 1.6 2011/10/10 15:43:09 das Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/_types.h>
+
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
+typedef	__uint32_t	fenv_t;
+typedef	__uint32_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INVALID	0x0001
+#define	FE_DIVBYZERO	0x0002
+#define	FE_OVERFLOW	0x0004
+#define	FE_UNDERFLOW	0x0008
+#define	FE_INEXACT	0x0010
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_INEXACT | \
+			 FE_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_TOWARDZERO	0x0001
+#define	FE_UPWARD	0x0002
+#define	FE_DOWNWARD	0x0003
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+__BEGIN_DECLS
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+/* We need to be able to map status flag positions to mask flag positions */
+#define _FPUSW_SHIFT	16
+#define	_ENABLE_MASK	(FE_ALL_EXCEPT << _FPUSW_SHIFT)
+
+#ifdef	ARM_HARD_FLOAT
+#define	__rfs(__fpsr)	__asm __volatile("rfs %0" : "=r" (*(__fpsr)))
+#define	__wfs(__fpsr)	__asm __volatile("wfs %0" : : "r" (__fpsr))
+#else
+#define __rfs(__fpsr)
+#define __wfs(__fpsr)
+#endif
+
+__fenv_static inline int
+feclearexcept(int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__fpsr &= ~__excepts;
+	__wfs(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	*__flagp = __fpsr & __excepts;
+	return (0);
+}
+
+__fenv_static inline int
+fesetexceptflag(const fexcept_t *__flagp, int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__fpsr &= ~__excepts;
+	__fpsr |= *__flagp & __excepts;
+	__wfs(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+feraiseexcept(int __excepts)
+{
+	fexcept_t __ex = __excepts;
+
+	fesetexceptflag(&__ex, __excepts);	/* XXX */
+	return (0);
+}
+
+__fenv_static inline int
+fetestexcept(int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	return (__fpsr & __excepts);
+}
+
+__fenv_static inline int
+fegetround(void)
+{
+
+	/*
+	 * Apparently, the rounding mode is specified as part of the
+	 * instruction format on ARM, so the dynamic rounding mode is
+	 * indeterminate.  Some FPUs may differ.
+	 */
+	return (-1);
+}
+
+__fenv_static inline int
+fesetround(int __round)
+{
+
+	return (-1);
+}
+
+__fenv_static inline int
+fegetenv(fenv_t *__envp)
+{
+
+	__rfs(__envp);
+	return (0);
+}
+
+__fenv_static inline int
+feholdexcept(fenv_t *__envp)
+{
+	fenv_t __env;
+
+	__rfs(&__env);
+	*__envp = __env;
+	__env &= ~(FE_ALL_EXCEPT | _ENABLE_MASK);
+	__wfs(__env);
+	return (0);
+}
+
+__fenv_static inline int
+fesetenv(const fenv_t *__envp)
+{
+
+	__wfs(*__envp);
+	return (0);
+}
+
+__fenv_static inline int
+feupdateenv(const fenv_t *__envp)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__wfs(*__envp);
+	feraiseexcept(__fpsr & FE_ALL_EXCEPT);
+	return (0);
+}
+
+#if __BSD_VISIBLE
+
+/* We currently provide no external definitions of the functions below. */
+
+static inline int
+feenableexcept(int __mask)
+{
+	fenv_t __old_fpsr, __new_fpsr;
+
+	__rfs(&__old_fpsr);
+	__new_fpsr = __old_fpsr | (__mask & FE_ALL_EXCEPT) << _FPUSW_SHIFT;
+	__wfs(__new_fpsr);
+	return ((__old_fpsr >> _FPUSW_SHIFT) & FE_ALL_EXCEPT);
+}
+
+static inline int
+fedisableexcept(int __mask)
+{
+	fenv_t __old_fpsr, __new_fpsr;
+
+	__rfs(&__old_fpsr);
+	__new_fpsr = __old_fpsr & ~((__mask & FE_ALL_EXCEPT) << _FPUSW_SHIFT);
+	__wfs(__new_fpsr);
+	return ((__old_fpsr >> _FPUSW_SHIFT) & FE_ALL_EXCEPT);
+}
+
+static inline int
+fegetexcept(void)
+{
+	fenv_t __fpsr;
+
+	__rfs(&__fpsr);
+	return ((__fpsr & _ENABLE_MASK) >> _FPUSW_SHIFT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

bsdsrc/FILES

@@ -1,4 +0,0 @@
-b_exp.c
-b_log.c
-b_tgamma.c
-mathimpl.h

bsdsrc/b_exp.c

@@ -33,7 +33,7 @@
 
 /* @(#)exp.c	8.1 (Berkeley) 6/4/93 */
 #include <sys/cdefs.h>
-__FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_exp.c,v 1.8 2008/02/22 02:26:51 das Exp $");
+__FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_exp.c,v 1.9 2011/10/16 05:37:20 das Exp $");
 
 
 /* EXP(X)
@@ -74,16 +74,16 @@ __FBSDID("$FreeBSD: src/lib/msun/bsdsrc/b_exp.c,v 1.8 2008/02/22 02:26:51 das Ex
 
 #include "mathimpl.h"
 
-const static double p1 = 0x1.555555555553ep-3;
-const static double p2 = -0x1.6c16c16bebd93p-9;
-const static double p3 = 0x1.1566aaf25de2cp-14;
-const static double p4 = -0x1.bbd41c5d26bf1p-20;
-const static double p5 = 0x1.6376972bea4d0p-25;
-const static double ln2hi = 0x1.62e42fee00000p-1;
-const static double ln2lo = 0x1.a39ef35793c76p-33;
-const static double lnhuge = 0x1.6602b15b7ecf2p9;
-const static double lntiny = -0x1.77af8ebeae354p9;
-const static double invln2 = 0x1.71547652b82fep0;
+static const double p1 = 0x1.555555555553ep-3;
+static const double p2 = -0x1.6c16c16bebd93p-9;
+static const double p3 = 0x1.1566aaf25de2cp-14;
+static const double p4 = -0x1.bbd41c5d26bf1p-20;
+static const double p5 = 0x1.6376972bea4d0p-25;
+static const double ln2hi = 0x1.62e42fee00000p-1;
+static const double ln2lo = 0x1.a39ef35793c76p-33;
+static const double lnhuge = 0x1.6602b15b7ecf2p9;
+static const double lntiny = -0x1.77af8ebeae354p9;
+static const double invln2 = 0x1.71547652b82fep0;
 
 #if 0
 double exp(x)

i387/FILES

@@ -1,53 +0,0 @@
- Makefile.inc
- Symbol.map
- e_exp.S
- e_fmod.S
- e_log.S
- e_log10.S
- e_log10f.S
- e_logf.S
- e_remainder.S
- e_remainderf.S
- e_remainderl.S
- e_sqrt.S
- e_sqrtf.S
- e_sqrtl.S
- fenv.c
- fenv.h
- invtrig.c
- s_ceil.S
- s_ceilf.S
- s_ceill.S
- s_copysign.S
- s_copysignf.S
- s_copysignl.S
- s_cos.S
- s_finite.S
- s_floor.S
- s_floorf.S
- s_floorl.S
- s_llrint.S
- s_llrintf.S
- s_llrintl.S
- s_logb.S
- s_logbf.S
- s_logbl.S
- s_lrint.S
- s_lrintf.S
- s_lrintl.S
- s_remquo.S
- s_remquof.S
- s_remquol.S
- s_rint.S
- s_rintf.S
- s_rintl.S
- s_scalbn.S
- s_scalbnf.S
- s_scalbnl.S
- s_significand.S
- s_significandf.S
- s_sin.S
- s_tan.S
- s_trunc.S
- s_truncf.S
- s_truncl.S

i387/Symbol.map

@@ -1,5 +1,5 @@
 /*
- * $FreeBSD: src/lib/msun/i387/Symbol.map,v 1.2 2007/04/29 14:05:21 deischen Exp $
+ * $FreeBSD: src/lib/msun/i387/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
  */
 FBSD_1.0 {
 	__has_sse;
@@ -9,8 +9,6 @@ FBSD_1.0 {
 	fegetenv;
 	feholdexcept;
 	feupdateenv;
-	__feenableexcept;
-	__fedisableexcept;
 	feenableexcept;
 	fedisableexcept;
 };

i387/fenv.c

@@ -23,14 +23,20 @@
  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  * SUCH DAMAGE.
  *
- * $FreeBSD: src/lib/msun/i387/fenv.c,v 1.4 2010/02/03 20:23:47 kib Exp $
+ * $FreeBSD: src/lib/msun/i387/fenv.c,v 1.8 2011/10/21 06:25:31 das Exp $
  */
 
 #include <sys/cdefs.h>
 #include <sys/types.h>
 #include <machine/npx.h>
+
+#define	__fenv_static
 #include "fenv.h"
 
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
+
 const fenv_t __fe_dfl_env = {
 	__INITIAL_NPXCW__,
 	0x0000,
@@ -83,6 +89,9 @@ __test_sse(void)
 	return (0);
 }
 
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+
 int
 fesetexceptflag(const fexcept_t *flagp, int excepts)
 {
@@ -114,6 +123,10 @@ feraiseexcept(int excepts)
 	return (0);
 }
 
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+
 int
 fegetenv(fenv_t *envp)
 {
@@ -149,6 +162,8 @@ feholdexcept(fenv_t *envp)
 	return (0);
 }
 
+extern inline int fesetenv(const fenv_t *__envp);
+
 int
 feupdateenv(const fenv_t *envp)
 {
@@ -177,14 +192,14 @@ __feenableexcept(int mask)
 		__stmxcsr(&mxcsr);
 	else
 		mxcsr = 0;
-	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
 	control &= ~mask;
 	__fldcw(control);
 	if (__HAS_SSE()) {
 		mxcsr &= ~(mask << _SSE_EMASK_SHIFT);
 		__ldmxcsr(mxcsr);
 	}
-	return (~omask);
+	return (omask);
 }
 
 int
@@ -199,14 +214,14 @@ __fedisableexcept(int mask)
 		__stmxcsr(&mxcsr);
 	else
 		mxcsr = 0;
-	omask = (control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+	omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
 	control |= mask;
 	__fldcw(control);
 	if (__HAS_SSE()) {
 		mxcsr |= mask << _SSE_EMASK_SHIFT;
 		__ldmxcsr(mxcsr);
 	}
-	return (~omask);
+	return (omask);
 }
 
 __weak_reference(__feenableexcept, feenableexcept);

i387/fenv.h

@@ -23,7 +23,7 @@
  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  * SUCH DAMAGE.
  *
- * $FreeBSD: src/lib/msun/i387/fenv.h,v 1.7 2010/02/03 20:23:47 kib Exp $
+ * $FreeBSD: src/lib/msun/i387/fenv.h,v 1.8 2011/10/10 15:43:09 das Exp $
  */
 
 #ifndef	_FENV_H_
@@ -32,6 +32,10 @@
 #include <sys/cdefs.h>
 #include <sys/_types.h>
 
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
 /*                   
  * To preserve binary compatibility with FreeBSD 5.3, we pack the
  * mxcsr into some reserved fields, rather than changing sizeof(fenv_t).
@@ -110,7 +114,7 @@ extern const fenv_t	__fe_dfl_env;
 #define	__ldmxcsr(__csr)	__asm __volatile("ldmxcsr %0" : : "m" (__csr))
 #define	__stmxcsr(__csr)	__asm __volatile("stmxcsr %0" : "=m" (*(__csr)))
 
-static __inline int
+__fenv_static inline int
 feclearexcept(int __excepts)
 {
 	fenv_t __env;
@@ -131,7 +135,7 @@ feclearexcept(int __excepts)
 	return (0);
 }
 
-static __inline int
+__fenv_static inline int
 fegetexceptflag(fexcept_t *__flagp, int __excepts)
 {
 	__uint32_t __mxcsr;
@@ -149,7 +153,7 @@ fegetexceptflag(fexcept_t *__flagp, int __excepts)
 int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
 int feraiseexcept(int __excepts);
 
-static __inline int
+__fenv_static inline int
 fetestexcept(int __excepts)
 {
 	__uint32_t __mxcsr;
@@ -163,7 +167,7 @@ fetestexcept(int __excepts)
 	return ((__status | __mxcsr) & __excepts);
 }
 
-static __inline int
+__fenv_static inline int
 fegetround(void)
 {
 	__uint16_t __control;
@@ -178,7 +182,7 @@ fegetround(void)
 	return (__control & _ROUND_MASK);
 }
 
-static __inline int
+__fenv_static inline int
 fesetround(int __round)
 {
 	__uint32_t __mxcsr;
@@ -205,7 +209,7 @@ fesetround(int __round)
 int fegetenv(fenv_t *__envp);
 int feholdexcept(fenv_t *__envp);
 
-static __inline int
+__fenv_static inline int
 fesetenv(const fenv_t *__envp)
 {
 	fenv_t __env = *__envp;
@@ -234,7 +238,8 @@ int feupdateenv(const fenv_t *__envp);
 int feenableexcept(int __mask);
 int fedisableexcept(int __mask);
 
-static __inline int
+/* We currently provide no external definition of fegetexcept(). */
+static inline int
 fegetexcept(void)
 {
 	__uint16_t __control;

ia64/Makefile.inc

@@ -0,0 +1,5 @@
+# $FreeBSD: src/lib/msun/ia64/Makefile.inc,v 1.3 2006/03/27 23:59:45 deischen Exp $
+
+ARCH_SRCS = s_fma.S s_fmaf.S s_fmal.S
+LDBL_PREC = 64
+SYM_MAPS += ${.CURDIR}/ia64/Symbol.map

ia64/Symbol.map

@@ -0,0 +1,13 @@
+/*
+ * $FreeBSD: src/lib/msun/ia64/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
+ */
+FBSD_1.0 {
+	feupdateenv;
+};
+
+FBSD_1.3 {
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+};

ia64/fenv.c

@@ -0,0 +1,66 @@
+/*-
+ * Copyright (c) 2004 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ia64/fenv.c,v 1.4 2011/10/16 05:37:56 das Exp $
+ */
+
+#include <sys/types.h>
+
+#define	__fenv_static
+#include "fenv.h"
+
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
+
+const fenv_t __fe_dfl_env = 0x0009804c8a70033fULL;
+
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+extern inline int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+extern inline int feraiseexcept(int __excepts);
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+extern inline int fegetenv(fenv_t *__envp);
+extern inline int feholdexcept(fenv_t *__envp);
+extern inline int fesetenv(const fenv_t *__envp);
+
+/*
+ * It doesn't pay to inline feupdateenv() because it includes one of
+ * the rare uses of feraiseexcept() where the argument is not a
+ * constant.  Thus, no dead code elimination can occur, resulting in
+ * significant bloat.
+ */
+int
+feupdateenv(const fenv_t *envp)
+{
+	fenv_t fpsr;
+
+	__stfpsr(&fpsr);
+	__ldfpsr(*envp);
+	feraiseexcept((fpsr >> _FPUSW_SHIFT) & FE_ALL_EXCEPT);
+	return (0);
+}

ia64/fenv.h

@@ -0,0 +1,248 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ia64/fenv.h,v 1.5 2011/10/10 15:43:09 das Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/_types.h>
+
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
+typedef	__uint64_t	fenv_t;
+typedef	__uint16_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INVALID	0x01
+#define	FE_DENORMAL	0x02
+#define	FE_DIVBYZERO	0x04
+#define	FE_OVERFLOW	0x08
+#define	FE_UNDERFLOW	0x10
+#define	FE_INEXACT	0x20
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_DENORMAL | FE_INEXACT | \
+			 FE_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_DOWNWARD	0x0400
+#define	FE_UPWARD	0x0800
+#define	FE_TOWARDZERO	0x0c00
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+
+__BEGIN_DECLS
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+#define	_FPUSW_SHIFT	13
+
+#define	__stfpsr(__r)	__asm __volatile("mov %0=ar.fpsr" : "=r" (*(__r)))
+#define	__ldfpsr(__r)	__asm __volatile("mov ar.fpsr=%0;;" : : "r" (__r))
+
+__fenv_static inline int
+feclearexcept(int __excepts)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	__fpsr &= ~((fenv_t)__excepts << _FPUSW_SHIFT);
+	__ldfpsr(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	*__flagp = (fexcept_t)(__fpsr >> _FPUSW_SHIFT) & __excepts;
+	return (0);
+}
+
+__fenv_static inline int
+fesetexceptflag(const fexcept_t *__flagp, int __excepts)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	__fpsr &= ~((fenv_t)__excepts << _FPUSW_SHIFT);
+	__fpsr |= (fenv_t)(__excepts & *__flagp) << _FPUSW_SHIFT;
+	__ldfpsr(__fpsr);
+	return (0);
+}
+
+/*
+ * It is worthwhile to use the inline version of this function iff it
+ * is called with arguments that are compile-time constants (due to
+ * dead code elimination).  Unfortunately, gcc isn't smart enough to
+ * figure this out automatically, and there's no way to tell it.
+ * We assume that constant arguments will be the common case.
+ */
+__fenv_static inline int
+feraiseexcept(int __excepts)
+{
+	volatile double d;
+
+	/*
+	 * With a compiler that supports the FENV_ACCESS pragma
+	 * properly, simple expressions like '0.0 / 0.0' should
+	 * be sufficient to generate traps.  Unfortunately, we
+	 * need to bring a volatile variable into the equation
+	 * to prevent incorrect optimizations.
+	 */
+	if (__excepts & FE_INVALID) {
+		d = 0.0;
+		d = 0.0 / d;
+	}
+	if (__excepts & FE_DIVBYZERO) {
+		d = 0.0;
+		d = 1.0 / d;
+	}
+	if (__excepts & FE_OVERFLOW) {
+		d = 0x1.ffp1023;
+		d *= 2.0;
+	}
+	if (__excepts & FE_UNDERFLOW) {
+		d = 0x1p-1022;
+		d /= 0x1p1023;
+	}
+	if (__excepts & FE_INEXACT) {
+		d = 0x1p-1022;
+		d += 1.0;
+	}
+	return (0);
+}
+
+__fenv_static inline int
+fetestexcept(int __excepts)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	return ((__fpsr >> _FPUSW_SHIFT) & __excepts);
+}
+
+
+__fenv_static inline int
+fegetround(void)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	return (__fpsr & _ROUND_MASK);
+}
+
+__fenv_static inline int
+fesetround(int __round)
+{
+	fenv_t __fpsr;
+
+	if (__round & ~_ROUND_MASK)
+		return (-1);
+	__stfpsr(&__fpsr);
+	__fpsr &= ~_ROUND_MASK;
+	__fpsr |= __round;
+	__ldfpsr(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+fegetenv(fenv_t *__envp)
+{
+
+	__stfpsr(__envp);
+	return (0);
+}
+
+__fenv_static inline int
+feholdexcept(fenv_t *__envp)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	*__envp = __fpsr;
+	__fpsr &= ~((fenv_t)FE_ALL_EXCEPT << _FPUSW_SHIFT);
+	__fpsr |= FE_ALL_EXCEPT;
+	__ldfpsr(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+fesetenv(const fenv_t *__envp)
+{
+
+	__ldfpsr(*__envp);
+	return (0);
+}
+
+int feupdateenv(const fenv_t *__envp);
+
+#if __BSD_VISIBLE
+
+/* We currently provide no external definitions of the functions below. */
+
+static inline int
+feenableexcept(int __mask)
+{
+	fenv_t __newfpsr, __oldfpsr;
+
+	__stfpsr(&__oldfpsr);
+	__newfpsr = __oldfpsr & ~(__mask & FE_ALL_EXCEPT);
+	__ldfpsr(__newfpsr);
+	return (~__oldfpsr & FE_ALL_EXCEPT);
+}
+
+static inline int
+fedisableexcept(int __mask)
+{
+	fenv_t __newfpsr, __oldfpsr;
+
+	__stfpsr(&__oldfpsr);
+	__newfpsr = __oldfpsr | (__mask & FE_ALL_EXCEPT);
+	__ldfpsr(__newfpsr);
+	return (~__oldfpsr & FE_ALL_EXCEPT);
+}
+
+static inline int
+fegetexcept(void)
+{
+	fenv_t __fpsr;
+
+	__stfpsr(&__fpsr);
+	return (~__fpsr & FE_ALL_EXCEPT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

ia64/s_fma.S

@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/ia64/s_fma.S,v 1.2 2009/05/25 14:37:10 attilio Exp $")
+
+ENTRY(fma, 3)
+{
+	fma.d		f8 = f8, f9, f10
+	br.ret.sptk	b0
+}
+END(fma)

ia64/s_fmaf.S

@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/ia64/s_fmaf.S,v 1.2 2009/05/25 14:37:10 attilio Exp $")
+
+ENTRY(fmaf, 3)
+{
+	fma.s		f8 = f8, f9, f10
+	br.ret.sptk	b0
+}
+END(fmaf)

ia64/s_fmal.S

@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD: src/lib/msun/ia64/s_fmal.S,v 1.2 2009/05/25 14:37:10 attilio Exp $")
+
+ENTRY(fmal, 3)
+{
+	fma		f8 = f8, f9, f10
+	br.ret.sptk	b0
+}
+END(fmal)

ld128/e_rem_pio2l.h

@@ -14,7 +14,7 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/e_rem_pio2l.h,v 1.2 2011/05/30 19:41:28 kargl Exp $");
 
 /* ld128 version of __ieee754_rem_pio2l(x,y)
  * 
@@ -24,7 +24,7 @@
 
 #include <float.h>
 
-#include "openlibm.h"
+#include "math.h"
 #include "math_private.h"
 #include "fpmath.h"
 

ld128/invtrig.c

@@ -25,7 +25,7 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/invtrig.c,v 1.1 2008/07/31 22:41:26 das Exp $");
 
 #include "invtrig.h"
 

ld128/k_cosl.c

@@ -12,7 +12,7 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/k_cosl.c,v 1.1 2008/02/17 07:32:31 das Exp $");
 
 /*
  * ld128 version of k_cos.c.  See ../src/k_cos.c for most comments.

ld128/k_sinl.c

@@ -12,7 +12,7 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/k_sinl.c,v 1.1 2008/02/17 07:32:31 das Exp $");
 
 /*
  * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.

ld128/k_tanl.c

@@ -12,13 +12,13 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/k_tanl.c,v 1.1 2008/02/17 07:32:31 das Exp $");
 
 /*
  * ld128 version of k_tan.c.  See ../src/k_tan.c for most comments.
  */
 
-#include "openlibm.h"
+#include "math.h"
 #include "math_private.h"
 
 /*

ld128/s_exp2l.c

@@ -25,13 +25,13 @@
  */
 
 #include <sys/cdefs.h>
-
+__FBSDID("$FreeBSD: src/lib/msun/ld128/s_exp2l.c,v 1.3 2008/02/13 10:44:44 bde Exp $");
 
 #include <float.h>
 #include <stdint.h>
 
 #include "fpmath.h"
-#include "openlibm.h"
+#include "math.h"
 
 #define	TBLBITS	7
 #define	TBLSIZE	(1 << TBLBITS)

ld128/s_nanl.c

@@ -26,7 +26,7 @@
  * $FreeBSD: src/lib/msun/ld128/s_nanl.c,v 1.3 2008/03/02 20:16:55 das Exp $
  */
 
