Merge "Insulate against log spam." into main
diff --git a/libc/arch-arm64/dynamic_function_dispatch.cpp b/libc/arch-arm64/dynamic_function_dispatch.cpp
index a42c361..f9e4263 100644
--- a/libc/arch-arm64/dynamic_function_dispatch.cpp
+++ b/libc/arch-arm64/dynamic_function_dispatch.cpp
@@ -66,7 +66,9 @@
typedef void* memcpy_func(void*, const void*, size_t);
DEFINE_IFUNC_FOR(memcpy) {
- if (__bionic_is_oryon(arg->_hwcap)) {
+ if (arg->_hwcap2 & HWCAP2_MOPS) {
+ RETURN_FUNC(memcpy_func, __memmove_aarch64_mops);
+ } else if (__bionic_is_oryon(arg->_hwcap)) {
RETURN_FUNC(memcpy_func, __memcpy_aarch64_nt);
} else if (arg->_hwcap & HWCAP_ASIMD) {
RETURN_FUNC(memcpy_func, __memcpy_aarch64_simd);
@@ -77,7 +79,9 @@
typedef void* memmove_func(void*, const void*, size_t);
DEFINE_IFUNC_FOR(memmove) {
- if (__bionic_is_oryon(arg->_hwcap)) {
+ if (arg->_hwcap2 & HWCAP2_MOPS) {
+ RETURN_FUNC(memmove_func, __memmove_aarch64_mops);
+ } else if (__bionic_is_oryon(arg->_hwcap)) {
RETURN_FUNC(memcpy_func, __memmove_aarch64_nt);
} else if (arg->_hwcap & HWCAP_ASIMD) {
RETURN_FUNC(memmove_func, __memmove_aarch64_simd);
@@ -93,7 +97,9 @@
typedef int memset_func(void*, int, size_t);
DEFINE_IFUNC_FOR(memset) {
- if (__bionic_is_oryon(arg->_hwcap)) {
+ if (arg->_hwcap2 & HWCAP2_MOPS) {
+ RETURN_FUNC(memset_func, __memset_aarch64_mops);
+ } else if (__bionic_is_oryon(arg->_hwcap)) {
RETURN_FUNC(memset_func, __memset_aarch64_nt);
} else {
RETURN_FUNC(memset_func, __memset_aarch64);
diff --git a/libm/NOTICE b/libm/NOTICE
index 15344c3..3c0e783 100644
--- a/libm/NOTICE
+++ b/libm/NOTICE
@@ -140,15 +140,6 @@
-------------------------------------------------------------------
====================================================
-Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
-
-Permission to use, copy, modify, and distribute this
-software is freely granted, provided that this notice
-is preserved.
-
--------------------------------------------------------------------
-
-====================================================
Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
Permission to use, copy, modify, and distribute this
@@ -1247,33 +1238,3 @@
-------------------------------------------------------------------
-SPDX-License-Identifier: BSD-3-Clause
-
-Copyright (c) 2003 Dag-Erling Smørgrav
-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
- in this position and unchanged.
-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. 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.
-
--------------------------------------------------------------------
-
diff --git a/libm/upstream-freebsd/lib/msun/src/e_exp.c b/libm/upstream-freebsd/lib/msun/src/e_exp.c
deleted file mode 100644
index 59da392..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_exp.c
+++ /dev/null
@@ -1,164 +0,0 @@
-
-/* @(#)e_exp.c 1.6 04/04/22 */
-/*
- * ====================================================
- * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
- *
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/* exp(x)
- * Returns the exponential of x.
- *
- * Method
- * 1. Argument reduction:
- * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658.
- * Given x, find r and integer k such that
- *
- * x = k*ln2 + r, |r| <= 0.5*ln2.
- *
- * Here r will be represented as r = hi-lo for better
- * accuracy.
- *
- * 2. Approximation of exp(r) by a special rational function on
- * the interval [0,0.34658]:
- * Write
- * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
- * We use a special Remes algorithm on [0,0.34658] to generate
- * a polynomial of degree 5 to approximate R. The maximum error
- * of this polynomial approximation is bounded by 2**-59. In
- * other words,
- * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
- * (where z=r*r, and the values of P1 to P5 are listed below)
- * and
- * | 5 | -59
- * | 2.0+P1*z+...+P5*z - R(z) | <= 2
- * | |
- * The computation of exp(r) thus becomes
- * 2*r
- * exp(r) = 1 + -------
- * R - r
- * r*R1(r)
- * = 1 + r + ----------- (for better accuracy)
- * 2 - R1(r)
- * where
- * 2 4 10
- * R1(r) = r - (P1*r + P2*r + ... + P5*r ).
- *
- * 3. Scale back to obtain exp(x):
- * From step 1, we have
- * exp(x) = 2^k * exp(r)
- *
- * Special cases:
- * exp(INF) is INF, exp(NaN) is NaN;
- * exp(-INF) is 0, and
- * for finite argument, only exp(0)=1 is exact.
- *
- * Accuracy:
- * according to an error analysis, the error is always less than
- * 1 ulp (unit in the last place).
- *
- * Misc. info.
- * For IEEE double
- * if x > 7.09782712893383973096e+02 then exp(x) overflow
- * if x < -7.45133219101941108420e+02 then exp(x) underflow
- *
- * 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 <float.h>
-
-#include "math.h"
-#include "math_private.h"
-
-static const double
-one = 1.0,
-halF[2] = {0.5,-0.5,},
-o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
-u_threshold= -7.45133219101941108420e+02, /* 0xc0874910, 0xD52D3051 */
-ln2HI[2] ={ 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
- -6.93147180369123816490e-01,},/* 0xbfe62e42, 0xfee00000 */
-ln2LO[2] ={ 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
- -1.90821492927058770002e-10,},/* 0xbdea39ef, 0x35793c76 */
-invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
-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 */
-
-static volatile double
-huge = 1.0e+300,
-twom1000= 9.33263618503218878990e-302; /* 2**-1000=0x01700000,0*/
-
-double
-exp(double x) /* default IEEE double exp */
-{
- double y,hi=0.0,lo=0.0,c,t,twopk;
- int32_t k=0,xsb;
- u_int32_t hx;
-
- GET_HIGH_WORD(hx,x);
- xsb = (hx>>31)&1; /* sign bit of x */
- hx &= 0x7fffffff; /* high word of |x| */
-
- /* filter out non-finite argument */
- if(hx >= 0x40862E42) { /* if |x|>=709.78... */
- if(hx>=0x7ff00000) {
- u_int32_t lx;
- GET_LOW_WORD(lx,x);
- if(((hx&0xfffff)|lx)!=0)
- return x+x; /* NaN */
- else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
- }
- if(x > o_threshold) return huge*huge; /* overflow */
- if(x < u_threshold) return twom1000*twom1000; /* underflow */
- }
-
- /* argument reduction */
- if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
- if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
- hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
- } else {
- k = (int)(invln2*x+halF[xsb]);
- t = k;
- hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
- lo = t*ln2LO[0];
- }
- STRICT_ASSIGN(double, x, hi - lo);
- }
- else if(hx < 0x3e300000) { /* when |x|<2**-28 */
- if(huge+x>one) return one+x;/* trigger inexact */
- }
- else k = 0;
-
- /* x is now in primary range */
- t = x*x;
- if(k >= -1021)
- INSERT_WORDS(twopk,((u_int32_t)(0x3ff+k))<<20, 0);
- else
- INSERT_WORDS(twopk,((u_int32_t)(0x3ff+(k+1000)))<<20, 0);
- c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
- if(k==0) return one-((x*c)/(c-2.0)-x);
- else y = one-((lo-(x*c)/(2.0-c))-hi);
- if(k >= -1021) {
- if (k==1024) return y*2.0*0x1p1023;
- return y*twopk;
- } else {
- return y*twopk*twom1000;
- }
-}
-
-#if (LDBL_MANT_DIG == 53)
-__weak_reference(exp, expl);
-#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_expf.c b/libm/upstream-freebsd/lib/msun/src/e_expf.c
deleted file mode 100644
index 620d341..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_expf.c
+++ /dev/null
@@ -1,98 +0,0 @@
-/* e_expf.c -- float version of e_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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#include "math_private.h"
-
-static const float
-one = 1.0,
-halF[2] = {0.5,-0.5,},
-o_threshold= 8.8721679688e+01, /* 0x42b17180 */
-u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
-ln2HI[2] ={ 6.9314575195e-01, /* 0x3f317200 */
- -6.9314575195e-01,}, /* 0xbf317200 */
-ln2LO[2] ={ 1.4286067653e-06, /* 0x35bfbe8e */
- -1.4286067653e-06,}, /* 0xb5bfbe8e */
-invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
-/*
- * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]:
- * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74
- */
-P1 = 1.6666625440e-1, /* 0xaaaa8f.0p-26 */
-P2 = -2.7667332906e-3; /* -0xb55215.0p-32 */
-
-static volatile float
-huge = 1.0e+30,
-twom100 = 7.8886090522e-31; /* 2**-100=0x0d800000 */
-
-float
-expf(float x)
-{
- float y,hi=0.0,lo=0.0,c,t,twopk;
- int32_t k=0,xsb;
- u_int32_t hx;
-
- GET_FLOAT_WORD(hx,x);
- xsb = (hx>>31)&1; /* sign bit of x */
- hx &= 0x7fffffff; /* high word of |x| */
-
- /* filter out non-finite argument */
- if(hx >= 0x42b17218) { /* if |x|>=88.721... */
- if(hx>0x7f800000)
- return x+x; /* NaN */
- if(hx==0x7f800000)
- return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
- if(x > o_threshold) return huge*huge; /* overflow */
- if(x < u_threshold) return twom100*twom100; /* underflow */
- }
-
- /* argument reduction */
- if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
- if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
- hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
- } else {
- k = invln2*x+halF[xsb];
- t = k;
- hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
- lo = t*ln2LO[0];
- }
- STRICT_ASSIGN(float, x, hi - lo);
- }
- else if(hx < 0x39000000) { /* when |x|<2**-14 */
- if(huge+x>one) return one+x;/* trigger inexact */
- }
- else k = 0;
-
- /* x is now in primary range */
- t = x*x;
- if(k >= -125)
- SET_FLOAT_WORD(twopk,((u_int32_t)(0x7f+k))<<23);
- else
- SET_FLOAT_WORD(twopk,((u_int32_t)(0x7f+(k+100)))<<23);
- c = x - t*(P1+t*P2);
- if(k==0) return one-((x*c)/(c-(float)2.0)-x);
- else y = one-((lo-(x*c)/((float)2.0-c))-hi);
- if(k >= -125) {
- if(k==128) return y*2.0F*0x1p127F;
- return y*twopk;
- } else {
- return y*twopk*twom100;
- }
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log.c b/libm/upstream-freebsd/lib/msun/src/e_log.c
deleted file mode 100644
index 03ce820..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_log.c
+++ /dev/null
@@ -1,147 +0,0 @@
-
-/* @(#)e_log.c 1.3 95/01/18 */
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/* log(x)
- * Return the logrithm of x
- *
- * Method :
- * 1. Argument Reduction: find k and f such that
- * x = 2^k * (1+f),
- * where sqrt(2)/2 < 1+f < sqrt(2) .
- *
- * 2. Approximation of log(1+f).
- * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
- * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
- * = 2s + s*R
- * We use a special Reme algorithm on [0,0.1716] to generate
- * a polynomial of degree 14 to approximate R The maximum error
- * of this polynomial approximation is bounded by 2**-58.45. In
- * other words,
- * 2 4 6 8 10 12 14
- * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
- * (the values of Lg1 to Lg7 are listed in the program)
- * and
- * | 2 14 | -58.45
- * | Lg1*s +...+Lg7*s - R(z) | <= 2
- * | |
- * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
- * In order to guarantee error in log below 1ulp, we compute log
- * by
- * log(1+f) = f - s*(f - R) (if f is not too large)
- * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy)
- *
- * 3. Finally, log(x) = k*ln2 + log(1+f).
- * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
- * Here ln2 is split into two floating point number:
- * ln2_hi + ln2_lo,
- * where n*ln2_hi is always exact for |n| < 2000.
- *
- * Special cases:
- * log(x) is NaN with signal if x < 0 (including -INF) ;
- * log(+INF) is +INF; log(0) is -INF with signal;
- * log(NaN) is that NaN with no signal.
- *
- * Accuracy:
- * according to an error analysis, the error is always less than
- * 1 ulp (unit in the last place).
- *
- * 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 <float.h>
-
-#include "math.h"
-#include "math_private.h"
-
-static const double
-ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
-ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
-two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
-Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
-Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
-Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
-Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
-Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
-Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
-Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
-
-static const double zero = 0.0;
-static volatile double vzero = 0.0;
-
-double
-log(double x)
-{
- double hfsq,f,s,z,R,w,t1,t2,dk;
- int32_t k,hx,i,j;
- u_int32_t lx;
-
- EXTRACT_WORDS(hx,lx,x);
-
- k=0;
- if (hx < 0x00100000) { /* x < 2**-1022 */
- if (((hx&0x7fffffff)|lx)==0)
- return -two54/vzero; /* log(+-0)=-inf */
- if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
- k -= 54; x *= two54; /* subnormal number, scale up x */
- GET_HIGH_WORD(hx,x);
- }
- if (hx >= 0x7ff00000) return x+x;
- k += (hx>>20)-1023;
- hx &= 0x000fffff;
- i = (hx+0x95f64)&0x100000;
- SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
- k += (i>>20);
- f = x-1.0;
- if((0x000fffff&(2+hx))<3) { /* -2**-20 <= f < 2**-20 */
- if(f==zero) {
- if(k==0) {
- return zero;
- } else {
- dk=(double)k;
- return dk*ln2_hi+dk*ln2_lo;
- }
- }
- R = f*f*(0.5-0.33333333333333333*f);
- if(k==0) return f-R; else {dk=(double)k;
- return dk*ln2_hi-((R-dk*ln2_lo)-f);}
- }
- s = f/(2.0+f);
- dk = (double)k;
- z = s*s;
- i = hx-0x6147a;
- w = z*z;
- j = 0x6b851-hx;
- t1= w*(Lg2+w*(Lg4+w*Lg6));
- t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
- i |= j;
- R = t2+t1;
- if(i>0) {
- hfsq=0.5*f*f;
- if(k==0) return f-(hfsq-s*(hfsq+R)); else
- return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
- } else {
- if(k==0) return f-s*(f-R); else
- return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
- }
-}
-
-#if (LDBL_MANT_DIG == 53)
-__weak_reference(log, logl);
-#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log2.c b/libm/upstream-freebsd/lib/msun/src/e_log2.c
deleted file mode 100644
index 10b1c00..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_log2.c
+++ /dev/null
@@ -1,117 +0,0 @@
-
-/* @(#)e_log10.c 1.3 95/01/18 */
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/*
- * Return the base 2 logarithm of x. See e_log.c and k_log.h for most
- * comments.
- *
- * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel,
- * then does the combining and scaling steps
- * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k
- * in not-quite-routine extra precision.
- */
-
-#include <float.h>
-
-#include "math.h"
-#include "math_private.h"
-#include "k_log.h"
-
-static const double
-two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
-ivln2hi = 1.44269504072144627571e+00, /* 0x3ff71547, 0x65200000 */
-ivln2lo = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */
-
-static const double zero = 0.0;
-static volatile double vzero = 0.0;
-
-double
-log2(double x)
-{
- double f,hfsq,hi,lo,r,val_hi,val_lo,w,y;
- int32_t i,k,hx;
- u_int32_t lx;
-
- EXTRACT_WORDS(hx,lx,x);
-
- k=0;
- if (hx < 0x00100000) { /* x < 2**-1022 */
- if (((hx&0x7fffffff)|lx)==0)
- return -two54/vzero; /* log(+-0)=-inf */
- if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
- k -= 54; x *= two54; /* subnormal number, scale up x */
- GET_HIGH_WORD(hx,x);
- }
- if (hx >= 0x7ff00000) return x+x;
- if (hx == 0x3ff00000 && lx == 0)
- return zero; /* log(1) = +0 */
- k += (hx>>20)-1023;
- hx &= 0x000fffff;
- i = (hx+0x95f64)&0x100000;
- SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
- k += (i>>20);
- y = (double)k;
- f = x - 1.0;
- hfsq = 0.5*f*f;
- r = k_log1p(f);
-
- /*
- * f-hfsq must (for args near 1) be evaluated in extra precision
- * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2).
- * This is fairly efficient since f-hfsq only depends on f, so can
- * be evaluated in parallel with R. Not combining hfsq with R also
- * keeps R small (though not as small as a true `lo' term would be),
- * so that extra precision is not needed for terms involving R.
