| /programs/develop/libraries/menuetlibc/src/libm/Makefile |
|---|
| 0,0 → 1,62 |
| CFLAGS = -D_USE_LIBM_MATH_H |
| CSFLAGS = $(CFLAGS) |
| THIS_SRCS = e_acosh.c e_acos.s e_asin.s e_atan2.s e_atanh.c e_cosh.c e_exp.s \ |
| ef_acos.c ef_acosh.c ef_asin.c ef_atan2.s ef_atanh.c ef_cosh.c ef_exp.s \ |
| ef_fmod.s ef_gamma.c ef_hypot.c ef_j0.c ef_j1.c ef_jn.c ef_lgamm.c ef_log10.s \ |
| ef_log.s e_fmod.s ef_pow.c ef_remai.s ef_rem_p.c ef_scalb.s ef_sinh.c \ |
| ef_sqrt.s e_gamma.c e_hypot.c e_j0.c e_j1.c e_jn.c e_lgamma.c e_log10.s \ |
| e_log.s e_pow.c e_remain.s e_rem_pi.c erf_gamm.c erf_lgam.c er_gamma.c \ |
| er_lgamm.c e_scalb.s e_sinh.c e_sqrt.s k_cos.c kf_cos.c kf_rem_p.c kf_sin.c \ |
| kf_tan.c k_rem_pi.c k_sin.c k_standa.c k_tan.c s_asinh.c s_atan.s s_cbrt.c \ |
| s_ceil.s s_copysi.s s_cos.s s_erf.c s_expm1.s s_fabs.c sf_asinh.c sf_atan.s \ |
| sf_cbrt.c sf_ceil.s sf_copys.s sf_cos.s sf_erf.c sf_expm1.s sf_fabs.c \ |
| sf_finit.s sf_floor.s sf_frexp.c sf_ilogb.s s_finite.s sf_isinf.c sf_isnan.c \ |
| sf_ldexp.c sf_log1p.s sf_logb.s s_floor.s sf_modf.c sf_nexta.c s_frexp.c \ |
| sf_rint.s sf_scalb.s sf_signi.s sf_sin.s sf_tanh.c sf_tan.s s_ilogb.s s_infini.c \ |
| s_isinf.c s_isnan.c s_ldexp.c s_libver.c s_log1p.s s_logb.s s_mather.c \ |
| s_modf.c s_nextaf.c s_rint.s s_scalbn.s s_signga.c s_signif.s s_sin.s \ |
| s_tanh.c s_tan.s w_acos.c w_acosh.c w_asin.c w_atan2.c w_atanh.c \ |
| w_cabs.c w_cosh.c w_drem.c w_exp.c wf_acos.c wf_acosh.c wf_asin.c \ |
| wf_atan2.c wf_atanh.c wf_cabs.c wf_cosh.c wf_drem.c wf_exp.c wf_fmod.c \ |
| wf_gamma.c wf_hypot.c wf_j0.c wf_j1.c wf_jn.c wf_lgamm.c wf_log10.c wf_log.c \ |
| w_fmod.c wf_pow.c wf_remai.c wf_scalb.c wf_sinh.c wf_sqrt.c w_gamma.c w_hypot.c \ |
| w_j0.c w_j1.c w_jn.c w_lgamma.c w_log10.c w_log.c w_pow.c w_remain.c \ |
| wrf_gamm.c wrf_lgam.c wr_gamma.c wr_lgamm.c w_scalb.c w_sinh.c \ |
| w_sqrt.c |
| include $(MENUET_LIBC_TOPDIR)/Make.rules |
| mk_lib: gen_tmp all |
| make -f Makefile-link OUTFILE="libm.a" |
| ifdef ON_MINGW |
| copy libm.a $(MENUETDEV)\lib |
| del libm.a |
| else |
| mv -f libm.a $(MENUETDEV)/lib |
| endif |
| dll: _gen_tmp all |
| make -f Makefile-link-dll OUTFILE="libm.so" |
| ifdef ON_MINGW |
| copy libm.so $(MENUETDEV)\lib |
| del libm.so |
| else |
| mv -f libm.so $(MENUETDEV)/lib |
| endif |
| _gen_tmp: |
| ifdef ON_MINGW |
| @$(D_ECHO) > ..\tmp_make |
| else |
| @$(D_ECHO) > ../tmp_make |
| endif |
| gen_tmp: |
| ifdef ON_MINGW |
| @echo foo = bar> ../tmp_make |
| @..\m_echo ..\tmp_make B_MENUET_LIBC_OBJS = |
| else |
| @echo "foo = bar" > ../tmp_make |
| @../m_echo ../tmp_make B_MENUET_LIBC_OBJS = |
| endif |
| /programs/develop/libraries/menuetlibc/src/libm/Makefile-link |
|---|
| 0,0 → 1,4 |
| include ../tmp_make |
| all: |
| ar rcs $(OUTFILE) $(B_MENUET_LIBC_OBJS) |
| /programs/develop/libraries/menuetlibc/src/libm/Makefile-link-dll |
|---|
| 0,0 → 1,2 |
| all: |
| ld -r -d -Bdynamic -o $(OUTFILE) @../tmp_make |
| /programs/develop/libraries/menuetlibc/src/libm/e_acos.s |
|---|
| 0,0 → 1,12 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_acos) |
| fldl 4(%esp) |
| fst %st(1) |
| fmul %st(0) |
| fld1 |
| fsubp |
| fsqrt |
| fxch %st(1) |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_acosh.c |
|---|
| 0,0 → 1,70 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_acosh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_acosh.c,v 1.6 1994/08/18 23:04:54 jtc Exp $"; |
| #endif |
| /* __ieee754_acosh(x) |
| * Method : |
| * Based on |
| * acosh(x) = log [ x + sqrt(x*x-1) ] |
| * we have |
| * acosh(x) := log(x)+ln2, if x is large; else |
| * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else |
| * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. |
| * |
| * Special cases: |
| * acosh(x) is NaN with signal if x<1. |
| * acosh(NaN) is NaN without signal. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| one = 1.0, |
| ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ |
| #ifdef __STDC__ |
| double __ieee754_acosh(double x) |
| #else |
| double __ieee754_acosh(x) |
| double x; |
| #endif |
| { |
| double t; |
| int32_t hx; |
| u_int32_t lx; |
| EXTRACT_WORDS(hx,lx,x); |
| if(hx<0x3ff00000) { /* x < 1 */ |
| return (x-x)/(x-x); |
| } else if(hx >=0x41b00000) { /* x > 2**28 */ |
| if(hx >=0x7ff00000) { /* x is inf of NaN */ |
| return x+x; |
| } else |
| return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */ |
| } else if(((hx-0x3ff00000)|lx)==0) { |
| return 0.0; /* acosh(1) = 0 */ |
| } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ |
| t=x*x; |
| return __ieee754_log(2.0*x-one/(x+sqrt(t-one))); |
| } else { /* 1<x<2 */ |
| t = x-one; |
| return log1p(t+sqrt(2.0*t+t*t)); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_asin.s |
|---|
| 0,0 → 1,11 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_asin) |
| fldl 4(%esp) |
| fst %st(1) |
| fmul %st(0) |
| fld1 |
| fsubp |
| fsqrt |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_atan2.s |
|---|
| 0,0 → 1,7 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_atan2) |
| fldl 4(%esp) |
| fldl 12(%esp) |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_atanh.c |
|---|
| 0,0 → 1,75 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_atanh.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_atanh.c,v 1.6 1994/08/18 23:05:12 jtc Exp $"; |
| #endif |
| /* __ieee754_atanh(x) |
| * Method : |
| * 1.Reduced x to positive by atanh(-x) = -atanh(x) |
| * 2.For x>=0.5 |
| * 1 2x x |
| * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) |
| * 2 1 - x 1 - x |
| * |
| * For x<0.5 |
| * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) |
| * |
| * Special cases: |
| * atanh(x) is NaN if |x| > 1 with signal; |
| * atanh(NaN) is that NaN with no signal; |
| * atanh(+-1) is +-INF with signal. |
| * |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double one = 1.0, huge = 1e300; |
| #else |
| static double one = 1.0, huge = 1e300; |
| #endif |
| #ifdef __STDC__ |
| static const double zero = 0.0; |
| #else |
| static double zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_atanh(double x) |
| #else |
| double __ieee754_atanh(x) |
| double x; |
| #endif |
| { |
| double t; |
| int32_t hx,ix; |
| u_int32_t lx; |
| EXTRACT_WORDS(hx,lx,x); |
| ix = hx&0x7fffffff; |
| if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */ |
| return (x-x)/(x-x); |
| if(ix==0x3ff00000) |
| return x/zero; |
| if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */ |
| SET_HIGH_WORD(x,ix); |
| if(ix<0x3fe00000) { /* x < 0.5 */ |
| t = x+x; |
| t = 0.5*log1p(t+t*x/(one-x)); |
| } else |
| t = 0.5*log1p((x+x)/(one-x)); |
| if(hx>=0) return t; else return -t; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_cosh.c |
|---|
| 0,0 → 1,94 |
| /* Copyright (C) 1995 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_cosh.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_cosh.c,v 1.5 1994/08/18 23:05:15 jtc Exp $"; |
| #endif |
| /* __ieee754_cosh(x) |
| * Method : |
| * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 |
| * 1. Replace x by |x| (cosh(x) = cosh(-x)). |
| * 2. |
| * [ exp(x) - 1 ]^2 |
| * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- |
| * 2*exp(x) |
| * |
| * exp(x) + 1/exp(x) |
| * ln2/2 <= x <= 22 : cosh(x) := ------------------- |
| * 2 |
| * 22 <= x <= lnovft : cosh(x) := exp(x)/2 |
| * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) |
| * ln2ovft < x : cosh(x) := huge*huge (overflow) |
| * |
| * Special cases: |
| * cosh(x) is |x| if x is +INF, -INF, or NaN. |
| * only cosh(0)=1 is exact for finite x. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double one = 1.0, half=0.5, huge = 1.0e300; |
| #else |
| static double one = 1.0, half=0.5, huge = 1.0e300; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_cosh(double x) |
| #else |
| double __ieee754_cosh(x) |
| double x; |
| #endif |
| { |
| double t,w; |
| int32_t ix; |
| u_int32_t lx; |
| /* High word of |x|. */ |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| /* x is INF or NaN */ |
| if(ix>=0x7ff00000) return x*x; |
| /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ |
| if(ix<0x3fd62e43) { |
| t = expm1(fabs(x)); |
| w = one+t; |
| if (ix<0x3c800000) 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 < 0x40360000) { |
| t = __ieee754_exp(fabs(x)); |
| return half*t+half/t; |
| } |
| /* |x| in [22, log(maxdouble)] return half*exp(|x|) */ |
| if (ix < 0x40862E42) return half*__ieee754_exp(fabs(x)); |
| /* |x| in [log(maxdouble), overflowthresold] */ |
| GET_LOW_WORD(lx,x); |
| if (ix<0x408633CE || |
| ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87dU))) { |
| w = __ieee754_exp(half*fabs(x)); |
| t = half*w; |
| return t*w; |
| } |
| /* |x| > overflowthresold, cosh(x) overflow */ |
| return huge*huge; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_exp.s |
|---|
| 0,0 → 1,15 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_exp) |
| fldl 4(%esp) |
| fldl2e |
| fmulp |
| fstl %st(1) |
| frndint |
| fstl %st(2) |
| fsubrp |
| f2xm1 |
| fld1 |
| faddp |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_fmod.s |
|---|
| 0,0 → 1,10 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_fmod) |
| fldl 12(%esp) |
| fldl 4(%esp) |
| 1: fprem |
| fstsw %ax |
| sahf |
| jp 1b |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_gamma.c |
|---|
| 0,0 → 1,38 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_gamma.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. |
| * ==================================================== |
| * |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_gamma.c,v 1.4 1994/08/10 20:30:51 jtc Exp $"; |
| #endif |
| /* __ieee754_gamma(x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call __ieee754_gamma_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| double __ieee754_gamma(double x) |
| #else |
| double __ieee754_gamma(x) |
| double x; |
| #endif |
| { |
| return __ieee754_gamma_r(x,&signgam); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_hypot.c |
|---|
| 0,0 → 1,129 |
| /* Copyright (C) 1995 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_hypot.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $"; |
| #endif |
| /* __ieee754_hypot(x,y) |
| * |
| * Method : |
| * If (assume round-to-nearest) z=x*x+y*y |
| * has error less than sqrt(2)/2 ulp, than |
| * sqrt(z) has error less than 1 ulp (exercise). |
| * |
| * So, compute sqrt(x*x+y*y) with some care as |
| * follows to get the error below 1 ulp: |
| * |
| * Assume x>y>0; |
| * (if possible, set rounding to round-to-nearest) |
| * 1. if x > 2y use |
| * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y |
| * where x1 = x with lower 32 bits cleared, x2 = x-x1; else |
| * 2. if x <= 2y use |
| * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) |
| * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, |
| * y1= y with lower 32 bits chopped, y2 = y-y1. |
| * |
| * NOTE: scaling may be necessary if some argument is too |
| * large or too tiny |
| * |
| * Special cases: |
| * hypot(x,y) is INF if x or y is +INF or -INF; else |
| * hypot(x,y) is NAN if x or y is NAN. |
| * |
| * Accuracy: |
| * hypot(x,y) returns sqrt(x^2+y^2) with error less |
| * than 1 ulps (units in the last place) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double __ieee754_hypot(double x, double y) |
| #else |
| double __ieee754_hypot(x,y) |
| double x, y; |
| #endif |
| { |
| double a=x,b=y,t1,t2,y1a,y2,w; |
| int32_t j,k,ha,hb; |
| GET_HIGH_WORD(ha,x); |
| ha &= 0x7fffffff; |
| GET_HIGH_WORD(hb,y); |
| hb &= 0x7fffffff; |
| if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} |
| SET_HIGH_WORD(a,ha); /* a <- |a| */ |
| SET_HIGH_WORD(b,hb); /* b <- |b| */ |
| if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */ |
| k=0; |
| if(ha > 0x5f300000) { /* a>2**500 */ |
| if(ha >= 0x7ff00000) { /* Inf or NaN */ |
| u_int32_t low; |
| w = a+b; /* for sNaN */ |
| GET_LOW_WORD(low,a); |
| if(((ha&0xfffff)|low)==0) w = a; |
| GET_LOW_WORD(low,b); |
| if(((hb^0x7ff00000)|low)==0) w = b; |
| return w; |
| } |
| /* scale a and b by 2**-600 */ |
| ha -= 0x25800000; hb -= 0x25800000; k += 600; |
| SET_HIGH_WORD(a,ha); |
| SET_HIGH_WORD(b,hb); |
| } |
| if(hb < 0x20b00000) { /* b < 2**-500 */ |
| if(hb <= 0x000fffff) { /* subnormal b or 0 */ |
| u_int32_t low; |
| GET_LOW_WORD(low,b); |
| if((hb|low)==0) return a; |
| t1=0; |
| SET_HIGH_WORD(t1,0x7fd00000); /* t1=2^1022 */ |
| b *= t1; |
| a *= t1; |
| k -= 1022; |
| } else { /* scale a and b by 2^600 */ |
| ha += 0x25800000; /* a *= 2^600 */ |
| hb += 0x25800000; /* b *= 2^600 */ |
| k -= 600; |
| SET_HIGH_WORD(a,ha); |
| SET_HIGH_WORD(b,hb); |
| } |
| } |
| /* medium size a and b */ |
| w = a-b; |
| if (w>b) { |
| t1 = 0; |
| SET_HIGH_WORD(t1,ha); |
| t2 = a-t1; |
| w = sqrt(t1*t1-(b*(-b)-t2*(a+t1))); |
| } else { |
| a = a+a; |
| y1a = 0; |
| SET_HIGH_WORD(y1a,hb); |
| y2 = b - y1a; |
| t1 = 0; |
| SET_HIGH_WORD(t1,ha+0x00100000); |
| t2 = a - t1; |
| w = sqrt(t1*y1a-(w*(-w)-(t1*y2+t2*b))); |
| } |
| if(k!=0) { |
| u_int32_t high; |
| t1 = 1.0; |
| GET_HIGH_WORD(high,t1); |
| SET_HIGH_WORD(t1,high+(k<<20)); |
| return t1*w; |
| } else return w; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_j0.c |
|---|
| 0,0 → 1,488 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_j0.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_j0.c,v 1.6 1994/08/18 23:05:29 jtc Exp $"; |
| #endif |
| /* __ieee754_j0(x), __ieee754_y0(x) |
| * Bessel function of the first and second kinds of order zero. |
| * Method -- j0(x): |
| * 1. For tiny x, we use j0(x) = 1 - x^2/4 + x^4/64 - ... |
| * 2. Reduce x to |x| since j0(x)=j0(-x), and |
| * for x in (0,2) |
| * j0(x) = 1-z/4+ z^2*R0/S0, where z = x*x; |
| * (precision: |j0-1+z/4-z^2R0/S0 |<2**-63.67 ) |
| * for x in (2,inf) |
| * j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0)) |
| * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0) |
| * as follow: |
| * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4) |
| * = 1/sqrt(2) * (cos(x) + sin(x)) |
| * sin(x0) = sin(x)cos(pi/4)-cos(x)sin(pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * (To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one.) |
| * |
| * 3 Special cases |
| * j0(nan)= nan |
| * j0(0) = 1 |
| * j0(inf) = 0 |
| * |
| * Method -- y0(x): |
| * 1. For x<2. |
| * Since |
| * y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...) |
| * therefore y0(x)-2/pi*j0(x)*ln(x) is an even function. |
| * We use the following function to approximate y0, |
| * y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2 |
| * where |
| * U(z) = u00 + u01*z + ... + u06*z^6 |
| * V(z) = 1 + v01*z + ... + v04*z^4 |
| * with absolute approximation error bounded by 2**-72. |
| * Note: For tiny x, U/V = u0 and j0(x)~1, hence |
| * y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27) |
| * 2. For x>=2. |
| * y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0)) |
| * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0) |
| * by the method mentioned above. |
| * 3. Special cases: y0(0)=-inf, y0(x<0)=NaN, y0(inf)=0. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static double pzero(double), qzero(double); |
| #else |
| static double pzero(), qzero(); |
| #endif |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| huge = 1e300, |
| one = 1.0, |
| invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ |
| tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ |
| /* R0/S0 on [0, 2.00] */ |
| R02 = 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */ |
| R03 = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */ |
| R04 = 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */ |
| R05 = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */ |
| S01 = 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */ |
| S02 = 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */ |
| S03 = 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */ |
| S04 = 1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */ |
| #ifdef __STDC__ |
| static const double zero = 0.0; |
| #else |
| static double zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_j0(double x) |
| #else |
| double __ieee754_j0(x) |
| double x; |
| #endif |
| { |
| double z, s,c,ss,cc,r,u,v; |
| int32_t hx,ix; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) return one/(x*x); |
| x = fabs(x); |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sin(x); |
| c = cos(x); |
| ss = s-c; |
| cc = s+c; |
| if(ix<0x7fe00000) { /* make sure x+x not overflow */ |
| z = -cos(x+x); |
| if ((s*c)<zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* |
| * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
| * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
| */ |
| if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(x); |
| else { |
| u = pzero(x); v = qzero(x); |
| z = invsqrtpi*(u*cc-v*ss)/sqrt(x); |
| } |
| return z; |
| } |
| if(ix<0x3f200000) { /* |x| < 2**-13 */ |
| if(huge+x>one) { /* raise inexact if x != 0 */ |
| if(ix<0x3e400000) return one; /* |x|<2**-27 */ |
| else return one - 0.25*x*x; |
| } |
| } |
| z = x*x; |
| r = z*(R02+z*(R03+z*(R04+z*R05))); |
| s = one+z*(S01+z*(S02+z*(S03+z*S04))); |
| if(ix < 0x3FF00000) { /* |x| < 1.00 */ |
| return one + z*(-0.25+(r/s)); |
| } else { |
| u = 0.5*x; |
| return((one+u)*(one-u)+z*(r/s)); |
| } |
| } |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| u00 = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */ |
| u01 = 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */ |
| u02 = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */ |
| u03 = 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */ |
| u04 = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */ |
| u05 = 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */ |
| u06 = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */ |
| v01 = 1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */ |
| v02 = 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */ |
| v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */ |
| v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ |
| #ifdef __STDC__ |
| double __ieee754_y0(double x) |
| #else |
| double __ieee754_y0(x) |
| double x; |
| #endif |
| { |
| double z, s,c,ss,cc,u,v; |
| int32_t hx,ix,lx; |
| EXTRACT_WORDS(hx,lx,x); |
| ix = 0x7fffffff&hx; |
| /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ |
| if(ix>=0x7ff00000) return one/(x+x*x); |
| if((ix|lx)==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0)) |
| * where x0 = x-pi/4 |
| * Better formula: |
| * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4) |
| * = 1/sqrt(2) * (sin(x) + cos(x)) |
| * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one. |
| */ |
| s = sin(x); |
| c = cos(x); |
| ss = s-c; |
| cc = s+c; |
| /* |
| * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
| * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
| */ |
| if(ix<0x7fe00000) { /* make sure x+x not overflow */ |
| z = -cos(x+x); |
| if ((s*c)<zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x); |
| else { |
| u = pzero(x); v = qzero(x); |
| z = invsqrtpi*(u*ss+v*cc)/sqrt(x); |
| } |
| return z; |
| } |
| if(ix<=0x3e400000) { /* x < 2**-27 */ |
| return(u00 + tpi*__ieee754_log(x)); |
| } |
| z = x*x; |
| u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06))))); |
| v = one+z*(v01+z*(v02+z*(v03+z*v04))); |
| return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x))); |
| } |
| /* The asymptotic expansions of pzero is |
| * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x. |
| * For x >= 2, We approximate pzero by |
| * pzero(x) = 1 + (R/S) |
| * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10 |
| * S = 1 + pS0*s^2 + ... + pS4*s^10 |
| * and |
| * | pzero(x)-1-R/S | <= 2 ** ( -60.26) |
| */ |
| #ifdef __STDC__ |
| static const double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ |
| -7.03124999999900357484e-02, /* 0xBFB1FFFF, 0xFFFFFD32 */ |
| -8.08167041275349795626e+00, /* 0xC02029D0, 0xB44FA779 */ |
| -2.57063105679704847262e+02, /* 0xC0701102, 0x7B19E863 */ |
| -2.48521641009428822144e+03, /* 0xC0A36A6E, 0xCD4DCAFC */ |
| -5.25304380490729545272e+03, /* 0xC0B4850B, 0x36CC643D */ |
| }; |
| #ifdef __STDC__ |
| static const double pS8[5] = { |
| #else |
| static double pS8[5] = { |
| #endif |
| 1.16534364619668181717e+02, /* 0x405D2233, 0x07A96751 */ |
| 3.83374475364121826715e+03, /* 0x40ADF37D, 0x50596938 */ |
| 4.05978572648472545552e+04, /* 0x40E3D2BB, 0x6EB6B05F */ |
| 1.16752972564375915681e+05, /* 0x40FC810F, 0x8F9FA9BD */ |
| 4.76277284146730962675e+04, /* 0x40E74177, 0x4F2C49DC */ |
| }; |
| #ifdef __STDC__ |
| static const double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| -1.14125464691894502584e-11, /* 0xBDA918B1, 0x47E495CC */ |
| -7.03124940873599280078e-02, /* 0xBFB1FFFF, 0xE69AFBC6 */ |
| -4.15961064470587782438e+00, /* 0xC010A370, 0xF90C6BBF */ |
| -6.76747652265167261021e+01, /* 0xC050EB2F, 0x5A7D1783 */ |
| -3.31231299649172967747e+02, /* 0xC074B3B3, 0x6742CC63 */ |
| -3.46433388365604912451e+02, /* 0xC075A6EF, 0x28A38BD7 */ |
| }; |
| #ifdef __STDC__ |
| static const double pS5[5] = { |
| #else |
| static double pS5[5] = { |
| #endif |
| 6.07539382692300335975e+01, /* 0x404E6081, 0x0C98C5DE */ |
| 1.05125230595704579173e+03, /* 0x40906D02, 0x5C7E2864 */ |
| 5.97897094333855784498e+03, /* 0x40B75AF8, 0x8FBE1D60 */ |
| 9.62544514357774460223e+03, /* 0x40C2CCB8, 0xFA76FA38 */ |
| 2.40605815922939109441e+03, /* 0x40A2CC1D, 0xC70BE864 */ |
| }; |
| #ifdef __STDC__ |
| static const double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #else |
| static double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| -2.54704601771951915620e-09, /* 0xBE25E103, 0x6FE1AA86 */ |
| -7.03119616381481654654e-02, /* 0xBFB1FFF6, 0xF7C0E24B */ |
| -2.40903221549529611423e+00, /* 0xC00345B2, 0xAEA48074 */ |
| -2.19659774734883086467e+01, /* 0xC035F74A, 0x4CB94E14 */ |
| -5.80791704701737572236e+01, /* 0xC04D0A22, 0x420A1A45 */ |
| -3.14479470594888503854e+01, /* 0xC03F72AC, 0xA892D80F */ |
| }; |
| #ifdef __STDC__ |
| static const double pS3[5] = { |
| #else |
| static double pS3[5] = { |
| #endif |
| 3.58560338055209726349e+01, /* 0x4041ED92, 0x84077DD3 */ |
| 3.61513983050303863820e+02, /* 0x40769839, 0x464A7C0E */ |
| 1.19360783792111533330e+03, /* 0x4092A66E, 0x6D1061D6 */ |
| 1.12799679856907414432e+03, /* 0x40919FFC, 0xB8C39B7E */ |
| 1.73580930813335754692e+02, /* 0x4065B296, 0xFC379081 */ |
| }; |
| #ifdef __STDC__ |
| static const double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| -8.87534333032526411254e-08, /* 0xBE77D316, 0xE927026D */ |
| -7.03030995483624743247e-02, /* 0xBFB1FF62, 0x495E1E42 */ |
| -1.45073846780952986357e+00, /* 0xBFF73639, 0x8A24A843 */ |
| -7.63569613823527770791e+00, /* 0xC01E8AF3, 0xEDAFA7F3 */ |
| -1.11931668860356747786e+01, /* 0xC02662E6, 0xC5246303 */ |
| -3.23364579351335335033e+00, /* 0xC009DE81, 0xAF8FE70F */ |
| }; |
| #ifdef __STDC__ |
| static const double pS2[5] = { |
| #else |
| static double pS2[5] = { |
| #endif |
| 2.22202997532088808441e+01, /* 0x40363865, 0x908B5959 */ |
| 1.36206794218215208048e+02, /* 0x4061069E, 0x0EE8878F */ |
| 2.70470278658083486789e+02, /* 0x4070E786, 0x42EA079B */ |
| 1.53875394208320329881e+02, /* 0x40633C03, 0x3AB6FAFF */ |
| 1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */ |
| }; |
| #ifdef __STDC__ |
| static double pzero(double x) |
| #else |
| static double pzero(x) |
| double x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const double *p,*q; |
| #else |
| double *p,*q; |
| #endif |
| double z,r,s; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x40200000) {p = pR8; q= pS8;} |
| else if(ix>=0x40122E8B){p = pR5; q= pS5;} |
| else if(ix>=0x4006DB6D){p = pR3; q= pS3;} |
| else if(ix>=0x40000000){p = pR2; q= pS2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); |
| return one+ r/s; |
| } |
| /* For x >= 8, the asymptotic expansions of qzero is |
| * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. |
| * We approximate pzero by |
| * qzero(x) = s*(-1.25 + (R/S)) |
| * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10 |
| * S = 1 + qS0*s^2 + ... + qS5*s^12 |
| * and |
| * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22) |
| */ |
| #ifdef __STDC__ |
| static const double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ |
| 7.32421874999935051953e-02, /* 0x3FB2BFFF, 0xFFFFFE2C */ |
| 1.17682064682252693899e+01, /* 0x40278952, 0x5BB334D6 */ |
| 5.57673380256401856059e+02, /* 0x40816D63, 0x15301825 */ |
| 8.85919720756468632317e+03, /* 0x40C14D99, 0x3E18F46D */ |
| 3.70146267776887834771e+04, /* 0x40E212D4, 0x0E901566 */ |
| }; |
| #ifdef __STDC__ |
| static const double qS8[6] = { |
| #else |
| static double qS8[6] = { |
| #endif |
| 1.63776026895689824414e+02, /* 0x406478D5, 0x365B39BC */ |
| 8.09834494656449805916e+03, /* 0x40BFA258, 0x4E6B0563 */ |
| 1.42538291419120476348e+05, /* 0x41016652, 0x54D38C3F */ |
| 8.03309257119514397345e+05, /* 0x412883DA, 0x83A52B43 */ |
| 8.40501579819060512818e+05, /* 0x4129A66B, 0x28DE0B3D */ |
| -3.43899293537866615225e+05, /* 0xC114FD6D, 0x2C9530C5 */ |
| }; |
| #ifdef __STDC__ |
| static const double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| 1.84085963594515531381e-11, /* 0x3DB43D8F, 0x29CC8CD9 */ |
| 7.32421766612684765896e-02, /* 0x3FB2BFFF, 0xD172B04C */ |
| 5.83563508962056953777e+00, /* 0x401757B0, 0xB9953DD3 */ |
| 1.35111577286449829671e+02, /* 0x4060E392, 0x0A8788E9 */ |
| 1.02724376596164097464e+03, /* 0x40900CF9, 0x9DC8C481 */ |
| 1.98997785864605384631e+03, /* 0x409F17E9, 0x53C6E3A6 */ |
| }; |
| #ifdef __STDC__ |
| static const double qS5[6] = { |
| #else |
| static double qS5[6] = { |
| #endif |
| 8.27766102236537761883e+01, /* 0x4054B1B3, 0xFB5E1543 */ |
| 2.07781416421392987104e+03, /* 0x40A03BA0, 0xDA21C0CE */ |
| 1.88472887785718085070e+04, /* 0x40D267D2, 0x7B591E6D */ |
| 5.67511122894947329769e+04, /* 0x40EBB5E3, 0x97E02372 */ |
| 3.59767538425114471465e+04, /* 0x40E19118, 0x1F7A54A0 */ |
| -5.35434275601944773371e+03, /* 0xC0B4EA57, 0xBEDBC609 */ |
| }; |
| #ifdef __STDC__ |
| static const double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #else |
| static double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| 4.37741014089738620906e-09, /* 0x3E32CD03, 0x6ADECB82 */ |
| 7.32411180042911447163e-02, /* 0x3FB2BFEE, 0x0E8D0842 */ |
| 3.34423137516170720929e+00, /* 0x400AC0FC, 0x61149CF5 */ |
| 4.26218440745412650017e+01, /* 0x40454F98, 0x962DAEDD */ |
| 1.70808091340565596283e+02, /* 0x406559DB, 0xE25EFD1F */ |
| 1.66733948696651168575e+02, /* 0x4064D77C, 0x81FA21E0 */ |
| }; |
| #ifdef __STDC__ |
| static const double qS3[6] = { |
| #else |
| static double qS3[6] = { |
| #endif |
| 4.87588729724587182091e+01, /* 0x40486122, 0xBFE343A6 */ |
| 7.09689221056606015736e+02, /* 0x40862D83, 0x86544EB3 */ |
| 3.70414822620111362994e+03, /* 0x40ACF04B, 0xE44DFC63 */ |
| 6.46042516752568917582e+03, /* 0x40B93C6C, 0xD7C76A28 */ |
| 2.51633368920368957333e+03, /* 0x40A3A8AA, 0xD94FB1C0 */ |
| -1.49247451836156386662e+02, /* 0xC062A7EB, 0x201CF40F */ |
| }; |
| #ifdef __STDC__ |
| static const double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| 1.50444444886983272379e-07, /* 0x3E84313B, 0x54F76BDB */ |
| 7.32234265963079278272e-02, /* 0x3FB2BEC5, 0x3E883E34 */ |
| 1.99819174093815998816e+00, /* 0x3FFFF897, 0xE727779C */ |
| 1.44956029347885735348e+01, /* 0x402CFDBF, 0xAAF96FE5 */ |
| 3.16662317504781540833e+01, /* 0x403FAA8E, 0x29FBDC4A */ |
| 1.62527075710929267416e+01, /* 0x403040B1, 0x71814BB4 */ |
| }; |
| #ifdef __STDC__ |
| static const double qS2[6] = { |
| #else |
| static double qS2[6] = { |
| #endif |
| 3.03655848355219184498e+01, /* 0x403E5D96, 0xF7C07AED */ |
| 2.69348118608049844624e+02, /* 0x4070D591, 0xE4D14B40 */ |
| 8.44783757595320139444e+02, /* 0x408A6645, 0x22B3BF22 */ |
| 8.82935845112488550512e+02, /* 0x408B977C, 0x9C5CC214 */ |
| 2.12666388511798828631e+02, /* 0x406A9553, 0x0E001365 */ |
| -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */ |
| }; |
| #ifdef __STDC__ |
| static double qzero(double x) |
| #else |
| static double qzero(x) |
| double x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const double *p,*q; |
| #else |
| double *p,*q; |
| #endif |
| double s,r,z; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x40200000) {p = qR8; q= qS8;} |
| else if(ix>=0x40122E8B){p = qR5; q= qS5;} |
| else if(ix>=0x4006DB6D){p = qR3; q= qS3;} |
| else if(ix>=0x40000000){p = qR2; q= qS2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); |
| return (-.125 + r/s)/x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_j1.c |
|---|
| 0,0 → 1,487 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_j1.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_j1.c,v 1.6 1994/08/18 23:05:33 jtc Exp $"; |
| #endif |
| /* __ieee754_j1(x), __ieee754_y1(x) |
| * Bessel function of the first and second kinds of order zero. |
| * Method -- j1(x): |
| * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ... |
| * 2. Reduce x to |x| since j1(x)=-j1(-x), and |
| * for x in (0,2) |
| * j1(x) = x/2 + x*z*R0/S0, where z = x*x; |
| * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 ) |
| * for x in (2,inf) |
| * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1)) |
| * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) |
| * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) |
| * as follow: |
| * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) |
| * = -1/sqrt(2) * (sin(x) + cos(x)) |
| * (To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one.) |
| * |
| * 3 Special cases |
| * j1(nan)= nan |
| * j1(0) = 0 |
| * j1(inf) = 0 |
| * |
| * Method -- y1(x): |
| * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN |
| * 2. For x<2. |
| * Since |
| * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...) |
| * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function. |
| * We use the following function to approximate y1, |
| * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2 |
| * where for x in [0,2] (abs err less than 2**-65.89) |
| * U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4 |
| * V(z) = 1 + v0[0]*z + ... + v0[4]*z^5 |
| * Note: For tiny x, 1/x dominate y1 and hence |
| * y1(tiny) = -2/pi/tiny, (choose tiny<2**-54) |
| * 3. For x>=2. |
| * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1)) |
| * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1) |
| * by method mentioned above. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static double pone(double), qone(double); |
| #else |
| static double pone(), qone(); |
| #endif |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| huge = 1e300, |
| one = 1.0, |
| invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ |
| tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ |
| /* R0/S0 on [0,2] */ |
| r00 = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */ |
| r01 = 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */ |
| r02 = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */ |
| r03 = 4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */ |
| s01 = 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */ |
| s02 = 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */ |
| s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */ |
| s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */ |
| s05 = 1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */ |
| #ifdef __STDC__ |
| static const double zero = 0.0; |
| #else |
| static double zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_j1(double x) |
| #else |
| double __ieee754_j1(x) |
| double x; |
| #endif |
| { |
| double z, s,c,ss,cc,r,u,v,y; |
| int32_t hx,ix; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) return one/x; |
| y = fabs(x); |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sin(y); |
| c = cos(y); |
| ss = -s-c; |
| cc = s-c; |
| if(ix<0x7fe00000) { /* make sure y+y not overflow */ |
| z = cos(y+y); |
| if ((s*c)>zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* |
| * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x) |
| * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x) |
| */ |
| if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(y); |
| else { |
| u = pone(y); v = qone(y); |
| z = invsqrtpi*(u*cc-v*ss)/sqrt(y); |
| } |
| if(hx<0) return -z; |
| else return z; |
| } |
| if(ix<0x3e400000) { /* |x|<2**-27 */ |
| if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */ |
| } |
| z = x*x; |
| r = z*(r00+z*(r01+z*(r02+z*r03))); |
| s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05)))); |
| r *= x; |
| return(x*0.5+r/s); |
| } |
| #ifdef __STDC__ |
| static const double U0[5] = { |
| #else |
| static double U0[5] = { |
| #endif |
| -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */ |
| 5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */ |
| -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */ |
| 2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */ |
| -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */ |
| }; |
| #ifdef __STDC__ |
| static const double V0[5] = { |
| #else |
| static double V0[5] = { |
| #endif |
| 1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */ |
| 2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */ |
| 1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */ |
| 6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */ |
| 1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */ |
| }; |
| #ifdef __STDC__ |
| double __ieee754_y1(double x) |
| #else |
| double __ieee754_y1(x) |
| double x; |
| #endif |
| { |
| double z, s,c,ss,cc,u,v; |
| int32_t hx,ix,lx; |
| EXTRACT_WORDS(hx,lx,x); |
| ix = 0x7fffffff&hx; |
| /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */ |
| if(ix>=0x7ff00000) return one/(x+x*x); |
| if((ix|lx)==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sin(x); |
| c = cos(x); |
| ss = -s-c; |
| cc = s-c; |
| if(ix<0x7fe00000) { /* make sure x+x not overflow */ |
| z = cos(x+x); |
| if ((s*c)>zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0)) |
| * where x0 = x-3pi/4 |
| * Better formula: |
| * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) |
| * = -1/sqrt(2) * (cos(x) + sin(x)) |
| * To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one. |
| */ |
| if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x); |
| else { |
| u = pone(x); v = qone(x); |
| z = invsqrtpi*(u*ss+v*cc)/sqrt(x); |
| } |
| return z; |
| } |
| if(ix<=0x3c900000) { /* x < 2**-54 */ |
| return(-tpi/x); |
| } |
| z = x*x; |
| u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4]))); |
| v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4])))); |
| return(x*(u/v) + tpi*(__ieee754_j1(x)*__ieee754_log(x)-one/x)); |
| } |
| /* For x >= 8, the asymptotic expansions of pone is |
| * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x. |
| * We approximate pone by |
| * pone(x) = 1 + (R/S) |
| * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10 |
| * S = 1 + ps0*s^2 + ... + ps4*s^10 |
| * and |
| * | pone(x)-1-R/S | <= 2 ** ( -60.06) |
| */ |
| #ifdef __STDC__ |
| static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ |
| 1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */ |
| 1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */ |
| 4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */ |
| 3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */ |
| 7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */ |
| }; |
| #ifdef __STDC__ |
| static const double ps8[5] = { |
| #else |
| static double ps8[5] = { |
| #endif |
