diff options
| -rw-r--r-- | lib/msun/i387/invtrig.c | 86 | ||||
| -rw-r--r-- | lib/msun/ld80/invtrig.h | 21 | ||||
| -rw-r--r-- | lib/msun/src/e_acosl.c | 14 | ||||
| -rw-r--r-- | lib/msun/src/e_atan2l.c | 14 |
4 files changed, 127 insertions, 8 deletions
diff --git a/lib/msun/i387/invtrig.c b/lib/msun/i387/invtrig.c new file mode 100644 index 0000000..fac2d05 --- /dev/null +++ b/lib/msun/i387/invtrig.c @@ -0,0 +1,86 @@ +/*- + * Copyright (c) 2008 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> +__FBSDID("$FreeBSD$"); + +#include <stdint.h> + +#define STRUCT_DECLS +#include "invtrig.h" + +/* + * asinl() and acosl() + */ +const LONGDOUBLE +pS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /* 1.66666666666666666631e-01L */ +pS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */ +pS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /* 3.69068046323246813704e-01L */ +pS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */ +pS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /* 1.78324189708471965733e-02L */ +pS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */ +pS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */ +qS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */ +qS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /* 3.27309890266528636716e+00L */ +qS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */ +qS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /* 3.90699412641738801874e-01L */ +qS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */ + +/* + * atanl() + */ +const LONGDOUBLE atanhi[] = { + { 0xed63382b0dda7b45ULL, 0x3ffdU }, /* 4.63647609000806116202e-01L */ + { 0xc90fdaa22168c235ULL, 0x3ffeU }, /* 7.85398163397448309628e-01L */ + { 0xfb985e940fb4d900ULL, 0x3ffeU }, /* 9.82793723247329067960e-01L */ + { 0xc90fdaa22168c235ULL, 0x3fffU }, /* 1.57079632679489661926e+00L */ +}; + +const LONGDOUBLE atanlo[] = { + { 0xdfc88bd978751a07ULL, 0x3fbcU }, /* 1.18469937025062860669e-20L */ + { 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */ + { 0xf10f5e197793c283ULL, 0x3fbdU }, /* 2.55232234165405176172e-20L */ + { 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */ +}; + +const LONGDOUBLE aT[] = { + { 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /* 3.33333333333333333017e-01L */ + { 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */ + { 0x9249249248b81e3fULL, 0x3ffcU }, /* 1.42857142857046531280e-01L */ + { 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */ + { 0xba2e8b8dc280726aULL, 0x3ffbU }, /* 9.09090902935647302252e-02L */ + { 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */ + { 0x8888461d3099c677ULL, 0x3ffbU }, /* 6.66661718042406260546e-02L */ + { 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */ + { 0xd73ea84d24bae54aULL, 0x3ffaU }, /* 5.25499891539726639379e-02L */ + { 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */ + { 0xa54a26f4095f2a3aULL, 0x3ffaU }, /* 4.03539201366454414072e-02L */ + { 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */ + { 0xcc82292ab894b051ULL, 0x3ff8U }, /* 1.24822046299269234080e-02L */ +}; + +const LONGDOUBLE +pi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */ diff --git a/lib/msun/ld80/invtrig.h b/lib/msun/ld80/invtrig.h index 069a408..fe30c01 100644 --- a/lib/msun/ld80/invtrig.h +++ b/lib/msun/ld80/invtrig.h @@ -64,10 +64,21 @@ #define pio2_lo atanlo[3] #define pio4_hi atanhi[1] -extern const long double pS0, pS1, pS2, pS3, pS4, pS5, pS6; -extern const long double qS1, qS2, qS3, qS4, qS5; -extern const long double atanhi[], atanlo[], aT[]; -extern const long double pi_lo; +#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) @@ -99,3 +110,5 @@ T_odd(long double x) return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * \ (aT[9] + x * aT[11]))))); } + +#endif diff --git a/lib/msun/src/e_acosl.c b/lib/msun/src/e_acosl.c index 4e9df52..d33c8fe 100644 --- a/lib/msun/src/e_acosl.c +++ b/lib/msun/src/e_acosl.c @@ -27,9 +27,19 @@ __FBSDID("$FreeBSD$"); #include "math_private.h" static const long double -one= 1.00000000000000000000e+00, +one= 1.00000000000000000000e+00; + +#ifdef __i386__ +/* XXX Work around the fact that gcc truncates long double constants on i386 */ +static volatile double +pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */ +pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */ +#define pi ((long double)pi1 + pi2) +#else +static const long double pi = 3.14159265358979323846264338327950280e+00L; - +#endif + long double acosl(long double x) { diff --git a/lib/msun/src/e_atan2l.c b/lib/msun/src/e_atan2l.c index 8368bbf..0071a7c 100644 --- a/lib/msun/src/e_atan2l.c +++ b/lib/msun/src/e_atan2l.c @@ -30,8 +30,18 @@ __FBSDID("$FreeBSD$"); static volatile long double tiny = 1.0e-300; static const long double -zero = 0.0, -pi = 3.14159265358979323846264338327950280e+00L; +zero = 0.0; + +#ifdef __i386__ +/* XXX Work around the fact that gcc truncates long double constants on i386 */ +static volatile double +pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */ +pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */ +#define pi ((long double)pi1 + pi2) +#else +static const long double +pi = 3.14159265358979323846264338327950280e+00L; +#endif long double atan2l(long double y, long double x) |
