diff --git a/library/GNUmakefile.68k b/library/GNUmakefile.68k index 51eb213..dcf3160 100644 --- a/library/GNUmakefile.68k +++ b/library/GNUmakefile.68k @@ -1,5 +1,5 @@ # -# $Id: GNUmakefile.68k,v 1.56 2005-05-29 14:45:28 obarthel Exp $ +# $Id: GNUmakefile.68k,v 1.57 2005-05-30 08:10:36 obarthel Exp $ # # :ts=8 # @@ -519,6 +519,9 @@ MATH_LIB = \ complex_creal.o \ complex_crealf.o \ complex_creall.o \ + math_coshf.o \ + math_sinhf.o \ + math_tanhf.o \ math_acos.o \ math_acosf.o \ math_asin.o \ @@ -534,6 +537,7 @@ MATH_LIB = \ math_copysign.o \ math_copysignf.o \ math_cos.o \ + math_cosf.o \ math_cosh.o \ math_erf.o \ math_erfc.o \ @@ -555,6 +559,7 @@ MATH_LIB = \ math_huge_val.o \ math_huge_valf.o \ math_hypot.o \ + math_hypotf.o \ math_ilogb.o \ math_ilogbf.o \ math_inf.o \ @@ -562,6 +567,9 @@ MATH_LIB = \ math_init_exit.o \ math_isfinite.o \ math_isunordered.o \ + math_kernel_cosf.o \ + math_kernel_sinf.o \ + math_kernel_tanf.o \ math_ldexp.o \ math_ldexpf.o \ math_log.o \ @@ -580,16 +588,19 @@ MATH_LIB = \ math_nextafterf.o \ math_pow.o \ math_powf.o \ + math_rem_pio2f.o \ math_rint.o \ math_rintf.o \ math_scalbn.o \ math_scalbnf.o \ math_signbit.o \ math_sin.o \ + math_sinf.o \ math_sinh.o \ math_sqrt.o \ math_sqrtf.o \ math_tan.o \ + math_tanf.o \ math_tanh.o \ stdio_asprintf.o \ stdio_flush.o \ diff --git a/library/GNUmakefile.os4 b/library/GNUmakefile.os4 index df34c58..d0773c4 100644 --- a/library/GNUmakefile.os4 +++ b/library/GNUmakefile.os4 @@ -1,5 +1,5 @@ # -# $Id: GNUmakefile.os4,v 1.60 2005-05-29 14:45:29 obarthel Exp $ +# $Id: GNUmakefile.os4,v 1.61 2005-05-30 08:10:37 obarthel Exp $ # # :ts=8 # @@ -519,6 +519,9 @@ MATH_LIB = \ complex_creal.o \ complex_crealf.o \ complex_creall.o \ + math_coshf.o \ + math_sinhf.o \ + math_tanhf.o \ math_acos.o \ math_acosf.o \ math_asin.o \ @@ -534,6 +537,7 @@ MATH_LIB = \ math_copysign.o \ math_copysignf.o \ math_cos.o \ + math_cosf.o \ math_cosh.o \ math_erf.o \ math_erfc.o \ @@ -555,6 +559,7 @@ MATH_LIB = \ math_huge_val.o \ math_huge_valf.o \ math_hypot.o \ + math_hypotf.o \ math_ilogb.o \ math_ilogbf.o \ math_inf.o \ @@ -563,11 +568,14 @@ MATH_LIB = \ math_isfinite.o \ math_isunordered.o \ math_kernel_cos.o \ + math_kernel_cosf.o \ math_kernel_expm1.o \ math_kernel_rem_pio2.o \ math_kernel_scalbn.o \ math_kernel_sin.o \ + math_kernel_sinf.o \ math_kernel_tan.o \ + math_kernel_tanf.o \ math_ldexp.o \ math_ldexpf.o \ math_log.o \ @@ -586,16 +594,19 @@ MATH_LIB = \ math_nextafterf.o \ math_pow.o \ math_powf.o \ + math_rem_pio2f.o \ math_rint.o \ math_rintf.o \ math_scalbn.o \ math_scalbnf.o \ math_signbit.o \ math_sin.o \ + math_sinf.o \ math_sinh.o \ math_sqrt.o \ math_sqrtf.o \ math_tan.o \ + math_tanf.o \ math_tanh.o \ stdio_asprintf.o \ stdio_flush.o \ diff --git a/library/TODO b/library/TODO index 4b9ef4a..7ac4ea8 100755 --- a/library/TODO +++ b/library/TODO @@ -1,11 +1,5 @@ C99 math functions: - ("float"-versions of existing "double" functions) - cosf - hypotf - sinf - tanf - (functions generally missing, including their "float" counterparts) acosh acoshf @@ -33,10 +27,6 @@ C99 math functions: remquof round roundf - sinh - sinhf - tanh - tanhf tgamma tgammaf trunc diff --git a/library/changes b/library/changes index 787f4e3..fd7e0c4 100644 --- a/library/changes +++ b/library/changes @@ -70,6 +70,8 @@ - Ported cbrt(), cbrtf(), erf(), erff(), erfc(), erfcf(), expm1(), expm1f(), ilogb(), ilogbf(), log1p() and log1pf() for C99. +- Ported cosf(), coshf(), sinf(), sinhf(), tanf(), tanhf() + and hypotf() for C99. c.lib 1.192 (12.5.2005) diff --git a/library/include/math.h b/library/include/math.h index 3293c8a..d8c6b68 100644 --- a/library/include/math.h +++ b/library/include/math.h @@ -1,5 +1,5 @@ /* - * $Id: math.h,v 1.13 2005-05-29 14:45:33 obarthel Exp $ + * $Id: math.h,v 1.14 2005-05-30 08:10:41 obarthel Exp $ * * :ts=4 * @@ -101,13 +101,6 @@ extern double tanh(double x); /****************************************************************************/ -extern double rint(double x); -extern float rintf(float x); -extern double logb(double x); -extern double hypot(double x,double y); - -/****************************************************************************/ - /* The following is not part of the ISO 'C' (1994) standard, but it should be part of ISO/IEC 9899:1999, also known as "C99". */ @@ -229,86 +222,74 @@ extern float asinf(float x); extern float atanf(float x); extern float atan2f(float y, float x); extern float ceilf(float x); - - +extern float cosf(float x); +extern float coshf(float x); extern float expf(float x); extern float fabsf(float x); extern float floorf(float x); extern float fmodf(float x, float y); extern float frexpf(float x, int *eptr); -extern float ldexp(float x,int exp); +extern float ldexpf(float x,int exp); extern float logf(float x); extern float log10f(float x); -extern float logbf(float x); extern float modff(float x, float *iptr); extern float powf(float x, float y); +extern float sinf(float x); +extern float sinhf(float x); extern float sqrtf(float x); +extern float tanf(float x); +extern float tanhf(float x); /****************************************************************************/ +extern float logbf(float x); +extern double logb(double x); + +extern float hypotf(float x, float y); +extern double hypot(double x,double y); + extern float nanf(const char *tagp); extern double nan(const char *tagp); -/****************************************************************************/ - extern float nextafterf(float x,float y); extern double nextafter(double x,double y); -/****************************************************************************/ - extern float copysignf(float x, float y); extern double copysign(double x, double y); -/****************************************************************************/ - extern float fdimf(float x,float y); extern double fdim(double x,double y); -/****************************************************************************/ - extern float fminf(float x,float y); extern double fmin(double x,double y); -/****************************************************************************/ - extern float fmaxf(float x,float y); extern double fmax(double x,double y); -/****************************************************************************/ - extern float scalbnf (float x, int n); extern double scalbn (double x, int n); -/****************************************************************************/ - extern float cbrtf(float x); extern double cbrt(double x); -/****************************************************************************/ - extern float erff(float x); extern double erf(double x); -/****************************************************************************/ - extern float erfcf(float x); extern double erfc(double x); -/****************************************************************************/ - extern float expm1f(float x); extern double expm1(double x); -/****************************************************************************/ - extern int ilogbf(float x); extern int ilogb(double x); -/****************************************************************************/ - extern float log1pf(float x); extern double log1p(double x); +extern float rintf(float x); +extern double rint(double x); + /****************************************************************************/ #define FLT_EVAL_METHOD 0 diff --git a/library/math_atan2f.c b/library/math_atan2f.c index d21d201..2401529 100644 --- a/library/math_atan2f.c +++ b/library/math_atan2f.c @@ -1,5 +1,5 @@ /* - * $Id: math_atan2f.c,v 1.2 2005-05-29 14:45:29 obarthel Exp $ + * $Id: math_atan2f.c,v 1.3 2005-05-30 08:10:37 obarthel Exp $ * * :ts=4 * @@ -125,7 +125,7 @@ atan2f(float y, float x) switch (m) { case 0: return z ; /* atan(+,+) */ case 1: { - __uint32_t zh; + ULONG zh; GET_FLOAT_WORD(zh,z); SET_FLOAT_WORD(z,zh ^ 0x80000000U); } diff --git a/library/math_cosf.c b/library/math_cosf.c index a6e993d..6b14a81 100644 --- a/library/math_cosf.c +++ b/library/math_cosf.c @@ -1,5 +1,5 @@ /* - * $Id: math_cosf.c,v 1.1 2005-05-29 11:19:00 obarthel Exp $ + * $Id: math_cosf.c,v 1.2 2005-05-30 08:10:37 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -41,11 +53,34 @@ /****************************************************************************/ +static const float one=1.0; + float cosf(float x) { - /* ZZZ unimplemented */ - return(0); + float y[2],z=0.0; + LONG n,ix; + + GET_FLOAT_WORD(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffff; + if(ix <= 0x3f490fd8) return __kernel_cosf(x,z); + + /* cos(Inf or NaN) is NaN */ + else if (ix>=0x7f800000) return x-x; + + /* argument reduction