| 1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */ |
| 3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */ |
| 3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */ |
| 9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */ |
| 3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */ |
| }; |
| #ifdef __STDC__ |
| static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| 1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */ |
| 1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */ |
| 6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */ |
| 1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */ |
| 5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */ |
| 5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */ |
| }; |
| #ifdef __STDC__ |
| static const double ps5[5] = { |
| #else |
| static double ps5[5] = { |
| #endif |
| 5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */ |
| 9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */ |
| 5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */ |
| 7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */ |
| 1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */ |
| }; |
| #ifdef __STDC__ |
| static const double pr3[6] = { |
| #else |
| static double pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| 3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */ |
| 1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */ |
| 3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */ |
| 3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */ |
| 9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */ |
| 4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */ |
| }; |
| #ifdef __STDC__ |
| static const double ps3[5] = { |
| #else |
| static double ps3[5] = { |
| #endif |
| 3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */ |
| 3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */ |
| 1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */ |
| 8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */ |
| 1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */ |
| }; |
| #ifdef __STDC__ |
| static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| 1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */ |
| 1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */ |
| 2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */ |
| 1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */ |
| 1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */ |
| 5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */ |
| }; |
| #ifdef __STDC__ |
| static const double ps2[5] = { |
| #else |
| static double ps2[5] = { |
| #endif |
| 2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */ |
| 1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */ |
| 2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */ |
| 1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */ |
| 8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */ |
| }; |
| #ifdef __STDC__ |
| static double pone(double x) |
| #else |
| static double pone(x) |
| double x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const double *p,*q; |
| #else |
| double *p,*q; |
| #endif |
| double z,r,s; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x40200000) {p = pr8; q= ps8;} |
| else if(ix>=0x40122E8B){p = pr5; q= ps5;} |
| else if(ix>=0x4006DB6D){p = pr3; q= ps3;} |
| else if(ix>=0x40000000){p = pr2; q= ps2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); |
| return one+ r/s; |
| } |
| /* For x >= 8, the asymptotic expansions of qone is |
| * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. |
| * We approximate pone by |
| * qone(x) = s*(0.375 + (R/S)) |
| * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10 |
| * S = 1 + qs1*s^2 + ... + qs6*s^12 |
| * and |
| * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13) |
| */ |
| #ifdef __STDC__ |
| static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ |
| -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */ |
| -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */ |
| -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */ |
| -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */ |
| -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */ |
| }; |
| #ifdef __STDC__ |
| static const double qs8[6] = { |
| #else |
| static double qs8[6] = { |
| #endif |
| 1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */ |
| 7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */ |
| 1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */ |
| 7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */ |
| 6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */ |
| -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */ |
| }; |
| #ifdef __STDC__ |
| static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */ |
| -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */ |
| -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */ |
| -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */ |
| -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */ |
| -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */ |
| }; |
| #ifdef __STDC__ |
| static const double qs5[6] = { |
| #else |
| static double qs5[6] = { |
| #endif |
| 8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */ |
| 1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */ |
| 1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */ |
| 4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */ |
| 2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */ |
| -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */ |
| }; |
| #ifdef __STDC__ |
| static const double qr3[6] = { |
| #else |
| static double qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */ |
| -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */ |
| -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */ |
| -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */ |
| -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */ |
| -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */ |
| }; |
| #ifdef __STDC__ |
| static const double qs3[6] = { |
| #else |
| static double qs3[6] = { |
| #endif |
| 4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */ |
| 6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */ |
| 3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */ |
| 5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */ |
| 1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */ |
| -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */ |
| }; |
| #ifdef __STDC__ |
| static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */ |
| -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */ |
| -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */ |
| -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */ |
| -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */ |
| -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */ |
| }; |
| #ifdef __STDC__ |
| static const double qs2[6] = { |
| #else |
| static double qs2[6] = { |
| #endif |
| 2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */ |
| 2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */ |
| 7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */ |
| 7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */ |
| 1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */ |
| -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */ |
| }; |
| #ifdef __STDC__ |
| static double qone(double x) |
| #else |
| static double qone(x) |
| double x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const double *p,*q; |
| #else |
| double *p,*q; |
| #endif |
| double s,r,z; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x40200000) {p = qr8; q= qs8;} |
| else if(ix>=0x40122E8B){p = qr5; q= qs5;} |
| else if(ix>=0x4006DB6D){p = qr3; q= qs3;} |
| else if(ix>=0x40000000){p = qr2; q= qs2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); |
| return (.375 + r/s)/x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_jn.c |
|---|
| 0,0 → 1,282 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_jn.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_jn.c,v 1.6 1994/08/18 23:05:37 jtc Exp $"; |
| #endif |
| /* |
| * __ieee754_jn(n, x), __ieee754_yn(n, x) |
| * floating point Bessel's function of the 1st and 2nd kind |
| * of order n |
| * |
| * Special cases: |
| * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; |
| * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. |
| * Note 2. About jn(n,x), yn(n,x) |
| * For n=0, j0(x) is called, |
| * for n=1, j1(x) is called, |
| * for n<x, forward recursion us used starting |
| * from values of j0(x) and j1(x). |
| * for n>x, a continued fraction approximation to |
| * j(n,x)/j(n-1,x) is evaluated and then backward |
| * recursion is used starting from a supposed value |
| * for j(n,x). The resulting value of j(0,x) is |
| * compared with the actual value to correct the |
| * supposed value of j(n,x). |
| * |
| * yn(n,x) is similar in all respects, except |
| * that forward recursion is used for all |
| * values of n>1. |
| * |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ |
| two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */ |
| one = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */ |
| #ifdef __STDC__ |
| static const double zero = 0.00000000000000000000e+00; |
| #else |
| static double zero = 0.00000000000000000000e+00; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_jn(int n, double x) |
| #else |
| double __ieee754_jn(n,x) |
| int n; double x; |
| #endif |
| { |
| int32_t i,hx,ix,lx, sgn; |
| double a, b, temp, di; |
| double z, w; |
| /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x) |
| * Thus, J(-n,x) = J(n,-x) |
| */ |
| EXTRACT_WORDS(hx,lx,x); |
| ix = 0x7fffffff&hx; |
| /* if J(n,NaN) is NaN */ |
| if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x; |
| if(n<0){ |
| n = -n; |
| x = -x; |
| hx ^= 0x80000000; |
| } |
| if(n==0) return(__ieee754_j0(x)); |
| if(n==1) return(__ieee754_j1(x)); |
| sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */ |
| x = fabs(x); |
| if((ix|lx)==0||ix>=0x7ff00000) /* if x is 0 or inf */ |
| b = zero; |
| else if((double)n<=x) { |
| /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */ |
| if(ix>=0x52D00000) { /* x > 2**302 */ |
| /* (x >> n**2) |
| * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) |
| * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) |
| * Let s=sin(x), c=cos(x), |
| * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then |
| * |
| * n sin(xn)*sqt2 cos(xn)*sqt2 |
| * ---------------------------------- |
| * 0 s-c c+s |
| * 1 -s-c -c+s |
| * 2 -s+c -c-s |
| * 3 s+c c-s |
| */ |
| switch(n&3) { |
| case 0: temp = cos(x)+sin(x); break; |
| case 1: temp = -cos(x)+sin(x); break; |
| case 2: temp = -cos(x)-sin(x); break; |
| case 3: temp = cos(x)-sin(x); break; |
| } |
| b = invsqrtpi*temp/sqrt(x); |
| } else { |
| a = __ieee754_j0(x); |
| b = __ieee754_j1(x); |
| for(i=1;i<n;i++){ |
| temp = b; |
| b = b*((double)(i+i)/x) - a; /* avoid underflow */ |
| a = temp; |
| } |
| } |
| } else { |
| if(ix<0x3e100000) { /* x < 2**-29 */ |
| /* x is tiny, return the first Taylor expansion of J(n,x) |
| * J(n,x) = 1/n!*(x/2)^n - ... |
| */ |
| if(n>33) /* underflow */ |
| b = zero; |
| else { |
| temp = x*0.5; b = temp; |
| for (a=one,i=2;i<=n;i++) { |
| a *= (double)i; /* a = n! */ |
| b *= temp; /* b = (x/2)^n */ |
| } |
| b = b/a; |
| } |
| } else { |
| /* use backward recurrence */ |
| /* x x^2 x^2 |
| * J(n,x)/J(n-1,x) = ---- ------ ------ ..... |
| * 2n - 2(n+1) - 2(n+2) |
| * |
| * 1 1 1 |
| * (for large x) = ---- ------ ------ ..... |
| * 2n 2(n+1) 2(n+2) |
| * -- - ------ - ------ - |
| * x x x |
| * |
| * Let w = 2n/x and h=2/x, then the above quotient |
| * is equal to the continued fraction: |
| * 1 |
| * = ----------------------- |
| * 1 |
| * w - ----------------- |
| * 1 |
| * w+h - --------- |
| * w+2h - ... |
| * |
| * To determine how many terms needed, let |
| * Q(0) = w, Q(1) = w(w+h) - 1, |
| * Q(k) = (w+k*h)*Q(k-1) - Q(k-2), |
| * When Q(k) > 1e4 good for single |
| * When Q(k) > 1e9 good for double |
| * When Q(k) > 1e17 good for quadruple |
| */ |
| /* determine k */ |
| double t,v; |
| double q0,q1,h,tmp; int32_t k,m; |
| w = (n+n)/(double)x; h = 2.0/(double)x; |
| q0 = w; z = w+h; q1 = w*z - 1.0; k=1; |
| while(q1<1.0e9) { |
| k += 1; z += h; |
| tmp = z*q1 - q0; |
| q0 = q1; |
| q1 = tmp; |
| } |
| m = n+n; |
| for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t); |
| a = t; |
| b = one; |
| /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n) |
| * Hence, if n*(log(2n/x)) > ... |
| * single 8.8722839355e+01 |
| * double 7.09782712893383973096e+02 |
| * long double 1.1356523406294143949491931077970765006170e+04 |
| * then recurrent value may overflow and the result is |
| * likely underflow to zero |
| */ |
| tmp = n; |
| v = two/x; |
| tmp = tmp*__ieee754_log(fabs(v*tmp)); |
| if(tmp<7.09782712893383973096e+02) { |
| for(i=n-1,di=(double)(i+i);i>0;i--){ |
| temp = b; |
| b *= di; |
| b = b/x - a; |
| a = temp; |
| di -= two; |
| } |
| } else { |
| for(i=n-1,di=(double)(i+i);i>0;i--){ |
| temp = b; |
| b *= di; |
| b = b/x - a; |
| a = temp; |
| di -= two; |
| /* scale b to avoid spurious overflow */ |
| if(b>1e100) { |
| a /= b; |
| t /= b; |
| b = one; |
| } |
| } |
| } |
| b = (t*__ieee754_j0(x)/b); |
| } |
| } |
| if(sgn==1) return -b; else return b; |
| } |
| #ifdef __STDC__ |
| double __ieee754_yn(int n, double x) |
| #else |
| double __ieee754_yn(n,x) |
| int n; double x; |
| #endif |
| { |
| int32_t i,hx,ix,lx; |
| int32_t sign; |
| double a, b, temp; |
| EXTRACT_WORDS(hx,lx,x); |
| ix = 0x7fffffff&hx; |
| /* if Y(n,NaN) is NaN */ |
| if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x; |
| if((ix|lx)==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| sign = 1; |
| if(n<0){ |
| n = -n; |
| sign = 1 - ((n&1)<<2); |
| } |
| if(n==0) return(__ieee754_y0(x)); |
| if(n==1) return(sign*__ieee754_y1(x)); |
| if(ix==0x7ff00000) return zero; |
| if(ix>=0x52D00000) { /* x > 2**302 */ |
| /* (x >> n**2) |
| * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) |
| * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) |
| * Let s=sin(x), c=cos(x), |
| * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then |
| * |
| * n sin(xn)*sqt2 cos(xn)*sqt2 |
| * ---------------------------------- |
| * 0 s-c c+s |
| * 1 -s-c -c+s |
| * 2 -s+c -c-s |
| * 3 s+c c-s |
| */ |
| switch(n&3) { |
| case 0: temp = sin(x)-cos(x); break; |
| case 1: temp = -sin(x)-cos(x); break; |
| case 2: temp = -sin(x)+cos(x); break; |
| case 3: temp = sin(x)+cos(x); break; |
| } |
| b = invsqrtpi*temp/sqrt(x); |
| } else { |
| u_int32_t high; |
| a = __ieee754_y0(x); |
| b = __ieee754_y1(x); |
| /* quit if b is -inf */ |
| GET_HIGH_WORD(high,b); |
| for(i=1;i<n&&high!=0xfff00000;i++){ |
| temp = b; |
| b = ((double)(i+i)/x)*b - a; |
| GET_HIGH_WORD(high,b); |
| a = temp; |
| } |
| } |
| if(sign>0) return b; else return -b; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_lgamma.c |
|---|
| 0,0 → 1,37 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_lgamma.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_lgamma.c,v 1.4 1994/08/10 20:31:05 jtc Exp $"; |
| #endif |
| /* __ieee754_lgamma(x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call __ieee754_lgamma_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| double __ieee754_lgamma(double x) |
| #else |
| double __ieee754_lgamma(x) |
| double x; |
| #endif |
| { |
| return __ieee754_lgamma_r(x,&signgam); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_log.s |
|---|
| 0,0 → 1,7 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_log) |
| fldln2 |
| fldl 4(%esp) |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_log10.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_log10) |
| fldlg2 |
| fldl 4(%esp) |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_pow.c |
|---|
| 0,0 → 1,309 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_pow.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_pow.c,v 1.6 1994/09/13 00:40:33 jtc Exp $"; |
| #endif |
| /* __ieee754_pow(x,y) return x**y |
| * |
| * n |
| * Method: Let x = 2 * (1+f) |
| * 1. Compute and return log2(x) in two pieces: |
| * log2(x) = w1 + w2, |
| * where w1 has 53-24 = 29 bit trailing zeros. |
| * 2. Perform y*log2(x) = n+y' by simulating muti-precision |
| * arithmetic, where |y'|<=0.5. |
| * 3. Return x**y = 2**n*exp(y'*log2) |
| * |
| * Special cases: |
| * 1. (anything) ** 0 is 1 |
| * 2. (anything) ** 1 is itself |
| * 3. (anything) ** NAN is NAN |
| * 4. NAN ** (anything except 0) is NAN |
| * 5. +-(|x| > 1) ** +INF is +INF |
| * 6. +-(|x| > 1) ** -INF is +0 |
| * 7. +-(|x| < 1) ** +INF is +0 |
| * 8. +-(|x| < 1) ** -INF is +INF |
| * 9. +-1 ** +-INF is NAN |
| * 10. +0 ** (+anything except 0, NAN) is +0 |
| * 11. -0 ** (+anything except 0, NAN, odd integer) is +0 |
| * 12. +0 ** (-anything except 0, NAN) is +INF |
| * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF |
| * 14. -0 ** (odd integer) = -( +0 ** (odd integer) ) |
| * 15. +INF ** (+anything except 0,NAN) is +INF |
| * 16. +INF ** (-anything except 0,NAN) is +0 |
| * 17. -INF ** (anything) = -0 ** (-anything) |
| * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer) |
| * 19. (-anything except 0 and inf) ** (non-integer) is NAN |
| * |
| * Accuracy: |
| * pow(x,y) returns x**y nearly rounded. In particular |
| * pow(integer,integer) |
| * always returns the correct integer provided it is |
| * representable. |
| * |
| * Constants : |
| * The hexadecimal values are the intended ones for the following |
| * constants. The decimal values may be used, provided that the |
| * compiler will convert from decimal to binary accurately enough |
| * to produce the hexadecimal values shown. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| bp[] = {1.0, 1.5,}, |
| dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */ |
| dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */ |
| zero = 0.0, |
| one = 1.0, |
| two = 2.0, |
| two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */ |
| huge = 1.0e300, |
| tiny = 1.0e-300, |
| /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ |
| L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */ |
| L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */ |
| L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */ |
| L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */ |
| L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */ |
| L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */ |
| P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ |
| P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ |
| P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ |
| P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ |
| P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ |
| lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ |
| lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */ |
| lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */ |
| ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */ |
| cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */ |
| cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */ |
| cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/ |
| ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */ |
| ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/ |
| ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ |
| #ifdef __STDC__ |
| double __ieee754_pow(double x, double y) |
| #else |
| double __ieee754_pow(x,y) |
| double x, y; |
| #endif |
| { |
| double z,ax,z_h,z_l,p_h,p_l; |
| double y1,t1,t2,r,s,t,u,v,w; |
| int32_t i,j,k,yisint,n; |
| int32_t hx,hy,ix,iy; |
| u_int32_t lx,ly; |
| EXTRACT_WORDS(hx,lx,x); |
| EXTRACT_WORDS(hy,ly,y); |
| ix = hx&0x7fffffff; iy = hy&0x7fffffff; |
| /* y==zero: x**0 = 1 */ |
| if((iy|ly)==0) return one; |
| /* +-NaN return x+y */ |
| if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) || |
| iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) |
| return x+y; |
| /* determine if y is an odd int when x < 0 |
| * yisint = 0 ... y is not an integer |
| * yisint = 1 ... y is an odd int |
| * yisint = 2 ... y is an even int |
| */ |
| yisint = 0; |
| if(hx<0) { |
| if(iy>=0x43400000) yisint = 2; /* even integer y */ |
| else if(iy>=0x3ff00000) { |
| k = (iy>>20)-0x3ff; /* exponent */ |
| if(k>20) { |
| j = ly>>(52-k); |
| if((j<<(52-k))==ly) yisint = 2-(j&1); |
| } else if(ly==0) { |
| j = iy>>(20-k); |
| if((j<<(20-k))==iy) yisint = 2-(j&1); |
| } |
| } |
| } |
| /* special value of y */ |
| if(ly==0) { |
| if (iy==0x7ff00000) { /* y is +-inf */ |
| if(((ix-0x3ff00000)|lx)==0) |
| return y - y; /* inf**+-1 is NaN */ |
| else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */ |
| return (hy>=0)? y: zero; |
| else /* (|x|<1)**-,+inf = inf,0 */ |
| return (hy<0)?-y: zero; |
| } |
| if(iy==0x3ff00000) { /* y is +-1 */ |
| if(hy<0) return one/x; else return x; |
| } |
| if(hy==0x40000000) return x*x; /* y is 2 */ |
| if(hy==0x3fe00000) { /* y is 0.5 */ |
| if(hx>=0) /* x >= +0 */ |
| return sqrt(x); |
| } |
| } |
| ax = fabs(x); |
| /* special value of x */ |
| if(lx==0) { |
| if(ix==0x7ff00000||ix==0||ix==0x3ff00000){ |
| z = ax; /*x is +-0,+-inf,+-1*/ |
| if(hy<0) z = one/z; /* z = (1/|x|) */ |
| if(hx<0) { |
| if(((ix-0x3ff00000)|yisint)==0) { |
| z = (z-z)/(z-z); /* (-1)**non-int is NaN */ |
| } else if(yisint==1) |
| z = -z; /* (x<0)**odd = -(|x|**odd) */ |
| } |
| return z; |
| } |
| } |
| /* (x<0)**(non-int) is NaN */ |
| if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x); |
| /* |y| is huge */ |
| if(iy>0x41e00000) { /* if |y| > 2**31 */ |
| if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */ |
| if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny; |
| if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny; |
| } |
| /* over/underflow if x is not close to one */ |
| if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny; |
| if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny; |
| /* now |1-x| is tiny <= 2**-20, suffice to compute |
| log(x) by x-x^2/2+x^3/3-x^4/4 */ |
| t = x-1; /* t has 20 trailing zeros */ |
| w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25)); |
| u = ivln2_h*t; /* ivln2_h has 21 sig. bits */ |
| v = t*ivln2_l-w*ivln2; |
| t1 = u+v; |
| SET_LOW_WORD(t1,0); |
| t2 = v-(t1-u); |
| } else { |
| double s2,s_h,s_l,t_h,t_l; |
| n = 0; |
| /* take care subnormal number */ |
| if(ix<0x00100000) |
| {ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); } |
| n += ((ix)>>20)-0x3ff; |
| j = ix&0x000fffff; |
| /* determine interval */ |
| ix = j|0x3ff00000; /* normalize ix */ |
| if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */ |
| else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */ |
| else {k=0;n+=1;ix -= 0x00100000;} |
| SET_HIGH_WORD(ax,ix); |
| /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ |
| u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ |
| v = one/(ax+bp[k]); |
| s = u*v; |
| s_h = s; |
| SET_LOW_WORD(s_h,0); |
| /* t_h=ax+bp[k] High */ |
| t_h = zero; |
| SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18)); |
| t_l = ax - (t_h-bp[k]); |
| s_l = v*((u-s_h*t_h)-s_h*t_l); |
| /* compute log(ax) */ |
| s2 = s*s; |
| r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6))))); |
| r += s_l*(s_h+s); |
| s2 = s_h*s_h; |
| t_h = 3.0+s2+r; |
| SET_LOW_WORD(t_h,0); |
| t_l = r-((t_h-3.0)-s2); |
| /* u+v = s*(1+...) */ |
| u = s_h*t_h; |
| v = s_l*t_h+t_l*s; |
| /* 2/(3log2)*(s+...) */ |
| p_h = u+v; |
| SET_LOW_WORD(p_h,0); |
| p_l = v-(p_h-u); |
| z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ |
| z_l = cp_l*p_h+p_l*cp+dp_l[k]; |
| /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ |
| t = (double)n; |
| t1 = (((z_h+z_l)+dp_h[k])+t); |
| SET_LOW_WORD(t1,0); |
| t2 = z_l-(((t1-t)-dp_h[k])-z_h); |
| } |
| s = one; /* s (sign of result -ve**odd) = -1 else = 1 */ |
| if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0) |
| s = -one;/* (-ve)**(odd int) */ |
| /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ |
| y1 = y; |
| SET_LOW_WORD(y1,0); |
| p_l = (y-y1)*t1+y*t2; |
| p_h = y1*t1; |
| z = p_l+p_h; |
| EXTRACT_WORDS(j,i,z); |
| if (j>=0x40900000) { /* z >= 1024 */ |
| if(((j-0x40900000)|i)!=0) /* if z > 1024 */ |
| return s*huge*huge; /* overflow */ |
| else { |
| if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */ |
| } |
| } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */ |
| if(((j-0xc090cc00)|i)!=0) /* z < -1075 */ |
| return s*tiny*tiny; /* underflow */ |
| else { |
| if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */ |
| } |
| } |
| /* |
| * compute 2**(p_h+p_l) |
| */ |
| i = j&0x7fffffff; |
| k = (i>>20)-0x3ff; |
| n = 0; |
| if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */ |
| n = j+(0x00100000>>(k+1)); |
| k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */ |
| t = zero; |
| SET_HIGH_WORD(t,n&~(0x000fffff>>k)); |
| n = ((n&0x000fffff)|0x00100000)>>(20-k); |
| if(j<0) n = -n; |
| p_h -= t; |
| } |
| t = p_l+p_h; |
| SET_LOW_WORD(t,0); |
| u = t*lg2_h; |
| v = (p_l-(t-p_h))*lg2+t*lg2_l; |
| z = u+v; |
| w = v-(z-u); |
| t = z*z; |
| t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); |
| r = (z*t1)/(t1-two)-(w+z*w); |
| z = one-(r-z); |
| GET_HIGH_WORD(j,z); |
| j += (n<<20); |
| if((j>>20)<=0) z = scalbn(z,n); /* subnormal output */ |
| else SET_HIGH_WORD(z,j); |
| return s*z; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_rem_pi.c |
|---|
| 0,0 → 1,159 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_rem_pio2.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_rem_pio2.c,v 1.5 1994/08/18 23:05:56 jtc Exp $"; |
| #endif |
| /* __ieee754_rem_pio2(x,y) |
| * |
| * return the remainder of x rem pi/2 in y[0]+y[1] |
| * use __kernel_rem_pio2() |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| /* |
| * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi |
| */ |
| #ifdef __STDC__ |
| static const int32_t two_over_pi[] = { |
| #else |
| static int32_t two_over_pi[] = { |
| #endif |
| 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, |
| 0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, |
| 0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, |
| 0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, |
| 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, |
| 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, |
| 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, |
| 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, |
| 0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, |
| 0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, |
| 0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, |
| }; |
| #ifdef __STDC__ |
| static const int32_t npio2_hw[] = { |
| #else |
| static int32_t npio2_hw[] = { |
| #endif |
| 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, |
| 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, |
| 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, |
| 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, |
| 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, |
| 0x404858EB, 0x404921FB, |
| }; |
| /* |
| * invpio2: 53 bits of 2/pi |
| * pio2_1: first 33 bit of pi/2 |
| * pio2_1t: pi/2 - pio2_1 |
| * pio2_2: second 33 bit of pi/2 |
| * pio2_2t: pi/2 - (pio2_1+pio2_2) |
| * pio2_3: third 33 bit of pi/2 |
| * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) |
| */ |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ |
| half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ |
| two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ |
| invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ |
| pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ |
| pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ |
| pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ |
| pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ |
| pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ |
| pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ |
| #ifdef __STDC__ |
| int32_t __ieee754_rem_pio2(double x, double *y) |
| #else |
| int32_t __ieee754_rem_pio2(x,y) |
| double x,y[]; |
| #endif |
| { |
| double z,w,t,r,fn; |
| double tx[3]; |
| int32_t e0,i,j,nx,n,ix,hx; |
| u_int32_t low; |
| GET_HIGH_WORD(hx,x); /* high word of x */ |
| ix = hx&0x7fffffff; |
| if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */ |
| {y[0] = x; y[1] = 0; return 0;} |
| if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */ |
| t = fabs(x); |
| n = (int32_t) (t*invpio2+half); |
| fn = (double)n; |
| r = t-fn*pio2_1; |
| w = fn*pio2_1t; /* 1st round good to 85 bit */ |
| if(n<32&&ix!=npio2_hw[n-1]) { |
| y[0] = r-w; /* quick check no cancellation */ |
| } else { |
| u_int32_t high; |
| j = ix>>20; |
| y[0] = r-w; |
| GET_HIGH_WORD(high,y[0]); |
| i = j-((high>>20)&0x7ff); |
| if(i>16) { /* 2nd iteration needed, good to 118 */ |
| t = r; |
| w = fn*pio2_2; |
| r = t-w; |
| w = fn*pio2_2t-((t-r)-w); |
| y[0] = r-w; |
| GET_HIGH_WORD(high,y[0]); |
| i = j-((high>>20)&0x7ff); |
| if(i>49) { /* 3rd iteration need, 151 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>=0x7ff00000) { /* x is inf or NaN */ |
| y[0]=y[1]=x-x; return 0; |
| } |
| /* set z = scalbn(|x|,ilogb(x)-23) */ |
| GET_LOW_WORD(low,x); |
| SET_LOW_WORD(z,low); |
| e0 = (ix>>20)-1046; /* e0 = ilogb(z)-23; */ |
| SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20))); |
| for(i=0;i<2;i++) { |
| tx[i] = (double)((int32_t)(z)); |
| z = (z-tx[i])*two24; |
| } |
| tx[2] = z; |
| nx = 3; |
| while(tx[nx-1]==zero) nx--; /* skip zero term */ |
| n = __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi); |
| if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;} |
| return n; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_remain.s |
|---|
| 0,0 → 1,11 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_remainder) |
| fldl 12(%esp) |
| fldl 4(%esp) |
| 1: fprem1 |
| fstsw %ax |
| sahf |
| jp 1b |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_scalb.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_scalb) |
| fldl 12(%esp) |
| fldl 4(%esp) |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/e_sinh.c |
|---|
| 0,0 → 1,87 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)e_sinh.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_sinh.c,v 1.5 1994/08/18 23:06:03 jtc Exp $"; |
| #endif |
| /* __ieee754_sinh(x) |
| * Method : |
| * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 |
| * 1. Replace x by |x| (sinh(-x) = -sinh(x)). |
| * 2. |
| * E + E/(E+1) |
| * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) |
| * 2 |
| * |
| * 22 <= x <= lnovft : sinh(x) := exp(x)/2 |
| * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) |
| * ln2ovft < x : sinh(x) := x*shuge (overflow) |
| * |
| * Special cases: |
| * sinh(x) is |x| if x is +INF, -INF, or NaN. |
| * only sinh(0)=0 is exact for finite x. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double one = 1.0, shuge = 1.0e307; |
| #else |
| static double one = 1.0, shuge = 1.0e307; |
| #endif |
| #ifdef __STDC__ |
| double __ieee754_sinh(double x) |
| #else |
| double __ieee754_sinh(x) |
| double x; |
| #endif |
| { |
| double t,w,h; |
| int32_t ix,jx; |
| u_int32_t lx; |
| /* High word of |x|. */ |
| GET_HIGH_WORD(jx,x); |
| ix = jx&0x7fffffff; |
| /* x is INF or NaN */ |
| if(ix>=0x7ff00000) 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 < 0x40360000) { /* |x|<22 */ |
| if (ix<0x3e300000) /* |x|<2**-28 */ |
| if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ |
| t = expm1(fabs(x)); |
| if(ix<0x3ff00000) return h*(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 < 0x40862E42) return h*__ieee754_exp(fabs(x)); |
| /* |x| in [log(maxdouble), overflowthresold] */ |
| GET_LOW_WORD(lx,x); |
| if (ix<0x408633CE || (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) { |
| w = __ieee754_exp(0.5*fabs(x)); |
| t = h*w; |
| return t*w; |
| } |
| /* |x| > overflowthresold, sinh(x) overflow */ |
| return x*shuge; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/e_sqrt.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_sqrt) |
| fldl 4(%esp) |
| fsqrt |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_acos.c |
|---|
| 0,0 → 1,90 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_acosf.c -- float version of e_acos.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_acosf.c,v 1.2 1994/08/18 23:04:53 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0000000000e+00, /* 0x3F800000 */ |
| pi = 3.1415925026e+00, /* 0x40490fda */ |
| pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */ |
| pio2_lo = 7.5497894159e-08, /* 0x33a22168 */ |
| pS0 = 1.6666667163e-01, /* 0x3e2aaaab */ |
| pS1 = -3.2556581497e-01, /* 0xbea6b090 */ |
| pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */ |
| pS3 = -4.0055535734e-02, /* 0xbd241146 */ |
| pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */ |
| pS5 = 3.4793309169e-05, /* 0x3811ef08 */ |
| qS1 = -2.4033949375e+00, /* 0xc019d139 */ |
| qS2 = 2.0209457874e+00, /* 0x4001572d */ |
| qS3 = -6.8828397989e-01, /* 0xbf303361 */ |
| qS4 = 7.7038154006e-02; /* 0x3d9dc62e */ |
| #ifdef __STDC__ |
| float __ieee754_acosf(float x) |
| #else |
| float __ieee754_acosf(x) |
| float x; |
| #endif |
| { |
| float z,p,q,r,w,s,c,df; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix==0x3f800000) { /* |x|==1 */ |
| if(hx>0) return 0.0; /* acos(1) = 0 */ |
| else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */ |
| } else if(ix>0x3f800000) { /* |x| >= 1 */ |
| return (x-x)/(x-x); /* acos(|x|>1) is NaN */ |
| } |
| if(ix<0x3f000000) { /* |x| < 0.5 */ |
| if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/ |
| z = x*x; |
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); |
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); |
| r = p/q; |
| return pio2_hi - (x - (pio2_lo-x*r)); |
| } else if (hx<0) { /* x < -0.5 */ |
| z = (one+x)*(float)0.5; |
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); |
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); |
| s = sqrtf(z); |
| r = p/q; |
| w = r*s-pio2_lo; |
| return pi - (float)2.0*(s+w); |
| } else { /* x > 0.5 */ |
| int32_t idf; |
| z = (one-x)*(float)0.5; |
| s = sqrtf(z); |
| df = s; |
| GET_FLOAT_WORD(idf,df); |
| SET_FLOAT_WORD(df,idf&0xfffff000); |
| c = (z-df*df)/(s+df); |
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); |
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); |
| r = p/q; |
| w = r*s+c; |
| return (float)2.0*(df+w); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_acosh.c |
|---|
| 0,0 → 1,58 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_acoshf.c -- float version of e_acosh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_acoshf.c,v 1.2 1994/08/18 23:04:57 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0, |
| ln2 = 6.9314718246e-01; /* 0x3f317218 */ |
| #ifdef __STDC__ |
| float __ieee754_acoshf(float x) |
| #else |
| float __ieee754_acoshf(x) |
| float x; |
| #endif |
| { |
| float t; |
| int32_t hx; |
| GET_FLOAT_WORD(hx,x); |
| if(hx<0x3f800000) { /* x < 1 */ |
| return (x-x)/(x-x); |
| } else if(hx >=0x4d800000) { /* x > 2**28 */ |
| if(hx >=0x7f800000) { /* x is inf of NaN */ |
| return x+x; |
| } else |
| return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */ |
| } else if (hx==0x3f800000) { |
| return 0.0; /* acosh(1) = 0 */ |
| } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ |
| t=x*x; |
