diff options
author | Brian Jones <cbj@gnu.org> | 2001-11-05 02:56:46 +0000 |
---|---|---|
committer | Brian Jones <cbj@gnu.org> | 2001-11-05 02:56:46 +0000 |
commit | 936e6f9bd41e192e1ede500ef5aa26dd2a276ec0 (patch) | |
tree | 0c60a4db8f04045d08eb13e41dc8618931b68331 /native/fdlibm/k_tan.c | |
parent | cd15a52840b278df0d1171d691cac036db373d28 (diff) | |
download | classpath-936e6f9bd41e192e1ede500ef5aa26dd2a276ec0.tar.gz |
* native/jni/awt: renamed native/jni/gtk-peer
* native/jni/javaio.h: moved to native/jni/java-io
* native/jni/javaio.c: moved to native/jni/java-io
* native/jni/java_io_File.c: moved to native/jni/java-io
* native/jni/java_io_FileDescriptor.c: moved to native/jni/java-io
* native/jni/java_io_FileInputStream.c: moved to native/jni/java-io
* native/jni/java_io_FileOutputStream.c: moved to native/jni/java-io
* native/jni/java_io_ObjectInputStream.c: moved to native/jni/java-io
* native/jni/java_io_ObjectOutputStream.c: moved to native/jni/java-io
* native/jni/java_io_RandomAccessFile.c: moved to native/jni/java-io
* native/jni/javalang.h: moved to native/jni/java-lang
* native/jni/javalang.c: moved to native/jni/java-lang
* native/jni/java_lang_Double.c: moved to native/jni/java-lang
* native/jni/java_lang_Float.c: moved to native/jni/java-lang
* native/jni/java_lang_Object.c: moved to native/jni/java-lang
* native/jni/java_lang_System.c: moved to native/jni/java-lang
* native/jni/java_lang_reflect_Array.c: moved to native/jni/java-lang
* native/jni/javanet.h: moved to native/jni/java-net
* native/jni/javanet.c: moved to native/jni/java-net
* native/jni/java_net_InetAddress.c: moved to native/jni/java-net
* native/jni/java_net_PlainDatagramSocketImpl.c: moved to
native/jni/java-net
* native/jni/java_net_PlainSocketImpl.c: moved to native/jni/java-net
* native/jni/java_util_ResourceBundle.c: moved to native/jni/java-util
* native/jni/java_util_TimeZone.c: moved to native/jni/java-util
* native/jni/ieeefp.h: moved to native/jni/mprec
* native/jni/java-assert.h: moved to native/jni/mprec
* native/jni/mprec.c: moved to native/jni/mprec
* native/jni/mprec.h: moved to native/jni/mprec
* native/jni/acos.c: removed
* native/jni/asin.c: removed
* native/jni/atan2.c: removed
* native/jni/atan.c: removed
* native/jni/ceil.c: removed
* native/jni/cos.c: removed
* native/jni/dtoa.c: removed
* native/jni/e_fmod.c: removed
* native/jni/exp.c: removed
* native/jni/floor.c: removed
* native/jni/jcl.c: removed
* native/jni/jcl.h: removed
* native/jni/k_cos.c: removed
* native/jni/k_rem_pio2.c: removed
* native/jni/k_sin.c: removed
* native/jni/k_tan.c: removed
* native/jni/log.c: removed
* native/jni/pow.c: removed
* native/jni/remainder.c: removed
* native/jni/rint.c: removed
* native/jni/s_fabs.c: removed
* native/jni/sin.c: removed
* native/jni/sqrt.c: removed
* native/jni/tan.c: removed
* native/jni/fdlibm.h: removed
* native/jni/java_math_BigInteger.c: no longer needed
* native/fdlibm/dtoa.c: added from gcj to sync sources
* native/fdlibm/e_acos.c: added from gcj to sync sources
* native/fdlibm/e_asin.c: added from gcj to sync sources
* native/fdlibm/e_atan2.c: added from gcj to sync sources
* native/fdlibm/e_exp.c: added from gcj to sync sources
* native/fdlibm/e_fmod.c: added from gcj to sync sources
* native/fdlibm/e_log.c: added from gcj to sync sources
* native/fdlibm/e_pow.c: added from gcj to sync sources
* native/fdlibm/e_remainder.c: added from gcj to sync sources
* native/fdlibm/e_rem_pio2.c: added from gcj to sync sources
* native/fdlibm/e_scalb.c: added from gcj to sync sources
* native/fdlibm/e_sqrt.c: added from gcj to sync sources
* native/fdlibm/fdlibm.h: added from gcj to sync sources
* native/fdlibm/ieeefp.h: added from gcj to sync sources
* native/fdlibm/java-assert.h: added from gcj to sync sources
* native/fdlibm/k_cos.c: added from gcj to sync sources
* native/fdlibm/k_rem_pio2.c: added from gcj to sync sources
* native/fdlibm/k_sin.c: added from gcj to sync sources
* native/fdlibm/k_tan.c: added from gcj to sync sources
* native/fdlibm/mprec.c: added from gcj to sync sources
