summaryrefslogtreecommitdiffstats
path: root/lib/msun/src
diff options
context:
space:
mode:
authorjkh <jkh@FreeBSD.org>1994-08-19 09:40:01 +0000
committerjkh <jkh@FreeBSD.org>1994-08-19 09:40:01 +0000
commit2a8fd4fc31e9bb0c1e4fd76bae95ab3cda6697a6 (patch)
tree4ff73a6787376298e07041dd3fba7cd22a1acdd1 /lib/msun/src
downloadFreeBSD-src-2a8fd4fc31e9bb0c1e4fd76bae95ab3cda6697a6.zip
FreeBSD-src-2a8fd4fc31e9bb0c1e4fd76bae95ab3cda6697a6.tar.gz
J.T. Conklin's latest version of the Sun math library.
-- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
Diffstat (limited to 'lib/msun/src')
-rw-r--r--lib/msun/src/e_acos.c111
-rw-r--r--lib/msun/src/e_acosf.c89
-rw-r--r--lib/msun/src/e_acosh.c69
-rw-r--r--lib/msun/src/e_acoshf.c57
-rw-r--r--lib/msun/src/e_asin.c120
-rw-r--r--lib/msun/src/e_asinf.c92
-rw-r--r--lib/msun/src/e_atan2.c130
-rw-r--r--lib/msun/src/e_atan2f.c105
-rw-r--r--lib/msun/src/e_atanh.c74
-rw-r--r--lib/msun/src/e_atanhf.c58
-rw-r--r--lib/msun/src/e_cosh.c93
-rw-r--r--lib/msun/src/e_coshf.c71
-rw-r--r--lib/msun/src/e_exp.c167
-rw-r--r--lib/msun/src/e_expf.c103
-rw-r--r--lib/msun/src/e_fmod.c140
-rw-r--r--lib/msun/src/e_fmodf.c113
-rw-r--r--lib/msun/src/e_gamma.c37
-rw-r--r--lib/msun/src/e_gamma_r.c35
-rw-r--r--lib/msun/src/e_gammaf.c39
-rw-r--r--lib/msun/src/e_gammaf_r.c38
-rw-r--r--lib/msun/src/e_hypot.c128
-rw-r--r--lib/msun/src/e_hypotf.c87
-rw-r--r--lib/msun/src/e_j0.c487
-rw-r--r--lib/msun/src/e_j0f.c444
-rw-r--r--lib/msun/src/e_j1.c486
-rw-r--r--lib/msun/src/e_j1f.c444
-rw-r--r--lib/msun/src/e_jn.c281
-rw-r--r--lib/msun/src/e_jnf.c212
-rw-r--r--lib/msun/src/e_lgamma.c36
-rw-r--r--lib/msun/src/e_lgamma_r.c312
-rw-r--r--lib/msun/src/e_lgammaf.c39
-rw-r--r--lib/msun/src/e_lgammaf_r.c248
-rw-r--r--lib/msun/src/e_log.c146
-rw-r--r--lib/msun/src/e_log10.c99
-rw-r--r--lib/msun/src/e_log10f.c68
-rw-r--r--lib/msun/src/e_logf.c97
-rw-r--r--lib/msun/src/e_pow.c312
-rw-r--r--lib/msun/src/e_powf.c253
-rw-r--r--lib/msun/src/e_rem_pio2.c158
-rw-r--r--lib/msun/src/e_rem_pio2f.c171
-rw-r--r--lib/msun/src/e_remainder.c80
-rw-r--r--lib/msun/src/e_remainderf.c73
-rw-r--r--lib/msun/src/e_scalb.c55
-rw-r--r--lib/msun/src/e_scalbf.c52
-rw-r--r--lib/msun/src/e_sinh.c86
-rw-r--r--lib/msun/src/e_sinhf.c68
-rw-r--r--lib/msun/src/e_sqrt.c453
-rw-r--r--lib/msun/src/e_sqrtf.c97
-rw-r--r--lib/msun/src/k_cos.c96
-rw-r--r--lib/msun/src/k_cosf.c64
-rw-r--r--lib/msun/src/k_rem_pio2.c320
-rw-r--r--lib/msun/src/k_rem_pio2f.c213
-rw-r--r--lib/msun/src/k_sin.c79
-rw-r--r--lib/msun/src/k_sinf.c54
-rw-r--r--lib/msun/src/k_standard.c782
-rw-r--r--lib/msun/src/k_tan.c131
-rw-r--r--lib/msun/src/k_tanf.c101
-rw-r--r--lib/msun/src/math.h273
-rw-r--r--lib/msun/src/math_private.h223
-rw-r--r--lib/msun/src/s_asinh.c65
-rw-r--r--lib/msun/src/s_asinhf.c57
-rw-r--r--lib/msun/src/s_atan.c139
-rw-r--r--lib/msun/src/s_atanf.c119
-rw-r--r--lib/msun/src/s_cbrt.c93
-rw-r--r--lib/msun/src/s_cbrtf.c83
-rw-r--r--lib/msun/src/s_ceil.c80
-rw-r--r--lib/msun/src/s_ceilf.c61
-rw-r--r--lib/msun/src/s_copysign.c38
-rw-r--r--lib/msun/src/s_copysignf.c41
-rw-r--r--lib/msun/src/s_cos.c82
-rw-r--r--lib/msun/src/s_cosf.c59
-rw-r--r--lib/msun/src/s_erf.c314
-rw-r--r--lib/msun/src/s_erff.c223
-rw-r--r--lib/msun/src/s_expm1.c228
-rw-r--r--lib/msun/src/s_expm1f.c133
-rw-r--r--lib/msun/src/s_fabs.c35
-rw-r--r--lib/msun/src/s_fabsf.c38
-rw-r--r--lib/msun/src/s_finite.c35
-rw-r--r--lib/msun/src/s_finitef.c38
-rw-r--r--lib/msun/src/s_floor.c81
-rw-r--r--lib/msun/src/s_floorf.c70
-rw-r--r--lib/msun/src/s_frexp.c60
-rw-r--r--lib/msun/src/s_frexpf.c53
-rw-r--r--lib/msun/src/s_ilogb.c50
-rw-r--r--lib/msun/src/s_ilogbf.c43
-rw-r--r--lib/msun/src/s_isnan.c38
-rw-r--r--lib/msun/src/s_isnanf.c40
-rw-r--r--lib/msun/src/s_ldexp.c32
-rw-r--r--lib/msun/src/s_ldexpf.c35
-rw-r--r--lib/msun/src/s_lib_version.c39
-rw-r--r--lib/msun/src/s_log1p.c173
-rw-r--r--lib/msun/src/s_log1pf.c112
-rw-r--r--lib/msun/src/s_logb.c42
-rw-r--r--lib/msun/src/s_logbf.c39
-rw-r--r--lib/msun/src/s_matherr.c30
-rw-r--r--lib/msun/src/s_modf.c83
-rw-r--r--lib/msun/src/s_modff.c64
-rw-r--r--lib/msun/src/s_nextafter.c79
-rw-r--r--lib/msun/src/s_nextafterf.c70
-rw-r--r--lib/msun/src/s_rint.c86
-rw-r--r--lib/msun/src/s_rintf.c71
-rw-r--r--lib/msun/src/s_scalbn.c66
-rw-r--r--lib/msun/src/s_scalbnf.c62
-rw-r--r--lib/msun/src/s_signgam.c3
-rw-r--r--lib/msun/src/s_significand.c34
-rw-r--r--lib/msun/src/s_significandf.c31
-rw-r--r--lib/msun/src/s_sin.c82
-rw-r--r--lib/msun/src/s_sinf.c53
-rw-r--r--lib/msun/src/s_tan.c76
-rw-r--r--lib/msun/src/s_tanf.c48
-rw-r--r--lib/msun/src/s_tanh.c86
-rw-r--r--lib/msun/src/s_tanhf.c64
-rw-r--r--lib/msun/src/w_acos.c43
-rw-r--r--lib/msun/src/w_acosf.c47
-rw-r--r--lib/msun/src/w_acosh.c42
-rw-r--r--lib/msun/src/w_acoshf.c47
-rw-r--r--lib/msun/src/w_asin.c44
-rw-r--r--lib/msun/src/w_asinf.c48
-rw-r--r--lib/msun/src/w_atan2.c43
-rw-r--r--lib/msun/src/w_atan2f.c47
-rw-r--r--lib/msun/src/w_atanh.c47
-rw-r--r--lib/msun/src/w_atanhf.c52
-rw-r--r--lib/msun/src/w_cabs.c20
-rw-r--r--lib/msun/src/w_cabsf.c21
-rw-r--r--lib/msun/src/w_cosh.c42
-rw-r--r--lib/msun/src/w_coshf.c46
-rw-r--r--lib/msun/src/w_drem.c15
-rw-r--r--lib/msun/src/w_dremf.c16
-rw-r--r--lib/msun/src/w_exp.c53
-rw-r--r--lib/msun/src/w_expf.c58
-rw-r--r--lib/msun/src/w_fmod.c43
-rw-r--r--lib/msun/src/w_fmodf.c47
-rw-r--r--lib/msun/src/w_gamma.c49
-rw-r--r--lib/msun/src/w_gamma_r.c46
-rw-r--r--lib/msun/src/w_gammaf.c48
-rw-r--r--lib/msun/src/w_gammaf_r.c51
-rw-r--r--lib/msun/src/w_hypot.c43
-rw-r--r--lib/msun/src/w_hypotf.c47
-rw-r--r--lib/msun/src/w_j0.c69
-rw-r--r--lib/msun/src/w_j0f.c74
-rw-r--r--lib/msun/src/w_j1.c70
-rw-r--r--lib/msun/src/w_j1f.c75
-rw-r--r--lib/msun/src/w_jn.c92
-rw-r--r--lib/msun/src/w_jnf.c71
-rw-r--r--lib/msun/src/w_lgamma.c49
-rw-r--r--lib/msun/src/w_lgamma_r.c46
-rw-r--r--lib/msun/src/w_lgammaf.c48
-rw-r--r--lib/msun/src/w_lgammaf_r.c51
-rw-r--r--lib/msun/src/w_log.c43
-rw-r--r--lib/msun/src/w_log10.c46
-rw-r--r--lib/msun/src/w_log10f.c51
-rw-r--r--lib/msun/src/w_logf.c48
-rw-r--r--lib/msun/src/w_pow.c61
-rw-r--r--lib/msun/src/w_powf.c72
-rw-r--r--lib/msun/src/w_remainder.c42
-rw-r--r--lib/msun/src/w_remainderf.c46
-rw-r--r--lib/msun/src/w_scalb.c60
-rw-r--r--lib/msun/src/w_scalbf.c65
-rw-r--r--lib/msun/src/w_sinh.c42
-rw-r--r--lib/msun/src/w_sinhf.c46
-rw-r--r--lib/msun/src/w_sqrt.c42
-rw-r--r--lib/msun/src/w_sqrtf.c46
162 files changed, 15965 insertions, 0 deletions
diff --git a/lib/msun/src/e_acos.c b/lib/msun/src/e_acos.c
new file mode 100644
index 0000000..0958a32
--- /dev/null
+++ b/lib/msun/src/e_acos.c
@@ -0,0 +1,111 @@
+/* @(#)e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_acos.c,v 1.6 1994/08/18 23:04:51 jtc Exp $";
+#endif
+
+/* __ieee754_acos(x)
+ * Method :
+ * acos(x) = pi/2 - asin(x)
+ * acos(-x) = pi/2 + asin(x)
+ * For |x|<=0.5
+ * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c)
+ * For x>0.5
+ * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
+ * = 2asin(sqrt((1-x)/2))
+ * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z)
+ * = 2f + (2c + 2s*z*R(z))
+ * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term
+ * for f so that f+c ~ sqrt(z).
+ * For x<-0.5
+ * acos(x) = pi - 2asin(sqrt((1-|x|)/2))
+ * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+ double __ieee754_acos(double x)
+#else
+ double __ieee754_acos(x)
+ double x;
+#endif
+{
+ double z,p,q,r,w,s,c,df;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3ff00000) { /* |x| >= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==0) { /* |x|==1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+2.0*pio2_lo; /* acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3fe00000) { /* |x| < 0.5 */
+ if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+ z = x*x;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*0.5;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ s = sqrt(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - 2.0*(s+w);
+ } else { /* x > 0.5 */
+ z = (one-x)*0.5;
+ s = sqrt(z);
+ df = s;
+ SET_LOW_WORD(df,0);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ w = r*s+c;
+ return 2.0*(df+w);
+ }
+}
diff --git a/lib/msun/src/e_acosf.c b/lib/msun/src/e_acosf.c
new file mode 100644
index 0000000..b3703fe
--- /dev/null
+++ b/lib/msun/src/e_acosf.c
@@ -0,0 +1,89 @@
+/* e_acosf.c -- float version of e_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_acosf.c,v 1.2 1994/08/18 23:04:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+pi = 3.1415925026e+00, /* 0x40490fda */
+pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
+pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 = 3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 = 2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+ float __ieee754_acosf(float x)
+#else
+ float __ieee754_acosf(x)
+ float x;
+#endif
+{
+ float z,p,q,r,w,s,c,df;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix==0x3f800000) { /* |x|==1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */
+ } else if(ix>0x3f800000) { /* |x| >= 1 */
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3f000000) { /* |x| < 0.5 */
+ if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+ z = x*x;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*(float)0.5;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ s = sqrtf(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - (float)2.0*(s+w);
+ } else { /* x > 0.5 */
+ int32_t idf;
+ z = (one-x)*(float)0.5;
+ s = sqrtf(z);
+ df = s;
+ GET_FLOAT_WORD(idf,df);
+ SET_FLOAT_WORD(df,idf&0xfffff000);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ w = r*s+c;
+ return (float)2.0*(df+w);
+ }
+}
diff --git a/lib/msun/src/e_acosh.c b/lib/msun/src/e_acosh.c
new file mode 100644
index 0000000..f54ba32
--- /dev/null
+++ b/lib/msun/src/e_acosh.c
@@ -0,0 +1,69 @@
+/* @(#)e_acosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_acosh.c,v 1.6 1994/08/18 23:04:54 jtc Exp $";
+#endif
+
+/* __ieee754_acosh(x)
+ * Method :
+ * Based on
+ * acosh(x) = log [ x + sqrt(x*x-1) ]
+ * we have
+ * acosh(x) := log(x)+ln2, if x is large; else
+ * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x<1.
+ * acosh(NaN) is NaN without signal.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+
+#ifdef __STDC__
+ double __ieee754_acosh(double x)
+#else
+ double __ieee754_acosh(x)
+ double x;
+#endif
+{
+ double t;
+ int32_t hx;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ if(hx<0x3ff00000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x41b00000) { /* x > 2**28 */
+ if(hx >=0x7ff00000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if(((hx-0x3ff00000)|lx)==0) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return log1p(t+sqrt(2.0*t+t*t));
+ }
+}
diff --git a/lib/msun/src/e_acoshf.c b/lib/msun/src/e_acoshf.c
new file mode 100644
index 0000000..23ead6f
--- /dev/null
+++ b/lib/msun/src/e_acoshf.c
@@ -0,0 +1,57 @@
+/* e_acoshf.c -- float version of e_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_acoshf.c,v 1.2 1994/08/18 23:04:57 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+ln2 = 6.9314718246e-01; /* 0x3f317218 */
+
+#ifdef __STDC__
+ float __ieee754_acoshf(float x)
+#else
+ float __ieee754_acoshf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx;
+ GET_FLOAT_WORD(hx,x);
+ if(hx<0x3f800000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x4d800000) { /* x > 2**28 */
+ if(hx >=0x7f800000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if (hx==0x3f800000) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logf((float)2.0*x-one/(x+sqrtf(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return log1pf(t+sqrtf((float)2.0*t+t*t));
+ }
+}
diff --git a/lib/msun/src/e_asin.c b/lib/msun/src/e_asin.c
new file mode 100644
index 0000000..7f6a915
--- /dev/null
+++ b/lib/msun/src/e_asin.c
@@ -0,0 +1,120 @@
+/* @(#)e_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_asin.c,v 1.6 1994/08/18 23:05:01 jtc Exp $";
+#endif
+
+/* __ieee754_asin(x)
+ * Method :
+ * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
+ * we approximate asin(x) on [0,0.5] by
+ * asin(x) = x + x*x^2*R(x^2)
+ * where
+ * R(x^2) is a rational approximation of (asin(x)-x)/x^3
+ * and its remez error is bounded by
+ * |(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)
+ *
+ * For x in [0.5,1]
+ * asin(x) = pi/2-2*asin(sqrt((1-x)/2))
+ * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
+ * then for x>0.98
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo)
+ * For x<=0.98, let pio4_hi = pio2_hi/2, then
+ * f = hi part of s;
+ * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z)
+ * and
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo)
+ * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+huge = 1.000e+300,
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+ /* coefficient for R(x^2) */
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+ double __ieee754_asin(double x)
+#else
+ double __ieee754_asin(x)
+ double x;
+#endif
+{
+ double t,w,p,q,c,r,s;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>= 0x3ff00000) { /* |x|>= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==0)
+ /* asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (ix<0x3fe00000) { /* |x|<0.5 */
+ if(ix<0x3e400000) { /* if |x| < 2**-27 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ } else
+ t = x*x;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabs(x);
+ t = w*0.5;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ s = sqrt(t);
+ if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+ } else {
+ w = s;
+ SET_LOW_WORD(w,0);
+ c = (t-w*w)/(s+w);
+ r = p/q;
+ p = 2.0*s*r-(pio2_lo-2.0*c);
+ q = pio4_hi-2.0*w;
+ t = pio4_hi-(p-q);
+ }
+ if(hx>0) return t; else return -t;
+}
diff --git a/lib/msun/src/e_asinf.c b/lib/msun/src/e_asinf.c
new file mode 100644
index 0000000..7945874
--- /dev/null
+++ b/lib/msun/src/e_asinf.c
@@ -0,0 +1,92 @@
+/* e_asinf.c -- float version of e_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_asinf.c,v 1.2 1994/08/18 23:05:05 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+huge = 1.000e+30,
+pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
+pio4_hi = 7.8539818525e-01, /* 0x3f490fdb */
+ /* coefficient for R(x^2) */
+pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 = 3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 = 2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+ float __ieee754_asinf(float x)
+#else
+ float __ieee754_asinf(x)
+ float x;
+#endif
+{
+ float t,w,p,q,c,r,s;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix==0x3f800000) {
+ /* asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ } else if(ix> 0x3f800000) { /* |x|>= 1 */
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (ix<0x3f000000) { /* |x|<0.5 */
+ if(ix<0x32000000) { /* if |x| < 2**-27 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ } else
+ t = x*x;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabsf(x);
+ t = w*(float)0.5;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ s = sqrtf(t);
+ if(ix>=0x3F79999A) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo);
+ } else {
+ int32_t iw;
+ w = s;
+ GET_FLOAT_WORD(iw,w);
+ SET_FLOAT_WORD(w,iw&0xfffff000);
+ c = (t-w*w)/(s+w);
+ r = p/q;
+ p = (float)2.0*s*r-(pio2_lo-(float)2.0*c);
+ q = pio4_hi-(float)2.0*w;
+ t = pio4_hi-(p-q);
+ }
+ if(hx>0) return t; else return -t;
+}
diff --git a/lib/msun/src/e_atan2.c b/lib/msun/src/e_atan2.c
new file mode 100644
index 0000000..8221de6
--- /dev/null
+++ b/lib/msun/src/e_atan2.c
@@ -0,0 +1,130 @@
+/* @(#)e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_atan2.c,v 1.6 1994/08/18 23:05:08 jtc Exp $";
+#endif
+
+/* __ieee754_atan2(y,x)
+ * Method :
+ * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
+ * 2. Reduce x to positive by (if x and y are unexceptional):
+ * ARG (x+iy) = arctan(y/x) ... if x > 0,
+ * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
+ *
+ * Special cases:
+ *
+ * ATAN2((anything), NaN ) is NaN;
+ * ATAN2(NAN , (anything) ) is NaN;
+ * ATAN2(+-0, +(anything but NaN)) is +-0 ;
+ * ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ * ATAN2(+-INF,+INF ) is +-pi/4 ;
+ * ATAN2(+-INF,-INF ) is +-3pi/4;
+ * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+tiny = 1.0e-300,
+zero = 0.0,
+pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
+pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
+pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
+pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
+
+#ifdef __STDC__
+ double __ieee754_atan2(double y, double x)
+#else
+ double __ieee754_atan2(y,x)
+ double y,x;
+#endif
+{
+ double z;
+ int32_t k,m,hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ EXTRACT_WORDS(hy,ly,y);
+ iy = hy&0x7fffffff;
+ if(((ix|((lx|-lx)>>31))>0x7ff00000)||
+ ((iy|((ly|-ly)>>31))>0x7ff00000)) /* x or y is NaN */
+ return x+y;
+ if((hx-0x3ff00000|lx)==0) return atan(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if((iy|ly)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7ff00000) {
+ if(iy==0x7ff00000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>20;
+ if(k > 60) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**60 */
+ else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
+ else z=atan(fabs(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int32_t zh;
+ GET_HIGH_WORD(zh,z);
+ SET_HIGH_WORD(z,zh ^ 0x80000000);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/lib/msun/src/e_atan2f.c b/lib/msun/src/e_atan2f.c
new file mode 100644
index 0000000..8493ca4
--- /dev/null
+++ b/lib/msun/src/e_atan2f.c
@@ -0,0 +1,105 @@
+/* e_atan2f.c -- float version of e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_atan2f.c,v 1.2 1994/08/18 23:05:11 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+tiny = 1.0e-30,
+zero = 0.0,
+pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
+pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
+pi = 3.1415925026e+00, /* 0x40490fda */
+pi_lo = 1.5099578832e-07; /* 0x34222168 */
+
+#ifdef __STDC__
+ float __ieee754_atan2f(float y, float x)
+#else
+ float __ieee754_atan2f(y,x)
+ float y,x;
+#endif
+{
+ float z;
+ int32_t k,m,hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ GET_FLOAT_WORD(hy,y);
+ iy = hy&0x7fffffff;
+ if((ix>0x7f800000)||
+ (iy>0x7f800000)) /* x or y is NaN */
+ return x+y;
+ if(hx==0x3f800000) return atanf(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if(iy==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7f800000) {
+ if(iy==0x7f800000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>23;
+ if(k > 60) z=pi_o_2+(float)0.5*pi_lo; /* |y/x| > 2**60 */
+ else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
+ else z=atanf(fabsf(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int32_t zh;
+ GET_FLOAT_WORD(zh,z);
+ SET_FLOAT_WORD(z,zh ^ 0x80000000);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/lib/msun/src/e_atanh.c b/lib/msun/src/e_atanh.c
new file mode 100644
index 0000000..7d85023
--- /dev/null
+++ b/lib/msun/src/e_atanh.c
@@ -0,0 +1,74 @@
+/* @(#)e_atanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_atanh.c,v 1.6 1994/08/18 23:05:12 jtc Exp $";
+#endif
+
+/* __ieee754_atanh(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ * atanh(x) is NaN if |x| > 1 with signal;
+ * atanh(NaN) is that NaN with no signal;
+ * atanh(+-1) is +-INF with signal.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, huge = 1e300;
+#else
+static double one = 1.0, huge = 1e300;
+#endif
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_atanh(double x)
+#else
+ double __ieee754_atanh(x)
+ double x;
+#endif
+{
+ double t;
+ int32_t hx,ix;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3ff00000)
+ return x/zero;
+ if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_HIGH_WORD(x,ix);
+ if(ix<0x3fe00000) { /* x < 0.5 */
+ t = x+x;
+ t = 0.5*log1p(t+t*x/(one-x));
+ } else
+ t = 0.5*log1p((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/lib/msun/src/e_atanhf.c b/lib/msun/src/e_atanhf.c
new file mode 100644
index 0000000..3a941cc
--- /dev/null
+++ b/lib/msun/src/e_atanhf.c
@@ -0,0 +1,58 @@
+/* e_atanhf.c -- float version of e_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_atanhf.c,v 1.2 1994/08/18 23:05:14 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, huge = 1e30;
+#else
+static float one = 1.0, huge = 1e30;
+#endif
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_atanhf(float x)
+#else
+ float __ieee754_atanhf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if (ix>0x3f800000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3f800000)
+ return x/zero;
+ if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_FLOAT_WORD(x,ix);
+ if(ix<0x3f000000) { /* x < 0.5 */
+ t = x+x;
+ t = (float)0.5*log1pf(t+t*x/(one-x));
+ } else
+ t = (float)0.5*log1pf((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/lib/msun/src/e_cosh.c b/lib/msun/src/e_cosh.c
new file mode 100644
index 0000000..b54fc3f
--- /dev/null
+++ b/lib/msun/src/e_cosh.c
@@ -0,0 +1,93 @@
+/* @(#)e_cosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_cosh.c,v 1.5 1994/08/18 23:05:15 jtc Exp $";
+#endif
+
+/* __ieee754_cosh(x)
+ * Method :
+ * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2
+ * 1. Replace x by |x| (cosh(x) = cosh(-x)).
+ * 2.
+ * [ exp(x) - 1 ]^2
+ * 0 <= x <= ln2/2 : cosh(x) := 1 + -------------------
+ * 2*exp(x)
+ *
+ * exp(x) + 1/exp(x)
+ * ln2/2 <= x <= 22 : cosh(x) := -------------------
+ * 2
+ * 22 <= x <= lnovft : cosh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ * cosh(x) is |x| if x is +INF, -INF, or NaN.