- *
- * Compiler bugs involving extra precision used to break Dekker's
- * theorem for spitting f-hfsq as hi+lo, unless double_t was used
- * or the multi-precision calculations were avoided when double_t
- * has extra precision. These problems are now automatically
- * avoided as a side effect of the optimization of combining the
- * Dekker splitting step with the clear-low-bits step.
- *
- * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra
- * precision to avoid a very large cancellation when x is very near
- * these values. Unlike the above cancellations, this problem is
- * specific to base 2. It is strange that adding +-1 is so much
- * harder than adding +-ln2 or +-log10_2.
- *
- * This uses Dekker's theorem to normalize y+val_hi, so the
- * compiler bugs are back in some configurations, sigh. And I
- * don't want to used double_t to avoid them, since that gives a
- * pessimization and the support for avoiding the pessimization
- * is not yet available.
- *
- * The multi-precision calculations for the multiplications are
- * routine.
- */
- hi = f - hfsq;
- SET_LOW_WORD(hi,0);
- lo = (f - hi) - hfsq + r;
- val_hi = hi*ivln2hi;
- val_lo = (lo+hi)*ivln2lo + lo*ivln2hi;
-
- /* spadd(val_hi, val_lo, y), except for not using double_t: */
- w = y + val_hi;
- val_lo += (y - w) + val_hi;
- val_hi = w;
-
- return val_lo + val_hi;
-}
-
-#if (LDBL_MANT_DIG == 53)
-__weak_reference(log2, log2l);
-#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log2f.c b/libm/upstream-freebsd/lib/msun/src/e_log2f.c
deleted file mode 100644
index 956f33a..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_log2f.c
+++ /dev/null
@@ -1,82 +0,0 @@
-/*
- * ====================================================
- * 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/*
- * Float version of e_log2.c. See the latter for most comments.
- */
-
-#include "math.h"
-#include "math_private.h"
-#include "k_logf.h"
-
-static const float
-two25 = 3.3554432000e+07, /* 0x4c000000 */
-ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
-ivln2lo = -1.7605285393e-04; /* 0xb9389ad4 */
-
-static const float zero = 0.0;
-static volatile float vzero = 0.0;
-
-float
-log2f(float x)
-{
- float f,hfsq,hi,lo,r,y;
- int32_t i,k,hx;
-
- GET_FLOAT_WORD(hx,x);
-
- k=0;
- if (hx < 0x00800000) { /* x < 2**-126 */
- if ((hx&0x7fffffff)==0)
- return -two25/vzero; /* log(+-0)=-inf */
- if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
- k -= 25; x *= two25; /* subnormal number, scale up x */
- GET_FLOAT_WORD(hx,x);
- }
- if (hx >= 0x7f800000) return x+x;
- if (hx == 0x3f800000)
- return zero; /* log(1) = +0 */
- k += (hx>>23)-127;
- hx &= 0x007fffff;
- i = (hx+(0x4afb0d))&0x800000;
- SET_FLOAT_WORD(x,hx|(i^0x3f800000)); /* normalize x or x/2 */
- k += (i>>23);
- y = (float)k;
- f = x - (float)1.0;
- hfsq = (float)0.5*f*f;
- r = k_log1pf(f);
-
- /*
- * We no longer need to avoid falling into the multi-precision
- * calculations due to compiler bugs breaking Dekker's theorem.
- * Keep avoiding this as an optimization. See e_log2.c for more
- * details (some details are here only because the optimization
- * is not yet available in double precision).
- *
- * Another compiler bug turned up. With gcc on i386,
- * (ivln2lo + ivln2hi) would be evaluated in float precision
- * despite runtime evaluations using double precision. So we
- * must cast one of its terms to float_t. This makes the whole
- * expression have type float_t, so return is forced to waste
- * time clobbering its extra precision.
- */
- if (sizeof(float_t) > sizeof(float))
- return (r - hfsq + f) * ((float_t)ivln2lo + ivln2hi) + y;
-
- hi = f - hfsq;
- GET_FLOAT_WORD(hx,hi);
- SET_FLOAT_WORD(hi,hx&0xfffff000);
- lo = (f - hi) - hfsq + r;
- return (lo+hi)*ivln2lo + lo*ivln2hi + hi*ivln2hi + y;
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_logf.c b/libm/upstream-freebsd/lib/msun/src/e_logf.c
deleted file mode 100644
index 68a4d5d..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_logf.c
+++ /dev/null
@@ -1,89 +0,0 @@
-/* e_logf.c -- float version of e_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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include "math.h"
-#include "math_private.h"
-
-static const float
-ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
-ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
-two25 = 3.355443200e+07, /* 0x4c000000 */
-/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
-Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
-Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
-Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
-Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
-
-static const float zero = 0.0;
-static volatile float vzero = 0.0;
-
-float
-logf(float x)
-{
- float hfsq,f,s,z,R,w,t1,t2,dk;
- int32_t k,ix,i,j;
-
- GET_FLOAT_WORD(ix,x);
-
- k=0;
- if (ix < 0x00800000) { /* x < 2**-126 */
- if ((ix&0x7fffffff)==0)
- return -two25/vzero; /* log(+-0)=-inf */
- if (ix<0) return (x-x)/zero; /* log(-#) = NaN */
- k -= 25; x *= two25; /* subnormal number, scale up x */
- GET_FLOAT_WORD(ix,x);
- }
- if (ix >= 0x7f800000) return x+x;
- k += (ix>>23)-127;
- ix &= 0x007fffff;
- i = (ix+(0x95f64<<3))&0x800000;
- SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
- k += (i>>23);
- f = x-(float)1.0;
- if((0x007fffff&(0x8000+ix))<0xc000) { /* -2**-9 <= f < 2**-9 */
- if(f==zero) {
- if(k==0) {
- return zero;
- } else {
- dk=(float)k;
- return dk*ln2_hi+dk*ln2_lo;
- }
- }
- R = f*f*((float)0.5-(float)0.33333333333333333*f);
- if(k==0) return f-R; else {dk=(float)k;
- return dk*ln2_hi-((R-dk*ln2_lo)-f);}
- }
- s = f/((float)2.0+f);
- dk = (float)k;
- z = s*s;
- i = ix-(0x6147a<<3);
- w = z*z;
- j = (0x6b851<<3)-ix;
- t1= w*(Lg2+w*Lg4);
- t2= z*(Lg1+w*Lg3);
- i |= j;
- R = t2+t1;
- if(i>0) {
- hfsq=(float)0.5*f*f;
- if(k==0) return f-(hfsq-s*(hfsq+R)); else
- return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
- } else {
- if(k==0) return f-s*(f-R); else
- return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
- }
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_pow.c b/libm/upstream-freebsd/lib/msun/src/e_pow.c