-#include "openlibm.h"
+#include <math.h>
 
 #include "fpmath.h"
 #include "../src/math_private.h"

ld80/e_rem_pio2l.h

@@ -0,0 +1,149 @@
+/* From: @(#)e_rem_pio2.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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.
+ * ====================================================
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/ld80/e_rem_pio2l.h,v 1.3 2011/06/18 13:56:33 benl Exp $");
+
+/* ld80 version of __ieee754_rem_pio2l(x,y)
+ * 
+ * return the remainder of x rem pi/2 in y[0]+y[1] 
+ * use __kernel_rem_pio2()
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+#include "fpmath.h"
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+
+/*
+ * invpio2:  64 bits of 2/pi
+ * pio2_1:   first  39 bits of pi/2
+ * pio2_1t:  pi/2 - pio2_1
+ * pio2_2:   second 39 bits of pi/2
+ * pio2_2t:  pi/2 - (pio2_1+pio2_2)
+ * pio2_3:   third  39 bits of pi/2
+ * pio2_3t:  pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+static const double
+zero =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+two24 =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+pio2_1  =  1.57079632679597125389e+00,	/* 0x3FF921FB, 0x54444000 */
+pio2_2  = -1.07463465549783099519e-12,	/* -0x12e7b967674000.0p-92 */
+pio2_3  =  6.36831716351370313614e-25;	/*  0x18a2e037074000.0p-133 */
+
+#if defined(__amd64__) || defined(__i386__)
+/* Long double constants are slow on these arches, and broken on i386. */
+static const volatile double
+invpio2hi =  6.3661977236758138e-01,	/*  0x145f306dc9c883.0p-53 */
+invpio2lo = -3.9356538861223811e-17,	/* -0x16b00000000000.0p-107 */
+pio2_1thi = -1.0746346554971943e-12,	/* -0x12e7b9676733af.0p-92 */
+pio2_1tlo =  8.8451028997905949e-29,	/*  0x1c080000000000.0p-146 */
+pio2_2thi =  6.3683171635109499e-25,	/*  0x18a2e03707344a.0p-133 */
+pio2_2tlo =  2.3183081793789774e-41,	/*  0x10280000000000.0p-187 */
+pio2_3thi = -2.7529965190440717e-37,	/* -0x176b7ed8fbbacc.0p-174 */
+pio2_3tlo = -4.2006647512740502e-54;	/* -0x19c00000000000.0p-230 */
+#define	invpio2	((long double)invpio2hi + invpio2lo)
+#define	pio2_1t	((long double)pio2_1thi + pio2_1tlo)
+#define	pio2_2t	((long double)pio2_2thi + pio2_2tlo)
+#define	pio2_3t	((long double)pio2_3thi + pio2_3tlo)
+#else
+static const long double
+invpio2 =  6.36619772367581343076e-01L,	/*  0xa2f9836e4e44152a.0p-64 */
+pio2_1t = -1.07463465549719416346e-12L,	/* -0x973dcb3b399d747f.0p-103 */
+pio2_2t =  6.36831716351095013979e-25L,	/*  0xc51701b839a25205.0p-144 */
+pio2_3t = -2.75299651904407171810e-37L;	/* -0xbb5bf6c7ddd660ce.0p-185 */
+#endif
+
+static inline __always_inline int
+__ieee754_rem_pio2l(long double x, long double *y)
+{
+	union IEEEl2bits u,u1;
+	long double z,w,t,r,fn;
+	double tx[3],ty[2];
+	int e0,ex,i,j,nx,n;
+	int16_t expsign;
+
+	u.e = x;
+	expsign = u.xbits.expsign;
+	ex = expsign & 0x7fff;
+	if (ex < BIAS + 25 || (ex == BIAS + 25 && u.bits.manh < 0xc90fdaa2)) {
+	    /* |x| ~< 2^25*(pi/2), medium size */
+	    /* Use a specialized rint() to get fn.  Assume round-to-nearest. */
+	    fn = x*invpio2+0x1.8p63;
+	    fn = fn-0x1.8p63;
+#ifdef HAVE_EFFICIENT_IRINT
+	    n  = irint(fn);
+#else
+	    n  = fn;
+#endif
+	    r  = x-fn*pio2_1;
+	    w  = fn*pio2_1t;	/* 1st round good to 102 bit */
+	    {
+		union IEEEl2bits u2;
+	        int ex1;
+	        j  = ex;
+	        y[0] = r-w; 
+		u2.e = y[0];
+		ex1 = u2.xbits.expsign & 0x7fff;
+	        i = j-ex1;
+	        if(i>22) {  /* 2nd iteration needed, good to 141 */
+		    t  = r;
+		    w  = fn*pio2_2;	
+		    r  = t-w;
+		    w  = fn*pio2_2t-((t-r)-w);	
+		    y[0] = r-w;
+		    u2.e = y[0];
+		    ex1 = u2.xbits.expsign & 0x7fff;
+		    i = j-ex1;
+		    if(i>61) {	/* 3rd iteration need, 180 bits acc */
+		    	t  = r;	/* will cover all possible cases */
+		    	w  = fn*pio2_3;	
+		    	r  = t-w;
+		    	w  = fn*pio2_3t-((t-r)-w);	
+		    	y[0] = r-w;
+		    }
+		}
+	    }
+	    y[1] = (r-y[0])-w;
+	    return n;
+	}
+    /* 
+     * all other (large) arguments
+     */
+	if(ex==0x7fff) {		/* x is inf or NaN */
+	    y[0]=y[1]=x-x; return 0;
+	}
+    /* set z = scalbn(|x|,ilogb(x)-23) */
+	u1.e = x;
+	e0 = ex - BIAS - 23;		/* e0 = ilogb(|x|)-23; */
+	u1.xbits.expsign = ex - e0;
+	z = u1.e;
+	for(i=0;i<2;i++) {
+		tx[i] = (double)((int32_t)(z));
+		z     = (z-tx[i])*two24;
+	}
+	tx[2] = z;
+	nx = 3;
+	while(tx[nx-1]==zero) nx--;	/* skip zero term */
+	n  =  __kernel_rem_pio2(tx,ty,e0,nx,2);
+	r = (long double)ty[0] + ty[1];
+	w = ty[1] - (r - ty[0]);
+	if(expsign<0) {y[0] = -r; y[1] = -w; return -n;}
+	y[0] = r; y[1] = w; return n;
+}

ld80/invtrig.c

@@ -0,0 +1,82 @@
+/*-
+ * Copyright (c) 2008 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/ld80/invtrig.c,v 1.1 2008/07/31 22:41:26 das Exp $");
+
+#include "invtrig.h"
+
+/*
+ * asinl() and acosl()
+ */
+const long double
+pS0 =  1.66666666666666666631e-01L,
+pS1 = -4.16313987993683104320e-01L,
+pS2 =  3.69068046323246813704e-01L,
+pS3 = -1.36213932016738603108e-01L,
+pS4 =  1.78324189708471965733e-02L,
+pS5 = -2.19216428382605211588e-04L,
+pS6 = -7.10526623669075243183e-06L,
+qS1 = -2.94788392796209867269e+00L,
+qS2 =  3.27309890266528636716e+00L,
+qS3 = -1.68285799854822427013e+00L,
+qS4 =  3.90699412641738801874e-01L,
+qS5 = -3.14365703596053263322e-02L;
+
+/*
+ * atanl()
+ */
+const long double atanhi[] = {
+	 4.63647609000806116202e-01L,
+	 7.85398163397448309628e-01L,
+	 9.82793723247329067960e-01L,
+	 1.57079632679489661926e+00L,
+};
+
+const long double atanlo[] = {
+	 1.18469937025062860669e-20L,
+	-1.25413940316708300586e-20L,
+	 2.55232234165405176172e-20L,
+	-2.50827880633416601173e-20L,
+};
+
+const long double aT[] = {
+	 3.33333333333333333017e-01L,
+	-1.99999999999999632011e-01L,
+	 1.42857142857046531280e-01L,
+	-1.11111111100562372733e-01L,
+	 9.09090902935647302252e-02L,
+	-7.69230552476207730353e-02L,
+	 6.66661718042406260546e-02L,
+	-5.88158892835030888692e-02L,
+	 5.25499891539726639379e-02L,
+	-4.70119845393155721494e-02L,
+	 4.03539201366454414072e-02L,
+	-2.91303858419364158725e-02L,
+	 1.24822046299269234080e-02L,
+};
+
+const long double pi_lo = -5.01655761266833202345e-20L;

ld80/invtrig.h

@@ -0,0 +1,114 @@
+/*-
+ * Copyright (c) 2008 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ld80/invtrig.h,v 1.2 2008/08/02 03:56:22 das Exp $
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+
+#define	BIAS		(LDBL_MAX_EXP - 1)
+#define	MANH_SIZE	LDBL_MANH_SIZE
+
+/* Approximation thresholds. */
+#define	ASIN_LINEAR	(BIAS - 32)	/* 2**-32 */
+#define	ACOS_CONST	(BIAS - 65)	/* 2**-65 */
+#define	ATAN_CONST	(BIAS + 65)	/* 2**65 */
+#define	ATAN_LINEAR	(BIAS - 32)	/* 2**-32 */
+
+/* 0.95 */
+#define	THRESH	((0xe666666666666666ULL>>(64-(MANH_SIZE-1)))|LDBL_NBIT)
+
+/* Constants shared by the long double inverse trig functions. */
+#define	pS0	_ItL_pS0
+#define	pS1	_ItL_pS1
+#define	pS2	_ItL_pS2
+#define	pS3	_ItL_pS3
+#define	pS4	_ItL_pS4
+#define	pS5	_ItL_pS5
+#define	pS6	_ItL_pS6
+#define	qS1	_ItL_qS1
+#define	qS2	_ItL_qS2
+#define	qS3	_ItL_qS3
+#define	qS4	_ItL_qS4
+#define	qS5	_ItL_qS5
+#define	atanhi	_ItL_atanhi
+#define	atanlo	_ItL_atanlo
+#define	aT	_ItL_aT
+#define	pi_lo	_ItL_pi_lo
+
+#define	pio2_hi	atanhi[3]
+#define	pio2_lo	atanlo[3]
+#define	pio4_hi	atanhi[1]
+
+#ifdef STRUCT_DECLS
+typedef struct longdouble {
+	uint64_t mant;
+	uint16_t expsign;
+} LONGDOUBLE;
+#else
+typedef long double LONGDOUBLE;
+#endif
+
+extern const LONGDOUBLE pS0, pS1, pS2, pS3, pS4, pS5, pS6;
+extern const LONGDOUBLE qS1, qS2, qS3, qS4, qS5;
+extern const LONGDOUBLE atanhi[], atanlo[], aT[];
+extern const LONGDOUBLE pi_lo;
+
+#ifndef STRUCT_DECLS
+
+static inline long double
+P(long double x)
+{
+
+	return (x * (pS0 + x * (pS1 + x * (pS2 + x * (pS3 + x * \
+		(pS4 + x * (pS5 + x * pS6)))))));
+}
+
+static inline long double
+Q(long double x)
+{
+
+	return (1.0 + x * (qS1 + x * (qS2 + x * (qS3 + x * (qS4 + x * qS5)))));
+}
+
+static inline long double
+T_even(long double x)
+{
+
+	return (aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + x * \
+		(aT[8] + x * (aT[10] + x * aT[12]))))));
+}
+
+static inline long double
+T_odd(long double x)
+{
+
+	return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * \
+		(aT[9] + x * aT[11])))));
+}
+
+#endif

ld80/k_cosl.c

@@ -0,0 +1,78 @@
+/* From: @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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: src/lib/msun/ld80/k_cosl.c,v 1.1 2008/02/17 07:32:14 das Exp $");
+
+/*
+ * ld80 version of k_cos.c.  See ../src/k_cos.c for most comments.
+ */
+
+#include "math_private.h"
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-2.43e-23, 2.425e-23]:
+ * |cos(x) - c(x)| < 2**-75.1
+ *
+ * The coefficients of c(x) were generated by a pari-gp script using
+ * a Remez algorithm that searches for the best higher coefficients
+ * after rounding leading coefficients to a specified precision.
+ *
+ * Simpler methods like Chebyshev or basic Remez barely suffice for
+ * cos() in 64-bit precision, because we want the coefficient of x^2
+ * to be precisely -0.5 so that multiplying by it is exact, and plain
+ * rounding of the coefficients of a good polynomial approximation only
+ * gives this up to about 64-bit precision.  Plain rounding also gives
+ * a mediocre approximation for the coefficient of x^4, but a rounding
+ * error of 0.5 ulps for this coefficient would only contribute ~0.01
+ * ulps to the final error, so this is unimportant.  Rounding errors in
+ * higher coefficients are even less important.
+ *
+ * In fact, coefficients above the x^4 one only need to have 53-bit
+ * precision, and this is more efficient.  We get this optimization
+ * almost for free from the complications needed to search for the best
+ * higher coefficients.
+ */
+static const double
+one = 1.0;
+
+#if defined(__amd64__) || defined(__i386__)
+/* Long double constants are slow on these arches, and broken on i386. */
+static const volatile double
+C1hi = 0.041666666666666664,		/*  0x15555555555555.0p-57 */
+C1lo = 2.2598839032744733e-18;		/*  0x14d80000000000.0p-111 */
+#define	C1	((long double)C1hi + C1lo)
+#else
+static const long double
+C1 =  0.0416666666666666666136L;	/*  0xaaaaaaaaaaaaaa9b.0p-68 */
+#endif
+
+static const double
+C2 = -0.0013888888888888874,		/* -0x16c16c16c16c10.0p-62 */
+C3 =  0.000024801587301571716,		/*  0x1a01a01a018e22.0p-68 */
+C4 = -0.00000027557319215507120,	/* -0x127e4fb7602f22.0p-74 */
+C5 =  0.0000000020876754400407278,	/*  0x11eed8caaeccf1.0p-81 */
+C6 = -1.1470297442401303e-11,		/* -0x19393412bd1529.0p-89 */
+C7 =  4.7383039476436467e-14;		/*  0x1aac9d9af5c43e.0p-97 */
+
+long double
+__kernel_cosl(long double x, long double y)
+{
+	long double hz,z,r,w;
+
+	z  = x*x;
+	r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*C7))))));
+	hz = 0.5*z;
+	w  = one-hz;
+	return w + (((one-w)-hz) + (z*r-x*y));
+}

ld80/k_sinl.c

@@ -0,0 +1,62 @@
+/* From: @(#)k_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * 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: src/lib/msun/ld80/k_sinl.c,v 1.1 2008/02/17 07:32:14 das Exp $");
+
+/*
+ * ld80 version of k_sin.c.  See ../src/k_sin.c for most comments.
+ */
+
+#include "math_private.h"
+
+static const double
+half =  0.5;
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
+ * |sin(x)/x - s(x)| < 2**-72.1
+ *
+ * See ../ld80/k_cosl.c for more details about the polynomial.
+ */
+#if defined(__amd64__) || defined(__i386__)
+/* Long double constants are slow on these arches, and broken on i386. */
+static const volatile double
+S1hi = -0.16666666666666666,		/* -0x15555555555555.0p-55 */
+S1lo = -9.2563760475949941e-18;		/* -0x15580000000000.0p-109 */
+#define	S1	((long double)S1hi + S1lo)
+#else
+static const long double
+S1 = -0.166666666666666666671L;		/* -0xaaaaaaaaaaaaaaab.0p-66 */
+#endif
+
+static const double
+S2 =  0.0083333333333333332,		/*  0x11111111111111.0p-59 */
+S3 = -0.00019841269841269427,		/* -0x1a01a01a019f81.0p-65 */
+S4 =  0.0000027557319223597490,		/*  0x171de3a55560f7.0p-71 */
+S5 = -0.000000025052108218074604,	/* -0x1ae64564f16cad.0p-78 */
+S6 =  1.6059006598854211e-10,		/*  0x161242b90243b5.0p-85 */
+S7 = -7.6429779983024564e-13,		/* -0x1ae42ebd1b2e00.0p-93 */
+S8 =  2.6174587166648325e-15;		/*  0x179372ea0b3f64.0p-101 */
+
+long double
+__kernel_sinl(long double x, long double y, int iy)
+{
+	long double z,r,v;
+
+	z	=  x*x;
+	v	=  z*x;
+	r	=  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))));
+	if(iy==0) return x+v*(S1+z*r);
+	else      return x-((z*(half*y-v*r)-y)-v*S1);
+}

ld80/k_tanl.c

@@ -0,0 +1,124 @@
+/* From: @(#)k_tan.c 1.5 04/04/22 SMI */
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc.  All Rights Reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/ld80/k_tanl.c,v 1.3 2008/02/18 15:39:52 bde Exp $");
+
+/*
+ * ld80 version of k_tan.c.  See ../src/k_tan.c for most comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Domain [-0.67434, 0.67434], range ~[-2.25e-22, 1.921e-22]
+ * |tan(x)/x - t(x)| < 2**-71.9
+ *
+ * See k_cosl.c for more details about the polynomial.
+ */
+#if defined(__amd64__) || defined(__i386__)
+/* Long double constants are slow on these arches, and broken on i386. */
+static const volatile double
+T3hi =  0.33333333333333331,		/*  0x15555555555555.0p-54 */
+T3lo =  1.8350121769317163e-17,		/*  0x15280000000000.0p-108 */
+T5hi =  0.13333333333333336,		/*  0x11111111111112.0p-55 */
+T5lo =  1.3051083651294260e-17,		/*  0x1e180000000000.0p-109 */
+T7hi =  0.053968253968250494,		/*  0x1ba1ba1ba1b827.0p-57 */
+T7lo =  3.1509625637859973e-18,		/*  0x1d100000000000.0p-111 */
+pio4_hi =  0.78539816339744828,		/*  0x1921fb54442d18.0p-53 */
+pio4_lo =  3.0628711372715500e-17,	/*  0x11a80000000000.0p-107 */
+pio4lo_hi = -1.2541394031670831e-20,	/* -0x1d9cceba3f91f2.0p-119 */
+pio4lo_lo =  6.1493048227390915e-37;	/*  0x1a280000000000.0p-173 */
+#define	T3	((long double)T3hi + T3lo)
+#define	T5	((long double)T5hi + T5lo)
+#define	T7	((long double)T7hi + T7lo)
+#define	pio4	((long double)pio4_hi + pio4_lo)
+#define	pio4lo	((long double)pio4lo_hi + pio4lo_lo)
+#else
+static const long double
+T3 =   0.333333333333333333180L,	/*  0xaaaaaaaaaaaaaaa5.0p-65 */
+T5 =   0.133333333333333372290L,	/*  0x88888888888893c3.0p-66 */
+T7 =   0.0539682539682504975744L,	/*  0xdd0dd0dd0dc13ba2.0p-68 */
+pio4 = 0.785398163397448309628L,	/*  0xc90fdaa22168c235.0p-64 */
+pio4lo = -1.25413940316708300586e-20L;	/* -0xece675d1fc8f8cbb.0p-130 */
+#endif
+
+static const double
+T9  =  0.021869488536312216,		/*  0x1664f4882cc1c2.0p-58 */
+T11 =  0.0088632355256619590,		/*  0x1226e355c17612.0p-59 */
+T13 =  0.0035921281113786528,		/*  0x1d6d3d185d7ff8.0p-61 */
+T15 =  0.0014558334756312418,		/*  0x17da354aa3f96b.0p-62 */
+T17 =  0.00059003538700862256,		/*  0x13559358685b83.0p-63 */
+T19 =  0.00023907843576635544,		/*  0x1f56242026b5be.0p-65 */
+T21 =  0.000097154625656538905,		/*  0x1977efc26806f4.0p-66 */
+T23 =  0.000038440165747303162,		/*  0x14275a09b3ceac.0p-67 */
+T25 =  0.000018082171885432524,		/*  0x12f5e563e5487e.0p-68 */
+T27 =  0.0000024196006108814377,	/*  0x144c0d80cc6896.0p-71 */
+T29 =  0.0000078293456938132840,	/*  0x106b59141a6cb3.0p-69 */
+T31 = -0.0000032609076735050182,	/* -0x1b5abef3ba4b59.0p-71 */
+T33 =  0.0000023261313142559411;	/*  0x13835436c0c87f.0p-71 */
+
+long double
+__kernel_tanl(long double x, long double y, int iy) {
+	long double z, r, v, w, s;
+	long double osign;
+	int i;
+
+	iy = (iy == 1 ? -1 : 1);	/* XXX recover original interface */
+	osign = (x >= 0 ? 1.0 : -1.0);	/* XXX slow, probably wrong for -0 */
+	if (fabsl(x) >= 0.67434) {
+		if (x < 0) {
+			x = -x;
+			y = -y;
+		}
+		z = pio4 - x;
+		w = pio4lo - y;
+		x = z + w;
+		y = 0.0;
+		i = 1;
+	} else
+		i = 0;
+	z = x * x;
+	w = z * z;
+	r = T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 +
+	    w * (T25 + w * (T29 + w * T33))))));
+	v = z * (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 +
+	    w * (T27 + w * T31))))));
+	s = z * x;
+	r = y + z * (s * (r + v) + y);
+	r += T3 * s;
+	w = x + r;
+	if (i == 1) {
+		v = (long double) iy;
+		return osign *
+			(v - 2.0 * (x - (w * w / (w + v) - r)));
+	}
+	if (iy == 1)
+		return w;
+	else {
+		/*
+		 * if allow error up to 2 ulp, simply return
+		 * -1.0 / (x+r) here
+		 */
+		/* compute -1.0 / (x+r) accurately */
+		long double a, t;
+		z = w;
+		z = z + 0x1p32 - 0x1p32;
+		v = r - (z - x);	/* z+v = r+x */
+		t = a = -1.0 / w;	/* a = -1.0/w */
+		t = t + 0x1p32 - 0x1p32;
+		s = 1.0 + t * z;
+		return t + a * (s + t * v);
+	}
+}