+ * only cosh(0)=1 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, half=0.5, huge = 1.0e300;
+#else
+static double one = 1.0, half=0.5, huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_cosh(double x)
+#else
+ double __ieee754_cosh(x)
+ double x;
+#endif
+{
+ double t,w;
+ int32_t ix;
+ u_int32_t lx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3fd62e43) {
+ t = expm1(fabs(x));
+ w = one+t;
+ if (ix<0x3c800000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x40360000) {
+ t = __ieee754_exp(fabs(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x40862E42) return half*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ GET_LOW_WORD(lx,x);
+ if (ix<0x408633CE ||
+ (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) {
+ w = __ieee754_exp(half*fabs(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/lib/msun/src/e_coshf.c b/lib/msun/src/e_coshf.c
new file mode 100644
index 0000000..6c30ae5
--- /dev/null
+++ b/lib/msun/src/e_coshf.c
@@ -0,0 +1,71 @@
+/* e_coshf.c -- float version of e_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_coshf.c,v 1.2 1994/08/18 23:05:17 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, half=0.5, huge = 1.0e30;
+#else
+static float one = 1.0, half=0.5, huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_coshf(float x)
+#else
+ float __ieee754_coshf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3eb17218) {
+ t = expm1f(fabsf(x));
+ w = one+t;
+ if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x41b00000) {
+ t = __ieee754_expf(fabsf(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf(half*fabsf(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/lib/msun/src/e_exp.c b/lib/msun/src/e_exp.c
new file mode 100644
index 0000000..4c76930
--- /dev/null
+++ b/lib/msun/src/e_exp.c
@@ -0,0 +1,167 @@
+/* @(#)e_exp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_exp.c,v 1.6 1994/08/18 23:05:18 jtc Exp $";
+#endif
+
+/* __ieee754_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 Reme 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 "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+huge = 1.0e+300,
+twom1000= 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/
+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 */
+
+
+#ifdef __STDC__
+ double __ieee754_exp(double x) /* default IEEE double exp */
+#else
+ double __ieee754_exp(x) /* default IEEE double exp */
+ double x;
+#endif
+{
+ double y,hi,lo,c,t;
+ int32_t k,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 = invln2*x+halF[xsb];
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ 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;
+ 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) {
+ u_int32_t hy;
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(y,hy+(k<<20)); /* add k to y's exponent */
+ return y;
+ } else {
+ u_int32_t hy;
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(y,hy+((k+1000)<<20)); /* add k to y's exponent */
+ return y*twom1000;
+ }
+}
diff --git a/lib/msun/src/e_expf.c b/lib/msun/src/e_expf.c
new file mode 100644
index 0000000..e4df68e
--- /dev/null
+++ b/lib/msun/src/e_expf.c
@@ -0,0 +1,103 @@
+/* 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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_expf.c,v 1.2 1994/08/18 23:05:20 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+huge = 1.0e+30,
+twom100 = 7.8886090522e-31, /* 2**-100=0x0d800000 */
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
+ln2HI[2] ={ 6.9313812256e-01, /* 0x3f317180 */
+ -6.9313812256e-01,}, /* 0xbf317180 */
+ln2LO[2] ={ 9.0580006145e-06, /* 0x3717f7d1 */
+ -9.0580006145e-06,}, /* 0xb717f7d1 */
+invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
+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 */
+
+#ifdef __STDC__
+ float __ieee754_expf(float x) /* default IEEE double exp */
+#else
+ float __ieee754_expf(x) /* default IEEE double exp */
+ float x;
+#endif
+{
+ float y,hi,lo,c,t;
+ int32_t k,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];
+ }
+ x = hi - lo;
+ }
+ else if(hx < 0x31800000) { /* 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;
+ c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ 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) {
+ u_int32_t hy;
+ GET_FLOAT_WORD(hy,y);
+ SET_FLOAT_WORD(y,hy+(k<<23)); /* add k to y's exponent */
+ return y;
+ } else {
+ u_int32_t hy;
+ GET_FLOAT_WORD(hy,y);
+ SET_FLOAT_WORD(y,hy+((k+100)<<23)); /* add k to y's exponent */
+ return y*twom100;
+ }
+}
diff --git a/lib/msun/src/e_fmod.c b/lib/msun/src/e_fmod.c
new file mode 100644
index 0000000..0733d47
--- /dev/null
+++ b/lib/msun/src/e_fmod.c
@@ -0,0 +1,140 @@
+/* @(#)e_fmod.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_fmod.c,v 1.6 1994/08/18 23:05:21 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static double one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+ double __ieee754_fmod(double x, double y)
+#else
+ double __ieee754_fmod(x,y)
+ double x,y ;
+#endif
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int32_t lx,ly,lz;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
+ ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<=hy) {
+ if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
+ if(lx==ly)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00100000) { /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
+ } else {
+ for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
+ }
+ } else ix = (hx>>20)-1023;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00100000) { /* subnormal y */
+ if(hy==0) {
+ for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
+ } else {
+ for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
+ }
+ } else iy = (hy>>20)-1023;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -1022)
+ hx = 0x00100000|(0x000fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -1022-ix;
+ if(n<=31) {
+ hx = (hx<<n)|(lx>>(32-n));
+ lx <<= n;
+ } else {
+ hx = lx<<(n-32);
+ lx = 0;
+ }
+ }
+ if(iy >= -1022)
+ hy = 0x00100000|(0x000fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -1022-iy;
+ if(n<=31) {
+ hy = (hy<<n)|(ly>>(32-n));
+ ly <<= n;
+ } else {
+ hy = ly<<(n-32);
+ ly = 0;
+ }
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
+ else {
+ if((hz|lz)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz+(lz>>31); lx = lz+lz;
+ }
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00100000) { /* normalize x */
+ hx = hx+hx+(lx>>31); lx = lx+lx;
+ iy -= 1;
+ }
+ if(iy>= -1022) { /* normalize output */
+ hx = ((hx-0x00100000)|((iy+1023)<<20));
+ INSERT_WORDS(x,hx|sx,lx);
+ } else { /* subnormal output */
+ n = -1022 - iy;
+ if(n<=20) {
+ lx = (lx>>n)|((u_int32_t)hx<<(32-n));
+ hx >>= n;
+ } else if (n<=31) {
+ lx = (hx<<(32-n))|(lx>>n); hx = sx;
+ } else {
+ lx = hx>>(n-32); hx = sx;
+ }
+ INSERT_WORDS(x,hx|sx,lx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/lib/msun/src/e_fmodf.c b/lib/msun/src/e_fmodf.c
new file mode 100644
index 0000000..5e547f5
--- /dev/null
+++ b/lib/msun/src/e_fmodf.c
@@ -0,0 +1,113 @@
+/* e_fmodf.c -- float version of e_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_fmodf.c,v 1.2 1994/08/18 23:05:23 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_fmodf(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static float one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+ float __ieee754_fmodf(float x, float y)
+#else
+ float __ieee754_fmodf(x,y)
+ float x,y ;
+#endif
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if(hy==0||(hx>=0x7f800000)|| /* y=0,or x not finite */
+ (hy>0x7f800000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<hy) return x; /* |x|<|y| return x */
+ if(hx==hy)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00800000) { /* subnormal x */
+ for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
+ } else ix = (hx>>23)-127;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00800000) { /* subnormal y */
+ for (iy = -126,i=(hy<<8); i>=0; i<<=1) iy -=1;
+ } else iy = (hy>>23)-127;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -126)
+ hx = 0x00800000|(0x007fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -126-ix;
+ hx = hx<<n;
+ }
+ if(iy >= -126)
+ hy = 0x00800000|(0x007fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -126-iy;
+ hy = hy<<n;
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;
+ if(hz<0){hx = hx+hx;}
+ else {
+ if(hz==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz;
+ }
+ }
+ hz=hx-hy;
+ if(hz>=0) {hx=hz;}
+
+ /* convert back to floating value and restore the sign */
+ if(hx==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00800000) { /* normalize x */
+ hx = hx+hx;
+ iy -= 1;
+ }
+ if(iy>= -126) { /* normalize output */
+ hx = ((hx-0x00800000)|((iy+127)<<23));
+ SET_FLOAT_WORD(x,hx|sx);
+ } else { /* subnormal output */
+ n = -126 - iy;
+ hx >>= n;
+ SET_FLOAT_WORD(x,hx|sx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/lib/msun/src/e_gamma.c b/lib/msun/src/e_gamma.c
new file mode 100644
index 0000000..a3e6a4b
--- /dev/null
+++ b/lib/msun/src/e_gamma.c
@@ -0,0 +1,37 @@
+/* @(#)e_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_gamma.c,v 1.4 1994/08/10 20:30:51 jtc Exp $";
+#endif
+
+/* __ieee754_gamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_gamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double __ieee754_gamma(double x)
+#else
+ double __ieee754_gamma(x)
+ double x;
+#endif
+{
+ return __ieee754_gamma_r(x,&signgam);
+}
diff --git a/lib/msun/src/e_gamma_r.c b/lib/msun/src/e_gamma_r.c
new file mode 100644
index 0000000..8b6cb8f
--- /dev/null
+++ b/lib/msun/src/e_gamma_r.c
@@ -0,0 +1,35 @@
+/* @(#)er_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_gamma_r.c,v 1.4 1994/08/10 20:30:52 jtc Exp $";
+#endif
+
+/* __ieee754_gamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method: See __ieee754_lgamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __ieee754_gamma_r(double x, int *signgamp)
+#else
+ double __ieee754_gamma_r(x,signgamp)
+ double x; int *signgamp;
+#endif
+{
+ return __ieee754_lgamma_r(x,signgamp);
+}
diff --git a/lib/msun/src/e_gammaf.c b/lib/msun/src/e_gammaf.c
new file mode 100644
index 0000000..593ae12
--- /dev/null
+++ b/lib/msun/src/e_gammaf.c
@@ -0,0 +1,39 @@
+/* e_gammaf.c -- float version of e_gamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_gammaf.c,v 1.1 1994/08/10 20:30:53 jtc Exp $";
+#endif
+
+/* __ieee754_gammaf(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_gammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ float __ieee754_gammaf(float x)
+#else
+ float __ieee754_gammaf(x)
+ float x;
+#endif
+{
+ return __ieee754_gammaf_r(x,&signgam);
+}
diff --git a/lib/msun/src/e_gammaf_r.c b/lib/msun/src/e_gammaf_r.c
new file mode 100644
index 0000000..b74657a
--- /dev/null
+++ b/lib/msun/src/e_gammaf_r.c
@@ -0,0 +1,38 @@
+/* e_gammaf_r.c -- float version of e_gamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_gammaf_r.c,v 1.1 1994/08/10 20:30:54 jtc Exp $";
+#endif
+
+/* __ieee754_gammaf_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method: See __ieee754_lgammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __ieee754_gammaf_r(float x, int *signgamp)
+#else
+ float __ieee754_gammaf_r(x,signgamp)
+ float x; int *signgamp;
+#endif
+{
+ return __ieee754_lgammaf_r(x,signgamp);
+}
diff --git a/lib/msun/src/e_hypot.c b/lib/msun/src/e_hypot.c
new file mode 100644
index 0000000..045f8a3
--- /dev/null
+++ b/lib/msun/src/e_hypot.c
@@ -0,0 +1,128 @@
+/* @(#)e_hypot.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_hypot.c,v 1.6 1994/08/18 23:05:24 jtc Exp $";
+#endif
+
+/* __ieee754_hypot(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than sqrt(2)/2 ulp, than
+ * sqrt(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute sqrt(x*x+y*y) with some care as
+ * follows to get the error below 1 ulp:
+ *
+ * Assume x>y>0;
+ * (if possible, set rounding to round-to-nearest)
+ * 1. if x > 2y use
+ * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ * where x1 = x with lower 32 bits cleared, x2 = x-x1; else
+ * 2. if x <= 2y use
+ * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
+ * y1= y with lower 32 bits chopped, y2 = y-y1.
+ *
+ * NOTE: scaling may be necessary if some argument is too
+ * large or too tiny
+ *
+ * Special cases:
+ * hypot(x,y) is INF if x or y is +INF or -INF; else
+ * hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __ieee754_hypot(double x, double y)
+#else
+ double __ieee754_hypot(x,y)
+ double x, y;
+#endif
+{
+ double a=x,b=y,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_HIGH_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_HIGH_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ SET_HIGH_WORD(a,ha); /* a <- |a| */
+ SET_HIGH_WORD(b,hb); /* b <- |b| */
+ if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */
+ k=0;
+ if(ha > 0x5f300000) { /* a>2**500 */
+ if(ha >= 0x7ff00000) { /* Inf or NaN */
+ u_int32_t low;
+ w = a+b; /* for sNaN */
+ GET_LOW_WORD(low,a);
+ if(((ha&0xfffff)|low)==0) w = a;
+ GET_LOW_WORD(low,b);
+ if(((hb^0x7ff00000)|low)==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-600 */
+ ha -= 0x25800000; hb -= 0x25800000; k += 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ if(hb < 0x20b00000) { /* b < 2**-500 */
+ if(hb <= 0x000fffff) { /* subnormal b or 0 */
+ u_int32_t low;
+ GET_LOW_WORD(low,b);
+ if((hb|low)==0) return a;
+ t1=0;
+ SET_HIGH_WORD(t1,0x7fd00000); /* t1=2^1022 */
+ b *= t1;
+ a *= t1;
+ k -= 1022;
+ } else { /* scale a and b by 2^600 */
+ ha += 0x25800000; /* a *= 2^600 */
+ hb += 0x25800000; /* b *= 2^600 */
+ k -= 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha);
+ t2 = a-t1;
+ w = sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ SET_HIGH_WORD(y1,hb);
+ y2 = b - y1;
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha+0x00100000);
+ t2 = a - t1;
+ w = sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t high;
+ t1 = 1.0;
+ GET_HIGH_WORD(high,t1);
+ SET_HIGH_WORD(t1,high+(k<<20));
+ return t1*w;
+ } else return w;
+}
diff --git a/lib/msun/src/e_hypotf.c b/lib/msun/src/e_hypotf.c
new file mode 100644
index 0000000..874d7ee
--- /dev/null
+++ b/lib/msun/src/e_hypotf.c
@@ -0,0 +1,87 @@
+/* e_hypotf.c -- float version of e_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_hypotf.c,v 1.2 1994/08/18 23:05:26 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __ieee754_hypotf(float x, float y)
+#else
+ float __ieee754_hypot(x,y)
+ float x, y;
+#endif
+{
+ float a=x,b=y,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_FLOAT_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_FLOAT_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ SET_FLOAT_WORD(a,ha); /* a <- |a| */
+ SET_FLOAT_WORD(b,hb); /* b <- |b| */
+ if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
+ k=0;
+ if(ha > 0x58800000) { /* a>2**50 */
+ if(ha >= 0x7f800000) { /* Inf or NaN */
+ w = a+b; /* for sNaN */
+ if(ha == 0x7f800000) w = a;
+ if(hb == 0x7f800000) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-60 */
+ ha -= 0x5d800000; hb -= 0x5d800000; k += 60;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ if(hb < 0x26800000) { /* b < 2**-50 */
+ if(hb <= 0x007fffff) { /* subnormal b or 0 */
+ if(hb==0) return a;
+ SET_FLOAT_WORD(t1,0x3f000000); /* t1=2^126 */
+ b *= t1;
+ a *= t1;
+ k -= 126;
+ } else { /* scale a and b by 2^60 */
+ ha += 0x5d800000; /* a *= 2^60 */
+ hb += 0x5d800000; /* b *= 2^60 */
+ k -= 60;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ SET_FLOAT_WORD(t1,ha&0xfffff000);
+ t2 = a-t1;
+ w = sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ SET_FLOAT_WORD(y1,hb&0xfffff000);
+ y2 = b - y1;
+ SET_FLOAT_WORD(t1,ha+0x00800000);
+ t2 = a - t1;
+ w = sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
+ return t1*w;
+ } else return w;
+}
diff --git a/lib/msun/src/e_j0.c b/lib/msun/src/e_j0.c
new file mode 100644
index 0000000..508f721
--- /dev/null
+++ b/lib/msun/src/e_j0.c
@@ -0,0 +1,487 @@
+/* @(#)e_j0.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_j0.c,v 1.6 1994/08/18 23:05:29 jtc Exp $";
+#endif
+
+/* __ieee754_j0(x), __ieee754_y0(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j0(x):
+ * 1. For tiny x, we use j0(x) = 1 - x^2/4 + x^4/64 - ...
+ * 2. Reduce x to |x| since j0(x)=j0(-x), and
+ * for x in (0,2)
+ * j0(x) = 1-z/4+ z^2*R0/S0, where z = x*x;
+ * (precision: |j0-1+z/4-z^2R0/S0 |<2**-63.67 )
+ * for x in (2,inf)
+ * j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * as follow:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (cos(x) + sin(x))
+ * sin(x0) = sin(x)cos(pi/4)-cos(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j0(nan)= nan
+ * j0(0) = 1
+ * j0(inf) = 0
+ *
+ * Method -- y0(x):
+ * 1. For x<2.
+ * Since
+ * y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...)
+ * therefore y0(x)-2/pi*j0(x)*ln(x) is an even function.
+ * We use the following function to approximate y0,
+ * y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2
+ * where
+ * U(z) = u00 + u01*z + ... + u06*z^6
+ * V(z) = 1 + v01*z + ... + v04*z^4
+ * with absolute approximation error bounded by 2**-72.
+ * Note: For tiny x, U/V = u0 and j0(x)~1, hence
+ * y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27)
+ * 2. For x>=2.
+ * y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * by the method mentioned above.
+ * 3. Special cases: y0(0)=-inf, y0(x<0)=NaN, y0(inf)=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pzero(double), qzero(double);
+#else
+static double pzero(), qzero();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0, 2.00] */
+R02 = 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */
+R03 = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */
+R04 = 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */
+R05 = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */
+S01 = 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */
+S02 = 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
+S03 = 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
+S04 = 1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_j0(double x)
+#else
+ double __ieee754_j0(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,r,u,v;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/(x*x);
+ x = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(x);
+ c = cos(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*cc-v*ss)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<0x3f200000) { /* |x| < 2**-13 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x3e400000) return one; /* |x|<2**-27 */
+ else return one - 0.25*x*x;
+ }
+ }
+ z = x*x;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ if(ix < 0x3FF00000) { /* |x| < 1.00 */
+ return one + z*(-0.25+(r/s));
+ } else {
+ u = 0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+u00 = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */
+u01 = 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */
+u02 = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */
+u03 = 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */
+u04 = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */
+u05 = 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */
+u06 = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */
+v01 = 1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */
+v02 = 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */
+v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */
+v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */
+
+#ifdef __STDC__
+ double __ieee754_y0(double x)
+#else
+ double __ieee754_y0(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,u,v;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */
+ if(ix>=0x7ff00000) return one/(x+x*x);
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = sin(x);
+ c = cos(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3e400000) { /* x < 2**-27 */
+ return(u00 + tpi*__ieee754_log(x));
+ }
+ z = x*x;
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+ return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+#ifdef __STDC__
+static const double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -7.03124999999900357484e-02, /* 0xBFB1FFFF, 0xFFFFFD32 */
+ -8.08167041275349795626e+00, /* 0xC02029D0, 0xB44FA779 */
+ -2.57063105679704847262e+02, /* 0xC0701102, 0x7B19E863 */
+ -2.48521641009428822144e+03, /* 0xC0A36A6E, 0xCD4DCAFC */
+ -5.25304380490729545272e+03, /* 0xC0B4850B, 0x36CC643D */
+};
+#ifdef __STDC__
+static const double pS8[5] = {
+#else
+static double pS8[5] = {
+#endif
+ 1.16534364619668181717e+02, /* 0x405D2233, 0x07A96751 */
+ 3.83374475364121826715e+03, /* 0x40ADF37D, 0x50596938 */
+ 4.05978572648472545552e+04, /* 0x40E3D2BB, 0x6EB6B05F */
+ 1.16752972564375915681e+05, /* 0x40FC810F, 0x8F9FA9BD */
+ 4.76277284146730962675e+04, /* 0x40E74177, 0x4F2C49DC */
+};
+
+#ifdef __STDC__
+static const double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.14125464691894502584e-11, /* 0xBDA918B1, 0x47E495CC */
+ -7.03124940873599280078e-02, /* 0xBFB1FFFF, 0xE69AFBC6 */
+ -4.15961064470587782438e+00, /* 0xC010A370, 0xF90C6BBF */
+ -6.76747652265167261021e+01, /* 0xC050EB2F, 0x5A7D1783 */
+ -3.31231299649172967747e+02, /* 0xC074B3B3, 0x6742CC63 */
+ -3.46433388365604912451e+02, /* 0xC075A6EF, 0x28A38BD7 */
+};
+#ifdef __STDC__
+static const double pS5[5] = {
+#else
+static double pS5[5] = {
+#endif
+ 6.07539382692300335975e+01, /* 0x404E6081, 0x0C98C5DE */
+ 1.05125230595704579173e+03, /* 0x40906D02, 0x5C7E2864 */
+ 5.97897094333855784498e+03, /* 0x40B75AF8, 0x8FBE1D60 */
+ 9.62544514357774460223e+03, /* 0x40C2CCB8, 0xFA76FA38 */
+ 2.40605815922939109441e+03, /* 0x40A2CC1D, 0xC70BE864 */
+};
+
+#ifdef __STDC__
+static const double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.54704601771951915620e-09, /* 0xBE25E103, 0x6FE1AA86 */
+ -7.03119616381481654654e-02, /* 0xBFB1FFF6, 0xF7C0E24B */
+ -2.40903221549529611423e+00, /* 0xC00345B2, 0xAEA48074 */
+ -2.19659774734883086467e+01, /* 0xC035F74A, 0x4CB94E14 */
+ -5.80791704701737572236e+01, /* 0xC04D0A22, 0x420A1A45 */
+ -3.14479470594888503854e+01, /* 0xC03F72AC, 0xA892D80F */
+};
+#ifdef __STDC__
+static const double pS3[5] = {
+#else
+static double pS3[5] = {
+#endif
+ 3.58560338055209726349e+01, /* 0x4041ED92, 0x84077DD3 */
+ 3.61513983050303863820e+02, /* 0x40769839, 0x464A7C0E */
+ 1.19360783792111533330e+03, /* 0x4092A66E, 0x6D1061D6 */
+ 1.12799679856907414432e+03, /* 0x40919FFC, 0xB8C39B7E */
+ 1.73580930813335754692e+02, /* 0x4065B296, 0xFC379081 */
+};
+
+#ifdef __STDC__
+static const double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.87534333032526411254e-08, /* 0xBE77D316, 0xE927026D */
+ -7.03030995483624743247e-02, /* 0xBFB1FF62, 0x495E1E42 */
+ -1.45073846780952986357e+00, /* 0xBFF73639, 0x8A24A843 */
+ -7.63569613823527770791e+00, /* 0xC01E8AF3, 0xEDAFA7F3 */
+ -1.11931668860356747786e+01, /* 0xC02662E6, 0xC5246303 */
+ -3.23364579351335335033e+00, /* 0xC009DE81, 0xAF8FE70F */
+};
+#ifdef __STDC__
+static const double pS2[5] = {
+#else
+static double pS2[5] = {
+#endif
+ 2.22202997532088808441e+01, /* 0x40363865, 0x908B5959 */
+ 1.36206794218215208048e+02, /* 0x4061069E, 0x0EE8878F */
+ 2.70470278658083486789e+02, /* 0x4070E786, 0x42EA079B */
+ 1.53875394208320329881e+02, /* 0x40633C03, 0x3AB6FAFF */
+ 1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */
+};
+
+#ifdef __STDC__
+ static double pzero(double x)
+#else
+ static double pzero(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double z,r,s;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pR8; q= pS8;}
+ else if(ix>=0x40122E8B){p = pR5; q= pS5;}
+ else if(ix>=0x4006DB6D){p = pR3; q= pS3;}
+ else if(ix>=0x40000000){p = pR2; q= pS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+#ifdef __STDC__
+static const double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 7.32421874999935051953e-02, /* 0x3FB2BFFF, 0xFFFFFE2C */
+ 1.17682064682252693899e+01, /* 0x40278952, 0x5BB334D6 */
+ 5.57673380256401856059e+02, /* 0x40816D63, 0x15301825 */
+ 8.85919720756468632317e+03, /* 0x40C14D99, 0x3E18F46D */
+ 3.70146267776887834771e+04, /* 0x40E212D4, 0x0E901566 */
+};
+#ifdef __STDC__
+static const double qS8[6] = {
+#else
+static double qS8[6] = {
+#endif
+ 1.63776026895689824414e+02, /* 0x406478D5, 0x365B39BC */
+ 8.09834494656449805916e+03, /* 0x40BFA258, 0x4E6B0563 */
+ 1.42538291419120476348e+05, /* 0x41016652, 0x54D38C3F */
+ 8.03309257119514397345e+05, /* 0x412883DA, 0x83A52B43 */
+ 8.40501579819060512818e+05, /* 0x4129A66B, 0x28DE0B3D */
+ -3.43899293537866615225e+05, /* 0xC114FD6D, 0x2C9530C5 */
+};
+
+#ifdef __STDC__
+static const double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.84085963594515531381e-11, /* 0x3DB43D8F, 0x29CC8CD9 */
+ 7.32421766612684765896e-02, /* 0x3FB2BFFF, 0xD172B04C */
+ 5.83563508962056953777e+00, /* 0x401757B0, 0xB9953DD3 */
+ 1.35111577286449829671e+02, /* 0x4060E392, 0x0A8788E9 */
+ 1.02724376596164097464e+03, /* 0x40900CF9, 0x9DC8C481 */
+ 1.98997785864605384631e+03, /* 0x409F17E9, 0x53C6E3A6 */
+};
+#ifdef __STDC__
+static const double qS5[6] = {
+#else
+static double qS5[6] = {
+#endif
+ 8.27766102236537761883e+01, /* 0x4054B1B3, 0xFB5E1543 */
+ 2.07781416421392987104e+03, /* 0x40A03BA0, 0xDA21C0CE */
+ 1.88472887785718085070e+04, /* 0x40D267D2, 0x7B591E6D */
+ 5.67511122894947329769e+04, /* 0x40EBB5E3, 0x97E02372 */
+ 3.59767538425114471465e+04, /* 0x40E19118, 0x1F7A54A0 */
+ -5.35434275601944773371e+03, /* 0xC0B4EA57, 0xBEDBC609 */
+};
+
+#ifdef __STDC__
+static const double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 4.37741014089738620906e-09, /* 0x3E32CD03, 0x6ADECB82 */
+ 7.32411180042911447163e-02, /* 0x3FB2BFEE, 0x0E8D0842 */
+ 3.34423137516170720929e+00, /* 0x400AC0FC, 0x61149CF5 */
+ 4.26218440745412650017e+01, /* 0x40454F98, 0x962DAEDD */
+ 1.70808091340565596283e+02, /* 0x406559DB, 0xE25EFD1F */
+ 1.66733948696651168575e+02, /* 0x4064D77C, 0x81FA21E0 */
+};
+#ifdef __STDC__
+static const double qS3[6] = {
+#else
+static double qS3[6] = {
+#endif
+ 4.87588729724587182091e+01, /* 0x40486122, 0xBFE343A6 */
+ 7.09689221056606015736e+02, /* 0x40862D83, 0x86544EB3 */
+ 3.70414822620111362994e+03, /* 0x40ACF04B, 0xE44DFC63 */
+ 6.46042516752568917582e+03, /* 0x40B93C6C, 0xD7C76A28 */
+ 2.51633368920368957333e+03, /* 0x40A3A8AA, 0xD94FB1C0 */
+ -1.49247451836156386662e+02, /* 0xC062A7EB, 0x201CF40F */
+};
+
+#ifdef __STDC__
+static const double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.50444444886983272379e-07, /* 0x3E84313B, 0x54F76BDB */
+ 7.32234265963079278272e-02, /* 0x3FB2BEC5, 0x3E883E34 */
+ 1.99819174093815998816e+00, /* 0x3FFFF897, 0xE727779C */
+ 1.44956029347885735348e+01, /* 0x402CFDBF, 0xAAF96FE5 */
+ 3.16662317504781540833e+01, /* 0x403FAA8E, 0x29FBDC4A */
+ 1.62527075710929267416e+01, /* 0x403040B1, 0x71814BB4 */
+};
+#ifdef __STDC__
+static const double qS2[6] = {
+#else
+static double qS2[6] = {
+#endif
+ 3.03655848355219184498e+01, /* 0x403E5D96, 0xF7C07AED */
+ 2.69348118608049844624e+02, /* 0x4070D591, 0xE4D14B40 */
+ 8.44783757595320139444e+02, /* 0x408A6645, 0x22B3BF22 */
+ 8.82935845112488550512e+02, /* 0x408B977C, 0x9C5CC214 */
+ 2.12666388511798828631e+02, /* 0x406A9553, 0x0E001365 */
+ -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */
+};
+
+#ifdef __STDC__
+ static double qzero(double x)
+#else
+ static double qzero(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double s,r,z;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qR8; q= qS8;}
+ else if(ix>=0x40122E8B){p = qR5; q= qS5;}
+ else if(ix>=0x4006DB6D){p = qR3; q= qS3;}
+ else if(ix>=0x40000000){p = qR2; q= qS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (-.125 + r/s)/x;
+}
diff --git a/lib/msun/src/e_j0f.c b/lib/msun/src/e_j0f.c
new file mode 100644
index 0000000..ce8e510
--- /dev/null
+++ b/lib/msun/src/e_j0f.c
@@ -0,0 +1,444 @@
+/* e_j0f.c -- float version of e_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_j0f.c,v 1.2 1994/08/18 23:05:32 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float pzerof(float), qzerof(float);
+#else
+static float pzerof(), qzerof();
+#endif
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0, 2.00] */
+R02 = 1.5625000000e-02, /* 0x3c800000 */
+R03 = -1.8997929874e-04, /* 0xb947352e */
+R04 = 1.8295404516e-06, /* 0x35f58e88 */
+R05 = -4.6183270541e-09, /* 0xb19eaf3c */
+S01 = 1.5619102865e-02, /* 0x3c7fe744 */
+S02 = 1.1692678527e-04, /* 0x38f53697 */
+S03 = 5.1354652442e-07, /* 0x3509daa6 */
+S04 = 1.1661400734e-09; /* 0x30a045e8 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_j0f(float x)
+#else
+ float __ieee754_j0f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,r,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/(x*x);
+ x = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(x);
+ c = cosf(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(x);
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<0x39000000) { /* |x| < 2**-13 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x32000000) return one; /* |x|<2**-27 */
+ else return one - (float)0.25*x*x;
+ }
+ }
+ z = x*x;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ if(ix < 0x3F800000) { /* |x| < 1.00 */
+ return one + z*((float)-0.25+(r/s));
+ } else {
+ u = (float)0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+u00 = -7.3804296553e-02, /* 0xbd9726b5 */
+u01 = 1.7666645348e-01, /* 0x3e34e80d */
+u02 = -1.3818567619e-02, /* 0xbc626746 */
+u03 = 3.4745343146e-04, /* 0x39b62a69 */
+u04 = -3.8140706238e-06, /* 0xb67ff53c */
+u05 = 1.9559013964e-08, /* 0x32a802ba */
+u06 = -3.9820518410e-11, /* 0xae2f21eb */
+v01 = 1.2730483897e-02, /* 0x3c509385 */
+v02 = 7.6006865129e-05, /* 0x389f65e0 */
+v03 = 2.5915085189e-07, /* 0x348b216c */
+v04 = 4.4111031494e-10; /* 0x2ff280c2 */
+
+#ifdef __STDC__
+ float __ieee754_y0f(float x)
+#else
+ float __ieee754_y0f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */
+ if(ix>=0x7f800000) return one/(x+x*x);
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = sinf(x);
+ c = cosf(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x80000000) z = (invsqrtpi*ss)/sqrtf(x);
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x32000000) { /* x < 2**-27 */
+ return(u00 + tpi*__ieee754_logf(x));
+ }
+ z = x*x;
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+ return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+#ifdef __STDC__
+static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ -7.0312500000e-02, /* 0xbd900000 */
+ -8.0816707611e+00, /* 0xc1014e86 */
+ -2.5706311035e+02, /* 0xc3808814 */
+ -2.4852163086e+03, /* 0xc51b5376 */
+ -5.2530439453e+03, /* 0xc5a4285a */
+};
+#ifdef __STDC__
+static const float pS8[5] = {
+#else
+static float pS8[5] = {
+#endif
+ 1.1653436279e+02, /* 0x42e91198 */
+ 3.8337448730e+03, /* 0x456f9beb */
+ 4.0597855469e+04, /* 0x471e95db */
+ 1.1675296875e+05, /* 0x47e4087c */
+ 4.7627726562e+04, /* 0x473a0bba */
+};
+#ifdef __STDC__
+static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.1412546255e-11, /* 0xad48c58a */
+ -7.0312492549e-02, /* 0xbd8fffff */
+ -4.1596107483e+00, /* 0xc0851b88 */
+ -6.7674766541e+01, /* 0xc287597b */
+ -3.3123129272e+02, /* 0xc3a59d9b */
+ -3.4643338013e+02, /* 0xc3ad3779 */
+};
+#ifdef __STDC__
+static const float pS5[5] = {
+#else
+static float pS5[5] = {
+#endif
+ 6.0753936768e+01, /* 0x42730408 */
+ 1.0512523193e+03, /* 0x44836813 */
+ 5.9789707031e+03, /* 0x45bad7c4 */
+ 9.6254453125e+03, /* 0x461665c8 */
+ 2.4060581055e+03, /* 0x451660ee */
+};
+
+#ifdef __STDC__
+static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.5470459075e-09, /* 0xb12f081b */
+ -7.0311963558e-02, /* 0xbd8fffb8 */
+ -2.4090321064e+00, /* 0xc01a2d95 */
+ -2.1965976715e+01, /* 0xc1afba52 */
+ -5.8079170227e+01, /* 0xc2685112 */
+ -3.1447946548e+01, /* 0xc1fb9565 */
+};
+#ifdef __STDC__
+static const float pS3[5] = {
+#else
+static float pS3[5] = {
+#endif
+ 3.5856033325e+01, /* 0x420f6c94 */
+ 3.6151397705e+02, /* 0x43b4c1ca */
+ 1.1936077881e+03, /* 0x44953373 */
+ 1.1279968262e+03, /* 0x448cffe6 */
+ 1.7358093262e+02, /* 0x432d94b8 */
+};
+
+#ifdef __STDC__
+static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.8753431271e-08, /* 0xb3be98b7 */
+ -7.0303097367e-02, /* 0xbd8ffb12 */
+ -1.4507384300e+00, /* 0xbfb9b1cc */
+ -7.6356959343e+00, /* 0xc0f4579f */
+ -1.1193166733e+01, /* 0xc1331736 */
+ -3.2336456776e+00, /* 0xc04ef40d */
+};
+#ifdef __STDC__
+static const float pS2[5] = {
+#else
+static float pS2[5] = {
+#endif
+ 2.2220300674e+01, /* 0x41b1c32d */
+ 1.3620678711e+02, /* 0x430834f0 */
+ 2.7047027588e+02, /* 0x43873c32 */
+ 1.5387539673e+02, /* 0x4319e01a */
+ 1.4657617569e+01, /* 0x416a859a */
+};
+
+#ifdef __STDC__
+ static float pzerof(float x)
+#else
+ static float pzerof(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pR8; q= pS8;}
+ else if(ix>=0x40f71c58){p = pR5; q= pS5;}
+ else if(ix>=0x4036db68){p = pR3; q= pS3;}
+ else if(ix>=0x40000000){p = pR2; q= pS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+#ifdef __STDC__
+static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ 7.3242187500e-02, /* 0x3d960000 */
+ 1.1768206596e+01, /* 0x413c4a93 */
+ 5.5767340088e+02, /* 0x440b6b19 */
+ 8.8591972656e+03, /* 0x460a6cca */
+ 3.7014625000e+04, /* 0x471096a0 */
+};
+#ifdef __STDC__
+static const float qS8[6] = {
+#else
+static float qS8[6] = {
+#endif
+ 1.6377603149e+02, /* 0x4323c6aa */
+ 8.0983447266e+03, /* 0x45fd12c2 */
+ 1.4253829688e+05, /* 0x480b3293 */
+ 8.0330925000e+05, /* 0x49441ed4 */
+ 8.4050156250e+05, /* 0x494d3359 */
+ -3.4389928125e+05, /* 0xc8a7eb69 */
+};
+
+#ifdef __STDC__
+static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.8408595828e-11, /* 0x2da1ec79 */
+ 7.3242180049e-02, /* 0x3d95ffff */
+ 5.8356351852e+00, /* 0x40babd86 */
+ 1.3511157227e+02, /* 0x43071c90 */
+ 1.0272437744e+03, /* 0x448067cd */
+ 1.9899779053e+03, /* 0x44f8bf4b */
+};
+#ifdef __STDC__
+static const float qS5[6] = {
+#else
+static float qS5[6] = {
+#endif
+ 8.2776611328e+01, /* 0x42a58da0 */
+ 2.0778142090e+03, /* 0x4501dd07 */
+ 1.8847289062e+04, /* 0x46933e94 */
+ 5.6751113281e+04, /* 0x475daf1d */
+ 3.5976753906e+04, /* 0x470c88c1 */
+ -5.3543427734e+03, /* 0xc5a752be */
+};
+
+#ifdef __STDC__
+static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 4.3774099900e-09, /* 0x3196681b */
+ 7.3241114616e-02, /* 0x3d95ff70 */
+ 3.3442313671e+00, /* 0x405607e3 */
+ 4.2621845245e+01, /* 0x422a7cc5 */
+ 1.7080809021e+02, /* 0x432acedf */
+ 1.6673394775e+02, /* 0x4326bbe4 */
+};
+#ifdef __STDC__
+static const float qS3[6] = {
+#else
+static float qS3[6] = {
+#endif
+ 4.8758872986e+01, /* 0x42430916 */
+ 7.0968920898e+02, /* 0x44316c1c */
+ 3.7041481934e+03, /* 0x4567825f */
+ 6.4604252930e+03, /* 0x45c9e367 */
+ 2.5163337402e+03, /* 0x451d4557 */
+ -1.4924745178e+02, /* 0xc3153f59 */
+};
+
+#ifdef __STDC__
+static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.5044444979e-07, /* 0x342189db */
+ 7.3223426938e-02, /* 0x3d95f62a */
+ 1.9981917143e+00, /* 0x3fffc4bf */
+ 1.4495602608e+01, /* 0x4167edfd */
+ 3.1666231155e+01, /* 0x41fd5471 */
+ 1.6252708435e+01, /* 0x4182058c */
+};
+#ifdef __STDC__
+static const float qS2[6] = {
+#else
+static float qS2[6] = {
+#endif
+ 3.0365585327e+01, /* 0x41f2ecb8 */
+ 2.6934811401e+02, /* 0x4386ac8f */
+ 8.4478375244e+02, /* 0x44533229 */
+ 8.8293585205e+02, /* 0x445cbbe5 */
+ 2.1266638184e+02, /* 0x4354aa98 */
+ -5.3109550476e+00, /* 0xc0a9f358 */
+};
+
+#ifdef __STDC__
+ static float qzerof(float x)
+#else
+ static float qzerof(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = qR8; q= qS8;}
+ else if(ix>=0x40f71c58){p = qR5; q= qS5;}
+ else if(ix>=0x4036db68){p = qR3; q= qS3;}
+ else if(ix>=0x40000000){p = qR2; q= qS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (-(float).125 + r/s)/x;
+}
diff --git a/lib/msun/src/e_j1.c b/lib/msun/src/e_j1.c
new file mode 100644
index 0000000..407b84c
--- /dev/null
+++ b/lib/msun/src/e_j1.c
@@ -0,0 +1,486 @@
+/* @(#)e_j1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_j1.c,v 1.6 1994/08/18 23:05:33 jtc Exp $";
+#endif
+
+/* __ieee754_j1(x), __ieee754_y1(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j1(x):
+ * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
+ * 2. Reduce x to |x| since j1(x)=-j1(-x), and
+ * for x in (0,2)
+ * j1(x) = x/2 + x*z*R0/S0, where z = x*x;
+ * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 )
+ * for x in (2,inf)
+ * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * as follow:
+ * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (sin(x) + cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j1(nan)= nan
+ * j1(0) = 0
+ * j1(inf) = 0
+ *
+ * Method -- y1(x):
+ * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
+ * 2. For x<2.