deleted file mode 100644
index adc64c9..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_pow.c
+++ /dev/null
@@ -1,314 +0,0 @@
-/* @(#)e_pow.c 1.5 04/04/22 SMI */
-/*
- * ====================================================
- * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
- *
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/* 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 multi-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 except 1 ** NAN = 1
- * 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 1
- * 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 <float.h>
-#include "math.h"
-#include "math_private.h"
-
-static const double
-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,
-half = 0.5,
-qrtr = 0.25,
-thrd = 3.3333333333333331e-01, /* 0x3fd55555, 0x55555555 */
-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*/
-
-double
-pow(double x, double y)
-{
- 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;
-
- /* x==1: 1**y = 1, even if y is NaN */
- if (hx==0x3ff00000 && lx == 0) return one;
-
- /* y!=zero: result is NaN if either arg is NaN */
- if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
- iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
- return nan_mix(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(((u_int32_t)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 one; /* (-1)**+-inf is 1 */
- 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;
- }
- }
-
- /* CYGNUS LOCAL + fdlibm-5.3 fix: This used to be
- n = (hx>>31)+1;
- but ANSI C says a right shift of a signed negative quantity is
- implementation defined. */
- n = ((u_int32_t)hx>>31)-1;
-
- /* (x<0)**(non-int) is NaN */
- if((n|yisint)==0) return (x-x)/(x-x);
-
- s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
- if((n|(yisint-1))==0) s = -one;/* (-ve)**(odd int) */
-
- /* |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)? s*huge*huge:s*tiny*tiny;
- if(ix>0x3ff00000) return (hy>0)? s*huge*huge:s*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 = ax-one; /* t has 20 trailing zeros */
- w = (t*t)*(half-t*(thrd-t*qrtr));
- 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 ss,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 ss = 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]);
- ss = u*v;
- s_h = ss;
- 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 = ss*ss;
- r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
- r += s_l*(s_h+ss);
- s2 = s_h*s_h;
- t_h = 3+s2+r;
- SET_LOW_WORD(t_h,0);
- t_l = r-((t_h-3)-s2);
- /* u+v = ss*(1+...) */
- u = s_h*t_h;
- v = s_l*t_h+t_l*ss;
- /* 2/(3log2)*(ss+...) */
- 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) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */
- t = 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);
- }
-
- /* 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;
-}
-
-#if (LDBL_MANT_DIG == 53)
-__weak_reference(pow, powl);
-#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_powf.c b/libm/upstream-freebsd/lib/msun/src/e_powf.c
deleted file mode 100644
index f5a2c70..0000000
--- a/libm/upstream-freebsd/lib/msun/src/e_powf.c
+++ /dev/null
@@ -1,252 +0,0 @@
-/* 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include "math.h"
-#include "math_private.h"
-
-static const float
-bp[] = {1.0, 1.5,},
-dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
-dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
-zero = 0.0,
-half = 0.5,
-qrtr = 0.25,
-thrd = 3.33333343e-01, /* 0x3eaaaaab */
-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 = 9.6191406250e-01, /* 0x3f764000 =12b cp */
-cp_l = -1.1736857402e-04, /* 0xb8f623c6 =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*/
-
-float
-powf(float x, float y)
-{
- float z,ax,z_h,z_l,p_h,p_l;
- float y1,t1,t2,r,s,sn,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;
-
- /* x==1: 1**y = 1, even if y is NaN */
- if (hx==0x3f800000) return one;
-
- /* y!=zero: result is NaN if either arg is NaN */
- if(ix > 0x7f800000 ||
- iy > 0x7f800000)
- return nan_mix(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 one; /* (-1)**+-inf 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;
- }
-
- n = ((u_int32_t)hx>>31)-1;
-
- /* (x<0)**(non-int) is NaN */
- if((n|yisint)==0) return (x-x)/(x-x);
-
- sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
- if((n|(yisint-1))==0) sn = -one;/* (-ve)**(odd int) */
-
- /* |y| is huge */
- if(iy>0x4d000000) { /* if |y| > 2**27 */
- /* over/underflow if x is not close to one */
- if(ix<0x3f7ffff6) return (hy<0)? sn*huge*huge:sn*tiny*tiny;
- if(ix>0x3f800007) return (hy>0)? sn*huge*huge:sn*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 = ax-1; /* t has 20 trailing zeros */
- w = (t*t)*(half-t*(thrd-t*qrtr));
- 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 */
- is = ((ix>>1)&0xfffff000)|0x20000000;
- SET_FLOAT_WORD(t_h,is+0x00400000+(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 = 3+s2+r;
- GET_FLOAT_WORD(is,t_h);
- SET_FLOAT_WORD(t_h,is&0xfffff000);
- t_l = r-((t_h-3)-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 = 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);
- }
-
- /* 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 sn*huge*huge; /* overflow */
- else if (j==0x43000000) { /* if z == 128 */
- if(p_l+ovt>z-p_h) return sn*huge*huge; /* overflow */
- }
- else if ((j&0x7fffffff)>0x43160000) /* z <= -150 */
- return sn*tiny*tiny; /* underflow */
- else if (j==0xc3160000){ /* z == -150 */
- if(p_l<=z-p_h) return sn*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&0xffff8000);
- 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 sn*z;
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysign.c b/libm/upstream-freebsd/lib/msun/src/s_copysign.c
deleted file mode 100644
index a5f3870..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_copysign.c
+++ /dev/null
@@ -1,33 +0,0 @@
-/* @(#)s_copysign.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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/*
- * copysign(double x, double y)
- * copysign(x,y) returns a value with the magnitude of x and
- * with the sign bit of y.