needed */ + else { + n = __rem_pio2f(x,y); + switch(n&3) { + case 0: return __kernel_cosf(y[0],y[1]); + case 1: return -__kernel_sinf(y[0],y[1],1); + case 2: return -__kernel_cosf(y[0],y[1]); + default: + return __kernel_sinf(y[0],y[1],1); + } + } } /****************************************************************************/ diff --git a/library/math_coshf.c b/library/math_coshf.c index 402e6c6..8c8bc62 100644 --- a/library/math_coshf.c +++ b/library/math_coshf.c @@ -1,5 +1,5 @@ /* - * $Id: math_coshf.c,v 1.1 2005-05-29 11:19:00 obarthel Exp $ + * $Id: math_coshf.c,v 1.2 2005-05-30 08:10:37 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -41,11 +53,46 @@ /****************************************************************************/ +static const float one = 1.0, half=0.5, huge = 1.0e30; + float coshf(float x) { - /* ZZZ unimplemented */ - return(0); + float t,w; + LONG ix; + + GET_FLOAT_WORD(ix,x); + ix &= 0x7fffffff; + + /* x is INF or NaN */ + if(ix>=0x7f800000) return x*x; + + /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ + if(ix<0x3eb17218) { + t = expm1f(fabsf(x)); + w = one+t; + if (ix<0x24000000) return w; /* cosh(tiny) = 1 */ + return one+(t*t)/(w+w); + } + + /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ + if (ix < 0x41b00000) { + t = expf(fabsf(x)); + return half*t+half/t; + } + + /* |x| in [22, log(maxdouble)] return half*exp(|x|) */ + if (ix < 0x42b17180) return half*expf(fabsf(x)); + + /* |x| in [log(maxdouble), overflowthresold] */ + if (ix<=0x42b2d4fc) { + w = expf(half*fabsf(x)); + t = half*w; + return t*w; + } + + /* |x| > overflowthresold, cosh(x) overflow */ + return huge*huge; } /****************************************************************************/ diff --git a/library/math_erf.c b/library/math_erf.c index bf2f2c8..99115d8 100644 --- a/library/math_erf.c +++ b/library/math_erf.c @@ -1,5 +1,5 @@ /* - * $Id: math_erf.c,v 1.2 2005-05-29 14:45:29 obarthel Exp $ + * $Id: math_erf.c,v 1.3 2005-05-30 08:10:37 obarthel Exp $ * * :ts=4 * @@ -133,7 +133,7 @@ erf(double x) GET_HIGH_WORD(hx,x); ix = hx&0x7fffffff; if(ix>=0x7ff00000) { /* erf(nan)=nan */ - i = ((__uint32_t)hx>>31)<<1; + i = ((ULONG)hx>>31)<<1; return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */ } diff --git a/library/math_headers.h b/library/math_headers.h index 8c7bad0..a81ca7f 100644 --- a/library/math_headers.h +++ b/library/math_headers.h @@ -1,5 +1,5 @@ /* - * $Id: math_headers.h,v 1.10 2005-05-12 13:21:43 obarthel Exp $ + * $Id: math_headers.h,v 1.11 2005-05-30 08:10:37 obarthel Exp $ * * :ts=4 * @@ -210,16 +210,16 @@ do { \ (d) = sf_u.value; \ } while (0) -#if defined(PPC_FLOATING_POINT_SUPPORT) - extern double __kernel_cos(double x, double y); extern double __kernel_sin(double x, double y, int iy); extern int __rem_pio2(double x, double *y); extern double __kernel_tan(double x, double y, int iy); extern double __expm1(double x); extern double __scalbn(double x, int n); - -#endif /* PPC_FLOATING_POINT_SUPPORT */ +extern float __kernel_cosf(float x, float y); +extern float __kernel_sinf(float x, float y, int iy); +extern LONG __rem_pio2f(float x, float *y); +extern float __kernel_tanf(float x, float y, int iy); /****************************************************************************/ diff --git a/library/math_hypotf.c b/library/math_hypotf.c index 47b4e1c..a2120b2 100644 --- a/library/math_hypotf.c +++ b/library/math_hypotf.c @@ -1,5 +1,5 @@ /* - * $Id: math_hypotf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $ + * $Id: math_hypotf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -41,11 +53,42 @@ /****************************************************************************/ +#define SQRT_FLT_MAX 1.84467429742e+19 /* 0x5f7fffff */ + float -hypotf(float x,float y) +hypotf(float x, float y) { - /* ZZZ unimplemented */ - return(0); + float a=x,b=y,t1,t2,w; + LONG j,ha,hb; + + if (isunordered(x,y)) + return (x-x)/(y-y); + if (!isfinite(x) || !isfinite(y)) { + __set_errno(ERANGE); + return __get_huge_valf(); + } + + GET_FLOAT_WORD(ha,x); + ha &= 0x7fffffff; + GET_FLOAT_WORD(hb,y); + hb &= 0x7fffffff; + if(hb < ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} + SET_FLOAT_WORD(a,ha); /* a <- |a| */ + SET_FLOAT_WORD(b,hb); /* b <- |b| */ + t1 = (a > 0) ? (a/b) : 0; + if ((t1 >= SQRT_FLT_MAX) && isfinite(x) && isfinite(y)) { + __set_errno(ERANGE); + return __get_huge_valf(); + } + t1 *= t1; + t2 = sqrtf(++t1); + if ((t2 > 1) && (b >= FLT_MAX)) { + __set_errno(ERANGE); + return __get_huge_valf(); + } + w = t2 * b; + + return w; } /****************************************************************************/ diff --git a/library/math_kernel_cosf.c b/library/math_kernel_cosf.c new file mode 100644 index 0000000..e7db32f --- /dev/null +++ b/library/math_kernel_cosf.c @@ -0,0 +1,94 @@ +/* + * $Id: math_kernel_cosf.c,v 1.1 2005-05-30 08:10:38 obarthel Exp $ + * + * :ts=4 + * + * Portable ISO 'C' (1994) runtime library for the Amiga computer + * Copyright (c) 2002-2005 by Olaf Barthel + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * - Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * - Neither the name of Olaf Barthel nor the names of contributors + * may be used to endorse or promote products derived from this + * software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + */ + +#ifndef _MATH_HEADERS_H +#include "math_headers.h" +#endif /* _MATH_HEADERS_H */ + +/****************************************************************************/ + +#if defined(FLOATING_POINT_SUPPORT) + +/****************************************************************************/ + +static const float +one = 1.0000000000e+00, /* 0x3f800000 */ +C1 = 4.1666667908e-02, /* 0x3d2aaaab */ +C2 = -1.3888889225e-03, /* 0xbab60b61 */ +C3 = 2.4801587642e-05, /* 0x37d00d01 */ +C4 = -2.7557314297e-07, /* 0xb493f27c */ +C5 = 2.0875723372e-09, /* 0x310f74f6 */ +C6 = -1.1359647598e-11; /* 0xad47d74e */ + +float +__kernel_cosf(float x, float y) +{ + volatile float hz; /* prevent optimizing out of existence */ + float a,z,r,qx; + LONG ix; + GET_FLOAT_WORD(ix,x); + ix &= 0x7fffffff; /* ix = |x|'s high word*/ + if(ix<0x32000000) { /* if x < 2**27 */ + if(((int)x)==0) return one; /* generate inexact */ + } + z = x*x; + r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6))))); + if(ix < 0x3e99999a) /* if |x| < 0.3 */ + return one - ((float)0.5*z - (z*r - x*y)); + else { + if(ix > 0x3f480000) { /* x > 0.78125 */ + qx = (float)0.28125; + } else { + SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */ + } + hz = (float)0.5*z-qx; + a = one-qx; + return a - (hz - (z*r-x*y)); + } +} + +/****************************************************************************/ + +#endif /* FLOATING_POINT_SUPPORT */ diff --git a/library/math_kernel_sinf.c b/library/math_kernel_sinf.c new file mode 100644 index 0000000..893463c --- /dev/null +++ b/library/math_kernel_sinf.c @@ -0,0 +1,83 @@ +/* + * $Id: math_kernel_sinf.c,v 1.1 2005-05-30 08:10:38 obarthel Exp $ + * + * :ts=4 + * + * Portable ISO 'C' (1994) runtime library for the Amiga computer + * Copyright (c) 2002-2005 by Olaf Barthel + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * - Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * - Neither the name of Olaf Barthel nor the names of contributors + * may be used to endorse or promote products derived from this + * software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + */ + +#ifndef _MATH_HEADERS_H +#include "math_headers.h" +#endif /* _MATH_HEADERS_H */ + +/****************************************************************************/ + +#if defined(FLOATING_POINT_SUPPORT) + +/****************************************************************************/ + +static const float +half = 5.0000000000e-01,/* 0x3f000000 */ +S1 = -1.6666667163e-01, /* 0xbe2aaaab */ +S2 = 8.3333337680e-03, /* 0x3c088889 */ +S3 = -1.9841270114e-04, /* 0xb9500d01 */ +S4 = 2.7557314297e-06, /* 0x3638ef1b */ +S5 = -2.5050759689e-08, /* 0xb2d72f34 */ +S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */ + +float +__kernel_sinf(float x, float y, int iy) +{ + float z,r,v; + LONG ix; + GET_FLOAT_WORD(ix,x); + ix &= 0x7fffffff; /* high word of x */ + if(ix<0x32000000) /* |x| < 2**-27 */ + {if((int)x==0) return x;} /* generate inexact */ + z = x*x; + v = z*x; + r = S2+z*(S3+z*(S4+z*(S5+z*S6))); + if(iy==0) return x+v*(S1+z*r); + else return x-((z*(half*y-v*r)-y)-v*S1); +} + +/****************************************************************************/ + +#endif /* FLOATING_POINT_SUPPORT */ diff --git a/library/math_kernel_tanf.c b/library/math_kernel_tanf.c new file mode 100644 index 