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authorCorinna Vinschen <vinschen@redhat.com>2007-12-11 13:04:16 +0000
committerCorinna Vinschen <vinschen@redhat.com>2007-12-11 13:04:16 +0000
commitdee785d558d16b9602877d6d4c0cf279eab1a8e4 (patch)
treede8370358add890689f30984c5b62be364910f49
parent41247c19d2d11aec838b4e68b31c32473237a709 (diff)
downloadgdb-dee785d558d16b9602877d6d4c0cf279eab1a8e4.tar.gz
* libm/math/w_atan2.c: Fix atan2 to be consistent with glibc
(atan2(+0,-0), atan2(-0,-0) and atan(-0,+0)) * libm/math/wf_atan2.c: Ditto. * libm/math/e_pow.c: Fix to be consistent with glibc with regards to treatment of NaN and +-inf arguments. * libm/math/ef_pow.c: Ditto. * libm/math/w_pow.c: Ditto. * libm/math/wf_pow.c: Ditto. * libm/math/w_acos.c: Fix domain errors to return NaN. * libm/math/w_asin.c: Ditto. * libm/math/wf_acos.c: Ditto. * libm/math/wf_asin.c: Ditto. * libm/math/w_log.c: Fix to return NaN for negative number inputs. * libm/math/wf_log.c: Ditto. * libm/math/wf_log10.c: Ditto. * libm/math/w_log10.c: Ditto.
-rw-r--r--newlib/ChangeLog22
-rw-r--r--newlib/libm/math/e_pow.c314
-rw-r--r--newlib/libm/math/ef_pow.c254
-rw-r--r--newlib/libm/math/w_acos.c118
-rw-r--r--newlib/libm/math/w_asin.c121
-rw-r--r--newlib/libm/math/w_atan2.c90
-rw-r--r--newlib/libm/math/w_log.c116
-rw-r--r--newlib/libm/math/w_log10.c116
-rw-r--r--newlib/libm/math/w_pow.c231
-rw-r--r--newlib/libm/math/wf_acos.c69
-rw-r--r--newlib/libm/math/wf_asin.c71
-rw-r--r--newlib/libm/math/wf_atan2.c46
-rw-r--r--newlib/libm/math/wf_log.c86
-rw-r--r--newlib/libm/math/wf_log10.c89
-rw-r--r--newlib/libm/math/wf_pow.c179
15 files changed, 1922 insertions, 0 deletions
diff --git a/newlib/ChangeLog b/newlib/ChangeLog
index 64e0a5a3f11..52a28828abe 100644
--- a/newlib/ChangeLog
+++ b/newlib/ChangeLog
@@ -138,6 +138,12 @@
* libc/include/argz.h: Guard against multiple inclusion. Guard for
use with C++.
+2007-05-17 Cary R. <cygcary <at> yahoo.com>
+
+ * libm/math/w_atan2.c: Fix atan2 to be consistent with glibc
+ (atan2(+0,-0), atan2(-0,-0) and atan(-0,+0))
+ * libm/math/wf_atan2.c: Ditto.
+
2007-05-17 Charles Wilson <cygwin@...>
* stdio/tmpfile.c: Include <sys/stat.h>.
@@ -182,6 +188,22 @@
* libc/stdio/makebuf.c (__smakebuf_r): Likewise.
* libc/stdio/mktemp.c (_gettemp): Likewise.
+2007-05-01 Cary R. <cygcary <at> yahoo.com>
+
+ * libm/math/e_pow.c: Fix to be consistent with glibc with regards to
+ treatment of NaN and +-inf arguments.
+ * libm/math/ef_pow.c: Ditto.
+ * libm/math/w_pow.c: Ditto.
+ * libm/math/wf_pow.c: Ditto.
+ * libm/math/w_acos.c: Fix domain errors to return NaN.
+ * libm/math/w_asin.c: Ditto.
+ * libm/math/wf_acos.c: Ditto.
+ * libm/math/wf_asin.c: Ditto.
+ * libm/math/w_log.c: Fix to return NaN for negative number inputs.
+ * libm/math/wf_log.c: Ditto.
+ * libm/math/wf_log10.c: Ditto.
+ * libm/math/w_log10.c: Ditto.