+ * Since
+ * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
+ * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
+ * We use the following function to approximate y1,
+ * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
+ * where for x in [0,2] (abs err less than 2**-65.89)
+ * U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4
+ * V(z) = 1 + v0[0]*z + ... + v0[4]*z^5
+ * Note: For tiny x, 1/x dominate y1 and hence
+ * y1(tiny) = -2/pi/tiny, (choose tiny<2**-54)
+ * 3. For x>=2.
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * by method mentioned above.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pone(double), qone(double);
+#else
+static double pone(), qone();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0,2] */
+r00 = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
+r01 = 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
+r02 = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
+r03 = 4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */
+s01 = 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
+s02 = 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
+s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
+s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
+s05 = 1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_j1(double x)
+#else
+ double __ieee754_j1(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,r,u,v,y;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/x;
+ y = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(y);
+ c = cos(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure y+y not overflow */
+ z = cos(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(y);
+ else {
+ u = pone(y); v = qone(y);
+ z = invsqrtpi*(u*cc-v*ss)/sqrt(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x3e400000) { /* |x|<2**-27 */
+ if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+ return(x*0.5+r/s);
+}
+
+#ifdef __STDC__
+static const double U0[5] = {
+#else
+static double U0[5] = {
+#endif
+ -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */
+ 5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */
+ -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */
+ 2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */
+ -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */
+};
+#ifdef __STDC__
+static const double V0[5] = {
+#else
+static double V0[5] = {
+#endif
+ 1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */
+ 2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */
+ 1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */
+ 6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */
+ 1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */
+};
+
+#ifdef __STDC__
+ double __ieee754_y1(double x)
+#else
+ double __ieee754_y1(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,u,v;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+ if(ix>=0x7ff00000) return one/(x+x*x);
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(x);
+ c = cos(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = cos(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x);
+ else {
+ u = pone(x); v = qone(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3c900000) { /* x < 2**-54 */
+ return(-tpi/x);
+ }
+ z = x*x;
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return(x*(u/v) + tpi*(__ieee754_j1(x)*__ieee754_log(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */
+ 1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */
+ 4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */
+ 3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */
+ 7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */
+};
+#ifdef __STDC__
+static const double ps8[5] = {
+#else
+static double ps8[5] = {
+#endif
+ 1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */
+ 3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */
+ 3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */
+ 9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */
+ 3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */
+};
+
+#ifdef __STDC__
+static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */
+ 1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */
+ 6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */
+ 1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */
+ 5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */
+ 5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */
+};
+#ifdef __STDC__
+static const double ps5[5] = {
+#else
+static double ps5[5] = {
+#endif
+ 5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */
+ 9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */
+ 5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */
+ 7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */
+ 1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */
+};
+
+#ifdef __STDC__
+static const double pr3[6] = {
+#else
+static double pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */
+ 1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */
+ 3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */
+ 3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */
+ 9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */
+ 4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */
+};
+#ifdef __STDC__
+static const double ps3[5] = {
+#else
+static double ps3[5] = {
+#endif
+ 3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */
+ 3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */
+ 1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */
+ 8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */
+ 1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */
+};
+
+#ifdef __STDC__
+static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */
+ 1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */
+ 2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */
+ 1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */
+ 1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */
+ 5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */
+};
+#ifdef __STDC__
+static const double ps2[5] = {
+#else
+static double ps2[5] = {
+#endif
+ 2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */
+ 1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */
+ 2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */
+ 1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */
+ 8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */
+};
+
+#ifdef __STDC__
+ static double pone(double x)
+#else
+ static double pone(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double z,r,s;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pr8; q= ps8;}
+ else if(ix>=0x40122E8B){p = pr5; q= ps5;}
+ else if(ix>=0x4006DB6D){p = pr3; q= ps3;}
+ else if(ix>=0x40000000){p = pr2; q= ps2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */
+ -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */
+ -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */
+ -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */
+ -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */
+};
+#ifdef __STDC__
+static const double qs8[6] = {
+#else
+static double qs8[6] = {
+#endif
+ 1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */
+ 7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */
+ 1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */
+ 7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */
+ 6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */
+ -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */
+};
+
+#ifdef __STDC__
+static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */
+ -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */
+ -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */
+ -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */
+ -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */
+ -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */
+};
+#ifdef __STDC__
+static const double qs5[6] = {
+#else
+static double qs5[6] = {
+#endif
+ 8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */
+ 1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */
+ 1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */
+ 4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */
+ 2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */
+ -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */
+};
+
+#ifdef __STDC__
+static const double qr3[6] = {
+#else
+static double qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */
+ -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */
+ -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */
+ -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */
+ -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */
+ -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */
+};
+#ifdef __STDC__
+static const double qs3[6] = {
+#else
+static double qs3[6] = {
+#endif
+ 4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */
+ 6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */
+ 3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */
+ 5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */
+ 1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */
+ -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */
+};
+
+#ifdef __STDC__
+static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */
+ -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */
+ -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */
+ -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */
+ -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */
+ -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */
+};
+#ifdef __STDC__
+static const double qs2[6] = {
+#else
+static double qs2[6] = {
+#endif
+ 2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */
+ 2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */
+ 7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */
+ 7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */
+ 1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */
+ -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */
+};
+
+#ifdef __STDC__
+ static double qone(double x)
+#else
+ static double qone(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double s,r,z;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qr8; q= qs8;}
+ else if(ix>=0x40122E8B){p = qr5; q= qs5;}
+ else if(ix>=0x4006DB6D){p = qr3; q= qs3;}
+ else if(ix>=0x40000000){p = qr2; q= qs2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (.375 + r/s)/x;
+}
diff --git a/lib/msun/src/e_j1f.c b/lib/msun/src/e_j1f.c
new file mode 100644
index 0000000..9fa43fc
--- /dev/null
+++ b/lib/msun/src/e_j1f.c
@@ -0,0 +1,444 @@
+/* e_j1f.c -- float version of e_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_j1f.c,v 1.2 1994/08/18 23:05:35 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float ponef(float), qonef(float);
+#else
+static float ponef(), qonef();
+#endif
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0,2] */
+r00 = -6.2500000000e-02, /* 0xbd800000 */
+r01 = 1.4070566976e-03, /* 0x3ab86cfd */
+r02 = -1.5995563444e-05, /* 0xb7862e36 */
+r03 = 4.9672799207e-08, /* 0x335557d2 */
+s01 = 1.9153760746e-02, /* 0x3c9ce859 */
+s02 = 1.8594678841e-04, /* 0x3942fab6 */
+s03 = 1.1771846857e-06, /* 0x359dffc2 */
+s04 = 5.0463624390e-09, /* 0x31ad6446 */
+s05 = 1.2354227016e-11; /* 0x2d59567e */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_j1f(float x)
+#else
+ float __ieee754_j1f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,r,u,v,y;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/x;
+ y = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(y);
+ c = cosf(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure y+y not overflow */
+ z = cosf(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(y);
+ else {
+ u = ponef(y); v = qonef(y);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x32000000) { /* |x|<2**-27 */
+ if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+ return(x*(float)0.5+r/s);
+}
+
+#ifdef __STDC__
+static const float U0[5] = {
+#else
+static float U0[5] = {
+#endif
+ -1.9605709612e-01, /* 0xbe48c331 */
+ 5.0443872809e-02, /* 0x3d4e9e3c */
+ -1.9125689287e-03, /* 0xbafaaf2a */
+ 2.3525259166e-05, /* 0x37c5581c */
+ -9.1909917899e-08, /* 0xb3c56003 */
+};
+#ifdef __STDC__
+static const float V0[5] = {
+#else
+static float V0[5] = {
+#endif
+ 1.9916731864e-02, /* 0x3ca3286a */
+ 2.0255257550e-04, /* 0x3954644b */
+ 1.3560879779e-06, /* 0x35b602d4 */
+ 6.2274145840e-09, /* 0x31d5f8eb */
+ 1.6655924903e-11, /* 0x2d9281cf */
+};
+
+#ifdef __STDC__
+ float __ieee754_y1f(float x)
+#else
+ float __ieee754_y1f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+ if(ix>=0x7f800000) return one/(x+x*x);
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(x);
+ c = cosf(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = cosf(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x);
+ else {
+ u = ponef(x); v = qonef(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x24800000) { /* x < 2**-54 */
+ return(-tpi/x);
+ }
+ z = x*x;
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ 1.1718750000e-01, /* 0x3df00000 */
+ 1.3239480972e+01, /* 0x4153d4ea */
+ 4.1205184937e+02, /* 0x43ce06a3 */
+ 3.8747453613e+03, /* 0x45722bed */
+ 7.9144794922e+03, /* 0x45f753d6 */
+};
+#ifdef __STDC__
+static const float ps8[5] = {
+#else
+static float ps8[5] = {
+#endif
+ 1.1420736694e+02, /* 0x42e46a2c */
+ 3.6509309082e+03, /* 0x45642ee5 */
+ 3.6956207031e+04, /* 0x47105c35 */
+ 9.7602796875e+04, /* 0x47bea166 */
+ 3.0804271484e+04, /* 0x46f0a88b */
+};
+
+#ifdef __STDC__
+static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.3199052094e-11, /* 0x2d68333f */
+ 1.1718749255e-01, /* 0x3defffff */
+ 6.8027510643e+00, /* 0x40d9b023 */
+ 1.0830818176e+02, /* 0x42d89dca */
+ 5.1763616943e+02, /* 0x440168b7 */
+ 5.2871520996e+02, /* 0x44042dc6 */
+};
+#ifdef __STDC__
+static const float ps5[5] = {
+#else
+static float ps5[5] = {
+#endif
+ 5.9280597687e+01, /* 0x426d1f55 */
+ 9.9140142822e+02, /* 0x4477d9b1 */
+ 5.3532670898e+03, /* 0x45a74a23 */
+ 7.8446904297e+03, /* 0x45f52586 */
+ 1.5040468750e+03, /* 0x44bc0180 */
+};
+
+#ifdef __STDC__
+static const float pr3[6] = {
+#else
+static float pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 3.0250391081e-09, /* 0x314fe10d */
+ 1.1718686670e-01, /* 0x3defffab */
+ 3.9329774380e+00, /* 0x407bb5e7 */
+ 3.5119403839e+01, /* 0x420c7a45 */
+ 9.1055007935e+01, /* 0x42b61c2a */
+ 4.8559066772e+01, /* 0x42423c7c */
+};
+#ifdef __STDC__
+static const float ps3[5] = {
+#else
+static float ps3[5] = {
+#endif
+ 3.4791309357e+01, /* 0x420b2a4d */
+ 3.3676245117e+02, /* 0x43a86198 */
+ 1.0468714600e+03, /* 0x4482dbe3 */
+ 8.9081134033e+02, /* 0x445eb3ed */
+ 1.0378793335e+02, /* 0x42cf936c */
+};
+
+#ifdef __STDC__
+static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.0771083225e-07, /* 0x33e74ea8 */
+ 1.1717621982e-01, /* 0x3deffa16 */
+ 2.3685150146e+00, /* 0x401795c0 */
+ 1.2242610931e+01, /* 0x4143e1bc */
+ 1.7693971634e+01, /* 0x418d8d41 */
+ 5.0735230446e+00, /* 0x40a25a4d */
+};
+#ifdef __STDC__
+static const float ps2[5] = {
+#else
+static float ps2[5] = {
+#endif
+ 2.1436485291e+01, /* 0x41ab7dec */
+ 1.2529022980e+02, /* 0x42fa9499 */
+ 2.3227647400e+02, /* 0x436846c7 */
+ 1.1767937469e+02, /* 0x42eb5bd7 */
+ 8.3646392822e+00, /* 0x4105d590 */
+};
+
+#ifdef __STDC__
+ static float ponef(float x)
+#else
+ static float ponef(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pr8; q= ps8;}
+ else if(ix>=0x40f71c58){p = pr5; q= ps5;}
+ else if(ix>=0x4036db68){p = pr3; q= ps3;}
+ else if(ix>=0x40000000){p = pr2; q= ps2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ -1.0253906250e-01, /* 0xbdd20000 */
+ -1.6271753311e+01, /* 0xc1822c8d */
+ -7.5960174561e+02, /* 0xc43de683 */
+ -1.1849806641e+04, /* 0xc639273a */
+ -4.8438511719e+04, /* 0xc73d3683 */
+};
+#ifdef __STDC__
+static const float qs8[6] = {
+#else
+static float qs8[6] = {
+#endif
+ 1.6139537048e+02, /* 0x43216537 */
+ 7.8253862305e+03, /* 0x45f48b17 */
+ 1.3387534375e+05, /* 0x4802bcd6 */
+ 7.1965775000e+05, /* 0x492fb29c */
+ 6.6660125000e+05, /* 0x4922be94 */
+ -2.9449025000e+05, /* 0xc88fcb48 */
+};
+
+#ifdef __STDC__
+static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.0897993405e-11, /* 0xadb7d219 */
+ -1.0253904760e-01, /* 0xbdd1fffe */
+ -8.0564479828e+00, /* 0xc100e736 */
+ -1.8366960144e+02, /* 0xc337ab6b */
+ -1.3731937256e+03, /* 0xc4aba633 */
+ -2.6124443359e+03, /* 0xc523471c */
+};
+#ifdef __STDC__
+static const float qs5[6] = {
+#else
+static float qs5[6] = {
+#endif
+ 8.1276550293e+01, /* 0x42a28d98 */
+ 1.9917987061e+03, /* 0x44f8f98f */
+ 1.7468484375e+04, /* 0x468878f8 */
+ 4.9851425781e+04, /* 0x4742bb6d */
+ 2.7948074219e+04, /* 0x46da5826 */
+ -4.7191835938e+03, /* 0xc5937978 */
+};
+
+#ifdef __STDC__
+static const float qr3[6] = {
+#else
+static float qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.0783124372e-09, /* 0xb1ae7d4f */
+ -1.0253783315e-01, /* 0xbdd1ff5b */
+ -4.6101160049e+00, /* 0xc0938612 */
+ -5.7847221375e+01, /* 0xc267638e */
+ -2.2824453735e+02, /* 0xc3643e9a */
+ -2.1921012878e+02, /* 0xc35b35cb */
+};
+#ifdef __STDC__
+static const float qs3[6] = {
+#else
+static float qs3[6] = {
+#endif
+ 4.7665153503e+01, /* 0x423ea91e */
+ 6.7386511230e+02, /* 0x4428775e */
+ 3.3801528320e+03, /* 0x45534272 */
+ 5.5477290039e+03, /* 0x45ad5dd5 */
+ 1.9031191406e+03, /* 0x44ede3d0 */
+ -1.3520118713e+02, /* 0xc3073381 */
+};
+
+#ifdef __STDC__
+static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.7838172539e-07, /* 0xb43f8932 */
+ -1.0251704603e-01, /* 0xbdd1f475 */
+ -2.7522056103e+00, /* 0xc0302423 */
+ -1.9663616180e+01, /* 0xc19d4f16 */
+ -4.2325313568e+01, /* 0xc2294d1f */
+ -2.1371921539e+01, /* 0xc1aaf9b2 */
+};
+#ifdef __STDC__
+static const float qs2[6] = {
+#else
+static float qs2[6] = {
+#endif
+ 2.9533363342e+01, /* 0x41ec4454 */
+ 2.5298155212e+02, /* 0x437cfb47 */
+ 7.5750280762e+02, /* 0x443d602e */
+ 7.3939318848e+02, /* 0x4438d92a */
+ 1.5594900513e+02, /* 0x431bf2f2 */
+ -4.9594988823e+00, /* 0xc09eb437 */
+};
+
+#ifdef __STDC__
+ static float qonef(float x)
+#else
+ static float qonef(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qr8; q= qs8;}
+ else if(ix>=0x40f71c58){p = qr5; q= qs5;}
+ else if(ix>=0x4036db68){p = qr3; q= qs3;}
+ else if(ix>=0x40000000){p = qr2; q= qs2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return ((float).375 + r/s)/x;
+}
diff --git a/lib/msun/src/e_jn.c b/lib/msun/src/e_jn.c
new file mode 100644
index 0000000..4b8b55d
--- /dev/null
+++ b/lib/msun/src/e_jn.c
@@ -0,0 +1,281 @@
+/* @(#)e_jn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_jn.c,v 1.6 1994/08/18 23:05:37 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_jn(n, x), __ieee754_yn(n, x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *
+ * Special cases:
+ * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About jn(n,x), yn(n,x)
+ * For n=0, j0(x) is called,
+ * for n=1, j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of j0(x) and j1(x).
+ * for n>x, a continued fraction approximation to
+ * j(n,x)/j(n-1,x) is evaluated and then backward
+ * recursion is used starting from a supposed value
+ * for j(n,x). The resulting value of j(0,x) is
+ * compared with the actual value to correct the
+ * supposed value of j(n,x).
+ *
+ * yn(n,x) is similar in all respects, except
+ * that forward recursion is used for all
+ * values of n>1.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+one = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */
+
+#ifdef __STDC__
+static const double zero = 0.00000000000000000000e+00;
+#else
+static double zero = 0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_jn(int n, double x)
+#else
+ double __ieee754_jn(n,x)
+ int n; double x;
+#endif
+{
+ int32_t i,hx,ix,lx, sgn;
+ double a, b, temp, di;
+ double z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0(x));
+ if(n==1) return(__ieee754_j1(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabs(x);
+ if((ix|lx)==0||ix>=0x7ff00000) /* if x is 0 or inf */
+ b = zero;
+ else if((double)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = cos(x)+sin(x); break;
+ case 1: temp = -cos(x)+sin(x); break;
+ case 2: temp = -cos(x)-sin(x); break;
+ case 3: temp = cos(x)-sin(x); break;
+ }
+ b = invsqrtpi*temp/sqrt(x);
+ } else {
+ a = __ieee754_j0(x);
+ b = __ieee754_j1(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((double)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ }
+ } else {
+ if(ix<0x3e100000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (double)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ double t,v;
+ double q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(double)x; h = 2.0/(double)x;
+ q0 = w; z = w+h; q1 = w*z - 1.0; k=1;
+ while(q1<1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_log(fabs(v*tmp));
+ if(tmp<7.09782712893383973096e+02) {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>1e100) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ b = (t*__ieee754_j0(x)/b);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+ double __ieee754_yn(int n, double x)
+#else
+ double __ieee754_yn(n,x)
+ int n; double x;
+#endif
+{
+ int32_t i,hx,ix,lx;
+ int32_t sign;
+ double a, b, temp;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y(n,NaN) is NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<2);
+ }
+ if(n==0) return(__ieee754_y0(x));
+ if(n==1) return(sign*__ieee754_y1(x));
+ if(ix==0x7ff00000) return zero;
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = sin(x)-cos(x); break;
+ case 1: temp = -sin(x)-cos(x); break;
+ case 2: temp = -sin(x)+cos(x); break;
+ case 3: temp = sin(x)+cos(x); break;
+ }
+ b = invsqrtpi*temp/sqrt(x);
+ } else {
+ u_int32_t high;
+ a = __ieee754_y0(x);
+ b = __ieee754_y1(x);
+ /* quit if b is -inf */
+ GET_HIGH_WORD(high,b);
+ for(i=1;i<n&&high!=0xfff00000;i++){
+ temp = b;
+ b = ((double)(i+i)/x)*b - a;
+ GET_HIGH_WORD(high,b);
+ a = temp;
+ }
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/lib/msun/src/e_jnf.c b/lib/msun/src/e_jnf.c
new file mode 100644
index 0000000..edca14a
--- /dev/null
+++ b/lib/msun/src/e_jnf.c
@@ -0,0 +1,212 @@
+/* e_jnf.c -- float version of e_jn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_jnf.c,v 1.2 1994/08/18 23:05:39 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+two = 2.0000000000e+00, /* 0x40000000 */
+one = 1.0000000000e+00; /* 0x3F800000 */
+
+#ifdef __STDC__
+static const float zero = 0.0000000000e+00;
+#else
+static float zero = 0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_jnf(int n, float x)
+#else
+ float __ieee754_jnf(n,x)
+ int n; float x;
+#endif
+{
+ int32_t i,hx,ix, sgn;
+ float a, b, temp, di;
+ float z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if(ix>0x7f800000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0f(x));
+ if(n==1) return(__ieee754_j1f(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabsf(x);
+ if(ix==0||ix>=0x7f800000) /* if x is 0 or inf */
+ b = zero;
+ else if((float)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ a = __ieee754_j0f(x);
+ b = __ieee754_j1f(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((float)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ } else {
+ if(ix<0x30800000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*(float)0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (float)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ float t,v;
+ float q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(float)x; h = (float)2.0/(float)x;
+ q0 = w; z = w+h; q1 = w*z - (float)1.0; k=1;
+ while(q1<(float)1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_logf(fabsf(v*tmp));
+ if(tmp<(float)8.8721679688e+01) {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>(float)1e10) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ b = (t*__ieee754_j0f(x)/b);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+ float __ieee754_ynf(int n, float x)
+#else
+ float __ieee754_ynf(n,x)
+ int n; float x;
+#endif
+{
+ int32_t i,hx,ix,ib;
+ int32_t sign;
+ float a, b, temp;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y(n,NaN) is NaN */
+ if(ix>0x7f800000) return x+x;
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<2);
+ }
+ if(n==0) return(__ieee754_y0f(x));
+ if(n==1) return(sign*__ieee754_y1f(x));
+ if(ix==0x7f800000) return zero;
+
+ a = __ieee754_y0f(x);
+ b = __ieee754_y1f(x);
+ /* quit if b is -inf */
+ GET_FLOAT_WORD(ib,b);
+ for(i=1;i<n&&ib!=0xff800000;i++){
+ temp = b;
+ b = ((float)(i+i)/x)*b - a;
+ GET_FLOAT_WORD(ib,b);
+ a = temp;
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/lib/msun/src/e_lgamma.c b/lib/msun/src/e_lgamma.c
new file mode 100644
index 0000000..04852a2
--- /dev/null
+++ b/lib/msun/src/e_lgamma.c
@@ -0,0 +1,36 @@
+/* @(#)e_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_lgamma.c,v 1.4 1994/08/10 20:31:05 jtc Exp $";
+#endif
+
+/* __ieee754_lgamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double __ieee754_lgamma(double x)
+#else
+ double __ieee754_lgamma(x)
+ double x;
+#endif
+{
+ return __ieee754_lgamma_r(x,&signgam);
+}
diff --git a/lib/msun/src/e_lgamma_r.c b/lib/msun/src/e_lgamma_r.c
new file mode 100644
index 0000000..1b8d0c7
--- /dev/null
+++ b/lib/msun/src/e_lgamma_r.c
@@ -0,0 +1,312 @@
+/* @(#)er_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_lgamma_r.c,v 1.5 1994/08/10 20:31:07 jtc Exp $";
+#endif
+
+/* __ieee754_lgamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method:
+ * 1. Argument Reduction for 0 < x <= 8
+ * Since gamma(1+s)=s*gamma(s), for x in [0,8], we may
+ * reduce x to a number in [1.5,2.5] by
+ * lgamma(1+s) = log(s) + lgamma(s)
+ * for example,
+ * lgamma(7.3) = log(6.3) + lgamma(6.3)
+ * = log(6.3*5.3) + lgamma(5.3)
+ * = log(6.3*5.3*4.3*3.3*2.3) + lgamma(2.3)
+ * 2. Polynomial approximation of lgamma around its
+ * minimun ymin=1.461632144968362245 to maintain monotonicity.
+ * On [ymin-0.23, ymin+0.27] (i.e., [1.23164,1.73163]), use
+ * Let z = x-ymin;
+ * lgamma(x) = -1.214862905358496078218 + z^2*poly(z)
+ * where
+ * poly(z) is a 14 degree polynomial.
+ * 2. Rational approximation in the primary interval [2,3]
+ * We use the following approximation:
+ * s = x-2.0;
+ * lgamma(x) = 0.5*s + s*P(s)/Q(s)
+ * with accuracy
+ * |P/Q - (lgamma(x)-0.5s)| < 2**-61.71
+ * Our algorithms are based on the following observation
+ *
+ * zeta(2)-1 2 zeta(3)-1 3
+ * lgamma(2+s) = s*(1-Euler) + --------- * s - --------- * s + ...
+ * 2 3
+ *
+ * where Euler = 0.5771... is the Euler constant, which is very
+ * close to 0.5.
+ *
+ * 3. For x>=8, we have
+ * lgamma(x)~(x-0.5)log(x)-x+0.5*log(2pi)+1/(12x)-1/(360x**3)+....
+ * (better formula:
+ * lgamma(x)~(x-0.5)*(log(x)-1)-.5*(log(2pi)-1) + ...)
+ * Let z = 1/x, then we approximation
+ * f(z) = lgamma(x) - (x-0.5)(log(x)-1)
+ * by
+ * 3 5 11
+ * w = w0 + w1*z + w2*z + w3*z + ... + w6*z
+ * where
+ * |w - f(z)| < 2**-58.74
+ *
+ * 4. For negative x, since (G is gamma function)
+ * -x*G(-x)*G(x) = pi/sin(pi*x),
+ * we have
+ * G(x) = pi/(sin(pi*x)*(-x)*G(-x))
+ * since G(-x) is positive, sign(G(x)) = sign(sin(pi*x)) for x<0
+ * Hence, for x<0, signgam = sign(sin(pi*x)) and
+ * lgamma(x) = log(|Gamma(x)|)
+ * = log(pi/(|x*sin(pi*x)|)) - lgamma(-x);
+ * Note: one should avoid compute pi*(-x) directly in the
+ * computation of sin(pi*(-x)).