| return __ieee754_logf((float)2.0*x-one/(x+sqrtf(t-one))); |
| } else { /* 1<x<2 */ |
| t = x-one; |
| return log1pf(t+sqrtf((float)2.0*t+t*t)); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_asin.c |
|---|
| 0,0 → 1,93 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_asinf.c -- float version of e_asin.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_asinf.c,v 1.2 1994/08/18 23:05:05 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0000000000e+00, /* 0x3F800000 */ |
| huge = 1.000e+30, |
| pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */ |
| pio2_lo = 7.5497894159e-08, /* 0x33a22168 */ |
| pio4_hi = 7.8539818525e-01, /* 0x3f490fdb */ |
| /* coefficient for R(x^2) */ |
| pS0 = 1.6666667163e-01, /* 0x3e2aaaab */ |
| pS1 = -3.2556581497e-01, /* 0xbea6b090 */ |
| pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */ |
| pS3 = -4.0055535734e-02, /* 0xbd241146 */ |
| pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */ |
| pS5 = 3.4793309169e-05, /* 0x3811ef08 */ |
| qS1 = -2.4033949375e+00, /* 0xc019d139 */ |
| qS2 = 2.0209457874e+00, /* 0x4001572d */ |
| qS3 = -6.8828397989e-01, /* 0xbf303361 */ |
| qS4 = 7.7038154006e-02; /* 0x3d9dc62e */ |
| #ifdef __STDC__ |
| float __ieee754_asinf(float x) |
| #else |
| float __ieee754_asinf(x) |
| float x; |
| #endif |
| { |
| float t,w,p,q,c,r,s; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix==0x3f800000) { |
| /* asin(1)=+-pi/2 with inexact */ |
| return x*pio2_hi+x*pio2_lo; |
| } else if(ix> 0x3f800000) { /* |x|>= 1 */ |
| return (x-x)/(x-x); /* asin(|x|>1) is NaN */ |
| } else if (ix<0x3f000000) { /* |x|<0.5 */ |
| if(ix<0x32000000) { /* if |x| < 2**-27 */ |
| if(huge+x>one) return x;/* return x with inexact if x!=0*/ |
| } else |
| t = x*x; |
| p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5))))); |
| q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4))); |
| w = p/q; |
| return x+x*w; |
| } |
| /* 1> |x|>= 0.5 */ |
| w = one-fabsf(x); |
| t = w*(float)0.5; |
| p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5))))); |
| q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4))); |
| s = sqrtf(t); |
| if(ix>=0x3F79999A) { /* if |x| > 0.975 */ |
| w = p/q; |
| t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo); |
| } else { |
| int32_t iw; |
| w = s; |
| GET_FLOAT_WORD(iw,w); |
| SET_FLOAT_WORD(w,iw&0xfffff000); |
| c = (t-w*w)/(s+w); |
| r = p/q; |
| p = (float)2.0*s*r-(pio2_lo-(float)2.0*c); |
| q = pio4_hi-(float)2.0*w; |
| t = pio4_hi-(p-q); |
| } |
| if(hx>0) return t; else return -t; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_atan2.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_atan2f) |
| flds 4(%esp) |
| flds 8(%esp) |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_atanh.c |
|---|
| 0,0 → 1,59 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_atanhf.c -- float version of e_atanh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_atanhf.c,v 1.2 1994/08/18 23:05:14 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float one = 1.0, huge = 1e30; |
| #else |
| static float one = 1.0, huge = 1e30; |
| #endif |
| #ifdef __STDC__ |
| static const float zero = 0.0; |
| #else |
| static float zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_atanhf(float x) |
| #else |
| float __ieee754_atanhf(x) |
| float x; |
| #endif |
| { |
| float t; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if (ix>0x3f800000) /* |x|>1 */ |
| return (x-x)/(x-x); |
| if(ix==0x3f800000) |
| return x/zero; |
| if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */ |
| SET_FLOAT_WORD(x,ix); |
| if(ix<0x3f000000) { /* x < 0.5 */ |
| t = x+x; |
| t = (float)0.5*log1pf(t+t*x/(one-x)); |
| } else |
| t = (float)0.5*log1pf((x+x)/(one-x)); |
| if(hx>=0) return t; else return -t; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_cosh.c |
|---|
| 0,0 → 1,72 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_coshf.c -- float version of e_cosh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_coshf.c,v 1.2 1994/08/18 23:05:17 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float one = 1.0, half=0.5, huge = 1.0e30; |
| #else |
| static float one = 1.0, half=0.5, huge = 1.0e30; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_coshf(float x) |
| #else |
| float __ieee754_coshf(x) |
| float x; |
| #endif |
| { |
| float t,w; |
| int32_t 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 = __ieee754_expf(fabsf(x)); |
| return half*t+half/t; |
| } |
| /* |x| in [22, log(maxdouble)] return half*exp(|x|) */ |
| if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x)); |
| /* |x| in [log(maxdouble), overflowthresold] */ |
| if (ix<=0x42b2d4fc) { |
| w = __ieee754_expf(half*fabsf(x)); |
| t = half*w; |
| return t*w; |
| } |
| /* |x| > overflowthresold, cosh(x) overflow */ |
| return huge*huge; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_exp.s |
|---|
| 0,0 → 1,14 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_expf) |
| flds 4(%esp) |
| fldl2e |
| fmulp |
| fstl %st(1) |
| frndint |
| fstl %st(2) |
| fsubrp |
| f2xm1 |
| fld1 |
| faddp |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_fmod.s |
|---|
| 0,0 → 1,11 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_fmodf) |
| flds 8(%esp) |
| flds 4(%esp) |
| 1: fprem |
| fstsw %ax |
| sahf |
| jp 1b |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_gamma.c |
|---|
| 0,0 → 1,40 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_gammaf.c -- float version of e_gamma.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_gammaf.c,v 1.1 1994/08/10 20:30:53 jtc Exp $"; |
| #endif |
| /* __ieee754_gammaf(x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call __ieee754_gammaf_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| float __ieee754_gammaf(float x) |
| #else |
| float __ieee754_gammaf(x) |
| float x; |
| #endif |
| { |
| return __ieee754_gammaf_r(x,&signgam); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_hypot.c |
|---|
| 0,0 → 1,88 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_hypotf.c -- float version of e_hypot.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_hypotf.c,v 1.2 1994/08/18 23:05:26 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float __ieee754_hypotf(float x, float y) |
| #else |
| float __ieee754_hypot(x,y) |
| float x, y; |
| #endif |
| { |
| float a=x,b=y,t1,t2,y1,y2,w; |
| int32_t j,k,ha,hb; |
| 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| */ |
| if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */ |
| k=0; |
| if(ha > 0x58800000) { /* a>2**50 */ |
| if(ha >= 0x7f800000) { /* Inf or NaN */ |
| w = a+b; /* for sNaN */ |
| if(ha == 0x7f800000) w = a; |
| if(hb == 0x7f800000) w = b; |
| return w; |
| } |
| /* scale a and b by 2**-60 */ |
| ha -= 0x5d800000; hb -= 0x5d800000; k += 60; |
| SET_FLOAT_WORD(a,ha); |
| SET_FLOAT_WORD(b,hb); |
| } |
| if(hb < 0x26800000) { /* b < 2**-50 */ |
| if(hb <= 0x007fffff) { /* subnormal b or 0 */ |
| if(hb==0) return a; |
| SET_FLOAT_WORD(t1,0x3f000000); /* t1=2^126 */ |
| b *= t1; |
| a *= t1; |
| k -= 126; |
| } else { /* scale a and b by 2^60 */ |
| ha += 0x5d800000; /* a *= 2^60 */ |
| hb += 0x5d800000; /* b *= 2^60 */ |
| k -= 60; |
| SET_FLOAT_WORD(a,ha); |
| SET_FLOAT_WORD(b,hb); |
| } |
| } |
| /* medium size a and b */ |
| w = a-b; |
| if (w>b) { |
| SET_FLOAT_WORD(t1,ha&0xfffff000); |
| t2 = a-t1; |
| w = sqrtf(t1*t1-(b*(-b)-t2*(a+t1))); |
| } else { |
| a = a+a; |
| SET_FLOAT_WORD(y1,hb&0xfffff000); |
| y2 = b - y1; |
| SET_FLOAT_WORD(t1,ha+0x00800000); |
| t2 = a - t1; |
| w = sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b))); |
| } |
| if(k!=0) { |
| SET_FLOAT_WORD(t1,0x3f800000+(k<<23)); |
| return t1*w; |
| } else return w; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_j0.c |
|---|
| 0,0 → 1,445 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_j0f.c -- float version of e_j0.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_j0f.c,v 1.2 1994/08/18 23:05:32 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static float pzerof(float), qzerof(float); |
| #else |
| static float pzerof(), qzerof(); |
| #endif |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| huge = 1e30, |
| one = 1.0, |
| invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */ |
| tpi = 6.3661974669e-01, /* 0x3f22f983 */ |
| /* R0/S0 on [0, 2.00] */ |
| R02 = 1.5625000000e-02, /* 0x3c800000 */ |
| R03 = -1.8997929874e-04, /* 0xb947352e */ |
| R04 = 1.8295404516e-06, /* 0x35f58e88 */ |
| R05 = -4.6183270541e-09, /* 0xb19eaf3c */ |
| S01 = 1.5619102865e-02, /* 0x3c7fe744 */ |
| S02 = 1.1692678527e-04, /* 0x38f53697 */ |
| S03 = 5.1354652442e-07, /* 0x3509daa6 */ |
| S04 = 1.1661400734e-09; /* 0x30a045e8 */ |
| #ifdef __STDC__ |
| static const float zero = 0.0; |
| #else |
| static float zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_j0f(float x) |
| #else |
| float __ieee754_j0f(x) |
| float x; |
| #endif |
| { |
| float z, s,c,ss,cc,r,u,v; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) return one/(x*x); |
| x = fabsf(x); |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sinf(x); |
| c = cosf(x); |
| ss = s-c; |
| cc = s+c; |
| if(ix<0x7f000000) { /* make sure x+x not overflow */ |
| z = -cosf(x+x); |
| if ((s*c)<zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* |
| * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
| * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
| */ |
| if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(x); |
| else { |
| u = pzerof(x); v = qzerof(x); |
| z = invsqrtpi*(u*cc-v*ss)/sqrtf(x); |
| } |
| return z; |
| } |
| if(ix<0x39000000) { /* |x| < 2**-13 */ |
| if(huge+x>one) { /* raise inexact if x != 0 */ |
| if(ix<0x32000000) return one; /* |x|<2**-27 */ |
| else return one - (float)0.25*x*x; |
| } |
| } |
| z = x*x; |
| r = z*(R02+z*(R03+z*(R04+z*R05))); |
| s = one+z*(S01+z*(S02+z*(S03+z*S04))); |
| if(ix < 0x3F800000) { /* |x| < 1.00 */ |
| return one + z*((float)-0.25+(r/s)); |
| } else { |
| u = (float)0.5*x; |
| return((one+u)*(one-u)+z*(r/s)); |
| } |
| } |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| u00 = -7.3804296553e-02, /* 0xbd9726b5 */ |
| u01 = 1.7666645348e-01, /* 0x3e34e80d */ |
| u02 = -1.3818567619e-02, /* 0xbc626746 */ |
| u03 = 3.4745343146e-04, /* 0x39b62a69 */ |
| u04 = -3.8140706238e-06, /* 0xb67ff53c */ |
| u05 = 1.9559013964e-08, /* 0x32a802ba */ |
| u06 = -3.9820518410e-11, /* 0xae2f21eb */ |
| v01 = 1.2730483897e-02, /* 0x3c509385 */ |
| v02 = 7.6006865129e-05, /* 0x389f65e0 */ |
| v03 = 2.5915085189e-07, /* 0x348b216c */ |
| v04 = 4.4111031494e-10; /* 0x2ff280c2 */ |
| #ifdef __STDC__ |
| float __ieee754_y0f(float x) |
| #else |
| float __ieee754_y0f(x) |
| float x; |
| #endif |
| { |
| float z, s,c,ss,cc,u,v; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = 0x7fffffff&hx; |
| /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ |
| if(ix>=0x7f800000) return one/(x+x*x); |
| if(ix==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0)) |
| * where x0 = x-pi/4 |
| * Better formula: |
| * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4) |
| * = 1/sqrt(2) * (sin(x) + cos(x)) |
| * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one. |
| */ |
| s = sinf(x); |
| c = cosf(x); |
| ss = s-c; |
| cc = s+c; |
| /* |
| * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
| * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
| */ |
| if(ix<0x7f000000) { /* make sure x+x not overflow */ |
| z = -cosf(x+x); |
| if ((s*c)<zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| if(ix>0x80000000) z = (invsqrtpi*ss)/sqrtf(x); |
| else { |
| u = pzerof(x); v = qzerof(x); |
| z = invsqrtpi*(u*ss+v*cc)/sqrtf(x); |
| } |
| return z; |
| } |
| if(ix<=0x32000000) { /* x < 2**-27 */ |
| return(u00 + tpi*__ieee754_logf(x)); |
| } |
| z = x*x; |
| u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06))))); |
| v = one+z*(v01+z*(v02+z*(v03+z*v04))); |
| return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x))); |
| } |
| /* The asymptotic expansions of pzero is |
| * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x. |
| * For x >= 2, We approximate pzero by |
| * pzero(x) = 1 + (R/S) |
| * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10 |
| * S = 1 + pS0*s^2 + ... + pS4*s^10 |
| * and |
| * | pzero(x)-1-R/S | <= 2 ** ( -60.26) |
| */ |
| #ifdef __STDC__ |
| static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.0000000000e+00, /* 0x00000000 */ |
| -7.0312500000e-02, /* 0xbd900000 */ |
| -8.0816707611e+00, /* 0xc1014e86 */ |
| -2.5706311035e+02, /* 0xc3808814 */ |
| -2.4852163086e+03, /* 0xc51b5376 */ |
| -5.2530439453e+03, /* 0xc5a4285a */ |
| }; |
| #ifdef __STDC__ |
| static const float pS8[5] = { |
| #else |
| static float pS8[5] = { |
| #endif |
| 1.1653436279e+02, /* 0x42e91198 */ |
| 3.8337448730e+03, /* 0x456f9beb */ |
| 4.0597855469e+04, /* 0x471e95db */ |
| 1.1675296875e+05, /* 0x47e4087c */ |
| 4.7627726562e+04, /* 0x473a0bba */ |
| }; |
| #ifdef __STDC__ |
| static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| -1.1412546255e-11, /* 0xad48c58a */ |
| -7.0312492549e-02, /* 0xbd8fffff */ |
| -4.1596107483e+00, /* 0xc0851b88 */ |
| -6.7674766541e+01, /* 0xc287597b */ |
| -3.3123129272e+02, /* 0xc3a59d9b */ |
| -3.4643338013e+02, /* 0xc3ad3779 */ |
| }; |
| #ifdef __STDC__ |
| static const float pS5[5] = { |
| #else |
| static float pS5[5] = { |
| #endif |
| 6.0753936768e+01, /* 0x42730408 */ |
| 1.0512523193e+03, /* 0x44836813 */ |
| 5.9789707031e+03, /* 0x45bad7c4 */ |
| 9.6254453125e+03, /* 0x461665c8 */ |
| 2.4060581055e+03, /* 0x451660ee */ |
| }; |
| #ifdef __STDC__ |
| static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #else |
| static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| -2.5470459075e-09, /* 0xb12f081b */ |
| -7.0311963558e-02, /* 0xbd8fffb8 */ |
| -2.4090321064e+00, /* 0xc01a2d95 */ |
| -2.1965976715e+01, /* 0xc1afba52 */ |
| -5.8079170227e+01, /* 0xc2685112 */ |
| -3.1447946548e+01, /* 0xc1fb9565 */ |
| }; |
| #ifdef __STDC__ |
| static const float pS3[5] = { |
| #else |
| static float pS3[5] = { |
| #endif |
| 3.5856033325e+01, /* 0x420f6c94 */ |
| 3.6151397705e+02, /* 0x43b4c1ca */ |
| 1.1936077881e+03, /* 0x44953373 */ |
| 1.1279968262e+03, /* 0x448cffe6 */ |
| 1.7358093262e+02, /* 0x432d94b8 */ |
| }; |
| #ifdef __STDC__ |
| static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| -8.8753431271e-08, /* 0xb3be98b7 */ |
| -7.0303097367e-02, /* 0xbd8ffb12 */ |
| -1.4507384300e+00, /* 0xbfb9b1cc */ |
| -7.6356959343e+00, /* 0xc0f4579f */ |
| -1.1193166733e+01, /* 0xc1331736 */ |
| -3.2336456776e+00, /* 0xc04ef40d */ |
| }; |
| #ifdef __STDC__ |
| static const float pS2[5] = { |
| #else |
| static float pS2[5] = { |
| #endif |
| 2.2220300674e+01, /* 0x41b1c32d */ |
| 1.3620678711e+02, /* 0x430834f0 */ |
| 2.7047027588e+02, /* 0x43873c32 */ |
| 1.5387539673e+02, /* 0x4319e01a */ |
| 1.4657617569e+01, /* 0x416a859a */ |
| }; |
| #ifdef __STDC__ |
| static float pzerof(float x) |
| #else |
| static float pzerof(x) |
| float x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const float *p,*q; |
| #else |
| float *p,*q; |
| #endif |
| float z,r,s; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x41000000) {p = pR8; q= pS8;} |
| else if(ix>=0x40f71c58){p = pR5; q= pS5;} |
| else if(ix>=0x4036db68){p = pR3; q= pS3;} |
| else if(ix>=0x40000000){p = pR2; q= pS2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); |
| return one+ r/s; |
| } |
| /* For x >= 8, the asymptotic expansions of qzero is |
| * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. |
| * We approximate pzero by |
| * qzero(x) = s*(-1.25 + (R/S)) |
| * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10 |
| * S = 1 + qS0*s^2 + ... + qS5*s^12 |
| * and |
| * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22) |
| */ |
| #ifdef __STDC__ |
| static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.0000000000e+00, /* 0x00000000 */ |
| 7.3242187500e-02, /* 0x3d960000 */ |
| 1.1768206596e+01, /* 0x413c4a93 */ |
| 5.5767340088e+02, /* 0x440b6b19 */ |
| 8.8591972656e+03, /* 0x460a6cca */ |
| 3.7014625000e+04, /* 0x471096a0 */ |
| }; |
| #ifdef __STDC__ |
| static const float qS8[6] = { |
| #else |
| static float qS8[6] = { |
| #endif |
| 1.6377603149e+02, /* 0x4323c6aa */ |
| 8.0983447266e+03, /* 0x45fd12c2 */ |
| 1.4253829688e+05, /* 0x480b3293 */ |
| 8.0330925000e+05, /* 0x49441ed4 */ |
| 8.4050156250e+05, /* 0x494d3359 */ |
| -3.4389928125e+05, /* 0xc8a7eb69 */ |
| }; |
| #ifdef __STDC__ |
| static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| 1.8408595828e-11, /* 0x2da1ec79 */ |
| 7.3242180049e-02, /* 0x3d95ffff */ |
| 5.8356351852e+00, /* 0x40babd86 */ |
| 1.3511157227e+02, /* 0x43071c90 */ |
| 1.0272437744e+03, /* 0x448067cd */ |
| 1.9899779053e+03, /* 0x44f8bf4b */ |
| }; |
| #ifdef __STDC__ |
| static const float qS5[6] = { |
| #else |
| static float qS5[6] = { |
| #endif |
| 8.2776611328e+01, /* 0x42a58da0 */ |
| 2.0778142090e+03, /* 0x4501dd07 */ |
| 1.8847289062e+04, /* 0x46933e94 */ |
| 5.6751113281e+04, /* 0x475daf1d */ |
| 3.5976753906e+04, /* 0x470c88c1 */ |
| -5.3543427734e+03, /* 0xc5a752be */ |
| }; |
| #ifdef __STDC__ |
| static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #else |
| static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| 4.3774099900e-09, /* 0x3196681b */ |
| 7.3241114616e-02, /* 0x3d95ff70 */ |
| 3.3442313671e+00, /* 0x405607e3 */ |
| 4.2621845245e+01, /* 0x422a7cc5 */ |
| 1.7080809021e+02, /* 0x432acedf */ |
| 1.6673394775e+02, /* 0x4326bbe4 */ |
| }; |
| #ifdef __STDC__ |
| static const float qS3[6] = { |
| #else |
| static float qS3[6] = { |
| #endif |
| 4.8758872986e+01, /* 0x42430916 */ |
| 7.0968920898e+02, /* 0x44316c1c */ |
| 3.7041481934e+03, /* 0x4567825f */ |
| 6.4604252930e+03, /* 0x45c9e367 */ |
| 2.5163337402e+03, /* 0x451d4557 */ |
| -1.4924745178e+02, /* 0xc3153f59 */ |
| }; |
| #ifdef __STDC__ |
| static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| 1.5044444979e-07, /* 0x342189db */ |
| 7.3223426938e-02, /* 0x3d95f62a */ |
| 1.9981917143e+00, /* 0x3fffc4bf */ |
| 1.4495602608e+01, /* 0x4167edfd */ |
| 3.1666231155e+01, /* 0x41fd5471 */ |
| 1.6252708435e+01, /* 0x4182058c */ |
| }; |
| #ifdef __STDC__ |
| static const float qS2[6] = { |
| #else |
| static float qS2[6] = { |
| #endif |
| 3.0365585327e+01, /* 0x41f2ecb8 */ |
| 2.6934811401e+02, /* 0x4386ac8f */ |
| 8.4478375244e+02, /* 0x44533229 */ |
| 8.8293585205e+02, /* 0x445cbbe5 */ |
| 2.1266638184e+02, /* 0x4354aa98 */ |
| -5.3109550476e+00, /* 0xc0a9f358 */ |
| }; |
| #ifdef __STDC__ |
| static float qzerof(float x) |
| #else |
| static float qzerof(x) |
| float x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const float *p,*q; |
| #else |
| float *p,*q; |
| #endif |
| float s,r,z; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x41000000) {p = qR8; q= qS8;} |
| else if(ix>=0x40f71c58){p = qR5; q= qS5;} |
| else if(ix>=0x4036db68){p = qR3; q= qS3;} |
| else if(ix>=0x40000000){p = qR2; q= qS2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); |
| return (-(float).125 + r/s)/x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_j1.c |
|---|
| 0,0 → 1,445 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_j1f.c -- float version of e_j1.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_j1f.c,v 1.2 1994/08/18 23:05:35 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static float ponef(float), qonef(float); |
| #else |
| static float ponef(), qonef(); |
| #endif |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| huge = 1e30, |
| one = 1.0, |
| invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */ |
| tpi = 6.3661974669e-01, /* 0x3f22f983 */ |
| /* R0/S0 on [0,2] */ |
| r00 = -6.2500000000e-02, /* 0xbd800000 */ |
| r01 = 1.4070566976e-03, /* 0x3ab86cfd */ |
| r02 = -1.5995563444e-05, /* 0xb7862e36 */ |
| r03 = 4.9672799207e-08, /* 0x335557d2 */ |
| s01 = 1.9153760746e-02, /* 0x3c9ce859 */ |
| s02 = 1.8594678841e-04, /* 0x3942fab6 */ |
| s03 = 1.1771846857e-06, /* 0x359dffc2 */ |
| s04 = 5.0463624390e-09, /* 0x31ad6446 */ |
| s05 = 1.2354227016e-11; /* 0x2d59567e */ |
| #ifdef __STDC__ |
| static const float zero = 0.0; |
| #else |
| static float zero = 0.0; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_j1f(float x) |
| #else |
| float __ieee754_j1f(x) |
| float x; |
| #endif |
| { |
| float z, s,c,ss,cc,r,u,v,y; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) return one/x; |
| y = fabsf(x); |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sinf(y); |
| c = cosf(y); |
| ss = -s-c; |
| cc = s-c; |
| if(ix<0x7f000000) { /* make sure y+y not overflow */ |
| z = cosf(y+y); |
| if ((s*c)>zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* |
| * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x) |
| * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x) |
| */ |
| if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(y); |
| else { |
| u = ponef(y); v = qonef(y); |
| z = invsqrtpi*(u*cc-v*ss)/sqrtf(y); |
| } |
| if(hx<0) return -z; |
| else return z; |
| } |
| if(ix<0x32000000) { /* |x|<2**-27 */ |
| if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */ |
| } |
| z = x*x; |
| r = z*(r00+z*(r01+z*(r02+z*r03))); |
| s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05)))); |
| r *= x; |
| return(x*(float)0.5+r/s); |
| } |
| #ifdef __STDC__ |
| static const float U0[5] = { |
| #else |
| static float U0[5] = { |
| #endif |
| -1.9605709612e-01, /* 0xbe48c331 */ |
| 5.0443872809e-02, /* 0x3d4e9e3c */ |
| -1.9125689287e-03, /* 0xbafaaf2a */ |
| 2.3525259166e-05, /* 0x37c5581c */ |
| -9.1909917899e-08, /* 0xb3c56003 */ |
| }; |
| #ifdef __STDC__ |
| static const float V0[5] = { |
| #else |
| static float V0[5] = { |
| #endif |
| 1.9916731864e-02, /* 0x3ca3286a */ |
| 2.0255257550e-04, /* 0x3954644b */ |
| 1.3560879779e-06, /* 0x35b602d4 */ |
| 6.2274145840e-09, /* 0x31d5f8eb */ |
| 1.6655924903e-11, /* 0x2d9281cf */ |
| }; |
| #ifdef __STDC__ |
| float __ieee754_y1f(float x) |
| #else |
| float __ieee754_y1f(x) |
| float x; |
| #endif |
| { |
| float z, s,c,ss,cc,u,v; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = 0x7fffffff&hx; |
| /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */ |
| if(ix>=0x7f800000) return one/(x+x*x); |
| if(ix==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| if(ix >= 0x40000000) { /* |x| >= 2.0 */ |
| s = sinf(x); |
| c = cosf(x); |
| ss = -s-c; |
| cc = s-c; |
| if(ix<0x7f000000) { /* make sure x+x not overflow */ |
| z = cosf(x+x); |
| if ((s*c)>zero) cc = z/ss; |
| else ss = z/cc; |
| } |
| /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0)) |
| * where x0 = x-3pi/4 |
| * Better formula: |
| * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4) |
| * = 1/sqrt(2) * (sin(x) - cos(x)) |
| * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) |
| * = -1/sqrt(2) * (cos(x) + sin(x)) |
| * To avoid cancellation, use |
| * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) |
| * to compute the worse one. |
| */ |
| if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x); |
| else { |
| u = ponef(x); v = qonef(x); |
| z = invsqrtpi*(u*ss+v*cc)/sqrtf(x); |
| } |
| return z; |
| } |
| if(ix<=0x24800000) { /* x < 2**-54 */ |
| return(-tpi/x); |
| } |
| z = x*x; |
| u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4]))); |
| v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4])))); |
| return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x)); |
| } |
| /* For x >= 8, the asymptotic expansions of pone is |
| * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x. |
| * We approximate pone by |
| * pone(x) = 1 + (R/S) |
| * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10 |
| * S = 1 + ps0*s^2 + ... + ps4*s^10 |
| * and |
| * | pone(x)-1-R/S | <= 2 ** ( -60.06) |
| */ |
| #ifdef __STDC__ |
| static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.0000000000e+00, /* 0x00000000 */ |
| 1.1718750000e-01, /* 0x3df00000 */ |
| 1.3239480972e+01, /* 0x4153d4ea */ |
| 4.1205184937e+02, /* 0x43ce06a3 */ |
| 3.8747453613e+03, /* 0x45722bed */ |
| 7.9144794922e+03, /* 0x45f753d6 */ |
| }; |
| #ifdef __STDC__ |
| static const float ps8[5] = { |
| #else |
| static float ps8[5] = { |
| #endif |
| 1.1420736694e+02, /* 0x42e46a2c */ |
| 3.6509309082e+03, /* 0x45642ee5 */ |
| 3.6956207031e+04, /* 0x47105c35 */ |
| 9.7602796875e+04, /* 0x47bea166 */ |
| 3.0804271484e+04, /* 0x46f0a88b */ |
| }; |
| #ifdef __STDC__ |
| static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| 1.3199052094e-11, /* 0x2d68333f */ |
| 1.1718749255e-01, /* 0x3defffff */ |
| 6.8027510643e+00, /* 0x40d9b023 */ |
| 1.0830818176e+02, /* 0x42d89dca */ |
| 5.1763616943e+02, /* 0x440168b7 */ |
| 5.2871520996e+02, /* 0x44042dc6 */ |
| }; |
| #ifdef __STDC__ |
| static const float ps5[5] = { |
| #else |
| static float ps5[5] = { |
| #endif |
| 5.9280597687e+01, /* 0x426d1f55 */ |
| 9.9140142822e+02, /* 0x4477d9b1 */ |
| 5.3532670898e+03, /* 0x45a74a23 */ |
| 7.8446904297e+03, /* 0x45f52586 */ |
| 1.5040468750e+03, /* 0x44bc0180 */ |
| }; |
| #ifdef __STDC__ |
| static const float pr3[6] = { |
| #else |
| static float pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| 3.0250391081e-09, /* 0x314fe10d */ |
| 1.1718686670e-01, /* 0x3defffab */ |
| 3.9329774380e+00, /* 0x407bb5e7 */ |
| 3.5119403839e+01, /* 0x420c7a45 */ |
| 9.1055007935e+01, /* 0x42b61c2a */ |
| 4.8559066772e+01, /* 0x42423c7c */ |
| }; |
| #ifdef __STDC__ |
| static const float ps3[5] = { |
| #else |
| static float ps3[5] = { |
| #endif |
| 3.4791309357e+01, /* 0x420b2a4d */ |
| 3.3676245117e+02, /* 0x43a86198 */ |
| 1.0468714600e+03, /* 0x4482dbe3 */ |
| 8.9081134033e+02, /* 0x445eb3ed */ |
| 1.0378793335e+02, /* 0x42cf936c */ |
| }; |
| #ifdef __STDC__ |
| static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| 1.0771083225e-07, /* 0x33e74ea8 */ |
| 1.1717621982e-01, /* 0x3deffa16 */ |
| 2.3685150146e+00, /* 0x401795c0 */ |
| 1.2242610931e+01, /* 0x4143e1bc */ |
| 1.7693971634e+01, /* 0x418d8d41 */ |
| 5.0735230446e+00, /* 0x40a25a4d */ |
| }; |
| #ifdef __STDC__ |
| static const float ps2[5] = { |
| #else |
| static float ps2[5] = { |
| #endif |
| 2.1436485291e+01, /* 0x41ab7dec */ |
| 1.2529022980e+02, /* 0x42fa9499 */ |
| 2.3227647400e+02, /* 0x436846c7 */ |
| 1.1767937469e+02, /* 0x42eb5bd7 */ |
| 8.3646392822e+00, /* 0x4105d590 */ |
| }; |
| #ifdef __STDC__ |
| static float ponef(float x) |
| #else |
| static float ponef(x) |
| float x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const float *p,*q; |
| #else |
| float *p,*q; |
| #endif |
| float z,r,s; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x41000000) {p = pr8; q= ps8;} |
| else if(ix>=0x40f71c58){p = pr5; q= ps5;} |
| else if(ix>=0x4036db68){p = pr3; q= ps3;} |
| else if(ix>=0x40000000){p = pr2; q= ps2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); |
| return one+ r/s; |
| } |
| /* For x >= 8, the asymptotic expansions of qone is |
| * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. |
| * We approximate pone by |
| * qone(x) = s*(0.375 + (R/S)) |
| * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10 |
| * S = 1 + qs1*s^2 + ... + qs6*s^12 |
| * and |
| * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13) |
| */ |
| #ifdef __STDC__ |
| static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #else |
| static float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
| #endif |
| 0.0000000000e+00, /* 0x00000000 */ |
| -1.0253906250e-01, /* 0xbdd20000 */ |
| -1.6271753311e+01, /* 0xc1822c8d */ |
| -7.5960174561e+02, /* 0xc43de683 */ |
| -1.1849806641e+04, /* 0xc639273a */ |
| -4.8438511719e+04, /* 0xc73d3683 */ |
| }; |
| #ifdef __STDC__ |
| static const float qs8[6] = { |
| #else |
| static float qs8[6] = { |
| #endif |
| 1.6139537048e+02, /* 0x43216537 */ |
| 7.8253862305e+03, /* 0x45f48b17 */ |
| 1.3387534375e+05, /* 0x4802bcd6 */ |
| 7.1965775000e+05, /* 0x492fb29c */ |
| 6.6660125000e+05, /* 0x4922be94 */ |
| -2.9449025000e+05, /* 0xc88fcb48 */ |
| }; |
| #ifdef __STDC__ |
| static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #else |
| static float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
| #endif |
| -2.0897993405e-11, /* 0xadb7d219 */ |
| -1.0253904760e-01, /* 0xbdd1fffe */ |
| -8.0564479828e+00, /* 0xc100e736 */ |
| -1.8366960144e+02, /* 0xc337ab6b */ |
| -1.3731937256e+03, /* 0xc4aba633 */ |
| -2.6124443359e+03, /* 0xc523471c */ |
| }; |
| #ifdef __STDC__ |
| static const float qs5[6] = { |
| #else |
| static float qs5[6] = { |
| #endif |
| 8.1276550293e+01, /* 0x42a28d98 */ |
| 1.9917987061e+03, /* 0x44f8f98f */ |
| 1.7468484375e+04, /* 0x468878f8 */ |
| 4.9851425781e+04, /* 0x4742bb6d */ |
| 2.7948074219e+04, /* 0x46da5826 */ |
| -4.7191835938e+03, /* 0xc5937978 */ |
| }; |
| #ifdef __STDC__ |
| static const float qr3[6] = { |
| #else |
| static float qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
| #endif |
| -5.0783124372e-09, /* 0xb1ae7d4f */ |
| -1.0253783315e-01, /* 0xbdd1ff5b */ |
| -4.6101160049e+00, /* 0xc0938612 */ |
| -5.7847221375e+01, /* 0xc267638e */ |
| -2.2824453735e+02, /* 0xc3643e9a */ |
| -2.1921012878e+02, /* 0xc35b35cb */ |
| }; |
| #ifdef __STDC__ |
| static const float qs3[6] = { |
| #else |
| static float qs3[6] = { |
| #endif |
| 4.7665153503e+01, /* 0x423ea91e */ |
| 6.7386511230e+02, /* 0x4428775e */ |
| 3.3801528320e+03, /* 0x45534272 */ |
| 5.5477290039e+03, /* 0x45ad5dd5 */ |
| 1.9031191406e+03, /* 0x44ede3d0 */ |
| -1.3520118713e+02, /* 0xc3073381 */ |
| }; |
| #ifdef __STDC__ |
| static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #else |
| static float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
| #endif |
| -1.7838172539e-07, /* 0xb43f8932 */ |
| -1.0251704603e-01, /* 0xbdd1f475 */ |
| -2.7522056103e+00, /* 0xc0302423 */ |
| -1.9663616180e+01, /* 0xc19d4f16 */ |
| -4.2325313568e+01, /* 0xc2294d1f */ |
| -2.1371921539e+01, /* 0xc1aaf9b2 */ |
| }; |
| #ifdef __STDC__ |
| static const float qs2[6] = { |
| #else |
| static float qs2[6] = { |
| #endif |
| 2.9533363342e+01, /* 0x41ec4454 */ |
| 2.5298155212e+02, /* 0x437cfb47 */ |
| 7.5750280762e+02, /* 0x443d602e */ |
| 7.3939318848e+02, /* 0x4438d92a */ |
| 1.5594900513e+02, /* 0x431bf2f2 */ |
| -4.9594988823e+00, /* 0xc09eb437 */ |
| }; |
| #ifdef __STDC__ |
| static float qonef(float x) |
| #else |
| static float qonef(x) |
| float x; |
| #endif |
| { |
| #ifdef __STDC__ |
| const float *p,*q; |
| #else |
| float *p,*q; |
| #endif |
| float s,r,z; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix>=0x40200000) {p = qr8; q= qs8;} |
| else if(ix>=0x40f71c58){p = qr5; q= qs5;} |
| else if(ix>=0x4036db68){p = qr3; q= qs3;} |
| else if(ix>=0x40000000){p = qr2; q= qs2;} |
| z = one/(x*x); |
| r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); |
| s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); |
| return ((float).375 + r/s)/x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_jn.c |
|---|
| 0,0 → 1,213 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_jnf.c -- float version of e_jn.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_jnf.c,v 1.2 1994/08/18 23:05:39 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */ |
| two = 2.0000000000e+00, /* 0x40000000 */ |
| one = 1.0000000000e+00; /* 0x3F800000 */ |
| #ifdef __STDC__ |
| static const float zero = 0.0000000000e+00; |
| #else |
| static float zero = 0.0000000000e+00; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_jnf(int n, float x) |
| #else |
| float __ieee754_jnf(n,x) |
| int n; float x; |
| #endif |
| { |
| int32_t i,hx,ix, sgn; |
| float a, b, temp, di; |
| float z, w; |
| /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x) |
| * Thus, J(-n,x) = J(n,-x) |
| */ |
| GET_FLOAT_WORD(hx,x); |
| ix = 0x7fffffff&hx; |
| /* if J(n,NaN) is NaN */ |
| if(ix>0x7f800000) return x+x; |
| if(n<0){ |
| n = -n; |
| x = -x; |
| hx ^= 0x80000000; |
| } |
| if(n==0) return(__ieee754_j0f(x)); |
| if(n==1) return(__ieee754_j1f(x)); |
| sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */ |
| x = fabsf(x); |
| if(ix==0||ix>=0x7f800000) /* if x is 0 or inf */ |
| b = zero; |
| else if((float)n<=x) { |
| /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */ |
| a = __ieee754_j0f(x); |
| b = __ieee754_j1f(x); |
| for(i=1;i<n;i++){ |
| temp = b; |
| b = b*((float)(i+i)/x) - a; /* avoid underflow */ |
| a = temp; |
| } |
| } else { |
| if(ix<0x30800000) { /* x < 2**-29 */ |
| /* x is tiny, return the first Taylor expansion of J(n,x) |
| * J(n,x) = 1/n!*(x/2)^n - ... |
| */ |
| if(n>33) /* underflow */ |
| b = zero; |
| else { |
| temp = x*(float)0.5; b = temp; |
| for (a=one,i=2;i<=n;i++) { |
| a *= (float)i; /* a = n! */ |
| b *= temp; /* b = (x/2)^n */ |
| } |
| b = b/a; |
| } |
| } else { |
| /* use backward recurrence */ |
| /* x x^2 x^2 |
| * J(n,x)/J(n-1,x) = ---- ------ ------ ..... |
| * 2n - 2(n+1) - 2(n+2) |
| * |
| * 1 1 1 |
| * (for large x) = ---- ------ ------ ..... |
| * 2n 2(n+1) 2(n+2) |
| * -- - ------ - ------ - |
| * x x x |
| * |
| * Let w = 2n/x and h=2/x, then the above quotient |
| * is equal to the continued fraction: |
| * 1 |
| * = ----------------------- |
| * 1 |
| * w - ----------------- |
| * 1 |
| * w+h - --------- |
| * w+2h - ... |
| * |
| * To determine how many terms needed, let |
| * Q(0) = w, Q(1) = w(w+h) - 1, |
| * Q(k) = (w+k*h)*Q(k-1) - Q(k-2), |
| * When Q(k) > 1e4 good for single |
| * When Q(k) > 1e9 good for double |
| * When Q(k) > 1e17 good for quadruple |
| */ |
| /* determine k */ |
| float t,v; |
| float q0,q1,h,tmp; int32_t k,m; |
| w = (n+n)/(float)x; h = (float)2.0/(float)x; |
| q0 = w; z = w+h; q1 = w*z - (float)1.0; k=1; |
| while(q1<(float)1.0e9) { |
| k += 1; z += h; |
| tmp = z*q1 - q0; |
| q0 = q1; |
| q1 = tmp; |
| } |
| m = n+n; |
| for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t); |
| a = t; |
| b = one; |
| /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n) |
| * Hence, if n*(log(2n/x)) > ... |
| * single 8.8722839355e+01 |
| * double 7.09782712893383973096e+02 |
| * long double 1.1356523406294143949491931077970765006170e+04 |
| * then recurrent value may overflow and the result is |
| * likely underflow to zero |
| */ |
| tmp = n; |
| v = two/x; |
| tmp = tmp*__ieee754_logf(fabsf(v*tmp)); |
| if(tmp<(float)8.8721679688e+01) { |
| for(i=n-1,di=(float)(i+i);i>0;i--){ |
| temp = b; |
| b *= di; |
| b = b/x - a; |
| a = temp; |
| di -= two; |
| } |
| } else { |
| for(i=n-1,di=(float)(i+i);i>0;i--){ |
| temp = b; |
| b *= di; |
| b = b/x - a; |
| a = temp; |
| di -= two; |
| /* scale b to avoid spurious overflow */ |
| if(b>(float)1e10) { |
| a /= b; |
| t /= b; |
| b = one; |
| } |
| } |
| } |
| b = (t*__ieee754_j0f(x)/b); |
| } |
| } |
| if(sgn==1) return -b; else return b; |
| } |
| #ifdef __STDC__ |
| float __ieee754_ynf(int n, float x) |
| #else |
| float __ieee754_ynf(n,x) |
| int n; float x; |
| #endif |
| { |
| int32_t i,hx,ix,ib; |
| int32_t sign; |
| float a, b, temp; |
| GET_FLOAT_WORD(hx,x); |
| ix = 0x7fffffff&hx; |
| /* if Y(n,NaN) is NaN */ |
| if(ix>0x7f800000) return x+x; |
| if(ix==0) return -one/zero; |
| if(hx<0) return zero/zero; |
| sign = 1; |
| if(n<0){ |
| n = -n; |
| sign = 1 - ((n&1)<<2); |
| } |
| if(n==0) return(__ieee754_y0f(x)); |
| if(n==1) return(sign*__ieee754_y1f(x)); |
| if(ix==0x7f800000) return zero; |
| a = __ieee754_y0f(x); |
| b = __ieee754_y1f(x); |
| /* quit if b is -inf */ |
| GET_FLOAT_WORD(ib,b); |
| for(i=1;i<n&&ib!=0xff800000;i++){ |
| temp = b; |
| b = ((float)(i+i)/x)*b - a; |
| GET_FLOAT_WORD(ib,b); |
| a = temp; |
| } |
| if(sign>0) return b; else return -b; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_lgamm.c |