+
2007-04-25 Eric Blake <ebb9@byu.net>
* libc/stdio/vfprintf.c (get_arg): Support %1$lc. Simplify types
diff --git a/newlib/libm/math/e_pow.c b/newlib/libm/math/e_pow.c
new file mode 100644
index 00000000000..aac0b421147
--- /dev/null
+++ b/newlib/libm/math/e_pow.c
@@ -0,0 +1,314 @@
+
+/* @(#)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.
+ * ====================================================
+ */
+
+/* __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 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
+ * 3a. (anything) ** NAN is NAN except
+ * 3b. +1 ** NAN is 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 "fdlibm.h"
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+ __uint32_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|y==NaN return NaN unless x==1 then return 1 */
+ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+ iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+ if(((ix-0x3ff00000)|lx)==0) return one;
+ else return nan("");
+
+ /* 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 one; /* +-1**+-inf = 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 __ieee754_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 */
+ /* REDHAT LOCAL: This used to be
+ if((((hx>>31)+1)|yisint)==0) return (x-x)/(x-x);
+ but ANSI C says a right shift of a signed negative quantity is
+ implementation defined. */
+ if(((((__uint32_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 = ax-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(((((__uint32_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,(int)n); /* subnormal output */
+ else SET_HIGH_WORD(z,j);
+ return s*z;
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/ef_pow.c b/newlib/libm/math/ef_pow.c
new file mode 100644
index 00000000000..6804ce45ae2
--- /dev/null
+++ b/newlib/libm/math/ef_pow.c
@@ -0,0 +1,254 @@
+/* ef_pow.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 "fdlibm.h"
+
+#ifdef __v810__
+#define const
+#endif
+
+#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(FLT_UWORD_IS_ZERO(iy)) return one;
+
+ /* x|y==NaN return NaN unless x==1 then return 1 */
+ if(FLT_UWORD_IS_NAN(ix) ||
+ FLT_UWORD_IS_NAN(iy))
+ if(ix==0x3f800000) return one;
+ else return nanf("");
+
+ /* 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 (FLT_UWORD_IS_INFINITE(iy)) { /* y is +-inf */
+ if (ix==0x3f800000)
+ return one; /* +-1**+-inf = 1 */
+ 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 __ieee754_sqrtf(x);
+ }
+
+ ax = fabsf(x);
+ /* special value of x */
+ if(FLT_UWORD_IS_INFINITE(ix)||FLT_UWORD_IS_ZERO(ix)||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(((((__uint32_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 = ax-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(FLT_UWORD_IS_SUBNORMAL(ix))
+ {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(((((__uint32_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);
+ i = j&0x7fffffff;
+ if (j>0) {
+ if (i>FLT_UWORD_EXP_MAX)
+ return s*huge*huge; /* overflow */
+ else if (i==FLT_UWORD_EXP_MAX)
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ } else {
+ if (i>FLT_UWORD_EXP_MIN)
+ return s*tiny*tiny; /* underflow */
+ else if (i==FLT_UWORD_EXP_MIN)
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ 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,(int)n); /* subnormal output */
+ else SET_FLOAT_WORD(z,j);
+ return s*z;
+}
diff --git a/newlib/libm/math/w_acos.c b/newlib/libm/math/w_acos.c
new file mode 100644
index 00000000000..fdf2eb07e60
--- /dev/null
+++ b/newlib/libm/math/w_acos.c
@@ -0,0 +1,118 @@
+
+/* @(#)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.
+ * ====================================================
+ */
+
+/*
+FUNCTION
+ <<acos>>, <<acosf>>---arc cosine
+
+INDEX
+ acos
+INDEX
+ acosf
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double acos(double <[x]>);
+ float acosf(float <[x]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double acos(<[x]>)
+ double <[x]>;
+
+ float acosf(<[x]>)
+ float <[x]>;
+
+
+
+DESCRIPTION
+
+ <<acos>> computes the inverse cosine (arc cosine) of the input value.
+ Arguments to <<acos>> must be in the range @minus{}1 to 1.
+
+ <<acosf>> is identical to <<acos>>, except that it performs
+ its calculations on <<floats>>.
+
+RETURNS
+ @ifnottex
+ <<acos>> and <<acosf>> return values in radians, in the range of 0 to pi.
+ @end ifnottex
+ @tex
+ <<acos>> and <<acosf>> return values in radians, in the range of <<0>> to $\pi$.
+ @end tex
+
+ If <[x]> is not between @minus{}1 and 1, the returned value is NaN
+ (not a number) the global variable <<errno>> is set to <<EDOM>>, and a
+ <<DOMAIN error>> message is sent as standard error output.