+ *
+ * 5. Special Cases
+ * lgamma(2+s) ~ s*(1-Euler) for tiny s
+ * lgamma(1)=lgamma(2)=0
+ * lgamma(x) ~ -log(x) for tiny x
+ * lgamma(0) = lgamma(inf) = inf
+ * lgamma(-integer) = +-inf
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
+a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
+a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */
+a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */
+a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */
+a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */
+a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */
+a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */
+a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */
+a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */
+a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */
+a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */
+tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */
+tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */
+/* tt = -(tail of tf) */
+tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */
+t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */
+t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */
+t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */
+t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */
+t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */
+t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */
+t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */
+t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */
+t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */
+t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */
+t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */
+t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */
+t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */
+t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */
+t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */
+u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */
+u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */
+u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */
+u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */
+u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */
+v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */
+v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */
+v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */
+v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */
+v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */
+s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */
+s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */
+s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */
+s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */
+s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */
+s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */
+r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */
+r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */
+r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */
+r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */
+r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */
+r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */
+w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */
+w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */
+w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */
+w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */
+w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
+w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
+w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
+
+#ifdef __STDC__
+static const double zero= 0.00000000000000000000e+00;
+#else
+static double zero= 0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+ static double sin_pi(double x)
+#else
+ static double sin_pi(x)
+ double x;
+#endif
+{
+ double y,z;
+ int n,ix;
+
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0);
+ y = -x; /* x is assume negative */
+
+ /*
+ * argument reduction, make sure inexact flag not raised if input
+ * is an integer
+ */
+ z = floor(y);
+ if(z!=y) { /* inexact anyway */
+ y *= 0.5;
+ y = 2.0*(y - floor(y)); /* y = |x| mod 2.0 */
+ n = (int) (y*4.0);
+ } else {
+ if(ix>=0x43400000) {
+ y = zero; n = 0; /* y must be even */
+ } else {
+ if(ix<0x43300000) z = y+two52; /* exact */
+ GET_LOW_WORD(n,z);
+ n &= 1;
+ y = n;
+ n<<= 2;
+ }
+ }
+ switch (n) {
+ case 0: y = __kernel_sin(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cos(pi*(0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sin(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cos(pi*(y-1.5),zero); break;
+ default: y = __kernel_sin(pi*(y-2.0),zero,0); break;
+ }
+ return -y;
+}
+
+
+#ifdef __STDC__
+ double __ieee754_lgamma_r(double x, int *signgamp)
+#else
+ double __ieee754_lgamma_r(x,signgamp)
+ double x; int *signgamp;
+#endif
+{
+ double t,y,z,nadj,p,p1,p2,p3,q,r,w;
+ int i,hx,lx,ix;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ /* purge off +-inf, NaN, +-0, and negative arguments */
+ *signgamp = 1;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x*x;
+ if((ix|lx)==0) return one/zero;
+ if(ix<0x3b900000) { /* |x|<2**-70, return -log(|x|) */
+ if(hx<0) {
+ *signgamp = -1;
+ return -__ieee754_log(-x);
+ } else return -__ieee754_log(x);
+ }
+ if(hx<0) {
+ if(ix>=0x43300000) /* |x|>=2**52, must be -integer */
+ return one/zero;
+ t = sin_pi(x);
+ if(t==zero) return one/zero; /* -integer */
+ nadj = __ieee754_log(pi/fabs(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge off 1 and 2 */
+ if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_log(x);
+ if(ix>=0x3FE76944) {y = one-x; i= 0;}
+ else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += (p-0.5*y); break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += (tf + p); break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += (-0.5*y + p1/p2);
+ }
+ }
+ else if(ix<0x40200000) { /* x < 8.0 */
+ i = (int)x;
+ t = zero;
+ y = x-(double)i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = half*y+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6.0); /* FALLTHRU */
+ case 6: z *= (y+5.0); /* FALLTHRU */
+ case 5: z *= (y+4.0); /* FALLTHRU */
+ case 4: z *= (y+3.0); /* FALLTHRU */
+ case 3: z *= (y+2.0); /* FALLTHRU */
+ r += __ieee754_log(z); break;
+ }
+ /* 8.0 <= x < 2**58 */
+ } else if (ix < 0x43900000) {
+ t = __ieee754_log(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**58 <= x <= inf */
+ r = x*(__ieee754_log(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
diff --git a/lib/msun/src/e_lgammaf.c b/lib/msun/src/e_lgammaf.c
new file mode 100644
index 0000000..c65b29b
--- /dev/null
+++ b/lib/msun/src/e_lgammaf.c
@@ -0,0 +1,39 @@
+/* e_lgammaf.c -- float version of e_lgamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_lgammaf.c,v 1.1 1994/08/10 20:31:08 jtc Exp $";
+#endif
+
+/* __ieee754_lgammaf(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ float __ieee754_lgammaf(float x)
+#else
+ float __ieee754_lgammaf(x)
+ float x;
+#endif
+{
+ return __ieee754_lgammaf_r(x,&signgam);
+}
diff --git a/lib/msun/src/e_lgammaf_r.c b/lib/msun/src/e_lgammaf_r.c
new file mode 100644
index 0000000..9765002
--- /dev/null
+++ b/lib/msun/src/e_lgammaf_r.c
@@ -0,0 +1,248 @@
+/* e_lgammaf_r.c -- float version of e_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_lgammaf_r.c,v 1.1 1994/08/10 20:31:09 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two23= 8.3886080000e+06, /* 0x4b000000 */
+half= 5.0000000000e-01, /* 0x3f000000 */
+one = 1.0000000000e+00, /* 0x3f800000 */
+pi = 3.1415927410e+00, /* 0x40490fdb */
+a0 = 7.7215664089e-02, /* 0x3d9e233f */
+a1 = 3.2246702909e-01, /* 0x3ea51a66 */
+a2 = 6.7352302372e-02, /* 0x3d89f001 */
+a3 = 2.0580807701e-02, /* 0x3ca89915 */
+a4 = 7.3855509982e-03, /* 0x3bf2027e */
+a5 = 2.8905137442e-03, /* 0x3b3d6ec6 */
+a6 = 1.1927076848e-03, /* 0x3a9c54a1 */
+a7 = 5.1006977446e-04, /* 0x3a05b634 */
+a8 = 2.2086278477e-04, /* 0x39679767 */
+a9 = 1.0801156895e-04, /* 0x38e28445 */
+a10 = 2.5214456400e-05, /* 0x37d383a2 */
+a11 = 4.4864096708e-05, /* 0x383c2c75 */
+tc = 1.4616321325e+00, /* 0x3fbb16c3 */
+tf = -1.2148628384e-01, /* 0xbdf8cdcd */
+/* tt = -(tail of tf) */
+tt = 6.6971006518e-09, /* 0x31e61c52 */
+t0 = 4.8383611441e-01, /* 0x3ef7b95e */
+t1 = -1.4758771658e-01, /* 0xbe17213c */
+t2 = 6.4624942839e-02, /* 0x3d845a15 */
+t3 = -3.2788541168e-02, /* 0xbd064d47 */
+t4 = 1.7970675603e-02, /* 0x3c93373d */
+t5 = -1.0314224288e-02, /* 0xbc28fcfe */
+t6 = 6.1005386524e-03, /* 0x3bc7e707 */
+t7 = -3.6845202558e-03, /* 0xbb7177fe */
+t8 = 2.2596477065e-03, /* 0x3b141699 */
+t9 = -1.4034647029e-03, /* 0xbab7f476 */
+t10 = 8.8108185446e-04, /* 0x3a66f867 */
+t11 = -5.3859531181e-04, /* 0xba0d3085 */
+t12 = 3.1563205994e-04, /* 0x39a57b6b */
+t13 = -3.1275415677e-04, /* 0xb9a3f927 */
+t14 = 3.3552918467e-04, /* 0x39afe9f7 */
+u0 = -7.7215664089e-02, /* 0xbd9e233f */
+u1 = 6.3282704353e-01, /* 0x3f2200f4 */
+u2 = 1.4549225569e+00, /* 0x3fba3ae7 */
+u3 = 9.7771751881e-01, /* 0x3f7a4bb2 */
+u4 = 2.2896373272e-01, /* 0x3e6a7578 */
+u5 = 1.3381091878e-02, /* 0x3c5b3c5e */
+v1 = 2.4559779167e+00, /* 0x401d2ebe */
+v2 = 2.1284897327e+00, /* 0x4008392d */
+v3 = 7.6928514242e-01, /* 0x3f44efdf */
+v4 = 1.0422264785e-01, /* 0x3dd572af */
+v5 = 3.2170924824e-03, /* 0x3b52d5db */
+s0 = -7.7215664089e-02, /* 0xbd9e233f */
+s1 = 2.1498242021e-01, /* 0x3e5c245a */
+s2 = 3.2577878237e-01, /* 0x3ea6cc7a */
+s3 = 1.4635047317e-01, /* 0x3e15dce6 */
+s4 = 2.6642270386e-02, /* 0x3cda40e4 */
+s5 = 1.8402845599e-03, /* 0x3af135b4 */
+s6 = 3.1947532989e-05, /* 0x3805ff67 */
+r1 = 1.3920053244e+00, /* 0x3fb22d3b */
+r2 = 7.2193557024e-01, /* 0x3f38d0c5 */
+r3 = 1.7193385959e-01, /* 0x3e300f6e */
+r4 = 1.8645919859e-02, /* 0x3c98bf54 */
+r5 = 7.7794247773e-04, /* 0x3a4beed6 */
+r6 = 7.3266842264e-06, /* 0x36f5d7bd */
+w0 = 4.1893854737e-01, /* 0x3ed67f1d */
+w1 = 8.3333335817e-02, /* 0x3daaaaab */
+w2 = -2.7777778450e-03, /* 0xbb360b61 */
+w3 = 7.9365057172e-04, /* 0x3a500cfd */
+w4 = -5.9518753551e-04, /* 0xba1c065c */
+w5 = 8.3633989561e-04, /* 0x3a5b3dd2 */
+w6 = -1.6309292987e-03; /* 0xbad5c4e8 */
+
+#ifdef __STDC__
+static const float zero= 0.0000000000e+00;
+#else
+static float zero= 0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+ static float sin_pif(float x)
+#else
+ static float sin_pif(x)
+ float x;
+#endif
+{
+ float y,z;
+ int n,ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
+ y = -x; /* x is assume negative */
+
+ /*
+ * argument reduction, make sure inexact flag not raised if input
+ * is an integer
+ */
+ z = floorf(y);
+ if(z!=y) { /* inexact anyway */
+ y *= (float)0.5;
+ y = (float)2.0*(y - floorf(y)); /* y = |x| mod 2.0 */
+ n = (int) (y*(float)4.0);
+ } else {
+ if(ix>=0x4b800000) {
+ y = zero; n = 0; /* y must be even */
+ } else {
+ if(ix<0x4b000000) z = y+two23; /* exact */
+ GET_FLOAT_WORD(n,z);
+ n &= 1;
+ y = n;
+ n<<= 2;
+ }
+ }
+ switch (n) {
+ case 0: y = __kernel_sinf(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cosf(pi*((float)0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sinf(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
+ default: y = __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
+ }
+ return -y;
+}
+
+
+#ifdef __STDC__
+ float __ieee754_lgammaf_r(float x, int *signgamp)
+#else
+ float __ieee754_lgammaf_r(x,signgamp)
+ float x; int *signgamp;
+#endif
+{
+ float t,y,z,nadj,p,p1,p2,p3,q,r,w;
+ int i,hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+
+ /* purge off +-inf, NaN, +-0, and negative arguments */
+ *signgamp = 1;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x*x;
+ if(ix==0) return one/zero;
+ if(ix<0x1c800000) { /* |x|<2**-70, return -log(|x|) */
+ if(hx<0) {
+ *signgamp = -1;
+ return -__ieee754_logf(-x);
+ } else return -__ieee754_logf(x);
+ }
+ if(hx<0) {
+ if(ix>=0x4b000000) /* |x|>=2**23, must be -integer */
+ return one/zero;
+ t = sin_pif(x);
+ if(t==zero) return one/zero; /* -integer */
+ nadj = __ieee754_logf(pi/fabsf(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge off 1 and 2 */
+ if (ix==0x3f800000||ix==0x40000000) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_logf(x);
+ if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
+ else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += (p-(float)0.5*y); break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += (tf + p); break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += (-(float)0.5*y + p1/p2);
+ }
+ }
+ else if(ix<0x41000000) { /* x < 8.0 */
+ i = (int)x;
+ t = zero;
+ y = x-(float)i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = half*y+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+(float)6.0); /* FALLTHRU */
+ case 6: z *= (y+(float)5.0); /* FALLTHRU */
+ case 5: z *= (y+(float)4.0); /* FALLTHRU */
+ case 4: z *= (y+(float)3.0); /* FALLTHRU */
+ case 3: z *= (y+(float)2.0); /* FALLTHRU */
+ r += __ieee754_logf(z); break;
+ }
+ /* 8.0 <= x < 2**58 */
+ } else if (ix < 0x5c800000) {
+ t = __ieee754_logf(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**58 <= x <= inf */
+ r = x*(__ieee754_logf(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
diff --git a/lib/msun/src/e_log.c b/lib/msun/src/e_log.c
new file mode 100644
index 0000000..222152d
--- /dev/null
+++ b/lib/msun/src/e_log.c
@@ -0,0 +1,146 @@
+/* @(#)e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_log.c,v 1.6 1994/08/18 23:05:41 jtc Exp $";
+#endif
+
+/* __ieee754_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 "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+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 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_log(double x)
+#else
+ double __ieee754_log(x)
+ double x;
+#endif
+{
+ 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/zero; /* 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) { /* |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);
+ }
+}
diff --git a/lib/msun/src/e_log10.c b/lib/msun/src/e_log10.c
new file mode 100644
index 0000000..3e27b1c
--- /dev/null
+++ b/lib/msun/src/e_log10.c
@@ -0,0 +1,99 @@
+/* @(#)e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_log10.c,v 1.6 1994/08/18 23:05:44 jtc Exp $";
+#endif
+
+/* __ieee754_log10(x)
+ * Return the base 10 logarithm of x
+ *
+ * Method :
+ * Let log10_2hi = leading 40 bits of log10(2) and
+ * log10_2lo = log10(2) - log10_2hi,
+ * ivln10 = 1/log(10) rounded.
+ * Then
+ * n = ilogb(x),
+ * if(n<0) n = n+1;
+ * x = scalbn(x,-n);
+ * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x))
+ *
+ * Note 1:
+ * To guarantee log10(10**n)=n, where 10**n is normal, the rounding
+ * mode must set to Round-to-Nearest.
+ * Note 2:
+ * [1/log(10)] rounded to 53 bits has error .198 ulps;
+ * log10 is monotonic at all binary break points.
+ *
+ * Special cases:
+ * log10(x) is NaN with signal if x < 0;
+ * log10(+INF) is +INF with no signal; log10(0) is -INF with signal;
+ * log10(NaN) is that NaN with no signal;
+ * log10(10**N) = N for N=0,1,...,22.
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following constants.
+ * The decimal values may be used, provided that the compiler will convert
+ * from decimal to binary accurately enough to produce the hexadecimal values
+ * shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ivln10 = 4.34294481903251816668e-01, /* 0x3FDBCB7B, 0x1526E50E */
+log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
+log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_log10(double x)
+#else
+ double __ieee754_log10(x)
+ double x;
+#endif
+{
+ double y,z;
+ 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/zero; /* 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;
+ i = ((u_int32_t)k&0x80000000)>>31;
+ hx = (hx&0x000fffff)|((0x3ff-i)<<20);
+ y = (double)(k+i);
+ SET_HIGH_WORD(x,hx);
+ z = y*log10_2lo + ivln10*__ieee754_log(x);
+ return z+y*log10_2hi;
+}
diff --git a/lib/msun/src/e_log10f.c b/lib/msun/src/e_log10f.c
new file mode 100644
index 0000000..9ac22b5
--- /dev/null
+++ b/lib/msun/src/e_log10f.c
@@ -0,0 +1,68 @@
+/* e_log10f.c -- float version of e_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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_log10f.c,v 1.2 1994/08/18 23:05:46 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+two25 = 3.3554432000e+07, /* 0x4c000000 */
+ivln10 = 4.3429449201e-01, /* 0x3ede5bd9 */
+log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */
+log10_2lo = 7.9034151668e-07; /* 0x355427db */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_log10f(float x)
+#else
+ float __ieee754_log10f(x)
+ float x;
+#endif
+{
+ float y,z;
+ int32_t i,k,hx;
+
+ GET_FLOAT_WORD(hx,x);
+
+ k=0;
+ if (hx < 0x00800000) { /* x < 2**-126 */
+ if ((hx&0x7fffffff)==0)
+ return -two25/zero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(hx,x);
+ }
+ if (hx >= 0x7f800000) return x+x;
+ k += (hx>>23)-127;
+ i = ((u_int32_t)k&0x80000000)>>31;
+ hx = (hx&0x007fffff)|((0x7f-i)<<23);
+ y = (float)(k+i);
+ SET_FLOAT_WORD(x,hx);
+ z = y*log10_2lo + ivln10*__ieee754_logf(x);
+ return z+y*log10_2hi;
+}
diff --git a/lib/msun/src/e_logf.c b/lib/msun/src/e_logf.c
new file mode 100644
index 0000000..b18bc76
--- /dev/null
+++ b/lib/msun/src/e_logf.c
@@ -0,0 +1,97 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_logf.c,v 1.2 1994/08/18 23:05:48 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lg1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lg2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lg3 = 2.8571429849e-01, /* 3E924925 */
+Lg4 = 2.2222198546e-01, /* 3E638E29 */
+Lg5 = 1.8183572590e-01, /* 3E3A3325 */
+Lg6 = 1.5313838422e-01, /* 3E1CD04F */
+Lg7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_logf(float x)
+#else
+ float __ieee754_logf(x)
+ float x;
+#endif
+{
+ 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/zero; /* 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&(15+ix))<16) { /* |f| < 2**-20 */
+ 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+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ 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/lib/msun/src/e_pow.c b/lib/msun/src/e_pow.c
new file mode 100644
index 0000000..80ac795
--- /dev/null
+++ b/lib/msun/src/e_pow.c
@@ -0,0 +1,312 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_pow.c,v 1.5 1994/08/18 23:05:51 jtc Exp $";
+#endif
+
+/* __ieee754_pow(x,y) return x**y
+ *
+ * n
+ * Method: Let x = 2 * (1+f)
+ * 1. Compute and return log2(x) in two pieces:
+ * log2(x) = w1 + w2,
+ * where w1 has 53-24 = 29 bit trailing zeros.
+ * 2. Perform y*log2(x) = n+y' by simulating muti-precision
+ * arithmetic, where |y'|<=0.5.
+ * 3. Return x**y = 2**n*exp(y'*log2)
+ *
+ * Special cases:
+ * 1. (anything) ** 0 is 1
+ * 2. (anything) ** 1 is itself
+ * 3. (anything) ** NAN is NAN
+ * 4. NAN ** (anything except 0) is NAN
+ * 5. +-(|x| > 1) ** +INF is +INF
+ * 6. +-(|x| > 1) ** -INF is +0
+ * 7. +-(|x| < 1) ** +INF is +0
+ * 8. +-(|x| < 1) ** -INF is +INF
+ * 9. +-1 ** +-INF is NAN
+ * 10. +0 ** (+anything except 0, NAN) is +0
+ * 11. -0 ** (+anything except 0, NAN, odd integer) is +0
+ * 12. +0 ** (-anything except 0, NAN) is +INF
+ * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
+ * 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
+ * 15. +INF ** (+anything except 0,NAN) is +INF
+ * 16. +INF ** (-anything except 0,NAN) is +0
+ * 17. -INF ** (anything) = -0 ** (-anything)
+ * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
+ * 19. (-anything except 0 and inf) ** (non-integer) is NAN
+ *
+ * Accuracy:
+ * pow(x,y) returns x**y nearly rounded. In particular
+ * pow(integer,integer)
+ * always returns the correct integer provided it is
+ * representable.
+ *
+ * Constants :
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
+huge = 1.0e300,
+tiny = 1.0e-300,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
+L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
+L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
+L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
+L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
+L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
+lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
+lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
+ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
+cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
+cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
+cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
+ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
+ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
+ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
+
+#ifdef __STDC__
+ double __ieee754_pow(double x, double y)
+#else
+ double __ieee754_pow(x,y)
+ double x, y;
+#endif
+{
+ double z,ax,z_h,z_l,p_h,p_l;
+ double y1,t1,t2,r,s,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if((iy|ly)==0) return one;
+
+ /* +-NaN return x+y */
+ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+ iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+ return x+y;
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x43400000) yisint = 2; /* even integer y */
+ else if(iy>=0x3ff00000) {
+ k = (iy>>20)-0x3ff; /* exponent */
+ if(k>20) {
+ j = ly>>(52-k);
+ if((j<<(52-k))==ly) yisint = 2-(j&1);
+ } else if(ly==0) {
+ j = iy>>(20-k);
+ if((j<<(20-k))==iy) yisint = 2-(j&1);
+ }
+ }
+ }
+
+ /* special value of y */
+ if(ly==0) {
+ if (iy==0x7ff00000) { /* y is +-inf */
+ if(((ix-0x3ff00000)|lx)==0)
+ return y - y; /* inf**+-1 is NaN */
+ else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3fe00000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return sqrt(x);
+ }
+ }
+
+ ax = fabs(x);
+ /* special value of x */
+ if(lx==0) {
+ if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3ff00000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+ }
+
+ /* (x<0)**(non-int) is NaN */
+ /* CYGNUS 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(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+ /* |y| is huge */
+ if(iy>0x41e00000) { /* if |y| > 2**31 */
+ if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */
+ if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+ }
+ /* over/underflow if x is not close to one */
+ if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = x-1; /* t has 20 trailing zeros */
+ w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+ u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ SET_LOW_WORD(t1,0);
+ t2 = v-(t1-u);
+ } else {
+ double s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); }
+ n += ((ix)>>20)-0x3ff;
+ j = ix&0x000fffff;
+ /* determine interval */
+ ix = j|0x3ff00000; /* normalize ix */
+ if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00100000;}
+ SET_HIGH_WORD(ax,ix);
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ SET_LOW_WORD(s_h,0);
+ /* t_h=ax+bp[k] High */
+ t_h = zero;
+ SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = s*s;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+s);
+ s2 = s_h*s_h;
+ t_h = 3.0+s2+r;
+ SET_LOW_WORD(t_h,0);
+ t_l = r-((t_h-3.0)-s2);
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*s;
+ /* 2/(3log2)*(s+...) */
+ p_h = u+v;
+ SET_LOW_WORD(p_h,0);
+ p_l = v-(p_h-u);
+ z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = cp_l*p_h+p_l*cp+dp_l[k];
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (double)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ SET_LOW_WORD(t1,0);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+ s = -one;/* (-ve)**(odd int) */
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ y1 = y;
+ SET_LOW_WORD(y1,0);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ EXTRACT_WORDS(j,i,z);
+ if (j>=0x40900000) { /* z >= 1024 */
+ if(((j-0x40900000)|i)!=0) /* if z > 1024 */
+ return s*huge*huge; /* overflow */
+ else {
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
+ if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
+ return s*tiny*tiny; /* underflow */
+ else {
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>20)-0x3ff;
+ n = 0;
+ if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00100000>>(k+1));
+ k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
+ t = zero;
+ SET_HIGH_WORD(t,n&~(0x000fffff>>k));
+ n = ((n&0x000fffff)|0x00100000)>>(20-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ SET_LOW_WORD(t,0);
+ u = t*lg2_h;
+ v = (p_l-(t-p_h))*lg2+t*lg2_l;
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+ t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ r = (z*t1)/(t1-two)-(w+z*w);
+ z = one-(r-z);
+ GET_HIGH_WORD(j,z);
+ j += (n<<20);
+ if((j>>20)<=0) z = scalbn(z,n); /* subnormal output */
+ else SET_HIGH_WORD(z,j);
+ return s*z;
+}
diff --git a/lib/msun/src/e_powf.c b/lib/msun/src/e_powf.c
new file mode 100644
index 0000000..2d1ef4a
--- /dev/null
+++ b/lib/msun/src/e_powf.c
@@ -0,0 +1,253 @@
+/* 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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_powf.c,v 1.2 1994/08/18 23:05:54 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
+dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two24 = 16777216.0, /* 0x4b800000 */
+huge = 1.0e30,
+tiny = 1.0e-30,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 6.0000002384e-01, /* 0x3f19999a */
+L2 = 4.2857143283e-01, /* 0x3edb6db7 */
+L3 = 3.3333334327e-01, /* 0x3eaaaaab */
+L4 = 2.7272811532e-01, /* 0x3e8ba305 */
+L5 = 2.3066075146e-01, /* 0x3e6c3255 */
+L6 = 2.0697501302e-01, /* 0x3e53f142 */
+P1 = 1.6666667163e-01, /* 0x3e2aaaab */
+P2 = -2.7777778450e-03, /* 0xbb360b61 */
+P3 = 6.6137559770e-05, /* 0x388ab355 */
+P4 = -1.6533901999e-06, /* 0xb5ddea0e */
+P5 = 4.1381369442e-08, /* 0x3331bb4c */
+lg2 = 6.9314718246e-01, /* 0x3f317218 */
+lg2_h = 6.93145752e-01, /* 0x3f317200 */
+lg2_l = 1.42860654e-06, /* 0x35bfbe8c */
+ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
+cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
+cp_h = 9.6179199219e-01, /* 0x3f763800 =head of cp */
+cp_l = 4.7017383622e-06, /* 0x369dc3a0 =tail of cp_h */
+ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
+ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
+ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
+
+#ifdef __STDC__
+ float __ieee754_powf(float x, float y)
+#else
+ float __ieee754_powf(x,y)
+ float x, y;
+#endif
+{
+ float z,ax,z_h,z_l,p_h,p_l;
+ float y1,t1,t2,r,s,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy,is;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if(iy==0) return one;
+
+ /* +-NaN return x+y */
+ if(ix > 0x7f800000 ||
+ iy > 0x7f800000)
+ return x+y;
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x4b800000) yisint = 2; /* even integer y */
+ else if(iy>=0x3f800000) {
+ k = (iy>>23)-0x7f; /* exponent */
+ j = iy>>(23-k);
+ if((j<<(23-k))==iy) yisint = 2-(j&1);
+ }
+ }
+
+ /* special value of y */
+ if (iy==0x7f800000) { /* y is +-inf */
+ if (ix==0x3f800000)
+ return y - y; /* inf**+-1 is NaN */
+ else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3f800000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3f000000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return sqrtf(x);
+ }
+
+ ax = fabsf(x);
+ /* special value of x */
+ if(ix==0x7f800000||ix==0||ix==0x3f800000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3f800000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+
+ /* (x<0)**(non-int) is NaN */
+ if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+ /* |y| is huge */
+ if(iy>0x4d000000) { /* if |y| > 2**27 */
+ /* over/underflow if x is not close to one */
+ if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = x-1; /* t has 20 trailing zeros */
+ w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25));
+ u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = v-(t1-u);
+ } else {
+ float s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00800000)
+ {ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
+ n += ((ix)>>23)-0x7f;
+ j = ix&0x007fffff;
+ /* determine interval */
+ ix = j|0x3f800000; /* normalize ix */
+ if(j<=0x1cc471) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0x5db3d7) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00800000;}
+ SET_FLOAT_WORD(ax,ix);
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ GET_FLOAT_WORD(is,s_h);
+ SET_FLOAT_WORD(s_h,is&0xfffff000);
+ /* t_h=ax+bp[k] High */
+ SET_FLOAT_WORD(t_h,((ix>>1)|0x20000000)+0x0040000+(k<<21));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = s*s;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+s);
+ s2 = s_h*s_h;
+ t_h = (float)3.0+s2+r;
+ GET_FLOAT_WORD(is,t_h);
+ SET_FLOAT_WORD(t_h,is&0xfffff000);
+ t_l = r-((t_h-(float)3.0)-s2);
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*s;
+ /* 2/(3log2)*(s+...) */
+ p_h = u+v;
+ GET_FLOAT_WORD(is,p_h);
+ SET_FLOAT_WORD(p_h,is&0xfffff000);
+ p_l = v-(p_h-u);
+ z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = cp_l*p_h+p_l*cp+dp_l[k];
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (float)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+ s = -one; /* (-ve)**(odd int) */
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ GET_FLOAT_WORD(is,y);
+ SET_FLOAT_WORD(y1,is&0xfffff000);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ GET_FLOAT_WORD(j,z);
+ if (j>0x43000000) /* if z > 128 */
+ return s*huge*huge; /* overflow */
+ else if (j==0x43000000) { /* if z == 128 */
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ else if ((j&0x7fffffff)>0x43160000) /* z <= -150 */
+ return s*tiny*tiny; /* underflow */
+ else if (j==0xc3160000){ /* z == -150 */
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>23)-0x7f;
+ n = 0;
+ if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00800000>>(k+1));
+ k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */
+ SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
+ n = ((n&0x007fffff)|0x00800000)>>(23-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ GET_FLOAT_WORD(is,t);
+ SET_FLOAT_WORD(t,is&0xfffff000);
+ u = t*lg2_h;
+ v = (p_l-(t-p_h))*lg2+t*lg2_l;
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+ t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ r = (z*t1)/(t1-two)-(w+z*w);
+ z = one-(r-z);
+ GET_FLOAT_WORD(j,z);
+ j += (n<<23);
+ if((j>>23)<=0) z = scalbnf(z,n); /* subnormal output */
+ else SET_FLOAT_WORD(z,j);
+ return s*z;
+}
diff --git a/lib/msun/src/e_rem_pio2.c b/lib/msun/src/e_rem_pio2.c
new file mode 100644
index 0000000..bf8bfe1