ld80/s_exp2l.c

@@ -0,0 +1,294 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: src/lib/msun/ld80/s_exp2l.c,v 1.3 2008/02/13 10:44:44 bde Exp $");
+
+#include <float.h>
+#include <stdint.h>
+
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+
+#define	TBLBITS	7
+#define	TBLSIZE	(1 << TBLBITS)
+
+#define	BIAS	(LDBL_MAX_EXP - 1)
+#define	EXPMASK	(BIAS + LDBL_MAX_EXP)
+
+static const long double huge = 0x1p10000L;
+#if 0 /* XXX Prevent gcc from erroneously constant folding this. */
+static const long double twom10000 = 0x1p-10000L;
+#else
+static volatile long double twom10000 = 0x1p-10000L;
+#endif
+
+static const double
+    redux     = 0x1.8p63 / TBLSIZE,
+    P1        = 0x1.62e42fefa39efp-1,
+    P2        = 0x1.ebfbdff82c58fp-3,
+    P3        = 0x1.c6b08d7049fap-5,
+    P4        = 0x1.3b2ab6fba4da5p-7,
+    P5        = 0x1.5d8804780a736p-10,
+    P6        = 0x1.430918835e33dp-13;
+
+static const double tbl[TBLSIZE * 2] = {
+	0x1.6a09e667f3bcdp-1,	-0x1.bdd3413b2648p-55,
+	0x1.6c012750bdabfp-1,	-0x1.2895667ff0cp-57,
+	0x1.6dfb23c651a2fp-1,	-0x1.bbe3a683c88p-58,
+	0x1.6ff7df9519484p-1,	-0x1.83c0f25860fp-56,
+	0x1.71f75e8ec5f74p-1,	-0x1.16e4786887bp-56,
+	0x1.73f9a48a58174p-1,	-0x1.0a8d96c65d5p-55,
+	0x1.75feb564267c9p-1,	-0x1.0245957316ep-55,
+	0x1.780694fde5d3fp-1,	 0x1.866b80a0216p-55,
+	0x1.7a11473eb0187p-1,	-0x1.41577ee0499p-56,
+	0x1.7c1ed0130c132p-1,	 0x1.f124cd1164ep-55,
+	0x1.7e2f336cf4e62p-1,	 0x1.05d02ba157ap-57,
+	0x1.80427543e1a12p-1,	-0x1.27c86626d97p-55,
+	0x1.82589994cce13p-1,	-0x1.d4c1dd41533p-55,
+	0x1.8471a4623c7adp-1,	-0x1.8d684a341cep-56,
+	0x1.868d99b4492edp-1,	-0x1.fc6f89bd4f68p-55,
+	0x1.88ac7d98a6699p-1,	 0x1.994c2f37cb5p-55,
+	0x1.8ace5422aa0dbp-1,	 0x1.6e9f156864bp-55,
+	0x1.8cf3216b5448cp-1,	-0x1.0d55e32e9e4p-57,
+	0x1.8f1ae99157736p-1,	 0x1.5cc13a2e397p-56,
+	0x1.9145b0b91ffc6p-1,	-0x1.dd6792e5825p-55,
+	0x1.93737b0cdc5e5p-1,	-0x1.75fc781b58p-58,
+	0x1.95a44cbc8520fp-1,	-0x1.64b7c96a5fp-57,
+	0x1.97d829fde4e5p-1,	-0x1.d185b7c1b86p-55,
+	0x1.9a0f170ca07bap-1,	-0x1.173bd91cee6p-55,
+	0x1.9c49182a3f09p-1,	 0x1.c7c46b071f2p-57,
+	0x1.9e86319e32323p-1,	 0x1.824ca78e64cp-57,
+	0x1.a0c667b5de565p-1,	-0x1.359495d1cd5p-55,
+	0x1.a309bec4a2d33p-1,	 0x1.6305c7ddc368p-55,
+	0x1.a5503b23e255dp-1,	-0x1.d2f6edb8d42p-55,
+	0x1.a799e1330b358p-1,	 0x1.bcb7ecac564p-55,
+	0x1.a9e6b5579fdbfp-1,	 0x1.0fac90ef7fdp-55,
+	0x1.ac36bbfd3f37ap-1,	-0x1.f9234cae76dp-56,
+	0x1.ae89f995ad3adp-1,	 0x1.7a1cd345dcc8p-55,
+	0x1.b0e07298db666p-1,	-0x1.bdef54c80e4p-55,
+	0x1.b33a2b84f15fbp-1,	-0x1.2805e3084d8p-58,
+	0x1.b59728de5593ap-1,	-0x1.c71dfbbba6ep-55,
+	0x1.b7f76f2fb5e47p-1,	-0x1.5584f7e54acp-57,
+	0x1.ba5b030a1064ap-1,	-0x1.efcd30e5429p-55,
+	0x1.bcc1e904bc1d2p-1,	 0x1.23dd07a2d9fp-56,
+	0x1.bf2c25bd71e09p-1,	-0x1.efdca3f6b9c8p-55,
+	0x1.c199bdd85529cp-1,	 0x1.11065895049p-56,
+	0x1.c40ab5fffd07ap-1,	 0x1.b4537e083c6p-55,
+	0x1.c67f12e57d14bp-1,	 0x1.2884dff483c8p-55,
+	0x1.c8f6d9406e7b5p-1,	 0x1.1acbc48805cp-57,
+	0x1.cb720dcef9069p-1,	 0x1.503cbd1e94ap-57,
+	0x1.cdf0b555dc3fap-1,	-0x1.dd83b53829dp-56,
+	0x1.d072d4a07897cp-1,	-0x1.cbc3743797a8p-55,
+	0x1.d2f87080d89f2p-1,	-0x1.d487b719d858p-55,
+	0x1.d5818dcfba487p-1,	 0x1.2ed02d75b37p-56,
+	0x1.d80e316c98398p-1,	-0x1.11ec18bedep-55,
+	0x1.da9e603db3285p-1,	 0x1.c2300696db5p-55,
+	0x1.dd321f301b46p-1,	 0x1.2da5778f019p-55,
+	0x1.dfc97337b9b5fp-1,	-0x1.1a5cd4f184b8p-55,
+	0x1.e264614f5a129p-1,	-0x1.7b627817a148p-55,
+	0x1.e502ee78b3ff6p-1,	 0x1.39e8980a9cdp-56,
+	0x1.e7a51fbc74c83p-1,	 0x1.2d522ca0c8ep-55,
+	0x1.ea4afa2a490dap-1,	-0x1.e9c23179c288p-55,
+	0x1.ecf482d8e67f1p-1,	-0x1.c93f3b411ad8p-55,
+	0x1.efa1bee615a27p-1,	 0x1.dc7f486a4b68p-55,
+	0x1.f252b376bba97p-1,	 0x1.3a1a5bf0d8e8p-55,
+	0x1.f50765b6e454p-1,	 0x1.9d3e12dd8a18p-55,
+	0x1.f7bfdad9cbe14p-1,	-0x1.dbb12d00635p-55,
+	0x1.fa7c1819e90d8p-1,	 0x1.74853f3a593p-56,
+	0x1.fd3c22b8f71f1p-1,	 0x1.2eb74966578p-58,
+	0x1p+0,	 0x0p+0,
+	0x1.0163da9fb3335p+0,	 0x1.b61299ab8cd8p-54,
+	0x1.02c9a3e778061p+0,	-0x1.19083535b08p-56,
+	0x1.04315e86e7f85p+0,	-0x1.0a31c1977c98p-54,
+	0x1.059b0d3158574p+0,	 0x1.d73e2a475b4p-55,
+	0x1.0706b29ddf6dep+0,	-0x1.c91dfe2b13cp-55,
+	0x1.0874518759bc8p+0,	 0x1.186be4bb284p-57,
+	0x1.09e3ecac6f383p+0,	 0x1.14878183161p-54,
+	0x1.0b5586cf9890fp+0,	 0x1.8a62e4adc61p-54,
+	0x1.0cc922b7247f7p+0,	 0x1.01edc16e24f8p-54,
+	0x1.0e3ec32d3d1a2p+0,	 0x1.03a1727c58p-59,
+	0x1.0fb66affed31bp+0,	-0x1.b9bedc44ebcp-57,
+	0x1.11301d0125b51p+0,	-0x1.6c51039449bp-54,
+	0x1.12abdc06c31ccp+0,	-0x1.1b514b36ca8p-58,
+	0x1.1429aaea92dep+0,	-0x1.32fbf9af1368p-54,
+	0x1.15a98c8a58e51p+0,	 0x1.2406ab9eeabp-55,
+	0x1.172b83c7d517bp+0,	-0x1.19041b9d78ap-55,
+	0x1.18af9388c8deap+0,	-0x1.11023d1970f8p-54,
+	0x1.1a35beb6fcb75p+0,	 0x1.e5b4c7b4969p-55,
+	0x1.1bbe084045cd4p+0,	-0x1.95386352ef6p-54,
+	0x1.1d4873168b9aap+0,	 0x1.e016e00a264p-54,
+	0x1.1ed5022fcd91dp+0,	-0x1.1df98027bb78p-54,
+	0x1.2063b88628cd6p+0,	 0x1.dc775814a85p-55,
+	0x1.21f49917ddc96p+0,	 0x1.2a97e9494a6p-55,
+	0x1.2387a6e756238p+0,	 0x1.9b07eb6c7058p-54,
+	0x1.251ce4fb2a63fp+0,	 0x1.ac155bef4f5p-55,
+	0x1.26b4565e27cddp+0,	 0x1.2bd339940eap-55,
+	0x1.284dfe1f56381p+0,	-0x1.a4c3a8c3f0d8p-54,
+	0x1.29e9df51fdee1p+0,	 0x1.612e8afad12p-55,
+	0x1.2b87fd0dad99p+0,	-0x1.10adcd6382p-59,
+	0x1.2d285a6e4030bp+0,	 0x1.0024754db42p-54,
+	0x1.2ecafa93e2f56p+0,	 0x1.1ca0f45d524p-56,
+	0x1.306fe0a31b715p+0,	 0x1.6f46ad23183p-55,
+	0x1.32170fc4cd831p+0,	 0x1.a9ce78e1804p-55,
+	0x1.33c08b26416ffp+0,	 0x1.327218436598p-54,
+	0x1.356c55f929ff1p+0,	-0x1.b5cee5c4e46p-55,
+	0x1.371a7373aa9cbp+0,	-0x1.63aeabf42ebp-54,
+	0x1.38cae6d05d866p+0,	-0x1.e958d3c99048p-54,
+	0x1.3a7db34e59ff7p+0,	-0x1.5e436d661f6p-56,
+	0x1.3c32dc313a8e5p+0,	-0x1.efff8375d2ap-54,
+	0x1.3dea64c123422p+0,	 0x1.ada0911f09fp-55,
+	0x1.3fa4504ac801cp+0,	-0x1.7d023f956fap-54,
+	0x1.4160a21f72e2ap+0,	-0x1.ef3691c309p-58,
+	0x1.431f5d950a897p+0,	-0x1.1c7dde35f7ap-55,
+	0x1.44e086061892dp+0,	 0x1.89b7a04ef8p-59,
+	0x1.46a41ed1d0057p+0,	 0x1.c944bd1648a8p-54,
+	0x1.486a2b5c13cdp+0,	 0x1.3c1a3b69062p-56,
+	0x1.4a32af0d7d3dep+0,	 0x1.9cb62f3d1be8p-54,
+	0x1.4bfdad5362a27p+0,	 0x1.d4397afec42p-56,
+	0x1.4dcb299fddd0dp+0,	 0x1.8ecdbbc6a78p-54,
+	0x1.4f9b2769d2ca7p+0,	-0x1.4b309d25958p-54,
+	0x1.516daa2cf6642p+0,	-0x1.f768569bd94p-55,
+	0x1.5342b569d4f82p+0,	-0x1.07abe1db13dp-55,
+	0x1.551a4ca5d920fp+0,	-0x1.d689cefede6p-55,
+	0x1.56f4736b527dap+0,	 0x1.9bb2c011d938p-54,
+	0x1.58d12d497c7fdp+0,	 0x1.295e15b9a1ep-55,
+	0x1.5ab07dd485429p+0,	 0x1.6324c0546478p-54,
+	0x1.5c9268a5946b7p+0,	 0x1.c4b1b81698p-60,
+	0x1.5e76f15ad2148p+0,	 0x1.ba6f93080e68p-54,
+	0x1.605e1b976dc09p+0,	-0x1.3e2429b56de8p-54,
+	0x1.6247eb03a5585p+0,	-0x1.383c17e40b48p-54,
+	0x1.6434634ccc32p+0,	-0x1.c483c759d89p-55,
+	0x1.6623882552225p+0,	-0x1.bb60987591cp-54,
+	0x1.68155d44ca973p+0,	 0x1.038ae44f74p-57,
+};
+
+/*
+ * exp2l(x): compute the base 2 exponential of x
+ *
+ * Accuracy: Peak error < 0.511 ulp.
+ *
+ * Method: (equally-spaced tables)
+ *
+ *   Reduce x:
+ *     x = 2**k + y, for integer k and |y| <= 1/2.
+ *     Thus we have exp2l(x) = 2**k * exp2(y).
+ *
+ *   Reduce y:
+ *     y = i/TBLSIZE + z for integer i near y * TBLSIZE.
+ *     Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z),
+ *     with |z| <= 2**-(TBLBITS+1).
+ *
+ *   We compute exp2(i/TBLSIZE) via table lookup and exp2(z) via a
+ *   degree-6 minimax polynomial with maximum error under 2**-69.
+ *   The table entries each have 104 bits of accuracy, encoded as
+ *   a pair of double precision values.
+ */
+long double
+exp2l(long double x)
+{
+	union IEEEl2bits u, v;
+	long double r, twopk, twopkp10000, z;
+	uint32_t hx, ix, i0;
+	int k;
+
+	/* Filter out exceptional cases. */
+	u.e = x;
+	hx = u.xbits.expsign;
+	ix = hx & EXPMASK;
+	if (ix >= BIAS + 14) {		/* |x| >= 16384 or x is NaN */
+		if (ix == BIAS + LDBL_MAX_EXP) {
+			if (u.xbits.man != 1ULL << 63 || (hx & 0x8000) == 0)
+				return (x + x);	/* x is +Inf or NaN */
+			else
+				return (0.0);	/* x is -Inf */
+		}
+		if (x >= 16384)
+			return (huge * huge);	/* overflow */
+		if (x <= -16446)
+			return (twom10000 * twom10000);	/* underflow */
+	} else if (ix <= BIAS - 66) {		/* |x| < 0x1p-66 */
+		return (1.0 + x);
+	}
+
+#ifdef __i386__
+	/*
+	 * The default precision on i386 is 53 bits, so long doubles are
+	 * broken. Call exp2() to get an accurate (double precision) result.
+	 */
+	if (fpgetprec() != FP_PE)
+		return (exp2(x));
+#endif
+
+	/*
+	 * Reduce x, computing z, i0, and k. The low bits of x + redux
+	 * contain the 16-bit integer part of the exponent (k) followed by
+	 * TBLBITS fractional bits (i0). We use bit tricks to extract these
+	 * as integers, then set z to the remainder.
+	 *
+	 * Example: Suppose x is 0xabc.123456p0 and TBLBITS is 8.
+	 * Then the low-order word of x + redux is 0x000abc12,
+	 * We split this into k = 0xabc and i0 = 0x12 (adjusted to
+	 * index into the table), then we compute z = 0x0.003456p0.
+	 *
+	 * XXX If the exponent is negative, the computation of k depends on
+	 *     '>>' doing sign extension.
+	 */
+	u.e = x + redux;
+	i0 = u.bits.manl + TBLSIZE / 2;
+	k = (int)i0 >> TBLBITS;
+	i0 = (i0 & (TBLSIZE - 1)) << 1;
+	u.e -= redux;
+	z = x - u.e;
+	v.xbits.man = 1ULL << 63;
+	if (k >= LDBL_MIN_EXP) {
+		v.xbits.expsign = LDBL_MAX_EXP - 1 + k;
+		twopk = v.e;
+	} else {
+		v.xbits.expsign = LDBL_MAX_EXP - 1 + k + 10000;
+		twopkp10000 = v.e;
+	}
+
+	/* Compute r = exp2l(y) = exp2lt[i0] * p(z). */
+	long double t_hi = tbl[i0];
+	long double t_lo = tbl[i0 + 1];
+	/* XXX This gives > 1 ulp errors outside of FE_TONEAREST mode */
+	r = t_lo + (t_hi + t_lo) * z * (P1 + z * (P2 + z * (P3 + z * (P4
+	    + z * (P5 + z * P6))))) + t_hi;
+
+	/* Scale by 2**k. */
+	if (k >= LDBL_MIN_EXP) {
+		if (k == LDBL_MAX_EXP)
+			return (r * 2.0 * 0x1p16383L);
+		return (r * twopk);
+	} else {
+		return (r * twopkp10000 * twom10000);
+	}
+}

ld80/s_nanl.c

@@ -0,0 +1,46 @@
+/*-
+ * Copyright (c) 2007 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/ld80/s_nanl.c,v 1.2 2007/12/18 23:46:31 das Exp $
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+#include "../src/math_private.h"
+
+long double
+nanl(const char *s)
+{
+	union {
+		union IEEEl2bits ieee;
+		uint32_t bits[3];
+	} u;
+
+	_scan_nan(u.bits, 3, s);
+	u.ieee.bits.exp = 0x7fff;
+	u.ieee.bits.manh |= 0xc0000000;	/* make it a quiet NaN */
+	return (u.ieee.e);
+}

man/acos.3

@@ -0,0 +1,87 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)acos.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/acos.3,v 1.15 2008/07/31 22:41:26 das Exp $
+.\"
+.Dd July 31, 2008
+.Dt ACOS 3
+.Os
+.Sh NAME
+.Nm acos ,
+.Nm acosf ,
+.Nm acosl
+.Nd arc cosine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn acos "double x"
+.Ft float
+.Fn acosf "float x"
+.Ft long double
+.Fn acosl "long double x"
+.Sh DESCRIPTION
+The
+.Fn acos ,
+.Fn acosf ,
+and
+.Fn acosl
+functions compute the principal value of the arc cosine of
+.Fa x .
+.Sh RETURN VALUES
+These functions return the arc cosine in the range
+.Bq 0 , \*(Pi
+radians.
+If:
+.Bd -unfilled -offset indent
+.Pf \&| Ns Ar x Ns \&| > 1 ,
+.Ed
+.Pp
+.Fn acos x
+raises an invalid exception and returns an \*(Na.
+.Sh SEE ALSO
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr fenv 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn acos ,
+.Fn acosf ,
+and
+.Fn acosl
+functions conform to
+.St -isoC-99 .

man/acosh.3

@@ -0,0 +1,78 @@
+.\" Copyright (c) 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)acosh.3	5.2 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/acosh.3,v 1.12 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd January 14, 2005
+.Dt ACOSH 3
+.Os
+.Sh NAME
+.Nm acosh ,
+.Nm acoshf
+.Nd inverse hyperbolic cosine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn acosh "double x"
+.Ft float
+.Fn acoshf "float x"
+.Sh DESCRIPTION
+The
+.Fn acosh
+and the
+.Fn acoshf
+functions compute the inverse hyperbolic cosine
+of the real
+argument
+.Ar x .
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn acosh
+and the
+.Fn acoshf
+functions
+return the inverse hyperbolic cosine of
+.Ar x .
+If the argument is less than 1,
+.Fn acosh
+raises an invalid exception and returns an \*(Na.
+.Sh SEE ALSO
+.Xr asinh 3 ,
+.Xr atanh 3 ,
+.Xr exp 3 ,
+.Xr fenv 3 ,
+.Xr math 3
+.Sh HISTORY
+The
+.Fn acosh
+function appeared in
+.Bx 4.3 .

man/asin.3

@@ -0,0 +1,89 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)asin.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/asin.3,v 1.17 2008/07/31 22:41:26 das Exp $
+.\"
+.Dd July 31, 2008
+.Dt ASIN 3
+.Os
+.Sh NAME
+.Nm asin ,
+.Nm asinf ,
+.Nm asinl
+.Nd arc sine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn asin "double x"
+.Ft float
+.Fn asinf "float x"
+.Ft long double
+.Fn asinl "long double x"
+.Sh DESCRIPTION
+The
+.Fn asin ,
+.Fn asinf ,
+and
+.Fn asinl
+functions compute the principal value of the arc sine of
+.Fa x .
+.Sh RETURN VALUES
+These functions return the arc sine in the range
+.Bk -words
+.Bq -\*(Pi/2 , +\*(Pi/2
+.Ek
+radians.
+If:
+.Bd -unfilled -offset indent
+.Pf \&| Ns Ar x Ns \&| > 1
+.Ed
+.Pp
+.Fn asin x
+raises an invalid exception and returns an \*(Na.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr fenv 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn asin ,
+.Fn asinf ,
+and
+.Fn asinl
+functions conform to
+.St -isoC-99 .

man/asinh.3

@@ -0,0 +1,74 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)asinh.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/asinh.3,v 1.11 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd May 6, 1991
+.Dt ASINH 3
+.Os
+.Sh NAME
+.Nm asinh ,
+.Nm asinhf
+.Nd inverse hyperbolic sine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn asinh "double x"
+.Ft float
+.Fn asinhf "float x"
+.Sh DESCRIPTION
+The
+.Fn asinh
+and the
+.Fn asinhf
+functions compute the inverse hyperbolic sine
+of the real
+argument
+.Ar x .
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn asinh
+and the
+.Fn asinhf
+functions
+return the inverse hyperbolic sine of
+.Ar x .
+.Sh SEE ALSO
+.Xr acosh 3 ,
+.Xr atanh 3 ,
+.Xr exp 3 ,
+.Xr math 3
+.Sh HISTORY
+The
+.Fn asinh
+function appeared in
+.Bx 4.3 .

man/atan.3

@@ -0,0 +1,81 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)atan.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/atan.3,v 1.12 2008/07/31 22:41:26 das Exp $
+.\"
+.Dd July 31, 2008
+.Dt ATAN 3
+.Os
+.Sh NAME
+.Nm atan ,
+.Nm atanf ,
+.Nm atanl
+.Nd arc tangent functions of one variable
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn atan "double x"
+.Ft float
+.Fn atanf "float x"
+.Ft long double
+.Fn atanl "long double x"
+.Sh DESCRIPTION
+The
+.Fn atan ,
+.Fn atanf ,
+and
+.Fn atanl
+functions compute the principal value of the arc tangent of
+.Fa x .
+.Sh RETURN VALUES
+These functions return the arc tangent in the range
+.Bk -words
+.Bq -\*(Pi/2 , +\*(Pi/2
+.Ek
+radians.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn atan ,
+.Fn atanf ,
+and
+.Fn atanl
+functions conform to
+.St -isoC-99 .

man/atan2.3

@@ -0,0 +1,225 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)atan2.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/atan2.3,v 1.20 2010/06/09 07:31:32 uqs Exp $
+.\"
+.Dd July 31, 2008
+.Dt ATAN2 3
+.Os
+.Sh NAME
+.Nm atan2 ,
+.Nm atan2f ,
+.Nm atan2l ,
+.Nm carg ,
+.Nm cargf ,
+.Nm cargl
+.Nd arc tangent and complex phase angle functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn atan2 "double y" "double x"
+.Ft float
+.Fn atan2f "float y" "float x"
+.Ft long double
+.Fn atan2l "long double y" "long double x"
+.In complex.h
+.Ft double
+.Fn carg "double complex z"
+.Ft float
+.Fn cargf "float complex z"
+.Ft long double
+.Fn cargl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn atan2 ,
+.Fn atan2f ,
+and
+.Fn atan2l
+functions compute the principal value of the arc tangent of
+.Fa y/ Ns Ar x ,
+using the signs of both arguments to determine the quadrant of
+the return value.
+.Pp
+The
+.Fn carg ,
+.Fn cargf ,
+and
+.Fn cargl
+functions compute the complex argument (or phase angle) of
+.Fa z .
+The complex argument is the number theta such that
+.Li z = r * e^(I * theta) ,
+where
+.Li r = cabs(z) .
+The call
+.Li carg(z)
+is equivalent to
+.Li atan2(cimag(z), creal(z)) ,
+and similarly for
+.Fn cargf
+and
+.Fn cargl .
+.Sh RETURN VALUES
+The
+.Fn atan2 ,
+.Fn atan2f ,
+and
+.Fn atan2l
+functions, if successful,
+return the arc tangent of
+.Fa y/ Ns Ar x
+in the range
+.Bk -words
+.Bq \&- Ns \*(Pi , \&+ Ns \*(Pi
+.Ek
+radians.
+Here are some of the special cases:
+.Bl -column atan_(y,x)_:=____  sign(y)_(Pi_atan2(Xy_xX))___
+.It Fn atan2 y x No := Ta
+.Fn atan y/x Ta
+if
+.Ar x
+> 0,
+.It Ta sign( Ns Ar y Ns )*(\*(Pi -
+.Fn atan "\*(Bay/x\*(Ba" ) Ta
+if
+.Ar x
+< 0,
+.It Ta
+.No 0 Ta
+if x = y = 0, or
+.It Ta
+.Pf sign( Ar y Ns )*\*(Pi/2 Ta
+if
+.Ar x
+= 0 \(!=
+.Ar y .
+.El
+.Sh NOTES
+The function
+.Fn atan2
+defines "if x > 0,"
+.Fn atan2 0 0
+= 0 despite that previously
+.Fn atan2 0 0
+may have generated an error message.
+The reasons for assigning a value to
+.Fn atan2 0 0
+are these:
+.Bl -enum -offset indent
+.It
+Programs that test arguments to avoid computing
+.Fn atan2 0 0
+must be indifferent to its value.
+Programs that require it to be invalid are vulnerable
+to diverse reactions to that invalidity on diverse computer systems.
+.It
+The
+.Fn atan2
+function is used mostly to convert from rectangular (x,y)
+to polar
+.if n\
+(r,theta)
+.if t\
+(r,\(*h)
+coordinates that must satisfy x =
+.if n\
+r\(**cos theta
+.if t\
+r\(**cos\(*h
+and y =
+.if n\
+r\(**sin theta.
+.if t\
+r\(**sin\(*h.
+These equations are satisfied when (x=0,y=0)
+is mapped to
+.if n \
+(r=0,theta=0).
+.if t \
+(r=0,\(*h=0).
+In general, conversions to polar coordinates
+should be computed thus:
+.Bd -unfilled -offset indent
+.if n \{\
+r	:= hypot(x,y);  ... := sqrt(x\(**x+y\(**y)
+theta	:= atan2(y,x).
+.\}
+.if t \{\
+r	:= hypot(x,y);  ... := \(sr(x\u\s82\s10\d+y\u\s82\s10\d)
+\(*h	:= atan2(y,x).
+.\}
+.Ed
+.It
+The foregoing formulas need not be altered to cope in a
+reasonable way with signed zeros and infinities
+on a machine that conforms to
+.Tn IEEE 754 ;
+the versions of
+.Xr hypot 3
+and
+.Fn atan2
+provided for
+such a machine are designed to handle all cases.
+That is why
+.Fn atan2 \(+-0 \-0
+= \(+-\*(Pi
+for instance.
+In general the formulas above are equivalent to these:
+.Bd -unfilled -offset indent
+.if n \
+r := sqrt(x\(**x+y\(**y); if r = 0 then x := copysign(1,x);
+.if t \
+r := \(sr(x\(**x+y\(**y);\0\0if r = 0 then x := copysign(1,x);
+.Ed
+.El
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr cabs 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn atan2 ,
+.Fn atan2f ,
+.Fn atan2l ,
+.Fn carg ,
+.Fn cargf ,
+and
+.Fn cargl
+functions conform to
+.St -isoC-99 .

man/atanh.3

@@ -0,0 +1,81 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)atanh.3	5.2 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/atanh.3,v 1.14 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd January 14, 2005
+.Dt ATANH 3
+.Os
+.Sh NAME
+.Nm atanh ,
+.Nm atanhf
+.Nd inverse hyperbolic tangent functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn atanh "double x"
+.Ft float
+.Fn atanhf "float x"
+.Sh DESCRIPTION
+The
+.Fn atanh
+and the
+.Fn atanhf
+functions compute the inverse hyperbolic tangent
+of the real
+argument
+.Ar x .
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn atanh
+and the
+.Fn atanhf
+functions
+return the inverse hyperbolic tangent of
+.Ar x
+if successful.
+If the argument has absolute value 1, a divide-by-zero exception
+is raised and an infinity is returned.
+If
+.Ar |x|
+> 1, an invalid exception is raised and an \*(Na is returned.
+.Sh SEE ALSO
+.Xr acosh 3 ,
+.Xr asinh 3 ,
+.Xr exp 3 ,
+.Xr fenv 3 ,
+.Xr math 3
+.Sh HISTORY
+The
+.Fn atanh
+function appeared in
+.Bx 4.3 .

man/ccos.3

@@ -0,0 +1,80 @@
+.\" Copyright (c) 2011 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/ccos.3,v 1.1 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd October 17, 2011
+.Dt CCOS 3
+.Os
+.Sh NAME
+.Nm ccos ,
+.Nm ccosf ,
+.Nm csin ,
+.Nm csinf
+.Nm ctan ,
+.Nm ctanf
+.Nd complex trigonometric functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double complex
+.Fn ccos "double complex z"
+.Ft float complex
+.Fn ccosf "float complex z"
+.Ft double complex
+.Fn csin "double complex z"
+.Ft float complex
+.Fn csinf "float complex z"
+.Ft double complex
+.Fn ctan "double complex z"
+.Ft float complex
+.Fn ctanf "float complex z"
+.Sh DESCRIPTION
+The
+.Fn ccos ,
+.Fn csin ,
+and
+.Fn ctan
+functions compute the cosine, sine, and tangent of the complex number
+.Fa z ,
+respectively.
+The
+.Fn ccosf ,
+.Fn csinf ,
+and
+.Fn ctanf
+functions perform the same operations in
+.Fa float
+precision.
+.Sh SEE ALSO
+.Xr ccosh 3 ,
+.Xr complex 3 ,
+.Xr cos 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr tan 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/ccosh.3