0000000..4851b3a --- /dev/null +++ b/library/math_kernel_tanf.c @@ -0,0 +1,131 @@ +/* + * $Id: math_kernel_tanf.c,v 1.1 2005-05-30 08:10:38 obarthel Exp $ + * + * :ts=4 + * + * Portable ISO 'C' (1994) runtime library for the Amiga computer + * Copyright (c) 2002-2005 by Olaf Barthel + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * - Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * - Neither the name of Olaf Barthel nor the names of contributors + * may be used to endorse or promote products derived from this + * software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + */ + +#ifndef _MATH_HEADERS_H +#include "math_headers.h" +#endif /* _MATH_HEADERS_H */ + +/****************************************************************************/ + +#if defined(FLOATING_POINT_SUPPORT) + +/****************************************************************************/ + +static const float +one = 1.0000000000e+00, /* 0x3f800000 */ +pio4 = 7.8539812565e-01, /* 0x3f490fda */ +pio4lo= 3.7748947079e-08, /* 0x33222168 */ +T[] = { + 3.3333334327e-01, /* 0x3eaaaaab */ + 1.3333334029e-01, /* 0x3e088889 */ + 5.3968254477e-02, /* 0x3d5d0dd1 */ + 2.1869488060e-02, /* 0x3cb327a4 */ + 8.8632395491e-03, /* 0x3c11371f */ + 3.5920790397e-03, /* 0x3b6b6916 */ + 1.4562094584e-03, /* 0x3abede48 */ + 5.8804126456e-04, /* 0x3a1a26c8 */ + 2.4646313977e-04, /* 0x398137b9 */ + 7.8179444245e-05, /* 0x38a3f445 */ + 7.1407252108e-05, /* 0x3895c07a */ + -1.8558637748e-05, /* 0xb79bae5f */ + 2.5907305826e-05, /* 0x37d95384 */ +}; + +float +__kernel_tanf(float x, float y, int iy) +{ + float z,r,v,w,s; + LONG ix,hx; + GET_FLOAT_WORD(hx,x); + ix = hx&0x7fffffff; /* high word of |x| */ + if(ix<0x31800000) /* x < 2**-28 */ + {if((int)x==0) { /* generate inexact */ + if((ix|(iy+1))==0) return one/fabsf(x); + else return (iy==1)? x: -one/x; + } + } + if(ix>=0x3f2ca140) { /* |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>=0x3f2ca140) { + v = (float)iy; + return (float)(1-((hx>>30)&2))*(v-(float)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 */ + float a,t; + LONG i; + z = w; + GET_FLOAT_WORD(i,z); + SET_FLOAT_WORD(z,i&0xfffff000U); + v = r-(z - x); /* z+v = r+x */ + t = a = -(float)1.0/w; /* a = -1.0/w */ + GET_FLOAT_WORD(i,t); + SET_FLOAT_WORD(t,i&0xfffff000U); + s = (float)1.0+t*z; + return t+a*(s+t*v); + } +} + +/****************************************************************************/ + +#endif /* FLOATING_POINT_SUPPORT */ diff --git a/library/math_rem_pio2f.c b/library/math_rem_pio2f.c new file mode 100755 index 0000000..af649f4 --- /dev/null +++ b/library/math_rem_pio2f.c @@ -0,0 +1,389 @@ +/* + * $Id: math_rem_pio2f.c,v 1.1 2005-05-30 08:10:38 obarthel Exp $ + * + * :ts=4 + * + * Portable ISO 'C' (1994) runtime library for the Amiga computer + * Copyright (c) 2002-2005 by Olaf Barthel + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * - Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * - Neither the name of Olaf Barthel nor the names of contributors + * may be used to endorse or promote products derived from this + * software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 COPYRIGHT OWNER 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + */ + +#ifndef _MATH_HEADERS_H +#include "math_headers.h" +#endif /* _MATH_HEADERS_H */ + +/****************************************************************************/ + +#if defined(FLOATING_POINT_SUPPORT) + +/****************************************************************************/ + +/* In the float version, the input parameter x contains 8 bit + integers, not 24 bit integers. 113 bit precision is not supported. */ + +static const int init_jk[] = {4,7,9}; /* initial value for jk */ + +static const float PIo2[] = { + 1.5703125000e+00, /* 0x3fc90000 */ + 4.5776367188e-04, /* 0x39f00000 */ + 2.5987625122e-05, /* 0x37da0000 */ + 7.5437128544e-08, /* 0x33a20000 */ + 6.0026650317e-11, /* 0x2e840000 */ + 7.3896444519e-13, /* 0x2b500000 */ + 5.3845816694e-15, /* 0x27c20000 */ + 5.6378512969e-18, /* 0x22d00000 */ + 8.3009228831e-20, /* 0x1fc40000 */ + 3.2756352257e-22, /* 0x1bc60000 */ + 6.3331015649e-25, /* 0x17440000 */ +}; + +static const float +zero = 0.0, +one = 1.0, +two8 = 2.5600000000e+02, /* 0x43800000 */ +twon8 = 3.9062500000e-03; /* 0x3b800000 */ + +static int +__kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const LONG *ipio2) +{ + LONG jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih; + float z,fw,f[20],fq[20],q[20]; + + /* initialize jk*/ + jk = init_jk[prec]; + jp = jk; + + /* determine jx,jv,q0, note that 3>q0 */ + jx = nx-1; + jv = (e0-3)/8; if(jv<0) jv=0; + q0 = e0-8*(jv+1); + + /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ + j = jv-jx; m = jx+jk; + for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j]; + + /* compute q[0],q[1],...q[jk] */ + for (i=0;i<=jk;i++) { + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw; + } + + jz = jk; +recompute: + /* distill q[] into iq[] reversingly */ + for(i=0,j=jz,z=q[jz];j>0;i++,j--) { + fw = (float)((LONG)(twon8* z)); + iq[i] = (LONG)(z-two8*fw); + z = q[j-1]+fw; + } + + /* compute n */ + z = scalbnf(z,(int)q0); /* actual value of z */ + z -= (float)8.0*floorf(z*(float)0.125); /* trim off integer >= 8 */ + n = (LONG) z; + z -= (float)n; + ih = 0; + if(q0>0) { /* need iq[jz-1] to determine n */ + i = (iq[jz-1]>>(8-q0)); n += i; + iq[jz-1] -= i<<(8-q0); + ih = iq[jz-1]>>(7-q0); + } + else if(q0==0) ih = iq[jz-1]>>8; + else if(z>=(float)0.5) ih=2; + + if(ih>0) { /* q > 0.5 */ + n += 1; carry = 0; + for(i=0;i0) { /* rare case: chance is 1 in 12 */ + switch(q0) { + case 1: + iq[jz-1] &= 0x7f; break; + case 2: + iq[jz-1] &= 0x3f; break; + } + } + if(ih==2) { + z = one - z; + if(carry!=0) z -= scalbnf(one,(int)q0); + } + } + + /* check if recomputation is needed */ + if(z==zero) { + j = 0; + for (i=jz-1;i>=jk;i--) j |= iq[i]; + if(j==0) { /* need recomputation */ + for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */ + + for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */ + f[jx+i] = (float) ipio2[jv+i]; + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; + q[i] = fw; + } + jz += k; + goto recompute; + } + } + + /* chop off zero terms */ + if(z==(float)0.0) { + jz -= 1; q0 -= 8; + while(iq[jz]==0) { jz--; q0-=8;} + } else { /* break z into 8-bit if necessary */ + z = scalbnf(z,-(int)q0); + if(z>=two8) { + fw = (float)((LONG)(twon8*z)); + iq[jz] = (LONG)(z-two8*fw); + jz += 1; q0 += 8; + iq[jz] = (LONG) fw; + } else iq[jz] = (LONG) z ; + } + + /* convert integer "bit" chunk to floating-point value */ + fw = scalbnf(one,(int)q0); + for(i=jz;i>=0;i--) { + q[i] = fw*(float)iq[i]; fw*=twon8; + } + + /* compute PIo2[0,...,jp]*q[jz,...,0] */ + for(i=jz;i>=0;i--) { + for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k]; + fq[jz-i] = fw; + } + + /* compress fq[] into y[] */ + switch(prec) { + case 0: + fw = 0.0; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; + break; + case 1: + case 2: + fw = 0.0; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; + fw = fq[0]-fw; + for (i=1;i<=jz;i++) fw += fq[i]; + y[1] = (ih==0)? fw: -fw; + break; + case 3: /* painful */ + for (i=jz;i>0;i--) { + fw = fq[i-1]+fq[i]; + fq[i] += fq[i-1]-fw; + fq[i-1] = fw; + } + for (i=jz;i>1;i--) { + fw = fq[i-1]+fq[i]; + fq[i] += fq[i-1]-fw; + fq[i-1] = fw; + } + for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; + if(ih==0) { + y[0] = fq[0]; y[1] = fq[1]; y[2] = fw; + } else { + y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw; + } + } + return n&7; +} + +/****************************************************************************/ + +/* + * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi + */ +static const LONG two_over_pi[] = { +0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC, +0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62, +0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63, +0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A, +0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09, +0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29, +0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44, +0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41, +0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C, +0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8, +0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11, +0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF, +0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E, +0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5, +0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92, +0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08, +0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0, +0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3, +0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85, +0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80, +0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA, +0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B, +}; + +/* This