* native/fdlibm/mprec.h: added from gcj to sync sources
* native/fdlibm/s_atan.c: added from gcj to sync sources
* native/fdlibm/s_ceil.c: added from gcj to sync sources
* native/fdlibm/s_copysign.c: added from gcj to sync sources
* native/fdlibm/s_cos.c: added from gcj to sync sources
* native/fdlibm/s_fabs.c: added from gcj to sync sources
* native/fdlibm/sf_fabs.c: added from gcj to sync sources
* native/fdlibm/s_floor.c: added from gcj to sync sources
* native/fdlibm/sf_rint.c: added from gcj to sync sources
* native/fdlibm/s_rint.c: added from gcj to sync sources
* native/fdlibm/s_scalbn.c: added from gcj to sync sources
* native/fdlibm/s_sin.c: added from gcj to sync sources
* native/fdlibm/s_tan.c: added from gcj to sync sources
* native/fdlibm/strtod.c: added from gcj to sync sources
* native/fdlibm/w_acos.c: added from gcj to sync sources
* native/fdlibm/w_asin.c: added from gcj to sync sources
* native/fdlibm/w_atan2.c: added from gcj to sync sources
* native/fdlibm/w_exp.c: added from gcj to sync sources
* native/fdlibm/w_fmod.c: added from gcj to sync sources
* native/fdlibm/w_log.c: added from gcj to sync sources
* native/fdlibm/w_pow.c: added from gcj to sync sources
* native/fdlibm/w_remainder.c: added from gcj to sync sources
* native/fdlibm/w_sqrt.c: added from gcj to sync sources
* native/fdlibm/.cvsignore: new file
* native/jni/gtk-peer/Makefile.am: added -module to LDFLAGS
* native/jni/java-io/Makefile.am: added -module to LDFLAGS
* native/jni/java-io/.cvsignore: new file
* native/jni/java-lang/Makefile.am: added -module to LDFLAGS
* native/jni/java-lang/.cvsignore: new file
* native/jni/java-net/Makefile.am: added -module to LDFLAGS
* native/jni/java-net/.cvsignore: new file
* native/jni/java-util/Makefile.am: added -module to LDFLAGS
* native/jni/java-util/.cvsignore: new file
* native/fdlibm/Makefile.am: added -module to LDFLAGS
* native/jni/Makefile.am: removed rules, SUBDIRS equals java-io,
java-lang, java-net, java-util, gtk-peer
* native/Makefile.am: prepended fdlibm to SUBDIRS
* java/lang/Math.java static(): load libjavalang.so instead of
libjavalangmath.so
* java/math/BigInteger.java: replaced our native version with
pure Java implementation from gcj
* gnu/classpath/math: new directory
* gnu/classpath/math/MPN.java: new file from gcj, which came from Kawa,
and is included with permission from Per Bothner, the author.
* README: updated with current information about CVS and the
project
* THANKYOU: added Per Bothner
* TODO: updated with current information as I know it
* NEWS: updated with information about a 0.03 release
* HACKING: updated with new information
* INSTALL: updated with new information
* BUGS: added link to Savannah bug reporting page for the project
* ltconfig: removed due to upgrade of libtool to 1.4.2
* ltmain.sh: updated with libtool 1.4.2
* depcomp: new file from automake 1.5 upgrade
* configure.in: added to OUTPUT native/fdlibm/Makefile,
native/jni/java-io/Makefile, native/jni/java-lang/Makefile,
native/jni/java-net/Makefile, native/jni/java-util/Makefile,
native/jni/gtk-peer/Makefile
* install.sh: updated
* missing: updated
* mkinstalldirs: updated
* native/lib/Makefile.am: INCLUDES += changed to just INCLUDES = to
avoid automake warning
* native/lib/jcl.h: removed TRUE/FALSE #defines, added DBG
* native/nsa/: removed, files native_state.* moved to native/lib
* native/lib: renamed native/jni/classpath
* native/cni/Makefile.am: new file
* native/cni/.cvsignore: new file
* native/jni/gtk-peer/Makefile.am: LIBADD used to get native_state from
a common location
* native/jni/java-io/Makefile.am: LIBADD used to get jcl from a
common location, source modified to use relevant JCL_* functions
* native/jni/java-lang/Makefile.am: LIBADD used to get jcl from a
common location
* native/jni/java-net/Makefile.am: LIBADD used to get jcl from a common
location, source modified to use relevant JCL_* functions
* vm/reference/java/lang/Thread.java (Thread): wrongly marked private
constructor Thread (ThreadGroup, String) now public