@@ -0,0 +1,80 @@
+.\" Copyright (c) 2011 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/ccosh.3,v 1.1 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd October 17, 2011
+.Dt CCOSH 3
+.Os
+.Sh NAME
+.Nm ccosh ,
+.Nm ccoshf ,
+.Nm csinh ,
+.Nm csinhf
+.Nm ctanh ,
+.Nm ctanhf
+.Nd complex hyperbolic functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double complex
+.Fn ccosh "double complex z"
+.Ft float complex
+.Fn ccoshf "float complex z"
+.Ft double complex
+.Fn csinh "double complex z"
+.Ft float complex
+.Fn csinhf "float complex z"
+.Ft double complex
+.Fn ctanh "double complex z"
+.Ft float complex
+.Fn ctanhf "float complex z"
+.Sh DESCRIPTION
+The
+.Fn ccosh ,
+.Fn csinh ,
+and
+.Fn ctanh
+functions compute the hyperbolic cosine, sine, and tangent of the complex number
+.Fa z ,
+respectively.
+The
+.Fn ccoshf ,
+.Fn csinhf ,
+and
+.Fn ctanhf
+functions perform the same operations in
+.Fa float
+precision.
+.Sh SEE ALSO
+.Xr ccos 3 ,
+.Xr complex 3 ,
+.Xr cosh 3 ,
+.Xr math 3 ,
+.Xr sinh 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/ceil.3

@@ -0,0 +1,78 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ceil.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/ceil.3,v 1.16 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd January 13, 2005
+.Dt CEIL 3
+.Os
+.Sh NAME
+.Nm ceil ,
+.Nm ceilf ,
+.Nm ceill
+.Nd smallest integral value greater than or equal to x
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn ceil "double x"
+.Ft float
+.Fn ceilf "float x"
+.Ft "long double"
+.Fn ceill "long double x"
+.Sh DESCRIPTION
+The
+.Fn ceil ,
+.Fn ceilf
+and
+.Fn ceill
+functions return the smallest integral value
+greater than or equal to
+.Fa x ,
+expressed as a floating-point number.
+.Sh SEE ALSO
+.Xr abs 3 ,
+.Xr fabs 3 ,
+.Xr floor 3 ,
+.Xr ieee 3 ,
+.Xr math 3 ,
+.Xr rint 3 ,
+.Xr round 3 ,
+.Xr trunc 3
+.Sh STANDARDS
+The
+.Fn ceil
+function conforms to
+.St -isoC .
+The
+.Fn ceilf
+and
+.Fn ceill
+functions conform to
+.St -isoC-99 .

man/cexp.3

@@ -0,0 +1,113 @@
+.\" Copyright (c) 2011 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/cexp.3,v 1.1 2011/03/07 03:09:24 das Exp $
+.\"
+.Dd March 6, 2011
+.Dt CEXP 3
+.Os
+.Sh NAME
+.Nm cexp ,
+.Nm cexpf
+.Nd complex exponential functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double complex
+.Fn cexp "double complex z"
+.Ft float complex
+.Fn cexpf "float complex z"
+.Sh DESCRIPTION
+The
+.Fn cexp
+and
+.Fn cexpf
+functions compute the complex exponential of
+.Fa z ,
+also known as
+.Em cis Ns ( Ns
+.Fa z Ns )
+.Sh RETURN VALUES
+For real numbers
+.Fa x
+and
+.Fa y ,
+.Fn cexp
+behaves according to Euler's formula:
+.Bd -ragged -offset indent
+.Fn cexp "x + I*y"
+=
+.Ns ( Sy e Ns ** Ns
+.Fa x *
+.Em cos Ns ( Ns
+.Fa y Ns )) + ( Ns
+.Sy I
+*
+.Sy e Ns ** Ns
+.Fa x
+*
+.Em sin Ns ( Ns
+.Fa y Ns ))
+.Ed
+.Pp
+Generally speaking, infinities, zeroes and \*(Nas are handled as would
+be expected from this identity given the usual rules of floating-point
+arithmetic.
+However, care is taken to avoid generating \*(Nas when they are not deserved.
+For example, mathematically we expect that
+.Fo cimag
+.Fn cexp "x + I*0" Fc
+= 0 regardless of the value of
+.Fa x ,
+and
+.Fn cexp
+preserves this identity even if
+.Fa x
+is \*(If or \*(Na.
+Likewise,
+.Fn cexp "-\*(If + I*y"
+= 0 and
+.Fo creal
+.Fn cexp "\*(If + I*y" Fc
+= \*(If
+for any
+.Fa y
+(even though the latter property is only mathematically true for
+representable
+.Fa y . )
+If
+.Fa y
+is not finite, the sign of the result is indeterminate.
+.Sh SEE ALSO
+.Xr complex 3 ,
+.Xr exp 3 ,
+.Xr math 3 ,
+.Sh STANDARDS
+The
+.Fn cexp
+and
+.Fn cexpf
+functions conform to
+.St -isoC-99 .

man/cimag.3

@@ -0,0 +1,121 @@
+.\" Copyright (c) 2004 Stefan Farfeleder
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/cimag.3,v 1.4 2010/03/12 10:01:06 uqs Exp $
+.\"
+.Dd August 7, 2008
+.Dt CIMAG 3
+.Os
+.Sh NAME
+.Nm cimag , cimagf , cimagl ,
+.Nm conj , conjf , conjl ,
+.Nm cproj , cprojf , cprojl ,
+.Nm creal , crealf , creall
+.Nd "functions to manipulate complex numbers"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double
+.Fn cimag "double complex z"
+.Ft float
+.Fn cimagf "float complex z"
+.Ft "long double"
+.Fn cimagl "long double complex z"
+.Ft "double complex"
+.Fn conj "double complex z"
+.Ft "float complex"
+.Fn conjf "float complex z"
+.Ft "long double complex"
+.Fn conjl "long double complex z"
+.Ft "double complex"
+.Fn cproj "double complex z"
+.Ft "float complex"
+.Fn cprojf "float complex z"
+.Ft "long double complex"
+.Fn cprojl "long double complex z"
+.Ft double
+.Fn creal "double complex z"
+.Ft float
+.Fn crealf "float complex z"
+.Ft "long double"
+.Fn creall "long double complex z"
+.Sh DESCRIPTION
+Let
+.Sm off
+.Fa a + b * Em i
+.Sm on
+denote the complex number
+.Fa z .
+.Pp
+The
+.Fn creal
+functions return the real part
+.Fa a ,
+and the
+.Fn cimag
+functions return the imaginary part
+.Fa b .
+.Pp
+The
+.Fn conj
+functions return the complex conjugate
+.Sm off
+.Fa a - b * Em i .
+.Sm on
+.Pp
+The
+.Fn cproj
+functions return the projection onto the Riemann sphere.
+If
+.Fa z
+contains an infinite component, then the result is
+.Fa \*(If \*(Pm 0 Ns * Ns Em i ,
+where the (zero) imaginary part of the result has the same sign as
+.Fa b .
+Otherwise, the result is
+.Fa z .
+.Pp
+These functions do not signal any floating point exceptions.
+.Sh STANDARDS
+The
+.Fn cimag ,
+.Fn conj ,
+.Fn cproj ,
+and
+.Fn creal
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn cimag ,
+.Fn conj
+and
+.Fn creal
+functions first appeared in
+.Fx 5.3 .
+The
+.Fn cproj
+functions appeared in
+.Fx 8.0 .

man/complex.3

@@ -0,0 +1,130 @@
+.\" Copyright (c) 2011 Murray Stokely <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/complex.3,v 1.3 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd October 17, 2011
+.Dt COMPLEX 3
+.Os
+.Sh NAME
+.Nm complex
+.Nd "complex arithmetic"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Sh DESCRIPTION
+These functions support complex arithmetic in the C math library.
+.Sh "LIST OF FUNCTIONS"
+Each of the following
+.Vt "double complex"
+functions has a
+.Vt "float complex"
+counterpart with an
+.Ql f
+appended to the name and a
+.Vt "long double complex"
+counterpart with an
+.Ql l
+appended.
+As an example, the
+.Vt "float complex"
+and
+.Vt "long double complex"
+counterparts of
+.Ft double
+.Fn cabs "double complex z"
+are
+.Ft float
+.Fn cabsf "float complex z"
+and
+.Ft "long double"
+.Fn cabsl "long double complex z" ,
+respectively.
+.de Cl
+.Bl -column "csqrt" "complex absolute value (i.e. norm, modulus, magnitude)"
+.Em "Name	Description"
+..
+.\" Section 7.3.5 - 7.3.7 of ISO C99 standard unimplemented, see BUGS
+.\" Section 7.3.8 of ISO C99 standard
+.Ss Absolute-value Functions
+.Cl
+cabs	complex absolute value (i.e. norm, modulus, magnitude)
+csqrt	complex square root
+.El
+.Ss Exponential Function
+.Cl
+cexp	exponential base e
+.El
+.\" Section 7.3.9 of ISO C99 standard
+.Ss Manipulation Functions
+.Cl
+carg	compute the argument (i.e. phase angle)
+cimag	compute the imaginary part
+conj	compute the complex conjugate
+cproj	compute projection onto Riemann sphere
+creal	compute the real part
+.El
+.\" Section 7.3.5-6 of ISO C99 standard
+.Ss Trigonometric and Hyperbolic Functions
+.Cl
+ccos	cosine
+ccosh	hyperbolic cosine
+csin	sine
+csinh	hyperbolic sine
+ctan	tangent
+ctanh	hyperbolic tangent
+.El
+.Sh SEE ALSO
+.Xr math 3 ,
+.Xr fenv 3 ,
+.Xr ieee 3 ,
+.Xr tgmath 3
+.Rs
+.%T "ISO/IEC 9899:TC3"
+.%U http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1256.pdf
+.Re
+.Sh STANDARDS
+The
+.In complex.h
+functions described here conform to
+.St -isoC-99 .
+.Sh BUGS
+The inverse trigonmetric and hyperbolic functions
+.Fn cacos ,
+.Fn cacosh ,
+.Fn casin ,
+.Fn casinh ,
+.Fn catan ,
+and
+.Fn catanh
+are not implemented.
+.Pp
+The logarithmic functions
+.Fn clog
+are not implemented.
+.Pp
+The power functions
+.Fn cpow
+are not implemented.

man/copysign.3

@@ -0,0 +1,86 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/copysign.3,v 1.2 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd January 26, 2005
+.Dt COPYSIGN 3
+.Os
+.Sh NAME
+.Nm copysign ,
+.Nm copysignf ,
+.Nm copysignl
+.Nd copy sign
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn copysign "double x" "double y"
+.Ft float
+.Fn copysignf "float x" "float y"
+.Ft long double
+.Fn copysignl "long double x" "long double y"
+.Sh DESCRIPTION
+The
+.Fn copysign ,
+.Fn copysignf
+and
+.Fn copysignl
+functions
+return
+.Fa x
+with its sign changed to
+.Fa y Ns 's .
+.Sh SEE ALSO
+.Xr fabs 3 ,
+.Xr fdim 3 ,
+.Xr ieee 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn copysign ,
+.Fn copysignf ,
+and
+.Fn copysignl
+routines conform to
+.St -isoC-99 .
+They implement the Copysign function recommended by
+.St -ieee754 .
+.Sh HISTORY
+The
+.Fn copysign ,
+.Fn copysignf ,
+and
+.Fn copysignl
+functions appeared in
+.Bx 4.3 ,
+.Fx 2.0 ,
+and
+.Fx 5.3 ,
+respectively.

man/cos.3

@@ -0,0 +1,83 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)cos.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/cos.3,v 1.15 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd January 24, 2008
+.Dt COS 3
+.Os
+.Sh NAME
+.Nm cos ,
+.Nm cosf ,
+.Nm cosl
+.Nd cosine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn cos "double x"
+.Ft float
+.Fn cosf "float x"
+.Ft long double
+.Fn cosl "long double x"
+.Sh DESCRIPTION
+The
+.Fn cos ,
+.Fn cosf ,
+and
+.Fn cosl
+functions compute the cosine of
+.Fa x
+(measured in radians).
+A large magnitude argument may yield a result with little or no
+significance.
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn cos ,
+.Fn cosf ,
+and
+.Fn cosl
+functions return the cosine value.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr ccos 3 ,
+.Xr cosh 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/cosh.3

@@ -0,0 +1,69 @@
+.\" Copyright (c) 1989, 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)cosh.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/cosh.3,v 1.14 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd January 14, 2005
+.Dt COSH 3
+.Os
+.Sh NAME
+.Nm cosh ,
+.Nm coshf
+.Nd hyperbolic cosine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn cosh "double x"
+.Ft float
+.Fn coshf "float x"
+.Sh DESCRIPTION
+The
+.Fn cosh
+and the
+.Fn coshf
+functions compute the hyperbolic cosine of
+.Fa x .
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr ccosh 3 ,
+.Xr cos 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn cosh
+function conforms to
+.St -isoC .

man/csqrt.3

@@ -0,0 +1,102 @@
+.\" Copyright (c) 2007-2008 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/csqrt.3,v 1.2 2008/03/30 20:07:15 das Exp $
+.\"
+.Dd March 30, 2008
+.Dt CSQRT 3
+.Os
+.Sh NAME
+.Nm csqrt ,
+.Nm csqrtf ,
+.Nm csqrtl
+.Nd complex square root functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In complex.h
+.Ft double complex
+.Fn csqrt "double complex z"
+.Ft float complex
+.Fn csqrtf "float complex z"
+.Ft long double complex
+.Fn csqrtl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn csqrt ,
+.Fn csqrtf ,
+and
+.Fn csqrtl
+functions compute the square root of
+.Fa z
+in the complex plane, with a branch cut along the negative real axis.
+In other words,
+.Fn csqrt ,
+.Fn csqrtf ,
+and
+.Fn csqrtl
+always return the square root whose real part is non-negative.
+.Sh RETURN VALUES
+These functions return the requested square root.
+The square root of 0 is
+.Li +0 \*(Pm 0 ,
+where the imaginary parts of the input and respective result have
+the same sign.
+For infinities and \*(Nas, the following rules apply, with the
+earlier rules having precedence:
+.Bl -column -offset indent "-\*(If + \*(Na*I" "\*(If \*(Pm \*(If*I  " "(for all k)"
+.Em Input	Result
+k + \*(If*I	\*(If + \*(If*I	(for all k)
+-\*(If + \*(Na*I	\*(Na \*(Pm \*(If*I
+\*(If + \*(Na*I	\*(If + \*(Na*I
+k + \*(Na*I	\*(Na + \*(Na*I
+\*(Na + k*I	\*(Na + \*(Na*I
+-\*(If + k*I	+0 + \*(If*I
+\*(If + k*I	\*(If + 0*I
+.El
+.Pp
+For numbers with negative imaginary parts, the above special cases
+apply given the identity:
+.Dl csqrt(conj(z) = conj(sqrt(z))
+Note that the sign of \*(Na is indeterminate.
+Also, if the real or imaginary part of the input is finite and
+an \*(Na is generated, an invalid exception will be thrown.
+.Sh SEE ALSO
+.Xr cabs 3 ,
+.Xr fenv 3 ,
+.Xr math 3 ,
+.Sh STANDARDS
+The
+.Fn csqrt ,
+.Fn csqrtf ,
+and
+.Fn csqrtl
+functions conform to
+.St -isoC-99 .
+.Sh BUGS
+For
+.Fn csqrt
+and
+.Fn csqrtl ,
+inexact results are not always correctly rounded.

man/erf.3

@@ -0,0 +1,93 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)erf.3	6.4 (Berkeley) 4/20/91
+.\" $FreeBSD: src/lib/msun/man/erf.3,v 1.12 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd April 20, 1991
+.Dt ERF 3
+.Os
+.Sh NAME
+.Nm erf ,
+.Nm erff ,
+.Nm erfc ,
+.Nm erfcf
+.Nd error function operators
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn erf "double x"
+.Ft float
+.Fn erff "float x"
+.Ft double
+.Fn erfc "double x"
+.Ft float
+.Fn erfcf "float x"
+.Sh DESCRIPTION
+These functions calculate the error function of
+.Fa x .
+.Pp
+The
+.Fn erf
+and the
+.Fn erff
+functions calculate the error function of x; where
+.Bd -ragged -offset indent
+.if n \{\
+erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt.
+\}
+.if t \{\
+erf\|(x) :=
+(2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt.
+\}
+.Ed
+.Pp
+The
+.Fn erfc
+and the
+.Fn erfcf
+functions calculate the complementary error function of
+.Fa x ;
+that is
+.Fn erfc
+subtracts the result of the error function
+.Fn erf x
+from 1.0.
+This is useful, since for large
+.Fa x
+places disappear.
+.Sh SEE ALSO
+.Xr math 3
+.Sh HISTORY
+The
+.Fn erf
+and
+.Fn erfc
+functions appeared in
+.Bx 4.3 .

man/exp.3

@@ -0,0 +1,177 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)exp.3	6.12 (Berkeley) 7/31/91
+.\" $FreeBSD: src/lib/msun/man/exp.3,v 1.24 2008/01/18 21:43:00 das Exp $
+.\"
+.Dd January 17, 2008
+.Dt EXP 3
+.Os
+.Sh NAME
+.Nm exp ,
+.Nm expf ,
+.\" The sorting error is intentional.  exp and expf should be adjacent.
+.Nm exp2 ,
+.Nm exp2f ,
+.Nm exp2l ,
+.Nm expm1 ,
+.Nm expm1f ,
+.Nm pow ,
+.Nm powf
+.Nd exponential and power functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn exp "double x"
+.Ft float
+.Fn expf "float x"
+.Ft double
+.Fn exp2 "double x"
+.Ft float
+.Fn exp2f "float x"
+.Ft long double
+.Fn exp2l "long double x"
+.Ft double
+.Fn expm1 "double x"
+.Ft float
+.Fn expm1f "float x"
+.Ft double
+.Fn pow "double x" "double y"
+.Ft float
+.Fn powf "float x" "float y"
+.Sh DESCRIPTION
+The
+.Fn exp
+and the
+.Fn expf
+functions compute the base
+.Ms e
+exponential value of the given argument
+.Fa x .
+.Pp
+The
+.Fn exp2 ,
+.Fn exp2f ,
+and
+.Fn exp2l
+functions compute the base 2 exponential of the given argument
+.Fa x .
+.Pp
+The
+.Fn expm1
+and the
+.Fn expm1f
+functions compute the value exp(x)\-1 accurately even for tiny argument
+.Fa x .
+.Pp
+The
+.Fn pow
+and the
+.Fn powf
+functions compute the value
+of
+.Ar x
+to the exponent
+.Ar y .
+.Sh ERROR (due to Roundoff etc.)
+The values of
+.Fn exp 0 ,
+.Fn expm1 0 ,
+.Fn exp2 integer ,
+and
+.Fn pow integer integer
+are exact provided that they are representable.
+.\" XXX Is this really true for pow()?
+Otherwise the error in these functions is generally below one
+.Em ulp .
+.Sh RETURN VALUES
+These functions will return the appropriate computation unless an error
+occurs or an argument is out of range.
+The functions
+.Fn pow x y
+and
+.Fn powf x y
+raise an invalid exception and return an \*(Na if
+.Fa x
+< 0 and
+.Fa y
+is not an integer.
+.Sh NOTES
+The function
+.Fn pow x 0
+returns x**0 = 1 for all x including x = 0, \*(If, and \*(Na .
+Previous implementations of pow may
+have defined x**0 to be undefined in some or all of these
+cases.
+Here are reasons for returning x**0 = 1 always:
+.Bl -enum -width indent
+.It
+Any program that already tests whether x is zero (or
+infinite or \*(Na) before computing x**0 cannot care
+whether 0**0 = 1 or not.
+Any program that depends
+upon 0**0 to be invalid is dubious anyway since that
+expression's meaning and, if invalid, its consequences
+vary from one computer system to another.
+.It
+Some Algebra texts (e.g.\& Sigler's) define x**0 = 1 for
+all x, including x = 0.
+This is compatible with the convention that accepts a[0]
+as the value of polynomial
+.Bd -literal -offset indent
+p(x) = a[0]\(**x**0 + a[1]\(**x**1 + a[2]\(**x**2 +...+ a[n]\(**x**n
+.Ed
+.Pp
+at x = 0 rather than reject a[0]\(**0**0 as invalid.
+.It
+Analysts will accept 0**0 = 1 despite that x**y can
+approach anything or nothing as x and y approach 0
+independently.
+The reason for setting 0**0 = 1 anyway is this:
+.Bd -ragged -offset indent
+If x(z) and y(z) are
+.Em any
+functions analytic (expandable
+in power series) in z around z = 0, and if there
+x(0) = y(0) = 0, then x(z)**y(z) \(-> 1 as z \(-> 0.
+.Ed
+.It
+If 0**0 = 1, then
+\*(If**0 = 1/0**0 = 1 too; and
+then \*(Na**0 = 1 too because x**0 = 1 for all finite
+and infinite x, i.e., independently of x.
+.El
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr ldexp 3 ,
+.Xr log 3 ,
+.Xr math 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/fabs.3

@@ -0,0 +1,83 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\"	@(#)fabs.3	5.1 (Berkeley) 5/2/91
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)fabs.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/fabs.3,v 1.12 2007/01/09 01:02:05 imp Exp $
+.\"
+.Dd October 25, 2003
+.Dt FABS 3
+.Os
+.Sh NAME
+.Nm fabs ,
+.Nm fabsf ,
+.Nm fabsl
+.Nd floating-point absolute value functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn fabs "double x"
+.Ft float
+.Fn fabsf "float x"
+.Ft long double
+.Fn fabsl "long double x"
+.Sh DESCRIPTION
+The
+.Fn fabs ,
+.Fn fabsf
+and
+.Fn fabsl
+functions compute the absolute value of a floating-point number
+.Fa x .
+.Sh RETURN VALUES
+The
+.Fn fabs ,
+.Fn fabsf
+and
+.Fn fabsl
+functions return the absolute value of
+.Fa x .
+.Sh SEE ALSO
+.Xr abs 3 ,
+.Xr ceil 3 ,
+.Xr floor 3 ,
+.Xr ieee 3 ,
+.Xr math 3 ,
+.Xr rint 3
+.Sh STANDARDS
+The
+.Fn fabs
+function conforms to
+.St -isoC .
+The
+.Fn fabsf
+and
+.Fn fabsl
+functions conform to
+.St -isoC-99 .

man/fdim.3

@@ -0,0 +1,86 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fdim.3,v 1.2 2010/08/16 15:18:30 joel Exp $
+.\"
+.Dd June 29, 2004
+.Dt FDIM 3
+.Os
+.Sh NAME
+.Nm fdim ,
+.Nm fdimf ,
+.Nm fdiml
+.Nd positive difference functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn fdim "double x" "double y"
+.Ft float
+.Fn fdimf "float x" "float y"
+.Ft long double
+.Fn fdiml "long double x" "long double y"
+.Sh DESCRIPTION
+The
+.Fn fdim ,
+.Fn fdimf ,
+and
+.Fn fdiml
+functions return the positive difference between
+.Fa x
+and
+.Fa y .
+That is, if
+.Fa x\- Ns Fa y
+is positive, then
+.Fa x\- Ns Fa y
+is returned.
+If either
+.Fa x
+or
+.Fa y
+is an \*(Na, then an \*(Na is returned.
+Otherwise, the result is
+.Li +0.0 .
+.Pp
+Overflow or underflow may occur if the exact result is not
+representable in the return type.
+No other exceptions are raised.
+.Sh SEE ALSO
+.Xr fabs 3 ,
+.Xr fmax 3 ,
+.Xr fmin 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn fdim ,
+.Fn fdimf ,
+and
+.Fn fdiml
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+These routines first appeared in
+.Fx 5.3 .