array is like the one in e_rem_pio2.c, but the numbers are + single precision and the last 8 bits are forced to 0. */ +static const LONG npio2_hw[] = { +0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00, +0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00, +0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100, +0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00, +0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00, +0x4242c700, 0x42490f00 +}; + +/* + * invpio2: 24 bits of 2/pi + * pio2_1: first 17 bit of pi/2 + * pio2_1t: pi/2 - pio2_1 + * pio2_2: second 17 bit of pi/2 + * pio2_2t: pi/2 - (pio2_1+pio2_2) + * pio2_3: third 17 bit of pi/2 + * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) + */ + +static const float +half = 5.0000000000e-01, /* 0x3f000000 */ +invpio2 = 6.3661980629e-01, /* 0x3f22f984 */ +pio2_1 = 1.5707855225e+00, /* 0x3fc90f80 */ +pio2_1t = 1.0804334124e-05, /* 0x37354443 */ +pio2_2 = 1.0804273188e-05, /* 0x37354400 */ +pio2_2t = 6.0770999344e-11, /* 0x2e85a308 */ +pio2_3 = 6.0770943833e-11, /* 0x2e85a300 */ +pio2_3t = 6.1232342629e-17; /* 0x248d3132 */ + +LONG +__rem_pio2f(float x, float *y) +{ + volatile float z,r; /* prevent optimizing out of existence */ + float w,t,fn; + float tx[3]; + LONG i,j,n,ix,hx; + int e0,nx; + + GET_FLOAT_WORD(hx,x); + ix = hx&0x7fffffff; + if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */ + {y[0] = x; y[1] = 0; return 0;} + if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */ + if(hx>0) { + z = x - pio2_1; + if((ix&0xfffffff0U)!=0x3fc90fd0) { /* 24+24 bit pi OK */ + y[0] = z - pio2_1t; + y[1] = (z-y[0])-pio2_1t; + } else { /* near pi/2, use 24+24+24 bit pi */ + z -= pio2_2; + y[0] = z - pio2_2t; + y[1] = (z-y[0])-pio2_2t; + } + return 1; + } else { /* negative x */ + z = x + pio2_1; + if((ix&0xfffffff0U)!=0x3fc90fd0) { /* 24+24 bit pi OK */ + y[0] = z + pio2_1t; + y[1] = (z-y[0])+pio2_1t; + } else { /* near pi/2, use 24+24+24 bit pi */ + z += pio2_2; + y[0] = z + pio2_2t; + y[1] = (z-y[0])+pio2_2t; + } + return -1; + } + } + if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */ + t = fabsf(x); + n = (LONG) (t*invpio2+half); + fn = (float)n; + r = t-fn*pio2_1; + w = fn*pio2_1t; /* 1st round good to 40 bit */ + if(n<32&&((LONG)(ix&0xffffff00U))!=npio2_hw[n-1]) { + y[0] = r-w; /* quick check no cancellation */ + } else { + ULONG high; + j = ix>>23; + y[0] = r-w; + GET_FLOAT_WORD(high,y[0]); + i = j-((high>>23)&0xff); + if(i>8) { /* 2nd iteration needed, good to 57 */ + t = r; + w = fn*pio2_2; + r = t-w; + w = fn*pio2_2t-((t-r)-w); + y[0] = r-w; + GET_FLOAT_WORD(high,y[0]); + i = j-((high>>23)&0xff); + if(i>25) { /* 3rd iteration need, 74 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; + if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;} + else return n; + } + /* + * all other (large) arguments + */ + if(ix>=0x7f800000) { /* x is inf or NaN */ + y[0]=y[1]=x-x; return 0; + } + /* set z = scalbn(|x|,ilogb(x)-7) */ + e0 = (int)((ix>>23)-134); /* e0 = ilogb(z)-7; */ + SET_FLOAT_WORD(z, ix - ((LONG)e0<<23)); + for(i=0;i<2;i++) { + tx[i] = (float)((LONG)(z)); + z = (z-tx[i])*two8; + } + tx[2] = z; + nx = 3; + while(tx[nx-1]==zero) nx--; /* skip zero term */ + n = __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi); + if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;} + return n; +} + +/****************************************************************************/ + +#endif /* FLOATING_POINT_SUPPORT */ diff --git a/library/math_sinf.c b/library/math_sinf.c index 5924ffb..72207b3 100644 --- a/library/math_sinf.c +++ b/library/math_sinf.c @@ -1,5 +1,5 @@ /* - * $Id: math_sinf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $ + * $Id: math_sinf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -44,8 +56,29 @@ float sinf(float x) { - /* ZZZ unimplemented */ - return(0); + float y[2],z=0.0; + LONG