--- /dev/null
+++ b/lib/msun/src/e_rem_pio2.c
@@ -0,0 +1,158 @@
+/* @(#)e_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_rem_pio2.c,v 1.5 1994/08/18 23:05:56 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
+};
+
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
+0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
+0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
+0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
+0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
+0x404858EB, 0x404921FB,
+};
+
+/*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 33 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 33 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 33 bit of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+
+#ifdef __STDC__
+ int32_t __ieee754_rem_pio2(double x, double *y)
+#else
+ int32_t __ieee754_rem_pio2(x,y)
+ double x,y[];
+#endif
+{
+ double z,w,t,r,fn;
+ double tx[3];
+ int32_t e0,i,j,nx,n,ix,hx;
+ u_int32_t low;
+
+ GET_HIGH_WORD(hx,x); /* high word of x */
+ ix = hx&0x7fffffff;
+ if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+ if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
+ t = fabs(x);
+ n = (int32_t) (t*invpio2+half);
+ fn = (double)n;
+ r = t-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 85 bit */
+ if(n<32&&ix!=npio2_hw[n-1]) {
+ y[0] = r-w; /* quick check no cancellation */
+ } else {
+ u_int32_t high;
+ j = ix>>20;
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>16) { /* 2nd iteration needed, good to 118 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>49) { /* 3rd iteration need, 151 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ else return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7ff00000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-23) */
+ GET_LOW_WORD(low,x);
+ SET_LOW_WORD(z,low);
+ e0 = (ix>>20)-1046; /* e0 = ilogb(z)-23; */
+ SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));
+ for(i=0;i<2;i++) {
+ tx[i] = (double)((int32_t)(z));
+ z = (z-tx[i])*two24;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ return n;
+}
diff --git a/lib/msun/src/e_rem_pio2f.c b/lib/msun/src/e_rem_pio2f.c
new file mode 100644
index 0000000..eae6473
--- /dev/null
+++ b/lib/msun/src/e_rem_pio2f.c
@@ -0,0 +1,171 @@
+/* e_rem_pio2f.c -- float version of e_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.2 1994/08/18 23:05:58 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2f(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2f()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
+0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62,
+0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
+0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A,
+0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
+0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29,
+0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
+0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41,
+0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
+0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8,
+0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
+0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF,
+0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
+0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5,
+0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
+0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08,
+0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
+0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3,
+0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
+0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80,
+0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
+0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B,
+};
+
+/* This array is like the one in e_rem_pio2.c, but the numbers are
+ single precision and the last 8 bits are forced to 0. */
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
+0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
+0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
+0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
+0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
+0x4242c700, 0x42490f00
+};
+
+/*
+ * invpio2: 24 bits of 2/pi
+ * pio2_1: first 17 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 17 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 17 bit of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+zero = 0.0000000000e+00, /* 0x00000000 */
+half = 5.0000000000e-01, /* 0x3f000000 */
+two8 = 2.5600000000e+02, /* 0x43800000 */
+invpio2 = 6.3661980629e-01, /* 0x3f22f984 */
+pio2_1 = 1.5707855225e+00, /* 0x3fc90f80 */
+pio2_1t = 1.0804334124e-05, /* 0x37354443 */
+pio2_2 = 1.0804273188e-05, /* 0x37354400 */
+pio2_2t = 6.0770999344e-11, /* 0x2e85a308 */
+pio2_3 = 6.0770943833e-11, /* 0x2e85a300 */
+pio2_3t = 6.1232342629e-17; /* 0x248d3132 */
+
+#ifdef __STDC__
+ int32_t __ieee754_rem_pio2f(float x, float *y)
+#else
+ int32_t __ieee754_rem_pio2f(x,y)
+ float x,y[];
+#endif
+{
+ float z,w,t,r,fn;
+ float tx[3];
+ int32_t e0,i,j,nx,n,ix,hx;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+ if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
+ t = fabsf(x);
+ n = (int32_t) (t*invpio2+half);
+ fn = (float)n;
+ r = t-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 40 bit */
+ if(n<32&&(ix&0xffffff00)!=npio2_hw[n-1]) {
+ y[0] = r-w; /* quick check no cancellation */
+ } else {
+ u_int32_t high;
+ j = ix>>23;
+ y[0] = r-w;
+ GET_FLOAT_WORD(high,y[0]);
+ i = j-((high>>23)&0xff);
+ if(i>8) { /* 2nd iteration needed, good to 57 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_FLOAT_WORD(high,y[0]);
+ i = j-((high>>23)&0xff);
+ if(i>25) { /* 3rd iteration need, 74 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ else return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7f800000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-7) */
+ e0 = (ix>>23)-134; /* e0 = ilogb(z)-7; */
+ SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
+ for(i=0;i<2;i++) {
+ tx[i] = (float)((int32_t)(z));
+ z = (z-tx[i])*two8;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ return n;
+}
diff --git a/lib/msun/src/e_remainder.c b/lib/msun/src/e_remainder.c
new file mode 100644
index 0000000..cf82a49
--- /dev/null
+++ b/lib/msun/src/e_remainder.c
@@ -0,0 +1,80 @@
+/* @(#)e_remainder.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_remainder.c,v 1.6 1994/08/18 23:06:00 jtc Exp $";
+#endif
+
+/* __ieee754_remainder(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ double __ieee754_remainder(double x, double p)
+#else
+ double __ieee754_remainder(x,p)
+ double x,p;
+#endif
+{
+ int32_t hx,hp;
+ u_int32_t sx,lx,lp;
+ double p_half;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hp,lp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7ff00000)|| /* x not finite */
+ ((hp>=0x7ff00000)&& /* p is NaN */
+ (((hp-0x7ff00000)|lp)!=0)))
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7fdfffff) x = __ieee754_fmod(x,p+p); /* now x < 2p */
+ if (((hx-hp)|(lx-lp))==0) return zero*x;
+ x = fabs(x);
+ p = fabs(p);
+ if (hp<0x00200000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = 0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_HIGH_WORD(hx,x);
+ SET_HIGH_WORD(x,hx^sx);
+ return x;
+}
diff --git a/lib/msun/src/e_remainderf.c b/lib/msun/src/e_remainderf.c
new file mode 100644
index 0000000..966b216
--- /dev/null
+++ b/lib/msun/src/e_remainderf.c
@@ -0,0 +1,73 @@
+/* e_remainderf.c -- float version of e_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_remainderf.c,v 1.2 1994/08/18 23:06:02 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ float __ieee754_remainderf(float x, float p)
+#else
+ float __ieee754_remainderf(x,p)
+ float x,p;
+#endif
+{
+ int32_t hx,hp;
+ u_int32_t sx;
+ float p_half;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if(hp==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7f800000)|| /* x not finite */
+ ((hp>0x7f800000))) /* p is NaN */
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7effffff) x = __ieee754_fmodf(x,p+p); /* now x < 2p */
+ if ((hx-hp)==0) return zero*x;
+ x = fabsf(x);
+ p = fabsf(p);
+ if (hp<0x01000000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = (float)0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_FLOAT_WORD(hx,x);
+ SET_FLOAT_WORD(x,hx^sx);
+ return x;
+}
diff --git a/lib/msun/src/e_scalb.c b/lib/msun/src/e_scalb.c
new file mode 100644
index 0000000..32a2703
--- /dev/null
+++ b/lib/msun/src/e_scalb.c
@@ -0,0 +1,55 @@
+/* @(#)e_scalb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_scalb.c,v 1.4 1994/08/10 20:31:26 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_scalb(x, fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+ double __ieee754_scalb(double x, int fn)
+#else
+ double __ieee754_scalb(x,fn)
+ double x; int fn;
+#endif
+#else
+#ifdef __STDC__
+ double __ieee754_scalb(double x, double fn)
+#else
+ double __ieee754_scalb(x,fn)
+ double x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+ return scalbn(x,fn);
+#else
+ if (isnan(x)||isnan(fn)) return x*fn;
+ if (!finite(fn)) {
+ if(fn>0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (rint(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > 65000.0) return scalbn(x, 65000);
+ if (-fn > 65000.0) return scalbn(x,-65000);
+ return scalbn(x,(int)fn);
+#endif
+}
diff --git a/lib/msun/src/e_scalbf.c b/lib/msun/src/e_scalbf.c
new file mode 100644
index 0000000..6906c24
--- /dev/null
+++ b/lib/msun/src/e_scalbf.c
@@ -0,0 +1,52 @@
+/* e_scalbf.c -- float version of e_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_scalbf.c,v 1.1 1994/08/10 20:31:27 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+ float __ieee754_scalbf(float x, int fn)
+#else
+ float __ieee754_scalbf(x,fn)
+ float x; int fn;
+#endif
+#else
+#ifdef __STDC__
+ float __ieee754_scalbf(float x, float fn)
+#else
+ float __ieee754_scalbf(x,fn)
+ float x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+ return scalbnf(x,fn);
+#else
+ if (isnanf(x)||isnanf(fn)) return x*fn;
+ if (!finitef(fn)) {
+ if(fn>(float)0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (rintf(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > (float)65000.0) return scalbnf(x, 65000);
+ if (-fn > (float)65000.0) return scalbnf(x,-65000);
+ return scalbnf(x,(int)fn);
+#endif
+}
diff --git a/lib/msun/src/e_sinh.c b/lib/msun/src/e_sinh.c
new file mode 100644
index 0000000..f39019c
--- /dev/null
+++ b/lib/msun/src/e_sinh.c
@@ -0,0 +1,86 @@
+/* @(#)e_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_sinh.c,v 1.5 1994/08/18 23:06:03 jtc Exp $";
+#endif
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, shuge = 1.0e307;
+#else
+static double one = 1.0, shuge = 1.0e307;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_sinh(double x)
+#else
+ double __ieee754_sinh(x)
+ double x;
+#endif
+{
+ double t,w,h;
+ int32_t ix,jx;
+ u_int32_t lx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3e300000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = expm1(fabs(x));
+ if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ GET_LOW_WORD(lx,x);
+ if (ix<0x408633CE || (ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d)) {
+ w = __ieee754_exp(0.5*fabs(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/lib/msun/src/e_sinhf.c b/lib/msun/src/e_sinhf.c
new file mode 100644
index 0000000..5c06440
--- /dev/null
+++ b/lib/msun/src/e_sinhf.c
@@ -0,0 +1,68 @@
+/* e_sinhf.c -- float version of e_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_sinhf.c,v 1.2 1994/08/18 23:06:04 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, shuge = 1.0e37;
+#else
+static float one = 1.0, shuge = 1.0e37;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_sinhf(float x)
+#else
+ float __ieee754_sinhf(x)
+ float x;
+#endif
+{
+ float t,w,h;
+ int32_t ix,jx;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix<0x31800000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = expm1f(fabsf(x));
+ if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x42b17180) return h*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf((float)0.5*fabsf(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/lib/msun/src/e_sqrt.c b/lib/msun/src/e_sqrt.c
new file mode 100644
index 0000000..257f498
--- /dev/null
+++ b/lib/msun/src/e_sqrt.c
@@ -0,0 +1,453 @@
+/* @(#)e_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_sqrt.c,v 1.6 1994/08/18 23:06:06 jtc Exp $";
+#endif
+
+/* __ieee754_sqrt(x)
+ * Return correctly rounded sqrt.
+ * ------------------------------------------
+ * | Use the hardware sqrt if you have one |
+ * ------------------------------------------
+ * Method:
+ * Bit by bit method using integer arithmetic. (Slow, but portable)
+ * 1. Normalization
+ * Scale x to y in [1,4) with even powers of 2:
+ * find an integer k such that 1 <= (y=x*2^(2k)) < 4, then
+ * sqrt(x) = 2^k * sqrt(y)
+ * 2. Bit by bit computation
+ * Let q = sqrt(y) truncated to i bit after binary point (q = 1),
+ * i 0
+ * i+1 2
+ * s = 2*q , and y = 2 * ( y - q ). (1)
+ * i i i i
+ *
+ * To compute q from q , one checks whether
+ * i+1 i
+ *
+ * -(i+1) 2
+ * (q + 2 ) <= y. (2)
+ * i
+ * -(i+1)
+ * If (2) is false, then q = q ; otherwise q = q + 2 .
+ * i+1 i i+1 i
+ *
+ * With some algebric manipulation, it is not difficult to see
+ * that (2) is equivalent to
+ * -(i+1)
+ * s + 2 <= y (3)
+ * i i
+ *
+ * The advantage of (3) is that s and y can be computed by
+ * i i
+ * the following recurrence formula:
+ * if (3) is false
+ *
+ * s = s , y = y ; (4)
+ * i+1 i i+1 i
+ *
+ * otherwise,
+ * -i -(i+1)
+ * s = s + 2 , y = y - s - 2 (5)
+ * i+1 i i+1 i i
+ *
+ * One may easily use induction to prove (4) and (5).
+ * Note. Since the left hand side of (3) contain only i+2 bits,
+ * it does not necessary to do a full (53-bit) comparison
+ * in (3).
+ * 3. Final rounding
+ * After generating the 53 bits result, we compute one more bit.
+ * Together with the remainder, we can decide whether the
+ * result is exact, bigger than 1/2ulp, or less than 1/2ulp
+ * (it will never equal to 1/2ulp).
+ * The rounding mode can be detected by checking whether
+ * huge + tiny is equal to huge, and whether huge - tiny is
+ * equal to huge for some floating point number "huge" and "tiny".
+ *
+ * Special cases:
+ * sqrt(+-0) = +-0 ... exact
+ * sqrt(inf) = inf
+ * sqrt(-ve) = NaN ... with invalid signal
+ * sqrt(NaN) = NaN ... with invalid signal for signaling NaN
+ *
+ * Other methods : see the appended file at the end of the program below.
+ *---------------
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, tiny=1.0e-300;
+#else
+static double one = 1.0, tiny=1.0e-300;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_sqrt(double x)
+#else
+ double __ieee754_sqrt(x)
+ double x;
+#endif
+{
+ double z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix0,s0,q,m,t,i;
+ u_int32_t r,t1,s1,ix1,q1;
+
+ EXTRACT_WORDS(ix0,ix1,x);
+
+ /* take care of Inf and NaN */
+ if((ix0&0x7ff00000)==0x7ff00000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix0<=0) {
+ if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix0<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix0>>20);
+ if(m==0) { /* subnormal x */
+ while(ix0==0) {
+ m -= 21;
+ ix0 |= (ix1>>11); ix1 <<= 21;
+ }
+ for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
+ m -= i-1;
+ ix0 |= (ix1>>(32-i));
+ ix1 <<= i;
+ }
+ m -= 1023; /* unbias exponent */
+ ix0 = (ix0&0x000fffff)|0x00100000;
+ if(m&1){ /* odd m, double x to make it even */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ }
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ q = q1 = s0 = s1 = 0; /* [q,q1] = sqrt(x) */
+ r = 0x00200000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s0+r;
+ if(t<=ix0) {
+ s0 = t+r;
+ ix0 -= t;
+ q += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ r = sign;
+ while(r!=0) {
+ t1 = s1+r;
+ t = s0;
+ if((t<ix0)||((t==ix0)&&(t1<=ix1))) {
+ s1 = t1+r;
+ if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
+ ix0 -= t;
+ if (ix1 < t1) ix0 -= 1;
+ ix1 -= t1;
+ q1 += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if((ix0|ix1)!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
+ else if (z>one) {
+ if (q1==(u_int32_t)0xfffffffe) q+=1;
+ q1+=2;
+ } else
+ q1 += (q1&1);
+ }
+ }
+ ix0 = (q>>1)+0x3fe00000;
+ ix1 = q1>>1;
+ if ((q&1)==1) ix1 |= sign;
+ ix0 += (m <<20);
+ INSERT_WORDS(z,ix0,ix1);
+ return z;
+}
+
+/*
+Other methods (use floating-point arithmetic)
+-------------
+(This is a copy of a drafted paper by Prof W. Kahan
+and K.C. Ng, written in May, 1986)
+
+ Two algorithms are given here to implement sqrt(x)
+ (IEEE double precision arithmetic) in software.
+ Both supply sqrt(x) correctly rounded. The first algorithm (in
+ Section A) uses newton iterations and involves four divisions.
+ The second one uses reciproot iterations to avoid division, but
+ requires more multiplications. Both algorithms need the ability
+ to chop results of arithmetic operations instead of round them,
+ and the INEXACT flag to indicate when an arithmetic operation
+ is executed exactly with no roundoff error, all part of the
+ standard (IEEE 754-1985). The ability to perform shift, add,
+ subtract and logical AND operations upon 32-bit words is needed
+ too, though not part of the standard.
+
+A. sqrt(x) by Newton Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+
+ 1 11 52 ...widths
+ ------------------------------------------------------
+ x: |s| e | f |
+ ------------------------------------------------------
+ msb lsb msb lsb ...order
+
+
+ ------------------------ ------------------------
+ x0: |s| e | f1 | x1: | f2 |
+ ------------------------ ------------------------
+
+ By performing shifts and subtracts on x0 and x1 (both regarded
+ as integers), we obtain an 8-bit approximation of sqrt(x) as
+ follows.
+
+ k := (x0>>1) + 0x1ff80000;
+ y0 := k - T1[31&(k>>15)]. ... y ~ sqrt(x) to 8 bits
+ Here k is a 32-bit integer and T1[] is an integer array containing
+ correction terms. Now magically the floating value of y (y's
+ leading 32-bit word is y0, the value of its trailing word is 0)
+ approximates sqrt(x) to almost 8-bit.
+
+ Value of T1:
+ static int T1[32]= {
+ 0, 1024, 3062, 5746, 9193, 13348, 18162, 23592,
+ 29598, 36145, 43202, 50740, 58733, 67158, 75992, 85215,
+ 83599, 71378, 60428, 50647, 41945, 34246, 27478, 21581,
+ 16499, 12183, 8588, 5674, 3403, 1742, 661, 130,};
+
+ (2) Iterative refinement
+
+ Apply Heron's rule three times to y, we have y approximates
+ sqrt(x) to within 1 ulp (Unit in the Last Place):
+
+ y := (y+x/y)/2 ... almost 17 sig. bits
+ y := (y+x/y)/2 ... almost 35 sig. bits
+ y := y-(y-x/y)/2 ... within 1 ulp
+
+
+ Remark 1.
+ Another way to improve y to within 1 ulp is:
+
+ y := (y+x/y) ... almost 17 sig. bits to 2*sqrt(x)
+ y := y - 0x00100006 ... almost 18 sig. bits to sqrt(x)
+
+ 2
+ (x-y )*y
+ y := y + 2* ---------- ...within 1 ulp
+ 2
+ 3y + x
+
+
+ This formula has one division fewer than the one above; however,
+ it requires more multiplications and additions. Also x must be
+ scaled in advance to avoid spurious overflow in evaluating the
+ expression 3y*y+x. Hence it is not recommended uless division
+ is slow. If division is very slow, then one should use the
+ reciproot algorithm given in section B.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ I := FALSE; ... reset INEXACT flag I
+ R := RZ; ... set rounding mode to round-toward-zero
+ z := x/y; ... chopped quotient, possibly inexact
+ If(not I) then { ... if the quotient is exact
+ if(z=y) {
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+ } else {
+ z := z - ulp; ... special rounding
+ }
+ }
+ i := TRUE; ... sqrt(x) is inexact
+ If (r=RN) then z=z+ulp ... rounded-to-nearest
+ If (r=RP) then { ... round-toward-+inf
+ y = y+ulp; z=z+ulp;
+ }
+ y := y+z; ... chopped sum
+ y0:=y0-0x00100000; ... y := y/2 is correctly rounded.
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+
+ (4) Special cases
+
+ Square root of +inf, +-0, or NaN is itself;
+ Square root of a negative number is NaN with invalid signal.
+
+
+B. sqrt(x) by Reciproot Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+ (see section A). By performing shifs and subtracts on x0 and y0,
+ we obtain a 7.8-bit approximation of 1/sqrt(x) as follows.
+
+ k := 0x5fe80000 - (x0>>1);
+ y0:= k - T2[63&(k>>14)]. ... y ~ 1/sqrt(x) to 7.8 bits
+
+ Here k is a 32-bit integer and T2[] is an integer array
+ containing correction terms. Now magically the floating
+ value of y (y's leading 32-bit word is y0, the value of
+ its trailing word y1 is set to zero) approximates 1/sqrt(x)
+ to almost 7.8-bit.
+
+ Value of T2:
+ static int T2[64]= {
+ 0x1500, 0x2ef8, 0x4d67, 0x6b02, 0x87be, 0xa395, 0xbe7a, 0xd866,
+ 0xf14a, 0x1091b,0x11fcd,0x13552,0x14999,0x15c98,0x16e34,0x17e5f,
+ 0x18d03,0x19a01,0x1a545,0x1ae8a,0x1b5c4,0x1bb01,0x1bfde,0x1c28d,
+ 0x1c2de,0x1c0db,0x1ba73,0x1b11c,0x1a4b5,0x1953d,0x18266,0x16be0,
+ 0x1683e,0x179d8,0x18a4d,0x19992,0x1a789,0x1b445,0x1bf61,0x1c989,
+ 0x1d16d,0x1d77b,0x1dddf,0x1e2ad,0x1e5bf,0x1e6e8,0x1e654,0x1e3cd,
+ 0x1df2a,0x1d635,0x1cb16,0x1be2c,0x1ae4e,0x19bde,0x1868e,0x16e2e,
+ 0x1527f,0x1334a,0x11051,0xe951, 0xbe01, 0x8e0d, 0x5924, 0x1edd,};
+
+ (2) Iterative refinement
+
+ Apply Reciproot iteration three times to y and multiply the
+ result by x to get an approximation z that matches sqrt(x)
+ to about 1 ulp. To be exact, we will have
+ -1ulp < sqrt(x)-z<1.0625ulp.
+
+ ... set rounding mode to Round-to-nearest
+ y := y*(1.5-0.5*x*y*y) ... almost 15 sig. bits to 1/sqrt(x)
+ y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x)
+ ... special arrangement for better accuracy
+ z := x*y ... 29 bits to sqrt(x), with z*y<1
+ z := z + 0.5*z*(1-z*y) ... about 1 ulp to sqrt(x)
+
+ Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that
+ (a) the term z*y in the final iteration is always less than 1;
+ (b) the error in the final result is biased upward so that
+ -1 ulp < sqrt(x) - z < 1.0625 ulp
+ instead of |sqrt(x)-z|<1.03125ulp.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ R := RZ; ... set rounding mode to round-toward-zero
+ switch(r) {
+ case RN: ... round-to-nearest
+ if(x<= z*(z-ulp)...chopped) z = z - ulp; else
+ if(x<= z*(z+ulp)...chopped) z = z; else z = z+ulp;
+ break;
+ case RZ:case RM: ... round-to-zero or round-to--inf
+ R:=RP; ... reset rounding mod to round-to-+inf
+ if(x<z*z ... rounded up) z = z - ulp; else
+ if(x>=(z+ulp)*(z+ulp) ...rounded up) z = z+ulp;
+ break;
+ case RP: ... round-to-+inf
+ if(x>(z+ulp)*(z+ulp)...chopped) z = z+2*ulp; else
+ if(x>z*z ...chopped) z = z+ulp;
+ break;
+ }
+
+ Remark 3. The above comparisons can be done in fixed point. For
+ example, to compare x and w=z*z chopped, it suffices to compare
+ x1 and w1 (the trailing parts of x and w), regarding them as
+ two's complement integers.
+
+ ...Is z an exact square root?
+ To determine whether z is an exact square root of x, let z1 be the
+ trailing part of z, and also let x0 and x1 be the leading and
+ trailing parts of x.
+
+ If ((z1&0x03ffffff)!=0) ... not exact if trailing 26 bits of z!=0
+ I := 1; ... Raise Inexact flag: z is not exact
+ else {
+ j := 1 - [(x0>>20)&1] ... j = logb(x) mod 2
+ k := z1 >> 26; ... get z's 25-th and 26-th
+ fraction bits
+ I := i or (k&j) or ((k&(j+j+1))!=(x1&3));
+ }
+ R:= r ... restore rounded mode
+ return sqrt(x):=z.
+
+ If multiplication is cheaper then the foregoing red tape, the
+ Inexact flag can be evaluated by
+
+ I := i;
+ I := (z*z!=x) or I.
+
+ Note that z*z can overwrite I; this value must be sensed if it is
+ True.
+
+ Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be
+ zero.
+
+ --------------------
+ z1: | f2 |
+ --------------------
+ bit 31 bit 0
+
+ Further more, bit 27 and 26 of z1, bit 0 and 1 of x1, and the odd
+ or even of logb(x) have the following relations:
+
+ -------------------------------------------------
+ bit 27,26 of z1 bit 1,0 of x1 logb(x)
+ -------------------------------------------------
+ 00 00 odd and even
+ 01 01 even
+ 10 10 odd
+ 10 00 even
+ 11 01 even
+ -------------------------------------------------
+
+ (4) Special cases (see (4) of Section A).
+
+ */
+
diff --git a/lib/msun/src/e_sqrtf.c b/lib/msun/src/e_sqrtf.c
new file mode 100644
index 0000000..28a9428
--- /dev/null
+++ b/lib/msun/src/e_sqrtf.c
@@ -0,0 +1,97 @@
+/* e_sqrtf.c -- float version of e_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: e_sqrtf.c,v 1.2 1994/08/18 23:06:07 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, tiny=1.0e-30;
+#else
+static float one = 1.0, tiny=1.0e-30;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_sqrtf(float x)
+#else
+ float __ieee754_sqrtf(x)
+ float x;
+#endif
+{
+ float z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix,s,q,m,t,i;
+ u_int32_t r;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* take care of Inf and NaN */
+ if((ix&0x7f800000)==0x7f800000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix<=0) {
+ if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix>>23);
+ if(m==0) { /* subnormal x */
+ for(i=0;(ix&0x00800000)==0;i++) ix<<=1;
+ m -= i-1;
+ }
+ m -= 127; /* unbias exponent */
+ ix = (ix&0x007fffff)|0x00800000;
+ if(m&1) /* odd m, double x to make it even */
+ ix += ix;
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix += ix;
+ q = s = 0; /* q = sqrt(x) */
+ r = 0x01000000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s+r;
+ if(t<=ix) {
+ s = t+r;
+ ix -= t;
+ q += r;
+ }
+ ix += ix;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if(ix!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (z>one)
+ q += 2;
+ else
+ q += (q&1);
+ }
+ }
+ ix = (q>>1)+0x3f000000;
+ ix += (m <<23);
+ SET_FLOAT_WORD(z,ix);
+ return z;
+}
diff --git a/lib/msun/src/k_cos.c b/lib/msun/src/k_cos.c
new file mode 100644
index 0000000..1260011
--- /dev/null
+++ b/lib/msun/src/k_cos.c
@@ -0,0 +1,96 @@
+/* @(#)k_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_cos.c,v 1.6 1994/08/18 23:06:08 jtc Exp $";
+#endif
+
+/*
+ * __kernel_cos( x, y )
+ * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ *
+ * Algorithm
+ * 1. Since cos(-x) = cos(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0.
+ * 3. cos(x) is approximated by a polynomial of degree 14 on
+ * [0,pi/4]
+ * 4 14
+ * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
+ * where the remez error is
+ *
+ * | 2 4 6 8 10 12 14 | -58
+ * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
+ * | |
+ *
+ * 4 6 8 10 12 14
+ * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then
+ * cos(x) = 1 - x*x/2 + r
+ * since cos(x+y) ~ cos(x) - sin(x)*y
+ * ~ cos(x) - x*y,
+ * a correction term is necessary in cos(x) and hence
+ * cos(x+y) = 1 - (x*x/2 - (r - x*y))
+ * For better accuracy when x > 0.3, let qx = |x|/4 with
+ * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125.
+ * Then
+ * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)).
+ * Note that 1-qx and (x*x/2-qx) is EXACT here, and the
+ * magnitude of the latter is at least a quarter of x*x/2,
+ * thus, reducing the rounding error in the subtraction.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
+
+#ifdef __STDC__
+ double __kernel_cos(double x, double y)
+#else
+ double __kernel_cos(x, y)
+ double x,y;
+#endif
+{
+ double a,hz,z,r,qx;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x3e400000) { /* if x < 2**27 */
+ if(((int)x)==0) return one; /* generate inexact */
+ }
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ if(ix < 0x3FD33333) /* if |x| < 0.3 */
+ return one - (0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3fe90000) { /* x > 0.78125 */
+ qx = 0.28125;
+ } else {
+ INSERT_WORDS(qx,ix-0x00200000,0); /* x/4 */
+ }
+ hz = 0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/lib/msun/src/k_cosf.c b/lib/msun/src/k_cosf.c
new file mode 100644
index 0000000..9a2b83b
--- /dev/null
+++ b/lib/msun/src/k_cosf.c
@@ -0,0 +1,64 @@
+/* k_cosf.c -- float version of k_cos.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_cosf.c,v 1.2 1994/08/18 23:06:10 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3f800000 */
+C1 = 4.1666667908e-02, /* 0x3d2aaaab */
+C2 = -1.3888889225e-03, /* 0xbab60b61 */
+C3 = 2.4801587642e-05, /* 0x37d00d01 */
+C4 = -2.7557314297e-07, /* 0xb493f27c */
+C5 = 2.0875723372e-09, /* 0x310f74f6 */
+C6 = -1.1359647598e-11; /* 0xad47d74e */
+
+#ifdef __STDC__
+ float __kernel_cosf(float x, float y)
+#else
+ float __kernel_cosf(x, y)
+ float x,y;
+#endif
+{
+ float a,hz,z,r,qx;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x32000000) { /* if x < 2**27 */
+ if(((int)x)==0) return one; /* generate inexact */
+ }
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ if(ix < 0x3e99999a) /* if |x| < 0.3 */
+ return one - ((float)0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3f480000) { /* x > 0.78125 */
+ qx = (float)0.28125;
+ } else {
+ SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */
+ }
+ hz = (float)0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/lib/msun/src/k_rem_pio2.c b/lib/msun/src/k_rem_pio2.c
new file mode 100644
index 0000000..b4611fe
--- /dev/null
+++ b/lib/msun/src/k_rem_pio2.c
@@ -0,0 +1,320 @@
+/* @(#)k_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_rem_pio2.c,v 1.5 1994/08/18 23:06:11 jtc Exp $";
+#endif
+
+/*
+ * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ * double x[],y[]; int e0,nx,prec; int ipio2[];
+ *
+ * __kernel_rem_pio2 return the last three digits of N with
+ * y = x - N*pi/2
+ * so that |y| < pi/2.
+ *
+ * The method is to compute the integer (mod 8) and fraction parts of
+ * (2/pi)*x without doing the full multiplication. In general we
+ * skip the part of the product that are known to be a huge integer (
+ * more accurately, = 0 mod 8 ). Thus the number of operations are
+ * independent of the exponent of the input.
+ *
+ * (2/pi) is represented by an array of 24-bit integers in ipio2[].
+ *
+ * Input parameters:
+ * x[] The input value (must be positive) is broken into nx
+ * pieces of 24-bit integers in double precision format.
+ * x[i] will be the i-th 24 bit of x. The scaled exponent
+ * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0
+ * match x's up to 24 bits.
+ *
+ * Example of breaking a double positive z into x[0]+x[1]+x[2]:
+ * e0 = ilogb(z)-23
+ * z = scalbn(z,-e0)
+ * for i = 0,1,2
+ * x[i] = floor(z)
+ * z = (z-x[i])*2**24
+ *
+ *
+ * y[] ouput result in an array of double precision numbers.