man/feclearexcept.3

@@ -0,0 +1,139 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/feclearexcept.3,v 1.3 2005/01/14 09:12:05 ru Exp $
+.\"
+.Dd May 8, 2004
+.Dt FECLEAREXCEPT 3
+.Os
+.Sh NAME
+.Nm feclearexcept ,
+.Nm fegetexceptflag ,
+.Nm feraiseexcept ,
+.Nm fesetexceptflag ,
+.Nm fetestexcept
+.Nd floating-point exception flag manipulation
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In fenv.h
+.Fd "#pragma STDC FENV_ACCESS ON"
+.Ft int
+.Fn feclearexcept "int excepts"
+.Ft int
+.Fn fegetexceptflag "fexcept_t *flagp" "int excepts"
+.Ft int
+.Fn feraiseexcept "int excepts"
+.Ft int
+.Fn fesetexceptflag "const fexcept_t *flagp" "int excepts"
+.Ft int
+.Fn fetestexcept "int excepts"
+.Sh DESCRIPTION
+The
+.Fn feclearexcept
+routine clears the floating-point exception flags specified by
+.Fa excepts ,
+whereas
+.Fn feraiseexcept
+raises the specified exceptions.
+Raising an exception causes the corresponding flag to be set,
+and a
+.Dv SIGFPE
+is delivered to the process if the exception is unmasked.
+.Pp
+The
+.Fn fetestexcept
+function determines which flags are currently set, of those specified by
+.Fa excepts .
+.Pp
+The
+.Fn fegetexceptflag
+function stores the state of the exception flags specified in
+.Fa excepts
+in the opaque object pointed to by
+.Fa flagp .
+Similarly,
+.Fn fesetexceptflag
+changes the specified exception flags to reflect the state stored in
+the object pointed to by
+.Fa flagp .
+Note that the flags restored with
+.Fn fesetexceptflag
+must be a (not necessarily proper) subset of the flags recorded by
+a prior call to
+.Fn fegetexceptflag .
+.Pp
+For all of these functions, the possible types of exceptions
+include those described in
+.Xr fenv 3 .
+Some architectures may define other types of floating-point exceptions.
+.Sh IMPLEMENTATION NOTES
+On some architectures, raising an overflow or underflow exception
+also causes an inexact exception to be raised.
+In these cases, the overflow or underflow will be raised first.
+.Pp
+The
+.Fn fegetexceptflag
+and
+.Fn fesetexceptflag
+routines are preferred to
+.Fn fetestexcept
+and
+.Fn feraiseexcept ,
+respectively, for saving and restoring exception flags.
+The latter do not re-raise exceptions and may preserve
+architecture-specific information such as addresses where
+exceptions occurred.
+.Sh RETURN VALUES
+The
+.Fn feclearexcept ,
+.Fn fegetexceptflag ,
+.Fn feraiseexcept ,
+and
+.Fn fesetexceptflag
+functions return 0 upon success, and non-zero otherwise.
+The
+.Fn fetestexcept
+function returns the bitwise OR of the values of the current exception
+flags that were requested.
+.Sh SEE ALSO
+.Xr sigaction 2 ,
+.Xr feholdexcept 3 ,
+.Xr fenv 3 ,
+.Xr feupdateenv 3 ,
+.Xr fpgetsticky 3 ,
+.Xr fpresetsticky 3
+.Sh STANDARDS
+The
+.Fn feclearexcept ,
+.Fn fegetexceptflag ,
+.Fn feraiseexcept ,
+.Fn fesetexceptflag ,
+and
+.Fn fetestexcept
+routines conform to
+.St -isoC-99 .
+.Sh HISTORY
+These functions first appeared in
+.Fx 5.3 .

man/feenableexcept.3

@@ -0,0 +1,98 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/feenableexcept.3,v 1.1 2005/03/16 19:04:28 das Exp $
+.\"
+.Dd March 16, 2005
+.Dt FEENABLEEXCEPT 3
+.Os
+.Sh NAME
+.Nm feenableexcept ,
+.Nm fedisableexcept ,
+.Nm fegetexcept
+.Nd floating-point exception masking
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In fenv.h
+.Fd "#pragma STDC FENV_ACCESS ON"
+.Ft int
+.Fn feenableexcept "int excepts"
+.Ft int
+.Fn fedisableexcept "int excepts"
+.Ft int
+.Fn fegetexcept "void"
+.Sh DESCRIPTION
+The
+.Fn feenableexcept
+and
+.Fn fedisableexcept
+functions
+unmask and mask (respectively) exceptions specified in
+.Fa excepts .
+The
+.Fn fegetexcept
+function
+returns the current exception mask.
+All exceptions are masked by default.
+.Pp
+Floating-point operations that produce unmasked exceptions will trap, and a
+.Dv SIGFPE
+will be delivered to the process.
+By installing a signal handler for
+.Dv SIGFPE ,
+applications can take appropriate action immediately without
+testing the exception flags after every operation.
+Note that the trap may not be immediate, but it should occur
+before the next floating-point instruction is executed.
+.Pp
+For all of these functions, the possible types of exceptions
+include those described in
+.Xr fenv 3 .
+Some architectures may define other types of floating-point exceptions.
+.Sh RETURN VALUES
+The
+.Fn feenableexcept ,
+.Fn fedisableexcept ,
+and
+.Fn fegetexcept
+functions return a bitmap of the exceptions that were unmasked
+prior to the call.
+.Sh SEE ALSO
+.Xr sigaction 2 ,
+.Xr feclearexcept 3 ,
+.Xr feholdexcept 3 ,
+.Xr fenv 3 ,
+.Xr feupdateenv 3
+.Sh BUGS
+Functions in the standard library may trigger exceptions multiple
+times as a result of intermediate computations;
+however, they generally do not trigger spurious exceptions.
+.Pp
+No interface is provided to permit exceptions to be handled in
+nontrivial ways.
+There is no uniform way for an exception handler to access
+information about the exception-causing instruction, or
+to determine whether that instruction should be reexecuted
+after returning from the handler.

man/fegetenv.3

@@ -0,0 +1,113 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fegetenv.3,v 1.1 2004/06/06 10:06:26 das Exp $
+.\"
+.Dd May 8, 2004
+.Dt FEGETENV 3
+.Os
+.Sh NAME
+.Nm fegetenv ,
+.Nm feholdexcept ,
+.Nm fesetenv ,
+.Nm feupdateenv
+.Nd floating-point environment save and restore
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In fenv.h
+.Fd "#pragma STDC FENV_ACCESS ON"
+.Ft int
+.Fn fegetenv "fenv_t *envp"
+.Ft int
+.Fn feholdexcept "fenv_t *envp"
+.Ft int
+.Fn fesetenv "const fenv_t *envp"
+.Ft int
+.Fn feupdateenv "const fenv_t *envp"
+.Sh DESCRIPTION
+The floating-point environment includes exception flags and masks, the
+current rounding mode, and other architecture-specific settings.
+However, it does not include the floating-point register file.
+.Pp
+The
+.Fn fegetenv
+function stores the current floating-point environment in the object
+pointed to by
+.Fa envp ,
+whereas
+.Fn feholdexcept
+saves the current environment, then clears all exception flags
+and masks all floating-point exceptions.
+.Pp
+The
+.Fn fesetenv
+function restores a previously saved environment.
+The
+.Fn feupdateenv
+function restores a saved environment as well, but it also
+raises any exceptions that were set in the environment it
+replaces.
+.Pp
+The
+.Fn feholdexcept
+function is often used with
+.Fn feupdateenv
+or
+.Fn fesetenv
+to suppress spurious exceptions that occur as a result of
+intermediate computations.
+An example in
+.Xr fenv 3
+demonstrates how to do this.
+.Sh RETURN VALUES
+The
+.Fn fegetenv ,
+.Fn feholdexcept ,
+.Fn fesetenv ,
+and
+.Fn feupdateenv
+functions return 0 if they succeed, and non-zero otherwise.
+.Sh SEE ALSO
+.Xr feclearexcept 3 ,
+.Xr fenv 3 ,
+.Xr feraiseexcept 3 ,
+.Xr fesetenv 3 ,
+.Xr fetestexcept 3 ,
+.Xr fpgetmask 3 ,
+.Xr fpgetprec 3 ,
+.Xr fpsetmask 3 ,
+.Xr fpsetprec 3
+.Sh STANDARDS
+The
+.Fn fegetenv ,
+.Fn feholdexcept ,
+.Fn fesetenv ,
+and
+.Fn feupdateenv
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+These routines first appeared in
+.Fx 5.3 .

man/fegetround.3

@@ -0,0 +1,83 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fegetround.3,v 1.2 2005/01/14 09:12:05 ru Exp $
+.\"
+.Dd May 8, 2004
+.Dt FEGETROUND 3
+.Os
+.Sh NAME
+.Nm fegetround ,
+.Nm fesetround
+.Nd floating-point rounding control
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In fenv.h
+.Fd "#pragma STDC FENV_ACCESS ON"
+.Ft int
+.Fn fegetround void
+.Ft int
+.Fn fesetround "int round"
+.Sh DESCRIPTION
+The
+.Fn fegetround
+function determines the current floating-point rounding mode,
+and the
+.Fn fesetround
+function sets the current rounding mode to
+.Fa round .
+The rounding mode is one of
+.Dv FE_TONEAREST , FE_DOWNWARD , FE_UPWARD ,
+or
+.Dv FE_TOWARDZERO ,
+as described in
+.Xr fenv 3 .
+.Sh RETURN VALUES
+The
+.Fn fegetround
+routine returns the current rounding mode.
+The
+.Fn fesetround
+function returns 0 on success and non-zero otherwise;
+however, the present implementation always succeeds.
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr fpgetround 3 ,
+.Xr fpsetround 3
+.Sh STANDARDS
+The
+.Fn fegetround
+and
+.Fn fesetround
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+These routines first appeared in
+.Fx 5.3 .
+They supersede the non-standard
+.Xr fpgetround 3
+and
+.Xr fpsetround 3
+functions.

man/fenv.3

@@ -0,0 +1,293 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fenv.3,v 1.8 2011/10/21 14:23:59 das Exp $
+.\"
+.Dd March 16, 2005
+.Dt FENV 3
+.Os
+.Sh NAME
+.Nm feclearexcept ,
+.Nm fegetexceptflag ,
+.Nm feraiseexcept ,
+.Nm fesetexceptflag ,
+.Nm fetestexcept ,
+.Nm fegetround ,
+.Nm fesetround ,
+.Nm fegetenv ,
+.Nm feholdexcept ,
+.Nm fesetenv ,
+.Nm feupdateenv ,
+.Nm feenableexcept ,
+.Nm fedisableexcept ,
+.Nm fegetexcept
+.Nd floating-point environment control
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In fenv.h
+.Fd "#pragma STDC FENV_ACCESS ON"
+.Ft int
+.Fn feclearexcept "int excepts"
+.Ft int
+.Fn fegetexceptflag "fexcept_t *flagp" "int excepts"
+.Ft int
+.Fn feraiseexcept "int excepts"
+.Ft int
+.Fn fesetexceptflag "const fexcept_t *flagp" "int excepts"
+.Ft int
+.Fn fetestexcept "int excepts"
+.Ft int
+.Fn fegetround void
+.Ft int
+.Fn fesetround "int round"
+.Ft int
+.Fn fegetenv "fenv_t *envp"
+.Ft int
+.Fn feholdexcept "fenv_t *envp"
+.Ft int
+.Fn fesetenv "const fenv_t *envp"
+.Ft int
+.Fn feupdateenv "const fenv_t *envp"
+.Ft int
+.Fn feenableexcept "int excepts"
+.Ft int
+.Fn fedisableexcept "int excepts"
+.Ft int
+.Fn fegetexcept void
+.Sh DESCRIPTION
+The
+.In fenv.h
+routines manipulate the floating-point environment,
+which includes the exception flags and rounding modes defined in
+.St -ieee754 .
+.Ss Exceptions
+Exception flags are set as side-effects of floating-point arithmetic
+operations and math library routines, and they remain set until
+explicitly cleared.
+The following macros expand to bit flags of type
+.Vt int
+representing the five standard floating-point exceptions.
+.Bl -tag -width ".Dv FE_DIVBYZERO"
+.It Dv FE_DIVBYZERO
+A divide-by-zero exception occurs when the
+.Em exact
+result of a computation is infinite (according to the limit definition).
+For example, dividing a finite non-zero number by zero or computing
+.Fn log 0
+raises a divide-by-zero exception.
+.It Dv FE_INEXACT
+An inexact exception is raised whenever there is a loss of accuracy
+due to rounding.
+.It Dv FE_INVALID
+Invalid operation exceptions occur when a program attempts to
+perform calculations for which there is no reasonable representable
+answer.
+For instance, subtraction of like-signed infinities, division of zero by zero,
+ordered comparison involving \*(Nas, and taking the real square root of a
+negative number are all invalid operations.
+.It Dv FE_OVERFLOW
+In contrast with divide-by-zero,
+an overflow exception occurs when an infinity is produced because
+the magnitude of the exact result is
+.Em finite
+but too large to fit in the destination type.
+For example, computing
+.Li DBL_MAX * 2
+raises an overflow exception.
+.It Dv FE_UNDERFLOW
+Underflow occurs when the result of a computation loses precision
+because it is too close to zero.
+The result is a subnormal number or zero.
+.El
+.Pp
+Additionally, the
+.Dv FE_ALL_EXCEPT
+macro expands to the bitwise OR of the above flags and any
+architecture-specific flags.
+Combinations of these flags are passed to the
+.Fn feclearexcept ,
+.Fn fegetexceptflag ,
+.Fn feraiseexcept ,
+.Fn fesetexceptflag ,
+and
+.Fn fetestexcept
+functions to clear, save, raise, restore, and examine the
+processor's floating-point exception flags, respectively.
+.Pp
+Exceptions may be
+.Em unmasked
+with
+.Fn feenableexcept
+and masked with
+.Fn fedisableexcept .
+Unmasked exceptions cause a trap when they are produced, and
+all exceptions are masked by default.
+The current mask can be tested with
+.Fn fegetexcept .
+.Ss Rounding Modes
+.St -ieee754
+specifies four rounding modes.
+These modes control the direction in which results are rounded
+from their exact values in order to fit them into binary
+floating-point variables.
+The four modes correspond with the following symbolic constants.
+.Bl -tag -width ".Dv FE_TOWARDZERO"
+.It Dv FE_TONEAREST
+Results are rounded to the closest representable value.
+If the exact result is exactly half way between two representable
+values, the value whose last binary digit is even (zero) is chosen.
+This is the default mode.
+.It Dv FE_DOWNWARD
+Results are rounded towards negative \*[If].
+.It Dv FE_UPWARD
+Results are rounded towards positive \*[If].
+.It Dv FE_TOWARDZERO
+Results are rounded towards zero.
+.El
+.Pp
+The
+.Fn fegetround
+and
+.Fn fesetround
+functions query and set the rounding mode.
+.Ss Environment Control
+The
+.Fn fegetenv
+and
+.Fn fesetenv
+functions save and restore the floating-point environment,
+which includes exception flags, the current exception mask,
+the rounding mode, and possibly other implementation-specific
+state.
+The
+.Fn feholdexcept
+function behaves like
+.Fn fegetenv ,
+but with the additional effect of clearing the exception flags and
+installing a
+.Em non-stop
+mode.
+In non-stop mode, floating-point operations will set exception flags
+as usual, but no
+.Dv SIGFPE
+signals will be generated as a result.
+Non-stop mode is the default, but it may be altered by
+.Fn feenableexcept
+and
+.Fn fedisableexcept .
+The
+.Fn feupdateenv
+function restores a saved environment similarly to
+.Fn fesetenv ,
+but it also re-raises any floating-point exceptions from the old
+environment.
+.Pp
+The macro
+.Dv FE_DFL_ENV
+expands to a pointer to the default environment.
+.Sh EXAMPLES
+The following routine computes the square root function.
+It explicitly raises an invalid exception on appropriate inputs using
+.Fn feraiseexcept .
+It also defers inexact exceptions while it computes intermediate
+values, and then it allows an inexact exception to be raised only if
+the final answer is inexact.
+.Bd -literal -offset indent
+#pragma STDC FENV_ACCESS ON
+double sqrt(double n) {
+	double x = 1.0;
+	fenv_t env;
+
+	if (isnan(n) || n < 0.0) {
+		feraiseexcept(FE_INVALID);
+		return (NAN);
+	}
+	if (isinf(n) || n == 0.0)
+		return (n);
+	feholdexcept(&env);
+	while (fabs((x * x) - n) > DBL_EPSILON * 2 * x)
+		x = (x / 2) + (n / (2 * x));
+	if (x * x == n)
+		feclearexcept(FE_INEXACT);
+	feupdateenv(&env);
+	return (x);
+}
+.Ed
+.Sh SEE ALSO
+.Xr cc 1 ,
+.Xr feclearexcept 3 ,
+.Xr fedisableexcept 3 ,
+.Xr feenableexcept 3 ,
+.Xr fegetenv 3 ,
+.Xr fegetexcept 3 ,
+.Xr fegetexceptflag 3 ,
+.Xr fegetround 3 ,
+.Xr feholdexcept 3 ,
+.Xr feraiseexcept 3 ,
+.Xr fesetenv 3 ,
+.Xr fesetexceptflag 3 ,
+.Xr fesetround 3 ,
+.Xr fetestexcept 3 ,
+.Xr feupdateenv 3 ,
+.Xr fpgetprec 3 ,
+.Xr fpsetprec 3
+.Sh STANDARDS
+Except as noted below,
+.In fenv.h
+conforms to
+.St -isoC-99 .
+The
+.Fn feenableexcept ,
+.Fn fedisableexcept ,
+and
+.Fn fegetexcept
+routines are extensions.
+.Sh HISTORY
+The
+.In fenv.h
+header first appeared in
+.Fx 5.3 .
+It supersedes the non-standard routines defined in
+.In ieeefp.h
+and documented in
+.Xr fpgetround 3 .
+.Sh CAVEATS
+The FENV_ACCESS pragma can be enabled with
+.Dl "#pragma STDC FENV_ACCESS ON"
+and disabled with the
+.Dl "#pragma STDC FENV_ACCESS OFF"
+directive.
+This lexically-scoped annotation tells the compiler that the program
+may access the floating-point environment, so optimizations that would
+violate strict IEEE-754 semantics are disabled.
+If execution reaches a block of code for which
+.Dv FENV_ACCESS
+is off, the floating-point environment will become undefined.
+.Sh BUGS
+The
+.Dv FENV_ACCESS
+pragma is unimplemented in the system compiler.
+However, non-constant expressions generally produce the correct
+side-effects at low optimization levels.

man/floor.3

@@ -0,0 +1,78 @@
+.\" Copyright (c) 1985, 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)floor.3	6.5 (Berkeley) 4/19/91
+.\" $FreeBSD: src/lib/msun/man/floor.3,v 1.18 2007/01/09 01:02:06 imp Exp $
+.\"
+.Dd January 13, 2005
+.Dt FLOOR 3
+.Os
+.Sh NAME
+.Nm floor ,
+.Nm floorf ,
+.Nm floorl
+.Nd largest integral value less than or equal to x
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn floor "double x"
+.Ft float
+.Fn floorf "float x"
+.Ft "long double"
+.Fn floorl "long double x"
+.Sh DESCRIPTION
+The
+.Fn floor ,
+.Fn floorf
+and
+.Fn floorl
+functions return the largest integral value
+less than or equal to
+.Fa x ,
+expressed as a floating-point number.
+.Sh SEE ALSO
+.Xr abs 3 ,
+.Xr ceil 3 ,
+.Xr fabs 3 ,
+.Xr ieee 3 ,
+.Xr math 3 ,
+.Xr rint 3 ,
+.Xr round 3 ,
+.Xr trunc 3
+.Sh STANDARDS
+The
+.Fn floor
+function conforms to
+.St -isoC .
+The
+.Fn floorf
+and
+.Fn floorl
+functions conform to
+.St -isoC-99 .

man/fma.3

@@ -0,0 +1,116 @@
+.\" Copyright (c) 2005 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fma.3,v 1.3 2005/11/24 09:25:10 joel Exp $
+.\"
+.Dd January 22, 2005
+.Dt FMA 3
+.Os
+.Sh NAME
+.Nm fma ,
+.Nm fmaf ,
+.Nm fmal
+.Nd fused multiply-add
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn fma "double x" "double y" "double z"
+.Ft float
+.Fn fmaf "float x" "float y" "float z"
+.Ft long double
+.Fn fmal "long double x" "long double y" "long double z"
+.Sh DESCRIPTION
+The
+.Fn fma ,
+.Fn fmaf ,
+and
+.Fn fmal
+functions return
+.No "(x * y) + z" ,
+computed with only one rounding error.
+Using the ordinary multiplication and addition operators, by contrast,
+results in two roundings: one for the intermediate product and one for
+the final result.
+.Pp
+For instance, the expression
+.No "1.2e100 * 2.0e208 - 1.4e308"
+produces \*(If due to overflow in the intermediate product, whereas
+.No "fma(1.2e100, 2.0e208, -1.4e308)"
+returns approximately 1.0e308.
+.Pp
+The fused multiply-add operation is often used to improve the
+accuracy of calculations such as dot products.
+It may also be used to improve performance on machines that implement
+it natively.
+The macros
+.Dv FP_FAST_FMA ,
+.Dv FP_FAST_FMAF
+and
+.Dv FP_FAST_FMAL
+may be defined in
+.In math.h
+to indicate that
+.Fn fma ,
+.Fn fmaf ,
+and
+.Fn fmal
+(respectively) have comparable or faster speed than a multiply
+operation followed by an add operation.
+.Sh IMPLEMENTATION NOTES
+In general, these routines will behave as one would expect if
+.No "x * y + z"
+were computed with unbounded precision and range,
+then rounded to the precision of the return type.
+However, on some platforms, if
+.Fa z
+is \*(Na, these functions may not raise an exception even
+when the computation of
+.No "x * y"
+would have otherwise generated an invalid exception.
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn fma ,
+.Fn fmaf ,
+and
+.Fn fmal
+functions conform to
+.St -isoC-99 .
+A fused multiply-add operation with virtually identical
+characteristics appears in IEEE draft standard 754R.
+.Sh HISTORY
+The
+.Fn fma
+and
+.Fn fmaf
+routines first appeared in
+.Fx 5.4 ,
+and
+.Fn fmal
+appeared in
+.Fx 6.0 .

man/fmax.3

@@ -0,0 +1,97 @@
+.\" Copyright (c) 2004 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/fmax.3,v 1.2 2005/01/14 09:12:05 ru Exp $
+.\"
+.Dd June 29, 2004
+.Dt FMAX 3
+.Os
+.Sh NAME
+.Nm fmax ,
+.Nm fmaxf ,
+.Nm fmaxl ,
+.Nm fmin ,
+.Nm fminf ,
+.Nm fminl
+.Nd floating-point maximum and minimum functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn fmax "double x" "double y"
+.Ft float
+.Fn fmaxf "float x" "float y"
+.Ft "long double"
+.Fn fmaxl "long double x" "long double y"
+.Ft double
+.Fn fmin "double x" "double y"
+.Ft float
+.Fn fminf "float x" "float y"
+.Ft "long double"
+.Fn fminl "long double x" "long double y"
+.Sh DESCRIPTION
+The
+.Fn fmax ,
+.Fn fmaxf ,
+and
+.Fn fmaxl
+functions return the larger of
+.Fa x
+and
+.Fa y ,
+and likewise, the
+.Fn fmin ,
+.Fn fminf ,
+and
+.Fn fminl
+functions return the smaller of
+.Fa x
+and
+.Fa y .
+They treat
+.Li +0.0
+as being larger than
+.Li -0.0 .
+If one argument is an \*(Na, then the other argument is returned.
+If both arguments are \*(Nas, then the result is an \*(Na.
+These routines do not raise any floating-point exceptions.
+.Sh SEE ALSO
+.Xr fabs 3 ,
+.Xr fdim 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn fmax ,
+.Fn fmaxf ,
+.Fn fmaxl ,
+.Fn fmin ,
+.Fn fminf ,
+and
+.Fn fminl
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+These routines first appeared in
+.Fx 5.3 .

man/fmod.3

@@ -0,0 +1,87 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)fmod.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/fmod.3,v 1.10 2008/06/19 22:39:53 das Exp $
+.\"
+.Dd June 19, 2008
+.Dt FMOD 3
+.Os
+.Sh NAME
+.Nm fmod ,
+.Nm fmodf ,
+.Nm fmodl
+.Nd floating-point remainder functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn fmod "double x" "double y"
+.Ft float
+.Fn fmodf "float x" "float y"
+.Ft long double
+.Fn fmodl "long double x" "long double y"
+.Sh DESCRIPTION
+The
+.Fn fmod ,
+.Fn fmodf ,
+and
+.Fn fmodl
+functions compute the floating-point remainder of
+.Fa x Ns / Fa y .
+.Sh RETURN VALUES
+If
+.Fa y
+is non-zero, the
+.Fn fmod ,
+.Fn fmodf ,
+and
+.Fn fmodl
+functions return the value
+.Sm off
+.Fa x - Em i * Fa y ,
+.Sm on
+for some integer
+.Em i ,
+such that the result has the same sign as
+.Fa x
+and magnitude less than the magnitude of
+.Fa y .
+If
+.Fa y
+is zero, a \*(Na is produced.
+.Sh SEE ALSO
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn fmod ,
+.Fn fmodf ,
+and
+.Fn fmodl
+functions conform to
+.St -isoC-99 .