n,ix; + + GET_FLOAT_WORD(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffff; + if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0); + + /* sin(Inf or NaN) is NaN */ + else if (ix>=0x7f800000) return x-x; + + /* argument reduction needed */ + else { + n = __rem_pio2f(x,y); + switch(n&3) { + case 0: return __kernel_sinf(y[0],y[1],1); + case 1: return __kernel_cosf(y[0],y[1]); + case 2: return -__kernel_sinf(y[0],y[1],1); + default: + return -__kernel_cosf(y[0],y[1]); + } + } } /****************************************************************************/ diff --git a/library/math_sinhf.c b/library/math_sinhf.c index 3cc7735..05cc1f7 100644 --- a/library/math_sinhf.c +++ b/library/math_sinhf.c @@ -1,5 +1,5 @@ /* - * $Id: math_sinhf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $ + * $Id: math_sinhf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -41,11 +53,43 @@ /****************************************************************************/ +static const float one = 1.0, shuge = 1.0e37; + float sinhf(float x) -{ - /* ZZZ unimplemented */ - return(0); +{ + float t,w,h; + LONG ix,jx; + + GET_FLOAT_WORD(jx,x); + ix = jx&0x7fffffff; + + /* x is INF or NaN */ + if(ix>=0x7f800000) return x+x; + + h = 0.5; + if (jx<0) h = -h; + /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */ + if (ix < 0x41b00000) { /* |x|<22 */ + if (ix<0x31800000) /* |x|<2**-28 */ + if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ + t = expm1f(fabsf(x)); + if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one)); + return h*(t+t/(t+one)); + } + + /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */ + if (ix < 0x42b17180) return h*expf(fabsf(x)); + + /* |x| in [log(maxdouble), overflowthresold] */ + if (ix<=0x42b2d4fc) { + w = expf((float)0.5*fabsf(x)); + t = h*w; + return t*w; + } + + /* |x| > overflowthresold, sinh(x) overflow */ + return x*shuge; } /****************************************************************************/ diff --git a/library/math_tanf.c b/library/math_tanf.c index 6df1cab..92ede37 100644 --- a/library/math_tanf.c +++ b/library/math_tanf.c @@ -1,5 +1,5 @@ /* - * $Id: math_tanf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $ + * $Id: math_tanf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -44,8 +56,24 @@ float tanf(float x) { - /* ZZZ unimplemented */ - return(0); + float y[2],z=0.0; + LONG n,ix; + + GET_FLOAT_WORD(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffff; + if(ix <= 0x3f490fda) return __kernel_tanf(x,z,1); + + /* tan(Inf or NaN) is NaN */ + else if (ix>=0x7f800000) return x-x; /* NaN */ + + /* argument reduction needed */ + else { + n = __rem_pio2f(x,y); + return __kernel_tanf(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even + -1 -- n odd */ + } } /****************************************************************************/ diff --git a/library/math_tanhf.c b/library/math_tanhf.c index 1d9be09..f9b65a4 100644 --- a/library/math_tanhf.c +++ b/library/math_tanhf.c @@ -1,5 +1,5 @@ /* - * $Id: math_tanhf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $ + * $Id: math_tanhf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $ * * :ts=4 * @@ -29,6 +29,18 @@ * 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. + * + * + * PowerPC math library based in part on work by Sun Microsystems + * 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. + * + * + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H @@ -41,11 +53,39 @@ /****************************************************************************/ +static const float one=1.0, two=2.0, tiny = 1.0e-30; + float tanhf(float x) { - /* ZZZ unimplemented */ - return(0); + float t,z; + LONG jx,ix; + + GET_FLOAT_WORD(jx,x); + ix = jx&0x7fffffff; + + /* x is INF or NaN */ + if(ix>=0x7f800000) { + if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ + else return one/x-one; /* tanh(NaN) = NaN */ + } + + /* |x| < 22 */ + if (ix < 0x41b00000) { /* |x|<22 */ + if (ix<0x24000000) /* |x|<2**-55 */ + return x*(one+x); /* tanh(small) = small */ + if (ix>=0x3f800000) { /* |x|>=1 */ + t = expm1f(two*fabsf(x)); + z = one - two/(t+two); + } else { + t = expm1f(-two*fabsf(x)); + z= -t/(t+two); + } + /* |x| > 22, return +-1 */ + } else { + z = one - tiny; /* raised inexact flag */ + } + return (jx>=0)? z: -z; } /****************************************************************************/