* native/jni/java-util/java_util_ResourceBundle.c: removed file
* native/jni/java-util/Makefile.am: removed java_util_ResourceBundle.c
from library
Diffstat (limited to 'native/fdlibm/k_tan.c')
-rw-r--r-- | native/fdlibm/k_tan.c | 132 |
1 files changed, 132 insertions, 0 deletions
diff --git a/native/fdlibm/k_tan.c b/native/fdlibm/k_tan.c new file mode 100644 index 000000000..a1067a70a --- /dev/null +++ b/native/fdlibm/k_tan.c @@ -0,0 +1,132 @@ + +/* @(#)k_tan.c 5.1 93/09/24 */ +/* + * ==================================================== + * 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. + * ==================================================== + */ + +/* __kernel_tan( x, y, k ) + * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * Input k indicates whether tan (if k=1) or + * -1/tan (if k= -1) is returned. + * + * Algorithm + * 1. Since tan(-x) = -tan(x), we need only to consider positive x. + * 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0. + * 3. tan(x) is approximated by a odd polynomial of degree 27 on + * [0,0.67434] + * 3 27 + * tan(x) ~ x + T1*x + ... + T13*x + * where + * + * |tan(x) 2 4 26 | -59.2 + * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 + * | x | + * + * Note: tan(x+y) = tan(x) + tan'(x)*y + * ~ tan(x) + (1+x*x)*y + * Therefore, for better accuracy in computing tan(x+y), let + * 3 2 2 2 2 + * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) + * then + * 3 2 + * tan(x+y) = x + (T1*x + (x *(r+y)+y)) + * + * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then + * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) + * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) + */ + +#include "fdlibm.h" + +#ifndef _DOUBLE_IS_32BITS + +#ifdef __STDC__ +static const double +#else +static double +#endif +one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ +pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ +pio4lo= 3.06161699786838301793e-17, /* 0x3C81A626, 0x33145C07 */ +T[] = { + 3.33333333333334091986e-01, /* 0x3FD55555, 0x55555563 */ + 1.33333333333201242699e-01, /* 0x3FC11111, 0x1110FE7A */ + 5.39682539762260521377e-02, /* 0x3FABA1BA, 0x1BB341FE */ + 2.18694882948595424599e-02, /* 0x3F9664F4, 0x8406D637 */ + 8.86323982359930005737e-03, /* 0x3F8226E3, 0xE96E8493 */ + 3.59207910759131235356e-03, /* 0x3F6D6D22, 0xC9560328 */ + 1.45620945432529025516e-03, /* 0x3F57DBC8, 0xFEE08315 */ + 5.88041240820264096874e-04, /* 0x3F4344D8, 0xF2F26501 */ + 2.46463134818469906812e-04, /* 0x3F3026F7, 0x1A8D1068 */ + 7.81794442939557092300e-05, /* 0x3F147E88, 0xA03792A6 */ + 7.14072491382608190305e-05, /* 0x3F12B80F, 0x32F0A7E9 */ + -1.85586374855275456654e-05, /* 0xBEF375CB, 0xDB605373 */ + 2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */ +}; + +#ifdef __STDC__ + double __kernel_tan(double x, double y, int iy) +#else + double __kernel_tan(x, y, iy) + double x,y; int iy; +#endif +{ + double z,r,v,w,s; + int32_t ix,hx; + GET_HIGH_WORD(hx,x); + ix = hx&0x7fffffff; /* high word of |x| */ + if(ix<0x3e300000) /* x < 2**-28 */ + {if((int)x==0) { /* generate inexact */ + uint32_t low; + GET_LOW_WORD(low,x); + if(((ix|low)|(iy+1))==0) return one/fabs(x); + else return (iy==1)? x: -one/x; + } + } + if(ix>=0x3FE59428) { /* |x|>=0.6744 */ + if(hx<0) {x = -x; y = -y;} + z = pio4-x; + w = pio4lo-y; + x = z+w; y = 0.0; + } + z = x*x; + w = z*z; + /* Break x^5*(T[1]+x^2*T[2]+...) into + * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + + * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) + */ + r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11])))); + v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12]))))); + s = z*x; + r = y + z*(s*(r+v)+y); + r += T[0]*s; + w = x+r; + if(ix>=0x3FE59428) { + v = (double)iy; + return (double)(1-((hx>>30)&2))*(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 */ + double a,t; + z = w; + SET_LOW_WORD(z,0); + v = r-(z - x); /* z+v = r+x */ + t = a = -1.0/w; /* a = -1.0/w */ + SET_LOW_WORD(t,0); + s = 1.0+t*z; + return t+a*(s+t*v); + } +} + +#endif /* defined(_DOUBLE_IS_32BITS) */ |