- */
-
-#include "math.h"
-#include "math_private.h"
-
-double
-copysign(double x, double y)
-{
- u_int32_t hx,hy;
- GET_HIGH_WORD(hx,x);
- GET_HIGH_WORD(hy,y);
- SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
- return x;
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysignf.c b/libm/upstream-freebsd/lib/msun/src/s_copysignf.c
deleted file mode 100644
index 05ca1e3..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_copysignf.c
+++ /dev/null
@@ -1,36 +0,0 @@
-/* s_copysignf.c -- float version of s_copysign.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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-/*
- * copysignf(float x, float y)
- * copysignf(x,y) returns a value with the magnitude of x and
- * with the sign bit of y.
- */
-
-#include "math.h"
-#include "math_private.h"
-
-float
-copysignf(float x, float y)
-{
- u_int32_t ix,iy;
- GET_FLOAT_WORD(ix,x);
- GET_FLOAT_WORD(iy,y);
- SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
- return x;
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysignl.c b/libm/upstream-freebsd/lib/msun/src/s_copysignl.c
deleted file mode 100644
index 666a2ba..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_copysignl.c
+++ /dev/null
@@ -1,44 +0,0 @@
-/*-
- * SPDX-License-Identifier: BSD-2-Clause
- *
- * Copyright (c) 2004 Stefan Farfeleder
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- *
- * $FreeBSD$
- */
-
-#include <math.h>
-
-#include "fpmath.h"
-
-long double
-copysignl(long double x, long double y)
-{
- union IEEEl2bits ux, uy;
-
- ux.e = x;
- uy.e = y;
- ux.bits.sign = uy.bits.sign;
- return (ux.e);
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cosf.c b/libm/upstream-freebsd/lib/msun/src/s_cosf.c
deleted file mode 100644
index b701fd2..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_cosf.c
+++ /dev/null
@@ -1,87 +0,0 @@
-/* s_cosf.c -- float version of s_cos.c.
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- * Optimized by Bruce D. Evans.
- */
-
-/*
- * ====================================================
- * 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#define INLINE_KERNEL_COSDF
-#define INLINE_KERNEL_SINDF
-#define INLINE_REM_PIO2F
-#include "math_private.h"
-#include "e_rem_pio2f.c"
-#include "k_cosf.c"
-#include "k_sinf.c"
-
-/* Small multiples of pi/2 rounded to double precision. */
-static const double
-c1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
-c2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
-c3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
-c4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
-
-float
-cosf(float x)
-{
- double y;
- int32_t n, hx, ix;
-
- GET_FLOAT_WORD(hx,x);
- ix = hx & 0x7fffffff;
-
- if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
- if(ix<0x39800000) /* |x| < 2**-12 */
- if(((int)x)==0) return 1.0; /* 1 with inexact if x != 0 */
- return __kernel_cosdf(x);
- }
- if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */
- if(ix>0x4016cbe3) /* |x| ~> 3*pi/4 */
- return -__kernel_cosdf(x + (hx > 0 ? -c2pio2 : c2pio2));
- else {
- if(hx>0)
- return __kernel_sindf(c1pio2 - x);
- else
- return __kernel_sindf(x + c1pio2);
- }
- }
- if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */
- if(ix>0x40afeddf) /* |x| ~> 7*pi/4 */
- return __kernel_cosdf(x + (hx > 0 ? -c4pio2 : c4pio2));
- else {
- if(hx>0)
- return __kernel_sindf(x - c3pio2);
- else
- return __kernel_sindf(-c3pio2 - x);
- }
- }
-
- /* cos(Inf or NaN) is NaN */
- else if (ix>=0x7f800000) return x-x;
-
- /* general argument reduction needed */
- else {
- n = __ieee754_rem_pio2f(x,&y);
- switch(n&3) {
- case 0: return __kernel_cosdf(y);
- case 1: return __kernel_sindf(-y);
- case 2: return -__kernel_cosdf(y);
- default:
- return __kernel_sindf(y);
- }
- }
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_exp2.c b/libm/upstream-freebsd/lib/msun/src/s_exp2.c
deleted file mode 100644
index 1dd9673..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_exp2.c
+++ /dev/null
@@ -1,399 +0,0 @@
-/*-
- * SPDX-License-Identifier: BSD-2-Clause
- *
- * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#include "math_private.h"
-
-#define TBLBITS 8
-#define TBLSIZE (1 << TBLBITS)
-
-static const double
- redux = 0x1.8p52 / TBLSIZE,
- P1 = 0x1.62e42fefa39efp-1,
- P2 = 0x1.ebfbdff82c575p-3,
- P3 = 0x1.c6b08d704a0a6p-5,
- P4 = 0x1.3b2ab88f70400p-7,
- P5 = 0x1.5d88003875c74p-10;
-
-static volatile double
- huge = 0x1p1000,
- twom1000 = 0x1p-1000;
-
-static const double tbl[TBLSIZE * 2] = {
-/* exp2(z + eps) eps */
- 0x1.6a09e667f3d5dp-1, 0x1.9880p-44,
- 0x1.6b052fa751744p-1, 0x1.8000p-50,
- 0x1.6c012750bd9fep-1, -0x1.8780p-45,
- 0x1.6cfdcddd476bfp-1, 0x1.ec00p-46,
- 0x1.6dfb23c651a29p-1, -0x1.8000p-50,
- 0x1.6ef9298593ae3p-1, -0x1.c000p-52,
- 0x1.6ff7df9519386p-1, -0x1.fd80p-45,
- 0x1.70f7466f42da3p-1, -0x1.c880p-45,
- 0x1.71f75e8ec5fc3p-1, 0x1.3c00p-46,
- 0x1.72f8286eacf05p-1, -0x1.8300p-44,
- 0x1.73f9a48a58152p-1, -0x1.0c00p-47,
- 0x1.74fbd35d7ccfcp-1, 0x1.f880p-45,
- 0x1.75feb564267f1p-1, 0x1.3e00p-47,
- 0x1.77024b1ab6d48p-1, -0x1.7d00p-45,
- 0x1.780694fde5d38p-1, -0x1.d000p-50,
- 0x1.790b938ac1d00p-1, 0x1.3000p-49,
- 0x1.7a11473eb0178p-1, -0x1.d000p-49,
- 0x1.7b17b0976d060p-1, 0x1.0400p-45,
- 0x1.7c1ed0130c133p-1, 0x1.0000p-53,
- 0x1.7d26a62ff8636p-1, -0x1.6900p-45,
- 0x1.7e2f336cf4e3bp-1, -0x1.2e00p-47,
- 0x1.7f3878491c3e8p-1, -0x1.4580p-45,
- 0x1.80427543e1b4ep-1, 0x1.3000p-44,
- 0x1.814d2add1071ap-1, 0x1.f000p-47,
- 0x1.82589994ccd7ep-1, -0x1.1c00p-45,
- 0x1.8364c1eb942d0p-1, 0x1.9d00p-45,
- 0x1.8471a4623cab5p-1, 0x1.7100p-43,
- 0x1.857f4179f5bbcp-1, 0x1.2600p-45,
- 0x1.868d99b4491afp-1, -0x1.2c40p-44,
- 0x1.879cad931a395p-1, -0x1.3000p-45,
- 0x1.88ac7d98a65b8p-1, -0x1.a800p-45,
- 0x1.89bd0a4785800p-1, -0x1.d000p-49,
- 0x1.8ace5422aa223p-1, 0x1.3280p-44,
- 0x1.8be05bad619fap-1, 0x1.2b40p-43,
- 0x1.8cf3216b54383p-1, -0x1.ed00p-45,
- 0x1.8e06a5e08664cp-1, -0x1.0500p-45,
- 0x1.8f1ae99157807p-1, 0x1.8280p-45,
- 0x1.902fed0282c0ep-1, -0x1.cb00p-46,
- 0x1.9145b0b91ff96p-1, -0x1.5e00p-47,
- 0x1.925c353aa2ff9p-1, 0x1.5400p-48,
- 0x1.93737b0cdc64ap-1, 0x1.7200p-46,
