diff options
| -rw-r--r-- | include/math.h | 13 | ||||
| -rw-r--r-- | lib/libm/Makefile | 10 | ||||
| -rw-r--r-- | lib/libm/Symbols.map | 3 | ||||
| -rw-r--r-- | lib/libm/hidden/math.h | 3 | ||||
| -rw-r--r-- | lib/libm/man/sincos.3 | 78 | ||||
| -rw-r--r-- | lib/libm/shlib_version | 2 | ||||
| -rw-r--r-- | lib/libm/src/k_sincos.h | 49 | ||||
| -rw-r--r-- | lib/libm/src/k_sincosf.h | 40 | ||||
| -rw-r--r-- | lib/libm/src/ld128/k_sincosl.h | 68 | ||||
| -rw-r--r-- | lib/libm/src/ld80/k_sincosl.h | 69 | ||||
| -rw-r--r-- | lib/libm/src/s_sincos.c | 72 | ||||
| -rw-r--r-- | lib/libm/src/s_sincosf.c | 120 | ||||
| -rw-r--r-- | lib/libm/src/s_sincosl.c | 121 | ||||
| -rw-r--r-- | regress/lib/libm/fpaccuracy/Makefile | 4 | ||||
| -rw-r--r-- | regress/lib/libm/fpaccuracy/fpaccuracy.c | 4 | ||||
| -rw-r--r-- | regress/lib/libm/fpaccuracy/fpaccuracy.h | 4 | ||||
| -rw-r--r-- | regress/lib/libm/fpaccuracy/sincos.c | 1299 | ||||
| -rw-r--r-- | regress/lib/libm/fpaccuracy/sincos2.c | 1462 |
18 files changed, 3410 insertions, 11 deletions
diff --git a/include/math.h b/include/math.h index 783e5bb37a0..e6dd268c7f7 100644 --- a/include/math.h +++ b/include/math.h @@ -1,4 +1,4 @@ -/* $OpenBSD: math.h,v 1.35 2016/03/17 20:55:35 jca Exp $ */ +/* $OpenBSD: math.h,v 1.36 2018/03/10 20:52:58 kettenis Exp $ */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. @@ -273,6 +273,8 @@ int finite(double); double gamma_r(double, int *); double lgamma_r(double, int *); +void sincos(double, double *, double *); + /* * IEEE Test Vector */ @@ -382,6 +384,8 @@ int isnanf(float); float gammaf_r(float, int *); float lgammaf_r(float, int *); +void sincosf(float, float *, float *); + /* * Float version of IEEE Test Vector */ @@ -461,6 +465,13 @@ long double fmal(long double, long double, long double); #endif /* __ISO_C_VISIBLE >= 1999 */ /* + * Long double versions of BSD math library entry points + */ +#if __BSD_VISIBLE +void sincosl(long double, long double *, long double *); +#endif + +/* * Library implementation */ int __fpclassify(double); diff --git a/lib/libm/Makefile b/lib/libm/Makefile index 092cc053fab..2921d8237ee 100644 --- a/lib/libm/Makefile +++ b/lib/libm/Makefile @@ -1,4 +1,4 @@ -# $OpenBSD: Makefile,v 1.117 2018/02/28 16:00:00 kettenis Exp $ +# $OpenBSD: Makefile,v 1.118 2018/03/10 20:52:58 kettenis Exp $ # $NetBSD: Makefile,v 1.28 1995/11/20 22:06:19 jtc Exp $ # # @(#)Makefile 5.1beta 93/09/24 @@ -101,8 +101,8 @@ COMMON_SRCS = b_exp__D.c b_log__D.c b_tgamma.c \ s_nextafterf.c s_nexttowardf.c s_remquo.c s_remquof.c s_rint.c \ s_rintf.c \ s_scalbn.c s_scalbnf.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_trunc.c \ + s_significandf.c s_sin.c s_sinf.c s_sincos.c s_sincosf.c \ + s_tan.c s_tanf.c s_tanh.c s_tanhf.c s_trunc.c \ s_truncf.c w_drem.c w_dremf.c w_gamma.c w_gamma_r.c w_gammaf.c \ w_gammaf_r.c w_lgamma.c w_lgammaf.c @@ -119,7 +119,7 @@ LONG_SRCS = e_acoshl.c e_acosl.c e_asinl.c e_atan2l.c e_atanhl.c \ s_floorl.c s_fmal.c s_fmaxl.c s_fminl.c s_frexpl.c s_ilogbl.c \ s_llrintl.c s_llroundl.c s_log1pl.c s_logbl.c s_lrintl.c \ s_lroundl.c s_modfl.c s_nanl.c s_nextafterl.c s_nexttoward.c \ - s_remquol.c s_rintl.c s_roundl.c s_scalbnl.c s_sinl.c \ + s_remquol.c s_rintl.c s_roundl.c s_scalbnl.c s_sinl.c s_sincosl.c \ s_tanhl.c s_tanl.c s_truncl.c # math routines that are completely MI @@ -158,7 +158,7 @@ MAN+= acos.3 acosh.3 asin.3 asinh.3 atan.3 atan2.3 atanh.3 ceil.3 \ fdim.3 feclearexcept.3 feenableexcept.3 fegetenv.3 \ fegetround.3 floor.3 fma.3 fmax.3 fmod.3 hypot.3 ilogb.3 j0.3 \ lgamma.3 logb.3 lrint.3 lround.3 nan.3 nextafter.3 \ - remainder.3 rint.3 round.3 scalbn.3 sin.3 sinh.3 sqrt.3 \ + remainder.3 rint.3 round.3 scalbn.3 sin.3 sincos.3 sinh.3 sqrt.3 \ tan.3 tanh.3 trunc.3 MAN+= cacos.3 cacosh.3 carg.3 casin.3 casinh.3 catan.3 catanh.3 \ diff --git a/lib/libm/Symbols.map b/lib/libm/Symbols.map index 1f741356388..b1969882564 100644 --- a/lib/libm/Symbols.map +++ b/lib/libm/Symbols.map @@ -255,6 +255,9 @@ significand; significandf; sin; + sincos; + sincosf; + sincosl; sinf; sinh; sinhf; diff --git a/lib/libm/hidden/math.h b/lib/libm/hidden/math.h index dcf64c038c6..3c0c997ac0c 100644 --- a/lib/libm/hidden/math.h +++ b/lib/libm/hidden/math.h @@ -172,6 +172,9 @@ PROTO_NORMAL(scalbnl); PROTO_DEPRECATED(significand); PROTO_DEPRECATED(significandf); PROTO_NORMAL(sin); +PROTO_DEPRECATED(sincos); +PROTO_DEPRECATED(sincosf); +PROTO_DEPRECATED(sincosl); PROTO_NORMAL(sinf); PROTO_NORMAL(sinh); PROTO_NORMAL(sinhf); diff --git a/lib/libm/man/sincos.3 b/lib/libm/man/sincos.3 new file mode 100644 index 00000000000..81c73c9dc21 --- /dev/null +++ b/lib/libm/man/sincos.3 @@ -0,0 +1,78 @@ +.\" $OpenBSD: sincos.3,v 1.1 2018/03/10 20:52:58 kettenis Exp $ +.\" Copyright (c) 2011 Steven G. Kargl. +.\" +.\" 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: head/lib/msun/man/sincos.3 319047 2017-05-28 06:13:38Z mmel $ +.\" +.Dd $Mdocdate: March 10 2018 $ +.Dt SINCOS 3 +.Os +.Sh NAME +.Nm sincos , +.Nm sincosf , +.Nm sincosl +.Nd sine and cosine functions +.Sh SYNOPSIS +.In math.h +.Ft void +.Fn sincos "double x" "double *s" "double *c" +.Ft void +.Fn sincosf "float x" "float *s" "float *c" +.Ft void +.Fn sincosl "long double x" "long double *s" "long double *c" +.Sh DESCRIPTION +The +.Fn sincos , +.Fn sincosf , +and +.Fn sincosl +functions compute the sine and cosine of +.Fa x . +Using these functions allows argument reduction to occur only +once instead of twice with individual invocations of +.Fn sin +and +.Fn cos . +Like +.Fn sin +and +.Fn cos , +a large magnitude argument may yield a result with little +or no significance. +.Sh RETURN VALUES +Upon returning from +.Fn sincos , +.Fn sincosf , +and +.Fn sincosl , +the objects pointed to by +.Ar "*s" +and +.Ar "*c" +are assigned the values of sine and cosine, respectively. +.Sh SEE ALSO +.Xr cos 3 , +.Xr sin 3 +.Sh HISTORY +These functions first appeared in +.Ox 6.3 . diff --git a/lib/libm/shlib_version b/lib/libm/shlib_version index c10074d52ae..a31d18257cb 100644 --- a/lib/libm/shlib_version +++ b/lib/libm/shlib_version @@ -1,2 +1,2 @@ major=10 -minor=0 +minor=1 diff --git a/lib/libm/src/k_sincos.h b/lib/libm/src/k_sincos.h new file mode 100644 index 00000000000..796e72af89e --- /dev/null +++ b/lib/libm/src/k_sincos.h @@ -0,0 +1,49 @@ +/*- + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + * k_sin.c and k_cos.c merged by Steven