|---|
| 0,0 → 1,40 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_lgammaf.c -- float version of e_lgamma.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_lgammaf.c,v 1.1 1994/08/10 20:31:08 jtc Exp $"; |
| #endif |
| /* __ieee754_lgammaf(x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call __ieee754_lgammaf_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| float __ieee754_lgammaf(float x) |
| #else |
| float __ieee754_lgammaf(x) |
| float x; |
| #endif |
| { |
| return __ieee754_lgammaf_r(x,&signgam); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_log.s |
|---|
| 0,0 → 1,7 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_logf) |
| fldln2 |
| flds 4(%esp) |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_log10.s |
|---|
| 0,0 → 1,7 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_log10f) |
| .globl __ieee754_log10f |
| fldlg2 |
| flds 4(%esp) |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_pow.c |
|---|
| 0,0 → 1,254 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_powf.c -- float version of e_pow.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_powf.c,v 1.2 1994/08/18 23:05:54 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| bp[] = {1.0, 1.5,}, |
| dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */ |
| dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */ |
| zero = 0.0, |
| one = 1.0, |
| two = 2.0, |
| two24 = 16777216.0, /* 0x4b800000 */ |
| huge = 1.0e30, |
| tiny = 1.0e-30, |
| /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ |
| L1 = 6.0000002384e-01, /* 0x3f19999a */ |
| L2 = 4.2857143283e-01, /* 0x3edb6db7 */ |
| L3 = 3.3333334327e-01, /* 0x3eaaaaab */ |
| L4 = 2.7272811532e-01, /* 0x3e8ba305 */ |
| L5 = 2.3066075146e-01, /* 0x3e6c3255 */ |
| L6 = 2.0697501302e-01, /* 0x3e53f142 */ |
| P1 = 1.6666667163e-01, /* 0x3e2aaaab */ |
| P2 = -2.7777778450e-03, /* 0xbb360b61 */ |
| P3 = 6.6137559770e-05, /* 0x388ab355 */ |
| P4 = -1.6533901999e-06, /* 0xb5ddea0e */ |
| P5 = 4.1381369442e-08, /* 0x3331bb4c */ |
| lg2 = 6.9314718246e-01, /* 0x3f317218 */ |
| lg2_h = 6.93145752e-01, /* 0x3f317200 */ |
| lg2_l = 1.42860654e-06, /* 0x35bfbe8c */ |
| ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */ |
| cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */ |
| cp_h = 9.6179199219e-01, /* 0x3f763800 =head of cp */ |
| cp_l = 4.7017383622e-06, /* 0x369dc3a0 =tail of cp_h */ |
| ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */ |
| ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/ |
| ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ |
| #ifdef __STDC__ |
| float __ieee754_powf(float x, float y) |
| #else |
| float __ieee754_powf(x,y) |
| float x, y; |
| #endif |
| { |
| float z,ax,z_h,z_l,p_h,p_l; |
| float y1,t1,t2,r,s,t,u,v,w; |
| int32_t i,j,k,yisint,n; |
| int32_t hx,hy,ix,iy,is; |
| GET_FLOAT_WORD(hx,x); |
| GET_FLOAT_WORD(hy,y); |
| ix = hx&0x7fffffff; iy = hy&0x7fffffff; |
| /* y==zero: x**0 = 1 */ |
| if(iy==0) return one; |
| /* +-NaN return x+y */ |
| if(ix > 0x7f800000 || |
| iy > 0x7f800000) |
| return x+y; |
| /* determine if y is an odd int when x < 0 |
| * yisint = 0 ... y is not an integer |
| * yisint = 1 ... y is an odd int |
| * yisint = 2 ... y is an even int |
| */ |
| yisint = 0; |
| if(hx<0) { |
| if(iy>=0x4b800000) yisint = 2; /* even integer y */ |
| else if(iy>=0x3f800000) { |
| k = (iy>>23)-0x7f; /* exponent */ |
| j = iy>>(23-k); |
| if((j<<(23-k))==iy) yisint = 2-(j&1); |
| } |
| } |
| /* special value of y */ |
| if (iy==0x7f800000) { /* y is +-inf */ |
| if (ix==0x3f800000) |
| return y - y; /* inf**+-1 is NaN */ |
| else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */ |
| return (hy>=0)? y: zero; |
| else /* (|x|<1)**-,+inf = inf,0 */ |
| return (hy<0)?-y: zero; |
| } |
| if(iy==0x3f800000) { /* y is +-1 */ |
| if(hy<0) return one/x; else return x; |
| } |
| if(hy==0x40000000) return x*x; /* y is 2 */ |
| if(hy==0x3f000000) { /* y is 0.5 */ |
| if(hx>=0) /* x >= +0 */ |
| return sqrtf(x); |
| } |
| ax = fabsf(x); |
| /* special value of x */ |
| if(ix==0x7f800000||ix==0||ix==0x3f800000){ |
| z = ax; /*x is +-0,+-inf,+-1*/ |
| if(hy<0) z = one/z; /* z = (1/|x|) */ |
| if(hx<0) { |
| if(((ix-0x3f800000)|yisint)==0) { |
| z = (z-z)/(z-z); /* (-1)**non-int is NaN */ |
| } else if(yisint==1) |
| z = -z; /* (x<0)**odd = -(|x|**odd) */ |
| } |
| return z; |
| } |
| /* (x<0)**(non-int) is NaN */ |
| if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x); |
| /* |y| is huge */ |
| if(iy>0x4d000000) { /* if |y| > 2**27 */ |
| /* over/underflow if x is not close to one */ |
| if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny; |
| if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny; |
| /* now |1-x| is tiny <= 2**-20, suffice to compute |
| log(x) by x-x^2/2+x^3/3-x^4/4 */ |
| t = x-1; /* t has 20 trailing zeros */ |
| w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25)); |
| u = ivln2_h*t; /* ivln2_h has 16 sig. bits */ |
| v = t*ivln2_l-w*ivln2; |
| t1 = u+v; |
| GET_FLOAT_WORD(is,t1); |
| SET_FLOAT_WORD(t1,is&0xfffff000); |
| t2 = v-(t1-u); |
| } else { |
| float s2,s_h,s_l,t_h,t_l; |
| n = 0; |
| /* take care subnormal number */ |
| if(ix<0x00800000) |
| {ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); } |
| n += ((ix)>>23)-0x7f; |
| j = ix&0x007fffff; |
| /* determine interval */ |
| ix = j|0x3f800000; /* normalize ix */ |
| if(j<=0x1cc471) k=0; /* |x|<sqrt(3/2) */ |
| else if(j<0x5db3d7) k=1; /* |x|<sqrt(3) */ |
| else {k=0;n+=1;ix -= 0x00800000;} |
| SET_FLOAT_WORD(ax,ix); |
| /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ |
| u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ |
| v = one/(ax+bp[k]); |
| s = u*v; |
| s_h = s; |
| GET_FLOAT_WORD(is,s_h); |
| SET_FLOAT_WORD(s_h,is&0xfffff000); |
| /* t_h=ax+bp[k] High */ |
| SET_FLOAT_WORD(t_h,((ix>>1)|0x20000000)+0x0040000+(k<<21)); |
| t_l = ax - (t_h-bp[k]); |
| s_l = v*((u-s_h*t_h)-s_h*t_l); |
| /* compute log(ax) */ |
| s2 = s*s; |
| r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6))))); |
| r += s_l*(s_h+s); |
| s2 = s_h*s_h; |
| t_h = (float)3.0+s2+r; |
| GET_FLOAT_WORD(is,t_h); |
| SET_FLOAT_WORD(t_h,is&0xfffff000); |
| t_l = r-((t_h-(float)3.0)-s2); |
| /* u+v = s*(1+...) */ |
| u = s_h*t_h; |
| v = s_l*t_h+t_l*s; |
| /* 2/(3log2)*(s+...) */ |
| p_h = u+v; |
| GET_FLOAT_WORD(is,p_h); |
| SET_FLOAT_WORD(p_h,is&0xfffff000); |
| p_l = v-(p_h-u); |
| z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ |
| z_l = cp_l*p_h+p_l*cp+dp_l[k]; |
| /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ |
| t = (float)n; |
| t1 = (((z_h+z_l)+dp_h[k])+t); |
| GET_FLOAT_WORD(is,t1); |
| SET_FLOAT_WORD(t1,is&0xfffff000); |
| t2 = z_l-(((t1-t)-dp_h[k])-z_h); |
| } |
| s = one; /* s (sign of result -ve**odd) = -1 else = 1 */ |
| if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0) |
| s = -one; /* (-ve)**(odd int) */ |
| /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ |
| GET_FLOAT_WORD(is,y); |
| SET_FLOAT_WORD(y1,is&0xfffff000); |
| p_l = (y-y1)*t1+y*t2; |
| p_h = y1*t1; |
| z = p_l+p_h; |
| GET_FLOAT_WORD(j,z); |
| if (j>0x43000000) /* if z > 128 */ |
| return s*huge*huge; /* overflow */ |
| else if (j==0x43000000) { /* if z == 128 */ |
| if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */ |
| } |
| else if ((j&0x7fffffff)>0x43160000) /* z <= -150 */ |
| return s*tiny*tiny; /* underflow */ |
| else if (j==0xc3160000){ /* z == -150 */ |
| if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */ |
| } |
| /* |
| * compute 2**(p_h+p_l) |
| */ |
| i = j&0x7fffffff; |
| k = (i>>23)-0x7f; |
| n = 0; |
| if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */ |
| n = j+(0x00800000>>(k+1)); |
| k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */ |
| SET_FLOAT_WORD(t,n&~(0x007fffff>>k)); |
| n = ((n&0x007fffff)|0x00800000)>>(23-k); |
| if(j<0) n = -n; |
| p_h -= t; |
| } |
| t = p_l+p_h; |
| GET_FLOAT_WORD(is,t); |
| SET_FLOAT_WORD(t,is&0xfffff000); |
| u = t*lg2_h; |
| v = (p_l-(t-p_h))*lg2+t*lg2_l; |
| z = u+v; |
| w = v-(z-u); |
| t = z*z; |
| t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); |
| r = (z*t1)/(t1-two)-(w+z*w); |
| z = one-(r-z); |
| GET_FLOAT_WORD(j,z); |
| j += (n<<23); |
| if((j>>23)<=0) z = scalbnf(z,n); /* subnormal output */ |
| else SET_FLOAT_WORD(z,j); |
| return s*z; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_rem_p.c |
|---|
| 0,0 → 1,172 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_rem_pio2f.c -- float version of e_rem_pio2.c |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.2 1994/08/18 23:05:58 jtc Exp $"; |
| #endif |
| /* __ieee754_rem_pio2f(x,y) |
| * |
| * return the remainder of x rem pi/2 in y[0]+y[1] |
| * use __kernel_rem_pio2f() |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| /* |
| * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi |
| */ |
| #ifdef __STDC__ |
| static const int32_t two_over_pi[] = { |
| #else |
| static int32_t two_over_pi[] = { |
| #endif |
| 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. */ |
| #ifdef __STDC__ |
| static const int32_t npio2_hw[] = { |
| #else |
| static int32_t npio2_hw[] = { |
| #endif |
| 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) |
| */ |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| zero = 0.0000000000e+00, /* 0x00000000 */ |
| half = 5.0000000000e-01, /* 0x3f000000 */ |
| two8 = 2.5600000000e+02, /* 0x43800000 */ |
| 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 */ |
| #ifdef __STDC__ |
| int32_t __ieee754_rem_pio2f(float x, float *y) |
| #else |
| int32_t __ieee754_rem_pio2f(x,y) |
| float x,y[]; |
| #endif |
| { |
| float z,w,t,r,fn; |
| float tx[3]; |
| int32_t e0,i,j,nx,n,ix,hx; |
| 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<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */ |
| t = fabsf(x); |
| n = (int32_t) (t*invpio2+half); |
| fn = (float)n; |
| r = t-fn*pio2_1; |
| w = fn*pio2_1t; /* 1st round good to 40 bit */ |
| if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) { |
| y[0] = r-w; /* quick check no cancellation */ |
| } else { |
| u_int32_t 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 = (ix>>23)-134; /* e0 = ilogb(z)-7; */ |
| SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23))); |
| for(i=0;i<2;i++) { |
| tx[i] = (float)((int32_t)(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; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_remai.s |
|---|
| 0,0 → 1,11 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_remainderf) |
| flds 8(%esp) |
| flds 4(%esp) |
| 1: fprem1 |
| fstsw %ax |
| sahf |
| jp 1b |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_scalb.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_scalbf) |
| flds 8(%esp) |
| flds 4(%esp) |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/ef_sinh.c |
|---|
| 0,0 → 1,69 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_sinhf.c -- float version of e_sinh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_sinhf.c,v 1.2 1994/08/18 23:06:04 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float one = 1.0, shuge = 1.0e37; |
| #else |
| static float one = 1.0, shuge = 1.0e37; |
| #endif |
| #ifdef __STDC__ |
| float __ieee754_sinhf(float x) |
| #else |
| float __ieee754_sinhf(x) |
| float x; |
| #endif |
| { |
| float t,w,h; |
| int32_t 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*__ieee754_expf(fabsf(x)); |
| /* |x| in [log(maxdouble), overflowthresold] */ |
| if (ix<=0x42b2d4fc) { |
| w = __ieee754_expf((float)0.5*fabsf(x)); |
| t = h*w; |
| return t*w; |
| } |
| /* |x| > overflowthresold, sinh(x) overflow */ |
| return x*shuge; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/ef_sinh.s |
|---|
| 0,0 → 1,8 |
| .file "ef_sinh.c" |
| .text |
| .align 4 |
| _one: |
| .long 1065353216 |
| .align 4 |
| _shuge: |
| .long 2096152002 |
| /programs/develop/libraries/menuetlibc/src/libm/ef_sqrt.s |
|---|
| 0,0 → 1,5 |
| #include<libc/asm.h> |
| MK_C_SYM(__ieee754_sqrtf) |
| flds 4(%esp) |
| fsqrt |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/er_gamma.c |
|---|
| 0,0 → 1,36 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)er_gamma.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_gamma_r.c,v 1.4 1994/08/10 20:30:52 jtc Exp $"; |
| #endif |
| /* __ieee754_gamma_r(x, signgamp) |
| * Reentrant version of the logarithm of the Gamma function |
| * with user provide pointer for the sign of Gamma(x). |
| * |
| * Method: See __ieee754_lgamma_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double __ieee754_gamma_r(double x, int *signgamp) |
| #else |
| double __ieee754_gamma_r(x,signgamp) |
| double x; int *signgamp; |
| #endif |
| { |
| return __ieee754_lgamma_r(x,signgamp); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/er_lgamm.c |
|---|
| 0,0 → 1,313 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)er_lgamma.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_lgamma_r.c,v 1.5 1994/08/10 20:31:07 jtc Exp $"; |
| #endif |
| /* __ieee754_lgamma_r(x, signgamp) |
| * Reentrant version of the logarithm of the Gamma function |
| * with user provide pointer for the sign of Gamma(x). |
| * |
| * Method: |
| * 1. Argument Reduction for 0 < x <= 8 |
| * Since gamma(1+s)=s*gamma(s), for x in [0,8], we may |
| * reduce x to a number in [1.5,2.5] by |
| * lgamma(1+s) = log(s) + lgamma(s) |
| * for example, |
| * lgamma(7.3) = log(6.3) + lgamma(6.3) |
| * = log(6.3*5.3) + lgamma(5.3) |
| * = log(6.3*5.3*4.3*3.3*2.3) + lgamma(2.3) |
| * 2. Polynomial approximation of lgamma around its |
| * minimun ymin=1.461632144968362245 to maintain monotonicity. |
| * On [ymin-0.23, ymin+0.27] (i.e., [1.23164,1.73163]), use |
| * Let z = x-ymin; |
| * lgamma(x) = -1.214862905358496078218 + z^2*poly(z) |
| * where |
| * poly(z) is a 14 degree polynomial. |
| * 2. Rational approximation in the primary interval [2,3] |
| * We use the following approximation: |
| * s = x-2.0; |
| * lgamma(x) = 0.5*s + s*P(s)/Q(s) |
| * with accuracy |
| * |P/Q - (lgamma(x)-0.5s)| < 2**-61.71 |
| * Our algorithms are based on the following observation |
| * |
| * zeta(2)-1 2 zeta(3)-1 3 |
| * lgamma(2+s) = s*(1-Euler) + --------- * s - --------- * s + ... |
| * 2 3 |
| * |
| * where Euler = 0.5771... is the Euler constant, which is very |
| * close to 0.5. |
| * |
| * 3. For x>=8, we have |
| * lgamma(x)~(x-0.5)log(x)-x+0.5*log(2pi)+1/(12x)-1/(360x**3)+.... |
| * (better formula: |
| * lgamma(x)~(x-0.5)*(log(x)-1)-.5*(log(2pi)-1) + ...) |
| * Let z = 1/x, then we approximation |
| * f(z) = lgamma(x) - (x-0.5)(log(x)-1) |
| * by |
| * 3 5 11 |
| * w = w0 + w1*z + w2*z + w3*z + ... + w6*z |
| * where |
| * |w - f(z)| < 2**-58.74 |
| * |
| * 4. For negative x, since (G is gamma function) |
| * -x*G(-x)*G(x) = pi/sin(pi*x), |
| * we have |
| * G(x) = pi/(sin(pi*x)*(-x)*G(-x)) |
| * since G(-x) is positive, sign(G(x)) = sign(sin(pi*x)) for x<0 |
| * Hence, for x<0, signgam = sign(sin(pi*x)) and |
| * lgamma(x) = log(|Gamma(x)|) |
| * = log(pi/(|x*sin(pi*x)|)) - lgamma(-x); |
| * Note: one should avoid compute pi*(-x) directly in the |
| * computation of sin(pi*(-x)). |
| * |
| * 5. Special Cases |
| * lgamma(2+s) ~ s*(1-Euler) for tiny s |
| * lgamma(1)=lgamma(2)=0 |
| * lgamma(x) ~ -log(x) for tiny x |
| * lgamma(0) = lgamma(inf) = inf |
| * lgamma(-integer) = +-inf |
| * |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ |
| half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ |
| one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
| pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ |
| a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */ |
| a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */ |
| a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */ |
| a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */ |
| a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */ |
| a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */ |
| a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */ |
| a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */ |
| a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */ |
| a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */ |
| a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */ |
| a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */ |
| tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */ |
| tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */ |
| /* tt = -(tail of tf) */ |
| tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */ |
| t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */ |
| t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */ |
| t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */ |
| t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */ |
| t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */ |
| t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */ |
| t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */ |
| t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */ |
| t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */ |
| t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */ |
| t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */ |
| t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */ |
| t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */ |
| t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */ |
| t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */ |
| u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */ |
| u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */ |
| u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */ |
| u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */ |
| u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */ |
| u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */ |
| v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */ |
| v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */ |
| v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */ |
| v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */ |
| v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */ |
| s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */ |
| s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */ |
| s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */ |
| s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */ |
| s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */ |
| s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */ |
| s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */ |
| r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */ |
| r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */ |
| r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */ |
| r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */ |
| r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */ |
| r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */ |
| w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */ |
| w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */ |
| w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */ |
| w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */ |
| w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */ |
| w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */ |
| w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */ |
| #ifdef __STDC__ |
| static const double zero= 0.00000000000000000000e+00; |
| #else |
| static double zero= 0.00000000000000000000e+00; |
| #endif |
| #ifdef __STDC__ |
| static double sin_pi(double x) |
| #else |
| static double sin_pi(x) |
| double x; |
| #endif |
| { |
| double y,z; |
| int n,ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0); |
| y = -x; /* x is assume negative */ |
| /* |
| * argument reduction, make sure inexact flag not raised if input |
| * is an integer |
| */ |
| z = floor(y); |
| if(z!=y) { /* inexact anyway */ |
| y *= 0.5; |
| y = 2.0*(y - floor(y)); /* y = |x| mod 2.0 */ |
| n = (int) (y*4.0); |
| } else { |
| if(ix>=0x43400000) { |
| y = zero; n = 0; /* y must be even */ |
| } else { |
| if(ix<0x43300000) z = y+two52; /* exact */ |
| GET_LOW_WORD(n,z); |
| n &= 1; |
| y = n; |
| n<<= 2; |
| } |
| } |
| switch (n) { |
| case 0: y = __kernel_sin(pi*y,zero,0); break; |
| case 1: |
| case 2: y = __kernel_cos(pi*(0.5-y),zero); break; |
| case 3: |
| case 4: y = __kernel_sin(pi*(one-y),zero,0); break; |
| case 5: |
| case 6: y = -__kernel_cos(pi*(y-1.5),zero); break; |
| default: y = __kernel_sin(pi*(y-2.0),zero,0); break; |
| } |
| return -y; |
| } |
| #ifdef __STDC__ |
| double __ieee754_lgamma_r(double x, int *signgamp) |
| #else |
| double __ieee754_lgamma_r(x,signgamp) |
| double x; int *signgamp; |
| #endif |
| { |
| double t,y,z,nadj,p,p1,p2,p3,q,r,w; |
| int i,hx,lx,ix; |
| EXTRACT_WORDS(hx,lx,x); |
| /* purge off +-inf, NaN, +-0, and negative arguments */ |
| *signgamp = 1; |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) return x*x; |
| if((ix|lx)==0) return one/zero; |
| if(ix<0x3b900000) { /* |x|<2**-70, return -log(|x|) */ |
| if(hx<0) { |
| *signgamp = -1; |
| return -__ieee754_log(-x); |
| } else return -__ieee754_log(x); |
| } |
| if(hx<0) { |
| if(ix>=0x43300000) /* |x|>=2**52, must be -integer */ |
| return one/zero; |
| t = sin_pi(x); |
| if(t==zero) return one/zero; /* -integer */ |
| nadj = __ieee754_log(pi/fabs(t*x)); |
| if(t<zero) *signgamp = -1; |
| x = -x; |
| } |
| /* purge off 1 and 2 */ |
| if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0; |
| /* for x < 2.0 */ |
| else if(ix<0x40000000) { |
| if(ix<=0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */ |
| r = -__ieee754_log(x); |
| if(ix>=0x3FE76944) {y = one-x; i= 0;} |
| else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;} |
| else {y = x; i=2;} |
| } else { |
| r = zero; |
| if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */ |
| else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */ |
| else {y=x-one;i=2;} |
| } |
| switch(i) { |
| case 0: |
| z = y*y; |
| p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10)))); |
| p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11))))); |
| p = y*p1+p2; |
| r += (p-0.5*y); break; |
| case 1: |
| z = y*y; |
| w = z*y; |
| p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */ |
| p2 = t1+w*(t4+w*(t7+w*(t10+w*t13))); |
| p3 = t2+w*(t5+w*(t8+w*(t11+w*t14))); |
| p = z*p1-(tt-w*(p2+y*p3)); |
| r += (tf + p); break; |
| case 2: |
| p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5))))); |
| p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5)))); |
| r += (-0.5*y + p1/p2); |
| } |
| } |
| else if(ix<0x40200000) { /* x < 8.0 */ |
| i = (int)x; |
| t = zero; |
| y = x-(double)i; |
| p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6)))))); |
| q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6))))); |
| r = half*y+p/q; |
| z = one; /* lgamma(1+s) = log(s) + lgamma(s) */ |
| switch(i) { |
| case 7: z *= (y+6.0); /* FALLTHRU */ |
| case 6: z *= (y+5.0); /* FALLTHRU */ |
| case 5: z *= (y+4.0); /* FALLTHRU */ |
| case 4: z *= (y+3.0); /* FALLTHRU */ |
| case 3: z *= (y+2.0); /* FALLTHRU */ |
| r += __ieee754_log(z); break; |
| } |
| /* 8.0 <= x < 2**58 */ |
| } else if (ix < 0x43900000) { |
| t = __ieee754_log(x); |
| z = one/x; |
| y = z*z; |
| w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6))))); |
| r = (x-half)*(t-one)+w; |
| } else |
| /* 2**58 <= x <= inf */ |
| r = x*(__ieee754_log(x)-one); |
| if(hx<0) r = nadj - r; |
| return r; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/erf_gamm.c |
|---|
| 0,0 → 1,39 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_gammaf_r.c -- float version of e_gamma_r.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_gammaf_r.c,v 1.1 1994/08/10 20:30:54 jtc Exp $"; |
| #endif |
| /* __ieee754_gammaf_r(x, signgamp) |
| * Reentrant version of the logarithm of the Gamma function |
| * with user provide pointer for the sign of Gamma(x). |
| * |
| * Method: See __ieee754_lgammaf_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float __ieee754_gammaf_r(float x, int *signgamp) |
| #else |
| float __ieee754_gammaf_r(x,signgamp) |
| float x; int *signgamp; |
| #endif |
| { |
| return __ieee754_lgammaf_r(x,signgamp); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/erf_lgam.c |
|---|
| 0,0 → 1,249 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* e_lgammaf_r.c -- float version of e_lgamma_r.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: e_lgammaf_r.c,v 1.1 1994/08/10 20:31:09 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| two23= 8.3886080000e+06, /* 0x4b000000 */ |
| half= 5.0000000000e-01, /* 0x3f000000 */ |
| one = 1.0000000000e+00, /* 0x3f800000 */ |
| pi = 3.1415927410e+00, /* 0x40490fdb */ |
| a0 = 7.7215664089e-02, /* 0x3d9e233f */ |
| a1 = 3.2246702909e-01, /* 0x3ea51a66 */ |
| a2 = 6.7352302372e-02, /* 0x3d89f001 */ |
| a3 = 2.0580807701e-02, /* 0x3ca89915 */ |
| a4 = 7.3855509982e-03, /* 0x3bf2027e */ |
| a5 = 2.8905137442e-03, /* 0x3b3d6ec6 */ |
| a6 = 1.1927076848e-03, /* 0x3a9c54a1 */ |
| a7 = 5.1006977446e-04, /* 0x3a05b634 */ |
| a8 = 2.2086278477e-04, /* 0x39679767 */ |
| a9 = 1.0801156895e-04, /* 0x38e28445 */ |
| a10 = 2.5214456400e-05, /* 0x37d383a2 */ |
| a11 = 4.4864096708e-05, /* 0x383c2c75 */ |
| tc = 1.4616321325e+00, /* 0x3fbb16c3 */ |
| tf = -1.2148628384e-01, /* 0xbdf8cdcd */ |
| /* tt = -(tail of tf) */ |
| tt = 6.6971006518e-09, /* 0x31e61c52 */ |
| t0 = 4.8383611441e-01, /* 0x3ef7b95e */ |
| t1 = -1.4758771658e-01, /* 0xbe17213c */ |
| t2 = 6.4624942839e-02, /* 0x3d845a15 */ |
| t3 = -3.2788541168e-02, /* 0xbd064d47 */ |
| t4 = 1.7970675603e-02, /* 0x3c93373d */ |
| t5 = -1.0314224288e-02, /* 0xbc28fcfe */ |
| t6 = 6.1005386524e-03, /* 0x3bc7e707 */ |
| t7 = -3.6845202558e-03, /* 0xbb7177fe */ |
| t8 = 2.2596477065e-03, /* 0x3b141699 */ |
| t9 = -1.4034647029e-03, /* 0xbab7f476 */ |
| t10 = 8.8108185446e-04, /* 0x3a66f867 */ |
| t11 = -5.3859531181e-04, /* 0xba0d3085 */ |
| t12 = 3.1563205994e-04, /* 0x39a57b6b */ |
| t13 = -3.1275415677e-04, /* 0xb9a3f927 */ |
| t14 = 3.3552918467e-04, /* 0x39afe9f7 */ |
| u0 = -7.7215664089e-02, /* 0xbd9e233f */ |
| u1 = 6.3282704353e-01, /* 0x3f2200f4 */ |
| u2 = 1.4549225569e+00, /* 0x3fba3ae7 */ |
| u3 = 9.7771751881e-01, /* 0x3f7a4bb2 */ |
| u4 = 2.2896373272e-01, /* 0x3e6a7578 */ |
| u5 = 1.3381091878e-02, /* 0x3c5b3c5e */ |
| v1 = 2.4559779167e+00, /* 0x401d2ebe */ |
| v2 = 2.1284897327e+00, /* 0x4008392d */ |
| v3 = 7.6928514242e-01, /* 0x3f44efdf */ |
| v4 = 1.0422264785e-01, /* 0x3dd572af */ |
| v5 = 3.2170924824e-03, /* 0x3b52d5db */ |
| s0 = -7.7215664089e-02, /* 0xbd9e233f */ |
| s1 = 2.1498242021e-01, /* 0x3e5c245a */ |
| s2 = 3.2577878237e-01, /* 0x3ea6cc7a */ |
| s3 = 1.4635047317e-01, /* 0x3e15dce6 */ |
| s4 = 2.6642270386e-02, /* 0x3cda40e4 */ |
| s5 = 1.8402845599e-03, /* 0x3af135b4 */ |
| s6 = 3.1947532989e-05, /* 0x3805ff67 */ |
| r1 = 1.3920053244e+00, /* 0x3fb22d3b */ |
| r2 = 7.2193557024e-01, /* 0x3f38d0c5 */ |
| r3 = 1.7193385959e-01, /* 0x3e300f6e */ |
| r4 = 1.8645919859e-02, /* 0x3c98bf54 */ |
| r5 = 7.7794247773e-04, /* 0x3a4beed6 */ |
| r6 = 7.3266842264e-06, /* 0x36f5d7bd */ |
| w0 = 4.1893854737e-01, /* 0x3ed67f1d */ |
| w1 = 8.3333335817e-02, /* 0x3daaaaab */ |
| w2 = -2.7777778450e-03, /* 0xbb360b61 */ |
| w3 = 7.9365057172e-04, /* 0x3a500cfd */ |
| w4 = -5.9518753551e-04, /* 0xba1c065c */ |
| w5 = 8.3633989561e-04, /* 0x3a5b3dd2 */ |
| w6 = -1.6309292987e-03; /* 0xbad5c4e8 */ |
| #ifdef __STDC__ |
| static const float zero= 0.0000000000e+00; |
| #else |
| static float zero= 0.0000000000e+00; |
| #endif |
| #ifdef __STDC__ |
| static float sin_pif(float x) |
| #else |
| static float sin_pif(x) |
| float x; |
| #endif |
| { |
| float y,z; |
| int n,ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0); |
| y = -x; /* x is assume negative */ |
| /* |
| * argument reduction, make sure inexact flag not raised if input |
| * is an integer |
| */ |
| z = floorf(y); |
| if(z!=y) { /* inexact anyway */ |
| y *= (float)0.5; |
| y = (float)2.0*(y - floorf(y)); /* y = |x| mod 2.0 */ |
| n = (int) (y*(float)4.0); |
| } else { |
| if(ix>=0x4b800000) { |
| y = zero; n = 0; /* y must be even */ |
| } else { |
| if(ix<0x4b000000) z = y+two23; /* exact */ |
| GET_FLOAT_WORD(n,z); |
| n &= 1; |
| y = n; |
| n<<= 2; |
| } |
| } |
| switch (n) { |
| case 0: y = __kernel_sinf(pi*y,zero,0); break; |
| case 1: |
| case 2: y = __kernel_cosf(pi*((float)0.5-y),zero); break; |
| case 3: |
| case 4: y = __kernel_sinf(pi*(one-y),zero,0); break; |
| case 5: |
| case 6: y = -__kernel_cosf(pi*(y-(float)1.5),zero); break; |
| default: y = __kernel_sinf(pi*(y-(float)2.0),zero,0); break; |
| } |
| return -y; |
| } |
| #ifdef __STDC__ |
| float __ieee754_lgammaf_r(float x, int *signgamp) |
| #else |
| float __ieee754_lgammaf_r(x,signgamp) |
| float x; int *signgamp; |
| #endif |
| { |
| float t,y,z,nadj,p,p1,p2,p3,q,r,w; |
| int i,hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| /* purge off +-inf, NaN, +-0, and negative arguments */ |
| *signgamp = 1; |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) return x*x; |
| if(ix==0) return one/zero; |
| if(ix<0x1c800000) { /* |x|<2**-70, return -log(|x|) */ |
| if(hx<0) { |
| *signgamp = -1; |
| return -__ieee754_logf(-x); |
| } else return -__ieee754_logf(x); |
| } |
| if(hx<0) { |
| if(ix>=0x4b000000) /* |x|>=2**23, must be -integer */ |
| return one/zero; |
| t = sin_pif(x); |
| if(t==zero) return one/zero; /* -integer */ |
| nadj = __ieee754_logf(pi/fabsf(t*x)); |
| if(t<zero) *signgamp = -1; |
| x = -x; |
| } |
| /* purge off 1 and 2 */ |
| if (ix==0x3f800000||ix==0x40000000) r = 0; |
| /* for x < 2.0 */ |
| else if(ix<0x40000000) { |
| if(ix<=0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */ |
| r = -__ieee754_logf(x); |
| if(ix>=0x3f3b4a20) {y = one-x; i= 0;} |
| else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;} |
| else {y = x; i=2;} |
| } else { |
| r = zero; |
| if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */ |
| else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */ |
| else {y=x-one;i=2;} |
| } |
| switch(i) { |
| case 0: |
| z = y*y; |
| p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10)))); |
| p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11))))); |
| p = y*p1+p2; |
| r += (p-(float)0.5*y); break; |
| case 1: |
| z = y*y; |
| w = z*y; |
| p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */ |
| p2 = t1+w*(t4+w*(t7+w*(t10+w*t13))); |
| p3 = t2+w*(t5+w*(t8+w*(t11+w*t14))); |
| p = z*p1-(tt-w*(p2+y*p3)); |
| r += (tf + p); break; |
| case 2: |
| p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5))))); |
| p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5)))); |
| r += (-(float)0.5*y + p1/p2); |
| } |
| } |
| else if(ix<0x41000000) { /* x < 8.0 */ |
| i = (int)x; |
| t = zero; |
| y = x-(float)i; |
| p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6)))))); |
| q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6))))); |
| r = half*y+p/q; |
| z = one; /* lgamma(1+s) = log(s) + lgamma(s) */ |
| switch(i) { |
| case 7: z *= (y+(float)6.0); /* FALLTHRU */ |
| case 6: z *= (y+(float)5.0); /* FALLTHRU */ |
| case 5: z *= (y+(float)4.0); /* FALLTHRU */ |
| case 4: z *= (y+(float)3.0); /* FALLTHRU */ |
| case 3: z *= (y+(float)2.0); /* FALLTHRU */ |
| r += __ieee754_logf(z); break; |
| } |
| /* 8.0 <= x < 2**58 */ |
| } else if (ix < 0x5c800000) { |
| t = __ieee754_logf(x); |
| z = one/x; |
| y = z*z; |
| w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6))))); |
| r = (x-half)*(t-one)+w; |
| } else |
| /* 2**58 <= x <= inf */ |
| r = x*(__ieee754_logf(x)-one); |
| if(hx<0) r = nadj - r; |
| return r; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/k_cos.c |
|---|
| 0,0 → 1,97 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)k_cos.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_cos.c,v 1.6 1994/08/18 23:06:08 jtc Exp $"; |
| #endif |
| /* |
| * __kernel_cos( x, y ) |
| * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 |
| * Input x is assumed to be bounded by ~pi/4 in magnitude. |
| * Input y is the tail of x. |
| * |
| * Algorithm |
| * 1. Since cos(-x) = cos(x), we need only to consider positive x. |
| * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0. |
| * 3. cos(x) is approximated by a polynomial of degree 14 on |
| * [0,pi/4] |
| * 4 14 |
| * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x |
| * where the remez error is |
| * |
| * | 2 4 6 8 10 12 14 | -58 |
| * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 |
| * | | |
| * |
| * 4 6 8 10 12 14 |
| * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then |
| * cos(x) = 1 - x*x/2 + r |
| * since cos(x+y) ~ cos(x) - sin(x)*y |
| * ~ cos(x) - x*y, |
| * a correction term is necessary in cos(x) and hence |
| * cos(x+y) = 1 - (x*x/2 - (r - x*y)) |
| * For better accuracy when x > 0.3, let qx = |x|/4 with |
| * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. |
| * Then |
| * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). |
| * Note that 1-qx and (x*x/2-qx) is EXACT here, and the |
| * magnitude of the latter is at least a quarter of x*x/2, |
| * thus, reducing the rounding error in the subtraction. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
| 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 */ |
| #ifdef __STDC__ |
| double __kernel_cos(double x, double y) |
| #else |
| double __kernel_cos(x, y) |
| double x,y; |
| #endif |
| { |
| double a,hz,z,r,qx; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; /* ix = |x|'s high word*/ |
| if(ix<0x3e400000) { /* 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 < 0x3FD33333) /* if |x| < 0.3 */ |
| return one - (0.5*z - (z*r - x*y)); |
| else { |
| if(ix > 0x3fe90000) { /* x > 0.78125 */ |
| qx = 0.28125; |
| } else { |
| INSERT_WORDS(qx,ix-0x00200000,0); /* x/4 */ |
| } |
| hz = 0.5*z-qx; |
| a = one-qx; |
| return a - (hz - (z*r-x*y)); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/k_rem_pi.c |
|---|
| 0,0 → 1,321 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)k_rem_pio2.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $"; |
| #endif |
| /* |
| * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) |
| * double x[],y[]; int e0,nx,prec; int ipio2[]; |
| * |
| * __kernel_rem_pio2 return the last three digits of N with |
| * y = x - N*pi/2 |
| * so that |y| < pi/2. |
| * |
| * The method is to compute the integer (mod 8) and fraction parts of |
| * (2/pi)*x without doing the full multiplication. In general we |
| * skip the part of the product that are known to be a huge integer ( |
| * more accurately, = 0 mod 8 ). Thus the number of operations are |
| * independent of the exponent of the input. |
| * |
| * (2/pi) is represented by an array of 24-bit integers in ipio2[]. |
| * |
| * Input parameters: |
| * x[] The input value (must be positive) is broken into nx |
| * pieces of 24-bit integers in double precision format. |
| * x[i] will be the i-th 24 bit of x. The scaled exponent |
| * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 |
| * match x's up to 24 bits. |
| * |
| * Example of breaking a double positive z into x[0]+x[1]+x[2]: |
| * e0 = ilogb(z)-23 |
| * z = scalbn(z,-e0) |
| * for i = 0,1,2 |
| * x[i] = floor(z) |
| * z = (z-x[i])*2**24 |
| * |
| * |
| * y[] ouput result in an array of double precision numbers. |
| * The dimension of y[] is: |
| * 24-bit precision 1 |
| * 53-bit precision 2 |
| * 64-bit precision 2 |
| * 113-bit precision 3 |
| * The actual value is the sum of them. Thus for 113-bit |
| * precison, one may have to do something like: |