+ * The dimension of y[] is:
+ * 24-bit precision 1
+ * 53-bit precision 2
+ * 64-bit precision 2
+ * 113-bit precision 3
+ * The actual value is the sum of them. Thus for 113-bit
+ * precison, one may have to do something like:
+ *
+ * long double t,w,r_head, r_tail;
+ * t = (long double)y[2] + (long double)y[1];
+ * w = (long double)y[0];
+ * r_head = t+w;
+ * r_tail = w - (r_head - t);
+ *
+ * e0 The exponent of x[0]
+ *
+ * nx dimension of x[]
+ *
+ * prec an integer indicating the precision:
+ * 0 24 bits (single)
+ * 1 53 bits (double)
+ * 2 64 bits (extended)
+ * 3 113 bits (quad)
+ *
+ * ipio2[]
+ * integer array, contains the (24*i)-th to (24*i+23)-th
+ * bit of 2/pi after binary point. The corresponding
+ * floating value is
+ *
+ * ipio2[i] * 2^(-24(i+1)).
+ *
+ * External function:
+ * double scalbn(), floor();
+ *
+ *
+ * Here is the description of some local variables:
+ *
+ * jk jk+1 is the initial number of terms of ipio2[] needed
+ * in the computation. The recommended value is 2,3,4,
+ * 6 for single, double, extended,and quad.
+ *
+ * jz local integer variable indicating the number of
+ * terms of ipio2[] used.
+ *
+ * jx nx - 1
+ *
+ * jv index for pointing to the suitable ipio2[] for the
+ * computation. In general, we want
+ * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8
+ * is an integer. Thus
+ * e0-3-24*jv >= 0 or (e0-3)/24 >= jv
+ * Hence jv = max(0,(e0-3)/24).
+ *
+ * jp jp+1 is the number of terms in PIo2[] needed, jp = jk.
+ *
+ * q[] double array with integral value, representing the
+ * 24-bits chunk of the product of x and 2/pi.
+ *
+ * q0 the corresponding exponent of q[0]. Note that the
+ * exponent for q[i] would be q0-24*i.
+ *
+ * PIo2[] double precision array, obtained by cutting pi/2
+ * into 24 bits chunks.
+ *
+ * f[] ipio2[] in floating point
+ *
+ * iq[] integer array by breaking up q[] in 24-bits chunk.
+ *
+ * fq[] final product of x*(2/pi) in fq[0],..,fq[jk]
+ *
+ * ih integer. If >0 it indicates q[] is >= 0.5, hence
+ * it also indicates the *sign* of the result.
+ *
+ */
+
+
+/*
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
+#else
+static int init_jk[] = {2,3,4,6};
+#endif
+
+#ifdef __STDC__
+static const double PIo2[] = {
+#else
+static double PIo2[] = {
+#endif
+ 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
+ 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
+ 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
+ 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
+ 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
+ 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
+ 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
+ 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
+};
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+zero = 0.0,
+one = 1.0,
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
+
+#ifdef __STDC__
+ int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2)
+#else
+ int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ double x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ double z,fw,f[20],fq[20],q[20];
+
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
+
+ /* determine jx,jv,q0, note that 3>q0 */
+ jx = nx-1;
+ jv = (e0-3)/24; if(jv<0) jv=0;
+ q0 = e0-24*(jv+1);
+
+ /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
+
+ /* compute q[0],q[1],...q[jk] */
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
+
+ jz = jk;
+recompute:
+ /* distill q[] into iq[] reversingly */
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (double)((int32_t)(twon24* z));
+ iq[i] = (int32_t)(z-two24*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = scalbn(z,q0); /* actual value of z */
+ z -= 8.0*floor(z*0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (double)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(24-q0)); n += i;
+ iq[jz-1] -= i<<(24-q0);
+ ih = iq[jz-1]>>(23-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>23;
+ else if(z>=0.5) ih=2;
+
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x1000000- j;
+ }
+ } else iq[i] = 0xffffff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7fffff; break;
+ case 2:
+ iq[jz-1] &= 0x3fffff; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= scalbn(one,q0);
+ }
+ }
+
+ /* check if recomputation is needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
+
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (double) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
+
+ /* chop off zero terms */
+ if(z==0.0) {
+ jz -= 1; q0 -= 24;
+ while(iq[jz]==0) { jz--; q0-=24;}
+ } else { /* break z into 24-bit if necessary */
+ z = scalbn(z,-q0);
+ if(z>=two24) {
+ fw = (double)((int32_t)(twon24*z));
+ iq[jz] = (int32_t)(z-two24*fw);
+ jz += 1; q0 += 24;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = scalbn(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(double)iq[i]; fw*=twon24;
+ }
+
+ /* compute PIo2[0,...,jp]*q[jz,...,0] */
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
+
+ /* compress fq[] into y[] */
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
+}
diff --git a/lib/msun/src/k_rem_pio2f.c b/lib/msun/src/k_rem_pio2f.c
new file mode 100644
index 0000000..c243a56
--- /dev/null
+++ b/lib/msun/src/k_rem_pio2f.c
@@ -0,0 +1,213 @@
+/* k_rem_pio2f.c -- float version of k_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_rem_pio2f.c,v 1.2 1994/08/18 23:06:12 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* In the float version, the input parameter x contains 8 bit
+ integers, not 24 bit integers. 113 bit precision is not supported. */
+
+#ifdef __STDC__
+static const int init_jk[] = {4,7,9}; /* initial value for jk */
+#else
+static int init_jk[] = {4,7,9};
+#endif
+
+#ifdef __STDC__
+static const float PIo2[] = {
+#else
+static float PIo2[] = {
+#endif
+ 1.5703125000e+00, /* 0x3fc90000 */
+ 4.5776367188e-04, /* 0x39f00000 */
+ 2.5987625122e-05, /* 0x37da0000 */
+ 7.5437128544e-08, /* 0x33a20000 */
+ 6.0026650317e-11, /* 0x2e840000 */
+ 7.3896444519e-13, /* 0x2b500000 */
+ 5.3845816694e-15, /* 0x27c20000 */
+ 5.6378512969e-18, /* 0x22d00000 */
+ 8.3009228831e-20, /* 0x1fc40000 */
+ 3.2756352257e-22, /* 0x1bc60000 */
+ 6.3331015649e-25, /* 0x17440000 */
+};
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+zero = 0.0,
+one = 1.0,
+two8 = 2.5600000000e+02, /* 0x43800000 */
+twon8 = 3.9062500000e-03; /* 0x3b800000 */
+
+#ifdef __STDC__
+ int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2)
+#else
+ int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2)
+ float x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ float z,fw,f[20],fq[20],q[20];
+
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
+
+ /* determine jx,jv,q0, note that 3>q0 */
+ jx = nx-1;
+ jv = (e0-3)/8; if(jv<0) jv=0;
+ q0 = e0-8*(jv+1);
+
+ /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j];
+
+ /* compute q[0],q[1],...q[jk] */
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
+
+ jz = jk;
+recompute:
+ /* distill q[] into iq[] reversingly */
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (float)((int32_t)(twon8* z));
+ iq[i] = (int32_t)(z-two8*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = scalbnf(z,q0); /* actual value of z */
+ z -= (float)8.0*floorf(z*(float)0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (float)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(8-q0)); n += i;
+ iq[jz-1] -= i<<(8-q0);
+ ih = iq[jz-1]>>(7-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>8;
+ else if(z>=(float)0.5) ih=2;
+
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x100- j;
+ }
+ } else iq[i] = 0xff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7f; break;
+ case 2:
+ iq[jz-1] &= 0x3f; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= scalbnf(one,q0);
+ }
+ }
+
+ /* check if recomputation is needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
+
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (float) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
+
+ /* chop off zero terms */
+ if(z==(float)0.0) {
+ jz -= 1; q0 -= 8;
+ while(iq[jz]==0) { jz--; q0-=8;}
+ } else { /* break z into 8-bit if necessary */
+ z = scalbnf(z,-q0);
+ if(z>=two8) {
+ fw = (float)((int32_t)(twon8*z));
+ iq[jz] = (int32_t)(z-two8*fw);
+ jz += 1; q0 += 8;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = scalbnf(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(float)iq[i]; fw*=twon8;
+ }
+
+ /* compute PIo2[0,...,jp]*q[jz,...,0] */
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
+
+ /* compress fq[] into y[] */
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
+}
diff --git a/lib/msun/src/k_sin.c b/lib/msun/src/k_sin.c
new file mode 100644
index 0000000..f022901
--- /dev/null
+++ b/lib/msun/src/k_sin.c
@@ -0,0 +1,79 @@
+/* @(#)k_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_sin.c,v 1.6 1994/08/18 23:06:14 jtc Exp $";
+#endif
+
+/* __kernel_sin( x, y, iy)
+ * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input iy indicates whether y is 0. (if iy=0, y assume to be 0).
+ *
+ * Algorithm
+ * 1. Since sin(-x) = -sin(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0.
+ * 3. sin(x) is approximated by a polynomial of degree 13 on
+ * [0,pi/4]
+ * 3 13
+ * sin(x) ~ x + S1*x + ... + S6*x
+ * where
+ *
+ * |sin(x) 2 4 6 8 10 12 | -58
+ * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
+ * | x |
+ *
+ * 4. sin(x+y) = sin(x) + sin'(x')*y
+ * ~ sin(x) + (1-x*x/2)*y
+ * For better accuracy, let
+ * 3 2 2 2 2
+ * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
+ * then 3 2
+ * sin(x) = x + (S1*x + (x *(r-y/2)+y))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
+
+#ifdef __STDC__
+ double __kernel_sin(double x, double y, int iy)
+#else
+ double __kernel_sin(x, y, iy)
+ double x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ double z,r,v;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x3e400000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/lib/msun/src/k_sinf.c b/lib/msun/src/k_sinf.c
new file mode 100644
index 0000000..ad19fb4
--- /dev/null
+++ b/lib/msun/src/k_sinf.c
@@ -0,0 +1,54 @@
+/* k_sinf.c -- float version of k_sin.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_sinf.c,v 1.2 1994/08/18 23:06:15 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+half = 5.0000000000e-01,/* 0x3f000000 */
+S1 = -1.6666667163e-01, /* 0xbe2aaaab */
+S2 = 8.3333337680e-03, /* 0x3c088889 */
+S3 = -1.9841270114e-04, /* 0xb9500d01 */
+S4 = 2.7557314297e-06, /* 0x3638ef1b */
+S5 = -2.5050759689e-08, /* 0xb2d72f34 */
+S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */
+
+#ifdef __STDC__
+ float __kernel_sinf(float x, float y, int iy)
+#else
+ float __kernel_sinf(x, y, iy)
+ float x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ float z,r,v;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x32000000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/lib/msun/src/k_standard.c b/lib/msun/src/k_standard.c
new file mode 100644
index 0000000..aa01a79
--- /dev/null
+++ b/lib/msun/src/k_standard.c
@@ -0,0 +1,782 @@
+/* @(#)k_standard.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_standard.c,v 1.4 1994/08/10 20:31:44 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#ifndef _USE_WRITE
+#include <stdio.h> /* fputs(), stderr */
+#define WRITE2(u,v) fputs(u, stderr)
+#else /* !defined(_USE_WRITE) */
+#include <unistd.h> /* write */
+#define WRITE2(u,v) write(2, u, v)
+#undef fflush
+#endif /* !defined(_USE_WRITE) */
+
+#ifdef __STDC__
+static const double zero = 0.0; /* used as const */
+#else
+static double zero = 0.0; /* used as const */
+#endif
+
+/*
+ * Standard conformance (non-IEEE) on exception cases.
+ * Mapping:
+ * 1 -- acos(|x|>1)
+ * 2 -- asin(|x|>1)
+ * 3 -- atan2(+-0,+-0)
+ * 4 -- hypot overflow
+ * 5 -- cosh overflow
+ * 6 -- exp overflow
+ * 7 -- exp underflow
+ * 8 -- y0(0)
+ * 9 -- y0(-ve)
+ * 10-- y1(0)
+ * 11-- y1(-ve)
+ * 12-- yn(0)
+ * 13-- yn(-ve)
+ * 14-- lgamma(finite) overflow
+ * 15-- lgamma(-integer)
+ * 16-- log(0)
+ * 17-- log(x<0)
+ * 18-- log10(0)
+ * 19-- log10(x<0)
+ * 20-- pow(0.0,0.0)
+ * 21-- pow(x,y) overflow
+ * 22-- pow(x,y) underflow
+ * 23-- pow(0,negative)
+ * 24-- pow(neg,non-integral)
+ * 25-- sinh(finite) overflow
+ * 26-- sqrt(negative)
+ * 27-- fmod(x,0)
+ * 28-- remainder(x,0)
+ * 29-- acosh(x<1)
+ * 30-- atanh(|x|>1)
+ * 31-- atanh(|x|=1)
+ * 32-- scalb overflow
+ * 33-- scalb underflow
+ * 34-- j0(|x|>X_TLOSS)
+ * 35-- y0(x>X_TLOSS)
+ * 36-- j1(|x|>X_TLOSS)
+ * 37-- y1(x>X_TLOSS)
+ * 38-- jn(|x|>X_TLOSS, n)
+ * 39-- yn(x>X_TLOSS, n)
+ * 40-- gamma(finite) overflow
+ * 41-- gamma(-integer)
+ * 42-- pow(NaN,0.0)
+ */
+
+
+#ifdef __STDC__
+ double __kernel_standard(double x, double y, int type)
+#else
+ double __kernel_standard(x,y,type)
+ double x,y; int type;
+#endif
+{
+ struct exception exc;
+#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+
+#ifdef _USE_WRITE
+ (void) fflush(stdout);
+#endif
+ exc.arg1 = x;
+ exc.arg2 = y;
+ switch(type) {
+ case 1:
+ case 101:
+ /* acos(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acos" : "acosf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acos: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 2:
+ case 102:
+ /* asin(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "asin" : "asinf";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("asin: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 3:
+ case 103:
+ /* atan2(+-0,+-0) */
+ exc.arg1 = y;
+ exc.arg2 = x;
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atan2" : "atan2f";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atan2: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 4:
+ case 104:
+ /* hypot(finite,finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "hypot" : "hypotf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 5:
+ case 105:
+ /* cosh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "cosh" : "coshf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 6:
+ case 106:
+ /* exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "exp" : "expf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 7:
+ case 107:
+ /* exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "exp" : "expf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 8:
+ case 108:
+ /* y0(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y0" : "y0f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 9:
+ case 109:
+ /* y0(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y0" : "y0f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 10:
+ case 110:
+ /* y1(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y1" : "y1f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 11:
+ case 111:
+ /* y1(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y1" : "y1f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 12:
+ case 112:
+ /* yn(n,0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "yn" : "ynf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 13:
+ case 113:
+ /* yn(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "yn" : "ynf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 14:
+ case 114:
+ /* lgamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "lgamma" : "lgammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 15:
+ case 115:
+ /* lgamma(-integer) or lgamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "lgamma" : "lgammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("lgamma: SING error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 16:
+ case 116:
+ /* log(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log" : "logf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: SING error\n", 16);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 17:
+ case 117:
+ /* log(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log" : "logf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: DOMAIN error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 18:
+ case 118:
+ /* log10(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log10" : "log10f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 19:
+ case 119:
+ /* log10(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log10" : "log10f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 20:
+ case 120:
+ /* pow(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = zero;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ (void) WRITE2("pow(0,0): DOMAIN error\n", 23);
+ errno = EDOM;
+ }
+ break;
+ case 21:
+ case 121:
+ /* pow(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "pow" : "powf";
+ if (_LIB_VERSION == _SVID_) {
+ exc.retval = HUGE;
+ y *= 0.5;
+ if(x<zero&&rint(y)!=y) exc.retval = -HUGE;
+ } else {
+ exc.retval = HUGE_VAL;
+ y *= 0.5;
+ if(x<zero&&rint(y)!=y) exc.retval = -HUGE_VAL;
+ }
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 22:
+ case 122:
+ /* pow(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 23:
+ case 123:
+ /* 0**neg */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 24:
+ case 124:
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 25:
+ case 125:
+ /* sinh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "sinh" : "sinhf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = ( (x>zero) ? HUGE : -HUGE);
+ else
+ exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 26:
+ case 126:
+ /* sqrt(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "sqrt" : "sqrtf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("sqrt: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 27:
+ case 127:
+ /* fmod(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "fmod" : "fmodf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = x;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("fmod: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 28:
+ case 128:
+ /* remainder(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "remainder" : "remainderf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("remainder: DOMAIN error\n", 24);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 29:
+ case 129:
+ /* acosh(x<1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acosh" : "acoshf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acosh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 30:
+ case 130:
+ /* atanh(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atanh" : "atanhf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 31:
+ case 131:
+ /* atanh(|x|=1) */
+ exc.type = SING;
+ exc.name = type < 100 ? "atanh" : "atanhf";
+ exc.retval = x/zero; /* sign(x)*inf */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 32:
+ case 132:
+ /* scalb overflow; SVID also returns +-HUGE_VAL */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "scalb" : "scalbf";
+ exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 33:
+ case 133:
+ /* scalb underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "scalb" : "scalbf";
+ exc.retval = copysign(zero,x);
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 34:
+ case 134:
+ /* j0(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j0" : "j0f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 35:
+ case 135:
+ /* y0(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y0" : "y0f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 36:
+ case 136:
+ /* j1(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j1" : "j1f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 37:
+ case 137:
+ /* y1(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y1" : "y1f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 38:
+ case 138:
+ /* jn(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "jn" : "jnf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 39:
+ case 139:
+ /* yn(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "yn" : "ynf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 40:
+ case 140:
+ /* gamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "gamma" : "gammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 41:
+ case 141:
+ /* gamma(-integer) or gamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "gamma" : "gammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("gamma: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 42:
+ case 142:
+ /* pow(NaN,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = x;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ break;
+ }
+ return exc.retval;
+}
diff --git a/lib/msun/src/k_tan.c b/lib/msun/src/k_tan.c
new file mode 100644
index 0000000..27abc1c
--- /dev/null
+++ b/lib/msun/src/k_tan.c
@@ -0,0 +1,131 @@
+/* @(#)k_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_tan.c,v 1.6 1994/08/18 23:06:16 jtc Exp $";
+#endif
+
+/* __kernel_tan( x, y, k )
+ * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input k indicates whether tan (if k=1) or
+ * -1/tan (if k= -1) is returned.
+ *
+ * Algorithm
+ * 1. Since tan(-x) = -tan(x), we need only to consider positive x.
+ * 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0.
+ * 3. tan(x) is approximated by a odd polynomial of degree 27 on
+ * [0,0.67434]
+ * 3 27
+ * tan(x) ~ x + T1*x + ... + T13*x
+ * where
+ *
+ * |tan(x) 2 4 26 | -59.2
+ * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
+ * | x |
+ *
+ * Note: tan(x+y) = tan(x) + tan'(x)*y
+ * ~ tan(x) + (1+x*x)*y
+ * Therefore, for better accuracy in computing tan(x+y), let
+ * 3 2 2 2 2
+ * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13))))
+ * then
+ * 3 2
+ * tan(x+y) = x + (T1*x + (x *(r+y)+y))
+ *
+ * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
+ * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
+ * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+pio4lo= 3.06161699786838301793e-17, /* 0x3C81A626, 0x33145C07 */
+T[] = {
+ 3.33333333333334091986e-01, /* 0x3FD55555, 0x55555563 */
+ 1.33333333333201242699e-01, /* 0x3FC11111, 0x1110FE7A */
+ 5.39682539762260521377e-02, /* 0x3FABA1BA, 0x1BB341FE */
+ 2.18694882948595424599e-02, /* 0x3F9664F4, 0x8406D637 */
+ 8.86323982359930005737e-03, /* 0x3F8226E3, 0xE96E8493 */
+ 3.59207910759131235356e-03, /* 0x3F6D6D22, 0xC9560328 */
+ 1.45620945432529025516e-03, /* 0x3F57DBC8, 0xFEE08315 */
+ 5.88041240820264096874e-04, /* 0x3F4344D8, 0xF2F26501 */
+ 2.46463134818469906812e-04, /* 0x3F3026F7, 0x1A8D1068 */
+ 7.81794442939557092300e-05, /* 0x3F147E88, 0xA03792A6 */
+ 7.14072491382608190305e-05, /* 0x3F12B80F, 0x32F0A7E9 */
+ -1.85586374855275456654e-05, /* 0xBEF375CB, 0xDB605373 */
+ 2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */
+};
+
+#ifdef __STDC__
+ double __kernel_tan(double x, double y, int iy)
+#else
+ double __kernel_tan(x, y, iy)
+ double x,y; int iy;
+#endif
+{
+ double z,r,v,w,s;
+ int32_t ix,hx;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff; /* high word of |x| */
+ if(ix<0x3e300000) /* x < 2**-28 */
+ {if((int)x==0) { /* generate inexact */
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(((ix|low)|(iy+1))==0) return one/fabs(x);
+ else return (iy==1)? x: -one/x;
+ }
+ }
+ if(ix>=0x3FE59428) { /* |x|>=0.6744 */
+ if(hx<0) {x = -x; y = -y;}
+ z = pio4-x;
+ w = pio4lo-y;
+ x = z+w; y = 0.0;
+ }
+ z = x*x;
+ w = z*z;
+ /* Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+ r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
+ v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
+ s = z*x;
+ r = y + z*(s*(r+v)+y);
+ r += T[0]*s;
+ w = x+r;
+ if(ix>=0x3FE59428) {
+ v = (double)iy;
+ return (double)(1-((hx>>30)&2))*(v-2.0*(x-(w*w/(w+v)-r)));
+ }
+ if(iy==1) return w;
+ else { /* if allow error up to 2 ulp,
+ simply return -1.0/(x+r) here */
+ /* compute -1.0/(x+r) accurately */
+ double a,t;
+ z = w;
+ SET_LOW_WORD(z,0);
+ v = r-(z - x); /* z+v = r+x */
+ t = a = -1.0/w; /* a = -1.0/w */
+ SET_LOW_WORD(t,0);
+ s = 1.0+t*z;
+ return t+a*(s+t*v);
+ }
+}
diff --git a/lib/msun/src/k_tanf.c b/lib/msun/src/k_tanf.c
new file mode 100644
index 0000000..f4d13ed
--- /dev/null
+++ b/lib/msun/src/k_tanf.c
@@ -0,0 +1,101 @@
+/* k_tanf.c -- float version of k_tan.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: k_tanf.c,v 1.2 1994/08/18 23:06:18 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3f800000 */
+pio4 = 7.8539812565e-01, /* 0x3f490fda */
+pio4lo= 3.7748947079e-08, /* 0x33222168 */
+T[] = {
+ 3.3333334327e-01, /* 0x3eaaaaab */
+ 1.3333334029e-01, /* 0x3e088889 */
+ 5.3968254477e-02, /* 0x3d5d0dd1 */
+ 2.1869488060e-02, /* 0x3cb327a4 */
+ 8.8632395491e-03, /* 0x3c11371f */
+ 3.5920790397e-03, /* 0x3b6b6916 */
+ 1.4562094584e-03, /* 0x3abede48 */
+ 5.8804126456e-04, /* 0x3a1a26c8 */
+ 2.4646313977e-04, /* 0x398137b9 */
+ 7.8179444245e-05, /* 0x38a3f445 */
+ 7.1407252108e-05, /* 0x3895c07a */
+ -1.8558637748e-05, /* 0xb79bae5f */
+ 2.5907305826e-05, /* 0x37d95384 */
+};
+
+#ifdef __STDC__
+ float __kernel_tanf(float x, float y, int iy)
+#else
+ float __kernel_tanf(x, y, iy)
+ float x,y; int iy;
+#endif
+{
+ float z,r,v,w,s;
+ int32_t ix,hx;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff; /* high word of |x| */
+ if(ix<0x31800000) /* x < 2**-28 */
+ {if((int)x==0) { /* generate inexact */
+ if((ix|(iy+1))==0) return one/fabsf(x);
+ else return (iy==1)? x: -one/x;
+ }
+ }
+ if(ix>=0x3f2ca140) { /* |x|>=0.6744 */
+ if(hx<0) {x = -x; y = -y;}
+ z = pio4-x;
+ w = pio4lo-y;
+ x = z+w; y = 0.0;
+ }
+ z = x*x;
+ w = z*z;
+ /* Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+ r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
+ v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
+ s = z*x;
+ r = y + z*(s*(r+v)+y);
+ r += T[0]*s;
+ w = x+r;
+ if(ix>=0x3f2ca140) {
+ v = (float)iy;
+ return (float)(1-((hx>>30)&2))*(v-(float)2.0*(x-(w*w/(w+v)-r)));
+ }
+ if(iy==1) return w;
+ else { /* if allow error up to 2 ulp,
+ simply return -1.0/(x+r) here */
+ /* compute -1.0/(x+r) accurately */
+ float a,t;
+ int32_t i;
+ z = w;
+ GET_FLOAT_WORD(i,z);
+ SET_FLOAT_WORD(z,i&0xfffff000);
+ v = r-(z - x); /* z+v = r+x */
+ t = a = -(float)1.0/w; /* a = -1.0/w */
+ GET_FLOAT_WORD(i,t);
+ SET_FLOAT_WORD(t,i&0xfffff000);
+ s = (float)1.0+t*z;
+ return t+a*(s+t*v);
+ }
+}
diff --git a/lib/msun/src/math.h b/lib/msun/src/math.h
new file mode 100644
index 0000000..eff080f
--- /dev/null
+++ b/lib/msun/src/math.h
@@ -0,0 +1,273 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * from: @(#)fdlibm.h 5.1 93/09/24
+ * $Id: math.h,v 1.1 1994/08/10 20:31:49 jtc Exp $
+ */
+
+#ifndef _MATH_H_
+#define _MATH_H_
+
+/*
+ * ANSI/POSIX
+ */
+extern char __infinity[];
+#define HUGE_VAL (*(double *) __infinity)
+
+/*
+ * XOPEN/SVID
+ */
+#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
+#define M_E 2.7182818284590452354 /* e */
+#define M_LOG2E 1.4426950408889634074 /* log 2e */
+#define M_LOG10E 0.43429448190325182765 /* log 10e */
+#define M_LN2 0.69314718055994530942 /* log e2 */
+#define M_LN10 2.30258509299404568402 /* log e10 */
+#define M_PI 3.14159265358979323846 /* pi */
+#define M_PI_2 1.57079632679489661923 /* pi/2 */
+#define M_PI_4 0.78539816339744830962 /* pi/4 */
+#define M_1_PI 0.31830988618379067154 /* 1/pi */
+#define M_2_PI 0.63661977236758134308 /* 2/pi */
+#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
+#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
+#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
+
+#define MAXFLOAT ((float)3.40282346638528860e+38)
+extern int signgam;
+
+#if !defined(_XOPEN_SOURCE)
+enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
+
+#define _LIB_VERSION_TYPE enum fdversion
+#define _LIB_VERSION _fdlib_version
+
+/* if global variable _LIB_VERSION is not desirable, one may
+ * change the following to be a constant by:
+ * #define _LIB_VERSION_TYPE const enum version
+ * In that case, after one initializes the value _LIB_VERSION (see
+ * s_lib_version.c) during compile time, it cannot be modified
+ * in the middle of a program
+ */
+extern _LIB_VERSION_TYPE _LIB_VERSION;
+
+#define _IEEE_ fdlibm_ieee
+#define _SVID_ fdlibm_svid
+#define _XOPEN_ fdlibm_xopen
+#define _POSIX_ fdlibm_posix
+
+struct exception {
+ int type;
+ char *name;
+ double arg1;
+ double arg2;
+ double retval;
+};
+
+#define HUGE MAXFLOAT
+
+/*
+ * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
+ * (one may replace the following line by "#include <values.h>")
+ */
+
+#define X_TLOSS 1.41484755040568800000e+16
+
+#define DOMAIN 1
+#define SING 2
+#define OVERFLOW 3
+#define UNDERFLOW 4
+#define TLOSS 5
+#define PLOSS 6
+
+#endif /* !_XOPEN_SOURCE */
+#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
+
+
+#include <sys/cdefs.h>
+__BEGIN_DECLS
+/*
+ * ANSI/POSIX
+ */
+extern double acos __P((double));
+extern double asin __P((double));
+extern double atan __P((double));
+extern double atan2 __P((double, double));
+extern double cos __P((double));
+extern double sin __P((double));
+extern double tan __P((double));
+
+extern double cosh __P((double));
+extern double sinh __P((double));
+extern double tanh __P((double));
+
+extern double exp __P((double));
+extern double frexp __P((double, int *));
+extern double ldexp __P((double, int));
+extern double log __P((double));
+extern double log10 __P((double));
+extern double modf __P((double, double *));
+
+extern double pow __P((double, double));
+extern double sqrt __P((double));
+
+extern double ceil __P((double));
+extern double fabs __P((double));
+extern double floor __P((double));
+extern double fmod __P((double, double));
+
+#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
+extern double erf __P((double));
+extern double erfc __P((double));
+extern double gamma __P((double));
+extern double hypot __P((double, double));
+extern int isinf __P((double));
+extern int isnan __P((double));
+extern int finite __P((double));
+extern double j0 __P((double));
+extern double j1 __P((double));
+extern double jn __P((int, double));
+extern double lgamma __P((double));
+extern double y0 __P((double));
+extern double y1 __P((double));
+extern double yn __P((int, double));
+
+#if !defined(_XOPEN_SOURCE)
+extern double acosh __P((double));
+extern double asinh __P((double));
+extern double atanh __P((double));
+extern double cbrt __P((double));
+extern double logb __P((double));
+extern double nextafter __P((double, double));
+extern double remainder __P((double, double));
+extern double scalb __P((double, double));
+
+extern int matherr __P((struct exception *));
+
+/*
+ * IEEE Test Vector
+ */
+extern double significand __P((double));
+
+/*
+ * Functions callable from C, intended to support IEEE arithmetic.
+ */
+extern double copysign __P((double, double));
+extern int ilogb __P((double));
+extern double rint __P((double));
+extern double scalbn __P((double, int));
+
+/*
+ * BSD math library entry points
+ */
+extern double cabs();
+extern double drem __P((double, double));
+extern double expm1 __P((double));
+extern double log1p __P((double));
+
+/*
+ * Reentrant version of gamma & lgamma; passes signgam back by reference
+ * as the second argument; user must allocate space for signgam.