+
+ You can modify error handling for these functions using <<matherr>>.
+
+
+QUICKREF ANSI SVID POSIX RENTRANT
+ acos y,y,y,m
+ acosf n,n,n,m
+
+MATHREF
+ acos, [-1,1], acos(arg),,,
+ acos, NAN, arg,DOMAIN,EDOM
+
+MATHREF
+ acosf, [-1,1], acosf(arg),,,
+ acosf, NAN, argf,DOMAIN,EDOM
+
+*/
+
+/*
+ * wrap_acos(x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+ struct exception exc;
+ z = __ieee754_acos(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ /* acos(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "acos";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = x;
+ exc.retval = nan("");
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/w_asin.c b/newlib/libm/math/w_asin.c
new file mode 100644
index 00000000000..e7884b2e383
--- /dev/null
+++ b/newlib/libm/math/w_asin.c
@@ -0,0 +1,121 @@
+
+/* @(#)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.
+ * ====================================================
+ *
+ */
+
+/*
+FUNCTION
+ <<asin>>, <<asinf>>---arc sine
+
+INDEX
+ asin
+INDEX
+ asinf
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double asin(double <[x]>);
+ float asinf(float <[x]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double asin(<[x]>)
+ double <[x]>;
+
+ float asinf(<[x]>)
+ float <[x]>;
+
+
+DESCRIPTION
+
+<<asin>> computes the inverse sine (arc sine) of the argument <[x]>.
+Arguments to <<asin>> must be in the range @minus{}1 to 1.
+
+<<asinf>> is identical to <<asin>>, other than taking and
+returning floats.
+
+You can modify error handling for these routines using <<matherr>>.
+
+RETURNS
+@ifnottex
+<<asin>> returns values in radians, in the range of -pi/2 to pi/2.
+@end ifnottex
+@tex
+<<asin>> returns values in radians, in the range of $-\pi/2$ to $\pi/2$.
+@end tex
+
+If <[x]> is not in the range @minus{}1 to 1, <<asin>> and <<asinf>>
+return NaN (not a number), set the global variable <<errno>> to
+<<EDOM>>, and issue a <<DOMAIN error>> message.
+
+You can change this error treatment using <<matherr>>.
+
+QUICKREF ANSI SVID POSIX RENTRANT
+ asin y,y,y,m
+ asinf n,n,n,m
+
+MATHREF
+ asin, -1<=arg<=1, asin(arg),,,
+ asin, NAN, arg,EDOM, DOMAIN
+
+MATHREF
+ asinf, -1<=arg<=1, asin(arg),,,
+ asinf, NAN, arg,EDOM, DOMAIN
+
+
+*/
+
+/*
+ * wrapper asin(x)
+ */
+
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+ struct exception exc;
+ z = __ieee754_asin(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ /* asin(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "asin";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = x;
+ exc.retval = nan("");
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/w_atan2.c b/newlib/libm/math/w_atan2.c
new file mode 100644
index 00000000000..f3e344ea614
--- /dev/null
+++ b/newlib/libm/math/w_atan2.c
@@ -0,0 +1,90 @@
+
+/* @(#)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.
+ * ====================================================
+ *
+ */
+
+/*
+FUNCTION
+ <<atan2>>, <<atan2f>>---arc tangent of y/x
+
+INDEX
+ atan2
+INDEX
+ atan2f
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double atan2(double <[y]>,double <[x]>);
+ float atan2f(float <[y]>,float <[x]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double atan2(<[y]>,<[x]>);
+ double <[y]>;
+ double <[x]>;
+
+ float atan2f(<[y]>,<[x]>);
+ float <[y]>;
+ float <[x]>;
+
+DESCRIPTION
+
+<<atan2>> computes the inverse tangent (arc tangent) of <[y]>/<[x]>.
+<<atan2>> produces the correct result even for angles near
+@ifnottex
+pi/2 or -pi/2
+@end ifnottex
+@tex
+$\pi/2$ or $-\pi/2$
+@end tex
+(that is, when <[x]> is near 0).
+
+<<atan2f>> is identical to <<atan2>>, save that it takes and returns
+<<float>>.
+
+RETURNS
+<<atan2>> and <<atan2f>> return a value in radians, in the range of
+@ifnottex
+-pi to pi.
+@end ifnottex
+@tex
+$-\pi$ to $\pi$.
+@end tex
+
+You can modify error handling for these functions using <<matherr>>.
