long double nanl(const char *);
float nextafterf(float, float);
+/* 7.12.12 maximum, minimum, positive difference */
+double fmax(double, double);
+float fmaxf(float, float);
+long double fmaxl(long double, long double);
+
+double fmin(double, double);
+float fminf(float, float);
+long double fminl(long double, long double);
+
#endif /* __ISO_C_VISIBLE >= 1999 */
#if __ISO_C_VISIBLE >= 1999
MAN+= acos.3 acosh.3 asin.3 asinh.3 atan.3 atan2.3 atanh.3 ceil.3 \
cos.3 cosh.3 erf.3 exp.3 fabs.3 feclearexcept.3 feenableexcept.3 \
- fegetenv.3 fegetround.3 fenv.3 floor.3 fmod.3 hypot.3 ieee.3 \
+ fegetenv.3 fegetround.3 fenv.3 floor.3 fmax.3 fmod.3 hypot.3 ieee.3 \
ieee_test.3 j0.3 lgamma.3 math.3 rint.3 round.3 sin.3 \
sinh.3 sqrt.3 tan.3 tanh.3 trunc.3
MLINKS+=fegetenv.3 feholdexcept.3 fegetenv.3 fesetenv.3 fegetenv.3 feupdateenv.3
MLINKS+=fegetround.3 fesetround.3
MLINKS+=floor.3 floorf.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
MLINKS+=hypot.3 hypotf.3 hypot.3 cabs.3 hypot.3 cabsf.3
MLINKS+=ieee.3 copysign.3 ieee.3 copysignf.3 ieee.3 finite.3 ieee.3 finitef.3 \
--- /dev/null
+.\" Copyright (c) 2004 David Schultz <das@FreeBSD.org>
+.\" 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.
+.\"
+.Dd May 31, 2009
+.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
+.Dx 2.3 .
s_asinh.c s_asinhf.c s_atan.c s_atanf.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_erf.c \
s_erff.c s_expm1.c s_expm1f.c s_fabsf.c s_finite.c \
- s_finitef.c s_floor.c s_floorf.c s_frexpf.c s_frexpl.c s_ilogb.c \
+ s_finitef.c s_floor.c s_floorf.c s_fmax.c s_fmaxf.c s_fmaxl.c \
+ s_fmin.c s_fminf.c s_fminl.c s_frexpf.c s_frexpl.c s_ilogb.c \
s_ilogbf.c s_ldexpf.c s_log1p.c s_log1pf.c s_logb.c s_logbf.c \
s_modff.c s_nextafter.c s_nextafterf.c s_rint.c s_rintf.c \
s_round.c s_roundf.c s_scalbn.c s_scalbnf.c \
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+double
+fmax(double x, double y)
+{
+ union IEEEd2bits u[2];
+
+ u[0].d = x;
+ u[1].d = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 2047 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 2047 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[0].bits.sign].d);
+
+ return (x > y ? x : y);
+}
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+float
+fmaxf(float x, float y)
+{
+ union IEEEf2bits u[2];
+
+ u[0].f = x;
+ u[1].f = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 255 && u[0].bits.man != 0)
+ return (y);
+ if (u[1].bits.exp == 255 && u[1].bits.man != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[0].bits.sign].f);
+
+ return (x > y ? x : y);
+}
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+fmaxl(long double x, long double y)
+{
+ union IEEEl2bits u[2];
+
+ u[0].e = x;
+ mask_nbit_l(u[0]);
+ u[1].e = y;
+ mask_nbit_l(u[1]);
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 32767 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 32767 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[0].bits.sign ? y : x);
+
+ return (x > y ? x : y);
+}
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+double
+fmin(double x, double y)
+{
+ union IEEEd2bits u[2];
+
+ u[0].d = x;
+ u[1].d = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 2047 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 2047 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[1].bits.sign].d);
+
+ return (x < y ? x : y);
+}
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+float
+fminf(float x, float y)
+{
+ union IEEEf2bits u[2];
+
+ u[0].f = x;
+ u[1].f = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 255 && u[0].bits.man != 0)
+ return (y);
+ if (u[1].bits.exp == 255 && u[1].bits.man != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[1].bits.sign].f);
+
+ return (x < y ? x : y);
+}
--- /dev/null
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * 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>
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+fminl(long double x, long double y)
+{
+ union IEEEl2bits u[2];
+
+ u[0].e = x;
+ mask_nbit_l(u[0]);
+ u[1].e = y;
+ mask_nbit_l(u[1]);
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 32767 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 32767 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[1].bits.sign ? y : x);
+
+ return (x < y ? x : y);
+}