- 0x1.948b82b5f98aep-1, -0x1.9000p-47,
- 0x1.95a44cbc852cbp-1, 0x1.5680p-45,
- 0x1.96bdd9a766f21p-1, -0x1.6d00p-44,
- 0x1.97d829fde4e2ap-1, -0x1.1000p-47,
- 0x1.98f33e47a23a3p-1, 0x1.d000p-45,
- 0x1.9a0f170ca0604p-1, -0x1.8a40p-44,
- 0x1.9b2bb4d53ff89p-1, 0x1.55c0p-44,
- 0x1.9c49182a3f15bp-1, 0x1.6b80p-45,
- 0x1.9d674194bb8c5p-1, -0x1.c000p-49,
- 0x1.9e86319e3238ep-1, 0x1.7d00p-46,
- 0x1.9fa5e8d07f302p-1, 0x1.6400p-46,
- 0x1.a0c667b5de54dp-1, -0x1.5000p-48,
- 0x1.a1e7aed8eb8f6p-1, 0x1.9e00p-47,
- 0x1.a309bec4a2e27p-1, 0x1.ad80p-45,
- 0x1.a42c980460a5dp-1, -0x1.af00p-46,
- 0x1.a5503b23e259bp-1, 0x1.b600p-47,
- 0x1.a674a8af46213p-1, 0x1.8880p-44,
- 0x1.a799e1330b3a7p-1, 0x1.1200p-46,
- 0x1.a8bfe53c12e8dp-1, 0x1.6c00p-47,
- 0x1.a9e6b5579fcd2p-1, -0x1.9b80p-45,
- 0x1.ab0e521356fb8p-1, 0x1.b700p-45,
- 0x1.ac36bbfd3f381p-1, 0x1.9000p-50,
- 0x1.ad5ff3a3c2780p-1, 0x1.4000p-49,
- 0x1.ae89f995ad2a3p-1, -0x1.c900p-45,
- 0x1.afb4ce622f367p-1, 0x1.6500p-46,
- 0x1.b0e07298db790p-1, 0x1.fd40p-45,
- 0x1.b20ce6c9a89a9p-1, 0x1.2700p-46,
- 0x1.b33a2b84f1a4bp-1, 0x1.d470p-43,
- 0x1.b468415b747e7p-1, -0x1.8380p-44,
- 0x1.b59728de5593ap-1, 0x1.8000p-54,
- 0x1.b6c6e29f1c56ap-1, 0x1.ad00p-47,
- 0x1.b7f76f2fb5e50p-1, 0x1.e800p-50,
- 0x1.b928cf22749b2p-1, -0x1.4c00p-47,
- 0x1.ba5b030a10603p-1, -0x1.d700p-47,
- 0x1.bb8e0b79a6f66p-1, 0x1.d900p-47,
- 0x1.bcc1e904bc1ffp-1, 0x1.2a00p-47,
- 0x1.bdf69c3f3a16fp-1, -0x1.f780p-46,
- 0x1.bf2c25bd71db8p-1, -0x1.0a00p-46,
- 0x1.c06286141b2e9p-1, -0x1.1400p-46,
- 0x1.c199bdd8552e0p-1, 0x1.be00p-47,
- 0x1.c2d1cd9fa64eep-1, -0x1.9400p-47,
- 0x1.c40ab5fffd02fp-1, -0x1.ed00p-47,
- 0x1.c544778fafd15p-1, 0x1.9660p-44,
- 0x1.c67f12e57d0cbp-1, -0x1.a100p-46,
- 0x1.c7ba88988c1b6p-1, -0x1.8458p-42,
- 0x1.c8f6d9406e733p-1, -0x1.a480p-46,
- 0x1.ca3405751c4dfp-1, 0x1.b000p-51,
- 0x1.cb720dcef9094p-1, 0x1.1400p-47,
- 0x1.ccb0f2e6d1689p-1, 0x1.0200p-48,
- 0x1.cdf0b555dc412p-1, 0x1.3600p-48,
- 0x1.cf3155b5bab3bp-1, -0x1.6900p-47,
- 0x1.d072d4a0789bcp-1, 0x1.9a00p-47,
- 0x1.d1b532b08c8fap-1, -0x1.5e00p-46,
- 0x1.d2f87080d8a85p-1, 0x1.d280p-46,
- 0x1.d43c8eacaa203p-1, 0x1.1a00p-47,
- 0x1.d5818dcfba491p-1, 0x1.f000p-50,
- 0x1.d6c76e862e6a1p-1, -0x1.3a00p-47,
- 0x1.d80e316c9834ep-1, -0x1.cd80p-47,
- 0x1.d955d71ff6090p-1, 0x1.4c00p-48,
- 0x1.da9e603db32aep-1, 0x1.f900p-48,
- 0x1.dbe7cd63a8325p-1, 0x1.9800p-49,
- 0x1.dd321f301b445p-1, -0x1.5200p-48,
- 0x1.de7d5641c05bfp-1, -0x1.d700p-46,
- 0x1.dfc97337b9aecp-1, -0x1.6140p-46,
- 0x1.e11676b197d5ep-1, 0x1.b480p-47,
- 0x1.e264614f5a3e7p-1, 0x1.0ce0p-43,
- 0x1.e3b333b16ee5cp-1, 0x1.c680p-47,
- 0x1.e502ee78b3fb4p-1, -0x1.9300p-47,
- 0x1.e653924676d68p-1, -0x1.5000p-49,
- 0x1.e7a51fbc74c44p-1, -0x1.7f80p-47,
- 0x1.e8f7977cdb726p-1, -0x1.3700p-48,
- 0x1.ea4afa2a490e8p-1, 0x1.5d00p-49,
- 0x1.eb9f4867ccae4p-1, 0x1.61a0p-46,
- 0x1.ecf482d8e680dp-1, 0x1.5500p-48,
- 0x1.ee4aaa2188514p-1, 0x1.6400p-51,
- 0x1.efa1bee615a13p-1, -0x1.e800p-49,
- 0x1.f0f9c1cb64106p-1, -0x1.a880p-48,
- 0x1.f252b376bb963p-1, -0x1.c900p-45,
- 0x1.f3ac948dd7275p-1, 0x1.a000p-53,
- 0x1.f50765b6e4524p-1, -0x1.4f00p-48,
- 0x1.f6632798844fdp-1, 0x1.a800p-51,
- 0x1.f7bfdad9cbe38p-1, 0x1.abc0p-48,
- 0x1.f91d802243c82p-1, -0x1.4600p-50,
- 0x1.fa7c1819e908ep-1, -0x1.b0c0p-47,
- 0x1.fbdba3692d511p-1, -0x1.0e00p-51,
- 0x1.fd3c22b8f7194p-1, -0x1.0de8p-46,
- 0x1.fe9d96b2a23eep-1, 0x1.e430p-49,
- 0x1.0000000000000p+0, 0x0.0000p+0,
- 0x1.00b1afa5abcbep+0, -0x1.3400p-52,
- 0x1.0163da9fb3303p+0, -0x1.2170p-46,
- 0x1.02168143b0282p+0, 0x1.a400p-52,
- 0x1.02c9a3e77806cp+0, 0x1.f980p-49,
- 0x1.037d42e11bbcap+0, -0x1.7400p-51,
- 0x1.04315e86e7f89p+0, 0x1.8300p-50,
- 0x1.04e5f72f65467p+0, -0x1.a3f0p-46,
- 0x1.059b0d315855ap+0, -0x1.2840p-47,
- 0x1.0650a0e3c1f95p+0, 0x1.1600p-48,
- 0x1.0706b29ddf71ap+0, 0x1.5240p-46,
- 0x1.07bd42b72a82dp+0, -0x1.9a00p-49,
- 0x1.0874518759bd0p+0, 0x1.6400p-49,
- 0x1.092bdf66607c8p+0, -0x1.0780p-47,
- 0x1.09e3ecac6f383p+0, -0x1.8000p-54,
- 0x1.0a9c79b1f3930p+0, 0x1.fa00p-48,
- 0x1.0b5586cf988fcp+0, -0x1.ac80p-48,
- 0x1.0c0f145e46c8ap+0, 0x1.9c00p-50,
- 0x1.0cc922b724816p+0, 0x1.5200p-47,
- 0x1.0d83b23395dd8p+0, -0x1.ad00p-48,
- 0x1.0e3ec32d3d1f3p+0, 0x1.bac0p-46,
- 0x1.0efa55fdfa9a6p+0, -0x1.4e80p-47,
- 0x1.0fb66affed2f0p+0, -0x1.d300p-47,
- 0x1.1073028d7234bp+0, 0x1.1500p-48,
- 0x1.11301d0125b5bp+0, 0x1.c000p-49,
- 0x1.11edbab5e2af9p+0, 0x1.6bc0p-46,
- 0x1.12abdc06c31d5p+0, 0x1.8400p-49,
- 0x1.136a814f2047dp+0, -0x1.ed00p-47,
- 0x1.1429aaea92de9p+0, 0x1.8e00p-49,
- 0x1.14e95934f3138p+0, 0x1.b400p-49,
- 0x1.15a98c8a58e71p+0, 0x1.5300p-47,
- 0x1.166a45471c3dfp+0, 0x1.3380p-47,
- 0x1.172b83c7d5211p+0, 0x1.8d40p-45,
- 0x1.17ed48695bb9fp+0, -0x1.5d00p-47,
- 0x1.18af9388c8d93p+0, -0x1.c880p-46,
- 0x1.1972658375d66p+0, 0x1.1f00p-46,
- 0x1.1a35beb6fcba7p+0, 0x1.0480p-46,
- 0x1.1af99f81387e3p+0, -0x1.7390p-43,
- 0x1.1bbe084045d54p+0, 0x1.4e40p-45,
- 0x1.1c82f95281c43p+0, -0x1.a200p-47,
- 0x1.1d4873168b9b2p+0, 0x1.3800p-49,
- 0x1.1e0e75eb44031p+0, 0x1.ac00p-49,
- 0x1.1ed5022fcd938p+0, 0x1.1900p-47,
- 0x1.1f9c18438cdf7p+0, -0x1.b780p-46,
- 0x1.2063b88628d8fp+0, 0x1.d940p-45,
- 0x1.212be3578a81ep+0, 0x1.8000p-50,
- 0x1.21f49917ddd41p+0, 0x1.b340p-45,
- 0x1.22bdda2791323p+0, 0x1.9f80p-46,
- 0x1.2387a6e7561e7p+0, -0x1.9c80p-46,
- 0x1.2451ffb821427p+0, 0x1.2300p-47,
- 0x1.251ce4fb2a602p+0, -0x1.3480p-46,
- 0x1.25e85711eceb0p+0, 0x1.2700p-46,
- 0x1.26b4565e27d16p+0, 0x1.1d00p-46,
- 0x1.2780e341de00fp+0, 0x1.1ee0p-44,
- 0x1.284dfe1f5633ep+0, -0x1.4c00p-46,
- 0x1.291ba7591bb30p+0, -0x1.3d80p-46,
- 0x1.29e9df51fdf09p+0, 0x1.8b00p-47,
- 0x1.2ab8a66d10e9bp+0, -0x1.27c0p-45,
- 0x1.2b87fd0dada3ap+0, 0x1.a340p-45,
- 0x1.2c57e39771af9p+0, -0x1.0800p-46,
- 0x1.2d285a6e402d9p+0, -0x1.ed00p-47,
- 0x1.2df961f641579p+0, -0x1.4200p-48,
- 0x1.2ecafa93e2ecfp+0, -0x1.4980p-45,
- 0x1.2f9d24abd8822p+0, -0x1.6300p-46,
- 0x1.306fe0a31b625p+0, -0x1.2360p-44,
- 0x1.31432edeea50bp+0, -0x1.0df8p-40,
- 0x1.32170fc4cd7b8p+0, -0x1.2480p-45,
- 0x1.32eb83ba8e9a2p+0, -0x1.5980p-45,
- 0x1.33c08b2641766p+0, 0x1.ed00p-46,
- 0x1.3496266e3fa27p+0, -0x1.c000p-50,
- 0x1.356c55f929f0fp+0, -0x1.0d80p-44,
- 0x1.36431a2de88b9p+0, 0x1.2c80p-45,
- 0x1.371a7373aaa39p+0, 0x1.0600p-45,