man/hypot.3

@@ -0,0 +1,145 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)hypot.3	6.7 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/hypot.3,v 1.18 2010/05/13 12:08:11 uqs Exp $
+.\"
+.Dd March 30, 2008
+.Dt HYPOT 3
+.Os
+.Sh NAME
+.Nm hypot ,
+.Nm hypotf ,
+.Nm hypotl ,
+.Nm cabs ,
+.Nm cabsf ,
+.Nm cabsl
+.Nd Euclidean distance and complex absolute value functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn hypot "double x" "double y"
+.Ft float
+.Fn hypotf "float x" "float y"
+.Ft "long double"
+.Fn hypotl "long double x" "long double y"
+.In complex.h
+.Ft double
+.Fn cabs "double complex z"
+.Ft float
+.Fn cabsf "float complex z"
+.Ft "long double"
+.Fn cabsl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn hypot ,
+.Fn hypotf
+and
+.Fn hypotl
+functions
+compute the
+sqrt(x*x+y*y)
+in such a way that underflow will not happen, and overflow
+occurs only if the final result deserves it.
+The
+.Fn cabs ,
+.Fn cabsf
+and
+.Fn cabsl
+functions compute the complex absolute value of
+.Fa z .
+.Pp
+.Fn hypot "\*(If" "v"
+=
+.Fn hypot "v" "\*(If"
+= +\*(If for all
+.Fa v ,
+including \*(Na.
+.Sh ERROR (due to Roundoff, etc.)
+Below 0.97
+.Em ulps .
+Consequently
+.Fn hypot "5.0" "12.0"
+= 13.0
+exactly;
+in general, hypot and cabs return an integer whenever an
+integer might be expected.
+.Sh NOTES
+As might be expected,
+.Fn hypot "v" "\*(Na"
+and
+.Fn hypot "\*(Na" "v"
+are \*(Na for all
+.Em finite
+.Fa v .
+But programmers
+might be surprised at first to discover that
+.Fn hypot "\(+-\*(If" "\*(Na"
+= +\*(If.
+This is intentional; it happens because
+.Fn hypot "\*(If" "v"
+= +\*(If
+for
+.Em all
+.Fa v ,
+finite or infinite.
+Hence
+.Fn hypot "\*(If" "v"
+is independent of
+.Fa v .
+Unlike the reserved operand fault on a
+.Tn VAX ,
+the
+.Tn IEEE
+\*(Na is designed to
+disappear when it turns out to be irrelevant, as it does in
+.Fn hypot "\*(If" "\*(Na" .
+.Sh SEE ALSO
+.Xr carg 3 ,
+.Xr math 3 ,
+.Xr sqrt 3
+.Sh STANDARDS
+The
+.Fn hypot ,
+.Fn hypotf ,
+.Fn hypotl ,
+.Fn cabs ,
+.Fn cabsf ,
+and
+.Fn cabsl
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+Both a
+.Fn hypot
+function and a
+.Fn cabs
+function
+appeared in
+.At v7 .

man/ieee.3

@@ -0,0 +1,444 @@
+.\" Copyright (c) 1985 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/ieee.3,v 1.25 2011/10/16 14:30:28 eadler Exp $
+.\"
+.Dd January 26, 2005
+.Dt IEEE 3
+.Os
+.Sh NAME
+.Nm ieee
+.Nd IEEE standard 754 for floating-point arithmetic
+.Sh DESCRIPTION
+The IEEE Standard 754 for Binary Floating-Point Arithmetic
+defines representations of floating-point numbers and abstract
+properties of arithmetic operations relating to precision,
+rounding, and exceptional cases, as described below.
+.Ss IEEE STANDARD 754 Floating-Point Arithmetic
+Radix: Binary.
+.Pp
+Overflow and underflow:
+.Bd -ragged -offset indent -compact
+Overflow goes by default to a signed \*(If.
+Underflow is
+.Em gradual .
+.Ed
+.Pp
+Zero is represented ambiguously as +0 or \-0.
+.Bd -ragged -offset indent -compact
+Its sign transforms correctly through multiplication or
+division, and is preserved by addition of zeros
+with like signs; but x\-x yields +0 for every
+finite x.
+The only operations that reveal zero's
+sign are division by zero and
+.Fn copysign x \(+-0 .
+In particular, comparison (x > y, x \(>= y, etc.)\&
+cannot be affected by the sign of zero; but if
+finite x = y then \*(If = 1/(x\-y) \(!= \-1/(y\-x) = \-\*(If.
+.Ed
+.Pp
+Infinity is signed.
+.Bd -ragged -offset indent -compact
+It persists when added to itself
+or to any finite number.
+Its sign transforms
+correctly through multiplication and division, and
+(finite)/\(+-\*(If\0=\0\(+-0
+(nonzero)/0 = \(+-\*(If.
+But
+\*(If\-\*(If, \*(If\(**0 and \*(If/\*(If
+are, like 0/0 and sqrt(\-3),
+invalid operations that produce \*(Na. ...
+.Ed
+.Pp
+Reserved operands (\*(Nas):
+.Bd -ragged -offset indent -compact
+An \*(Na is
+.Em ( N Ns ot Em a N Ns umber ) .
+Some \*(Nas, called Signaling \*(Nas, trap any floating-point operation
+performed upon them; they are used to mark missing
+or uninitialized values, or nonexistent elements
+of arrays.
+The rest are Quiet \*(Nas; they are
+the default results of Invalid Operations, and
+propagate through subsequent arithmetic operations.
+If x \(!= x then x is \*(Na; every other predicate
+(x > y, x = y, x < y, ...) is FALSE if \*(Na is involved.
+.Ed
+.Pp
+Rounding:
+.Bd -ragged -offset indent -compact
+Every algebraic operation (+, \-, \(**, /,
+\(sr)
+is rounded by default to within half an
+.Em ulp ,
+and when the rounding error is exactly half an
+.Em ulp
+then
+the rounded value's least significant bit is zero.
+(An
+.Em ulp
+is one
+.Em U Ns nit
+in the
+.Em L Ns ast
+.Em P Ns lace . )
+This kind of rounding is usually the best kind,
+sometimes provably so; for instance, for every
+x = 1.0, 2.0, 3.0, 4.0, ..., 2.0**52, we find
+(x/3.0)\(**3.0 == x and (x/10.0)\(**10.0 == x and ...
+despite that both the quotients and the products
+have been rounded.
+Only rounding like IEEE 754 can do that.
+But no single kind of rounding can be
+proved best for every circumstance, so IEEE 754
+provides rounding towards zero or towards
++\*(If or towards \-\*(If
+at the programmer's option.
+.Ed
+.Pp
+Exceptions:
+.Bd -ragged -offset indent -compact
+IEEE 754 recognizes five kinds of floating-point exceptions,
+listed below in declining order of probable importance.
+.Bl -column -offset indent "Invalid Operation" "Gradual Underflow"
+.Em "Exception	Default Result"
+Invalid Operation	\*(Na, or FALSE
+Overflow	\(+-\*(If
+Divide by Zero	\(+-\*(If
+Underflow	Gradual Underflow
+Inexact	Rounded value
+.El
+.Pp
+NOTE: An Exception is not an Error unless handled
+badly.
+What makes a class of exceptions exceptional
+is that no single default response can be satisfactory
+in every instance.
+On the other hand, if a default
+response will serve most instances satisfactorily,
+the unsatisfactory instances cannot justify aborting
+computation every time the exception occurs.
+.Ed
+.Ss Data Formats
+Single-precision:
+.Bd -ragged -offset indent -compact
+Type name:
+.Vt float
+.Pp
+Wordsize: 32 bits.
+.Pp
+Precision: 24 significant bits,
+roughly like 7 significant decimals.
+.Bd -ragged -offset indent -compact
+If x and x' are consecutive positive single-precision
+numbers (they differ by 1
+.Em ulp ) ,
+then
+.Bd -ragged -compact
+5.9e\-08 < 0.5**24 < (x'\-x)/x \(<= 0.5**23 < 1.2e\-07.
+.Ed
+.Ed
+.Pp
+.Bl -column "XXX" -compact
+Range:	Overflow threshold  = 2.0**128 = 3.4e38
+	Underflow threshold = 0.5**126 = 1.2e\-38
+.El
+.Bd -ragged -offset indent -compact
+Underflowed results round to the nearest
+integer multiple of 0.5**149 = 1.4e\-45.
+.Ed
+.Ed
+.Pp
+Double-precision:
+.Bd -ragged -offset indent -compact
+Type name:
+.Vt double
+.Bd -ragged -offset indent -compact
+On some architectures,
+.Vt long double
+is the same as
+.Vt double .
+.Ed
+.Pp
+Wordsize: 64 bits.
+.Pp
+Precision: 53 significant bits,
+roughly like 16 significant decimals.
+.Bd -ragged -offset indent -compact
+If x and x' are consecutive positive double-precision
+numbers (they differ by 1
+.Em ulp ) ,
+then
+.Bd -ragged -compact
+1.1e\-16 < 0.5**53 < (x'\-x)/x \(<= 0.5**52 < 2.3e\-16.
+.Ed
+.Ed
+.Pp
+.Bl -column "XXX" -compact
+Range:	Overflow threshold  = 2.0**1024 = 1.8e308
+	Underflow threshold = 0.5**1022 = 2.2e\-308
+.El
+.Bd -ragged -offset indent -compact
+Underflowed results round to the nearest
+integer multiple of 0.5**1074 = 4.9e\-324.
+.Ed
+.Ed
+.Pp
+Extended-precision:
+.Bd -ragged -offset indent -compact
+Type name:
+.Vt long double
+(when supported by the hardware)
+.Pp
+Wordsize: 96 bits.
+.Pp
+Precision: 64 significant bits,
+roughly like 19 significant decimals.
+.Bd -ragged -offset indent -compact
+If x and x' are consecutive positive extended-precision
+numbers (they differ by 1
+.Em ulp ) ,
+then
+.Bd -ragged -compact
+1.0e\-19 < 0.5**63 < (x'\-x)/x \(<= 0.5**62 < 2.2e\-19.
+.Ed
+.Ed
+.Pp
+.Bl -column "XXX" -compact
+Range:	Overflow threshold  = 2.0**16384 = 1.2e4932
+	Underflow threshold = 0.5**16382 = 3.4e\-4932
+.El
+.Bd -ragged -offset indent -compact
+Underflowed results round to the nearest
+integer multiple of 0.5**16445 = 5.7e\-4953.
+.Ed
+.Ed
+.Pp
+Quad-extended-precision:
+.Bd -ragged -offset indent -compact
+Type name:
+.Vt long double
+(when supported by the hardware)
+.Pp
+Wordsize: 128 bits.
+.Pp
+Precision: 113 significant bits,
+roughly like 34 significant decimals.
+.Bd -ragged -offset indent -compact
+If x and x' are consecutive positive quad-extended-precision
+numbers (they differ by 1
+.Em ulp ) ,
+then
+.Bd -ragged -compact
+9.6e\-35 < 0.5**113 < (x'\-x)/x \(<= 0.5**112 < 2.0e\-34.
+.Ed
+.Ed
+.Pp
+.Bl -column "XXX" -compact
+Range:	Overflow threshold  = 2.0**16384 = 1.2e4932
+	Underflow threshold = 0.5**16382 = 3.4e\-4932
+.El
+.Bd -ragged -offset indent -compact
+Underflowed results round to the nearest
+integer multiple of 0.5**16494 = 6.5e\-4966.
+.Ed
+.Ed
+.Ss Additional Information Regarding Exceptions
+.Pp
+For each kind of floating-point exception, IEEE 754
+provides a Flag that is raised each time its exception
+is signaled, and stays raised until the program resets
+it.
+Programs may also test, save and restore a flag.
+Thus, IEEE 754 provides three ways by which programs
+may cope with exceptions for which the default result
+might be unsatisfactory:
+.Bl -enum
+.It
+Test for a condition that might cause an exception
+later, and branch to avoid the exception.
+.It
+Test a flag to see whether an exception has occurred
+since the program last reset its flag.
+.It
+Test a result to see whether it is a value that only
+an exception could have produced.
+.Pp
+CAUTION: The only reliable ways to discover
+whether Underflow has occurred are to test whether
+products or quotients lie closer to zero than the
+underflow threshold, or to test the Underflow
+flag.
+(Sums and differences cannot underflow in
+IEEE 754; if x \(!= y then x\-y is correct to
+full precision and certainly nonzero regardless of
+how tiny it may be.)
+Products and quotients that
+underflow gradually can lose accuracy gradually
+without vanishing, so comparing them with zero
+(as one might on a VAX) will not reveal the loss.
+Fortunately, if a gradually underflowed value is
+destined to be added to something bigger than the
+underflow threshold, as is almost always the case,
+digits lost to gradual underflow will not be missed
+because they would have been rounded off anyway.
+So gradual underflows are usually
+.Em provably
+ignorable.
+The same cannot be said of underflows flushed to 0.
+.El
+.Pp
+At the option of an implementor conforming to IEEE 754,
+other ways to cope with exceptions may be provided:
+.Bl -enum
+.It
+ABORT.
+This mechanism classifies an exception in
+advance as an incident to be handled by means
+traditionally associated with error-handling
+statements like "ON ERROR GO TO ...".
+Different
+languages offer different forms of this statement,
+but most share the following characteristics:
+.Bl -dash
+.It
+No means is provided to substitute a value for
+the offending operation's result and resume
+computation from what may be the middle of an
+expression.
+An exceptional result is abandoned.
+.It
+In a subprogram that lacks an error-handling
+statement, an exception causes the subprogram to
+abort within whatever program called it, and so
+on back up the chain of calling subprograms until
+an error-handling statement is encountered or the
+whole task is aborted and memory is dumped.
+.El
+.It
+STOP.
+This mechanism, requiring an interactive
+debugging environment, is more for the programmer
+than the program.
+It classifies an exception in
+advance as a symptom of a programmer's error; the
+exception suspends execution as near as it can to
+the offending operation so that the programmer can
+look around to see how it happened.
+Quite often
+the first several exceptions turn out to be quite
+unexceptionable, so the programmer ought ideally
+to be able to resume execution after each one as if
+execution had not been stopped.
+.It
+\&... Other ways lie beyond the scope of this document.
+.El
+.Pp
+Ideally, each
+elementary function should act as if it were indivisible, or
+atomic, in the sense that ...
+.Bl -enum
+.It
+No exception should be signaled that is not deserved by
+the data supplied to that function.
+.It
+Any exception signaled should be identified with that
+function rather than with one of its subroutines.
+.It
+The internal behavior of an atomic function should not
+be disrupted when a calling program changes from
+one to another of the five or so ways of handling
+exceptions listed above, although the definition
+of the function may be correlated intentionally
+with exception handling.
+.El
+.Pp
+The functions in
+.Nm libm
+are only approximately atomic.
+They signal no inappropriate exception except possibly ...
+.Bl -tag -width indent -offset indent -compact
+.It Xo
+Over/Underflow
+.Xc
+when a result, if properly computed, might have lain barely within range, and
+.It Xo
+Inexact in
+.Fn cabs ,
+.Fn cbrt ,
+.Fn hypot ,
+.Fn log10
+and
+.Fn pow
+.Xc
+when it happens to be exact, thanks to fortuitous cancellation of errors.
+.El
+Otherwise, ...
+.Bl -tag -width indent -offset indent -compact
+.It Xo
+Invalid Operation is signaled only when
+.Xc
+any result but \*(Na would probably be misleading.
+.It Xo
+Overflow is signaled only when
+.Xc
+the exact result would be finite but beyond the overflow threshold.
+.It Xo
+Divide-by-Zero is signaled only when
+.Xc
+a function takes exactly infinite values at finite operands.
+.It Xo
+Underflow is signaled only when
+.Xc
+the exact result would be nonzero but tinier than the underflow threshold.
+.It Xo
+Inexact is signaled only when
+.Xc
+greater range or precision would be needed to represent the exact result.
+.El
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr ieee_test 3 ,
+.Xr math 3
+.Pp
+An explanation of IEEE 754 and its proposed extension p854
+was published in the IEEE magazine MICRO in August 1984 under
+the title "A Proposed Radix- and Word-length-independent
+Standard for Floating-point Arithmetic" by
+.An "W. J. Cody"
+et al.
+The manuals for Pascal, C and BASIC on the Apple Macintosh
+document the features of IEEE 754 pretty well.
+Articles in the IEEE magazine COMPUTER vol.\& 14 no.\& 3 (Mar.\&
+1981), and in the ACM SIGNUM Newsletter Special Issue of
+Oct.\& 1979, may be helpful although they pertain to
+superseded drafts of the standard.
+.Sh STANDARDS
+.St -ieee754

man/ieee_test.3

@@ -0,0 +1,89 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/ieee_test.3,v 1.14 2007/01/09 01:02:06 imp Exp $
+.\"
+.Dd November 6, 2005
+.Dt IEEE_TEST 3
+.Os
+.Sh NAME
+.Nm scalb ,
+.Nm scalbf ,
+.Nm significand ,
+.Nm significandf
+.Nd IEEE test functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn scalb "double x" "double n"
+.Ft float
+.Fn scalbf "float x" "float n"
+.Ft double
+.Fn significand "double x"
+.Ft float
+.Fn significandf "float x"
+.Sh DESCRIPTION
+These functions allow users to test conformance to
+.St -ieee754 .
+Their use is not otherwise recommended.
+.Pp
+.Fn scalb x n
+and
+.Fn scalbf x n
+return
+.Fa x Ns \(**(2** Ns Fa n )
+computed by exponent manipulation.
+If
+.Fa n
+is not an integer, \*(Pm\*(If, or an \*(Na, the result is unspecified.
+.Pp
+.Fn significand x
+and
+.Fn significandf x
+return
+.Fa sig ,
+where
+.Fa x
+:=
+.Fa sig No \(** 2** Ns Fa n
+with 1 \(<=
+.Fa sig
+< 2.
+.Fn significand x
+and
+.Fn significandf x
+are not defined when
+.Fa x
+is 0, \*(Pm\*(If, or \*(Na.
+.Sh SEE ALSO
+.Xr ieee 3 ,
+.Xr math 3
+.Sh STANDARDS
+.St -ieee754

man/ilogb.3

@@ -0,0 +1,124 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/ilogb.3,v 1.5 2007/12/17 03:53:38 das Exp $
+.\"
+.Dd December 16, 2007
+.Dt ILOGB 3
+.Os
+.Sh NAME
+.Nm ilogb ,
+.Nm ilogbf ,
+.Nm ilogbl ,
+.Nm logb ,
+.Nm logbf ,
+.Nm logbl
+.Nd extract exponent
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft int
+.Fn ilogb "double x"
+.Ft int
+.Fn ilogbf "float x"
+.Ft int
+.Fn ilogbl "long double x"
+.Ft double
+.Fn logb "double x"
+.Ft float
+.Fn logbf "float x"
+.Ft long double
+.Fn logbl "long double x"
+.Sh DESCRIPTION
+.Fn ilogb ,
+.Fn ilogbf
+and
+.Fn ilogbl
+return
+.Fa x Ns 's exponent
+in integer format.
+.Fn ilogb \*(Pm\*(If
+returns
+.Dv INT_MAX ,
+.Fn ilogb \*(Pm\*(Na
+returns
+.Dv FP_ILOGBNAN ,
+and
+.Fn ilogb 0
+returns
+.Dv FP_ILOGB0 .
+.Pp
+.Fn logb x ,
+.Fn logbf x ,
+and
+.Fn logbl x
+return
+.Fa x Ns 's exponent
+in floating\-point format with the same precision as
+.Fa x .
+.Fn logb \*(Pm\*(If
+returns +\*(If, and
+.Fn logb 0
+returns -\*(If with a division by zero exception.
+.Sh SEE ALSO
+.Xr frexp 3 ,
+.Xr ieee 3 ,
+.Xr math 3 ,
+.Xr scalbn 3
+.Sh STANDARDS
+The
+.Fn ilogb ,
+.Fn ilogbf ,
+.Fn ilogbl ,
+.Fn logb ,
+.Fn logbf ,
+and
+.Fn logbl
+routines conform to
+.St -isoC-99 .
+The latter three
+implement the logb function recommended by
+.St -ieee754 .
+.Sh HISTORY
+.Bl -tag -width "Function " -compact
+.It Em Function
+.Em "First Appeared In"
+.It Fn logb
+.Bx 4.3
+.It Fn ilogb
+.Fx 1.1.5
+.It Fn ilogbf
+.Fx 2.0
+.It Fn logbf
+.Fx 2.0
+.It Fn ilogbl
+.Fx 5.4
+.It Fn logbl
+.Fx 8.0
+.El

man/j0.3

@@ -0,0 +1,169 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)j0.3	6.7 (Berkeley) 4/19/91
+.\" $FreeBSD: src/lib/msun/man/j0.3,v 1.15 2008/02/18 19:02:49 das Exp $
+.\"
+.Dd February 18, 2008
+.Dt J0 3
+.Os
+.Sh NAME
+.Nm j0 ,
+.Nm j0f ,
+.Nm j1 ,
+.Nm j1f ,
+.Nm jn ,
+.Nm jnf ,
+.Nm y0 ,
+.Nm y0f ,
+.Nm y1 ,
+.Nm y1f ,
+.Nm yn ,
+.Nm ynf
+.Nd Bessel functions of first and second kind
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn j0 "double x"
+.Ft float
+.Fn j0f "float x"
+.Ft double
+.Fn j1 "double x"
+.Ft float
+.Fn j1f "float x"
+.Ft double
+.Fn jn "int n" "double x"
+.Ft float
+.Fn jnf "int n" "float x"
+.Ft double
+.Fn y0 "double x"
+.Ft float
+.Fn y0f "float x"
+.Ft double
+.Fn y1 "double x"
+.Ft float
+.Fn y1f "float x"
+.Ft double
+.Fn yn "int n" "double x"
+.Ft float
+.Fn ynf "int n" "float x"
+.Sh DESCRIPTION
+The functions
+.Fn j0 ,
+.Fn j0f ,
+.Fn j1
+and
+.Fn j1f
+compute the
+.Em Bessel function of the first kind of the order
+0 and the
+.Em order
+1, respectively,
+for the
+real value
+.Fa x ;
+the functions
+.Fn jn
+and
+.Fn jnf
+compute the
+.Em Bessel function of the first kind of the integer
+.Em order
+.Fa n
+for the real value
+.Fa x .
+.Pp
+The functions
+.Fn y0 ,
+.Fn y0f ,
+.Fn y1 ,
+and
+.Fn y1f
+compute the linearly independent
+.Em Bessel function of the second kind of the order
+0 and the
+.Em order
+1, respectively,
+for the
+positive
+.Em real
+value
+.Fa x ;
+the functions
+.Fn yn
+and
+.Fn ynf
+compute the
+.Em Bessel function of the second kind for the integer
+.Em order
+.Fa n
+for the positive
+.Em real
+value
+.Fa x .
+.Sh RETURN VALUES
+These routines return values of their respective Bessel functions.
+For large positive inputs, they may underflow and return \*(Pm0.
+.Pp
+The following applies to
+.Fn y0 ,
+.Fn y0f ,
+.Fn y1 ,
+.Fn y1f ,
+.Fn yn ,
+and
+.Fn ynf .
+If
+.Fa x
+is negative, these routines will generate an invalid exception and
+return \*(Na.
+If
+.Fa x
+is 0 or a sufficiently small positive number, these routines
+will generate an overflow exception and return -\*(If.
+.Sh SEE ALSO
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn j0 ,
+.Fn j1 ,
+.Fn jn ,
+.Fn y0 ,
+.Fn y1 ,
+and
+.Fn yn
+functions conform to
+.St -p1003.1-2001 .
+The
+.Ft float
+versions are extensions.
+.Sh HISTORY
+This set of functions
+appeared in
+.At v7 .

man/lgamma.3

@@ -0,0 +1,189 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)lgamma.3	6.6 (Berkeley) 12/3/92
+.\" $FreeBSD: src/lib/msun/man/lgamma.3,v 1.24 2008/02/18 17:27:11 das Exp $
+.\"
+.Dd January 14, 2005
+.Dt LGAMMA 3
+.Os
+.Sh NAME
+.Nm lgamma ,
+.Nm lgamma_r ,
+.Nm lgammaf ,
+.Nm lgammaf_r ,
+.Nm gamma ,
+.Nm gamma_r ,
+.Nm gammaf ,
+.Nm gammaf_r ,
+.Nm tgamma ,
+.Nm tgammaf
+.Nd log gamma functions, gamma function
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft extern int
+.Fa signgam ;
+.sp
+.Ft double
+.Fn lgamma "double x"
+.Ft double
+.Fn lgamma_r "double x" "int *signgamp"
+.Ft float
+.Fn lgammaf "float x"
+.Ft float
+.Fn lgammaf_r "float x" "int *signgamp"
+.Ft double
+.Fn gamma "double x"
+.Ft double
+.Fn gamma_r "double x" "int *signgamp"
+.Ft float
+.Fn gammaf "float x"
+.Ft float
+.Fn gammaf_r "float x" "int *signgamp"
+.Ft double
+.Fn tgamma "double x"
+.Ft float
+.Fn tgammaf "float x"
+.Sh DESCRIPTION
+.Fn lgamma x
+and
+.Fn lgammaf x
+.if t \{\
+return ln\||\(*G(x)| where
+.Bd -unfilled -offset indent
+\(*G(x) = \(is\d\s8\z0\s10\u\u\s8\(if\s10\d t\u\s8x\-1\s10\d e\u\s8\-t\s10\d dt	for x > 0 and
+\(*G(x) = \(*p/(\(*G(1\-x)\|sin(\(*px))	for x < 1.
+.Ed
+.\}
+.if n \
+return ln\||\(*G(x)|.
+The external integer
+.Fa signgam
+returns the sign of \(*G(x).
+.Pp
+.Fn lgamma_r x signgamp
+and
+.Fn lgammaf_r x signgamp
+provide the same functionality as
+.Fn lgamma x
+and
+.Fn lgammaf x
+but the caller must provide an integer to store the sign of \(*G(x).
+.Pp
+The
+.Fn tgamma x
+and
+.Fn tgammaf x
+functions return \(*G(x), with no effect on
+.Fa signgam .
+.Pp
+.Fn gamma ,
+.Fn gammaf ,
+.Fn gamma_r ,
+and
+.Fn gammaf_r
+are deprecated aliases for
+.Fn lgamma ,
+.Fn lgammaf ,
+.Fn lgamma_r ,
+and
+.Fn lgammaf_r ,
+respectively.
+.Sh IDIOSYNCRASIES
+Do not use the expression
+.Dq Li signgam\(**exp(lgamma(x))
+to compute g := \(*G(x).
+Instead use a program like this (in C):
+.Bd -literal -offset indent
+lg = lgamma(x); g = signgam\(**exp(lg);
+.Ed
+.Pp
+Only after
+.Fn lgamma
+or
+.Fn lgammaf
+has returned can signgam be correct.
+.Pp
+For arguments in its range,
+.Fn tgamma
+is preferred, as for positive arguments
+it is accurate to within one unit in the last place.
+Exponentiation of
+.Fn lgamma
+will lose up to 10 significant bits.
+.Sh RETURN VALUES
+.Fn gamma ,
+.Fn gamma_r ,
+.Fn gammaf ,
+.Fn gammaf_r ,
+.Fn lgamma ,
+.Fn lgamma_r ,
+.Fn lgammaf ,
+and
+.Fn lgammaf_r
+return appropriate values unless an argument is out of range.
+Overflow will occur for sufficiently large positive values, and
+non-positive integers.
+For large non-integer negative values,
+.Fn tgamma
+will underflow.
+.Sh SEE ALSO
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn lgamma ,
+.Fn lgammaf ,
+.Fn tgamma ,
+and
+.Fn tgammaf
+functions are expected to conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn lgamma
+function appeared in
+.Bx 4.3 .
+The
+.Fn gamma
+function appeared in
+.Bx 4.4
+as a function which computed \(*G(x).
+This version was used in
+.Fx 1.1 .
+The name
+.Fn gamma
+was originally dedicated to the
+.Fn lgamma
+function,
+and that usage was restored by switching to Sun's fdlibm in
+.Fx 1.1.5 .
+The
+.Fn tgamma
+function appeared in
+.Fx 5.0 .