+
+PORTABILITY
+<<atan2>> is ANSI C. <<atan2f>> is an extension.
+
+
+*/
+
+/*
+ * wrapper atan2(y,x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double atan2(double y, double x) /* wrapper atan2 */
+#else
+ double atan2(y,x) /* wrapper atan2 */
+ double y,x;
+#endif
+{
+ return __ieee754_atan2(y,x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/w_log.c b/newlib/libm/math/w_log.c
new file mode 100644
index 00000000000..e23efd7e6f6
--- /dev/null
+++ b/newlib/libm/math/w_log.c
@@ -0,0 +1,116 @@
+
+/* @(#)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.
+ * ====================================================
+ */
+
+/*
+FUNCTION
+ <<log>>, <<logf>>---natural logarithms
+
+INDEX
+ log
+INDEX
+ logf
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double log(double <[x]>);
+ float logf(float <[x]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double log(<[x]>);
+ double <[x]>;
+
+ float logf(<[x]>);
+ float <[x]>;
+
+DESCRIPTION
+Return the natural logarithm of <[x]>, that is, its logarithm base e
+(where e is the base of the natural system of logarithms, 2.71828@dots{}).
+<<log>> and <<logf>> are identical save for the return and argument types.
+
+You can use the (non-ANSI) function <<matherr>> to specify error
+handling for these functions.
+
+RETURNS
+Normally, returns the calculated value. When <[x]> is zero, the
+returned value is <<-HUGE_VAL>> and <<errno>> is set to <<ERANGE>>.
+When <[x]> is negative, the returned value is NaN (not a number) and
+<<errno>> is set to <<EDOM>>. You can control the error behavior via
+<<matherr>>.
+
+PORTABILITY
+<<log>> is ANSI. <<logf>> is an extension.
+*/
+
+/*
+ * wrapper log(x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+ struct exception exc;
+ z = __ieee754_log(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0) return z;
+#ifndef HUGE_VAL
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+ exc.name = "log";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = x;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if(x==0.0) {
+ /* log(0) */
+ exc.type = SING;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ } else {
+ /* log(x<0) */
+ exc.type = DOMAIN;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ exc.retval = nan("");
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+#endif
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/w_log10.c b/newlib/libm/math/w_log10.c
new file mode 100644
index 00000000000..7c39669545c
--- /dev/null
+++ b/newlib/libm/math/w_log10.c
@@ -0,0 +1,116 @@
+
+/* @(#)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.
+ * ====================================================
+ */
+
+/*
+FUNCTION
+ <<log10>>, <<log10f>>---base 10 logarithms
+
+INDEX
+log10
+INDEX
+log10f
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double log10(double <[x]>);
+ float log10f(float <[x]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double log10(<[x]>)
+ double <[x]>;
+
+ float log10f(<[x]>)
+ float <[x]>;
+
+DESCRIPTION
+<<log10>> returns the base 10 logarithm of <[x]>.
+It is implemented as <<log(<[x]>) / log(10)>>.
+
+<<log10f>> is identical, save that it takes and returns <<float>> values.
+
+RETURNS
+<<log10>> and <<log10f>> return the calculated value.
+
+See the description of <<log>> for information on errors.
+
+PORTABILITY
+<<log10>> is ANSI C. <<log10f>> is an extension.
+
+ */
+
+/*
+ * wrapper log10(X)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+ struct exception exc;
+ z = __ieee754_log10(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(x<=0.0) {
+#ifndef HUGE_VAL
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+ exc.name = "log10";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = x;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if(x==0.0) {
+ /* log10(0) */
+ exc.type = SING;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ } else {
+ /* log10(x<0) */
+ exc.type = DOMAIN;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ exc.retval = nan("");
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/w_pow.c b/newlib/libm/math/w_pow.c
new file mode 100644
index 00000000000..2e08619321c
--- /dev/null
+++ b/newlib/libm/math/w_pow.c
@@ -0,0 +1,231 @@
+
+
+/* @(#)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.
+ * ====================================================
+ */
+
+/*
+FUNCTION
+ <<pow>>, <<powf>>---x to the power y
+INDEX
+ pow
+INDEX
+ powf
+
+
+ANSI_SYNOPSIS
+ #include <math.h>
+ double pow(double <[x]>, double <[y]>);
+ float pow(float <[x]>, float <[y]>);
+
+TRAD_SYNOPSIS
+ #include <math.h>
+ double pow(<[x]>, <[y]>);
+ double <[x]>, <[y]>;
+
+ float pow(<[x]>, <[y]>);
+ float <[x]>, <[y]>;
+
+DESCRIPTION
+ <<pow>> and <<powf>> calculate <[x]> raised to the exponent <[y]>.