- 0x1.37f26231e74fep+0, -0x1.6600p-46,
- 0x1.38cae6d05d838p+0, -0x1.ae00p-47,
- 0x1.39a401b713ec3p+0, -0x1.4720p-43,
- 0x1.3a7db34e5a020p+0, 0x1.8200p-47,
- 0x1.3b57fbfec6e95p+0, 0x1.e800p-44,
- 0x1.3c32dc313a8f2p+0, 0x1.f800p-49,
- 0x1.3d0e544ede122p+0, -0x1.7a00p-46,
- 0x1.3dea64c1234bbp+0, 0x1.6300p-45,
- 0x1.3ec70df1c4eccp+0, -0x1.8a60p-43,
- 0x1.3fa4504ac7e8cp+0, -0x1.cdc0p-44,
- 0x1.40822c367a0bbp+0, 0x1.5b80p-45,
- 0x1.4160a21f72e95p+0, 0x1.ec00p-46,
- 0x1.423fb27094646p+0, -0x1.3600p-46,
- 0x1.431f5d950a920p+0, 0x1.3980p-45,
- 0x1.43ffa3f84b9ebp+0, 0x1.a000p-48,
- 0x1.44e0860618919p+0, -0x1.6c00p-48,
- 0x1.45c2042a7d201p+0, -0x1.bc00p-47,
- 0x1.46a41ed1d0016p+0, -0x1.2800p-46,
- 0x1.4786d668b3326p+0, 0x1.0e00p-44,
- 0x1.486a2b5c13c00p+0, -0x1.d400p-45,
- 0x1.494e1e192af04p+0, 0x1.c200p-47,
- 0x1.4a32af0d7d372p+0, -0x1.e500p-46,
- 0x1.4b17dea6db801p+0, 0x1.7800p-47,
- 0x1.4bfdad53629e1p+0, -0x1.3800p-46,
- 0x1.4ce41b817c132p+0, 0x1.0800p-47,
- 0x1.4dcb299fddddbp+0, 0x1.c700p-45,
- 0x1.4eb2d81d8ab96p+0, -0x1.ce00p-46,
- 0x1.4f9b2769d2d02p+0, 0x1.9200p-46,
- 0x1.508417f4531c1p+0, -0x1.8c00p-47,
- 0x1.516daa2cf662ap+0, -0x1.a000p-48,
- 0x1.5257de83f51eap+0, 0x1.a080p-43,
- 0x1.5342b569d4edap+0, -0x1.6d80p-45,
- 0x1.542e2f4f6ac1ap+0, -0x1.2440p-44,
- 0x1.551a4ca5d94dbp+0, 0x1.83c0p-43,
- 0x1.56070dde9116bp+0, 0x1.4b00p-45,
- 0x1.56f4736b529dep+0, 0x1.15a0p-43,
- 0x1.57e27dbe2c40ep+0, -0x1.9e00p-45,
- 0x1.58d12d497c76fp+0, -0x1.3080p-45,
- 0x1.59c0827ff0b4cp+0, 0x1.dec0p-43,
- 0x1.5ab07dd485427p+0, -0x1.4000p-51,
- 0x1.5ba11fba87af4p+0, 0x1.0080p-44,
- 0x1.5c9268a59460bp+0, -0x1.6c80p-45,
- 0x1.5d84590998e3fp+0, 0x1.69a0p-43,
- 0x1.5e76f15ad20e1p+0, -0x1.b400p-46,
- 0x1.5f6a320dcebcap+0, 0x1.7700p-46,
- 0x1.605e1b976dcb8p+0, 0x1.6f80p-45,
- 0x1.6152ae6cdf715p+0, 0x1.1000p-47,
- 0x1.6247eb03a5531p+0, -0x1.5d00p-46,
- 0x1.633dd1d1929b5p+0, -0x1.2d00p-46,
- 0x1.6434634ccc313p+0, -0x1.a800p-49,
- 0x1.652b9febc8efap+0, -0x1.8600p-45,
- 0x1.6623882553397p+0, 0x1.1fe0p-40,
- 0x1.671c1c708328ep+0, -0x1.7200p-44,
- 0x1.68155d44ca97ep+0, 0x1.6800p-49,
- 0x1.690f4b19e9471p+0, -0x1.9780p-45,
-};
-
-/*
- * exp2(x): compute the base 2 exponential of x
- *
- * Accuracy: Peak error < 0.503 ulp for normalized results.
- *
- * Method: (accurate tables)
- *
- * Reduce x:
- * x = 2**k + y, for integer k and |y| <= 1/2.
- * Thus we have exp2(x) = 2**k * exp2(y).
- *
- * Reduce y:
- * y = i/TBLSIZE + z - eps[i] for integer i near y * TBLSIZE.
- * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z - eps[i]),
- * with |z - eps[i]| <= 2**-9 + 2**-39 for the table used.
- *
- * We compute exp2(i/TBLSIZE) via table lookup and exp2(z - eps[i]) via
- * a degree-5 minimax polynomial with maximum error under 1.3 * 2**-61.
- * The values in exp2t[] and eps[] are chosen such that
- * exp2t[i] = exp2(i/TBLSIZE + eps[i]), and eps[i] is a small offset such
- * that exp2t[i] is accurate to 2**-64.
- *
- * Note that the range of i is +-TBLSIZE/2, so we actually index the tables
- * by i0 = i + TBLSIZE/2. For cache efficiency, exp2t[] and eps[] are
- * virtual tables, interleaved in the real table tbl[].
- *
- * This method is due to Gal, with many details due to Gal and Bachelis:
- *
- * Gal, S. and Bachelis, B. An Accurate Elementary Mathematical Library
- * for the IEEE Floating Point Standard. TOMS 17(1), 26-46 (1991).
- */
-double
-exp2(double x)
-{
- double r, t, twopk, twopkp1000, z;
- uint32_t hx, ix, lx, i0;
- int k;
-
- /* Filter out exceptional cases. */
- GET_HIGH_WORD(hx,x);
- ix = hx & 0x7fffffff; /* high word of |x| */
- if(ix >= 0x40900000) { /* |x| >= 1024 */
- if(ix >= 0x7ff00000) {
- GET_LOW_WORD(lx,x);
- if(((ix & 0xfffff) | lx) != 0 || (hx & 0x80000000) == 0)
- return (x + x); /* x is NaN or +Inf */
- else
- return (0.0); /* x is -Inf */
- }
- if(x >= 0x1.0p10)
- return (huge * huge); /* overflow */
- if(x <= -0x1.0ccp10)
- return (twom1000 * twom1000); /* underflow */
- } else if (ix < 0x3c900000) { /* |x| < 0x1p-54 */
- return (1.0 + x);
- }
-
- /* Reduce x, computing z, i0, and k. */
- STRICT_ASSIGN(double, t, x + redux);
- GET_LOW_WORD(i0, t);
- i0 += TBLSIZE / 2;
- k = (i0 >> TBLBITS) << 20;
- i0 = (i0 & (TBLSIZE - 1)) << 1;
- t -= redux;
- z = x - t;
-
- /* Compute r = exp2(y) = exp2t[i0] * p(z - eps[i]). */
- t = tbl[i0]; /* exp2t[i0] */
- z -= tbl[i0 + 1]; /* eps[i0] */
- if (k >= -(1021 << 20))
- INSERT_WORDS(twopk, 0x3ff00000 + k, 0);
- else
- INSERT_WORDS(twopkp1000, 0x3ff00000 + k + (1000 << 20), 0);
- r = t + t * z * (P1 + z * (P2 + z * (P3 + z * (P4 + z * P5))));
-
- /* Scale by 2**(k>>20). */
- if(k >= -(1021 << 20)) {
- if (k == 1024 << 20)
- return (r * 2.0 * 0x1p1023);
- return (r * twopk);
- } else {
- return (r * twopkp1000 * twom1000);
- }
-}
-
-#if (LDBL_MANT_DIG == 53)
-__weak_reference(exp2, exp2l);
-#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_exp2f.c b/libm/upstream-freebsd/lib/msun/src/s_exp2f.c
deleted file mode 100644
index c5b4c8e..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_exp2f.c
+++ /dev/null
@@ -1,139 +0,0 @@
-/*-
- * SPDX-License-Identifier: BSD-2-Clause
- *
- * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#include "math_private.h"
-
-#define TBLBITS 4
-#define TBLSIZE (1 << TBLBITS)
-
-static const float
- redux = 0x1.8p23f / TBLSIZE,
- P1 = 0x1.62e430p-1f,
- P2 = 0x1.ebfbe0p-3f,
- P3 = 0x1.c6b348p-5f,
- P4 = 0x1.3b2c9cp-7f;
-
-static volatile float
- huge = 0x1p100f,
- twom100 = 0x1p-100f;
-
-static const double exp2ft[TBLSIZE] = {
- 0x1.6a09e667f3bcdp-1,
- 0x1.7a11473eb0187p-1,
- 0x1.8ace5422aa0dbp-1,
- 0x1.9c49182a3f090p-1,
- 0x1.ae89f995ad3adp-1,
- 0x1.c199bdd85529cp-1,
- 0x1.d5818dcfba487p-1,
- 0x1.ea4afa2a490dap-1,
- 0x1.0000000000000p+0,
- 0x1.0b5586cf9890fp+0,
- 0x1.172b83c7d517bp+0,
- 0x1.2387a6e756238p+0,
- 0x1.306fe0a31b715p+0,
- 0x1.3dea64c123422p+0,
- 0x1.4bfdad5362a27p+0,
- 0x1.5ab07dd485429p+0,
-};
-
-/*
- * exp2f(x): compute the base 2 exponential of x
- *
- * Accuracy: Peak error < 0.501 ulp; location of peak: -0.030110927.
- *
- * Method: (equally-spaced tables)
- *
- * Reduce x:
- * x = 2**k + y, for integer k and |y| <= 1/2.