+ */
+#ifdef _REENTRANT
+extern double gamma_r __P((double, int *));
+extern double lgamma_r __P((double, int *));
+#endif /* _REENTRANT */
+
+
+/* float versions of ANSI/POSIX functions */
+extern float acosf __P((float));
+extern float asinf __P((float));
+extern float atanf __P((float));
+extern float atan2f __P((float, float));
+extern float cosf __P((float));
+extern float sinf __P((float));
+extern float tanf __P((float));
+
+extern float coshf __P((float));
+extern float sinhf __P((float));
+extern float tanhf __P((float));
+
+extern float expf __P((float));
+extern float frexpf __P((float, int *));
+extern float ldexpf __P((float, int));
+extern float logf __P((float));
+extern float log10f __P((float));
+extern float modff __P((float, float *));
+
+extern float powf __P((float, float));
+extern float sqrtf __P((float));
+
+extern float ceilf __P((float));
+extern float fabsf __P((float));
+extern float floorf __P((float));
+extern float fmodf __P((float, float));
+
+extern float erff __P((float));
+extern float erfcf __P((float));
+extern float gammaf __P((float));
+extern float hypotf __P((float, float));
+extern int isnanf __P((float));
+extern int finitef __P((float));
+extern float j0f __P((float));
+extern float j1f __P((float));
+extern float jnf __P((int, float));
+extern float lgammaf __P((float));
+extern float y0f __P((float));
+extern float y1f __P((float));
+extern float ynf __P((int, float));
+
+extern float acoshf __P((float));
+extern float asinhf __P((float));
+extern float atanhf __P((float));
+extern float cbrtf __P((float));
+extern float logbf __P((float));
+extern float nextafterf __P((float, float));
+extern float remainderf __P((float, float));
+extern float scalbf __P((float, float));
+
+/*
+ * float version of IEEE Test Vector
+ */
+extern float significandf __P((float));
+
+/*
+ * Float versions of functions callable from C, intended to support
+ * IEEE arithmetic.
+ */
+extern float copysignf __P((float, float));
+extern int ilogbf __P((float));
+extern float rintf __P((float));
+extern float scalbnf __P((float, int));
+
+/*
+ * float versions of BSD math library entry points
+ */
+extern float cabsf ();
+extern float dremf __P((float, float));
+extern float expm1f __P((float));
+extern float log1pf __P((float));
+
+/*
+ * Float versions of reentrant version of gamma & lgamma; passes
+ * signgam back by reference as the second argument; user must
+ * allocate space for signgam.
+ */
+#ifdef _REENTRANT
+extern float gammaf_r __P((float, int *));
+extern float lgammaf_r __P((float, int *));
+#endif /* _REENTRANT */
+
+#endif /* !_XOPEN_SOURCE */
+#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
+__END_DECLS
+
+#endif /* _MATH_H_ */
diff --git a/lib/msun/src/math_private.h b/lib/msun/src/math_private.h
new file mode 100644
index 0000000..2183c9f
--- /dev/null
+++ b/lib/msun/src/math_private.h
@@ -0,0 +1,223 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * from: @(#)fdlibm.h 5.1 93/09/24
+ * $Id: math_private.h,v 1.2 1994/08/18 23:06:19 jtc Exp $
+ */
+
+#ifndef _MATH_PRIVATE_H_
+#define _MATH_PRIVATE_H_
+
+#include <machine/endian.h>
+#include <sys/types.h>
+
+/* The original fdlibm code used statements like:
+ n0 = ((*(int*)&one)>>29)^1; * index of high word *
+ ix0 = *(n0+(int*)&x); * high word of x *
+ ix1 = *((1-n0)+(int*)&x); * low word of x *
+ to dig two 32 bit words out of the 64 bit IEEE floating point
+ value. That is non-ANSI, and, moreover, the gcc instruction
+ scheduler gets it wrong. We instead use the following macros.
+ Unlike the original code, we determine the endianness at compile
+ time, not at run time; I don't see much benefit to selecting
+ endianness at run time. */
+
+/* A union which permits us to convert between a double and two 32 bit
+ ints. */
+
+#if BYTE_ORDER == BIG_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t msw;
+ u_int32_t lsw;
+ } parts;
+} ieee_double_shape_type;
+
+#endif
+
+#if BYTE_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t lsw;
+ u_int32_t msw;
+ } parts;
+} ieee_double_shape_type;
+
+#endif
+
+/* Get two 32 bit ints from a double. */
+
+#define EXTRACT_WORDS(ix0,ix1,d) \
+do { \
+ ieee_double_shape_type ew_u; \
+ ew_u.value = (d); \
+ (ix0) = ew_u.parts.msw; \
+ (ix1) = ew_u.parts.lsw; \
+} while (0)
+
+/* Get the more significant 32 bit int from a double. */
+
+#define GET_HIGH_WORD(i,d) \
+do { \
+ ieee_double_shape_type gh_u; \
+ gh_u.value = (d); \
+ (i) = gh_u.parts.msw; \
+} while (0)
+
+/* Get the less significant 32 bit int from a double. */
+
+#define GET_LOW_WORD(i,d) \
+do { \
+ ieee_double_shape_type gl_u; \
+ gl_u.value = (d); \
+ (i) = gl_u.parts.lsw; \
+} while (0)
+
+/* Set a double from two 32 bit ints. */
+
+#define INSERT_WORDS(d,ix0,ix1) \
+do { \
+ ieee_double_shape_type iw_u; \
+ iw_u.parts.msw = (ix0); \
+ iw_u.parts.lsw = (ix1); \
+ (d) = iw_u.value; \
+} while (0)
+
+/* Set the more significant 32 bits of a double from an int. */
+
+#define SET_HIGH_WORD(d,v) \
+do { \
+ ieee_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ sh_u.parts.msw = (v); \
+ (d) = sh_u.value; \
+} while (0)
+
+/* Set the less significant 32 bits of a double from an int. */
+
+#define SET_LOW_WORD(d,v) \
+do { \
+ ieee_double_shape_type sl_u; \
+ sl_u.value = (d); \
+ sl_u.parts.lsw = (v); \
+ (d) = sl_u.value; \
+} while (0)
+
+/* A union which permits us to convert between a float and a 32 bit
+ int. */
+
+typedef union
+{
+ float value;
+ /* FIXME: Assumes 32 bit int. */
+ unsigned int word;
+} ieee_float_shape_type;
+
+/* Get a 32 bit int from a float. */
+
+#define GET_FLOAT_WORD(i,d) \
+do { \
+ ieee_float_shape_type gf_u; \
+ gf_u.value = (d); \
+ (i) = gf_u.word; \
+} while (0)
+
+/* Set a float from a 32 bit int. */
+
+#define SET_FLOAT_WORD(d,i) \
+do { \
+ ieee_float_shape_type sf_u; \
+ sf_u.word = (i); \
+ (d) = sf_u.value; \
+} while (0)
+
+/* ieee style elementary functions */
+extern double __ieee754_sqrt __P((double));
+extern double __ieee754_acos __P((double));
+extern double __ieee754_acosh __P((double));
+extern double __ieee754_log __P((double));
+extern double __ieee754_atanh __P((double));
+extern double __ieee754_asin __P((double));
+extern double __ieee754_atan2 __P((double,double));
+extern double __ieee754_exp __P((double));
+extern double __ieee754_cosh __P((double));
+extern double __ieee754_fmod __P((double,double));
+extern double __ieee754_pow __P((double,double));
+extern double __ieee754_lgamma_r __P((double,int *));
+extern double __ieee754_gamma_r __P((double,int *));
+extern double __ieee754_lgamma __P((double));
+extern double __ieee754_gamma __P((double));
+extern double __ieee754_log10 __P((double));
+extern double __ieee754_sinh __P((double));
+extern double __ieee754_hypot __P((double,double));
+extern double __ieee754_j0 __P((double));
+extern double __ieee754_j1 __P((double));
+extern double __ieee754_y0 __P((double));
+extern double __ieee754_y1 __P((double));
+extern double __ieee754_jn __P((int,double));
+extern double __ieee754_yn __P((int,double));
+extern double __ieee754_remainder __P((double,double));
+extern int __ieee754_rem_pio2 __P((double,double*));
+extern double __ieee754_scalb __P((double,double));
+
+/* fdlibm kernel function */
+extern double __kernel_standard __P((double,double,int));
+extern double __kernel_sin __P((double,double,int));
+extern double __kernel_cos __P((double,double));
+extern double __kernel_tan __P((double,double,int));
+extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
+
+
+/* ieee style elementary float functions */
+extern float __ieee754_sqrtf __P((float));
+extern float __ieee754_acosf __P((float));
+extern float __ieee754_acoshf __P((float));
+extern float __ieee754_logf __P((float));
+extern float __ieee754_atanhf __P((float));
+extern float __ieee754_asinf __P((float));
+extern float __ieee754_atan2f __P((float,float));
+extern float __ieee754_expf __P((float));
+extern float __ieee754_coshf __P((float));
+extern float __ieee754_fmodf __P((float,float));
+extern float __ieee754_powf __P((float,float));
+extern float __ieee754_lgammaf_r __P((float,int *));
+extern float __ieee754_gammaf_r __P((float,int *));
+extern float __ieee754_lgammaf __P((float));
+extern float __ieee754_gammaf __P((float));
+extern float __ieee754_log10f __P((float));
+extern float __ieee754_sinhf __P((float));
+extern float __ieee754_hypotf __P((float,float));
+extern float __ieee754_j0f __P((float));
+extern float __ieee754_j1f __P((float));
+extern float __ieee754_y0f __P((float));
+extern float __ieee754_y1f __P((float));
+extern float __ieee754_jnf __P((int,float));
+extern float __ieee754_ynf __P((int,float));
+extern float __ieee754_remainderf __P((float,float));
+extern int __ieee754_rem_pio2f __P((float,float*));
+extern float __ieee754_scalbf __P((float,float));
+
+/* float versions of fdlibm kernel functions */
+extern float __kernel_sinf __P((float,float,int));
+extern float __kernel_cosf __P((float,float));
+extern float __kernel_tanf __P((float,float,int));
+extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
+
+#endif /* _MATH_PRIVATE_H_ */
diff --git a/lib/msun/src/s_asinh.c b/lib/msun/src/s_asinh.c
new file mode 100644
index 0000000..f9e1304
--- /dev/null
+++ b/lib/msun/src/s_asinh.c
@@ -0,0 +1,65 @@
+/* @(#)s_asinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_asinh.c,v 1.6 1994/08/18 23:06:20 jtc Exp $";
+#endif
+
+/* asinh(x)
+ * Method :
+ * Based on
+ * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+huge= 1.00000000000000000000e+300;
+
+#ifdef __STDC__
+ double asinh(double x)
+#else
+ double asinh(x)
+ double x;
+#endif
+{
+ double t,w;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
+ if(ix< 0x3e300000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x41b00000) { /* |x| > 2**28 */
+ w = __ieee754_log(fabs(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabs(x);
+ w = __ieee754_log(2.0*t+one/(sqrt(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =log1p(fabs(x)+t/(one+sqrt(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
diff --git a/lib/msun/src/s_asinhf.c b/lib/msun/src/s_asinhf.c
new file mode 100644
index 0000000..3d4f242
--- /dev/null
+++ b/lib/msun/src/s_asinhf.c
@@ -0,0 +1,57 @@
+/* s_asinhf.c -- float version of s_asinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_asinhf.c,v 1.2 1994/08/18 23:06:21 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+ln2 = 6.9314718246e-01, /* 0x3f317218 */
+huge= 1.0000000000e+30;
+
+#ifdef __STDC__
+ float asinhf(float x)
+#else
+ float asinhf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
+ if(ix< 0x31800000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x4d800000) { /* |x| > 2**28 */
+ w = __ieee754_logf(fabsf(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabsf(x);
+ w = __ieee754_logf((float)2.0*t+one/(sqrtf(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =log1pf(fabsf(x)+t/(one+sqrtf(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
diff --git a/lib/msun/src/s_atan.c b/lib/msun/src/s_atan.c
new file mode 100644
index 0000000..dd79665
--- /dev/null
+++ b/lib/msun/src/s_atan.c
@@ -0,0 +1,139 @@
+/* @(#)s_atan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_atan.c,v 1.6 1994/08/18 23:06:23 jtc Exp $";
+#endif
+
+/* atan(x)
+ * Method
+ * 1. Reduce x to positive by atan(x) = -atan(-x).
+ * 2. According to the integer k=4t+0.25 chopped, t=x, the argument
+ * is further reduced to one of the following intervals and the
+ * arctangent of t is evaluated by the corresponding formula:
+ *
+ * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
+ * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) )
+ * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) )
+ * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) )
+ * [39/16,INF] atan(x) = atan(INF) + atan( -1/t )
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double atanhi[] = {
+#else
+static double atanhi[] = {
+#endif
+ 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
+};
+
+#ifdef __STDC__
+static const double atanlo[] = {
+#else
+static double atanlo[] = {
+#endif
+ 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
+ 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
+ 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
+ 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
+};
+
+#ifdef __STDC__
+static const double aT[] = {
+#else
+static double aT[] = {
+#endif
+ 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
+ -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
+ 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
+ -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
+ 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
+ -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
+ 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
+ -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
+ 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
+ -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
+ 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
+};
+
+#ifdef __STDC__
+ static const double
+#else
+ static double
+#endif
+one = 1.0,
+huge = 1.0e300;
+
+#ifdef __STDC__
+ double atan(double x)
+#else
+ double atan(x)
+ double x;
+#endif
+{
+ double w,s1,s2,z;
+ int32_t ix,hx,id;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x44100000) { /* if |x| >= 2^66 */
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(ix>0x7ff00000||
+ (ix==0x7ff00000&&(low!=0)))
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+atanlo[3];
+ else return -atanhi[3]-atanlo[3];
+ } if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
+ if (ix < 0x3e200000) { /* |x| < 2^-29 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabs(x);
+ if (ix < 0x3ff30000) { /* |x| < 1.1875 */
+ if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = (2.0*x-one)/(2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x40038000) { /* |x| < 2.4375 */
+ id = 2; x = (x-1.5)/(one+1.5*x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3; x = -1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+ s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+ s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+}
diff --git a/lib/msun/src/s_atanf.c b/lib/msun/src/s_atanf.c
new file mode 100644
index 0000000..f9d5160
--- /dev/null
+++ b/lib/msun/src/s_atanf.c
@@ -0,0 +1,119 @@
+/* s_atanf.c -- float version of s_atan.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_atanf.c,v 1.2 1994/08/18 23:06:24 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float atanhi[] = {
+#else
+static float atanhi[] = {
+#endif
+ 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
+ 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
+ 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
+ 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
+};
+
+#ifdef __STDC__
+static const float atanlo[] = {
+#else
+static float atanlo[] = {
+#endif
+ 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
+ 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
+ 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
+ 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
+};
+
+#ifdef __STDC__
+static const float aT[] = {
+#else
+static float aT[] = {
+#endif
+ 3.3333334327e-01, /* 0x3eaaaaaa */
+ -2.0000000298e-01, /* 0xbe4ccccd */
+ 1.4285714924e-01, /* 0x3e124925 */
+ -1.1111110449e-01, /* 0xbde38e38 */
+ 9.0908870101e-02, /* 0x3dba2e6e */
+ -7.6918758452e-02, /* 0xbd9d8795 */
+ 6.6610731184e-02, /* 0x3d886b35 */
+ -5.8335702866e-02, /* 0xbd6ef16b */
+ 4.9768779427e-02, /* 0x3d4bda59 */
+ -3.6531571299e-02, /* 0xbd15a221 */
+ 1.6285819933e-02, /* 0x3c8569d7 */
+};
+
+#ifdef __STDC__
+ static const float
+#else
+ static float
+#endif
+one = 1.0,
+huge = 1.0e30;
+
+#ifdef __STDC__
+ float atanf(float x)
+#else
+ float atanf(x)
+ float x;
+#endif
+{
+ float w,s1,s2,z;
+ int32_t ix,hx,id;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x50800000) { /* if |x| >= 2^34 */
+ if(ix>0x7f800000)
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+atanlo[3];
+ else return -atanhi[3]-atanlo[3];
+ } if (ix < 0x3ee00000) { /* |x| < 0.4375 */
+ if (ix < 0x31000000) { /* |x| < 2^-29 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabsf(x);
+ if (ix < 0x3f980000) { /* |x| < 1.1875 */
+ if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x401c0000) { /* |x| < 2.4375 */
+ id = 2; x = (x-(float)1.5)/(one+(float)1.5*x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3; x = -(float)1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+ s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+ s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+}
diff --git a/lib/msun/src/s_cbrt.c b/lib/msun/src/s_cbrt.c
new file mode 100644
index 0000000..cbf50ab
--- /dev/null
+++ b/lib/msun/src/s_cbrt.c
@@ -0,0 +1,93 @@
+/* @(#)s_cbrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_cbrt.c,v 1.6 1994/08/18 23:06:25 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrt(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const u_int32_t
+#else
+static u_int32_t
+#endif
+ B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */
+ B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+C = 5.42857142857142815906e-01, /* 19/35 = 0x3FE15F15, 0xF15F15F1 */
+D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */
+E = 1.41428571428571436819e+00, /* 99/70 = 0x3FF6A0EA, 0x0EA0EA0F */
+F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */
+G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */
+
+#ifdef __STDC__
+ double cbrt(double x)
+#else
+ double cbrt(x)
+ double x;
+#endif
+{
+ int32_t hx;
+ double r,s,t=0.0,w;
+ u_int32_t sign;
+ u_int32_t high,low;
+
+ GET_HIGH_WORD(hx,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */
+ GET_LOW_WORD(low,x);
+ if((hx|low)==0)
+ return(x); /* cbrt(0) is itself */
+
+ SET_HIGH_WORD(x,hx); /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00100000) /* subnormal number */
+ {SET_HIGH_WORD(t,0x43500000); /* set t= 2**54 */
+ t*=x; GET_HIGH_WORD(high,t); SET_HIGH_WORD(t,high/3+B2);
+ }
+ else
+ SET_HIGH_WORD(t,hx/3+B1);
+
+
+ /* new cbrt to 23 bits, may be implemented in single precision */
+ r=t*t/x;
+ s=C+r*t;
+ t*=G+F/(s+E+D/s);
+
+ /* chopped to 20 bits and make it larger than cbrt(x) */
+ GET_HIGH_WORD(high,t);
+ INSERT_WORDS(t,high+0x00000001,0);
+
+
+ /* one step newton iteration to 53 bits with error less than 0.667 ulps */
+ s=t*t; /* t*t is exact */
+ r=x/s;
+ w=t+t;
+ r=(r-t)/(w+r); /* r-s is exact */
+ t=t+t*r;
+
+ /* retore the sign bit */
+ GET_HIGH_WORD(high,t);
+ SET_HIGH_WORD(t,high|sign);
+ return(t);
+}
diff --git a/lib/msun/src/s_cbrtf.c b/lib/msun/src/s_cbrtf.c
new file mode 100644
index 0000000..4b38c50
--- /dev/null
+++ b/lib/msun/src/s_cbrtf.c
@@ -0,0 +1,83 @@
+/* s_cbrtf.c -- float version of s_cbrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_cbrtf.c,v 1.2 1994/08/18 23:06:27 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrtf(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const unsigned
+#else
+static unsigned
+#endif
+ B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */
+ B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+C = 5.4285717010e-01, /* 19/35 = 0x3f0af8b0 */
+D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */
+E = 1.4142856598e+00, /* 99/70 = 0x3fb50750 */
+F = 1.6071428061e+00, /* 45/28 = 0x3fcdb6db */
+G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */
+
+#ifdef __STDC__
+ float cbrtf(float x)
+#else
+ float cbrtf(x)
+ float x;
+#endif
+{
+ float r,s,t;
+ int32_t hx;
+ u_int32_t sign;
+ u_int32_t high;
+
+ GET_FLOAT_WORD(hx,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */
+ if(hx==0)
+ return(x); /* cbrt(0) is itself */
+
+ SET_FLOAT_WORD(x,hx); /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00800000) /* subnormal number */
+ {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */
+ t*=x; GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high/3+B2);
+ }
+ else
+ SET_FLOAT_WORD(t,hx/3+B1);
+
+
+ /* new cbrt to 23 bits */
+ r=t*t/x;
+ s=C+r*t;
+ t*=G+F/(s+E+D/s);
+
+ /* retore the sign bit */
+ GET_FLOAT_WORD(high,t);
+ SET_FLOAT_WORD(t,high|sign);
+ return(t);
+}
diff --git a/lib/msun/src/s_ceil.c b/lib/msun/src/s_ceil.c
new file mode 100644
index 0000000..d1c5598
--- /dev/null
+++ b/lib/msun/src/s_ceil.c
@@ -0,0 +1,80 @@
+/* @(#)s_ceil.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ceil.c,v 1.6 1994/08/18 23:06:29 jtc Exp $";
+#endif
+
+/*
+ * ceil(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double ceil(double x)
+#else
+ double ceil(x)
+ double x;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;i1=0;}
+ else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1 + (1<<(52-j0));
+ if(j<i1) i0+=1; /* got a carry */
+ i1 = j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
diff --git a/lib/msun/src/s_ceilf.c b/lib/msun/src/s_ceilf.c
new file mode 100644
index 0000000..76334f1
--- /dev/null
+++ b/lib/msun/src/s_ceilf.c
@@ -0,0 +1,61 @@
+/* s_ceilf.c -- float version of s_ceil.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ceilf.c,v 1.2 1994/08/18 23:06:30 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float ceilf(float x)
+#else
+ float ceilf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;}
+ else if(i0!=0) { i0=0x3f800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
diff --git a/lib/msun/src/s_copysign.c b/lib/msun/src/s_copysign.c
new file mode 100644
index 0000000..93f39c0
--- /dev/null
+++ b/lib/msun/src/s_copysign.c
@@ -0,0 +1,38 @@
+/* @(#)s_copysign.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_copysign.c,v 1.6 1994/08/18 23:06:31 jtc Exp $";
+#endif
+
+/*
+ * copysign(double x, double y)
+ * copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double copysign(double x, double y)
+#else
+ double copysign(x,y)
+ double x,y;
+#endif
+{
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
+ return x;
+}
diff --git a/lib/msun/src/s_copysignf.c b/lib/msun/src/s_copysignf.c
new file mode 100644
index 0000000..219f35f
--- /dev/null
+++ b/lib/msun/src/s_copysignf.c
@@ -0,0 +1,41 @@
+/* s_copysignf.c -- float version of s_copysign.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_copysignf.c,v 1.2 1994/08/18 23:06:33 jtc Exp $";
+#endif
+
+/*
+ * copysignf(float x, float y)
+ * copysignf(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float copysignf(float x, float y)
+#else
+ float copysignf(x,y)
+ float x,y;
+#endif
+{
+ u_int32_t ix,iy;
+ GET_FLOAT_WORD(ix,x);
+ GET_FLOAT_WORD(iy,y);
+ SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
+ return x;
+}
diff --git a/lib/msun/src/s_cos.c b/lib/msun/src/s_cos.c
new file mode 100644
index 0000000..821af1c
--- /dev/null
+++ b/lib/msun/src/s_cos.c
@@ -0,0 +1,82 @@
+/* @(#)s_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_cos.c,v 1.5 1994/08/18 23:06:34 jtc Exp $";
+#endif
+
+/* cos(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cosine function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double cos(double x)
+#else
+ double cos(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cos(y[0],y[1]);
+ case 1: return -__kernel_sin(y[0],y[1],1);
+ case 2: return -__kernel_cos(y[0],y[1]);
+ default:
+ return __kernel_sin(y[0],y[1],1);
+ }
+ }
+}
diff --git a/lib/msun/src/s_cosf.c b/lib/msun/src/s_cosf.c
new file mode 100644
index 0000000..f51fff4
--- /dev/null
+++ b/lib/msun/src/s_cosf.c
@@ -0,0 +1,59 @@
+/* s_cosf.c -- float version of s_cos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_cosf.c,v 1.2 1994/08/18 23:06:35 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0;
+#else
+static float one=1.0;
+#endif
+
+#ifdef __STDC__
+ float cosf(float x)
+#else
+ float cosf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n,ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_cosf(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cosf(y[0],y[1]);
+ case 1: return -__kernel_sinf(y[0],y[1],1);
+ case 2: return -__kernel_cosf(y[0],y[1]);
+ default:
+ return __kernel_sinf(y[0],y[1],1);
+ }
+ }
+}
diff --git a/lib/msun/src/s_erf.c b/lib/msun/src/s_erf.c
new file mode 100644
index 0000000..45f6636
--- /dev/null
+++ b/lib/msun/src/s_erf.c
@@ -0,0 +1,314 @@
+/* @(#)s_erf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_erf.c,v 1.6 1994/08/18 23:06:36 jtc Exp $";
+#endif
+
+/* double erf(double x)
+ * double erfc(double x)
+ * x
+ * 2 |\
+ * erf(x) = --------- | exp(-t*t)dt
+ * sqrt(pi) \|
+ * 0
+ *
+ * erfc(x) = 1-erf(x)
+ * Note that
+ * erf(-x) = -erf(x)
+ * erfc(-x) = 2 - erfc(x)
+ *
+ * Method:
+ * 1. For |x| in [0, 0.84375]
+ * erf(x) = x + x*R(x^2)
+ * erfc(x) = 1 - erf(x) if x in [-.84375,0.25]
+ * = 0.5 + ((0.5-x)-x*R) if x in [0.25,0.84375]
+ * where R = P/Q where P is an odd poly of degree 8 and
+ * Q is an odd poly of degree 10.
+ * -57.90
+ * | R - (erf(x)-x)/x | <= 2
+ *
+ *
+ * Remark. The formula is derived by noting
+ * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....)
+ * and that
+ * 2/sqrt(pi) = 1.128379167095512573896158903121545171688
+ * is close to one. The interval is chosen because the fix
+ * point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is
+ * near 0.6174), and by some experiment, 0.84375 is chosen to
+ * guarantee the error is less than one ulp for erf.
+ *
+ * 2. For |x| in [0.84375,1.25], let s = |x| - 1, and
+ * c = 0.84506291151 rounded to single (24 bits)
+ * erf(x) = sign(x) * (c + P1(s)/Q1(s))
+ * erfc(x) = (1-c) - P1(s)/Q1(s) if x > 0
+ * 1+(c+P1(s)/Q1(s)) if x < 0
+ * |P1/Q1 - (erf(|x|)-c)| <= 2**-59.06
+ * Remark: here we use the taylor series expansion at x=1.