man/log.3

@@ -0,0 +1,118 @@
+.\" Copyright (c) 2008-2010 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/log.3,v 1.2 2010/12/05 22:11:22 das Exp $
+.\"
+.Dd December 5, 2010
+.Dt LOG 3
+.Os
+.Sh NAME
+.Nm log ,
+.Nm logf ,
+.Nm logl ,
+.Nm log10 ,
+.Nm log10f ,
+.Nm log2 ,
+.Nm log2f ,
+.Nm log1p ,
+.Nm log1pf
+.Nd logarithm functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn log "double x"
+.Ft float
+.Fn logf "float x"
+.Ft double
+.Fn log10 "double x"
+.Ft float
+.Fn log10f "float x"
+.Ft double
+.Fn log2 "double x"
+.Ft float
+.Fn log2f "float x"
+.Ft double
+.Fn log1p "double x"
+.Ft float
+.Fn log1pf "float x"
+.Sh DESCRIPTION
+The
+.Fn log
+and
+.Fn logf
+functions compute the natural logarithm of
+.Fa x .
+.Pp
+The
+.Fn log10
+and
+.Fn log10f
+functions compute the logarithm base 10 of
+.Fa x ,
+while
+.Fn log2
+and
+.Fn log2f
+compute the logarithm base 2 of
+.Fa x .
+.Pp
+The
+.Fn log1p
+and
+.Fn log1pf
+functions compute the natural logarithm of
+.No "1 + x" .
+Computing the natural logarithm as
+.Li log1p(x)
+is more accurate than computing it as
+.Li log(1 + x)
+when
+.Fa x
+is close to zero.
+.Sh RETURN VALUES
+These functions return the requested logarithm; the logarithm of 1 is +0.
+An attempt to take the logarithm of \*(Pm0 results in a divide-by-zero
+exception, and -\*(If is returned.
+Otherwise, attempting to take the logarithm of a negative number
+results in an invalid exception and a return value of \*(Na.
+.Sh SEE ALSO
+.Xr exp 3 ,
+.Xr ilogb 3 ,
+.Xr math 3 ,
+.Xr pow 3
+.Sh STANDARDS
+The
+.Fn log ,
+.Fn logf ,
+.Fn log10 ,
+.Fn log10f ,
+.Fn log2 ,
+.Fn log2f ,
+.Fn log1p ,
+and
+.Fn log1pf
+functions conform to
+.St -isoC-99 .

man/lrint.3

@@ -0,0 +1,104 @@
+.\" Copyright (c) 2005 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/lrint.3,v 1.3 2008/01/14 02:12:07 das Exp $
+.\"
+.Dd January 13, 2008
+.Dt LRINT 3
+.Os
+.Sh NAME
+.Nm llrint ,
+.Nm llrintf ,
+.Nm llrintl ,
+.Nm lrint ,
+.Nm lrintf ,
+.Nm lrintl
+.Nd "convert to integer"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft "long long"
+.Fn llrint "double x"
+.Ft "long long"
+.Fn llrintf "float x"
+.Ft "long long"
+.Fn llrintl "long double x"
+.Ft long
+.Fn lrint "double x"
+.Ft long
+.Fn lrintf "float x"
+.Ft long
+.Fn lrintl "long double x"
+.Sh DESCRIPTION
+The
+.Fn lrint
+function returns the integer nearest to its argument
+.Fa x
+according to the current rounding mode.
+If the rounded result is too large to be represented as a
+.Vt long
+value, an invalid exception is raised and the return value is undefined.
+Otherwise, if
+.Fa x
+is not an integer,
+.Fn lrint
+raises an inexact exception.
+When the rounded result is representable as a
+.Vt long ,
+the expression
+.Fn lrint x
+is equivalent to
+.Po Vt long Pc Ns Fn rint x
+(although the former may be more efficient).
+.Pp
+The
+.Fn llrint ,
+.Fn llrintf ,
+.Fn llrintl ,
+.Fn lrintf ,
+and
+.Fn lrintl
+functions differ from
+.Fn lrint
+only in their input and output types.
+.Sh SEE ALSO
+.Xr lround 3 ,
+.Xr math 3 ,
+.Xr rint 3 ,
+.Xr round 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn llrint ,
+.Fn llrintf ,
+.Fn lrint ,
+and
+.Fn lrintf
+routines first appeared in
+.Fx 5.4 .
+The long double variants were introduced in
+.Fx 8.0 .

man/lround.3

@@ -0,0 +1,112 @@
+.\" Copyright (c) 2005 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/lround.3,v 1.4 2005/06/15 19:04:04 ru Exp $
+.\"
+.Dd April 7, 2005
+.Dt LROUND 3
+.Os
+.Sh NAME
+.Nm llround ,
+.Nm llroundf ,
+.Nm llroundl ,
+.Nm lround ,
+.Nm lroundf ,
+.Nm lroundl
+.Nd "convert to nearest integral value"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft "long long"
+.Fn llround "double x"
+.Ft "long long"
+.Fn llroundf "float x"
+.Ft "long long"
+.Fn llroundl "long double x"
+.Ft long
+.Fn lround "double x"
+.Ft long
+.Fn lroundf "float x"
+.Ft long
+.Fn lroundl "long double x"
+.Sh DESCRIPTION
+The
+.Fn lround
+function returns the integer nearest to its argument
+.Fa x ,
+rounding away from zero in halfway cases.
+If the rounded result is too large to be represented as a
+.Vt long
+value, an invalid exception is raised and the return value is undefined.
+Otherwise, if
+.Fa x
+is not an integer,
+.Fn lround
+may raise an inexact exception.
+When the rounded result is representable as a
+.Vt long ,
+the expression
+.Fn lround x
+is equivalent to
+.Po Vt long Pc Ns Fn round x
+(although the former may be more efficient).
+.Pp
+The
+.Fn llround ,
+.Fn llroundf ,
+.Fn llroundl ,
+.Fn lroundf
+and
+.Fn lroundl
+functions differ from
+.Fn lround
+only in their input and output types.
+.Sh SEE ALSO
+.Xr lrint 3 ,
+.Xr math 3 ,
+.Xr rint 3 ,
+.Xr round 3
+.Sh STANDARDS
+The
+.Fn llround ,
+.Fn llroundf ,
+.Fn llroundl ,
+.Fn lround ,
+.Fn lroundf ,
+and
+.Fn lroundl
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Vt float
+and
+.Vt double
+versions of these routines first appeared in
+.Fx 5.4 .
+The
+.Vt "long double"
+versions appeared in
+.Fx 6.0 .

man/math.3

@@ -0,0 +1,254 @@
+.\" Copyright (c) 1985 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"	from: @(#)math.3	6.10 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/math.3,v 1.34 2011/10/17 06:10:32 das Exp $
+.\"
+.Dd December 5, 2010
+.Dt MATH 3
+.Os
+.Sh NAME
+.Nm math
+.Nd "floating-point mathematical library"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Sh DESCRIPTION
+The math library includes the following components:
+.Bl -column "<complex.h>" "polymorphic (type-generic) versions of functions" -compact -offset indent
+.In math.h Ta basic routines and real-valued functions
+.In complex.h Ta complex number support
+.In tgmath.h Ta polymorphic (type-generic) versions of functions
+.In fenv.h Ta routines to control rounding and exceptions
+.El
+The rest of this manual page describes the functions provided by
+.In math.h .
+Please consult
+.Xr complex 3 ,
+.Xr tgmath 3 ,
+and
+.Xr fenv 3
+for information on the other components.
+.Sh "LIST OF FUNCTIONS"
+Each of the following
+.Vt double
+functions has a
+.Vt float
+counterpart with an
+.Ql f
+appended to the name and a
+.Vt "long double"
+counterpart with an
+.Ql l
+appended.
+As an example, the
+.Vt float
+and
+.Vt "long double"
+counterparts of
+.Ft double
+.Fn acos "double x"
+are
+.Ft float
+.Fn acosf "float x"
+and
+.Ft "long double"
+.Fn acosl "long double x" ,
+respectively.
+The classification macros and silent order predicates are type generic and
+should not be suffixed with
+.Ql f
+or
+.Ql l .
+.de Cl
+.Bl -column "isgreaterequal" "bessel function of the second kind of the order 0"
+.Em "Name	Description"
+..
+.Ss Algebraic Functions
+.Cl
+cbrt	cube root
+fma	fused multiply-add
+hypot	Euclidean distance
+sqrt	square root
+.El
+.Ss Classification Macros
+.Cl
+fpclassify	classify a floating-point value
+isfinite	determine whether a value is finite
+isinf	determine whether a value is infinite
+isnan	determine whether a value is \*(Na
+isnormal	determine whether a value is normalized
+.El
+.Ss Exponent Manipulation Functions
+.Cl
+frexp	extract exponent and mantissa
+ilogb	extract exponent
+ldexp	multiply by power of 2
+logb	extract exponent
+scalbln	adjust exponent
+scalbn	adjust exponent
+.El
+.Ss Extremum- and Sign-Related Functions
+.Cl
+copysign	copy sign bit
+fabs	absolute value
+fdim	positive difference
+fmax	maximum function
+fmin	minimum function
+signbit	extract sign bit
+.El
+.Ss Not a Number Functions
+.Cl
+nan	generate a quiet \*(Na
+.El
+.Ss Residue and Rounding Functions
+.Cl
+ceil	integer no less than
+floor	integer no greater than
+fmod	positive remainder
+llrint	round to integer in fixed-point format
+llround	round to nearest integer in fixed-point format
+lrint	round to integer in fixed-point format
+lround	round to nearest integer in fixed-point format
+modf	extract integer and fractional parts
+nearbyint	round to integer (silent)
+nextafter	next representable value
+nexttoward	next representable value
+remainder	remainder
+remquo	remainder with partial quotient
+rint	round to integer
+round	round to nearest integer
+trunc	integer no greater in magnitude than
+.El
+.Pp
+The
+.Fn ceil ,
+.Fn floor ,
+.Fn llround ,
+.Fn lround ,
+.Fn round ,
+and
+.Fn trunc
+functions round in predetermined directions, whereas
+.Fn llrint ,
+.Fn lrint ,
+and
+.Fn rint
+round according to the current (dynamic) rounding mode.
+For more information on controlling the dynamic rounding mode, see
+.Xr fenv 3
+and
+.Xr fesetround 3 .
+.Ss Silent Order Predicates
+.Cl
+isgreater	greater than relation
+isgreaterequal	greater than or equal to relation
+isless	less than relation
+islessequal	less than or equal to relation
+islessgreater	less than or greater than relation
+isunordered	unordered relation
+.El
+.Ss Transcendental Functions
+.Cl
+acos	inverse cosine
+acosh	inverse hyperbolic cosine
+asin	inverse sine
+asinh	inverse hyperbolic sine
+atan	inverse tangent
+atanh	inverse hyperbolic tangent
+atan2	atan(y/x); complex argument
+cos	cosine
+cosh	hyperbolic cosine
+erf	error function
+erfc	complementary error function
+exp	exponential base e
+exp2	exponential base 2
+expm1	exp(x)\-1
+j0	Bessel function of the first kind of the order 0
+j1	Bessel function of the first kind of the order 1
+jn	Bessel function of the first kind of the order n
+lgamma	log gamma function
+log	natural logarithm
+log10	logarithm to base 10
+log1p	log(1+x)
+log2	base 2 logarithm
+pow	exponential x**y
+sin	trigonometric function
+sinh	hyperbolic function
+tan	trigonometric function
+tanh	hyperbolic function
+tgamma	gamma function
+y0	Bessel function of the second kind of the order 0
+y1	Bessel function of the second kind of the order 1
+yn	Bessel function of the second kind of the order n
+.El
+.Pp
+The routines
+in this section might not produce a result that is correctly rounded,
+so reproducible results cannot be guaranteed across platforms.
+For most of these functions, however, incorrect rounding occurs
+rarely, and then only in very-close-to-halfway cases.
+.Sh SEE ALSO
+.Xr complex 3 ,
+.Xr fenv 3 ,
+.Xr ieee 3 ,
+.Xr tgmath 3
+.Sh HISTORY
+A math library with many of the present functions appeared in
+.At v7 .
+The library was substantially rewritten for
+.Bx 4.3
+to provide
+better accuracy and speed on machines supporting either VAX
+or IEEE 754 floating-point.
+Most of this library was replaced with FDLIBM, developed at Sun
+Microsystems, in
+.Fx 1.1.5 .
+Additional routines, including ones for
+.Vt float
+and
+.Vt long double
+values, were written for or imported into subsequent versions of FreeBSD.
+.Sh BUGS
+Some of the
+.Vt "long double"
+math functions in
+.St -isoC-99
+are not available.
+.Pp
+Many of the routines to compute transcendental functions produce
+inaccurate results in other than the default rounding mode.
+.Pp
+On the i386 platform, trigonometric argument reduction is not
+performed accurately for huge arguments, resulting in
+large errors
+for such arguments to
+.Fn cos ,
+.Fn sin ,
+and
+.Fn tan .

man/nan.3

@@ -0,0 +1,99 @@
+.\" Copyright (c) 2007 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/nan.3,v 1.1 2007/12/16 21:19:28 das Exp $
+.\"
+.Dd December 16, 2007
+.Dt NAN 3
+.Os
+.Sh NAME
+.Nm nan ,
+.Nm nanf ,
+.Nm nanl
+.Nd quiet \*(Nas
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn nan "const char *s"
+.Ft float
+.Fn nanf "const char *s"
+.Ft long double
+.Fn nanl "const char *s"
+.Sh DESCRIPTION
+The
+.Dv NAN
+macro expands to a quiet \*(Na (Not A Number).
+Similarly, each of the
+.Fn nan ,
+.Fn nanf ,
+and
+.Fn nanl
+functions generate a quiet \*(Na value without raising an invalid exception.
+The argument
+.Fa s
+should point to either an empty string or a hexadecimal representation
+of a non-negative integer (e.g., "0x1234".)
+In the latter case, the integer is encoded in some free bits in the
+representation of the \*(Na, which sometimes store
+machine-specific information about why a particular \*(Na was generated.
+There are 22 such bits available for
+.Vt float
+variables, 51 bits for
+.Vt double
+variables, and at least 51 bits for a
+.Vt long double .
+If
+.Fa s
+is improperly formatted or represents an integer that is too large,
+then the particular encoding of the quiet \*(Na that is returned
+is indeterminate.
+.Sh COMPATIBILITY
+Calling these functions with a non-empty string isn't portable.
+Another operating system may translate the string into a different
+\*(Na encoding, and furthermore, the meaning of a given \*(Na encoding
+varies across machine architectures.
+If you understood the innards of a particular platform well enough to
+know what string to use, then you would have no need for these functions
+anyway, so don't use them.
+Use the
+.Dv NAN
+macro instead.
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr ieee 3 ,
+.Xr isnan 3 ,
+.Xr math 3 ,
+.Xr strtod 3
+.Sh STANDARDS
+The
+.Fn nan ,
+.Fn nanf ,
+and
+.Fn nanl
+functions and the
+.Dv NAN
+macro conform to
+.St -isoC-99 .

man/nextafter.3

@@ -0,0 +1,96 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/nextafter.3,v 1.3 2007/01/09 01:02:06 imp Exp $
+.\"
+.Dd May 4, 2005
+.Dt NEXTAFTER 3
+.Os
+.Sh NAME
+.Nm nextafter ,
+.Nm nextafterf ,
+.Nm nextafterl ,
+.Nm nexttoward ,
+.Nm nexttowardf ,
+.Nm nexttowardl
+.Nd next representable value
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn nextafter "double x" "double y"
+.Ft float
+.Fn nextafterf "float x" "float y"
+.Ft long double
+.Fn nextafterl "long double x" "long double y"
+.Ft double
+.Fn nexttoward "double x" "long double y"
+.Ft float
+.Fn nexttowardf "float x" "long double y"
+.Ft long double
+.Fn nexttowardl "long double x" "long double y"
+.Sh DESCRIPTION
+These functions
+return the next machine representable number from
+.Fa x
+in direction
+.Fa y .
+.Sh SEE ALSO
+.Xr ieee 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn nextafter ,
+.Fn nextafterf ,
+.Fn nextafterl ,
+.Fn nexttoward ,
+.Fn nexttowardf ,
+and
+.Fn nexttowardl
+routines conform to
+.St -isoC-99 .
+They implement the Nextafter function recommended by
+.St -ieee754 ,
+with the extension that
+.Fn nextafter +0.0, -0.0
+returns
+.Li -0.0 ,
+and
+.Fn nextafter -0.0, +0.0
+returns
+.Li +0.0 .
+.Sh HISTORY
+The
+.Fn nextafter
+function appeared in
+.Bx 4.3 ,
+and
+.Fn nextafterf
+appeared in
+.Fx 2.0 .

man/remainder.3

@@ -0,0 +1,159 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/remainder.3,v 1.7 2010/06/02 10:20:38 uqs Exp $
+.\"
+.Dd March 30, 2008
+.Dt REMAINDER 3
+.Os
+.Sh NAME
+.Nm remainder ,
+.Nm remainderf ,
+.Nm remainderl ,
+.Nm remquo ,
+.Nm remquof ,
+.Nm remquol
+.Nd minimal residue functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn remainder "double x" "double y"
+.Ft float
+.Fn remainderf "float x" "float y"
+.Ft long double
+.Fn remainderl "long double x" "long double y"
+.Ft double
+.Fn remquo "double x" "double y" "int *quo"
+.Ft float
+.Fn remquof "float x" "float y" "int *quo"
+.Ft long double
+.Fn remquol "long double x" "long double y" "int *quo"
+.Sh DESCRIPTION
+.Fn remainder ,
+.Fn remainderf ,
+.Fn remainderl ,
+.Fn remquo ,
+.Fn remquof ,
+and
+.Fn remquol
+return the remainder
+.Fa r
+:=
+.Fa x
+\-
+.Fa n\(**y
+where
+.Fa n
+is the integer nearest the exact value of
+.Bk -words
+.Fa x Ns / Ns Fa y ;
+.Ek
+moreover if
+.Pf \*(Ba Fa n
+\-
+.Sm off
+.Fa x No / Fa y No \*(Ba
+.Sm on
+=
+1/2
+then
+.Fa n
+is even.
+Consequently
+the remainder is computed exactly and
+.Sm off
+.Pf \*(Ba Fa r No \*(Ba
+.Sm on
+\*(Le
+.Sm off
+.Pf \*(Ba Fa y No \*(Ba/2 .
+.Sm on
+But attempting to take the remainder when
+.Fa y
+is 0 or
+.Fa x
+is \*(Pm\*(If is an invalid operation that produces a \*(Na.
+.Pp
+The
+.Fn remquo ,
+.Fn remquof ,
+and
+.Fn remquol
+functions also store the last
+.Va k
+bits of
+.Fa n
+in the location pointed to by
+.Fa quo ,
+provided that
+.Fa n
+exists.
+The number of bits
+.Va k
+is platform-specific, but is guaranteed to be at least 3.
+.Sh SEE ALSO
+.Xr fmod 3 ,
+.Xr ieee 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn remainder ,
+.Fn remainderf ,
+.Fn remainderl ,
+.Fn remquo ,
+.Fn remquof ,
+and
+.Fn remquol
+routines conform to
+.St -isoC-99 .
+The remainder is as defined in
+.St -ieee754 .
+.Sh HISTORY
+The
+.Fn remainder
+and
+.Fn remainderf
+functions appeared in
+.Bx 4.3
+and
+.Fx 2.0 ,
+respectively.
+The
+.Fn remquo
+and
+.Fn remquof
+functions were added in
+.Fx 6.0 ,
+and
+.Fn remainderl
+and
+.Fn remquol
+were added in
+.Fx 8.0 .

man/rint.3

@@ -0,0 +1,103 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)rint.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/rint.3,v 1.13 2008/01/14 02:12:07 das Exp $
+.\"
+.Dd January 13, 2008
+.Dt RINT 3
+.Os
+.Sh NAME
+.Nm nearbyint ,
+.Nm nearbyintf ,
+.Nm nearbyintl ,
+.Nm rint ,
+.Nm rintf ,
+.Nm rintl
+.Nd round to integral value in floating-point format
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn nearbyint "double x"
+.Ft float
+.Fn nearbyintf "float x"
+.Ft long double
+.Fn nearbyintl "long double x"
+.Ft double
+.Fn rint "double x"
+.Ft float
+.Fn rintf "float x"
+.Ft long double
+.Fn rintl "long double x"
+.Sh DESCRIPTION
+The
+.Fn rint ,
+.Fn rintf ,
+and
+.Fn rintl
+functions return the integral value nearest to
+.Fa x
+according to the prevailing rounding mode.
+These functions raise an inexact exception when the original argument
+is not an exact integer.
+.Pp
+The
+.Fn nearbyint ,
+.Fn nearbyintf ,
+and
+.Fn nearbyintl
+functions perform the same operation, except that they do not raise
+an inexact exception.
+.Sh SEE ALSO
+.Xr abs 3 ,
+.Xr ceil 3 ,
+.Xr fabs 3 ,
+.Xr fenv 3 ,
+.Xr floor 3 ,
+.Xr ieee 3 ,
+.Xr lrint 3 ,
+.Xr lround 3 ,
+.Xr math 3 ,
+.Xr round 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+A
+.Fn rint
+function appeared in
+.At v6 .
+The
+.Fn nearbyint
+and
+.Fn nearbyintf
+functions appeared in
+.Fx 5.3 ,
+and the long double variants were first available in
+.Fx 8.0 .

man/round.3

@@ -0,0 +1,80 @@
+.\" Copyright (c) 2003, Steven G. Kargl
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/round.3,v 1.6 2005/06/15 19:04:04 ru Exp $
+.\"
+.Dd April 7, 2005
+.Dt ROUND 3
+.Os
+.Sh NAME
+.Nm round ,
+.Nm roundf ,
+.Nm roundl
+.Nd round to nearest integral value
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn round "double x"
+.Ft float
+.Fn roundf "float x"
+.Ft "long double"
+.Fn roundl "long double x"
+.Sh DESCRIPTION
+The
+.Fn round ,
+.Fn roundf ,
+and
+.Fn roundl
+functions return the nearest integral value to
+.Fa x ;
+if
+.Fa x
+lies halfway between two integral values, then these
+functions return the integral value with the larger
+absolute value (i.e., they round away from zero).
+.Sh SEE ALSO
+.Xr ceil 3 ,
+.Xr floor 3 ,
+.Xr ieee 3 ,
+.Xr lrint 3 ,
+.Xr lround 3 ,
+.Xr math 3 ,
+.Xr rint 3 ,
+.Xr trunc 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn round
+and
+.Fn roundf
+functions appeared in
+.Fx 5.3 .
+The
+.Fn roundl
+function appeared in
+.Fx 6.0 .