- * Thus we have exp2f(x) = 2**k * exp2(y).
- *
- * Reduce y:
- * y = i/TBLSIZE + z for integer i near y * TBLSIZE.
- * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z),
- * with |z| <= 2**-(TBLSIZE+1).
- *
- * We compute exp2(i/TBLSIZE) via table lookup and exp2(z) via a
- * degree-4 minimax polynomial with maximum error under 1.4 * 2**-33.
- * Using double precision for everything except the reduction makes
- * roundoff error insignificant and simplifies the scaling step.
- *
- * This method is due to Tang, but I do not use his suggested parameters:
- *
- * Tang, P. Table-driven Implementation of the Exponential Function
- * in IEEE Floating-Point Arithmetic. TOMS 15(2), 144-157 (1989).
- */
-float
-exp2f(float x)
-{
- double tv, twopk, u, z;
- float t;
- uint32_t hx, ix, i0;
- int32_t k;
-
- /* Filter out exceptional cases. */
- GET_FLOAT_WORD(hx, x);
- ix = hx & 0x7fffffff; /* high word of |x| */
- if(ix >= 0x43000000) { /* |x| >= 128 */
- if(ix >= 0x7f800000) {
- if ((ix & 0x7fffff) != 0 || (hx & 0x80000000) == 0)
- return (x + x); /* x is NaN or +Inf */
- else
- return (0.0); /* x is -Inf */
- }
- if(x >= 0x1.0p7f)
- return (huge * huge); /* overflow */
- if(x <= -0x1.2cp7f)
- return (twom100 * twom100); /* underflow */
- } else if (ix <= 0x33000000) { /* |x| <= 0x1p-25 */
- return (1.0f + x);
- }
-
- /* Reduce x, computing z, i0, and k. */
- STRICT_ASSIGN(float, t, x + redux);
- GET_FLOAT_WORD(i0, t);
- i0 += TBLSIZE / 2;
- k = (i0 >> TBLBITS) << 20;
- i0 &= TBLSIZE - 1;
- t -= redux;
- z = x - t;
- INSERT_WORDS(twopk, 0x3ff00000 + k, 0);
-
- /* Compute r = exp2(y) = exp2ft[i0] * p(z). */
- tv = exp2ft[i0];
- u = tv * z;
- tv = tv + u * (P1 + z * P2) + u * (z * z) * (P3 + z * P4);
-
- /* Scale by 2**(k>>20). */
- return (tv * twopk);
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fabsl.c b/libm/upstream-freebsd/lib/msun/src/s_fabsl.c
deleted file mode 100644
index 5076d8a..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_fabsl.c
+++ /dev/null
@@ -1,45 +0,0 @@
-/*-
- * SPDX-License-Identifier: BSD-3-Clause
- *
- * Copyright (c) 2003 Dag-Erling Smørgrav
- * 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
- * in this position and unchanged.
- * 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. 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.
- *
- * $FreeBSD$
- */
-
-#include <math.h>
-
-#include "fpmath.h"
-
-long double
-fabsl(long double x)
-{
- union IEEEl2bits u;
-
- u.e = x;
- u.bits.sign = 0;
- return (u.e);
-}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_sincosf.c b/libm/upstream-freebsd/lib/msun/src/s_sincosf.c
deleted file mode 100644
index 755ff05..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_sincosf.c
+++ /dev/null
@@ -1,126 +0,0 @@
-/*-
- * ====================================================
- * 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.
- * ====================================================
- */
-
-/* s_sincosf.c -- float version of s_sincos.c.
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- * Optimized by Bruce D. Evans.
- * Merged s_sinf.c and s_cosf.c by Steven G. Kargl.
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#define INLINE_REM_PIO2F
-#include "math_private.h"
-#include "e_rem_pio2f.c"
-#include "k_sincosf.h"
-
-/* Small multiples of pi/2 rounded to double precision. */
-static const double
-p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
-p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
-p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
-p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
-
-void
-sincosf(float x, float *sn, float *cs)
-{
- float c, s;
- double y;
- int32_t n, hx, ix;
-
- GET_FLOAT_WORD(hx, x);
- ix = hx & 0x7fffffff;
-
- if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
- if (ix < 0x39800000) { /* |x| < 2**-12 */
- if ((int)x == 0) {
- *sn = x; /* x with inexact if x != 0 */
- *cs = 1;
- return;
- }
- }
- __kernel_sincosdf(x, sn, cs);
- return;
- }
-
- if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */
- if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */
- if (hx > 0) {
- __kernel_sincosdf(x - p1pio2, cs, sn);
- *cs = -*cs;
- } else {
- __kernel_sincosdf(x + p1pio2, cs, sn);
- *sn = -*sn;
- }
- } else {
- if (hx > 0)
- __kernel_sincosdf(x - p2pio2, sn, cs);
- else
- __kernel_sincosdf(x + p2pio2, sn, cs);
- *sn = -*sn;
- *cs = -*cs;
- }
- return;
- }
-
- if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */
- if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */
- if (hx > 0) {
- __kernel_sincosdf(x - p3pio2, cs, sn);
- *sn = -*sn;
- } else {
- __kernel_sincosdf(x + p3pio2, cs, sn);
- *cs = -*cs;
- }
- } else {
- if (hx > 0)
- __kernel_sincosdf(x - p4pio2, sn, cs);
- else
- __kernel_sincosdf(x + p4pio2, sn, cs);
- }
- return;
- }
-
- /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */
- if (ix >= 0x7f800000) {
- *sn = x - x;
- *cs = x - x;
- return;
- }
-
- /* Argument reduction. */
- n = __ieee754_rem_pio2f(x, &y);
- __kernel_sincosdf(y, &s, &c);
-
- switch(n & 3) {
- case 0:
- *sn = s;
- *cs = c;
- break;
- case 1:
- *sn = c;
- *cs = -s;
- break;
- case 2:
- *sn = -s;
- *cs = -c;
- break;
- default:
- *sn = -c;
- *cs = s;
- }
-}
-
-
diff --git a/libm/upstream-freebsd/lib/msun/src/s_sinf.c b/libm/upstream-freebsd/lib/msun/src/s_sinf.c
deleted file mode 100644
index 41b5dc1..0000000
--- a/libm/upstream-freebsd/lib/msun/src/s_sinf.c
+++ /dev/null
@@ -1,85 +0,0 @@
-/* s_sinf.c -- float version of s_sin.c.
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- * Optimized by Bruce D. Evans.
- */
-
-/*
- * ====================================================
- * 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.
- * ====================================================
- */
-
-#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
-
-#include <float.h>
-
-#include "math.h"
-#define INLINE_KERNEL_COSDF
-#define INLINE_KERNEL_SINDF
-#define INLINE_REM_PIO2F
-#include "math_private.h"
-#include "e_rem_pio2f.c"
-#include "k_cosf.c"
-#include "k_sinf.c"
-
-/* Small multiples of pi/2 rounded to double precision. */
-static const double
-s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
-s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
-s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
-s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
-
-float
-sinf(float x)
-{
- double y;
- int32_t n, hx, ix;
-
- GET_FLOAT_WORD(hx,x);
- ix = hx & 0x7fffffff;
-
- if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
- if(ix<0x39800000) /* |x| < 2**-12 */
- if(((int)x)==0) return x; /* x with inexact if x != 0 */
- return __kernel_sindf(x);
- }
- if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */
- if(ix<=0x4016cbe3) { /* |x| ~<= 3pi/4 */
- if(hx>0)
- return __kernel_cosdf(x - s1pio2);
- else
- return -__kernel_cosdf(x + s1pio2);
- } else
- return __kernel_sindf((hx > 0 ? s2pio2 : -s2pio2) - x);
- }
- if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */
- if(ix<=0x40afeddf) { /* |x| ~<= 7*pi/4 */
- if(hx>0)
- return -__kernel_cosdf(x - s3pio2);
- else
- return __kernel_cosdf(x + s3pio2);
- } else
- return __kernel_sindf(x + (hx > 0 ? -s4pio2 : s4pio2));
- }
-
- /* sin(Inf or NaN) is NaN */
- else if (ix>=0x7f800000) return x-x;
-
- /* general argument reduction needed */
- else {
- n = __ieee754_rem_pio2f(x,&y);
- switch(n&3) {
- case 0: return __kernel_sindf(y);
- case 1: return __kernel_cosdf(y);
- case 2: return __kernel_sindf(-y);
- default:
- return -__kernel_cosdf(y);
- }
- }
-}