+ @tex
+ (That is, $x^y$.)
+ @end tex
+
+RETURNS
+ On success, <<pow>> and <<powf>> return the value calculated.
+
+ When the argument values would produce overflow, <<pow>>
+ returns <<HUGE_VAL>> and set <<errno>> to <<ERANGE>>. If the
+ argument <[x]> passed to <<pow>> or <<powf>> is a negative
+ noninteger, and <[y]> is also not an integer, then <<errno>>
+ is set to <<EDOM>>. If <[x]> and <[y]> are both 0, then
+ <<pow>> and <<powf>> return <<1>>.
+
+ You can modify error handling for these functions using <<matherr>>.
+
+PORTABILITY
+ <<pow>> is ANSI C. <<powf>> is an extension. */
+
+/*
+ * wrapper pow(x,y) return x**y
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifndef _DOUBLE_IS_32BITS
+
+#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;
+#ifndef HUGE_VAL
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+ struct exception exc;
+ z=__ieee754_pow(x,y);
+ if(_LIB_VERSION == _IEEE_|| isnan(y)) return z;
+ if(isnan(x)) {
+ if(y==0.0) {
+ /* pow(NaN,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ exc.retval = 1.0;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ } else
+ return z;
+ }
+ if(x==0.0){
+ if(y==0.0) {
+ /* pow(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ exc.retval = 0.0;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ }
+ if(finite(y)&&y<0.0) {
+ /* 0**neg */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = 0.0;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ }
+ return z;
+ }
+ if(!finite(z)) {
+ if(finite(x)&&finite(y)) {
+ if(isnan(z)) {
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = 0.0;
+ else
+ exc.retval = 0.0/0.0; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ } else {
+ /* pow(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ if (_LIB_VERSION == _SVID_) {
+ exc.retval = HUGE;
+ y *= 0.5;
+ if(x<0.0&&rint(y)!=y) exc.retval = -HUGE;
+ } else {
+ exc.retval = HUGE_VAL;
+ y *= 0.5;
+ if(x<0.0&&rint(y)!=y) exc.retval = -HUGE_VAL;
+ }
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ }
+ }
+ }
+ if(z==0.0&&finite(x)&&finite(y)) {
+ /* pow(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = "pow";
+ exc.err = 0;
+ exc.arg1 = x;
+ exc.arg2 = y;
+ exc.retval = 0.0;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return exc.retval;
+ }
+ return z;
+#endif
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/newlib/libm/math/wf_acos.c b/newlib/libm/math/wf_acos.c
new file mode 100644
index 00000000000..38817b82b21
--- /dev/null
+++ b/newlib/libm/math/wf_acos.c
@@ -0,0 +1,69 @@
+/* wf_acos.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.
+ * ====================================================
+ */
+
+/*
+ * wrap_acosf(x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifdef _HAVE_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;
+ struct exception exc;
+ z = __ieee754_acosf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* acosf(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "acosf";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = (double)x;
+ exc.retval = nan("");
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double acos(double x)
+#else
+ double acos(x)
+ double x;
+#endif
+{
+ return (double) acosf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/wf_asin.c b/newlib/libm/math/wf_asin.c
new file mode 100644
index 00000000000..fc39e977c08
--- /dev/null
+++ b/newlib/libm/math/wf_asin.c
@@ -0,0 +1,71 @@
+/* wf_asin.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.
+ * ====================================================
+ *
+ */
+
+/*
+ * wrapper asinf(x)
+ */
+
+
+#include "fdlibm.h"
+#include <errno.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;
+ struct exception exc;
+ z = __ieee754_asinf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* asinf(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "asinf";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = (double)x;
+ exc.retval = nan("");
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double asin(double x)
+#else
+ double asin(x)
+ double x;
+#endif
+{
+ return (double) asinf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/wf_atan2.c b/newlib/libm/math/wf_atan2.c
new file mode 100644
index 00000000000..eb2a76b1fb0
--- /dev/null
+++ b/newlib/libm/math/wf_atan2.c
@@ -0,0 +1,46 @@
+/* wf_atan2.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.