| * |
| * long double t,w,r_head, r_tail; |
| * t = (long double)y[2] + (long double)y[1]; |
| * w = (long double)y[0]; |
| * r_head = t+w; |
| * r_tail = w - (r_head - t); |
| * |
| * e0 The exponent of x[0] |
| * |
| * nx dimension of x[] |
| * |
| * prec an integer indicating the precision: |
| * 0 24 bits (single) |
| * 1 53 bits (double) |
| * 2 64 bits (extended) |
| * 3 113 bits (quad) |
| * |
| * ipio2[] |
| * integer array, contains the (24*i)-th to (24*i+23)-th |
| * bit of 2/pi after binary point. The corresponding |
| * floating value is |
| * |
| * ipio2[i] * 2^(-24(i+1)). |
| * |
| * External function: |
| * double scalbn(), floor(); |
| * |
| * |
| * Here is the description of some local variables: |
| * |
| * jk jk+1 is the initial number of terms of ipio2[] needed |
| * in the computation. The recommended value is 2,3,4, |
| * 6 for single, double, extended,and quad. |
| * |
| * jz local integer variable indicating the number of |
| * terms of ipio2[] used. |
| * |
| * jx nx - 1 |
| * |
| * jv index for pointing to the suitable ipio2[] for the |
| * computation. In general, we want |
| * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 |
| * is an integer. Thus |
| * e0-3-24*jv >= 0 or (e0-3)/24 >= jv |
| * Hence jv = max(0,(e0-3)/24). |
| * |
| * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. |
| * |
| * q[] double array with integral value, representing the |
| * 24-bits chunk of the product of x and 2/pi. |
| * |
| * q0 the corresponding exponent of q[0]. Note that the |
| * exponent for q[i] would be q0-24*i. |
| * |
| * PIo2[] double precision array, obtained by cutting pi/2 |
| * into 24 bits chunks. |
| * |
| * f[] ipio2[] in floating point |
| * |
| * iq[] integer array by breaking up q[] in 24-bits chunk. |
| * |
| * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] |
| * |
| * ih integer. If >0 it indicates q[] is >= 0.5, hence |
| * it also indicates the *sign* of the result. |
| * |
| */ |
| /* |
| * Constants: |
| * The hexadecimal values are the intended ones for the following |
| * constants. The decimal values may be used, provided that the |
| * compiler will convert from decimal to binary accurately enough |
| * to produce the hexadecimal values shown. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const int init_jk[] = {2,3,4,6}; /* initial value for jk */ |
| #else |
| static int init_jk[] = {2,3,4,6}; |
| #endif |
| #ifdef __STDC__ |
| static const double PIo2[] = { |
| #else |
| static double PIo2[] = { |
| #endif |
| 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ |
| 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ |
| 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ |
| 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ |
| 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ |
| 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ |
| 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ |
| 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ |
| }; |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| zero = 0.0, |
| one = 1.0, |
| two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ |
| twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ |
| #ifdef __STDC__ |
| int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2) |
| #else |
| int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) |
| double x[], y[]; int e0,nx,prec; int32_t ipio2[]; |
| #endif |
| { |
| int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih; |
| double 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)/24; if(jv<0) jv=0; |
| q0 = e0-24*(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 : (double) 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 = (double)((int32_t)(twon24* z)); |
| iq[i] = (int32_t)(z-two24*fw); |
| z = q[j-1]+fw; |
| } |
| /* compute n */ |
| z = scalbn(z,q0); /* actual value of z */ |
| z -= 8.0*floor(z*0.125); /* trim off integer >= 8 */ |
| n = (int32_t) z; |
| z -= (double)n; |
| ih = 0; |
| if(q0>0) { /* need iq[jz-1] to determine n */ |
| i = (iq[jz-1]>>(24-q0)); n += i; |
| iq[jz-1] -= i<<(24-q0); |
| ih = iq[jz-1]>>(23-q0); |
| } |
| else if(q0==0) ih = iq[jz-1]>>23; |
| else if(z>=0.5) ih=2; |
| if(ih>0) { /* q > 0.5 */ |
| n += 1; carry = 0; |
| for(i=0;i<jz ;i++) { /* compute 1-q */ |
| j = iq[i]; |
| if(carry==0) { |
| if(j!=0) { |
| carry = 1; iq[i] = 0x1000000- j; |
| } |
| } else iq[i] = 0xffffff - j; |
| } |
| if(q0>0) { /* rare case: chance is 1 in 12 */ |
| switch(q0) { |
| case 1: |
| iq[jz-1] &= 0x7fffff; break; |
| case 2: |
| iq[jz-1] &= 0x3fffff; break; |
| } |
| } |
| if(ih==2) { |
| z = one - z; |
| if(carry!=0) z -= scalbn(one,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] = (double) 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==0.0) { |
| jz -= 1; q0 -= 24; |
| while(iq[jz]==0) { jz--; q0-=24;} |
| } else { /* break z into 24-bit if necessary */ |
| z = scalbn(z,-q0); |
| if(z>=two24) { |
| fw = (double)((int32_t)(twon24*z)); |
| iq[jz] = (int32_t)(z-two24*fw); |
| jz += 1; q0 += 24; |
| iq[jz] = (int32_t) fw; |
| } else iq[jz] = (int32_t) z ; |
| } |
| /* convert integer "bit" chunk to floating-point value */ |
| fw = scalbn(one,q0); |
| for(i=jz;i>=0;i--) { |
| q[i] = fw*(double)iq[i]; fw*=twon24; |
| } |
| /* 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; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/k_sin.c |
|---|
| 0,0 → 1,80 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)k_sin.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_sin.c,v 1.6 1994/08/18 23:06:14 jtc Exp $"; |
| #endif |
| /* __kernel_sin( x, y, iy) |
| * kernel sin 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 iy indicates whether y is 0. (if iy=0, y assume to be 0). |
| * |
| * Algorithm |
| * 1. Since sin(-x) = -sin(x), we need only to consider positive x. |
| * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0. |
| * 3. sin(x) is approximated by a polynomial of degree 13 on |
| * [0,pi/4] |
| * 3 13 |
| * sin(x) ~ x + S1*x + ... + S6*x |
| * where |
| * |
| * |sin(x) 2 4 6 8 10 12 | -58 |
| * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 |
| * | x | |
| * |
| * 4. sin(x+y) = sin(x) + sin'(x')*y |
| * ~ sin(x) + (1-x*x/2)*y |
| * For better accuracy, let |
| * 3 2 2 2 2 |
| * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) |
| * then 3 2 |
| * sin(x) = x + (S1*x + (x *(r-y/2)+y)) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ |
| 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 */ |
| #ifdef __STDC__ |
| double __kernel_sin(double x, double y, int iy) |
| #else |
| double __kernel_sin(x, y, iy) |
| double x,y; int iy; /* iy=0 if y is zero */ |
| #endif |
| { |
| double z,r,v; |
| int32_t ix; |
| GET_HIGH_WORD(ix,x); |
| ix &= 0x7fffffff; /* high word of x */ |
| if(ix<0x3e400000) /* |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); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/k_standa.c |
|---|
| 0,0 → 1,783 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)k_standard.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_standard.c,v 1.4 1994/08/10 20:31:44 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #include <errno.h> |
| #ifndef _USE_WRITE |
| #include <stdio.h> /* fputs(), stderr */ |
| #define WRITE2(u,v) fputs(u, stderr) |
| #else /* !defined(_USE_WRITE) */ |
| #include <unistd.h> /* write */ |
| #define WRITE2(u,v) write(2, u, v) |
| #undef fflush |
| #endif /* !defined(_USE_WRITE) */ |
| #ifdef __STDC__ |
| static const double zero = 0.0; /* used as const */ |
| #else |
| static double zero = 0.0; /* used as const */ |
| #endif |
| /* |
| * Standard conformance (non-IEEE) on exception cases. |
| * Mapping: |
| * 1 -- acos(|x|>1) |
| * 2 -- asin(|x|>1) |
| * 3 -- atan2(+-0,+-0) |
| * 4 -- hypot overflow |
| * 5 -- cosh overflow |
| * 6 -- exp overflow |
| * 7 -- exp underflow |
| * 8 -- y0(0) |
| * 9 -- y0(-ve) |
| * 10-- y1(0) |
| * 11-- y1(-ve) |
| * 12-- yn(0) |
| * 13-- yn(-ve) |
| * 14-- lgamma(finite) overflow |
| * 15-- lgamma(-integer) |
| * 16-- log(0) |
| * 17-- log(x<0) |
| * 18-- log10(0) |
| * 19-- log10(x<0) |
| * 20-- pow(0.0,0.0) |
| * 21-- pow(x,y) overflow |
| * 22-- pow(x,y) underflow |
| * 23-- pow(0,negative) |
| * 24-- pow(neg,non-integral) |
| * 25-- sinh(finite) overflow |
| * 26-- sqrt(negative) |
| * 27-- fmod(x,0) |
| * 28-- remainder(x,0) |
| * 29-- acosh(x<1) |
| * 30-- atanh(|x|>1) |
| * 31-- atanh(|x|=1) |
| * 32-- scalb overflow |
| * 33-- scalb underflow |
| * 34-- j0(|x|>X_TLOSS) |
| * 35-- y0(x>X_TLOSS) |
| * 36-- j1(|x|>X_TLOSS) |
| * 37-- y1(x>X_TLOSS) |
| * 38-- jn(|x|>X_TLOSS, n) |
| * 39-- yn(x>X_TLOSS, n) |
| * 40-- gamma(finite) overflow |
| * 41-- gamma(-integer) |
| * 42-- pow(NaN,0.0) |
| */ |
| #ifdef __STDC__ |
| double __kernel_standard(double x, double y, int type) |
| #else |
| double __kernel_standard(x,y,type) |
| double x,y; int type; |
| #endif |
| { |
| struct exception exc; |
| #ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */ |
| #define HUGE_VAL inf |
| double inf = 0.0; |
| SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */ |
| #endif |
| #ifdef _USE_WRITE |
| (void) fflush(stdout); |
| #endif |
| exc.arg1 = x; |
| exc.arg2 = y; |
| switch(type) { |
| case 1: |
| case 101: |
| /* acos(|x|>1) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "acos" : "acosf"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if(_LIB_VERSION == _SVID_) { |
| (void) WRITE2("acos: DOMAIN error\n", 19); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 2: |
| case 102: |
| /* asin(|x|>1) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "asin" : "asinf"; |
| exc.retval = zero; |
| if(_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if(_LIB_VERSION == _SVID_) { |
| (void) WRITE2("asin: DOMAIN error\n", 19); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 3: |
| case 103: |
| /* atan2(+-0,+-0) */ |
| exc.arg1 = y; |
| exc.arg2 = x; |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "atan2" : "atan2f"; |
| exc.retval = zero; |
| if(_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if(_LIB_VERSION == _SVID_) { |
| (void) WRITE2("atan2: DOMAIN error\n", 20); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 4: |
| case 104: |
| /* hypot(finite,finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "hypot" : "hypotf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 5: |
| case 105: |
| /* cosh(finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "cosh" : "coshf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 6: |
| case 106: |
| /* exp(finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "exp" : "expf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 7: |
| case 107: |
| /* exp(finite) underflow */ |
| exc.type = UNDERFLOW; |
| exc.name = type < 100 ? "exp" : "expf"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 8: |
| case 108: |
| /* y0(0) = -inf */ |
| exc.type = DOMAIN; /* should be SING for IEEE */ |
| exc.name = type < 100 ? "y0" : "y0f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("y0: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 9: |
| case 109: |
| /* y0(x<0) = NaN */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "y0" : "y0f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("y0: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 10: |
| case 110: |
| /* y1(0) = -inf */ |
| exc.type = DOMAIN; /* should be SING for IEEE */ |
| exc.name = type < 100 ? "y1" : "y1f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("y1: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 11: |
| case 111: |
| /* y1(x<0) = NaN */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "y1" : "y1f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("y1: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 12: |
| case 112: |
| /* yn(n,0) = -inf */ |
| exc.type = DOMAIN; /* should be SING for IEEE */ |
| exc.name = type < 100 ? "yn" : "ynf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("yn: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 13: |
| case 113: |
| /* yn(x<0) = NaN */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "yn" : "ynf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("yn: DOMAIN error\n", 17); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 14: |
| case 114: |
| /* lgamma(finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "lgamma" : "lgammaf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 15: |
| case 115: |
| /* lgamma(-integer) or lgamma(0) */ |
| exc.type = SING; |
| exc.name = type < 100 ? "lgamma" : "lgammaf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("lgamma: SING error\n", 19); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 16: |
| case 116: |
| /* log(0) */ |
| exc.type = SING; |
| exc.name = type < 100 ? "log" : "logf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("log: SING error\n", 16); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 17: |
| case 117: |
| /* log(x<0) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "log" : "logf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("log: DOMAIN error\n", 18); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 18: |
| case 118: |
| /* log10(0) */ |
| exc.type = SING; |
| exc.name = type < 100 ? "log10" : "log10f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("log10: SING error\n", 18); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 19: |
| case 119: |
| /* log10(x<0) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "log10" : "log10f"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = -HUGE_VAL; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("log10: DOMAIN error\n", 20); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 20: |
| case 120: |
| /* pow(0.0,0.0) */ |
| /* error only if _LIB_VERSION == _SVID_ */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "pow" : "powf"; |
| exc.retval = zero; |
| if (_LIB_VERSION != _SVID_) exc.retval = 1.0; |
| else if (!matherr(&exc)) { |
| (void) WRITE2("pow(0,0): DOMAIN error\n", 23); |
| errno = EDOM; |
| } |
| break; |
| case 21: |
| case 121: |
| /* pow(x,y) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "pow" : "powf"; |
| if (_LIB_VERSION == _SVID_) { |
| exc.retval = HUGE_VAL; |
| y *= 0.5; |
| if(x<zero&&rint(y)!=y) exc.retval = -HUGE_VAL; |
| } else { |
| exc.retval = HUGE_VAL; |
| y *= 0.5; |
| if(x<zero&&rint(y)!=y) exc.retval = -HUGE_VAL; |
| } |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 22: |
| case 122: |
| /* pow(x,y) underflow */ |
| exc.type = UNDERFLOW; |
| exc.name = type < 100 ? "pow" : "powf"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 23: |
| case 123: |
| /* 0**neg */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "pow" : "powf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = zero; |
| else |
| exc.retval = -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("pow(0,neg): DOMAIN error\n", 25); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 24: |
| case 124: |
| /* neg**non-integral */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "pow" : "powf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = zero; |
| else |
| exc.retval = zero/zero; /* X/Open allow NaN */ |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("neg**non-integral: DOMAIN error\n", 32); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 25: |
| case 125: |
| /* sinh(finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "sinh" : "sinhf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = ( (x>zero) ? HUGE_VAL: -HUGE_VAL); |
| else |
| exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL); |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 26: |
| case 126: |
| /* sqrt(x<0) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "sqrt" : "sqrtf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = zero; |
| else |
| exc.retval = zero/zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("sqrt: DOMAIN error\n", 19); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 27: |
| case 127: |
| /* fmod(x,0) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "fmod" : "fmodf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = x; |
| else |
| exc.retval = zero/zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("fmod: DOMAIN error\n", 20); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 28: |
| case 128: |
| /* remainder(x,0) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "remainder" : "remainderf"; |
| exc.retval = zero/zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("remainder: DOMAIN error\n", 24); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 29: |
| case 129: |
| /* acosh(x<1) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "acosh" : "acoshf"; |
| exc.retval = zero/zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("acosh: DOMAIN error\n", 20); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 30: |
| case 130: |
| /* atanh(|x|>1) */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "atanh" : "atanhf"; |
| exc.retval = zero/zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("atanh: DOMAIN error\n", 20); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 31: |
| case 131: |
| /* atanh(|x|=1) */ |
| exc.type = SING; |
| exc.name = type < 100 ? "atanh" : "atanhf"; |
| exc.retval = x/zero; /* sign(x)*inf */ |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("atanh: SING error\n", 18); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 32: |
| case 132: |
| /* scalb overflow; SVID also returns +-HUGE_VAL */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "scalb" : "scalbf"; |
| exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 33: |
| case 133: |
| /* scalb underflow */ |
| exc.type = UNDERFLOW; |
| exc.name = type < 100 ? "scalb" : "scalbf"; |
| exc.retval = copysign(zero,x); |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 34: |
| case 134: |
| /* j0(|x|>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "j0" : "j0f"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 35: |
| case 135: |
| /* y0(x>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "y0" : "y0f"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 36: |
| case 136: |
| /* j1(|x|>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "j1" : "j1f"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 37: |
| case 137: |
| /* y1(x>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "y1" : "y1f"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 38: |
| case 138: |
| /* jn(|x|>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "jn" : "jnf"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 39: |
| case 139: |
| /* yn(x>X_TLOSS) */ |
| exc.type = TLOSS; |
| exc.name = type < 100 ? "yn" : "ynf"; |
| exc.retval = zero; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2(exc.name, 2); |
| (void) WRITE2(": TLOSS error\n", 14); |
| } |
| errno = ERANGE; |
| } |
| break; |
| case 40: |
| case 140: |
| /* gamma(finite) overflow */ |
| exc.type = OVERFLOW; |
| exc.name = type < 100 ? "gamma" : "gammaf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = ERANGE; |
| else if (!matherr(&exc)) { |
| errno = ERANGE; |
| } |
| break; |
| case 41: |
| case 141: |
| /* gamma(-integer) or gamma(0) */ |
| exc.type = SING; |
| exc.name = type < 100 ? "gamma" : "gammaf"; |
| if (_LIB_VERSION == _SVID_) |
| exc.retval = HUGE_VAL; |
| else |
| exc.retval = HUGE_VAL; |
| if (_LIB_VERSION == _POSIX_) |
| errno = EDOM; |
| else if (!matherr(&exc)) { |
| if (_LIB_VERSION == _SVID_) { |
| (void) WRITE2("gamma: SING error\n", 18); |
| } |
| errno = EDOM; |
| } |
| break; |
| case 42: |
| case 142: |
| /* pow(NaN,0.0) */ |
| /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */ |
| exc.type = DOMAIN; |
| exc.name = type < 100 ? "pow" : "powf"; |
| exc.retval = x; |
| if (_LIB_VERSION == _IEEE_ || |
| _LIB_VERSION == _POSIX_) exc.retval = 1.0; |
| else if (!matherr(&exc)) { |
| errno = EDOM; |
| } |
| break; |
| } |
| return exc.retval; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/k_tan.c |
|---|
| 0,0 → 1,132 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_tan.c,v 1.6 1994/08/18 23:06:16 jtc Exp $"; |
| #endif |
| /* __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 "math.h" |
| #include "math_private.h" |
| #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 */ |
| u_int32_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); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/kf_cos.c |
|---|
| 0,0 → 1,65 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* k_cosf.c -- float version of k_cos.c |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_cosf.c,v 1.2 1994/08/18 23:06:10 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0000000000e+00, /* 0x3f800000 */ |
| C1 = 4.1666667908e-02, /* 0x3d2aaaab */ |
| C2 = -1.3888889225e-03, /* 0xbab60b61 */ |
| C3 = 2.4801587642e-05, /* 0x37d00d01 */ |
| C4 = -2.7557314297e-07, /* 0xb493f27c */ |
| C5 = 2.0875723372e-09, /* 0x310f74f6 */ |
| C6 = -1.1359647598e-11; /* 0xad47d74e */ |
| #ifdef __STDC__ |
| float __kernel_cosf(float x, float y) |
| #else |
| float __kernel_cosf(x, y) |
| float x,y; |
| #endif |
| { |
| float a,hz,z,r,qx; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; /* ix = |x|'s high word*/ |
| if(ix<0x32000000) { /* if x < 2**27 */ |
| if(((int)x)==0) return one; /* generate inexact */ |
| } |
| z = x*x; |
| r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6))))); |
| if(ix < 0x3e99999a) /* if |x| < 0.3 */ |
| return one - ((float)0.5*z - (z*r - x*y)); |
| else { |
| if(ix > 0x3f480000) { /* x > 0.78125 */ |
| qx = (float)0.28125; |
| } else { |
| SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */ |
| } |
| hz = (float)0.5*z-qx; |
| a = one-qx; |
| return a - (hz - (z*r-x*y)); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/kf_rem_p.c |
|---|
| 0,0 → 1,214 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* k_rem_pio2f.c -- float version of k_rem_pio2.c |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_rem_pio2f.c,v 1.2 1994/08/18 23:06:12 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| /* In the float version, the input parameter x contains 8 bit |
| integers, not 24 bit integers. 113 bit precision is not supported. */ |
| #ifdef __STDC__ |
| static const int init_jk[] = {4,7,9}; /* initial value for jk */ |
| #else |
| static int init_jk[] = {4,7,9}; |
| #endif |
| #ifdef __STDC__ |
| static const float PIo2[] = { |
| #else |
| static float PIo2[] = { |
| #endif |
| 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 */ |
| }; |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| zero = 0.0, |
| one = 1.0, |
| two8 = 2.5600000000e+02, /* 0x43800000 */ |
| twon8 = 3.9062500000e-03; /* 0x3b800000 */ |
| #ifdef __STDC__ |
| int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2) |
| #else |
| int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2) |
| float x[], y[]; int e0,nx,prec; int32_t ipio2[]; |
| #endif |
| { |
| int32_t 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)((int32_t)(twon8* z)); |
| iq[i] = (int32_t)(z-two8*fw); |
| z = q[j-1]+fw; |
| } |
| /* compute n */ |
| z = scalbnf(z,q0); /* actual value of z */ |
| z -= (float)8.0*floorf(z*(float)0.125); /* trim off integer >= 8 */ |
| n = (int32_t) 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;i<jz ;i++) { /* compute 1-q */ |
| j = iq[i]; |
| if(carry==0) { |
| if(j!=0) { |
| carry = 1; iq[i] = 0x100- j; |
| } |
| } else iq[i] = 0xff - j; |
| } |
| if(q0>0) { /* 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,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,-q0); |
| if(z>=two8) { |
| fw = (float)((int32_t)(twon8*z)); |
| iq[jz] = (int32_t)(z-two8*fw); |
| jz += 1; q0 += 8; |
| iq[jz] = (int32_t) fw; |
| } else iq[jz] = (int32_t) z ; |
| } |
| /* convert integer "bit" chunk to floating-point value */ |
| fw = scalbnf(one,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; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/kf_sin.c |
|---|
| 0,0 → 1,55 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* k_sinf.c -- float version of k_sin.c |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_sinf.c,v 1.2 1994/08/18 23:06:15 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| half = 5.0000000000e-01,/* 0x3f000000 */ |
| S1 = -1.6666667163e-01, /* 0xbe2aaaab */ |
| S2 = 8.3333337680e-03, /* 0x3c088889 */ |
| S3 = -1.9841270114e-04, /* 0xb9500d01 */ |
| S4 = 2.7557314297e-06, /* 0x3638ef1b */ |
| S5 = -2.5050759689e-08, /* 0xb2d72f34 */ |
| S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */ |
| #ifdef __STDC__ |
| float __kernel_sinf(float x, float y, int iy) |
| #else |
| float __kernel_sinf(x, y, iy) |
| float x,y; int iy; /* iy=0 if y is zero */ |
| #endif |
| { |
| float z,r,v; |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; /* high word of x */ |
| if(ix<0x32000000) /* |x| < 2**-27 */ |
| {if((int)x==0) return x;} /* generate inexact */ |
| z = x*x; |
| v = z*x; |
| r = S2+z*(S3+z*(S4+z*(S5+z*S6))); |
| if(iy==0) return x+v*(S1+z*r); |
| else return x-((z*(half*y-v*r)-y)-v*S1); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/kf_tan.c |
|---|
| 0,0 → 1,102 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* k_tanf.c -- float version of k_tan.c |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: k_tanf.c,v 1.2 1994/08/18 23:06:18 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| 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 */ |
| }; |
| #ifdef __STDC__ |
| float __kernel_tanf(float x, float y, int iy) |
| #else |
| float __kernel_tanf(x, y, iy) |
| float x,y; int iy; |
| #endif |
| { |
| float z,r,v,w,s; |
| int32_t 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; |
| int32_t i; |
| z = w; |
| GET_FLOAT_WORD(i,z); |
| SET_FLOAT_WORD(z,i&0xfffff000); |
| 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&0xfffff000); |
| s = (float)1.0+t*z; |
| return t+a*(s+t*v); |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/math-pri.h |
|---|
| 0,0 → 1,228 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| /* |
| * from: @(#)fdlibm.h 5.1 93/09/24 |
| * $Id: math_private.h,v 1.2 1994/08/18 23:06:19 jtc Exp $ |
| */ |
| #ifndef _MATH_PRIVATE_H_ |
| #define _MATH_PRIVATE_H_ |
| #include <machine/endian.h> |
| #if !defined(__NetBSD__) && !defined(__FreeBSD__) |
| typedef int int32_t; |
| typedef unsigned int u_int32_t; |
| #endif |
| /* The original fdlibm code used statements like: |
| n0 = ((*(int*)&one)>>29)^1; * index of high word * |
| ix0 = *(n0+(int*)&x); * high word of x * |
| ix1 = *((1-n0)+(int*)&x); * low word of x * |
| to dig two 32 bit words out of the 64 bit IEEE floating point |
| value. That is non-ANSI, and, moreover, the gcc instruction |
| scheduler gets it wrong. We instead use the following macros. |
| Unlike the original code, we determine the endianness at compile |
| time, not at run time; I don't see much benefit to selecting |
| endianness at run time. */ |
| /* A union which permits us to convert between a double and two 32 bit |
| ints. */ |
| #if BYTE_ORDER == BIG_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t msw; |
| u_int32_t lsw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| #if BYTE_ORDER == LITTLE_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t lsw; |
| u_int32_t msw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| /* Get two 32 bit ints from a double. */ |
| #define EXTRACT_WORDS(ix0,ix1,d) \ |
| do { \ |
| ieee_double_shape_type ew_u; \ |
| ew_u.value = (d); \ |
| (ix0) = ew_u.parts.msw; \ |
| (ix1) = ew_u.parts.lsw; \ |
| } while (0) |
| /* Get the more significant 32 bit int from a double. */ |
| #define GET_HIGH_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gh_u; \ |
| gh_u.value = (d); \ |
| (i) = gh_u.parts.msw; \ |
| } while (0) |
| /* Get the less significant 32 bit int from a double. */ |
| #define GET_LOW_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gl_u; \ |
| gl_u.value = (d); \ |
| (i) = gl_u.parts.lsw; \ |
| } while (0) |
| /* Set a double from two 32 bit ints. */ |
| #define INSERT_WORDS(d,ix0,ix1) \ |
| do { \ |
| ieee_double_shape_type iw_u; \ |
| iw_u.parts.msw = (ix0); \ |
| iw_u.parts.lsw = (ix1); \ |
| (d) = iw_u.value; \ |
| } while (0) |
| /* Set the more significant 32 bits of a double from an int. */ |
| #define SET_HIGH_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sh_u; \ |
| sh_u.value = (d); \ |
| sh_u.parts.msw = (v); \ |
| (d) = sh_u.value; \ |
| } while (0) |
| /* Set the less significant 32 bits of a double from an int. */ |
| #define SET_LOW_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sl_u; \ |
| sl_u.value = (d); \ |
| sl_u.parts.lsw = (v); \ |
| (d) = sl_u.value; \ |
| } while (0) |
| /* A union which permits us to convert between a float and a 32 bit |
| int. */ |
| typedef union |
| { |
| float value; |
| /* FIXME: Assumes 32 bit int. */ |
| unsigned int word; |
| } ieee_float_shape_type; |
| /* Get a 32 bit int from a float. */ |
| #define GET_FLOAT_WORD(i,d) \ |
| do { \ |
| ieee_float_shape_type gf_u; \ |
| gf_u.value = (d); \ |
| (i) = gf_u.word; \ |
| } while (0) |
| /* Set a float from a 32 bit int. */ |
| #define SET_FLOAT_WORD(d,i) \ |
| do { \ |
| ieee_float_shape_type sf_u; \ |
| sf_u.word = (i); \ |
| (d) = sf_u.value; \ |
| } while (0) |
| /* ieee style elementary functions */ |
| extern double __ieee754_sqrt __P((double)); |
| extern double __ieee754_acos __P((double)); |
| extern double __ieee754_acosh __P((double)); |
| extern double __ieee754_log __P((double)); |
| extern double __ieee754_atanh __P((double)); |
| extern double __ieee754_asin __P((double)); |
| extern double __ieee754_atan2 __P((double,double)); |
| extern double __ieee754_exp __P((double)); |
| extern double __ieee754_cosh __P((double)); |
| extern double __ieee754_fmod __P((double,double)); |
| extern double __ieee754_pow __P((double,double)); |
| extern double __ieee754_lgamma_r __P((double,int *)); |
| extern double __ieee754_gamma_r __P((double,int *)); |
| extern double __ieee754_lgamma __P((double)); |
| extern double __ieee754_gamma __P((double)); |
| extern double __ieee754_log10 __P((double)); |
| extern double __ieee754_sinh __P((double)); |
| extern double __ieee754_hypot __P((double,double)); |
| extern double __ieee754_j0 __P((double)); |
| extern double __ieee754_j1 __P((double)); |
| extern double __ieee754_y0 __P((double)); |
| extern double __ieee754_y1 __P((double)); |
| extern double __ieee754_jn __P((int,double)); |
| extern double __ieee754_yn __P((int,double)); |
| extern double __ieee754_remainder __P((double,double)); |
| extern int __ieee754_rem_pio2 __P((double,double*)); |
| extern double __ieee754_scalb __P((double,double)); |
| /* fdlibm kernel function */ |
| extern double __kernel_standard __P((double,double,int)); |
| extern double __kernel_sin __P((double,double,int)); |
| extern double __kernel_cos __P((double,double)); |
| extern double __kernel_tan __P((double,double,int)); |
| extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); |
| /* ieee style elementary float functions */ |
| extern float __ieee754_sqrtf __P((float)); |
| extern float __ieee754_acosf __P((float)); |
| extern float __ieee754_acoshf __P((float)); |
| extern float __ieee754_logf __P((float)); |
| extern float __ieee754_atanhf __P((float)); |
| extern float __ieee754_asinf __P((float)); |
| extern float __ieee754_atan2f __P((float,float)); |
| extern float __ieee754_expf __P((float)); |
| extern float __ieee754_coshf __P((float)); |
| extern float __ieee754_fmodf __P((float,float)); |
| extern float __ieee754_powf __P((float,float)); |
| extern float __ieee754_lgammaf_r __P((float,int *)); |
| extern float __ieee754_gammaf_r __P((float,int *)); |
| extern float __ieee754_lgammaf __P((float)); |
| extern float __ieee754_gammaf __P((float)); |
| extern float __ieee754_log10f __P((float)); |
| extern float __ieee754_sinhf __P((float)); |
| extern float __ieee754_hypotf __P((float,float)); |
| extern float __ieee754_j0f __P((float)); |
| extern float __ieee754_j1f __P((float)); |
| extern float __ieee754_y0f __P((float)); |
| extern float __ieee754_y1f __P((float)); |
| extern float __ieee754_jnf __P((int,float)); |
| extern float __ieee754_ynf __P((int,float)); |
| extern float __ieee754_remainderf __P((float,float)); |
| extern int __ieee754_rem_pio2f __P((float,float*)); |
| extern float __ieee754_scalbf __P((float,float)); |
| /* float versions of fdlibm kernel functions */ |
| extern float __kernel_sinf __P((float,float,int)); |
| extern float __kernel_cosf __P((float,float)); |
| extern float __kernel_tanf __P((float,float,int)); |
| extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); |
| #endif /* _MATH_PRIVATE_H_ */ |
| /programs/develop/libraries/menuetlibc/src/libm/math_pri.h |
|---|
| 0,0 → 1,228 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| /* |
| * from: @(#)fdlibm.h 5.1 93/09/24 |
| * $Id: math_private.h,v 1.2 1994/08/18 23:06:19 jtc Exp $ |
| */ |
| #ifndef _MATH_PRIVATE_H_ |
| #define _MATH_PRIVATE_H_ |
| #include <machine/endian.h> |
| #if !defined(__NetBSD__) && !defined(__FreeBSD__) |
| typedef int int32_t; |
| typedef unsigned int u_int32_t; |
| #endif |
| /* The original fdlibm code used statements like: |
| n0 = ((*(int*)&one)>>29)^1; * index of high word * |
| ix0 = *(n0+(int*)&x); * high word of x * |
| ix1 = *((1-n0)+(int*)&x); * low word of x * |
| to dig two 32 bit words out of the 64 bit IEEE floating point |
| value. That is non-ANSI, and, moreover, the gcc instruction |
| scheduler gets it wrong. We instead use the following macros. |
| Unlike the original code, we determine the endianness at compile |
| time, not at run time; I don't see much benefit to selecting |
| endianness at run time. */ |
| /* A union which permits us to convert between a double and two 32 bit |
| ints. */ |
| #if BYTE_ORDER == BIG_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t msw; |
| u_int32_t lsw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| #if BYTE_ORDER == LITTLE_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t lsw; |
| u_int32_t msw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| /* Get two 32 bit ints from a double. */ |
| #define EXTRACT_WORDS(ix0,ix1,d) \ |
| do { \ |
| ieee_double_shape_type ew_u; \ |
| ew_u.value = (d); \ |
| (ix0) = ew_u.parts.msw; \ |
| (ix1) = ew_u.parts.lsw; \ |
| } while (0) |
| /* Get the more significant 32 bit int from a double. */ |
| #define GET_HIGH_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gh_u; \ |
| gh_u.value = (d); \ |
| (i) = gh_u.parts.msw; \ |
| } while (0) |
| /* Get the less significant 32 bit int from a double. */ |
| #define GET_LOW_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gl_u; \ |
| gl_u.value = (d); \ |
| (i) = gl_u.parts.lsw; \ |
| } while (0) |
| /* Set a double from two 32 bit ints. */ |
| #define INSERT_WORDS(d,ix0,ix1) \ |
| do { \ |
| ieee_double_shape_type iw_u; \ |
| iw_u.parts.msw = (ix0); \ |
| iw_u.parts.lsw = (ix1); \ |
| (d) = iw_u.value; \ |
| } while (0) |
| /* Set the more significant 32 bits of a double from an int. */ |
| #define SET_HIGH_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sh_u; \ |
| sh_u.value = (d); \ |
| sh_u.parts.msw = (v); \ |
| (d) = sh_u.value; \ |
| } while (0) |
| /* Set the less significant 32 bits of a double from an int. */ |
| #define SET_LOW_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sl_u; \ |
| sl_u.value = (d); \ |
| sl_u.parts.lsw = (v); \ |
| (d) = sl_u.value; \ |
| } while (0) |
| /* A union which permits us to convert between a float and a 32 bit |
| int. */ |
| typedef union |
| { |
| float value; |
| /* FIXME: Assumes 32 bit int. */ |
| unsigned int word; |
| } ieee_float_shape_type; |
| /* Get a 32 bit int from a float. */ |
| #define GET_FLOAT_WORD(i,d) \ |
| do { \ |
| ieee_float_shape_type gf_u; \ |
| gf_u.value = (d); \ |
| (i) = gf_u.word; \ |
| } while (0) |
| /* Set a float from a 32 bit int. */ |
| #define SET_FLOAT_WORD(d,i) \ |
| do { \ |
| ieee_float_shape_type sf_u; \ |
| sf_u.word = (i); \ |
| (d) = sf_u.value; \ |
| } while (0) |
| /* ieee style elementary functions */ |
| extern double __ieee754_sqrt __P((double)); |
| extern double __ieee754_acos __P((double)); |
| extern double __ieee754_acosh __P((double)); |
| extern double __ieee754_log __P((double)); |
| extern double __ieee754_atanh __P((double)); |
| extern double __ieee754_asin __P((double)); |
| extern double __ieee754_atan2 __P((double,double)); |
| extern double __ieee754_exp __P((double)); |
| extern double __ieee754_cosh __P((double)); |
| extern double __ieee754_fmod __P((double,double)); |
| extern double __ieee754_pow __P((double,double)); |
| extern double __ieee754_lgamma_r __P((double,int *)); |
| extern double __ieee754_gamma_r __P((double,int *)); |
| extern double __ieee754_lgamma __P((double)); |
| extern double __ieee754_gamma __P((double)); |
| extern double __ieee754_log10 __P((double)); |
| extern double __ieee754_sinh __P((double)); |
| extern double __ieee754_hypot __P((double,double)); |
| extern double __ieee754_j0 __P((double)); |
| extern double __ieee754_j1 __P((double)); |
| extern double __ieee754_y0 __P((double)); |
| extern double __ieee754_y1 __P((double)); |
| extern double __ieee754_jn __P((int,double)); |
| extern double __ieee754_yn __P((int,double)); |
| extern double __ieee754_remainder __P((double,double)); |
| extern int __ieee754_rem_pio2 __P((double,double*)); |
| extern double __ieee754_scalb __P((double,double)); |
| /* fdlibm kernel function */ |
| extern double __kernel_standard __P((double,double,int)); |
| extern double __kernel_sin __P((double,double,int)); |
| extern double __kernel_cos __P((double,double)); |
| extern double __kernel_tan __P((double,double,int)); |
| extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); |
| /* ieee style elementary float functions */ |
| extern float __ieee754_sqrtf __P((float)); |
| extern float __ieee754_acosf __P((float)); |
| extern float __ieee754_acoshf __P((float)); |
| extern float __ieee754_logf __P((float)); |
| extern float __ieee754_atanhf __P((float)); |
| extern float __ieee754_asinf __P((float)); |
| extern float __ieee754_atan2f __P((float,float)); |
| extern float __ieee754_expf __P((float)); |
| extern float __ieee754_coshf __P((float)); |
| extern float __ieee754_fmodf __P((float,float)); |
| extern float __ieee754_powf __P((float,float)); |
| extern float __ieee754_lgammaf_r __P((float,int *)); |
| extern float __ieee754_gammaf_r __P((float,int *)); |
| extern float __ieee754_lgammaf __P((float)); |
| extern float __ieee754_gammaf __P((float)); |
| extern float __ieee754_log10f __P((float)); |
| extern float __ieee754_sinhf __P((float)); |
| extern float __ieee754_hypotf __P((float,float)); |
| extern float __ieee754_j0f __P((float)); |
| extern float __ieee754_j1f __P((float)); |
| extern float __ieee754_y0f __P((float)); |
| extern float __ieee754_y1f __P((float)); |
| extern float __ieee754_jnf __P((int,float)); |
| extern float __ieee754_ynf __P((int,float)); |
| extern float __ieee754_remainderf __P((float,float)); |
| extern int __ieee754_rem_pio2f __P((float,float*)); |
| extern float __ieee754_scalbf __P((float,float)); |
| /* float versions of fdlibm kernel functions */ |
| extern float __kernel_sinf __P((float,float,int)); |
| extern float __kernel_cosf __P((float,float)); |
| extern float __kernel_tanf __P((float,float,int)); |
| extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); |
| #endif /* _MATH_PRIVATE_H_ */ |
| /programs/develop/libraries/menuetlibc/src/libm/math_private.h |
|---|
| 0,0 → 1,228 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| /* |
| * from: @(#)fdlibm.h 5.1 93/09/24 |
| * $Id: math_private.h,v 1.2 1994/08/18 23:06:19 jtc Exp $ |
| */ |
| #ifndef _MATH_PRIVATE_H_ |
| #define _MATH_PRIVATE_H_ |
| #include <machine/endian.h> |
| #if !defined(__NetBSD__) && !defined(__FreeBSD__) |
| typedef int int32_t; |
| typedef unsigned int u_int32_t; |
| #endif |
| /* The original fdlibm code used statements like: |
| n0 = ((*(int*)&one)>>29)^1; * index of high word * |
| ix0 = *(n0+(int*)&x); * high word of x * |
| ix1 = *((1-n0)+(int*)&x); * low word of x * |
| to dig two 32 bit words out of the 64 bit IEEE floating point |
| value. That is non-ANSI, and, moreover, the gcc instruction |
| scheduler gets it wrong. We instead use the following macros. |
| Unlike the original code, we determine the endianness at compile |
| time, not at run time; I don't see much benefit to selecting |
| endianness at run time. */ |
| /* A union which permits us to convert between a double and two 32 bit |
| ints. */ |
| #if BYTE_ORDER == BIG_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t msw; |
| u_int32_t lsw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| #if BYTE_ORDER == LITTLE_ENDIAN |
| typedef union |
| { |
| double value; |
| struct |
| { |
| u_int32_t lsw; |
| u_int32_t msw; |
| } parts; |
| } ieee_double_shape_type; |
| #endif |
| /* Get two 32 bit ints from a double. */ |
| #define EXTRACT_WORDS(ix0,ix1,d) \ |
| do { \ |
| ieee_double_shape_type ew_u; \ |
| ew_u.value = (d); \ |
| (ix0) = ew_u.parts.msw; \ |
| (ix1) = ew_u.parts.lsw; \ |
| } while (0) |
| /* Get the more significant 32 bit int from a double. */ |
| #define GET_HIGH_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gh_u; \ |
| gh_u.value = (d); \ |
| (i) = gh_u.parts.msw; \ |
| } while (0) |
| /* Get the less significant 32 bit int from a double. */ |
| #define GET_LOW_WORD(i,d) \ |
| do { \ |
| ieee_double_shape_type gl_u; \ |
| gl_u.value = (d); \ |
| (i) = gl_u.parts.lsw; \ |
| } while (0) |
| /* Set a double from two 32 bit ints. */ |
| #define INSERT_WORDS(d,ix0,ix1) \ |
| do { \ |
| ieee_double_shape_type iw_u; \ |
| iw_u.parts.msw = (ix0); \ |
| iw_u.parts.lsw = (ix1); \ |
| (d) = iw_u.value; \ |
| } while (0) |
| /* Set the more significant 32 bits of a double from an int. */ |
| #define SET_HIGH_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sh_u; \ |
| sh_u.value = (d); \ |
| sh_u.parts.msw = (v); \ |
| (d) = sh_u.value; \ |
| } while (0) |
| /* Set the less significant 32 bits of a double from an int. */ |
| #define SET_LOW_WORD(d,v) \ |
| do { \ |
| ieee_double_shape_type sl_u; \ |
| sl_u.value = (d); \ |
| sl_u.parts.lsw = (v); \ |
| (d) = sl_u.value; \ |
| } while (0) |
| /* A union which permits us to convert between a float and a 32 bit |
| int. */ |
| typedef union |
| { |
| float value; |
| /* FIXME: Assumes 32 bit int. */ |
| unsigned int word; |
| } ieee_float_shape_type; |
| /* Get a 32 bit int from a float. */ |
| #define GET_FLOAT_WORD(i,d) \ |
| do { \ |
| ieee_float_shape_type gf_u; \ |
| gf_u.value = (d); \ |
| (i) = gf_u.word; \ |
| } while (0) |
| /* Set a float from a 32 bit int. */ |
| #define SET_FLOAT_WORD(d,i) \ |
| do { \ |
| ieee_float_shape_type sf_u; \ |
| sf_u.word = (i); \ |
| (d) = sf_u.value; \ |
| } while (0) |
| /* ieee style elementary functions */ |
| extern double __ieee754_sqrt __P((double)); |
| extern double __ieee754_acos __P((double)); |
| extern double __ieee754_acosh __P((double)); |
| extern double __ieee754_log __P((double)); |
| extern double __ieee754_atanh __P((double)); |
| extern double __ieee754_asin __P((double)); |
| extern double __ieee754_atan2 __P((double,double)); |
| extern double __ieee754_exp __P((double)); |
| extern double __ieee754_cosh __P((double)); |
| extern double __ieee754_fmod __P((double,double)); |
| extern double __ieee754_pow __P((double,double)); |
| extern double __ieee754_lgamma_r __P((double,int *)); |
| extern double __ieee754_gamma_r __P((double,int *)); |
| extern double __ieee754_lgamma __P((double)); |
| extern double __ieee754_gamma __P((double)); |
| extern double __ieee754_log10 __P((double)); |
| extern double __ieee754_sinh __P((double)); |
| extern double __ieee754_hypot __P((double,double)); |
| extern double __ieee754_j0 __P((double)); |
| extern double __ieee754_j1 __P((double)); |
| extern double __ieee754_y0 __P((double)); |
| extern double __ieee754_y1 __P((double)); |
| extern double __ieee754_jn __P((int,double)); |
| extern double __ieee754_yn __P((int,double)); |
| extern double __ieee754_remainder __P((double,double)); |
| extern int __ieee754_rem_pio2 __P((double,double*)); |
| extern double __ieee754_scalb __P((double,double)); |
| /* fdlibm kernel function */ |
| extern double __kernel_standard __P((double,double,int)); |
| extern double __kernel_sin __P((double,double,int)); |
| extern double __kernel_cos __P((double,double)); |
| extern double __kernel_tan __P((double,double,int)); |
| extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*)); |
| /* ieee style elementary float functions */ |
| extern float __ieee754_sqrtf __P((float)); |
| extern float __ieee754_acosf __P((float)); |
| extern float __ieee754_acoshf __P((float)); |
| extern float __ieee754_logf __P((float)); |
| extern float __ieee754_atanhf __P((float)); |
| extern float __ieee754_asinf __P((float)); |
| extern float __ieee754_atan2f __P((float,float)); |
| extern float __ieee754_expf __P((float)); |
| extern float __ieee754_coshf __P((float)); |
| extern float __ieee754_fmodf __P((float,float)); |
| extern float __ieee754_powf __P((float,float)); |
| extern float __ieee754_lgammaf_r __P((float,int *)); |
| extern float __ieee754_gammaf_r __P((float,int *)); |
| extern float __ieee754_lgammaf __P((float)); |
| extern float __ieee754_gammaf __P((float)); |
| extern float __ieee754_log10f __P((float)); |
| extern float __ieee754_sinhf __P((float)); |
| extern float __ieee754_hypotf __P((float,float)); |
| extern float __ieee754_j0f __P((float)); |
| extern float __ieee754_j1f __P((float)); |
| extern float __ieee754_y0f __P((float)); |
| extern float __ieee754_y1f __P((float)); |
| extern float __ieee754_jnf __P((int,float)); |
| extern float __ieee754_ynf __P((int,float)); |
| extern float __ieee754_remainderf __P((float,float)); |
| extern int __ieee754_rem_pio2f __P((float,float*)); |
| extern float __ieee754_scalbf __P((float,float)); |
| /* float versions of fdlibm kernel functions */ |
| extern float __kernel_sinf __P((float,float,int)); |
| extern float __kernel_cosf __P((float,float)); |
| extern float __kernel_tanf __P((float,float,int)); |
| extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*)); |
| #endif /* _MATH_PRIVATE_H_ */ |
| /programs/develop/libraries/menuetlibc/src/libm/s_asinh.c |
|---|
| 0,0 → 1,66 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_asinh.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_asinh.c,v 1.6 1994/08/18 23:06:20 jtc Exp $"; |
| #endif |
| /* asinh(x) |
| * Method : |
| * Based on |
| * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] |
| * we have |
| * asinh(x) := x if 1+x*x=1, |
| * := sign(x)*(log(x)+ln2)) for large |x|, else |
| * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else |
| * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
| ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ |
| huge= 1.00000000000000000000e+300; |
| #ifdef __STDC__ |
| double asinh(double x) |
| #else |
| double asinh(x) |
| double x; |
| #endif |
| { |
| double t,w; |
| int32_t hx,ix; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */ |
| if(ix< 0x3e300000) { /* |x|<2**-28 */ |
| if(huge+x>one) return x; /* return x inexact except 0 */ |
| } |
| if(ix>0x41b00000) { /* |x| > 2**28 */ |
| w = __ieee754_log(fabs(x))+ln2; |
| } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */ |
| t = fabs(x); |
| w = __ieee754_log(2.0*t+one/(sqrt(x*x+one)+t)); |
| } else { /* 2.0 > |x| > 2**-28 */ |
| t = x*x; |
| w =log1p(fabs(x)+t/(one+sqrt(one+t))); |
| } |
| if(hx>0) return w; else return -w; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_atan.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(atan) |
| fldl 4(%esp) |
| fld1 |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_cbrt.c |
|---|
| 0,0 → 1,94 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_cbrt.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_cbrt.c,v 1.6 1994/08/18 23:06:25 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| /* cbrt(x) |
| * Return cube root of x |
| */ |
| #ifdef __STDC__ |
| static const u_int32_t |
| #else |
| static u_int32_t |
| #endif |
| B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */ |
| B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */ |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| C = 5.42857142857142815906e-01, /* 19/35 = 0x3FE15F15, 0xF15F15F1 */ |
| D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */ |
| E = 1.41428571428571436819e+00, /* 99/70 = 0x3FF6A0EA, 0x0EA0EA0F */ |
| F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */ |
| G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */ |
| #ifdef __STDC__ |
| double cbrt(double x) |
| #else |
| double cbrt(x) |
| double x; |
| #endif |
| { |
| int32_t hx; |
| double r,s,t=0.0,w; |
| u_int32_t sign; |
| u_int32_t high,low; |
| GET_HIGH_WORD(hx,x); |
| sign=hx&0x80000000; /* sign= sign(x) */ |
| hx ^=sign; |
| if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */ |
| GET_LOW_WORD(low,x); |
| if((hx|low)==0) |
| return(x); /* cbrt(0) is itself */ |
| SET_HIGH_WORD(x,hx); /* x <- |x| */ |
| /* rough cbrt to 5 bits */ |
| if(hx<0x00100000) /* subnormal number */ |
| {SET_HIGH_WORD(t,0x43500000); /* set t= 2**54 */ |
| t*=x; GET_HIGH_WORD(high,t); SET_HIGH_WORD(t,high/3+B2); |
| } |
| else |
| SET_HIGH_WORD(t,hx/3+B1); |
| /* new cbrt to 23 bits, may be implemented in single precision */ |
| r=t*t/x; |
| s=C+r*t; |
| t*=G+F/(s+E+D/s); |
| /* chopped to 20 bits and make it larger than cbrt(x) */ |
| GET_HIGH_WORD(high,t); |
| INSERT_WORDS(t,high+0x00000001,0); |
| /* one step newton iteration to 53 bits with error less than 0.667 ulps */ |
| s=t*t; /* t*t is exact */ |
| r=x/s; |
| w=t+t; |
| r=(r-t)/(w+r); /* r-s is exact */ |
| t=t+t*r; |
| /* retore the sign bit */ |
| GET_HIGH_WORD(high,t); |
| SET_HIGH_WORD(t,high|sign); |
| return(t); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_ceil.s |
|---|
| 0,0 → 1,21 |
| #include<libc/asm.h> |
| MK_C_SYM(ceil) |
| pushl %ebp |
| movl %esp,%ebp |
| subl $8,%esp |
| fstcw -12(%ebp) |
| movw -12(%ebp),%dx |
| orw $0x0800,%dx |
| andw $0xfbff,%dx |
| movw %dx,-16(%ebp) |
| fldcw -16(%ebp) |
| fldl 8(%ebp); |
| frndint |
| fldcw -12(%ebp) |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_copysi.s |
|---|
| 0,0 → 1,10 |
| #include<libc/asm.h> |
| MK_C_SYM(copysign) |
| movl 16(%esp),%edx |
| andl $0x80000000,%edx |
| movl 8(%esp),%eax |
| andl $0x7fffffff,%eax |
| orl %edx,%eax |
| movl %eax,8(%esp) |
| fldl 4(%esp) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_cos.s |
|---|
| 0,0 → 1,18 |
| #include<libc/asm.h> |
| MK_C_SYM(cos) |
| fldl 4(%esp) |
| fcos |
| fnstsw %ax |
| andw $0x400,%ax |
| jnz 1f |
| ret |
| 1: fldpi |
| fadd %st(0) |
| fxch %st(1) |
| 2: fprem1 |
| fnstsw %ax |
| andw $0x400,%ax |
| jnz 2b |
| fstp %st(1) |
| fcos |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_erf.c |
|---|
| 0,0 → 1,315 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_erf.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $"; |
| #endif |
| /* double erf(double x) |
| * double erfc(double x) |
| * x |
| * 2 |\ |
| * erf(x) = --------- | exp(-t*t)dt |
| * sqrt(pi) \| |
| * 0 |
| * |
| * erfc(x) = 1-erf(x) |
| * Note that |
| * erf(-x) = -erf(x) |
| * erfc(-x) = 2 - erfc(x) |
| * |
| * Method: |
| * 1. For |x| in [0, 0.84375] |
| * erf(x) = x + x*R(x^2) |
| * erfc(x) = 1 - erf(x) if x in [-.84375,0.25] |
| * = 0.5 + ((0.5-x)-x*R) if x in [0.25,0.84375] |
| * where R = P/Q where P is an odd poly of degree 8 and |
| * Q is an odd poly of degree 10. |
| * -57.90 |
| * | R - (erf(x)-x)/x | <= 2 |
| * |
| * |
| * Remark. The formula is derived by noting |
| * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....) |
| * and that |
| * 2/sqrt(pi) = 1.128379167095512573896158903121545171688 |
| * is close to one. The interval is chosen because the fix |
| * point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is |
| * near 0.6174), and by some experiment, 0.84375 is chosen to |
| * guarantee the error is less than one ulp for erf. |
| * |
| * 2. For |x| in [0.84375,1.25], let s = |x| - 1, and |
| * c = 0.84506291151 rounded to single (24 bits) |
| * erf(x) = sign(x) * (c + P1(s)/Q1(s)) |
| * erfc(x) = (1-c) - P1(s)/Q1(s) if x > 0 |
| * 1+(c+P1(s)/Q1(s)) if x < 0 |
| * |P1/Q1 - (erf(|x|)-c)| <= 2**-59.06 |
| * Remark: here we use the taylor series expansion at x=1. |
| * erf(1+s) = erf(1) + s*Poly(s) |
| * = 0.845.. + P1(s)/Q1(s) |
| * That is, we use rational approximation to approximate |
| * erf(1+s) - (c = (single)0.84506291151) |
| * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25] |
| * where |
| * P1(s) = degree 6 poly in s |
| * Q1(s) = degree 6 poly in s |
| * |
| * 3. For x in [1.25,1/0.35(~2.857143)], |
| * erfc(x) = (1/x)*exp(-x*x-0.5625+R1/S1) |
| * erf(x) = 1 - erfc(x) |
| * where |
| * R1(z) = degree 7 poly in z, (z=1/x^2) |
| * S1(z) = degree 8 poly in z |
| * |
| * 4. For x in [1/0.35,28] |
| * erfc(x) = (1/x)*exp(-x*x-0.5625+R2/S2) if x > 0 |
| * = 2.0 - (1/x)*exp(-x*x-0.5625+R2/S2) if -6<x<0 |
| * = 2.0 - tiny (if x <= -6) |
| * erf(x) = sign(x)*(1.0 - erfc(x)) if x < 6, else |
| * erf(x) = sign(x)*(1.0 - tiny) |
| * where |
| * R2(z) = degree 6 poly in z, (z=1/x^2) |
| * S2(z) = degree 7 poly in z |
| * |
| * Note1: |
| * To compute exp(-x*x-0.5625+R/S), let s be a single |
| * precision number and s := x; then |
| * -x*x = -s*s + (s-x)*(s+x) |
| * exp(-x*x-0.5626+R/S) = |
| * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S); |
| * Note2: |
| * Here 4 and 5 make use of the asymptotic series |
| * exp(-x*x) |
| * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) ) |
| * x*sqrt(pi) |
| * We use rational approximation to approximate |
| * g(s)=f(1/x^2) = log(erfc(x)*x) - x*x + 0.5625 |
| * Here is the error bound for R1/S1 and R2/S2 |
| * |R1/S1 - f(x)| < 2**(-62.57) |
| * |R2/S2 - f(x)| < 2**(-61.52) |
| * |
| * 5. For inf > x >= 28 |
| * erf(x) = sign(x) *(1 - tiny) (raise inexact) |
| * erfc(x) = tiny*tiny (raise underflow) if x > 0 |
| * = 2 - tiny if x<0 |
| * |
| * 7. Special case: |
| * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1, |
| * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2, |
| * erfc/erf(NaN) is NaN |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| tiny = 1e-300, |
| half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ |
| one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
| two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */ |
| /* c = (float)0.84506291151 */ |
| erx = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */ |
| /* |
| * Coefficients for approximation to erf on [0,0.84375] |
| */ |
| efx = 1.28379167095512586316e-01, /* 0x3FC06EBA, 0x8214DB69 */ |
| efx8= 1.02703333676410069053e+00, /* 0x3FF06EBA, 0x8214DB69 */ |
| pp0 = 1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */ |
| pp1 = -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */ |
| pp2 = -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */ |
| pp3 = -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */ |
| pp4 = -2.37630166566501626084e-05, /* 0xBEF8EAD6, 0x120016AC */ |
| qq1 = 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */ |
| qq2 = 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */ |
| qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */ |
| qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */ |
| qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */ |
| /* |
| * Coefficients for approximation to erf in [0.84375,1.25] |
| */ |
| pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */ |
| pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */ |
| pa2 = -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */ |
| pa3 = 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */ |
| pa4 = -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */ |
| pa5 = 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */ |
| pa6 = -2.16637559486879084300e-03, /* 0xBF61BF38, 0x0A96073F */ |
| qa1 = 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */ |
| qa2 = 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */ |
| qa3 = 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */ |
| qa4 = 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */ |
| qa5 = 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */ |
| qa6 = 1.19844998467991074170e-02, /* 0x3F888B54, 0x5735151D */ |
| /* |
| * Coefficients for approximation to erfc in [1.25,1/0.35] |
| */ |
| ra0 = -9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */ |
| ra1 = -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */ |
| ra2 = -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */ |
| ra3 = -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */ |
| ra4 = -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */ |
| ra5 = -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */ |
| ra6 = -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */ |
| ra7 = -9.81432934416914548592e+00, /* 0xC023A0EF, 0xC69AC25C */ |
| sa1 = 1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */ |
| sa2 = 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */ |
| sa3 = 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */ |
| sa4 = 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */ |
| sa5 = 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */ |
| sa6 = 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */ |
| sa7 = 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */ |
| sa8 = -6.04244152148580987438e-02, /* 0xBFAEEFF2, 0xEE749A62 */ |
| /* |
| * Coefficients for approximation to erfc in [1/.35,28] |
| */ |
| rb0 = -9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */ |
| rb1 = -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */ |
| rb2 = -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */ |
| rb3 = -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */ |
| rb4 = -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */ |
| rb5 = -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */ |
| rb6 = -4.83519191608651397019e+02, /* 0xC07E384E, 0x9BDC383F */ |
| sb1 = 3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */ |
| sb2 = 3.25792512996573918826e+02, /* 0x40745CAE, 0x221B9F0A */ |
| sb3 = 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */ |
| sb4 = 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */ |
| sb5 = 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */ |
| sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */ |
| sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */ |
| #ifdef __STDC__ |
| double erf(double x) |
| #else |
| double erf(x) |
| double x; |
| #endif |
| { |
| int32_t hx,ix,i; |
| double R,S,P,Q,s,y,z,r; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) { /* erf(nan)=nan */ |
| i = ((u_int32_t)hx>>31)<<1; |
| return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */ |
| } |
| if(ix < 0x3feb0000) { /* |x|<0.84375 */ |
| if(ix < 0x3e300000) { /* |x|<2**-28 */ |
| if (ix < 0x00800000) |
| return 0.125*(8.0*x+efx8*x); /*avoid underflow */ |
| return x + efx*x; |
| } |
| z = x*x; |
| r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); |
| s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); |
| y = r/s; |
| return x + x*y; |
| } |
| if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */ |
| s = fabs(x)-one; |
| P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); |
| Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); |
| if(hx>=0) return erx + P/Q; else return -erx - P/Q; |
| } |
| if (ix >= 0x40180000) { /* inf>|x|>=6 */ |
| if(hx>=0) return one-tiny; else return tiny-one; |
| } |
| x = fabs(x); |
| s = one/(x*x); |
| if(ix< 0x4006DB6E) { /* |x| < 1/0.35 */ |
| R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( |
| ra5+s*(ra6+s*ra7)))))); |
| S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( |
| sa5+s*(sa6+s*(sa7+s*sa8))))))); |
| } else { /* |x| >= 1/0.35 */ |
| R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( |
| rb5+s*rb6))))); |
| S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( |
| sb5+s*(sb6+s*sb7)))))); |
| } |
| z = x; |
| SET_LOW_WORD(z,0); |
| r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S); |
| if(hx>=0) return one-r/x; else return r/x-one; |
| } |
| #ifdef __STDC__ |
| double erfc(double x) |
| #else |
| double erfc(x) |
| double x; |
| #endif |
| { |
| int32_t hx,ix; |
| double R,S,P,Q,s,y,z,r; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7ff00000) { /* erfc(nan)=nan */ |
| /* erfc(+-inf)=0,2 */ |
| return (double)(((u_int32_t)hx>>31)<<1)+one/x; |
| } |
| if(ix < 0x3feb0000) { /* |x|<0.84375 */ |
| if(ix < 0x3c700000) /* |x|<2**-56 */ |
| return one-x; |
| z = x*x; |
| r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); |
| s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); |
| y = r/s; |
| if(hx < 0x3fd00000) { /* x<1/4 */ |
| return one-(x+x*y); |
| } else { |
| r = x*y; |
| r += (x-half); |
| return half - r ; |
| } |
| } |
| if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */ |
| s = fabs(x)-one; |
| P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); |
| Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); |
| if(hx>=0) { |
| z = one-erx; return z - P/Q; |
| } else { |
| z = erx+P/Q; return one+z; |
| } |
| } |
| if (ix < 0x403c0000) { /* |x|<28 */ |
| x = fabs(x); |
| s = one/(x*x); |
| if(ix< 0x4006DB6D) { /* |x| < 1/.35 ~ 2.857143*/ |
| R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( |
| ra5+s*(ra6+s*ra7)))))); |
| S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( |
| sa5+s*(sa6+s*(sa7+s*sa8))))))); |
| } else { /* |x| >= 1/.35 ~ 2.857143 */ |
| if(hx<0&&ix>=0x40180000) return two-tiny;/* x < -6 */ |
| R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( |
| rb5+s*rb6))))); |
| S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( |
| sb5+s*(sb6+s*sb7)))))); |
| } |
| z = x; |
| SET_LOW_WORD(z,0); |
| r = __ieee754_exp(-z*z-0.5625)* |
| __ieee754_exp((z-x)*(z+x)+R/S); |
| if(hx>0) return r/x; else return two-r/x; |
| } else { |
| if(hx>0) return tiny*tiny; else return two-tiny; |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_expm1.s |
|---|
| 0,0 → 1,17 |
| #include<libc/asm.h> |
| MK_C_SYM(expm1) |
| fldl 4(%esp) |
| fldl2e |
| fmulp |
| fstl %st(1) |
| frndint |
| fstl %st(2) |
| fsubrp |
| f2xm1 |
| fld1 |
| faddp |
| fscale |
| fld1 |
| fsubrp |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_fabs.c |
|---|
| 0,0 → 1,36 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_fabs.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_fabs.c,v 1.5 1994/08/18 23:06:42 jtc Exp $"; |
| #endif |
| /* |
| * fabs(x) returns the absolute value of x. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double fabs(double x) |
| #else |
| double fabs(x) |
| double x; |
| #endif |
| { |
| u_int32_t high; |
| GET_HIGH_WORD(high,x); |
| SET_HIGH_WORD(x,high&0x7fffffff); |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_finite.s |
|---|
| 0,0 → 1,8 |
| #include<libc/asm.h> |
| MK_C_SYM(finite) |
| movl 8(%esp),%eax |
| andl $0x7ff00000, %eax |
| cmpl $0x7ff00000, %eax |
| setne %al |
| andl $0x000000ff, %eax |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_floor.s |
|---|
| 0,0 → 1,20 |
| #include<libc/asm.h> |
| MK_C_SYM(floor) |
| pushl %ebp |
| movl %esp,%ebp |
| subl $8,%esp |
| fstcw -12(%ebp) |
| movw -12(%ebp),%dx |
| orw $0x0400,%dx |
| andw $0xf7ff,%dx |
| movw %dx,-16(%ebp) |
| fldcw -16(%ebp) |
| fldl 8(%ebp); |
| frndint |
| fldcw -12(%ebp) |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_frexp.c |
|---|
| 0,0 → 1,61 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_frexp.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_frexp.c,v 1.6 1994/08/18 23:06:49 jtc Exp $"; |
| #endif |
| /* |
| * for non-zero x |
| * x = frexp(arg,&exp); |
| * return a double fp quantity x such that 0.5 <= |x| <1.0 |
| * and the corresponding binary exponent "exp". That is |
| * arg = x*2^exp. |
| * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg |
| * with *exp=0. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ |
| two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */ |
| #ifdef __STDC__ |
| double frexp(double x, int *eptr) |
| #else |
| double frexp(x, eptr) |
| double x; int *eptr; |
| #endif |
| { |
| int32_t hx, ix, lx; |
| EXTRACT_WORDS(hx,lx,x); |
| ix = 0x7fffffff&hx; |
| *eptr = 0; |
| if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */ |
| if (ix<0x00100000) { /* subnormal */ |
| x *= two54; |
| GET_HIGH_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| *eptr = -54; |
| } |
| *eptr += (ix>>20)-1022; |
| hx = (hx&0x800fffff)|0x3fe00000; |
| SET_HIGH_WORD(x,hx); |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_ilogb.s |
|---|
| 0,0 → 1,15 |
| #include<libc/asm.h> |
| MK_C_SYM(ilogb) |
| pushl %esp |
| movl %esp,%ebp |
| subl $4,%esp |
| fldl 8(%ebp) |
| fxtract |
| fstpl %st |
| fistpl -4(%ebp) |
| movl -4(%ebp),%eax |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_infini.c |
|---|
| 0,0 → 1,38 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * Copyright (c) 1994 Winning Strategies, Inc. |
| * 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. |
| * 3. All advertising materials mentioning features or use of this software |
| * must display the following acknowledgement: |
| * This product includes software developed by Winning Strategies, Inc. |
| * 4. The name of the author may not be used to endorse or promote products |
| * derived from this software without specific prior written permission. |
| * |
| * 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. |
| */ |
| #include <machine/endian.h> |
| #if BYTE_ORDER == LITTLE_ENDIAN |
| char __infinity[] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf0, 0x7f }; |
| #else |
| char __infinity[] = { 0x7f, 0xf0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }; |
| #endif |
| /programs/develop/libraries/menuetlibc/src/libm/s_isinf.c |
|---|
| 0,0 → 1,57 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * Copyright (c) 1994 Winning Strategies, Inc. |
| * 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. |
| * 3. All advertising materials mentioning features or use of this software |
| * must display the following acknowledgement: |
| * This product includes software developed by Winning Strategies, Inc. |
| * 4. The name of the author may not be used to endorse or promote products |
| * derived from this software without specific prior written permission. |
| * |
| * 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. |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_isinf.c,v 1.6 1994/08/18 23:06:54 jtc Exp $"; |
| #endif |
| /* |
| * isinf(x) returns 1 is x is inf, else 0; |
| * no branching! |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| int isinf(double x) |
| #else |
| int isinf(x) |
| double x; |
| #endif |
| { |
| int32_t hx,lx; |
| EXTRACT_WORDS(hx,lx,x); |
| hx &= 0x7fffffff; |
| hx ^= 0x7ff00000; |
| hx |= lx; |
| return (hx == 0); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_isnan.c |
|---|
| 0,0 → 1,39 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_isnan.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_isnan.c,v 1.6 1994/08/18 23:06:54 jtc Exp $"; |
| #endif |
| /* |
| * isnan(x) returns 1 is x is nan, else 0; |
| * no branching! |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| int isnan(double x) |
| #else |
| int isnan(x) |
| double x; |
| #endif |
| { |
| int32_t hx,lx; |
| EXTRACT_WORDS(hx,lx,x); |
| hx &= 0x7fffffff; |
| hx |= (u_int32_t)(lx|(-lx))>>31; |
| hx = 0x7ff00000 - hx; |
| return (int)((u_int32_t)(hx))>>31; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_ldexp.c |
|---|
| 0,0 → 1,33 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_ldexp.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_ldexp.c,v 1.4 1994/08/10 20:32:37 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #include <errno.h> |
| #ifdef __STDC__ |
| double ldexp(double value, int exp) |
| #else |
| double ldexp(value, exp) |
| double value; int exp; |
| #endif |
| { |
| if(!finite(value)||value==0.0) return value; |
| value = scalbn(value,exp); |
| if(!finite(value)||value==0.0) errno = ERANGE; |
| return value; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_libver.c |
|---|
| 0,0 → 1,40 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_lib_ver.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_lib_version.c,v 1.4 1994/08/10 20:32:40 jtc Exp $"; |
| #endif |
| /* |
| * MACRO for standards |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| /* |
| * define and initialize _LIB_VERSION |
| */ |
| #ifdef _POSIX_MODE |
| _LIB_VERSION_TYPE _LIB_VERSION = _POSIX_; |
| #else |
| #ifdef _XOPEN_MODE |
| _LIB_VERSION_TYPE _LIB_VERSION = _XOPEN_; |
| #else |
| #ifdef _SVID3_MODE |
| _LIB_VERSION_TYPE _LIB_VERSION = _SVID_; |
| #else /* default _IEEE_MODE */ |
| _LIB_VERSION_TYPE _LIB_VERSION = _IEEE_; |
| #endif |
| #endif |
| #endif |
| /programs/develop/libraries/menuetlibc/src/libm/s_log1p.s |
|---|
| 0,0 → 1,8 |
| #include<libc/asm.h> |
| MK_C_SYM(log1p) |
| fldln2 |
| fldl 4(%esp) |
| fld1 |
| faddp |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_logb.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(logb) |
| fldl 4(%esp) |
| fxtract |
| fstpl %st |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_mather.c |
|---|
| 0,0 → 1,31 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_matherr.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_matherr.c,v 1.4 1994/08/10 20:32:52 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| int matherr(struct exception *x) |
| #else |
| int matherr(x) |
| struct exception *x; |
| #endif |
| { |
| int n=0; |
| if(x->arg1!=x->arg1) return 0; |
| return n; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_modf.c |
|---|
| 0,0 → 1,84 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_modf.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_modf.c,v 1.6 1994/08/18 23:07:09 jtc Exp $"; |
| #endif |
| /* |
| * modf(double x, double *iptr) |
| * return fraction part of x, and return x's integral part in *iptr. |
| * Method: |
| * Bit twiddling. |
| * |
| * Exception: |
| * No exception. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double one = 1.0; |
| #else |
| static double one = 1.0; |
| #endif |
| #ifdef __STDC__ |
| double modf(double x, double *iptr) |
| #else |
| double modf(x, iptr) |
| double x,*iptr; |
| #endif |
| { |
| int32_t i0,i1,j0; |
| u_int32_t i; |
| EXTRACT_WORDS(i0,i1,x); |
| j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */ |
| if(j0<20) { /* integer part in high x */ |
| if(j0<0) { /* |x|<1 */ |
| INSERT_WORDS(*iptr,i0&0x80000000,0); /* *iptr = +-0 */ |
| return x; |
| } else { |
| i = (0x000fffff)>>j0; |
| if(((i0&i)|i1)==0) { /* x is integral */ |
| u_int32_t high; |
| *iptr = x; |
| GET_HIGH_WORD(high,x); |
| INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */ |
| return x; |
| } else { |
| INSERT_WORDS(*iptr,i0&(~i),0); |
| return x - *iptr; |
| } |
| } |
| } else if (j0>51) { /* no fraction part */ |
| u_int32_t high; |
| *iptr = x*one; |
| GET_HIGH_WORD(high,x); |
| INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */ |
| return x; |
| } else { /* fraction part in low x */ |
| i = ((u_int32_t)(0xffffffff))>>(j0-20); |
| if((i1&i)==0) { /* x is integral */ |
| u_int32_t high; |
| *iptr = x; |
| GET_HIGH_WORD(high,x); |
| INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */ |
| return x; |
| } else { |
| INSERT_WORDS(*iptr,i0,i1&(~i)); |
| return x - *iptr; |
| } |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_nextaf.c |
|---|
| 0,0 → 1,80 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_nextafter.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_nextafter.c,v 1.6 1994/08/18 23:07:13 jtc Exp $"; |
| #endif |
| /* IEEE functions |
| * nextafter(x,y) |
| * return the next machine floating-point number of x in the |
| * direction toward y. |
| * Special cases: |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double nextafter(double x, double y) |
| #else |
| double nextafter(x,y) |
| double x,y; |
| #endif |
| { |
| int32_t hx,hy,ix,iy; |
| u_int32_t lx,ly; |
| EXTRACT_WORDS(hx,lx,x); |
| EXTRACT_WORDS(hy,ly,y); |
| ix = hx&0x7fffffff; /* |x| */ |
| iy = hy&0x7fffffff; /* |y| */ |
| if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */ |
| ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */ |
| return x+y; |
| if(x==y) return x; /* x=y, return x */ |
| if((ix|lx)==0) { /* x == 0 */ |
| INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */ |
| y = x*x; |
| if(y==x) return y; else return x; /* raise underflow flag */ |
| } |
| if(hx>=0) { /* x > 0 */ |
| if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */ |
| if(lx==0) hx -= 1; |
| lx -= 1; |
| } else { /* x < y, x += ulp */ |
| lx += 1; |
| if(lx==0) hx += 1; |
| } |
| } else { /* x < 0 */ |
| if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */ |
| if(lx==0) hx -= 1; |
| lx -= 1; |
| } else { /* x > y, x += ulp */ |
| lx += 1; |
| if(lx==0) hx += 1; |
| } |
| } |
| hy = hx&0x7ff00000; |
| if(hy>=0x7ff00000) return x+x; /* overflow */ |
| if(hy<0x00100000) { /* underflow */ |
| y = x*x; |
| if(y!=x) { /* raise underflow flag */ |
| INSERT_WORDS(y,hx,lx); |
| return y; |
| } |
| } |
| INSERT_WORDS(x,hx,lx); |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/s_rint.s |
|---|
| 0,0 → 1,5 |
| #include<libc/asm.h> |
| MK_C_SYM(rint) |
| fldl 4(%esp) |
| frndint |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_scalbn.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(scalbn) |
| fildl 12(%esp) |
| fldl 4(%esp) |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_signga.c |
|---|
| 0,0 → 1,4 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| #include "math.h" |
| #include "math_private.h" |
| int signgam = 0; |
| /programs/develop/libraries/menuetlibc/src/libm/s_signif.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(significand) |
| fldl 4(%esp) |
| fxtract |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_sin.s |
|---|
| 0,0 → 1,18 |
| #include<libc/asm.h> |
| MK_C_SYM(sin) |
| fldl 4(%esp) |
| fsin |
| fnstsw %ax |
| andw $0x400,%ax |
| jnz 1f |
| ret |
| 1: fldpi |
| fadd %st(0) |
| fxch %st(1) |
| 2: fprem1 |
| fnstsw %ax |
| andw $0x400,%ax |
| jnz 2b |
| fstp %st(1) |
| fsin |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_tan.s |
|---|
| 0,0 → 1,20 |
| #include<libc/asm.h> |
| MK_C_SYM(tan) |
| fldl 4(%esp) |
| fptan |
| fnstsw %ax |
| andw $0x400,%ax |
| jnz 1f |
| fstp %st(0) |
| ret |
| 1: fldpi |
| fadd %st(0) |
| fxch %st(1) |
| 2: fprem1 |
| fstsw %ax |
| andw $0x400,%ax |
| jnz 2b |
| fstp %st(1) |
| fptan |
| fstp %st(0) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/s_tanh.c |
|---|
| 0,0 → 1,87 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)s_tanh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_tanh.c,v 1.5 1994/08/18 23:10:22 jtc Exp $"; |
| #endif |
| /* Tanh(x) |
| * Return the Hyperbolic Tangent of x |
| * |
| * Method : |
| * x -x |
| * e - e |
| * 0. tanh(x) is defined to be ----------- |
| * x -x |
| * e + e |
| * 1. reduce x to non-negative by tanh(-x) = -tanh(x). |
| * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x) |
| * -t |
| * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x) |
| * t + 2 |
| * 2 |
| * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x) |
| * t + 2 |
| * 22.0 < x <= INF : tanh(x) := 1. |
| * |
| * Special cases: |
| * tanh(NaN) is NaN; |
| * only tanh(0)=0 is exact for finite argument. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double one=1.0, two=2.0, tiny = 1.0e-300; |
| #else |
| static double one=1.0, two=2.0, tiny = 1.0e-300; |
| #endif |
| #ifdef __STDC__ |
| double tanh(double x) |
| #else |
| double tanh(x) |
| double x; |
| #endif |
| { |
| double t,z; |
| int32_t jx,ix; |
| /* High word of |x|. */ |
| GET_HIGH_WORD(jx,x); |
| ix = jx&0x7fffffff; |
| /* x is INF or NaN */ |
| if(ix>=0x7ff00000) { |
| if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ |
| else return one/x-one; /* tanh(NaN) = NaN */ |
| } |
| /* |x| < 22 */ |
| if (ix < 0x40360000) { /* |x|<22 */ |
| if (ix<0x3c800000) /* |x|<2**-55 */ |
| return x*(one+x); /* tanh(small) = small */ |
| if (ix>=0x3ff00000) { /* |x|>=1 */ |
| t = expm1(two*fabs(x)); |
| z = one - two/(t+two); |
| } else { |
| t = expm1(-two*fabs(x)); |
| z= -t/(t+two); |
| } |
| /* |x| > 22, return +-1 */ |
| } else { |
| z = one - tiny; /* raised inexact flag */ |
| } |
| return (jx>=0)? z: -z; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_asinh.c |
|---|
| 0,0 → 1,58 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_asinhf.c -- float version of s_asinh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_asinhf.c,v 1.2 1994/08/18 23:06:21 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0000000000e+00, /* 0x3F800000 */ |
| ln2 = 6.9314718246e-01, /* 0x3f317218 */ |
| huge= 1.0000000000e+30; |
| #ifdef __STDC__ |
| float asinhf(float x) |
| #else |
| float asinhf(x) |
| float x; |
| #endif |
| { |
| float t,w; |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) return x+x; /* x is inf or NaN */ |
| if(ix< 0x31800000) { /* |x|<2**-28 */ |
| if(huge+x>one) return x; /* return x inexact except 0 */ |
| } |
| if(ix>0x4d800000) { /* |x| > 2**28 */ |
| w = __ieee754_logf(fabsf(x))+ln2; |
| } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */ |
| t = fabsf(x); |
| w = __ieee754_logf((float)2.0*t+one/(sqrtf(x*x+one)+t)); |
| } else { /* 2.0 > |x| > 2**-28 */ |
| t = x*x; |
| w =log1pf(fabsf(x)+t/(one+sqrtf(one+t))); |
| } |
| if(hx>0) return w; else return -w; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_atan.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(atanf) |
| flds 4(%esp) |
| fld1 |
| fpatan |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_cbrt.c |
|---|
| 0,0 → 1,84 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_cbrtf.c -- float version of s_cbrt.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_cbrtf.c,v 1.2 1994/08/18 23:06:27 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| /* cbrtf(x) |
| * Return cube root of x |
| */ |
| #ifdef __STDC__ |
| static const unsigned |
| #else |
| static unsigned |
| #endif |
| B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */ |
| B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */ |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| C = 5.4285717010e-01, /* 19/35 = 0x3f0af8b0 */ |
| D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */ |
| E = 1.4142856598e+00, /* 99/70 = 0x3fb50750 */ |
| F = 1.6071428061e+00, /* 45/28 = 0x3fcdb6db */ |
| G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */ |
| #ifdef __STDC__ |
| float cbrtf(float x) |
| #else |
| float cbrtf(x) |
| float x; |
| #endif |
| { |
| float r,s,t; |
| int32_t hx; |
| u_int32_t sign; |
| u_int32_t high; |
| GET_FLOAT_WORD(hx,x); |
| sign=hx&0x80000000; /* sign= sign(x) */ |
| hx ^=sign; |
| if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */ |
| if(hx==0) |
| return(x); /* cbrt(0) is itself */ |
| SET_FLOAT_WORD(x,hx); /* x <- |x| */ |
| /* rough cbrt to 5 bits */ |
| if(hx<0x00800000) /* subnormal number */ |
| {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */ |
| t*=x; GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high/3+B2); |
| } |
| else |
| SET_FLOAT_WORD(t,hx/3+B1); |
| /* new cbrt to 23 bits */ |
| r=t*t/x; |
| s=C+r*t; |
| t*=G+F/(s+E+D/s); |
| /* retore the sign bit */ |
| GET_FLOAT_WORD(high,t); |
| SET_FLOAT_WORD(t,high|sign); |
| return(t); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_ceil.s |
|---|
| 0,0 → 1,20 |
| #include<libc/asm.h> |
| MK_C_SYM(ceilf) |
| pushl %ebp |
| movl %esp,%ebp |
| subl $8,%esp |
| fstcw -12(%ebp) |
| movw -12(%ebp),%dx |
| orw $0x0800,%dx |
| andw $0xfbff,%dx |
| movw %dx,-16(%ebp) |
| fldcw -16(%ebp) |
| flds 8(%ebp); |
| frndint |
| fldcw -12(%ebp) |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_copys.s |
|---|
| 0,0 → 1,10 |
| #include<libc/asm.h> |
| MK_C_SYM(copysignf) |
| movl 8(%esp),%edx |
| andl $0x80000000,%edx |
| movl 4(%esp),%eax |
| andl $0x7fffffff,%eax |
| orl %edx,%eax |
| movl %eax,4(%esp) |
| flds 4(%esp) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_cos.s |
|---|
| 0,0 → 1,5 |
| #include<libc/asm.h> |
| MK_C_SYM(cosf) |
| flds 4(%esp) |
| fcos |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_erf.c |
|---|
| 0,0 → 1,224 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_erff.c -- float version of s_erf.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_erff.c,v 1.2 1994/08/18 23:06:38 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| tiny = 1e-30, |
| half= 5.0000000000e-01, /* 0x3F000000 */ |
| one = 1.0000000000e+00, /* 0x3F800000 */ |
| two = 2.0000000000e+00, /* 0x40000000 */ |
| /* c = (subfloat)0.84506291151 */ |
| erx = 8.4506291151e-01, /* 0x3f58560b */ |
| /* |
| * Coefficients for approximation to erf on [0,0.84375] |
| */ |
| efx = 1.2837916613e-01, /* 0x3e0375d4 */ |
| efx8= 1.0270333290e+00, /* 0x3f8375d4 */ |
| pp0 = 1.2837916613e-01, /* 0x3e0375d4 */ |
| pp1 = -3.2504209876e-01, /* 0xbea66beb */ |
| pp2 = -2.8481749818e-02, /* 0xbce9528f */ |
| pp3 = -5.7702702470e-03, /* 0xbbbd1489 */ |
| pp4 = -2.3763017452e-05, /* 0xb7c756b1 */ |
| qq1 = 3.9791721106e-01, /* 0x3ecbbbce */ |
| qq2 = 6.5022252500e-02, /* 0x3d852a63 */ |
| qq3 = 5.0813062117e-03, /* 0x3ba68116 */ |
| qq4 = 1.3249473704e-04, /* 0x390aee49 */ |
| qq5 = -3.9602282413e-06, /* 0xb684e21a */ |
| /* |
| * Coefficients for approximation to erf in [0.84375,1.25] |
| */ |
| pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */ |
| pa1 = 4.1485610604e-01, /* 0x3ed46805 */ |
| pa2 = -3.7220788002e-01, /* 0xbebe9208 */ |
| pa3 = 3.1834661961e-01, /* 0x3ea2fe54 */ |
| pa4 = -1.1089469492e-01, /* 0xbde31cc2 */ |
| pa5 = 3.5478305072e-02, /* 0x3d1151b3 */ |
| pa6 = -2.1663755178e-03, /* 0xbb0df9c0 */ |
| qa1 = 1.0642088205e-01, /* 0x3dd9f331 */ |
| qa2 = 5.4039794207e-01, /* 0x3f0a5785 */ |
| qa3 = 7.1828655899e-02, /* 0x3d931ae7 */ |
| qa4 = 1.2617121637e-01, /* 0x3e013307 */ |
| qa5 = 1.3637083583e-02, /* 0x3c5f6e13 */ |
| qa6 = 1.1984500103e-02, /* 0x3c445aa3 */ |
| /* |
| * Coefficients for approximation to erfc in [1.25,1/0.35] |
| */ |
| ra0 = -9.8649440333e-03, /* 0xbc21a093 */ |
| ra1 = -6.9385856390e-01, /* 0xbf31a0b7 */ |
| ra2 = -1.0558626175e+01, /* 0xc128f022 */ |
| ra3 = -6.2375331879e+01, /* 0xc2798057 */ |
| ra4 = -1.6239666748e+02, /* 0xc322658c */ |
| ra5 = -1.8460508728e+02, /* 0xc3389ae7 */ |
| ra6 = -8.1287437439e+01, /* 0xc2a2932b */ |
| ra7 = -9.8143291473e+00, /* 0xc11d077e */ |
| sa1 = 1.9651271820e+01, /* 0x419d35ce */ |
| sa2 = 1.3765776062e+02, /* 0x4309a863 */ |
| sa3 = 4.3456588745e+02, /* 0x43d9486f */ |
| sa4 = 6.4538726807e+02, /* 0x442158c9 */ |
| sa5 = 4.2900814819e+02, /* 0x43d6810b */ |
| sa6 = 1.0863500214e+02, /* 0x42d9451f */ |
| sa7 = 6.5702495575e+00, /* 0x40d23f7c */ |
| sa8 = -6.0424413532e-02, /* 0xbd777f97 */ |
| /* |
| * Coefficients for approximation to erfc in [1/.35,28] |
| */ |
| rb0 = -9.8649431020e-03, /* 0xbc21a092 */ |
| rb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */ |
| rb2 = -1.7757955551e+01, /* 0xc18e104b */ |
| rb3 = -1.6063638306e+02, /* 0xc320a2ea */ |
| rb4 = -6.3756646729e+02, /* 0xc41f6441 */ |
| rb5 = -1.0250950928e+03, /* 0xc480230b */ |
| rb6 = -4.8351919556e+02, /* 0xc3f1c275 */ |
| sb1 = 3.0338060379e+01, /* 0x41f2b459 */ |
| sb2 = 3.2579251099e+02, /* 0x43a2e571 */ |
| sb3 = 1.5367296143e+03, /* 0x44c01759 */ |
| sb4 = 3.1998581543e+03, /* 0x4547fdbb */ |
| sb5 = 2.5530502930e+03, /* 0x451f90ce */ |
| sb6 = 4.7452853394e+02, /* 0x43ed43a7 */ |
| sb7 = -2.2440952301e+01; /* 0xc1b38712 */ |
| #ifdef __STDC__ |
| float erff(float x) |
| #else |
| float erff(x) |
| float x; |
| #endif |
| { |
| int32_t hx,ix,i; |
| float R,S,P,Q,s,y,z,r; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) { /* erf(nan)=nan */ |
| i = ((u_int32_t)hx>>31)<<1; |
| return (float)(1-i)+one/x; /* erf(+-inf)=+-1 */ |
| } |
| if(ix < 0x3f580000) { /* |x|<0.84375 */ |
| if(ix < 0x31800000) { /* |x|<2**-28 */ |
| if (ix < 0x04000000) |
| /*avoid underflow */ |
| return (float)0.125*((float)8.0*x+efx8*x); |
| return x + efx*x; |
| } |
| z = x*x; |
| r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); |
| s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); |
| y = r/s; |
| return x + x*y; |
| } |
| if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */ |
| s = fabsf(x)-one; |
| P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); |
| Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); |
| if(hx>=0) return erx + P/Q; else return -erx - P/Q; |
| } |
| if (ix >= 0x40c00000) { /* inf>|x|>=6 */ |
| if(hx>=0) return one-tiny; else return tiny-one; |
| } |
| x = fabsf(x); |
| s = one/(x*x); |
| if(ix< 0x4036DB6E) { /* |x| < 1/0.35 */ |
| R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( |
| ra5+s*(ra6+s*ra7)))))); |
| S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( |
| sa5+s*(sa6+s*(sa7+s*sa8))))))); |
| } else { /* |x| >= 1/0.35 */ |
| R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( |
| rb5+s*rb6))))); |
| S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( |
| sb5+s*(sb6+s*sb7)))))); |
| } |
| GET_FLOAT_WORD(ix,x); |
| SET_FLOAT_WORD(z,ix&0xfffff000); |
| r = __ieee754_expf(-z*z-(float)0.5625)*__ieee754_expf((z-x)*(z+x)+R/S); |
| if(hx>=0) return one-r/x; else return r/x-one; |
| } |
| #ifdef __STDC__ |
| float erfcf(float x) |
| #else |
| float erfcf(x) |
| float x; |
| #endif |
| { |
| int32_t hx,ix; |
| float R,S,P,Q,s,y,z,r; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| if(ix>=0x7f800000) { /* erfc(nan)=nan */ |
| /* erfc(+-inf)=0,2 */ |
| return (float)(((u_int32_t)hx>>31)<<1)+one/x; |
| } |
| if(ix < 0x3f580000) { /* |x|<0.84375 */ |
| if(ix < 0x23800000) /* |x|<2**-56 */ |
| return one-x; |
| z = x*x; |
| r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); |
| s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); |
| y = r/s; |
| if(hx < 0x3e800000) { /* x<1/4 */ |
| return one-(x+x*y); |
| } else { |
| r = x*y; |
| r += (x-half); |
| return half - r ; |
| } |
| } |
| if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */ |
| s = fabsf(x)-one; |
| P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); |
| Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); |
| if(hx>=0) { |
| z = one-erx; return z - P/Q; |
| } else { |
| z = erx+P/Q; return one+z; |
| } |
| } |
| if (ix < 0x41e00000) { /* |x|<28 */ |
| x = fabsf(x); |
| s = one/(x*x); |
| if(ix< 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/ |
| R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( |
| ra5+s*(ra6+s*ra7)))))); |
| S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( |
| sa5+s*(sa6+s*(sa7+s*sa8))))))); |
| } else { /* |x| >= 1/.35 ~ 2.857143 */ |
| if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */ |
| R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( |
| rb5+s*rb6))))); |
| S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( |
| sb5+s*(sb6+s*sb7)))))); |
| } |
| GET_FLOAT_WORD(ix,x); |
| SET_FLOAT_WORD(z,ix&0xfffff000); |
| r = __ieee754_expf(-z*z-(float)0.5625)* |
| __ieee754_expf((z-x)*(z+x)+R/S); |
| if(hx>0) return r/x; else return two-r/x; |
| } else { |
| if(hx>0) return tiny*tiny; else return two-tiny; |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_expm1.s |
|---|
| 0,0 → 1,16 |
| #include<libc/asm.h> |
| MK_C_SYM(expm1f) |
| flds 4(%esp) |
| fldl2e |
| fmulp |
| fstl %st(1) |
| frndint |
| fstl %st(2) |
| fsubrp |
| f2xm1 |
| fld1 |
| faddp |
| fscale |
| fld1 |
| fsubrp |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_fabs.c |
|---|
| 0,0 → 1,39 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_fabsf.c -- float version of s_fabs.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_fabsf.c,v 1.2 1994/08/18 23:06:43 jtc Exp $"; |
| #endif |
| /* |
| * fabsf(x) returns the absolute value of x. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float fabsf(float x) |
| #else |
| float fabsf(x) |
| float x; |
| #endif |
| { |
| u_int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| SET_FLOAT_WORD(x,ix&0x7fffffff); |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_finit.s |
|---|
| 0,0 → 1,8 |
| #include<libc/asm.h> |
| MK_C_SYM(finitef) |
| movl 4(%esp),%eax |
| andl $0x7ff00000, %eax |
| cmpl $0x7ff00000, %eax |
| setne %al |
| andl $0x000000ff, %eax |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_floor.s |
|---|
| 0,0 → 1,20 |
| #include<libc/asm.h> |
| MK_C_SYM(floorf) |
| pushl %ebp |
| movl %esp,%ebp |
| subl $8,%esp |
| fstcw -12(%ebp) |
| movw -12(%ebp),%dx |
| orw $0x0400,%dx |
| andw $0xf7ff,%dx |
| movw %dx,-16(%ebp) |
| fldcw -16(%ebp) |
| flds 8(%ebp); |
| frndint |
| fldcw -12(%ebp) |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_frexp.c |
|---|
| 0,0 → 1,54 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_frexpf.c -- float version of s_frexp.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_frexpf.c,v 1.2 1994/08/18 23:06:51 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| one = 1.0000000000e+00, /* 0x3F800000 */ |
| two25 = 3.3554432000e+07; /* 0x4c000000 */ |
| #ifdef __STDC__ |
| float frexpf(float x, int *eptr) |
| #else |
| float frexpf(x, eptr) |
| float x; int *eptr; |
| #endif |
| { |
| int32_t hx,ix; |
| GET_FLOAT_WORD(hx,x); |
| ix = 0x7fffffff&hx; |
| *eptr = 0; |
| if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */ |
| if (ix<0x00800000) { /* subnormal */ |
| x *= two25; |
| GET_FLOAT_WORD(hx,x); |
| ix = hx&0x7fffffff; |
| *eptr = -25; |
| } |
| *eptr += (ix>>23)-126; |
| hx = (hx&0x807fffff)|0x3f000000; |
| *(int*)&x = hx; |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_ilogb.s |
|---|
| 0,0 → 1,15 |
| #include<libc/asm.h> |
| MK_C_SYM(ilogbf) |
| pushl %esp |
| movl %esp,%ebp |
| subl $4,%esp |
| flds 8(%ebp) |
| fxtract |
| fstpl %st |
| fistpl -4(%ebp) |
| movl -4(%ebp),%eax |
| leave |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_isinf.c |
|---|
| 0,0 → 1,56 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * Copyright (c) 1994 Winning Strategies, Inc. |
| * 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. |
| * 3. All advertising materials mentioning features or use of this software |
| * must display the following acknowledgement: |
| * This product includes software developed by Winning Strategies, Inc. |
| * 4. The name of the author may not be used to endorse or promote products |
| * derived from this software without specific prior written permission. |
| * |
| * 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. |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_isinf.c,v 1.6 1994/08/18 23:06:54 jtc Exp $"; |
| #endif |
| /* |
| * isinff(x) returns 1 is x is inf, else 0; |
| * no branching! |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| int isinff(float x) |
| #else |
| int isinff(x) |
| float x; |
| #endif |
| { |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| ix ^= 0x7f800000; |
| return (ix == 0); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_isnan.c |
|---|
| 0,0 → 1,41 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_isnanf.c -- float version of s_isnan.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_isnanf.c,v 1.2 1994/08/18 23:06:56 jtc Exp $"; |
| #endif |
| /* |
| * isnanf(x) returns 1 is x is nan, else 0; |
| * no branching! |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| int isnanf(float x) |
| #else |
| int isnanf(x) |
| float x; |
| #endif |
| { |
| int32_t ix; |
| GET_FLOAT_WORD(ix,x); |
| ix &= 0x7fffffff; |
| ix = 0x7f800000 - ix; |
| return (int)(((u_int32_t)(ix))>>31); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_ldexp.c |
|---|
| 0,0 → 1,36 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_ldexpf.c -- float version of s_ldexp.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_ldexpf.c,v 1.1 1994/08/10 20:32:39 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #include <errno.h> |
| #ifdef __STDC__ |
| float ldexpf(float value, int exp) |
| #else |
| float ldexpf(value, exp) |
| float value; int exp; |
| #endif |
| { |
| if(!finitef(value)||value==(float)0.0) return value; |
| value = scalbnf(value,exp); |
| if(!finitef(value)||value==(float)0.0) errno = ERANGE; |
| return value; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_log1p.s |
|---|
| 0,0 → 1,8 |
| #include<libc/asm.h> |
| MK_C_SYM(log1pf) |
| fldln2 |
| flds 4(%esp) |
| fld1 |
| faddp |
| fyl2x |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_logb.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(logbf) |
| flds 4(%esp) |
| fxtract |
| fstpl %st |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_modf.c |
|---|
| 0,0 → 1,65 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_modff.c -- float version of s_modf.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_modff.c,v 1.2 1994/08/18 23:07:12 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float one = 1.0; |
| #else |
| static float one = 1.0; |
| #endif |
| #ifdef __STDC__ |
| float modff(float x, float *iptr) |
| #else |
| float modff(x, iptr) |
| float x,*iptr; |
| #endif |
| { |
| int32_t i0,j0; |
| u_int32_t i; |
| GET_FLOAT_WORD(i0,x); |
| j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */ |
| if(j0<23) { /* integer part in x */ |
| if(j0<0) { /* |x|<1 */ |
| SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */ |
| return x; |
| } else { |
| i = (0x007fffff)>>j0; |
| if((i0&i)==0) { /* x is integral */ |
| u_int32_t ix; |
| *iptr = x; |
| GET_FLOAT_WORD(ix,x); |
| SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */ |
| return x; |
| } else { |
| SET_FLOAT_WORD(*iptr,i0&(~i)); |
| return x - *iptr; |
| } |
| } |
| } else { /* no fraction part */ |
| u_int32_t ix; |
| *iptr = x*one; |
| GET_FLOAT_WORD(ix,x); |
| SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */ |
| return x; |
| } |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_nexta.c |
|---|
| 0,0 → 1,71 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_nextafterf.c -- float version of s_nextafter.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_nextafterf.c,v 1.2 1994/08/18 23:07:15 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float nextafterf(float x, float y) |
| #else |
| float nextafterf(x,y) |
| float x,y; |
| #endif |
| { |
| int32_t hx,hy,ix,iy; |
| GET_FLOAT_WORD(hx,x); |
| GET_FLOAT_WORD(hy,y); |
| ix = hx&0x7fffffff; /* |x| */ |
| iy = hy&0x7fffffff; /* |y| */ |
| if((ix>0x7f800000) || /* x is nan */ |
| (iy>0x7f800000)) /* y is nan */ |
| return x+y; |
| if(x==y) return x; /* x=y, return x */ |
| if(ix==0) { /* x == 0 */ |
| SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */ |
| y = x*x; |
| if(y==x) return y; else return x; /* raise underflow flag */ |
| } |
| if(hx>=0) { /* x > 0 */ |
| if(hx>hy) { /* x > y, x -= ulp */ |
| hx -= 1; |
| } else { /* x < y, x += ulp */ |
| hx += 1; |
| } |
| } else { /* x < 0 */ |
| if(hy>=0||hx>hy){ /* x < y, x -= ulp */ |
| hx -= 1; |
| } else { /* x > y, x += ulp */ |
| hx += 1; |
| } |
| } |
| hy = hx&0x7f800000; |
| if(hy>=0x7f800000) return x+x; /* overflow */ |
| if(hy<0x00800000) { /* underflow */ |
| y = x*x; |
| if(y!=x) { /* raise underflow flag */ |
| SET_FLOAT_WORD(y,hx); |
| return y; |
| } |
| } |
| SET_FLOAT_WORD(x,hx); |
| return x; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/sf_rint.s |
|---|
| 0,0 → 1,112 |
| # 1 "SF_RINT.S" |
| # 1 "c:/djgpp/include/machine/asm.h" 1 3 |
| # 37 "SF_RINT.S" 2 |
| .globl rintf |
| rintf: |
| flds 4(%esp) |
| frndint |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_scalb.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(scalbnf) |
| fildl 8(%esp) |
| flds 4(%esp) |
| fscale |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_signi.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(significandf) |
| flds 4(%esp) |
| fxtract |
| fstpl %st(1) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_sin.s |
|---|
| 0,0 → 1,5 |
| #include<libc/asm.h> |
| MK_C_SYM(sinf) |
| flds 4(%esp) |
| fsin |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_tan.s |
|---|
| 0,0 → 1,6 |
| #include<libc/asm.h> |
| MK_C_SYM(tanf) |
| flds 4(%esp) |
| fptan |
| fstp %st(0) |
| ret |
| /programs/develop/libraries/menuetlibc/src/libm/sf_tanh.c |
|---|
| 0,0 → 1,65 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* s_tanhf.c -- float version of s_tanh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: s_tanhf.c,v 1.2 1994/08/18 23:10:23 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float one=1.0, two=2.0, tiny = 1.0e-30; |
| #else |
| static float one=1.0, two=2.0, tiny = 1.0e-30; |
| #endif |
| #ifdef __STDC__ |
| float tanhf(float x) |
| #else |
| float tanhf(x) |
| float x; |
| #endif |
| { |
| float t,z; |
| int32_t jx,ix; |
| GET_FLOAT_WORD(jx,x); |
| ix = jx&0x7fffffff; |
| /* x is INF or NaN */ |
| if(ix>=0x7f800000) { |
| if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ |
| else return one/x-one; /* tanh(NaN) = NaN */ |
| } |
| /* |x| < 22 */ |
| if (ix < 0x41b00000) { /* |x|<22 */ |
| if (ix<0x24000000) /* |x|<2**-55 */ |
| return x*(one+x); /* tanh(small) = small */ |
| if (ix>=0x3f800000) { /* |x|>=1 */ |
| t = expm1f(two*fabsf(x)); |
| z = one - two/(t+two); |
| } else { |
| t = expm1f(-two*fabsf(x)); |
| z= -t/(t+two); |
| } |
| /* |x| > 22, return +-1 */ |
| } else { |
| z = one - tiny; /* raised inexact flag */ |
| } |
| return (jx>=0)? z: -z; |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/staaaaaa |
|---|
| --- w_acos.c (nonexistent) |
| +++ w_acos.c (revision 4973) |
| @@ -0,0 +1,44 @@ |
| +/* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| +/* @(#)w_acos.c 5.1 93/09/24 */ |
| +/* |
| + * ==================================================== |
| + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| + * |
| + * Developed at SunPro, a Sun Microsystems, Inc. business. |
| + * Permission to use, copy, modify, and distribute this |
| + * software is freely granted, provided that this notice |
| + * is preserved. |
| + * ==================================================== |
| + */ |
| + |
| +#if defined(LIBM_SCCS) && !defined(lint) |
| +static char rcsid[] = "$Id: w_acos.c,v 1.4 1994/08/10 20:33:18 jtc Exp $"; |
| +#endif |
| + |
| +/* |
| + * wrap_acos(x) |
| + */ |
| + |
| +#include "math.h" |
| +#include "math_private.h" |
| + |
| + |
| +#ifdef __STDC__ |
| + double acos(double x) /* wrapper acos */ |
| +#else |
| + double acos(x) /* wrapper acos */ |
| + double x; |
| +#endif |
| +{ |
| +#ifdef _IEEE_LIBM |
| + return __ieee754_acos(x); |
| +#else |
| + double z; |
| + z = __ieee754_acos(x); |
| + if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| + if(fabs(x)>1.0) { |
| + return __kernel_standard(x,x,1); /* acos(|x|>1) */ |
| + } else |
| + return z; |
| +#endif |
| +} |
| /programs/develop/libraries/menuetlibc/src/libm/w_acosh.c |
|---|
| 0,0 → 1,43 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_acosh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_acosh.c,v 1.4 1994/08/10 20:33:25 jtc Exp $"; |
| #endif |
| /* |
| * wrapper acosh(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double acosh(double x) /* wrapper acosh */ |
| #else |
| double acosh(x) /* wrapper acosh */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_acosh(x); |
| #else |
| double z; |
| z = __ieee754_acosh(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(x<1.0) { |
| return __kernel_standard(x,x,29); /* acosh(x<1) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_asin.c |
|---|
| 0,0 → 1,45 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_asin.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_asin.c,v 1.4 1994/08/10 20:33:30 jtc Exp $"; |
| #endif |
| /* |
| * wrapper asin(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double asin(double x) /* wrapper asin */ |
| #else |
| double asin(x) /* wrapper asin */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_asin(x); |
| #else |
| double z; |
| z = __ieee754_asin(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(fabs(x)>1.0) { |
| return __kernel_standard(x,x,2); /* asin(|x|>1) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_atan2.c |
|---|
| 0,0 → 1,44 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_atan2.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_atan2.c,v 1.4 1994/08/10 20:33:38 jtc Exp $"; |
| #endif |
| /* |
| * wrapper atan2(y,x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double atan2(double y, double x) /* wrapper atan2 */ |
| #else |
| double atan2(y,x) /* wrapper atan2 */ |
| double y,x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_atan2(y,x); |
| #else |
| double z; |
| z = __ieee754_atan2(y,x); |
| if(_LIB_VERSION == _IEEE_||isnan(x)||isnan(y)) return z; |
| if(x==0.0&&y==0.0) { |
| return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_atanh.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_atanh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_atanh.c,v 1.4 1994/08/10 20:33:45 jtc Exp $"; |
| #endif |
| /* |
| * wrapper atanh(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double atanh(double x) /* wrapper atanh */ |
| #else |
| double atanh(x) /* wrapper atanh */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_atanh(x); |
| #else |
| double z,y; |
| z = __ieee754_atanh(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| y = fabs(x); |
| if(y>=1.0) { |
| if(y>1.0) |
| return __kernel_standard(x,x,30); /* atanh(|x|>1) */ |
| else |
| return __kernel_standard(x,x,31); /* atanh(|x|==1) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_cabs.c |
|---|
| 0,0 → 1,21 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * cabs() wrapper for hypot(). |
| * |
| * Written by J.T. Conklin, <jtc@wimsey.com> |
| * Placed into the Public Domain, 1994. |
| */ |
| #include <math.h> |
| struct complex { |
| double x; |
| double y; |
| }; |
| double |
| cabs(z) |
| struct complex z; |
| { |
| return hypot(z.x, z.y); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_cosh.c |
|---|
| 0,0 → 1,43 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_cosh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_cosh.c,v 1.4 1994/08/10 20:33:54 jtc Exp $"; |
| #endif |
| /* |
| * wrapper cosh(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double cosh(double x) /* wrapper cosh */ |
| #else |
| double cosh(x) /* wrapper cosh */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_cosh(x); |
| #else |
| double z; |
| z = __ieee754_cosh(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(fabs(x)>7.10475860073943863426e+02) { |
| return __kernel_standard(x,x,5); /* cosh overflow */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_drem.c |
|---|
| 0,0 → 1,16 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * drem() wrapper for remainder(). |
| * |
| * Written by J.T. Conklin, <jtc@wimsey.com> |
| * Placed into the Public Domain, 1994. |
| */ |
| #include <math.h> |
| double |
| drem(x, y) |
| double x, y; |
| { |
| return remainder(x, y); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_exp.c |
|---|
| 0,0 → 1,54 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_exp.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_exp.c,v 1.4 1994/08/10 20:34:00 jtc Exp $"; |
| #endif |
| /* |
| * wrapper exp(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const double |
| #else |
| static double |
| #endif |
| o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ |
| u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */ |
| #ifdef __STDC__ |
| double exp(double x) /* wrapper exp */ |
| #else |
| double exp(x) /* wrapper exp */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_exp(x); |
| #else |
| double z; |
| z = __ieee754_exp(x); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(finite(x)) { |
| if(x>o_threshold) |
| return __kernel_standard(x,x,6); /* exp overflow */ |
| else if(x<u_threshold) |
| return __kernel_standard(x,x,7); /* exp underflow */ |
| } |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_fmod.c |
|---|
| 0,0 → 1,44 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_fmod.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_fmod.c,v 1.4 1994/08/10 20:34:05 jtc Exp $"; |
| #endif |
| /* |
| * wrapper fmod(x,y) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double fmod(double x, double y) /* wrapper fmod */ |
| #else |
| double fmod(x,y) /* wrapper fmod */ |
| double x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_fmod(x,y); |
| #else |
| double z; |
| z = __ieee754_fmod(x,y); |
| if(_LIB_VERSION == _IEEE_ ||isnan(y)||isnan(x)) return z; |
| if(y==0.0) { |
| return __kernel_standard(x,y,27); /* fmod(x,0) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_gamma.c |
|---|
| 0,0 → 1,50 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_gamma.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_gamma.c,v 1.4 1994/08/10 20:34:09 jtc Exp $"; |
| #endif |
| /* double gamma(double x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call gamma_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| double gamma(double x) |
| #else |
| double gamma(x) |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_gamma_r(x,&signgam); |
| #else |
| double y; |
| y = __ieee754_gamma_r(x,&signgam); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finite(y)&&finite(x)) { |
| if(floor(x)==x&&x<=0.0) |
| return __kernel_standard(x,x,41); /* gamma pole */ |
| else |
| return __kernel_standard(x,x,40); /* gamma overflow */ |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_hypot.c |
|---|
| 0,0 → 1,44 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_hypot.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_hypot.c,v 1.4 1994/08/10 20:34:24 jtc Exp $"; |
| #endif |
| /* |
| * wrapper hypot(x,y) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double hypot(double x, double y)/* wrapper hypot */ |
| #else |
| double hypot(x,y) /* wrapper hypot */ |
| double x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_hypot(x,y); |
| #else |
| double z; |
| z = __ieee754_hypot(x,y); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if((!finite(z))&&finite(x)&&finite(y)) |
| return __kernel_standard(x,y,4); /* hypot overflow */ |
| else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_j0.c |
|---|
| 0,0 → 1,70 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_j0.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_j0.c,v 1.4 1994/08/10 20:34:29 jtc Exp $"; |
| #endif |
| /* |
| * wrapper j0(double x), y0(double x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double j0(double x) /* wrapper j0 */ |
| #else |
| double j0(x) /* wrapper j0 */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_j0(x); |
| #else |
| double z = __ieee754_j0(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(fabs(x)>X_TLOSS) { |
| return __kernel_standard(x,x,34); /* j0(|x|>X_TLOSS) */ |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| double y0(double x) /* wrapper y0 */ |
| #else |
| double y0(x) /* wrapper y0 */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_y0(x); |
| #else |
| double z; |
| z = __ieee754_y0(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; |
| if(x <= 0.0){ |
| if(x==0.0) |
| /* d= -one/(x-x); */ |
| return __kernel_standard(x,x,8); |
| else |
| /* d = zero/(x-x); */ |
| return __kernel_standard(x,x,9); |
| } |
| if(x>X_TLOSS) { |
| return __kernel_standard(x,x,35); /* y0(x>X_TLOSS) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_j1.c |
|---|
| 0,0 → 1,71 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_j1.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_j1.c,v 1.4 1994/08/10 20:34:35 jtc Exp $"; |
| #endif |
| /* |
| * wrapper of j1,y1 |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double j1(double x) /* wrapper j1 */ |
| #else |
| double j1(x) /* wrapper j1 */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_j1(x); |
| #else |
| double z; |
| z = __ieee754_j1(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; |
| if(fabs(x)>X_TLOSS) { |
| return __kernel_standard(x,x,36); /* j1(|x|>X_TLOSS) */ |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| double y1(double x) /* wrapper y1 */ |
| #else |
| double y1(x) /* wrapper y1 */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_y1(x); |
| #else |
| double z; |
| z = __ieee754_y1(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; |
| if(x <= 0.0){ |
| if(x==0.0) |
| /* d= -one/(x-x); */ |
| return __kernel_standard(x,x,10); |
| else |
| /* d = zero/(x-x); */ |
| return __kernel_standard(x,x,11); |
| } |
| if(x>X_TLOSS) { |
| return __kernel_standard(x,x,37); /* y1(x>X_TLOSS) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_jn.c |
|---|
| 0,0 → 1,93 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_jn.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_jn.c,v 1.4 1994/08/10 20:34:42 jtc Exp $"; |
| #endif |
| /* |
| * wrapper jn(int n, double x), yn(int n, double x) |
| * floating point Bessel's function of the 1st and 2nd kind |
| * of order n |
| * |
| * Special cases: |
| * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; |
| * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. |
| * Note 2. About jn(n,x), yn(n,x) |
| * For n=0, j0(x) is called, |
| * for n=1, j1(x) is called, |
| * for n<x, forward recursion us used starting |
| * from values of j0(x) and j1(x). |
| * for n>x, a continued fraction approximation to |
| * j(n,x)/j(n-1,x) is evaluated and then backward |
| * recursion is used starting from a supposed value |
| * for j(n,x). The resulting value of j(0,x) is |
| * compared with the actual value to correct the |
| * supposed value of j(n,x). |
| * |
| * yn(n,x) is similar in all respects, except |
| * that forward recursion is used for all |
| * values of n>1. |
| * |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double jn(int n, double x) /* wrapper jn */ |
| #else |
| double jn(n,x) /* wrapper jn */ |
| double x; int n; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_jn(n,x); |
| #else |
| double z; |
| z = __ieee754_jn(n,x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; |
| if(fabs(x)>X_TLOSS) { |
| return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */ |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| double yn(int n, double x) /* wrapper yn */ |
| #else |
| double yn(n,x) /* wrapper yn */ |
| double x; int n; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_yn(n,x); |
| #else |
| double z; |
| z = __ieee754_yn(n,x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; |
| if(x <= 0.0){ |
| if(x==0.0) |
| /* d= -one/(x-x); */ |
| return __kernel_standard((double)n,x,12); |
| else |
| /* d = zero/(x-x); */ |
| return __kernel_standard((double)n,x,13); |
| } |
| if(x>X_TLOSS) { |
| return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_lgamma.c |
|---|
| 0,0 → 1,50 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_lgamma.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_lgamma.c,v 1.4 1994/08/10 20:34:53 jtc Exp $"; |
| #endif |
| /* double lgamma(double x) |
| * Return the logarithm of the Gamma function of x. |
| * |
| * Method: call __ieee754_lgamma_r |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| double lgamma(double x) |
| #else |
| double lgamma(x) |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_lgamma_r(x,&signgam); |
| #else |
| double y; |
| y = __ieee754_lgamma_r(x,&signgam); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finite(y)&&finite(x)) { |
| if(floor(x)==x&&x<=0.0) |
| return __kernel_standard(x,x,15); /* lgamma pole */ |
| else |
| return __kernel_standard(x,x,14); /* lgamma overflow */ |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_log.c |
|---|
| 0,0 → 1,44 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_log.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_log.c,v 1.4 1994/08/10 20:35:09 jtc Exp $"; |
| #endif |
| /* |
| * wrapper log(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double log(double x) /* wrapper log */ |
| #else |
| double log(x) /* wrapper log */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_log(x); |
| #else |
| double z; |
| z = __ieee754_log(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0) return z; |
| if(x==0.0) |
| return __kernel_standard(x,x,16); /* log(0) */ |
| else |
| return __kernel_standard(x,x,17); /* log(x<0) */ |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_log10.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_log10.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_log10.c,v 1.4 1994/08/10 20:35:15 jtc Exp $"; |
| #endif |
| /* |
| * wrapper log10(X) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double log10(double x) /* wrapper log10 */ |
| #else |
| double log10(x) /* wrapper log10 */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_log10(x); |
| #else |
| double z; |
| z = __ieee754_log10(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(x<=0.0) { |
| if(x==0.0) |
| return __kernel_standard(x,x,18); /* log10(0) */ |
| else |
| return __kernel_standard(x,x,19); /* log10(x<0) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_pow.c |
|---|
| 0,0 → 1,62 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_pow.c 5.2 93/10/01 */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| /* |
| * wrapper pow(x,y) return x**y |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double pow(double x, double y) /* wrapper pow */ |
| #else |
| double pow(x,y) /* wrapper pow */ |
| double x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_pow(x,y); |
| #else |
| double z; |
| z=__ieee754_pow(x,y); |
| if(_LIB_VERSION == _IEEE_|| isnan(y)) return z; |
| if(isnan(x)) { |
| if(y==0.0) |
| return __kernel_standard(x,y,42); /* pow(NaN,0.0) */ |
| else |
| return z; |
| } |
| if(x==0.0){ |
| if(y==0.0) |
| return __kernel_standard(x,y,20); /* pow(0.0,0.0) */ |
| if(finite(y)&&y<0.0) |
| return __kernel_standard(x,y,23); /* pow(0.0,negative) */ |
| return z; |
| } |
| if(!finite(z)) { |
| if(finite(x)&&finite(y)) { |
| if(isnan(z)) |
| return __kernel_standard(x,y,24); /* pow neg**non-int */ |
| else |
| return __kernel_standard(x,y,21); /* pow overflow */ |
| } |
| } |
| if(z==0.0&&finite(x)&&finite(y)) |
| return __kernel_standard(x,y,22); /* pow underflow */ |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_remain.c |
|---|
| 0,0 → 1,43 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_remainder.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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_remainder.c,v 1.4 1994/08/10 20:35:32 jtc Exp $"; |
| #endif |
| /* |
| * wrapper remainder(x,p) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double remainder(double x, double y) /* wrapper remainder */ |
| #else |
| double remainder(x,y) /* wrapper remainder */ |
| double x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_remainder(x,y); |
| #else |
| double z; |
| z = __ieee754_remainder(x,y); |
| if(_LIB_VERSION == _IEEE_ || isnan(y)) return z; |
| if(y==0.0) |
| return __kernel_standard(x,y,28); /* remainder(x,0) */ |
| else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_scalb.c |
|---|
| 0,0 → 1,61 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_scalb.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_scalb.c,v 1.4 1994/08/10 20:35:37 jtc Exp $"; |
| #endif |
| /* |
| * wrapper scalb(double x, double fn) is provide for |
| * passing various standard test suite. One |
| * should use scalbn() instead. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #include <errno.h> |
| #ifdef __STDC__ |
| #ifdef _SCALB_INT |
| double scalb(double x, int fn) /* wrapper scalb */ |
| #else |
| double scalb(double x, double fn) /* wrapper scalb */ |
| #endif |
| #else |
| double scalb(x,fn) /* wrapper scalb */ |
| #ifdef _SCALB_INT |
| double x; int fn; |
| #else |
| double x,fn; |
| #endif |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_scalb(x,fn); |
| #else |
| double z; |
| z = __ieee754_scalb(x,fn); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(!(finite(z)||isnan(z))&&finite(x)) { |
| return __kernel_standard(x,(double)fn,32); /* scalb overflow */ |
| } |
| if(z==0.0&&z!=x) { |
| return __kernel_standard(x,(double)fn,33); /* scalb underflow */ |
| } |
| #ifndef _SCALB_INT |
| if(!finite(fn)) errno = ERANGE; |
| #endif |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_sinh.c |
|---|
| 0,0 → 1,43 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_sinh.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_sinh.c,v 1.4 1994/08/10 20:35:42 jtc Exp $"; |
| #endif |
| /* |
| * wrapper sinh(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double sinh(double x) /* wrapper sinh */ |
| #else |
| double sinh(x) /* wrapper sinh */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_sinh(x); |
| #else |
| double z; |
| z = __ieee754_sinh(x); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(!finite(z)&&finite(x)) { |
| return __kernel_standard(x,x,25); /* sinh overflow */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/w_sqrt.c |
|---|
| 0,0 → 1,43 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)w_sqrt.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_sqrt.c,v 1.4 1994/08/10 20:35:48 jtc Exp $"; |
| #endif |
| /* |
| * wrapper sqrt(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double sqrt(double x) /* wrapper sqrt */ |
| #else |
| double sqrt(x) /* wrapper sqrt */ |
| double x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_sqrt(x); |
| #else |
| double z; |
| z = __ieee754_sqrt(x); |
| if(_LIB_VERSION == _IEEE_ || isnan(x)) return z; |
| if(x<0.0) { |
| return __kernel_standard(x,x,26); /* sqrt(negative) */ |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_acos.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_acosf.c -- float version of w_acos.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_acosf.c,v 1.1 1994/08/10 20:33:23 jtc Exp $"; |
| #endif |
| /* |
| * wrap_acosf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float acosf(float x) /* wrapper acosf */ |
| #else |
| float acosf(x) /* wrapper acosf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_acosf(x); |
| #else |
| float z; |
| z = __ieee754_acosf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(fabsf(x)>(float)1.0) { |
| /* acosf(|x|>1) */ |
| return (float)__kernel_standard((double)x,(double)x,101); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_acosh.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_acoshf.c -- float version of w_acosh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| * |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_acoshf.c,v 1.1 1994/08/10 20:33:28 jtc Exp $"; |
| #endif |
| /* |
| * wrapper acoshf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float acoshf(float x) /* wrapper acoshf */ |
| #else |
| float acoshf(x) /* wrapper acoshf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_acoshf(x); |
| #else |
| float z; |
| z = __ieee754_acoshf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(x<(float)1.0) { |
| /* acosh(x<1) */ |
| return (float)__kernel_standard((double)x,(double)x,129); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_asin.c |
|---|
| 0,0 → 1,49 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_asinf.c -- float version of w_asin.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_asinf.c,v 1.1 1994/08/10 20:33:34 jtc Exp $"; |
| #endif |
| /* |
| * wrapper asinf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float asinf(float x) /* wrapper asinf */ |
| #else |
| float asinf(x) /* wrapper asinf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_asinf(x); |
| #else |
| float z; |
| z = __ieee754_asinf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(fabsf(x)>(float)1.0) { |
| /* asinf(|x|>1) */ |
| return (float)__kernel_standard((double)x,(double)x,102); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_atan2.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_atan2f.c -- float version of w_atan2.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_atan2f.c,v 1.1 1994/08/10 20:33:41 jtc Exp $"; |
| #endif |
| /* |
| * wrapper atan2f(y,x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float atan2f(float y, float x) /* wrapper atan2f */ |
| #else |
| float atan2f(y,x) /* wrapper atan2 */ |
| float y,x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_atan2f(y,x); |
| #else |
| float z; |
| z = __ieee754_atan2f(y,x); |
| if(_LIB_VERSION == _IEEE_||isnanf(x)||isnanf(y)) return z; |
| if(x==(float)0.0&&y==(float)0.0) { |
| /* atan2f(+-0,+-0) */ |
| return (float)__kernel_standard((double)y,(double)x,103); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_atanh.c |
|---|
| 0,0 → 1,53 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_atanhf.c -- float version of w_atanh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_atanhf.c,v 1.1 1994/08/10 20:33:48 jtc Exp $"; |
| #endif |
| /* |
| * wrapper atanhf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float atanhf(float x) /* wrapper atanhf */ |
| #else |
| float atanhf(x) /* wrapper atanhf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_atanhf(x); |
| #else |
| float z,y; |
| z = __ieee754_atanhf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| y = fabsf(x); |
| if(y>=(float)1.0) { |
| if(y>(float)1.0) |
| /* atanhf(|x|>1) */ |
| return (float)__kernel_standard((double)x,(double)x,130); |
| else |
| /* atanhf(|x|==1) */ |
| return (float)__kernel_standard((double)x,(double)x,131); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_cabs.c |
|---|
| 0,0 → 1,22 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * cabsf() wrapper for hypotf(). |
| * |
| * Written by J.T. Conklin, <jtc@wimsey.com> |
| * Placed into the Public Domain, 1994. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| struct complex { |
| float x; |
| float y; |
| }; |
| float |
| cabsf(z) |
| struct complex z; |
| { |
| return hypotf(z.x, z.y); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_cosh.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_coshf.c -- float version of w_cosh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_coshf.c,v 1.1 1994/08/10 20:33:56 jtc Exp $"; |
| #endif |
| /* |
| * wrapper coshf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float coshf(float x) /* wrapper coshf */ |
| #else |
| float coshf(x) /* wrapper coshf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_coshf(x); |
| #else |
| float z; |
| z = __ieee754_coshf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(fabsf(x)>(float)8.9415985107e+01) { |
| /* cosh overflow */ |
| return (float)__kernel_standard((double)x,(double)x,105); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_drem.c |
|---|
| 0,0 → 1,17 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* |
| * dremf() wrapper for remainderf(). |
| * |
| * Written by J.T. Conklin, <jtc@wimsey.com> |
| * Placed into the Public Domain, 1994. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| float |
| dremf(x, y) |
| float x, y; |
| { |
| return remainderf(x, y); |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_exp.c |
|---|
| 0,0 → 1,59 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_expf.c -- float version of w_exp.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_expf.c,v 1.1 1994/08/10 20:34:03 jtc Exp $"; |
| #endif |
| /* |
| * wrapper expf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| static const float |
| #else |
| static float |
| #endif |
| o_threshold= 8.8721679688e+01, /* 0x42b17180 */ |
| u_threshold= -1.0397208405e+02; /* 0xc2cff1b5 */ |
| #ifdef __STDC__ |
| float expf(float x) /* wrapper expf */ |
| #else |
| float expf(x) /* wrapper expf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_expf(x); |
| #else |
| float z; |
| z = __ieee754_expf(x); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(finitef(x)) { |
| if(x>o_threshold) |
| /* exp overflow */ |
| return (float)__kernel_standard((double)x,(double)x,106); |
| else if(x<u_threshold) |
| /* exp underflow */ |
| return (float)__kernel_standard((double)x,(double)x,107); |
| } |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_fmod.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_fmodf.c -- float version of w_fmod.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_fmodf.c,v 1.1 1994/08/10 20:34:07 jtc Exp $"; |
| #endif |
| /* |
| * wrapper fmodf(x,y) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float fmodf(float x, float y) /* wrapper fmodf */ |
| #else |
| float fmodf(x,y) /* wrapper fmodf */ |
| float x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_fmodf(x,y); |
| #else |
| float z; |
| z = __ieee754_fmodf(x,y); |
| if(_LIB_VERSION == _IEEE_ ||isnanf(y)||isnanf(x)) return z; |
| if(y==(float)0.0) { |
| /* fmodf(x,0) */ |
| return (float)__kernel_standard((double)x,(double)y,127); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_gamma.c |
|---|
| 0,0 → 1,49 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_gammaf.c -- float version of w_gamma.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_gammaf.c,v 1.1 1994/08/10 20:34:16 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| float gammaf(float x) |
| #else |
| float gammaf(x) |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_gammaf_r(x,&signgam); |
| #else |
| float y; |
| y = __ieee754_gammaf_r(x,&signgam); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finitef(y)&&finitef(x)) { |
| if(floorf(x)==x&&x<=(float)0.0) |
| /* gammaf pole */ |
| return (float)__kernel_standard((double)x,(double)x,141); |
| else |
| /* gammaf overflow */ |
| return (float)__kernel_standard((double)x,(double)x,140); |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_hypot.c |
|---|
| 0,0 → 1,48 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_hypotf.c -- float version of w_hypot.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_hypotf.c,v 1.1 1994/08/10 20:34:27 jtc Exp $"; |
| #endif |
| /* |
| * wrapper hypotf(x,y) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float hypotf(float x, float y) /* wrapper hypotf */ |
| #else |
| float hypotf(x,y) /* wrapper hypotf */ |
| float x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_hypotf(x,y); |
| #else |
| float z; |
| z = __ieee754_hypotf(x,y); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if((!finitef(z))&&finitef(x)&&finitef(y)) |
| /* hypot overflow */ |
| return (float)__kernel_standard((double)x,(double)y,104); |
| else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_j0.c |
|---|
| 0,0 → 1,75 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_j0f.c -- float version of w_j0.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_j0f.c,v 1.1 1994/08/10 20:34:32 jtc Exp $"; |
| #endif |
| /* |
| * wrapper j0f(float x), y0f(float x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float j0f(float x) /* wrapper j0f */ |
| #else |
| float j0f(x) /* wrapper j0f */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_j0f(x); |
| #else |
| float z = __ieee754_j0f(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(fabsf(x)>(float)X_TLOSS) { |
| /* j0f(|x|>X_TLOSS) */ |
| return (float)__kernel_standard((double)x,(double)x,134); |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| float y0f(float x) /* wrapper y0f */ |
| #else |
| float y0f(x) /* wrapper y0f */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_y0f(x); |
| #else |
| float z; |
| z = __ieee754_y0f(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z; |
| if(x <= (float)0.0){ |
| if(x==(float)0.0) |
| /* d= -one/(x-x); */ |
| return (float)__kernel_standard((double)x,(double)x,108); |
| else |
| /* d = zero/(x-x); */ |
| return (float)__kernel_standard((double)x,(double)x,109); |
| } |
| if(x>(float)X_TLOSS) { |
| /* y0(x>X_TLOSS) */ |
| return (float)__kernel_standard((double)x,(double)x,135); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_j1.c |
|---|
| 0,0 → 1,76 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_j1f.c -- float version of w_j1.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_j1f.c,v 1.1 1994/08/10 20:34:39 jtc Exp $"; |
| #endif |
| /* |
| * wrapper of j1f,y1f |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float j1f(float x) /* wrapper j1f */ |
| #else |
| float j1f(x) /* wrapper j1f */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_j1f(x); |
| #else |
| float z; |
| z = __ieee754_j1f(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z; |
| if(fabsf(x)>(float)X_TLOSS) { |
| /* j1(|x|>X_TLOSS) */ |
| return (float)__kernel_standard((double)x,(double)x,136); |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| float y1f(float x) /* wrapper y1f */ |
| #else |
| float y1f(x) /* wrapper y1f */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_y1f(x); |
| #else |
| float z; |
| z = __ieee754_y1f(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z; |
| if(x <= (float)0.0){ |
| if(x==(float)0.0) |
| /* d= -one/(x-x); */ |
| return (float)__kernel_standard((double)x,(double)x,110); |
| else |
| /* d = zero/(x-x); */ |
| return (float)__kernel_standard((double)x,(double)x,111); |
| } |
| if(x>(float)X_TLOSS) { |
| /* y1(x>X_TLOSS) */ |
| return (float)__kernel_standard((double)x,(double)x,137); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_jn.c |
|---|
| 0,0 → 1,72 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_jnf.c -- float version of w_jn.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_jnf.c,v 1.1 1994/08/10 20:34:47 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float jnf(int n, float x) /* wrapper jnf */ |
| #else |
| float jnf(n,x) /* wrapper jnf */ |
| float x; int n; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_jnf(n,x); |
| #else |
| float z; |
| z = __ieee754_jnf(n,x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z; |
| if(fabsf(x)>(float)X_TLOSS) { |
| /* jn(|x|>X_TLOSS,n) */ |
| return (float)__kernel_standard((double)n,(double)x,138); |
| } else |
| return z; |
| #endif |
| } |
| #ifdef __STDC__ |
| float ynf(int n, float x) /* wrapper ynf */ |
| #else |
| float ynf(n,x) /* wrapper ynf */ |
| float x; int n; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_ynf(n,x); |
| #else |
| float z; |
| z = __ieee754_ynf(n,x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z; |
| if(x <= (float)0.0){ |
| if(x==(float)0.0) |
| /* d= -one/(x-x); */ |
| return (float)__kernel_standard((double)n,(double)x,112); |
| else |
| /* d = zero/(x-x); */ |
| return (float)__kernel_standard((double)n,(double)x,113); |
| } |
| if(x>(float)X_TLOSS) { |
| /* yn(x>X_TLOSS,n) */ |
| return (float)__kernel_standard((double)n,(double)x,139); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_lgamm.c |
|---|
| 0,0 → 1,49 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_lgammaf.c -- float version of w_lgamma.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_lgammaf.c,v 1.1 1994/08/10 20:35:00 jtc Exp $"; |
| #endif |
| #include "math.h" |
| #include "math_private.h" |
| extern int signgam; |
| #ifdef __STDC__ |
| float lgammaf(float x) |
| #else |
| float lgammaf(x) |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_lgammaf_r(x,&signgam); |
| #else |
| float y; |
| y = __ieee754_lgammaf_r(x,&signgam); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finitef(y)&&finitef(x)) { |
| if(floorf(x)==x&&x<=(float)0.0) |
| /* lgamma pole */ |
| return (float)__kernel_standard((double)x,(double)x,115); |
| else |
| /* lgamma overflow */ |
| return (float)__kernel_standard((double)x,(double)x,114); |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_log.c |
|---|
| 0,0 → 1,49 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_logf.c -- float version of w_log.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_logf.c,v 1.1 1994/08/10 20:35:23 jtc Exp $"; |
| #endif |
| /* |
| * wrapper logf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float logf(float x) /* wrapper logf */ |
| #else |
| float logf(x) /* wrapper logf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_logf(x); |
| #else |
| float z; |
| z = __ieee754_logf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x) || x > (float)0.0) return z; |
| if(x==(float)0.0) |
| /* logf(0) */ |
| return (float)__kernel_standard((double)x,(double)x,116); |
| else |
| /* logf(x<0) */ |
| return (float)__kernel_standard((double)x,(double)x,117); |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_log10.c |
|---|
| 0,0 → 1,52 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_log10f.c -- float version of w_log10.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_log10f.c,v 1.1 1994/08/10 20:35:20 jtc Exp $"; |
| #endif |
| /* |
| * wrapper log10f(X) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float log10f(float x) /* wrapper log10f */ |
| #else |
| float log10f(x) /* wrapper log10f */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_log10f(x); |
| #else |
| float z; |
| z = __ieee754_log10f(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(x<=(float)0.0) { |
| if(x==(float)0.0) |
| /* log10(0) */ |
| return (float)__kernel_standard((double)x,(double)x,118); |
| else |
| /* log10(x<0) */ |
| return (float)__kernel_standard((double)x,(double)x,119); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_pow.c |
|---|
| 0,0 → 1,73 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_powf.c -- float version of w_pow.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_powf.c,v 1.1 1994/08/10 20:35:29 jtc Exp $"; |
| #endif |
| /* |
| * wrapper powf(x,y) return x**y |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float powf(float x, float y) /* wrapper powf */ |
| #else |
| float powf(x,y) /* wrapper powf */ |
| float x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_powf(x,y); |
| #else |
| float z; |
| z=__ieee754_powf(x,y); |
| if(_LIB_VERSION == _IEEE_|| isnanf(y)) return z; |
| if(isnanf(x)) { |
| if(y==(float)0.0) |
| /* powf(NaN,0.0) */ |
| return (float)__kernel_standard((double)x,(double)y,142); |
| else |
| return z; |
| } |
| if(x==(float)0.0){ |
| if(y==(float)0.0) |
| /* powf(0.0,0.0) */ |
| return (float)__kernel_standard((double)x,(double)y,120); |
| if(finitef(y)&&y<(float)0.0) |
| /* powf(0.0,negative) */ |
| return (float)__kernel_standard((double)x,(double)y,123); |
| return z; |
| } |
| if(!finitef(z)) { |
| if(finitef(x)&&finitef(y)) { |
| if(isnanf(z)) |
| /* powf neg**non-int */ |
| return (float)__kernel_standard((double)x,(double)y,124); |
| else |
| /* powf overflow */ |
| return (float)__kernel_standard((double)x,(double)y,121); |
| } |
| } |
| if(z==(float)0.0&&finitef(x)&&finitef(y)) |
| /* powf underflow */ |
| return (float)__kernel_standard((double)x,(double)y,122); |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_remai.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_remainderf.c -- float version of w_remainder.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * 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. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_remainderf.c,v 1.1 1994/08/10 20:35:35 jtc Exp $"; |
| #endif |
| /* |
| * wrapper remainderf(x,p) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float remainderf(float x, float y) /* wrapper remainder */ |
| #else |
| float remainderf(x,y) /* wrapper remainder */ |
| float x,y; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_remainderf(x,y); |
| #else |
| float z; |
| z = __ieee754_remainderf(x,y); |
| if(_LIB_VERSION == _IEEE_ || isnanf(y)) return z; |
| if(y==(float)0.0) |
| /* remainder(x,0) */ |
| return (float)__kernel_standard((double)x,(double)y,128); |
| else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_scalb.c |
|---|
| 0,0 → 1,66 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_scalbf.c -- float version of w_scalb.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_scalbf.c,v 1.1 1994/08/10 20:35:40 jtc Exp $"; |
| #endif |
| /* |
| * wrapper scalbf(float x, float fn) is provide for |
| * passing various standard test suite. One |
| * should use scalbn() instead. |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #include <errno.h> |
| #ifdef __STDC__ |
| #ifdef _SCALB_INT |
| float scalbf(float x, int fn) /* wrapper scalbf */ |
| #else |
| float scalbf(float x, float fn) /* wrapper scalbf */ |
| #endif |
| #else |
| float scalbf(x,fn) /* wrapper scalbf */ |
| #ifdef _SCALB_INT |
| float x; int fn; |
| #else |
| float x,fn; |
| #endif |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_scalbf(x,fn); |
| #else |
| float z; |
| z = __ieee754_scalbf(x,fn); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(!(finitef(z)||isnanf(z))&&finitef(x)) { |
| /* scalbf overflow */ |
| return (float)__kernel_standard((double)x,(double)fn,132); |
| } |
| if(z==(float)0.0&&z!=x) { |
| /* scalbf underflow */ |
| return (float)__kernel_standard((double)x,(double)fn,133); |
| } |
| #ifndef _SCALB_INT |
| if(!finitef(fn)) errno = ERANGE; |
| #endif |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_sinh.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_sinhf.c -- float version of w_sinh.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_sinhf.c,v 1.1 1994/08/10 20:35:45 jtc Exp $"; |
| #endif |
| /* |
| * wrapper sinhf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float sinhf(float x) /* wrapper sinhf */ |
| #else |
| float sinhf(x) /* wrapper sinhf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_sinhf(x); |
| #else |
| float z; |
| z = __ieee754_sinhf(x); |
| if(_LIB_VERSION == _IEEE_) return z; |
| if(!finitef(z)&&finitef(x)) { |
| /* sinhf overflow */ |
| return (float)__kernel_standard((double)x,(double)x,125); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wf_sqrt.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_sqrtf.c -- float version of w_sqrt.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_sqrtf.c,v 1.1 1994/08/10 20:35:53 jtc Exp $"; |
| #endif |
| /* |
| * wrapper sqrtf(x) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float sqrtf(float x) /* wrapper sqrtf */ |
| #else |
| float sqrt(x) /* wrapper sqrtf */ |
| float x; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_sqrtf(x); |
| #else |
| float z; |
| z = __ieee754_sqrtf(x); |
| if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z; |
| if(x<(float)0.0) { |
| /* sqrtf(negative) */ |
| return (float)__kernel_standard((double)x,(double)x,126); |
| } else |
| return z; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wr_gamma.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)wr_gamma.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_gamma_r.c,v 1.4 1994/08/10 20:34:13 jtc Exp $"; |
| #endif |
| /* |
| * wrapper double gamma_r(double x, int *signgamp) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double gamma_r(double x, int *signgamp) /* wrapper lgamma_r */ |
| #else |
| double gamma_r(x,signgamp) /* wrapper lgamma_r */ |
| double x; int *signgamp; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_gamma_r(x,signgamp); |
| #else |
| double y; |
| y = __ieee754_gamma_r(x,signgamp); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finite(y)&&finite(x)) { |
| if(floor(x)==x&&x<=0.0) |
| return __kernel_standard(x,x,41); /* gamma pole */ |
| else |
| return __kernel_standard(x,x,40); /* gamma overflow */ |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wr_lgamm.c |
|---|
| 0,0 → 1,47 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* @(#)wr_lgamma.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_lgamma_r.c,v 1.4 1994/08/10 20:34:57 jtc Exp $"; |
| #endif |
| /* |
| * wrapper double lgamma_r(double x, int *signgamp) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| double lgamma_r(double x, int *signgamp) /* wrapper lgamma_r */ |
| #else |
| double lgamma_r(x,signgamp) /* wrapper lgamma_r */ |
| double x; int *signgamp; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_lgamma_r(x,signgamp); |
| #else |
| double y; |
| y = __ieee754_lgamma_r(x,signgamp); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finite(y)&&finite(x)) { |
| if(floor(x)==x&&x<=0.0) |
| return __kernel_standard(x,x,15); /* lgamma pole */ |
| else |
| return __kernel_standard(x,x,14); /* lgamma overflow */ |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wrf_gamm.c |
|---|
| 0,0 → 1,52 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_gammaf_r.c -- float version of w_gamma_r.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_gammaf_r.c,v 1.1 1994/08/10 20:34:20 jtc Exp $"; |
| #endif |
| /* |
| * wrapper float gammaf_r(float x, int *signgamp) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float gammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */ |
| #else |
| float gammaf_r(x,signgamp) /* wrapper lgammaf_r */ |
| float x; int *signgamp; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_gammaf_r(x,signgamp); |
| #else |
| float y; |
| y = __ieee754_gammaf_r(x,signgamp); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finitef(y)&&finitef(x)) { |
| if(floorf(x)==x&&x<=(float)0.0) |
| /* gammaf pole */ |
| return (float)__kernel_standard((double)x,(double)x,141); |
| else |
| /* gamma overflow */ |
| return (float)__kernel_standard((double)x,(double)x,140); |
| } else |
| return y; |
| #endif |
| } |
| /programs/develop/libraries/menuetlibc/src/libm/wrf_lgam.c |
|---|
| 0,0 → 1,52 |
| /* Copyright (C) 1994 DJ Delorie, see COPYING.DJ for details */ |
| /* w_lgammaf_r.c -- float version of w_lgamma_r.c. |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$Id: w_lgammaf_r.c,v 1.1 1994/08/10 20:35:05 jtc Exp $"; |
| #endif |
| /* |
| * wrapper float lgammaf_r(float x, int *signgamp) |
| */ |
| #include "math.h" |
| #include "math_private.h" |
| #ifdef __STDC__ |
| float lgammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */ |
| #else |
| float lgammaf_r(x,signgamp) /* wrapper lgammaf_r */ |
| float x; int *signgamp; |
| #endif |
| { |
| #ifdef _IEEE_LIBM |
| return __ieee754_lgammaf_r(x,signgamp); |
| #else |
| float y; |
| y = __ieee754_lgammaf_r(x,signgamp); |
| if(_LIB_VERSION == _IEEE_) return y; |
| if(!finitef(y)&&finitef(x)) { |
| if(floorf(x)==x&&x<=(float)0.0) |
| /* lgamma pole */ |
| return (float)__kernel_standard((double)x,(double)x,115); |
| else |
| /* lgamma overflow */ |
| return (float)__kernel_standard((double)x,(double)x,114); |
| } else |
| return y; |
| #endif |
| } |