G. Kargl. + */ + +static const double +S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ +S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ +S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ +S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ +S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ +S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ + +static const double +C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ +C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ +C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ +C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ +C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ +C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ + +static inline void +__kernel_sincos(double x, double y, int iy, double *sn, double *cs) +{ + double hz, r, v, w, z; + + z = x * x; + w = z * z; + r = S2 + z * (S3 + z * S4) + z * w * (S5 + z * S6); + v = z * x; + + if (iy == 0) + *sn = x + v * (S1 + z * r); + else + *sn = x - ((z * (y / 2 - v * r) - y) - v * S1); + + r = z * (C1 + z * (C2 + z * C3)) + w * w * (C4 + z * (C5 + z * C6)); + hz = z / 2; + w = 1 - hz; + *cs = w + (((1 - w) - hz) + (z * r - x * y)); +} diff --git a/lib/libm/src/k_sincosf.h b/lib/libm/src/k_sincosf.h new file mode 100644 index 00000000000..f031016b79d --- /dev/null +++ b/lib/libm/src/k_sincosf.h @@ -0,0 +1,40 @@ +/*- + * ==================================================== + * 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. + * ==================================================== + * + * k_sinf.c and k_cosf.c merged by Steven G. Kargl. + */ + +/* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */ +static const double +S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */ +S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */ +S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */ +S4 = 0x16cd878c3b46a7.0p-71; /* 0.0000027183114939898219064 */ + +/* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */ +static const double +C0 = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */ +C1 = 0x155553e1053a42.0p-57, /* 0.0416666233237390631894 */ +C2 = -0x16c087e80f1e27.0p-62, /* -0.00138867637746099294692 */ +C3 = 0x199342e0ee5069.0p-68; /* 0.0000243904487962774090654 */ + +static inline void +__kernel_sincosdf(double x, float *sn, float *cs) +{ + double r, s, w, z; + + z = x * x; + w = z * z; + r = S3 + z * S4; + s = z * x; + *sn = (x + s * (S1 + z * S2)) + s * w * r; + r = C2 + z * C3; + *cs = ((1 + z * C0) + w * C1) + (w * z) * r; +} diff --git a/lib/libm/src/ld128/k_sincosl.h b/lib/libm/src/ld128/k_sincosl.h new file mode 100644 index 00000000000..55247bbd189 --- /dev/null +++ b/lib/libm/src/ld128/k_sincosl.h @@ -0,0 +1,68 @@ +/*- + * ==================================================== + * 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. + * ==================================================== + * + * k_sinl.c and k_cosl.c merged by Steven G. Kargl + */ + +static const long double +C1 = 0.04166666666666666666666666666666658424671L, +C2 = -0.001388888888888888888888888888863490893732L, +C3 = 0.00002480158730158730158730158600795304914210L, +C4 = -0.2755731922398589065255474947078934284324e-6L, +C5 = 0.2087675698786809897659225313136400793948e-8L, +C6 = -0.1147074559772972315817149986812031204775e-10L, +C7 = 0.4779477332386808976875457937252120293400e-13L, +S1 = -0.16666666666666666666666666666666666606732416116558L, +S2 = 0.0083333333333333333333333333333331135404851288270047L, +S3 = -0.00019841269841269841269841269839935785325638310428717L, +S4 = 0.27557319223985890652557316053039946268333231205686e-5L, +S5 = -0.25052108385441718775048214826384312253862930064745e-7L, +S6 = 0.16059043836821614596571832194524392581082444805729e-9L, +S7 = -0.76471637318198151807063387954939213287488216303768e-12L, +S8 = 0.28114572543451292625024967174638477283187397621303e-14L; + +static const double +C8 = -0.1561920696721507929516718307820958119868e-15, +C9 = 0.4110317413744594971475941557607804508039e-18, +C10 = -0.8896592467191938803288521958313920156409e-21, +C11 = 0.1601061435794535138244346256065192782581e-23, +S9 = -0.82206352458348947812512122163446202498005154296863e-17, +S10 = 0.19572940011906109418080609928334380560135358385256e-19, +S11 = -0.38680813379701966970673724299207480965452616911420e-22, +S12 = 0.64038150078671872796678569586315881020659912139412e-25; + +static inline void +__kernel_sincosl(long double x, long double y, int iy, long double *sn, + long double *cs) +{ + long double hz, r, v, w, z; + + z = x * x; + v = z * x; + /* + * XXX Replace Horner scheme with an algorithm suitable for CPUs + * with more complex pipelines. + */ + r = S2 + z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * (S8 + + z * (S9 + z * (S10 + z * (S11 + z * S12))))))))); + + if (iy == 0) + *sn = x + v * (S1 + z * r); + else + *cs = x - ((z * (y / 2 - v * r) - y) - v * S1); + + hz = z / 2; + w = 1 - hz; + r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * (C6 + + z * (C7 + z * (C8 + z * (C9 + z * (C10 + z * C11)))))))))); + + *cs = w + (((1 - w) - hz) + (z * r - x * y)); +} diff --git a/lib/libm/src/ld80/k_sincosl.h b/lib/libm/src/ld80/k_sincosl.h new file mode 100644 index 00000000000..82421722f68 --- /dev/null +++ b/lib/libm/src/ld80/k_sincosl.h @@ -0,0 +1,69 @@ +/*- + * ==================================================== + * 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. + * ==================================================== + * + * k_sinl.c and k_cosl.c merged by Steven G. Kargl + */ + +#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 */ +S1hi = -0.16666666666666666, /* -0x15555555555555.0p-55 */ +S1lo = -9.2563760475949941e-18; /* -0x15580000000000.0p-109 */ +#define S1 ((long double)S1hi + S1lo) +#define C1 ((long double)C1hi + C1lo) +#else +static const long double +C1 = 0.0416666666666666666136L; /* 0xaaaaaaaaaaaaaa9b.0p-68 */ +S1 = -0.166666666666666666671L, /* -0xaaaaaaaaaaaaaaab.0p-66 */ +#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 */ +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 */ + +static inline void +__kernel_sincosl(long double x, long double y, int iy, long double *sn, + long double *cs) +{ + long double hz, r, v, w, z; + + z = x * x; + v = z * x; + /* + * XXX Replace Horner scheme with an algorithm suitable for CPUs + * with more complex pipelines. + */ + r = S2 + z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * S8))))); + + if (iy == 0) + *sn = x + v * (S1 + z * r); + else + *sn = x - ((z * (y / 2 - v * r) - y) - v * S1); + + hz = z / 2; + w = 1 - hz; + r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * (C6 + + z * C7)))))); + *cs = w + (((1 - w) - hz) + (z * r - x * y)); +} diff --git a/lib/libm/src/s_sincos.c b/lib/libm/src/s_sincos.c new file mode 100644 index 00000000000..754205c5626 --- /dev/null +++ b/lib/libm/src/s_sincos.c @@ -0,0 +1,72 @@ +/*- + * ==================================================== + * 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. + * ==================================================== + * + * s_sin.c and s_cos.c merged by Steven G. Kargl. Descriptions of the + * algorithms are contained in the original files. + */ + +#include <float.h> +#include "math.h" + +#include "math_private.h" +#include "k_sincos.h" + +void +sincos(double x, double *sn, double *cs) +{ + double y[2]; + int32_t n, ix; + + /* High word of x. */ + GET_HIGH_WORD(ix, x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffff; + if (ix <= 0x3fe921fb) { + if (ix < 0x3e400000) { /* |x| < 2**-27 */ + if ((int)x == 0) { /* Generate inexact. */ + *sn = x; + *cs = 1; + return; + } + } + __kernel_sincos(x, 0, 0, sn, cs); + return; + } + + /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */ + if (ix >= 0x7ff00000) { + *sn = x - x; + *cs = x - x; + return; + } + + /* Argument reduction. */ + n = __ieee754_rem_pio2(x, y); + + switch(n & 3) { + case 0: + __kernel_sincos(y[0], y[1], 1, sn, cs); + break; + case 1: + __kernel_sincos(y[0], y[1], 1, cs, sn); + *cs = -*cs; + break; + case 2: + __kernel_sincos(y[0], y[1], 1, sn, cs); + *sn = -*sn; + *cs = -*cs; + break; + default: + __kernel_sincos(y[0], y[1], 1, cs, sn); + *sn = -*sn; + } +} +LDBL_MAYBE_CLONE(sincos); diff --git a/lib/libm/src/s_sincosf.c b/lib/libm/src/s_sincosf.c new file mode 100644 index 00000000000..a02aa92ef3b --- /dev/null +++ b/lib/libm/src/s_sincosf.c @@ -0,0 +1,120 @@ +/*- + * ==================================================== + * 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. + * ==================================================== + */ + +/* s_sincosf.c -- float version of s_sincos.c. + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + * Optimized by Bruce D. Evans. + * Merged s_sinf.c and s_cosf.c by Steven G. Kargl. + */ + +#include <float.h> +#include "math.h" + +#include "math_private.h" +#include "k_sincosf.h" + +/* Small multiples of pi/2 rounded to double precision. */ +static const double +p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ +p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ +p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ +p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ + +void +sincosf(float x, float *sn, float *cs) +{ + float c, s; + float y[2]; + int32_t n, hx, ix; + + GET_FLOAT_WORD(hx, x); + ix = hx & 0x7fffffff; + + if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ + if (ix < 0x39800000) { /* |x| < 2**-12 */ + if ((int)x == 0) { + *sn = x; /* x with inexact if x != 0 */ + *cs = 1; + return; + } + } + __kernel_sincosdf(x, sn, cs); + return; + } + + if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ + if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ + if (hx > 0) { + __kernel_sincosdf(x - p1pio2, cs, sn); + *cs = -*cs; + } else { + __kernel_sincosdf(x + p1pio2, cs, sn); + *sn = -*sn; + } + } else { + if (hx > 0) + __kernel_sincosdf(x - p2pio2, sn, cs); + else + __kernel_sincosdf(x + p2pio2, sn, cs); + *sn = -*sn; + *cs = -*cs; + } + return; + } + + if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ + if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ + if (hx > 0) { + __kernel_sincosdf(x - p3pio2, cs, sn); + *sn = -*sn; + } else { + __kernel_sincosdf(x + p3pio2, cs, sn); + *cs = -*cs; + } + } else { + if (hx > 0) + __kernel_sincosdf(x - p4pio2, sn, cs); + else + __kernel_sincosdf(x + p4pio2, sn, cs); + } + return; + } + + /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */ + if (ix >= 0x7f800000) { + *sn = x - x; + *cs = x - x; + return; + } + + /* Argument reduction. */ + n = __ieee754_rem_pio2f(x, y); + s = __kernel_sinf(y[0], y[1], 1); + c = __kernel_cosf(y[0], y[1]); + + switch(n & 3) { + case 0: + *sn = s; + *cs = c; + break; + case 1: + *sn = c; + *cs = -s; + break; + case 2: + *sn = -s; + *cs = -c; + break; + default: + *sn = -c; + *cs = s; + } +} diff --git a/lib/libm/src/s_sincosl.c b/lib/libm/src/s_sincosl.c new file mode 100644 index 00000000000..e89d30c4b90 --- /dev/null +++ b/lib/libm/src/s_sincosl.c @@ -0,0 +1,121 @@ +/*- + * Copyright (c) 2007, 2010-2013 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 unmodified, 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. + * + * s_sinl.c and s_cosl.c merged by Steven G. Kargl. + */ + +#include <sys/types.h> +#include <machine/ieee.h> +#include <float.h> +#include <math.h> + +#include "math_private.h" + +#if LDBL_MANT_DIG == 64 +#include "../ld80/k_sincosl.h" +#define NX 3 +#define PREC 2 +#elif LDBL_MANT_DIG == 113 +#include "../ld128/k_sincosl.h" +#define NX 5 +#define PREC 3 +#else +#error "Unsupported long double format" +#endif + +static const long double two24 = 1.67772160000000000000e+07L; + +void +sincosl(long double x, long double *sn, long double *cs) +{ + union { + long double e; + struct ieee_ext bits; + } z; + int i, e0; + double xd[NX], yd[PREC]; + long double hi, lo; + + z.e = x; + z.bits.ext_sign = 0; + + /* Optimize the case where x is already within range. */ + if (z.e < M_PI_4) { + /* + * If x = +-0 or x is a subnormal number, then sin(x) = x and + * cos(x) = 1. + */ + if (z.bits.ext_exp == 0) { + *sn = x; + *cs = 1; + } else + __kernel_sincosl(x, 0, 0, sn, cs); + } + + /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */ + if (z.bits.ext_exp == 32767) { + *sn = x - x; + *cs = x - x; + } + + /* Split z.e into a 24-bit representation. */ + e0 = ilogbl(z.e) - 23; + z.e = scalbnl(z.e, -e0); + for (i = 0; i < NX; i++) { + xd[i] = (double)((int32_t)z.e); + z.e = (z.e - xd[i]) * two24; + } + + /* yd contains the pieces of xd rem pi/2 such that |yd| < pi/4. */ + e0 = __kernel_rem_pio2(xd, yd, e0, NX, PREC); + +#if PREC == 2 + hi = (long double)yd[0] + yd[1]; + lo = yd[1] - (hi - yd[0]); +#else /* PREC == 3 */ + long double t; + t = (long double)yd[2] + yd[1]; + hi = t + yd[0]; + lo = yd[0] - (hi - t); +#endif + + switch (e0 & 3) { + case 0: + __kernel_sincosl(hi, lo, 1, sn, cs); + break; + case 1: + __kernel_sincosl(hi, lo, 1, cs, sn); + *cs = -*cs; + break; + case 2: + __kernel_sincosl(hi, lo, 1, sn, cs); + *sn = -*sn; + *cs = -*cs; + break; + default: + __kernel_sincosl(hi, lo, 1, cs, sn); + *sn = -*sn; + } +} diff --git a/regress/lib/libm/fpaccuracy/Makefile b/regress/lib/libm/fpaccuracy/Makefile index 23592d9be36..a83b1a17051 100644 --- a/regress/lib/libm/fpaccuracy/Makefile +++ b/regress/lib/libm/fpaccuracy/Makefile @@ -1,10 +1,10 @@ -# $OpenBSD: Makefile,v 1.1 2009/04/09 01:24:43 martynas Exp $ +# $OpenBSD: Makefile,v 1.2 2018/03/10 20:52:58 kettenis Exp $ PROG = fpaccuracy SRCS = Gamma.c INV.c Pix.c acos.c acosh.c asin.c asinh.c atan.c \ atanh.c cos.c cosh.c erf.c erfc.c exp.c fpaccuracy.c j0.c \ j1.c lgamma.c log.c log10.c pow2_x.c powx_275.c sin.c \ - sinh.c sqrt.c tan.c tanh.c y0.c y1.c + sincos.c sincos2.c sinh.c sqrt.c tan.c tanh.c y0.c y1.c LDADD = -lm DPADD = ${LIBM} CLEANFILES += fpaccuracy.out diff --git a/regress/lib/libm/fpaccuracy/fpaccuracy.c b/regress/lib/libm/fpaccuracy/fpaccuracy.c index 29e8816ac3e..1645c95f7a8 100644 --- a/regress/lib/libm/fpaccuracy/fpaccuracy.c +++ b/regress/lib/libm/fpaccuracy/fpaccuracy.c @@ -1,4 +1,4 @@ -/* $OpenBSD: fpaccuracy.c,v 1.1 2009/04/09 01:24:43 martynas Exp $ */ +/* $OpenBSD: fpaccuracy.c,v 1.2 2018/03/10 20:52:58 kettenis Exp $ */ /* * Written by Martynas Venckus. Public domain @@ -42,6 +42,8 @@ main(int argc, char *argv[]) retval |= fpaccuracy_pow2_x(out); retval |= fpaccuracy_powx_275(out); retval |= fpaccuracy_sin(out); + retval |= fpaccuracy_sincos_sin(out); + retval |= fpaccuracy_sincos_cos(out); retval |= fpaccuracy_sinh(out); retval |= fpaccuracy_sqrt(out); retval |= fpaccuracy_tan(out); diff --git a/regress/lib/libm/fpaccuracy/fpaccuracy.h b/regress/lib/libm/fpaccuracy/fpaccuracy.h index 91566648565..7a8b40703e1 100644 --- a/regress/lib/libm/fpaccuracy/fpaccuracy.h +++ b/regress/lib/libm/fpaccuracy/fpaccuracy.h @@ -1,4 +1,4 @@ -/* $OpenBSD: fpaccuracy.h,v 1.1 2009/04/09 01:24:43 martynas Exp $ */ +/* $OpenBSD: fpaccuracy.h,v 1.2 2018/03/10 20:52:58 kettenis Exp $ */ /* * Written by Martynas Venckus. Public domain @@ -26,6 +26,8 @@ int fpaccuracy_log10(FILE *); int fpaccuracy_pow2_x(FILE *); int fpaccuracy_powx_275(FILE *); int fpaccuracy_sin(FILE *); +int fpaccuracy_sincos_sin(FILE *); +int fpaccuracy_sincos_cos(FILE *); int fpaccuracy_sinh(FILE *); int fpaccuracy_sqrt(FILE *); int fpaccuracy_tan(FILE *); diff --git a/regress/lib/libm/fpaccuracy/sincos.c b/regress/lib/libm/fpaccuracy/sincos.c new file mode 100644 index 00000000000..cef33555dbe --- /dev/null +++ b/regress/lib/libm/fpaccuracy/sincos.c @@ -0,0 +1,1299 @@ +/* $OpenBSD: sincos.c,v 1.1 2018/03/10 20:52:58 kettenis Exp $ */ + +/* + * Copyright (c) 2009 Gaston H. Gonnet <gonnet@inf.ethz.ch> + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +/* This program was generated automatically by a program written + by Gaston H. Gonnet on enigma on 2002-09-01 17:42:09. + Do not edit, rerun the original maple program. */ +#include "header.h" +#define DBL_MAX_EXP 1024 +#define N 1257 +#define F sincos_sin +#define Fs "sincos sin" +#define Fn fpaccuracy_sincos_sin + +double sincos_sin(double); + +static struct input_point { double arg_m, val, eps; + int arg_e, val_e; } input_points[N] = { + -7958517471031996.,6212835604728892.,.130833791443020784676,-48,101, + -7958517471031995.,-5588727300024200.,.261667582886055137131,-48,102, + -7958517471031969.,-7405673258539934.,-.120911444006621323138,-48,96, + -7958517471029387.,-5735734868167607.,-.235319538568943385656,-48,89, + -7958517470771212.,-8960446310473519.,.138230043465246743807,-48,83, + -7074237752028441.,-6523320454730237.,.439258852050649861914,-48,101, + -7074237752028440.,4967757600021511.,-.121482295898715466354,-48,102, + -7074237752028407.,4683147721975992.,.053738419552382839132,-48,95, + 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4586976137695743.,-9007193528220571.,-.199161840817056272896,-9,62, + 4586976137695745.,9007193528017475.,-.332693586842657359045,-9,62, + 8944333985714495.,9006832755334834.,-.081722808608585275535,-6,59, + 8944333985714497.,-9006832755343096.,.064132570972028475637,-6,59, + 6851593493588863.,9001336337944357.,.314533243558015997417,-4,57, + 6851593493588865.,-9001336337944208.,-.097401991988137061758,-4,57 }; +#include "trailer.h" + +double +sincos_sin(double x) +{ + double y, z; + + sincos(x, &y, &z); + return y; +} diff --git a/regress/lib/libm/fpaccuracy/sincos2.c b/regress/lib/libm/fpaccuracy/sincos2.c new file mode 100644 index 00000000000..198eedd7d3e --- /dev/null +++ b/regress/lib/libm/fpaccuracy/sincos2.c @@ -0,0 +1,1462 @@ +/* $OpenBSD: sincos2.c,v 1.1 2018/03/10 20:52:58 kettenis Exp $ */ + +/* + * Copyright (c) 2009 Gaston H. Gonnet <gonnet@inf.ethz.ch> + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +/* This program was generated automatically by a program written + by Gaston H. Gonnet on enigma on 2002-09-01 17:28:24. + Do not edit, rerun the original maple program. */ +#include "header.h" +#define DBL_MAX_EXP 1024 +#define N 1418 +#define F sincos_cos +#define Fs "sincos cos" +#define Fn fpaccuracy_sincos_cos + +double sincos_cos(double); + + /* 1 candidate values discarded */ + +static struct input_point { double arg_m, val, eps; + int arg_e, val_e; } input_points[N] = { + -8400657330644443.,7605196346403030.,-.044416560457894922563,-48,84, + -8400657330534880.,4869396273706365.,.169880788279836733219,-48,90, + -8400657330533784.,6289574084656790.,-.255257492927285191224,-48,97, + -8400657330533773.,6215974209430896.,-.336479547240553044078,-48,103, + -8400657330533772.,-7453205702383268.,-.084119886810127428296,-48,101, + -7516377611530218.,-7457913609436273.,-.383149878784768004998,-48,103, + -7516377611530217.,7142720852381924.,-.345787469696201618196,-48,101, + -7516377611530207.,6075919587486990.,.228388283142499089029,-48,97, + 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5706674932067742.,8913667029669242.,.426852375080671947110,-2,55, + 6134899525417044.,-8636562708039153.,.341335283153870185092,-1,54, + 6134899525417046.,8636562708039151.,.157445389056987762061,-1,54 }; +#include "trailer.h" + +double +sincos_cos(double x) +{ + double y, z; + + sincos(x, &y, &z); + return z; +} |