+ * ====================================================
+ *
+ */
+
+/*
+ * wrapper atan2f(y,x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ float atan2f(float y, float x) /* wrapper atan2f */
+#else
+ float atan2f(y,x) /* wrapper atan2 */
+ float y,x;
+#endif
+{
+ return __ieee754_atan2f(y,x);
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double atan2(double y, double x)
+#else
+ double atan2(y,x)
+ double y,x;
+#endif
+{
+ return (double) atan2f((float) y, (float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/wf_log.c b/newlib/libm/math/wf_log.c
new file mode 100644
index 00000000000..369ef32614f
--- /dev/null
+++ b/newlib/libm/math/wf_log.c
@@ -0,0 +1,86 @@
+/* wf_log.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.
+ * ====================================================
+ */
+
+/*
+ * wrapper logf(x)
+ */
+
+#include "fdlibm.h"
+#include <errno.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;
+ struct exception exc;
+ z = __ieee754_logf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) || x > (float)0.0) return z;
+#ifndef HUGE_VAL
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+ exc.name = "logf";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = (double)x;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if(x==(float)0.0) {
+ /* logf(0) */
+ exc.type = SING;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ } else {
+ /* logf(x<0) */
+ exc.type = DOMAIN;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ exc.retval = nan("");
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+#endif
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double log(double x)
+#else
+ double log(x)
+ double x;
+#endif
+{
+ return (double) logf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/wf_log10.c b/newlib/libm/math/wf_log10.c
new file mode 100644
index 00000000000..728913500b3
--- /dev/null
+++ b/newlib/libm/math/wf_log10.c
@@ -0,0 +1,89 @@
+/* wf_log10.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.
+ * ====================================================
+ */
+
+/*
+ * wrapper log10f(X)
+ */
+
+#include "fdlibm.h"
+#include <errno.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;
+ struct exception exc;
+ z = __ieee754_log10f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(x<=(float)0.0) {
+#ifndef HUGE_VAL
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+ exc.name = "log10f";
+ exc.err = 0;
+ exc.arg1 = exc.arg2 = (double)x;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if(x==(float)0.0) {
+ /* log10f(0) */
+ exc.type = SING;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ } else {
+ /* log10f(x<0) */
+ exc.type = DOMAIN;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ exc.retval = nan("");
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ } else
+ return z;
+#endif
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double log10(double x)
+#else
+ double log10(x)
+ double x;
+#endif
+{
+ return (double) log10f((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/newlib/libm/math/wf_pow.c b/newlib/libm/math/wf_pow.c
new file mode 100644
index 00000000000..eaeed85ab7b
--- /dev/null
+++ b/newlib/libm/math/wf_pow.c
@@ -0,0 +1,179 @@
+/* wf_pow.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.
+ * ====================================================
+ */
+
+/*
+ * wrapper powf(x,y) return x**y
+ */
+
+#include "fdlibm.h"
+#include <errno.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;
+ struct exception exc;
+ 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) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ exc.retval = 1.0;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ } else
+ return z;
+ }
+ if(x==(float)0.0){
+ if(y==(float)0.0) {
+ /* powf(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ exc.retval = 0.0;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ }
+ if(finitef(y)&&y<(float)0.0) {
+ /* 0**neg */
+ exc.type = DOMAIN;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = 0.0;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ }
+ return z;
+ }
+ if(!finitef(z)) {
+ if(finitef(x)&&finitef(y)) {
+ if(isnanf(z)) {
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = 0.0;
+ else
+ exc.retval = 0.0/0.0; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ } else {
+ /* powf(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ if (_LIB_VERSION == _SVID_) {
+ exc.retval = HUGE;
+ y *= 0.5;
+ if(x<0.0&&rint(y)!=y) exc.retval = -HUGE;
+ } else {
+ exc.retval = HUGE_VAL;
+ y *= 0.5;
+ if(x<0.0&&rint(y)!=y) exc.retval = -HUGE_VAL;
+ }
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ }
+ }
+ }
+ if(z==(float)0.0&&finitef(x)&&finitef(y)) {
+ /* powf(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = "powf";
+ exc.err = 0;
+ exc.arg1 = (double)x;
+ exc.arg2 = (double)y;
+ exc.retval = 0.0;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ if (exc.err != 0)
+ errno = exc.err;
+ return (float)exc.retval;
+ }
+ return z;
+#endif
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+ double pow(double x, double y)
+#else
+ double pow(x,y)
+ double x,y;
+#endif
+{
+ return (double) powf((float) x, (float) y);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */