From: nsz Date: Mon, 19 Mar 2012 18:26:31 +0000 (+0100) Subject: don't inline __rem_pio2l so the code size is smaller X-Git-Tag: v0.8.8~86^2~6 X-Git-Url: https://git.librecmc.org/?a=commitdiff_plain;h=2e8c8fbe7d65ba0026cb084dc8570d94cbc908ff;p=oweals%2Fmusl.git don't inline __rem_pio2l so the code size is smaller --- diff --git a/src/internal/libm.h b/src/internal/libm.h index 2092763e..67c42b98 100644 --- a/src/internal/libm.h +++ b/src/internal/libm.h @@ -135,6 +135,7 @@ float __tandf(double,int); float __expo2f(float); float complex __ldexp_cexpf(float complex,int); +int __rem_pio2l(long double, long double *); long double __sinl(long double, long double, int); long double __cosl(long double, long double); long double __tanl(long double, long double, int); diff --git a/src/math/__rem_pio2l.c b/src/math/__rem_pio2l.c new file mode 100644 index 00000000..10af404c --- /dev/null +++ b/src/math/__rem_pio2l.c @@ -0,0 +1,131 @@ +/* origin: FreeBSD /usr/src/lib/msun/ld80/e_rem_pio2.c */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + * Optimized by Bruce D. Evans. + */ +#include "libm.h" +#if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 +/* ld80 version of __rem_pio2(x,y) + * + * return the remainder of x rem pi/2 in y[0]+y[1] + * use __rem_pio2_large() for large x + */ + +#define BIAS (LDBL_MAX_EXP - 1) + +/* + * invpio2: 64 bits of 2/pi + * pio2_1: first 39 bits of pi/2 + * pio2_1t: pi/2 - pio2_1 + * pio2_2: second 39 bits of pi/2 + * pio2_2t: pi/2 - (pio2_1+pio2_2) + * pio2_3: third 39 bits of pi/2 + * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) + */ +static const double +zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ +two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ +pio2_1 = 1.57079632679597125389e+00, /* 0x3FF921FB, 0x54444000 */ +pio2_2 = -1.07463465549783099519e-12, /* -0x12e7b967674000.0p-92 */ +pio2_3 = 6.36831716351370313614e-25; /* 0x18a2e037074000.0p-133 */ + +static const long double +invpio2 = 6.36619772367581343076e-01L, /* 0xa2f9836e4e44152a.0p-64 */ +pio2_1t = -1.07463465549719416346e-12L, /* -0x973dcb3b399d747f.0p-103 */ +pio2_2t = 6.36831716351095013979e-25L, /* 0xc51701b839a25205.0p-144 */ +pio2_3t = -2.75299651904407171810e-37L; /* -0xbb5bf6c7ddd660ce.0p-185 */ + +int __rem_pio2l(long double x, long double *y) +{ + union IEEEl2bits u,u1; + long double z,w,t,r,fn; + double tx[3],ty[2]; + int e0,ex,i,j,nx,n; + int16_t expsign; + + u.e = x; + expsign = u.xbits.expsign; + ex = expsign & 0x7fff; + if (ex < BIAS + 25 || (ex == BIAS + 25 && u.bits.manh < 0xc90fdaa2)) { + union IEEEl2bits u2; + int ex1; + + /* |x| ~< 2^25*(pi/2), medium size */ + /* Use a specialized rint() to get fn. Assume round-to-nearest. */ + fn = x*invpio2 + 0x1.8p63; + fn = fn - 0x1.8p63; +// FIXME +//#ifdef HAVE_EFFICIENT_IRINT +// n = irint(fn); +//#else + n = fn; +//#endif + r = x-fn*pio2_1; + w = fn*pio2_1t; /* 1st round good to 102 bit */ + j = ex; + y[0] = r-w; + u2.e = y[0]; + ex1 = u2.xbits.expsign & 0x7fff; + i = j-ex1; + if (i > 22) { /* 2nd iteration needed, good to 141 */ + t = r; + w = fn*pio2_2; + r = t-w; + w = fn*pio2_2t-((t-r)-w); + y[0] = r-w; + u2.e = y[0]; + ex1 = u2.xbits.expsign & 0x7fff; + i = j-ex1; + if (i > 61) { /* 3rd iteration need, 180 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; + return n; + } + /* + * all other (large) arguments + */ + if (ex == 0x7fff) { /* x is inf or NaN */ + y[0] = y[1] = x - x; + return 0; + } + /* set z = scalbn(|x|,ilogb(x)-23) */ + u1.e = x; + e0 = ex - BIAS - 23; /* e0 = ilogb(|x|)-23; */ + u1.xbits.expsign = ex - e0; + z = u1.e; + 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 = __rem_pio2_large(tx,ty,e0,nx,2); + r = (long double)ty[0] + ty[1]; + w = ty[1] - (r - ty[0]); + if (expsign < 0) { + y[0] = -r; + y[1] = -w; + return -n; + } + y[0] = r; + y[1] = w; + return n; +} +#endif diff --git a/src/math/__rem_pio2l.h b/src/math/__rem_pio2l.h deleted file mode 100644 index 11123c3f..00000000 --- a/src/math/__rem_pio2l.h +++ /dev/null @@ -1,131 +0,0 @@ -/* origin: FreeBSD /usr/src/lib/msun/ld80/e_rem_pio2.c */ -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. - * - * Developed at SunSoft, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - * - * Optimized by Bruce D. Evans. - */ -#include "libm.h" -#if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 -/* ld80 version of __rem_pio2(x,y) - * - * return the remainder of x rem pi/2 in y[0]+y[1] - * use __rem_pio2_large() for large x - */ - -#define BIAS (LDBL_MAX_EXP - 1) - -/* - * invpio2: 64 bits of 2/pi - * pio2_1: first 39 bits of pi/2 - * pio2_1t: pi/2 - pio2_1 - * pio2_2: second 39 bits of pi/2 - * pio2_2t: pi/2 - (pio2_1+pio2_2) - * pio2_3: third 39 bits of pi/2 - * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) - */ -static const double -zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ -two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ -pio2_1 = 1.57079632679597125389e+00, /* 0x3FF921FB, 0x54444000 */ -pio2_2 = -1.07463465549783099519e-12, /* -0x12e7b967674000.0p-92 */ -pio2_3 = 6.36831716351370313614e-25; /* 0x18a2e037074000.0p-133 */ - -static const long double -invpio2 = 6.36619772367581343076e-01L, /* 0xa2f9836e4e44152a.0p-64 */ -pio2_1t = -1.07463465549719416346e-12L, /* -0x973dcb3b399d747f.0p-103 */ -pio2_2t = 6.36831716351095013979e-25L, /* 0xc51701b839a25205.0p-144 */ -pio2_3t = -2.75299651904407171810e-37L; /* -0xbb5bf6c7ddd660ce.0p-185 */ - -static inline int __rem_pio2l(long double x, long double *y) -{ - union IEEEl2bits u,u1; - long double z,w,t,r,fn; - double tx[3],ty[2]; - int e0,ex,i,j,nx,n; - int16_t expsign; - - u.e = x; - expsign = u.xbits.expsign; - ex = expsign & 0x7fff; - if (ex < BIAS + 25 || (ex == BIAS + 25 && u.bits.manh < 0xc90fdaa2)) { - union IEEEl2bits u2; - int ex1; - - /* |x| ~< 2^25*(pi/2), medium size */ - /* Use a specialized rint() to get fn. Assume round-to-nearest. */ - fn = x*invpio2 + 0x1.8p63; - fn = fn - 0x1.8p63; -// FIXME -//#ifdef HAVE_EFFICIENT_IRINT -// n = irint(fn); -//#else - n = fn; -//#endif - r = x-fn*pio2_1; - w = fn*pio2_1t; /* 1st round good to 102 bit */ - j = ex; - y[0] = r-w; - u2.e = y[0]; - ex1 = u2.xbits.expsign & 0x7fff; - i = j-ex1; - if (i > 22) { /* 2nd iteration needed, good to 141 */ - t = r; - w = fn*pio2_2; - r = t-w; - w = fn*pio2_2t-((t-r)-w); - y[0] = r-w; - u2.e = y[0]; - ex1 = u2.xbits.expsign & 0x7fff; - i = j-ex1; - if (i > 61) { /* 3rd iteration need, 180 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; - return n; - } - /* - * all other (large) arguments - */ - if (ex == 0x7fff) { /* x is inf or NaN */ - y[0] = y[1] = x - x; - return 0; - } - /* set z = scalbn(|x|,ilogb(x)-23) */ - u1.e = x; - e0 = ex - BIAS - 23; /* e0 = ilogb(|x|)-23; */ - u1.xbits.expsign = ex - e0; - z = u1.e; - 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 = __rem_pio2_large(tx,ty,e0,nx,2); - r = (long double)ty[0] + ty[1]; - w = ty[1] - (r - ty[0]); - if (expsign < 0) { - y[0] = -r; - y[1] = -w; - return -n; - } - y[0] = r; - y[1] = w; - return n; -} -#endif diff --git a/src/math/cosl.c b/src/math/cosl.c index 2c650cdc..25d9005a 100644 --- a/src/math/cosl.c +++ b/src/math/cosl.c @@ -36,8 +36,6 @@ long double cosl(long double x) { return cos(x); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 -#include "__rem_pio2l.h" - long double cosl(long double x) { union IEEEl2bits z; diff --git a/src/math/sincosl.c b/src/math/sincosl.c index 378dc979..e14129a2 100644 --- a/src/math/sincosl.c +++ b/src/math/sincosl.c @@ -9,8 +9,6 @@ void sincosl(long double x, long double *sin, long double *cos) *cos = c; } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 -#include "__rem_pio2l.h" - void sincosl(long double x, long double *sin, long double *cos) { union IEEEl2bits u; diff --git a/src/math/sinl.c b/src/math/sinl.c index 0b1aeb75..7e0b44f4 100644 --- a/src/math/sinl.c +++ b/src/math/sinl.c @@ -34,8 +34,6 @@ long double sinl(long double x) return sin(x); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 -#include "__rem_pio2l.h" - long double sinl(long double x) { union IEEEl2bits z; diff --git a/src/math/tanl.c b/src/math/tanl.c index 462ead91..0194eaf7 100644 --- a/src/math/tanl.c +++ b/src/math/tanl.c @@ -38,8 +38,6 @@ long double tanl(long double x) return tan(x); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 -#include "__rem_pio2l.h" - long double tanl(long double x) { union IEEEl2bits z;