man/scalbn.3

@@ -0,0 +1,91 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/scalbn.3,v 1.4 2007/01/09 01:02:06 imp Exp $
+.\"
+.Dd March 4, 2005
+.Dt SCALBN 3
+.Os
+.Sh NAME
+.Nm scalbln ,
+.Nm scalblnf ,
+.Nm scalblnl ,
+.Nm scalbn ,
+.Nm scalbnf ,
+.Nm scalbnl
+.Nd adjust exponent
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn scalbln "double x" "long n"
+.Ft float
+.Fn scalblnf "float x" "long n"
+.Ft long double
+.Fn scalblnl "long double x" "long n"
+.Ft double
+.Fn scalbn "double x" "int n"
+.Ft float
+.Fn scalbnf "float x" "int n"
+.Ft long double
+.Fn scalbnl "long double x" "int n"
+.Sh DESCRIPTION
+These routines return
+.Fa x Ns \(**(2** Ns Fa n )
+computed by exponent manipulation.
+.Sh SEE ALSO
+.Xr ieee 3 ,
+.Xr math 3
+.Sh STANDARDS
+These routines conform to
+.St -isoC-99 ,
+and they implement the Scalb function recommended by
+.St -ieee754 .
+.Sh HISTORY
+The
+.Fn scalbn
+and
+.Fn scalbnf
+functions appeared in
+.Bx 4.3
+and
+.Fx 2.0 ,
+respectively.
+The
+.Fn scalbln
+and
+.Fn scalblnf
+functions first appeared in
+.Fx 5.3 ,
+and
+.Fn scalblnl
+and
+.Fn scalbln
+in
+.Fx 6.0 .

man/signbit.3

@@ -0,0 +1,57 @@
+.\" Copyright (c) 2003 Mike Barcroft <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/signbit.3,v 1.1 2004/07/19 08:16:10 das Exp $
+.\"
+.Dd July 18, 2004
+.Dt SIGNBIT 3
+.Os
+.Sh NAME
+.Nm signbit
+.Nd "determine whether a floating-point number's sign is negative"
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft int
+.Fn signbit "real-floating x"
+.Sh DESCRIPTION
+The
+.Fn signbit
+macro takes an argument of
+.Fa x
+and returns non-zero if the value of its sign is negative, otherwise 0.
+.Sh SEE ALSO
+.Xr fpclassify 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn signbit
+macro conforms to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn signbit
+macro was added in
+.Fx 5.1 .

man/sin.3

@@ -0,0 +1,82 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\"	@(#)sin.3	6.7 (Berkeley) 4/19/91
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)sin.3	6.7 (Berkeley) 4/19/91
+.\" $FreeBSD: src/lib/msun/man/sin.3,v 1.12 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd January 24, 2008
+.Dt SIN 3
+.Os
+.Sh NAME
+.Nm sin ,
+.Nm sinf ,
+.Nm sinl
+.Nd sine functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn sin "double x"
+.Ft float
+.Fn sinf "float x"
+.Ft long double
+.Fn sinl "long double x"
+.Sh DESCRIPTION
+The
+.Fn sin ,
+.Fn sinf ,
+and
+.Fn sinl
+functions compute the sine of
+.Fa x
+(measured in radians).
+A large magnitude argument may yield a result with little
+or no significance.
+.Sh RETURN VALUES
+The
+.Fn sin ,
+.Fn sinf ,
+and
+.Fn sinl
+functions return the sine value.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr csin 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr math 3 ,
+.Xr sinh 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/sinh.3

@@ -0,0 +1,68 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"	from: @(#)sinh.3	6.6 (Berkeley) 4/19/91
+.\" $FreeBSD: src/lib/msun/man/sinh.3,v 1.14 2011/10/17 05:41:03 das Exp $
+.Dd January 14, 2005
+.Dt SINH 3
+.Os
+.Sh NAME
+.Nm sinh ,
+.Nm sinhf
+.Nd hyperbolic sine function
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn sinh "double x"
+.Ft float
+.Fn sinhf "float x"
+.Sh DESCRIPTION
+The
+.Fn sinh
+and the
+.Fn sinhf
+functions compute the hyperbolic sine of
+.Fa x .
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr csinh 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr tan 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+The
+.Fn sinh
+function conforms to
+.St -isoC .

man/sqrt.3

@@ -0,0 +1,122 @@
+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)sqrt.3	6.4 (Berkeley) 5/6/91
+.\" $FreeBSD: src/lib/msun/man/sqrt.3,v 1.16 2011/03/12 16:50:39 kargl Exp $
+.\"
+.Dd March 5, 2011
+.Dt SQRT 3
+.Os
+.Sh NAME
+.Nm cbrt ,
+.Nm cbrtf ,
+.Nm cbrtl ,
+.Nm sqrt ,
+.Nm sqrtf ,
+.Nm sqrtl
+.Nd cube root and square root functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn cbrt "double x"
+.Ft float
+.Fn cbrtf "float x"
+.Ft long double
+.Fn cbrtl "long double x"
+.Ft double
+.Fn sqrt "double x"
+.Ft float
+.Fn sqrtf "float x"
+.Ft long double
+.Fn sqrtl "long double x"
+.Sh DESCRIPTION
+The
+.Fn cbrt ,
+.Fn cbrtf ,
+and
+.Fn cbrtl
+functions compute
+the cube root of
+.Ar x .
+.Pp
+The
+.Fn sqrt ,
+.Fn sqrtf ,
+and
+.Fn sqrtl
+functions compute the
+non-negative square root of
+.Ar x .
+.Sh RETURN VALUES
+The
+.Fn cbrt ,
+.Fn cbrtf ,
+and
+.Fn cbrtl
+functions return the requested cube root.
+The
+.Fn sqrt ,
+.Fn sqrtf ,
+and
+.Fn sqrtl
+functions return the requested square root
+unless an error occurs.
+An attempt to take the
+.Fn sqrt
+of negative
+.Fa x
+raises an invalid exception and causes an \*(Na to be returned
+(except that the square root of -0 is valid and equal to -0.)
+.Sh SEE ALSO
+.Xr fenv 3 ,
+.Xr math 3
+.Sh STANDARDS
+The
+.Fn cbrt ,
+.Fn cbrtf ,
+.Fn cbrtl ,
+.Fn sqrt ,
+.Fn sqrtf ,
+and
+.Fn sqrtl
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+The
+.Fn cbrt
+function appeared in
+.Bx 4.3 .
+The
+.Fn sqrtl
+function appeared in
+.Fx 8.0 .
+The
+.Fn cbrtl
+function appeared in
+.Fx 9.0 .

man/tan.3

@@ -0,0 +1,83 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)tan.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/tan.3,v 1.12 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd January 24, 2008
+.Dt TAN 3
+.Os
+.Sh NAME
+.Nm tan ,
+.Nm tanf ,
+.Nm tanl
+.Nd tangent functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn tan "double x"
+.Ft float
+.Fn tanf "float x"
+.Ft long double
+.Fn tanl "long double x"
+.Sh DESCRIPTION
+The
+.Fn tan ,
+.Fn tanf ,
+and
+.Fn tanl
+functions compute the tangent of
+.Fa x
+(measured in radians).
+A large magnitude argument may yield a result
+with little or no significance.
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn tan ,
+.Fn tanf ,
+and
+.Fn tanl
+functions return the tangent value.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr ctan 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tanh 3
+.Sh STANDARDS
+These functions conform to
+.St -isoC-99 .

man/tanh.3

@@ -0,0 +1,77 @@
+.\" Copyright (c) 1991 The Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)tanh.3	5.1 (Berkeley) 5/2/91
+.\" $FreeBSD: src/lib/msun/man/tanh.3,v 1.12 2011/10/17 05:41:03 das Exp $
+.\"
+.Dd May 2, 1991
+.Dt TANH 3
+.Os
+.Sh NAME
+.Nm tanh ,
+.Nm tanhf
+.Nd hyperbolic tangent functions
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn tanh "double x"
+.Ft float
+.Fn tanhf "float x"
+.Sh DESCRIPTION
+The
+.Fn tanh
+and the
+.Fn tanhf
+functions compute the hyperbolic tangent of
+.Fa x .
+For a discussion of error due to roundoff, see
+.Xr math 3 .
+.Sh RETURN VALUES
+The
+.Fn tanh
+and the
+.Fn tanhf
+functions return the hyperbolic tangent value.
+.Sh SEE ALSO
+.Xr acos 3 ,
+.Xr asin 3 ,
+.Xr atan 3 ,
+.Xr atan2 3 ,
+.Xr cos 3 ,
+.Xr cosh 3 ,
+.Xr ctanh 3 ,
+.Xr math 3 ,
+.Xr sin 3 ,
+.Xr sinh 3 ,
+.Xr tan 3
+.Sh STANDARDS
+The
+.Fn tanh
+function conforms to
+.St -isoC .

man/trunc.3

@@ -0,0 +1,80 @@
+.\" Copyright (c) 2004, 2005 David Schultz <[email protected]>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\" $FreeBSD: src/lib/msun/man/trunc.3,v 1.3 2005/06/15 19:04:04 ru Exp $
+.\"
+.Dd April 16, 2005
+.Dt TRUNC 3
+.Os
+.Sh NAME
+.Nm trunc ,
+.Nm truncf ,
+.Nm truncl
+.Nd nearest integral value with magnitude less than or equal to |x|
+.Sh LIBRARY
+.Lb libm
+.Sh SYNOPSIS
+.In math.h
+.Ft double
+.Fn trunc "double x"
+.Ft float
+.Fn truncf "float x"
+.Ft "long double"
+.Fn truncl "long double x"
+.Sh DESCRIPTION
+The
+.Fn trunc ,
+.Fn truncf ,
+and
+.Fn truncl
+functions return the nearest integral value with magnitude less than
+or equal to
+.Pf | Fa x Ns | .
+They are equivalent to
+.Fn rint ,
+.Fn rintf ,
+and
+.Fn rintl ,
+respectively, in the
+.Dv FE_TOWARDZERO
+rounding mode.
+.Sh SEE ALSO
+.Xr ceil 3 ,
+.Xr fesetround 3 ,
+.Xr floor 3 ,
+.Xr math 3 ,
+.Xr nextafter 3 ,
+.Xr rint 3 ,
+.Xr round 3
+.Sh STANDARDS
+The
+.Fn trunc ,
+.Fn truncf ,
+and
+.Fn truncl
+functions conform to
+.St -isoC-99 .
+.Sh HISTORY
+These routines first appeared in
+.Fx 5.3 .

mips/Makefile.inc

@@ -0,0 +1,4 @@
+# $FreeBSD: src/lib/msun/mips/Makefile.inc,v 1.1 2008/04/26 12:20:29 imp Exp $
+
+LDBL_PREC = 53
+SYM_MAPS += ${.CURDIR}/mips/Symbol.map

mips/Symbol.map

@@ -0,0 +1,13 @@
+/*
+ * $FreeBSD: src/lib/msun/mips/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
+ */
+FBSD_1.0 {
+};
+
+FBSD_1.3 {
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+	feupdateenv;
+};

mips/fenv.c

@@ -0,0 +1,52 @@
+/*-
+ * Copyright (c) 2004 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/mips/fenv.c,v 1.3 2011/10/16 05:37:56 das Exp $
+ */
+
+#define	__fenv_static
+#include "fenv.h"
+
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
+
+/*
+ * Hopefully the system ID byte is immutable, so it's valid to use
+ * this as a default environment.
+ */
+const fenv_t __fe_dfl_env = 0;
+
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+extern inline int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+extern inline int feraiseexcept(int __excepts);
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+extern inline int fegetenv(fenv_t *__envp);
+extern inline int feholdexcept(fenv_t *__envp);
+extern inline int fesetenv(const fenv_t *__envp);
+extern inline int feupdateenv(const fenv_t *__envp);

mips/fenv.h

@@ -0,0 +1,223 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/mips/fenv.h,v 1.2 2011/10/10 15:43:09 das Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/_types.h>
+
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
+typedef	__uint32_t	fenv_t;
+typedef	__uint32_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INVALID	0x0001
+#define	FE_DIVBYZERO	0x0002
+#define	FE_OVERFLOW	0x0004
+#define	FE_UNDERFLOW	0x0008
+#define	FE_INEXACT	0x0010
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_INEXACT | \
+			 FE_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_TOWARDZERO	0x0001
+#define	FE_UPWARD	0x0002
+#define	FE_DOWNWARD	0x0003
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+__BEGIN_DECLS
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+/* We need to be able to map status flag positions to mask flag positions */
+#define _FPUSW_SHIFT	16
+#define	_ENABLE_MASK	(FE_ALL_EXCEPT << _FPUSW_SHIFT)
+
+#ifdef	ARM_HARD_FLOAT
+#define	__rfs(__fpsr)	__asm __volatile("rfs %0" : "=r" (*(__fpsr)))
+#define	__wfs(__fpsr)	__asm __volatile("wfs %0" : : "r" (__fpsr))
+#else
+#define __rfs(__fpsr)
+#define __wfs(__fpsr)
+#endif
+
+__fenv_static inline int
+feclearexcept(int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__fpsr &= ~__excepts;
+	__wfs(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	*__flagp = __fpsr & __excepts;
+	return (0);
+}
+
+__fenv_static inline int
+fesetexceptflag(const fexcept_t *__flagp, int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__fpsr &= ~__excepts;
+	__fpsr |= *__flagp & __excepts;
+	__wfs(__fpsr);
+	return (0);
+}
+
+__fenv_static inline int
+feraiseexcept(int __excepts)
+{
+	fexcept_t __ex = __excepts;
+
+	fesetexceptflag(&__ex, __excepts);	/* XXX */
+	return (0);
+}
+
+__fenv_static inline int
+fetestexcept(int __excepts)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	return (__fpsr & __excepts);
+}
+
+__fenv_static inline int
+fegetround(void)
+{
+
+	/*
+	 * Apparently, the rounding mode is specified as part of the
+	 * instruction format on ARM, so the dynamic rounding mode is
+	 * indeterminate.  Some FPUs may differ.
+	 */
+	return (-1);
+}
+
+__fenv_static inline int
+fesetround(int __round)
+{
+
+	return (-1);
+}
+
+__fenv_static inline int
+fegetenv(fenv_t *__envp)
+{
+
+	__rfs(__envp);
+	return (0);
+}
+
+__fenv_static inline int
+feholdexcept(fenv_t *__envp)
+{
+	fenv_t __env;
+
+	__rfs(&__env);
+	*__envp = __env;
+	__env &= ~(FE_ALL_EXCEPT | _ENABLE_MASK);
+	__wfs(__env);
+	return (0);
+}
+
+__fenv_static inline int
+fesetenv(const fenv_t *__envp)
+{
+
+	__wfs(*__envp);
+	return (0);
+}
+
+__fenv_static inline int
+feupdateenv(const fenv_t *__envp)
+{
+	fexcept_t __fpsr;
+
+	__rfs(&__fpsr);
+	__wfs(*__envp);
+	feraiseexcept(__fpsr & FE_ALL_EXCEPT);
+	return (0);
+}
+
+#if __BSD_VISIBLE
+
+/* We currently provide no external definitions of the functions below. */
+
+static inline int
+feenableexcept(int __mask)
+{
+	fenv_t __old_fpsr, __new_fpsr;
+
+	__rfs(&__old_fpsr);
+	__new_fpsr = __old_fpsr | (__mask & FE_ALL_EXCEPT) << _FPUSW_SHIFT;
+	__wfs(__new_fpsr);
+	return ((__old_fpsr >> _FPUSW_SHIFT) & FE_ALL_EXCEPT);
+}
+
+static inline int
+fedisableexcept(int __mask)
+{
+	fenv_t __old_fpsr, __new_fpsr;
+
+	__rfs(&__old_fpsr);
+	__new_fpsr = __old_fpsr & ~((__mask & FE_ALL_EXCEPT) << _FPUSW_SHIFT);
+	__wfs(__new_fpsr);
+	return ((__old_fpsr >> _FPUSW_SHIFT) & FE_ALL_EXCEPT);
+}
+
+static inline int
+fegetexcept(void)
+{
+	fenv_t __fpsr;
+
+	__rfs(&__fpsr);
+	return ((__fpsr & _ENABLE_MASK) >> _FPUSW_SHIFT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

powerpc/Makefile.inc

@@ -0,0 +1,4 @@
+# $FreeBSD: src/lib/msun/powerpc/Makefile.inc,v 1.2 2006/03/27 23:59:45 deischen Exp $
+
+LDBL_PREC = 53
+SYM_MAPS += ${.CURDIR}/powerpc/Symbol.map

powerpc/Symbol.map

@@ -0,0 +1,13 @@
+/*
+ * $FreeBSD: src/lib/msun/powerpc/Symbol.map,v 1.3 2011/10/10 15:43:09 das Exp $
+ */
+FBSD_1.0 {
+};
+
+FBSD_1.3 {
+	fesetexceptflag;
+	feraiseexcept;
+	fegetenv;
+	feholdexcept;
+	feupdateenv;
+};

powerpc/fenv.c

@@ -0,0 +1,48 @@
+/*-
+ * Copyright (c) 2004 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/powerpc/fenv.c,v 1.3 2011/10/16 05:37:56 das Exp $
+ */
+
+#define	__fenv_static
+#include "fenv.h"
+
+#ifdef __GNUC_GNU_INLINE__
+#error "This file must be compiled with C99 'inline' semantics"
+#endif
+
+const fenv_t __fe_dfl_env = 0x00000000;
+
+extern inline int feclearexcept(int __excepts);
+extern inline int fegetexceptflag(fexcept_t *__flagp, int __excepts);
+extern inline int fesetexceptflag(const fexcept_t *__flagp, int __excepts);
+extern inline int feraiseexcept(int __excepts);
+extern inline int fetestexcept(int __excepts);
+extern inline int fegetround(void);
+extern inline int fesetround(int __round);
+extern inline int fegetenv(fenv_t *__envp);
+extern inline int feholdexcept(fenv_t *__envp);
+extern inline int fesetenv(const fenv_t *__envp);
+extern inline int feupdateenv(const fenv_t *__envp);

powerpc/fenv.h

@@ -0,0 +1,274 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <[email protected]>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/powerpc/fenv.h,v 1.5 2011/10/10 15:43:09 das Exp $
+ */
+
+#ifndef	_FENV_H_
+#define	_FENV_H_
+
+#include <sys/_types.h>
+
+#ifndef	__fenv_static
+#define	__fenv_static	static
+#endif
+
+typedef	__uint32_t	fenv_t;
+typedef	__uint32_t	fexcept_t;
+
+/* Exception flags */
+#define	FE_INEXACT	0x02000000
+#define	FE_DIVBYZERO	0x04000000
+#define	FE_UNDERFLOW	0x08000000
+#define	FE_OVERFLOW	0x10000000
+#define	FE_INVALID	0x20000000	/* all types of invalid FP ops */
+
+/*
+ * The PowerPC architecture has extra invalid flags that indicate the
+ * specific type of invalid operation occurred.  These flags may be
+ * tested, set, and cleared---but not masked---separately.  All of
+ * these bits are cleared when FE_INVALID is cleared, but only
+ * FE_VXSOFT is set when FE_INVALID is explicitly set in software.
+ */
+#define	FE_VXCVI	0x00000100	/* invalid integer convert */
+#define	FE_VXSQRT	0x00000200	/* square root of a negative */
+#define	FE_VXSOFT	0x00000400	/* software-requested exception */
+#define	FE_VXVC		0x00080000	/* ordered comparison involving NaN */
+#define	FE_VXIMZ	0x00100000	/* inf * 0 */
+#define	FE_VXZDZ	0x00200000	/* 0 / 0 */
+#define	FE_VXIDI	0x00400000	/* inf / inf */
+#define	FE_VXISI	0x00800000	/* inf - inf */
+#define	FE_VXSNAN	0x01000000	/* operation on a signalling NaN */
+#define	FE_ALL_INVALID	(FE_VXCVI | FE_VXSQRT | FE_VXSOFT | FE_VXVC | \
+			 FE_VXIMZ | FE_VXZDZ | FE_VXIDI | FE_VXISI | \
+			 FE_VXSNAN | FE_INVALID)
+#define	FE_ALL_EXCEPT	(FE_DIVBYZERO | FE_INEXACT | \
+			 FE_ALL_INVALID | FE_OVERFLOW | FE_UNDERFLOW)
+
+/* Rounding modes */
+#define	FE_TONEAREST	0x0000
+#define	FE_TOWARDZERO	0x0001
+#define	FE_UPWARD	0x0002
+#define	FE_DOWNWARD	0x0003
+#define	_ROUND_MASK	(FE_TONEAREST | FE_DOWNWARD | \
+			 FE_UPWARD | FE_TOWARDZERO)
+
+__BEGIN_DECLS
+
+/* Default floating-point environment */
+extern const fenv_t	__fe_dfl_env;
+#define	FE_DFL_ENV	(&__fe_dfl_env)
+
+/* We need to be able to map status flag positions to mask flag positions */
+#define	_FPUSW_SHIFT	22
+#define	_ENABLE_MASK	((FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
+			 FE_OVERFLOW | FE_UNDERFLOW) >> _FPUSW_SHIFT)
+
+#ifndef _SOFT_FLOAT
+#define	__mffs(__env)	__asm __volatile("mffs %0" : "=f" (*(__env)))
+#define	__mtfsf(__env)	__asm __volatile("mtfsf 255,%0" : : "f" (__env))
+#else
+#define	__mffs(__env)
+#define	__mtfsf(__env)
+#endif
+
+union __fpscr {
+	double __d;
+	struct {
+		__uint32_t __junk;
+		fenv_t __reg;
+	} __bits;
+};
+
+__fenv_static inline int
+feclearexcept(int __excepts)
+{
+	union __fpscr __r;
+
+	if (__excepts & FE_INVALID)
+		__excepts |= FE_ALL_INVALID;
+	__mffs(&__r.__d);
+	__r.__bits.__reg &= ~__excepts;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+fegetexceptflag(fexcept_t *__flagp, int __excepts)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	*__flagp = __r.__bits.__reg & __excepts;
+	return (0);
+}
+
+__fenv_static inline int
+fesetexceptflag(const fexcept_t *__flagp, int __excepts)
+{
+	union __fpscr __r;
+
+	if (__excepts & FE_INVALID)
+		__excepts |= FE_ALL_EXCEPT;
+	__mffs(&__r.__d);
+	__r.__bits.__reg &= ~__excepts;
+	__r.__bits.__reg |= *__flagp & __excepts;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+feraiseexcept(int __excepts)
+{
+	union __fpscr __r;
+
+	if (__excepts & FE_INVALID)
+		__excepts |= FE_VXSOFT;
+	__mffs(&__r.__d);
+	__r.__bits.__reg |= __excepts;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+fetestexcept(int __excepts)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	return (__r.__bits.__reg & __excepts);
+}
+
+__fenv_static inline int
+fegetround(void)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	return (__r.__bits.__reg & _ROUND_MASK);
+}
+
+__fenv_static inline int
+fesetround(int __round)
+{
+	union __fpscr __r;
+
+	if (__round & ~_ROUND_MASK)
+		return (-1);
+	__mffs(&__r.__d);
+	__r.__bits.__reg &= ~_ROUND_MASK;
+	__r.__bits.__reg |= __round;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+fegetenv(fenv_t *__envp)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	*__envp = __r.__bits.__reg;
+	return (0);
+}
+
+__fenv_static inline int
+feholdexcept(fenv_t *__envp)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	*__envp = __r.__d;
+	__r.__bits.__reg &= ~(FE_ALL_EXCEPT | _ENABLE_MASK);
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+fesetenv(const fenv_t *__envp)
+{
+	union __fpscr __r;
+
+	__r.__bits.__reg = *__envp;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+__fenv_static inline int
+feupdateenv(const fenv_t *__envp)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	__r.__bits.__reg &= FE_ALL_EXCEPT;
+	__r.__bits.__reg |= *__envp;
+	__mtfsf(__r.__d);
+	return (0);
+}
+
+#if __BSD_VISIBLE
+
+/* We currently provide no external definitions of the functions below. */
+
+static inline int
+feenableexcept(int __mask)
+{
+	union __fpscr __r;
+	fenv_t __oldmask;
+
+	__mffs(&__r.__d);
+	__oldmask = __r.__bits.__reg;
+	__r.__bits.__reg |= (__mask & FE_ALL_EXCEPT) >> _FPUSW_SHIFT;
+	__mtfsf(__r.__d);
+	return ((__oldmask & _ENABLE_MASK) << _FPUSW_SHIFT);
+}
+
+static inline int
+fedisableexcept(int __mask)
+{
+	union __fpscr __r;
+	fenv_t __oldmask;
+
+	__mffs(&__r.__d);
+	__oldmask = __r.__bits.__reg;
+	__r.__bits.__reg &= ~((__mask & FE_ALL_EXCEPT) >> _FPUSW_SHIFT);
+	__mtfsf(__r.__d);
+	return ((__oldmask & _ENABLE_MASK) << _FPUSW_SHIFT);
+}
+
+static inline int
+fegetexcept(void)
+{
+	union __fpscr __r;
+
+	__mffs(&__r.__d);
+	return ((__r.__bits.__reg & _ENABLE_MASK) << _FPUSW_SHIFT);
+}
+
+#endif /* __BSD_VISIBLE */
+
+__END_DECLS
+
+#endif	/* !_FENV_H_ */

sparc64/Makefile.inc

@@ -0,0 +1,5 @@
+# $FreeBSD: src/lib/msun/sparc64/Makefile.inc,v 1.3 2006/03/27 23:59:45 deischen Exp $
+
+ARCH_SRCS= e_sqrt.S e_sqrtf.S
+LDBL_PREC= 113
+SYM_MAPS+= ${.CURDIR}/sparc64/Symbol.map