+ * erf(1+s) = erf(1) + s*Poly(s)
+ * = 0.845.. + P1(s)/Q1(s)
+ * That is, we use rational approximation to approximate
+ * erf(1+s) - (c = (single)0.84506291151)
+ * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25]
+ * where
+ * P1(s) = degree 6 poly in s
+ * Q1(s) = degree 6 poly in s
+ *
+ * 3. For x in [1.25,1/0.35(~2.857143)],
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R1/S1)
+ * erf(x) = 1 - erfc(x)
+ * where
+ * R1(z) = degree 7 poly in z, (z=1/x^2)
+ * S1(z) = degree 8 poly in z
+ *
+ * 4. For x in [1/0.35,28]
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R2/S2) if x > 0
+ * = 2.0 - (1/x)*exp(-x*x-0.5625+R2/S2) if -6<x<0
+ * = 2.0 - tiny (if x <= -6)
+ * erf(x) = sign(x)*(1.0 - erfc(x)) if x < 6, else
+ * erf(x) = sign(x)*(1.0 - tiny)
+ * where
+ * R2(z) = degree 6 poly in z, (z=1/x^2)
+ * S2(z) = degree 7 poly in z
+ *
+ * Note1:
+ * To compute exp(-x*x-0.5625+R/S), let s be a single
+ * precision number and s := x; then
+ * -x*x = -s*s + (s-x)*(s+x)
+ * exp(-x*x-0.5626+R/S) =
+ * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S);
+ * Note2:
+ * Here 4 and 5 make use of the asymptotic series
+ * exp(-x*x)
+ * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) )
+ * x*sqrt(pi)
+ * We use rational approximation to approximate
+ * g(s)=f(1/x^2) = log(erfc(x)*x) - x*x + 0.5625
+ * Here is the error bound for R1/S1 and R2/S2
+ * |R1/S1 - f(x)| < 2**(-62.57)
+ * |R2/S2 - f(x)| < 2**(-61.52)
+ *
+ * 5. For inf > x >= 28
+ * erf(x) = sign(x) *(1 - tiny) (raise inexact)
+ * erfc(x) = tiny*tiny (raise underflow) if x > 0
+ * = 2 - tiny if x<0
+ *
+ * 7. Special case:
+ * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1,
+ * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2,
+ * erfc/erf(NaN) is NaN
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+tiny = 1e-300,
+half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+ /* c = (float)0.84506291151 */
+erx = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */
+/*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+efx = 1.28379167095512586316e-01, /* 0x3FC06EBA, 0x8214DB69 */
+efx8= 1.02703333676410069053e+00, /* 0x3FF06EBA, 0x8214DB69 */
+pp0 = 1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */
+pp1 = -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */
+pp2 = -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */
+pp3 = -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */
+pp4 = -2.37630166566501626084e-05, /* 0xBEF8EAD6, 0x120016AC */
+qq1 = 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */
+qq2 = 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */
+qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */
+qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */
+qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */
+pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */
+pa2 = -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */
+pa3 = 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */
+pa4 = -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */
+pa5 = 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */
+pa6 = -2.16637559486879084300e-03, /* 0xBF61BF38, 0x0A96073F */
+qa1 = 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */
+qa2 = 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */
+qa3 = 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */
+qa4 = 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */
+qa5 = 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */
+qa6 = 1.19844998467991074170e-02, /* 0x3F888B54, 0x5735151D */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra0 = -9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */
+ra1 = -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */
+ra2 = -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */
+ra3 = -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */
+ra4 = -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */
+ra5 = -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */
+ra6 = -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */
+ra7 = -9.81432934416914548592e+00, /* 0xC023A0EF, 0xC69AC25C */
+sa1 = 1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */
+sa2 = 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */
+sa3 = 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */
+sa4 = 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */
+sa5 = 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */
+sa6 = 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */
+sa7 = 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */
+sa8 = -6.04244152148580987438e-02, /* 0xBFAEEFF2, 0xEE749A62 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb0 = -9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */
+rb1 = -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */
+rb2 = -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */
+rb3 = -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */
+rb4 = -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */
+rb5 = -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */
+rb6 = -4.83519191608651397019e+02, /* 0xC07E384E, 0x9BDC383F */
+sb1 = 3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */
+sb2 = 3.25792512996573918826e+02, /* 0x40745CAE, 0x221B9F0A */
+sb3 = 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */
+sb4 = 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */
+sb5 = 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */
+sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */
+sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */
+
+#ifdef __STDC__
+ double erf(double x)
+#else
+ double erf(x)
+ double x;
+#endif
+{
+ int32_t hx,ix,i;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erf(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ if(ix < 0x3e300000) { /* |x|<2**-28 */
+ if (ix < 0x00800000)
+ return 0.125*(8.0*x+efx8*x); /*avoid underflow */
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabs(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40180000) { /* inf>|x|>=6 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6E) { /* |x| < 1/0.35 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/0.35 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+
+#ifdef __STDC__
+ double erfc(double x)
+#else
+ double erfc(x)
+ double x;
+#endif
+{
+ int32_t hx,ix;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erfc(nan)=nan */
+ /* erfc(+-inf)=0,2 */
+ return (double)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ if(ix < 0x3c700000) /* |x|<2**-56 */
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ if(hx < 0x3fd00000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabs(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x403c0000) { /* |x|<28 */
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6D) { /* |x| < 1/.35 ~ 2.857143*/
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/.35 ~ 2.857143 */
+ if(hx<0&&ix>=0x40180000) return two-tiny;/* x < -6 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*
+ __ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
diff --git a/lib/msun/src/s_erff.c b/lib/msun/src/s_erff.c
new file mode 100644
index 0000000..5a931be
--- /dev/null
+++ b/lib/msun/src/s_erff.c
@@ -0,0 +1,223 @@
+/* s_erff.c -- float version of s_erf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_erff.c,v 1.2 1994/08/18 23:06:38 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+tiny = 1e-30,
+half= 5.0000000000e-01, /* 0x3F000000 */
+one = 1.0000000000e+00, /* 0x3F800000 */
+two = 2.0000000000e+00, /* 0x40000000 */
+ /* c = (subfloat)0.84506291151 */
+erx = 8.4506291151e-01, /* 0x3f58560b */
+/*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+efx = 1.2837916613e-01, /* 0x3e0375d4 */
+efx8= 1.0270333290e+00, /* 0x3f8375d4 */
+pp0 = 1.2837916613e-01, /* 0x3e0375d4 */
+pp1 = -3.2504209876e-01, /* 0xbea66beb */
+pp2 = -2.8481749818e-02, /* 0xbce9528f */
+pp3 = -5.7702702470e-03, /* 0xbbbd1489 */
+pp4 = -2.3763017452e-05, /* 0xb7c756b1 */
+qq1 = 3.9791721106e-01, /* 0x3ecbbbce */
+qq2 = 6.5022252500e-02, /* 0x3d852a63 */
+qq3 = 5.0813062117e-03, /* 0x3ba68116 */
+qq4 = 1.3249473704e-04, /* 0x390aee49 */
+qq5 = -3.9602282413e-06, /* 0xb684e21a */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */
+pa1 = 4.1485610604e-01, /* 0x3ed46805 */
+pa2 = -3.7220788002e-01, /* 0xbebe9208 */
+pa3 = 3.1834661961e-01, /* 0x3ea2fe54 */
+pa4 = -1.1089469492e-01, /* 0xbde31cc2 */
+pa5 = 3.5478305072e-02, /* 0x3d1151b3 */
+pa6 = -2.1663755178e-03, /* 0xbb0df9c0 */
+qa1 = 1.0642088205e-01, /* 0x3dd9f331 */
+qa2 = 5.4039794207e-01, /* 0x3f0a5785 */
+qa3 = 7.1828655899e-02, /* 0x3d931ae7 */
+qa4 = 1.2617121637e-01, /* 0x3e013307 */
+qa5 = 1.3637083583e-02, /* 0x3c5f6e13 */
+qa6 = 1.1984500103e-02, /* 0x3c445aa3 */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra0 = -9.8649440333e-03, /* 0xbc21a093 */
+ra1 = -6.9385856390e-01, /* 0xbf31a0b7 */
+ra2 = -1.0558626175e+01, /* 0xc128f022 */
+ra3 = -6.2375331879e+01, /* 0xc2798057 */
+ra4 = -1.6239666748e+02, /* 0xc322658c */
+ra5 = -1.8460508728e+02, /* 0xc3389ae7 */
+ra6 = -8.1287437439e+01, /* 0xc2a2932b */
+ra7 = -9.8143291473e+00, /* 0xc11d077e */
+sa1 = 1.9651271820e+01, /* 0x419d35ce */
+sa2 = 1.3765776062e+02, /* 0x4309a863 */
+sa3 = 4.3456588745e+02, /* 0x43d9486f */
+sa4 = 6.4538726807e+02, /* 0x442158c9 */
+sa5 = 4.2900814819e+02, /* 0x43d6810b */
+sa6 = 1.0863500214e+02, /* 0x42d9451f */
+sa7 = 6.5702495575e+00, /* 0x40d23f7c */
+sa8 = -6.0424413532e-02, /* 0xbd777f97 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb0 = -9.8649431020e-03, /* 0xbc21a092 */
+rb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */
+rb2 = -1.7757955551e+01, /* 0xc18e104b */
+rb3 = -1.6063638306e+02, /* 0xc320a2ea */
+rb4 = -6.3756646729e+02, /* 0xc41f6441 */
+rb5 = -1.0250950928e+03, /* 0xc480230b */
+rb6 = -4.8351919556e+02, /* 0xc3f1c275 */
+sb1 = 3.0338060379e+01, /* 0x41f2b459 */
+sb2 = 3.2579251099e+02, /* 0x43a2e571 */
+sb3 = 1.5367296143e+03, /* 0x44c01759 */
+sb4 = 3.1998581543e+03, /* 0x4547fdbb */
+sb5 = 2.5530502930e+03, /* 0x451f90ce */
+sb6 = 4.7452853394e+02, /* 0x43ed43a7 */
+sb7 = -2.2440952301e+01; /* 0xc1b38712 */
+
+#ifdef __STDC__
+ float erff(float x)
+#else
+ float erff(x)
+ float x;
+#endif
+{
+ int32_t hx,ix,i;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erf(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (float)(1-i)+one/x; /* erf(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x31800000) { /* |x|<2**-28 */
+ if (ix < 0x04000000)
+ /*avoid underflow */
+ return (float)0.125*((float)8.0*x+efx8*x);
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40c00000) { /* inf>|x|>=6 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036DB6E) { /* |x| < 1/0.35 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/0.35 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(z,ix&0xfffff000);
+ r = __ieee754_expf(-z*z-(float)0.5625)*__ieee754_expf((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+
+#ifdef __STDC__
+ float erfcf(float x)
+#else
+ float erfcf(x)
+ float x;
+#endif
+{
+ int32_t hx,ix;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erfc(nan)=nan */
+ /* erfc(+-inf)=0,2 */
+ return (float)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x23800000) /* |x|<2**-56 */
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ if(hx < 0x3e800000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x41e00000) { /* |x|<28 */
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/.35 ~ 2.857143 */
+ if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(z,ix&0xfffff000);
+ r = __ieee754_expf(-z*z-(float)0.5625)*
+ __ieee754_expf((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
diff --git a/lib/msun/src/s_expm1.c b/lib/msun/src/s_expm1.c
new file mode 100644
index 0000000..70a1e05
--- /dev/null
+++ b/lib/msun/src/s_expm1.c
@@ -0,0 +1,228 @@
+/* @(#)s_expm1.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_expm1.c,v 1.6 1994/08/18 23:06:39 jtc Exp $";
+#endif
+
+/* expm1(x)
+ * Returns exp(x)-1, the exponential of x minus 1.
+ *
+ * Method
+ * 1. Argument reduction:
+ * Given x, find r and integer k such that
+ *
+ * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658
+ *
+ * Here a correction term c will be computed to compensate
+ * the error in r when rounded to a floating-point number.
+ *
+ * 2. Approximating expm1(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Since
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ...
+ * we define R1(r*r) by
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r)
+ * That is,
+ * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r)
+ * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r))
+ * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ...
+ * We use a special Reme algorithm on [0,0.347] to generate
+ * a polynomial of degree 5 in r*r to approximate R1. The
+ * maximum error of this polynomial approximation is bounded
+ * by 2**-61. In other words,
+ * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5
+ * where Q1 = -1.6666666666666567384E-2,
+ * Q2 = 3.9682539681370365873E-4,
+ * Q3 = -9.9206344733435987357E-6,
+ * Q4 = 2.5051361420808517002E-7,
+ * Q5 = -6.2843505682382617102E-9;
+ * (where z=r*r, and the values of Q1 to Q5 are listed below)
+ * with error bounded by
+ * | 5 | -61
+ * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2
+ * | |
+ *
+ * expm1(r) = exp(r)-1 is then computed by the following
+ * specific way which minimize the accumulation rounding error:
+ * 2 3
+ * r r [ 3 - (R1 + R1*r/2) ]
+ * expm1(r) = r + --- + --- * [--------------------]
+ * 2 2 [ 6 - r*(3 - R1*r/2) ]
+ *
+ * To compensate the error in the argument reduction, we use
+ * expm1(r+c) = expm1(r) + c + expm1(r)*c
+ * ~ expm1(r) + c + r*c
+ * Thus c+r*c will be added in as the correction terms for
+ * expm1(r+c). Now rearrange the term to avoid optimization
+ * screw up:
+ * ( 2 2 )
+ * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r )
+ * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- )
+ * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 )
+ * ( )
+ *
+ * = r - E
+ * 3. Scale back to obtain expm1(x):
+ * From step 1, we have
+ * expm1(x) = either 2^k*[expm1(r)+1] - 1
+ * = or 2^k*[expm1(r) + (1-2^-k)]
+ * 4. Implementation notes:
+ * (A). To save one multiplication, we scale the coefficient Qi
+ * to Qi*2^i, and replace z by (x^2)/2.
+ * (B). To achieve maximum accuracy, we compute expm1(x) by
+ * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf)
+ * (ii) if k=0, return r-E
+ * (iii) if k=-1, return 0.5*(r-E)-0.5
+ * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E)
+ * else return 1.0+2.0*(r-E);
+ * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1)
+ * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else
+ * (vii) return 2^k(1-((E+2^-k)-r))
+ *
+ * Special cases:
+ * expm1(INF) is INF, expm1(NaN) is NaN;
+ * expm1(-INF) is -1, and
+ * for finite argument, only expm1(0)=0 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 expm1(x) overflow
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+huge = 1.0e+300,
+tiny = 1.0e-300,
+o_threshold = 7.09782712893383973096e+02,/* 0x40862E42, 0xFEFA39EF */
+ln2_hi = 6.93147180369123816490e-01,/* 0x3fe62e42, 0xfee00000 */
+ln2_lo = 1.90821492927058770002e-10,/* 0x3dea39ef, 0x35793c76 */
+invln2 = 1.44269504088896338700e+00,/* 0x3ff71547, 0x652b82fe */
+ /* scaled coefficients related to expm1 */
+Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */
+Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
+Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
+Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
+Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */
+
+#ifdef __STDC__
+ double expm1(double x)
+#else
+ double expm1(x)
+ double x;
+#endif
+{
+ double y,hi,lo,c,t,e,hxs,hfx,r1;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_HIGH_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ if(xsb==0) y=x; else y= -x; /* y = |x| */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4043687A) { /* if |x|>=56*ln2 */
+ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
+ if(hx>=0x7ff00000) {
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(((hx&0xfffff)|low)!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ }
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -56*ln2, return -1.0 with inexact */
+ if(x+tiny<0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?0.5:-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ x = hi - lo;
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x3c900000) { /* when |x|<2**-54, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = 0.5*x;
+ hxs = x*hfx;
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+ t = 3.0-r1*hfx;
+ e = hxs*((r1-t)/(6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return 0.5*(x-e)-0.5;
+ if(k==1)
+ if(x < -0.25) return -2.0*(e-(x+0.5));
+ else return one+2.0*(x-e);
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ u_int32_t high;
+ y = one-(e-x);
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ return y-one;
+ }
+ t = one;
+ if(k<20) {
+ u_int32_t high;
+ SET_HIGH_WORD(t,0x3ff00000 - (0x200000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ } else {
+ u_int32_t high;
+ SET_HIGH_WORD(t,((0x3ff-k)<<20)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ }
+ }
+ return y;
+}
diff --git a/lib/msun/src/s_expm1f.c b/lib/msun/src/s_expm1f.c
new file mode 100644
index 0000000..35c440b
--- /dev/null
+++ b/lib/msun/src/s_expm1f.c
@@ -0,0 +1,133 @@
+/* s_expm1f.c -- float version of s_expm1.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_expm1f.c,v 1.2 1994/08/18 23:06:40 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+huge = 1.0e+30,
+tiny = 1.0e-30,
+o_threshold = 8.8721679688e+01,/* 0x42b17180 */
+ln2_hi = 6.9313812256e-01,/* 0x3f317180 */
+ln2_lo = 9.0580006145e-06,/* 0x3717f7d1 */
+invln2 = 1.4426950216e+00,/* 0x3fb8aa3b */
+ /* scaled coefficients related to expm1 */
+Q1 = -3.3333335072e-02, /* 0xbd088889 */
+Q2 = 1.5873016091e-03, /* 0x3ad00d01 */
+Q3 = -7.9365076090e-05, /* 0xb8a670cd */
+Q4 = 4.0082177293e-06, /* 0x36867e54 */
+Q5 = -2.0109921195e-07; /* 0xb457edbb */
+
+#ifdef __STDC__
+ float expm1f(float x)
+#else
+ float expm1f(x)
+ float x;
+#endif
+{
+ float y,hi,lo,c,t,e,hxs,hfx,r1;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_FLOAT_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ if(xsb==0) y=x; else y= -x; /* y = |x| */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4195b844) { /* if |x|>=27*ln2 */
+ if(hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if(hx>0x7f800000)
+ return x+x; /* NaN */
+ if(hx==0x7f800000)
+ return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -27*ln2, return -1.0 with inexact */
+ if(x+tiny<(float)0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?(float)0.5:(float)-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ x = hi - lo;
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x33000000) { /* when |x|<2**-25, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = (float)0.5*x;
+ hxs = x*hfx;
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+ t = (float)3.0-r1*hfx;
+ e = hxs*((r1-t)/((float)6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return (float)0.5*(x-e)-(float)0.5;
+ if(k==1)
+ if(x < (float)-0.25) return -(float)2.0*(e-(x+(float)0.5));
+ else return one+(float)2.0*(x-e);
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ int32_t i;
+ y = one-(e-x);
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ return y-one;
+ }
+ t = one;
+ if(k<23) {
+ int32_t i;
+ SET_FLOAT_WORD(t,0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ } else {
+ int32_t i;
+ SET_FLOAT_WORD(t,((0x7f-k)<<23)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ }
+ }
+ return y;
+}
diff --git a/lib/msun/src/s_fabs.c b/lib/msun/src/s_fabs.c
new file mode 100644
index 0000000..26e1990
--- /dev/null
+++ b/lib/msun/src/s_fabs.c
@@ -0,0 +1,35 @@
+/* @(#)s_fabs.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_fabs.c,v 1.5 1994/08/18 23:06:42 jtc Exp $";
+#endif
+
+/*
+ * fabs(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double fabs(double x)
+#else
+ double fabs(x)
+ double x;
+#endif
+{
+ u_int32_t high;
+ GET_HIGH_WORD(high,x);
+ SET_HIGH_WORD(x,high&0x7fffffff);
+ return x;
+}
diff --git a/lib/msun/src/s_fabsf.c b/lib/msun/src/s_fabsf.c
new file mode 100644
index 0000000..3050ecc
--- /dev/null
+++ b/lib/msun/src/s_fabsf.c
@@ -0,0 +1,38 @@
+/* s_fabsf.c -- float version of s_fabs.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_fabsf.c,v 1.2 1994/08/18 23:06:43 jtc Exp $";
+#endif
+
+/*
+ * fabsf(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float fabsf(float x)
+#else
+ float fabsf(x)
+ float x;
+#endif
+{
+ u_int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x7fffffff);
+ return x;
+}
diff --git a/lib/msun/src/s_finite.c b/lib/msun/src/s_finite.c
new file mode 100644
index 0000000..33fedba
--- /dev/null
+++ b/lib/msun/src/s_finite.c
@@ -0,0 +1,35 @@
+/* @(#)s_finite.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_finite.c,v 1.6 1994/08/18 23:06:44 jtc Exp $";
+#endif
+
+/*
+ * finite(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int finite(double x)
+#else
+ int finite(x)
+ double x;
+#endif
+{
+ int32_t hx;
+ GET_HIGH_WORD(hx,x);
+ return (int)((u_int32_t)((hx&0x7fffffff)-0x7ff00000)>>31);
+}
diff --git a/lib/msun/src/s_finitef.c b/lib/msun/src/s_finitef.c
new file mode 100644
index 0000000..a2add12
--- /dev/null
+++ b/lib/msun/src/s_finitef.c
@@ -0,0 +1,38 @@
+/* s_finitef.c -- float version of s_finite.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_finitef.c,v 1.2 1994/08/18 23:06:45 jtc Exp $";
+#endif
+
+/*
+ * finitef(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int finitef(float x)
+#else
+ int finitef(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ return (int)((u_int32_t)((ix&0x7fffffff)-0x7f800000)>>31);
+}
diff --git a/lib/msun/src/s_floor.c b/lib/msun/src/s_floor.c
new file mode 100644
index 0000000..e76d00a
--- /dev/null
+++ b/lib/msun/src/s_floor.c
@@ -0,0 +1,81 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_floor.c,v 1.6 1994/08/18 23:06:47 jtc Exp $";
+#endif
+
+/*
+ * floor(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double floor(double x)
+#else
+ double floor(x)
+ double x;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=i1=0;}
+ else if(((i0&0x7fffffff)|i1)!=0)
+ { i0=0xbff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1+(1<<(52-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
diff --git a/lib/msun/src/s_floorf.c b/lib/msun/src/s_floorf.c
new file mode 100644
index 0000000..216a073
--- /dev/null
+++ b/lib/msun/src/s_floorf.c
@@ -0,0 +1,70 @@
+/* s_floorf.c -- float version of s_floor.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_floorf.c,v 1.2 1994/08/18 23:06:48 jtc Exp $";
+#endif
+
+/*
+ * floorf(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorf(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float floorf(float x)
+#else
+ float floorf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=0;}
+ else if((i0&0x7fffffff)!=0)
+ { i0=0xbf800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
diff --git a/lib/msun/src/s_frexp.c b/lib/msun/src/s_frexp.c
new file mode 100644
index 0000000..6bbec50
--- /dev/null
+++ b/lib/msun/src/s_frexp.c
@@ -0,0 +1,60 @@
+/* @(#)s_frexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_frexp.c,v 1.6 1994/08/18 23:06:49 jtc Exp $";
+#endif
+
+/*
+ * for non-zero x
+ * x = frexp(arg,&exp);
+ * return a double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
+
+#ifdef __STDC__
+ double frexp(double x, int *eptr)
+#else
+ double frexp(x, eptr)
+ double x; int *eptr;
+#endif
+{
+ int32_t hx, ix, lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x00100000) { /* subnormal */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -54;
+ }
+ *eptr += (ix>>20)-1022;
+ hx = (hx&0x800fffff)|0x3fe00000;
+ SET_HIGH_WORD(x,hx);
+ return x;
+}
diff --git a/lib/msun/src/s_frexpf.c b/lib/msun/src/s_frexpf.c
new file mode 100644
index 0000000..6e341fd
--- /dev/null
+++ b/lib/msun/src/s_frexpf.c
@@ -0,0 +1,53 @@
+/* s_frexpf.c -- float version of s_frexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_frexpf.c,v 1.2 1994/08/18 23:06:51 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+two25 = 3.3554432000e+07; /* 0x4c000000 */
+
+#ifdef __STDC__
+ float frexpf(float x, int *eptr)
+#else
+ float frexpf(x, eptr)
+ float x; int *eptr;
+#endif
+{
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */
+ if (ix<0x00800000) { /* subnormal */
+ x *= two25;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -25;
+ }
+ *eptr += (ix>>23)-126;
+ hx = (hx&0x807fffff)|0x3f000000;
+ *(int*)&x = hx;
+ return x;
+}
diff --git a/lib/msun/src/s_ilogb.c b/lib/msun/src/s_ilogb.c
new file mode 100644
index 0000000..1514cc4
--- /dev/null
+++ b/lib/msun/src/s_ilogb.c
@@ -0,0 +1,50 @@
+/* @(#)s_ilogb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ilogb.c,v 1.6 1994/08/18 23:06:52 jtc Exp $";
+#endif
+
+/* ilogb(double x)
+ * return the binary exponent of non-zero x
+ * ilogb(0) = 0x80000001
+ * ilogb(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int ilogb(double x)
+#else
+ int ilogb(x)
+ double x;
+#endif
+{
+ int32_t hx,lx,ix;
+
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00100000) {
+ if((hx|lx)==0)
+ return 0x80000001; /* ilogb(0) = 0x80000001 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -1022,hx<<=11; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7ff00000) return (hx>>20)-1023;
+ else return 0x7fffffff;
+}
diff --git a/lib/msun/src/s_ilogbf.c b/lib/msun/src/s_ilogbf.c
new file mode 100644
index 0000000..86bdda6
--- /dev/null
+++ b/lib/msun/src/s_ilogbf.c
@@ -0,0 +1,43 @@
+/* s_ilogbf.c -- float version of s_ilogb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ilogbf.c,v 1.2 1994/08/18 23:06:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int ilogbf(float x)
+#else
+ int ilogbf(x)
+ float x;
+#endif
+{
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00800000) {
+ if(hx==0)
+ return 0x80000001; /* ilogb(0) = 0x80000001 */
+ else /* subnormal x */
+ for (ix = -126,hx<<=8; hx>0; hx<<=1) ix -=1;
+ return ix;
+ }
+ else if (hx<0x7f800000) return (hx>>23)-127;
+ else return 0x7fffffff;
+}
diff --git a/lib/msun/src/s_isnan.c b/lib/msun/src/s_isnan.c
new file mode 100644
index 0000000..3f18f7d
--- /dev/null
+++ b/lib/msun/src/s_isnan.c
@@ -0,0 +1,38 @@
+/* @(#)s_isnan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_isnan.c,v 1.6 1994/08/18 23:06:54 jtc Exp $";
+#endif
+
+/*
+ * isnan(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int isnan(double x)
+#else
+ int isnan(x)
+ double x;
+#endif
+{
+ int32_t hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ hx |= (u_int32_t)(lx|(-lx))>>31;
+ hx = 0x7ff00000 - hx;
+ return (int)((u_int32_t)(hx))>>31;
+}
diff --git a/lib/msun/src/s_isnanf.c b/lib/msun/src/s_isnanf.c
new file mode 100644
index 0000000..1c74582
--- /dev/null
+++ b/lib/msun/src/s_isnanf.c
@@ -0,0 +1,40 @@
+/* s_isnanf.c -- float version of s_isnan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_isnanf.c,v 1.2 1994/08/18 23:06:56 jtc Exp $";
+#endif
+
+/*
+ * isnanf(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int isnanf(float x)
+#else
+ int isnanf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ ix = 0x7f800000 - ix;
+ return (int)(((u_int32_t)(ix))>>31);
+}
diff --git a/lib/msun/src/s_ldexp.c b/lib/msun/src/s_ldexp.c
new file mode 100644
index 0000000..824c2e7
--- /dev/null
+++ b/lib/msun/src/s_ldexp.c
@@ -0,0 +1,32 @@
+/* @(#)s_ldexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ldexp.c,v 1.4 1994/08/10 20:32:37 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ double ldexp(double value, int exp)
+#else
+ double ldexp(value, exp)
+ double value; int exp;
+#endif
+{
+ if(!finite(value)||value==0.0) return value;
+ value = scalbn(value,exp);
+ if(!finite(value)||value==0.0) errno = ERANGE;
+ return value;
+}
diff --git a/lib/msun/src/s_ldexpf.c b/lib/msun/src/s_ldexpf.c
new file mode 100644
index 0000000..cdb4476
--- /dev/null
+++ b/lib/msun/src/s_ldexpf.c
@@ -0,0 +1,35 @@
+/* s_ldexpf.c -- float version of s_ldexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_ldexpf.c,v 1.1 1994/08/10 20:32:39 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ float ldexpf(float value, int exp)
+#else
+ float ldexpf(value, exp)
+ float value; int exp;
+#endif
+{
+ if(!finitef(value)||value==(float)0.0) return value;
+ value = scalbnf(value,exp);
+ if(!finitef(value)||value==(float)0.0) errno = ERANGE;
+ return value;
+}
diff --git a/lib/msun/src/s_lib_version.c b/lib/msun/src/s_lib_version.c
new file mode 100644
index 0000000..d8c8750
--- /dev/null
+++ b/lib/msun/src/s_lib_version.c
@@ -0,0 +1,39 @@
+/* @(#)s_lib_ver.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_lib_version.c,v 1.4 1994/08/10 20:32:40 jtc Exp $";
+#endif
+
+/*
+ * MACRO for standards
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * define and initialize _LIB_VERSION
+ */
+#ifdef _POSIX_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _POSIX_;
+#else
+#ifdef _XOPEN_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _XOPEN_;
+#else
+#ifdef _SVID3_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _SVID_;
+#else /* default _IEEE_MODE */
+_LIB_VERSION_TYPE _LIB_VERSION = _IEEE_;
+#endif
+#endif
+#endif
diff --git a/lib/msun/src/s_log1p.c b/lib/msun/src/s_log1p.c
new file mode 100644
index 0000000..475c7ab
--- /dev/null
+++ b/lib/msun/src/s_log1p.c
@@ -0,0 +1,173 @@
+/* @(#)s_log1p.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_log1p.c,v 1.6 1994/08/18 23:06:59 jtc Exp $";
+#endif
+
+/* double log1p(double x)
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * 1+x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * Note. If k=0, then f=x is exact. However, if k!=0, then f
+ * may not be representable exactly. In that case, a correction
+ * term is need. Let u=1+x rounded. Let c = (1+x)-u, then
+ * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u),
+ * and add back the correction term c/u.
+ * (Note: when x > 2**53, one can simply return log(x))
+ *
+ * 2. Approximation of log1p(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) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s
+ * (the values of Lp1 to Lp7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lp1*s +...+Lp7*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
+ * log1p(f) = f - (hfsq - s*(hfsq+R)).
+ *
+ * 3. Finally, log1p(x) = k*ln2 + log1p(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:
+ * log1p(x) is NaN with signal if x < -1 (including -INF) ;
+ * log1p(+INF) is +INF; log1p(-1) is -INF with signal;
+ * log1p(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.
+ *
+ * Note: Assuming log() return accurate answer, the following
+ * algorithm can be used to compute log1p(x) to within a few ULP:
+ *
+ * u = 1+x;
+ * if(u==1.0) return x ; else
+ * return log(u)*(x/(u-1.0));
+ *
+ * See HP-15C Advanced Functions Handbook, p.193.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double log1p(double x)
+#else
+ double log1p(x)
+ double x;
+#endif
+{
+ double hfsq,f,c,s,z,R,u;
+ int32_t k,hx,hu,ax;
+
+ GET_HIGH_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3FDA827A) { /* x < 0.41422 */
+ if(ax>=0x3ff00000) { /* x <= -1.0 */
+ if(x==-1.0) return -two54/zero; /* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x3e200000) { /* |x| < 2**-29 */
+ if(two54+x>zero /* raise inexact */
+ &&ax<0x3c900000) /* |x| < 2**-54 */
+ return x;
+ else
+ return x - x*x*0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbfd2bec3)) {
+ k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ if(k!=0) {
+ if(hx<0x43400000) {
+ u = 1.0+x;
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */
+ c /= u;
+ } else {
+ u = x;
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = 0;
+ }
+ hu &= 0x000fffff;
+ if(hu<0x6a09e) {
+ SET_HIGH_WORD(u,hu|0x3ff00000); /* normalize u */
+ } else {
+ k += 1;
+ SET_HIGH_WORD(u,hu|0x3fe00000); /* normalize u/2 */
+ hu = (0x00100000-hu)>>2;
+ }
+ f = u-1.0;
+ }
+ hfsq=0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) if(k==0) return zero;
+ else {c += k*ln2_lo; return k*ln2_hi+c;}
+ R = hfsq*(1.0-0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/(2.0+f);
+ z = s*s;
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
diff --git a/lib/msun/src/s_log1pf.c b/lib/msun/src/s_log1pf.c
new file mode 100644
index 0000000..229bb82
--- /dev/null
+++ b/lib/msun/src/s_log1pf.c
@@ -0,0 +1,112 @@
+/* s_log1pf.c -- float version of s_log1p.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_log1pf.c,v 1.2 1994/08/18 23:07:02 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lp1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lp2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lp3 = 2.8571429849e-01, /* 3E924925 */
+Lp4 = 2.2222198546e-01, /* 3E638E29 */
+Lp5 = 1.8183572590e-01, /* 3E3A3325 */
+Lp6 = 1.5313838422e-01, /* 3E1CD04F */
+Lp7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float log1pf(float x)
+#else
+ float log1pf(x)
+ float x;
+#endif
+{
+ float hfsq,f,c,s,z,R,u;
+ int32_t k,hx,hu,ax;
+
+ GET_FLOAT_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3ed413d7) { /* x < 0.41422 */
+ if(ax>=0x3f800000) { /* x <= -1.0 */
+ if(x==(float)-1.0) return -two25/zero; /* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x31000000) { /* |x| < 2**-29 */
+ if(two25+x>zero /* raise inexact */
+ &&ax<0x24800000) /* |x| < 2**-54 */
+ return x;
+ else
+ return x - x*x*(float)0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbe95f61f)) {
+ k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
+ }
+ if (hx >= 0x7f800000) return x+x;
+ if(k!=0) {
+ if(hx<0x5a000000) {
+ u = (float)1.0+x;
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ /* correction term */
+ c = (k>0)? (float)1.0-(u-x):x-(u-(float)1.0);
+ c /= u;
+ } else {
+ u = x;
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ c = 0;
+ }
+ hu &= 0x007fffff;
+ if(hu<0x3504f7) {
+ SET_FLOAT_WORD(u,hu|0x3f800000);/* normalize u */
+ } else {
+ k += 1;
+ SET_FLOAT_WORD(u,hu|0x3f000000); /* normalize u/2 */
+ hu = (0x00800000-hu)>>2;
+ }
+ f = u-(float)1.0;
+ }
+ hfsq=(float)0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) if(k==0) return zero;
+ else {c += k*ln2_lo; return k*ln2_hi+c;}
+ R = hfsq*((float)1.0-(float)0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/((float)2.0+f);
+ z = s*s;
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
diff --git a/lib/msun/src/s_logb.c b/lib/msun/src/s_logb.c
new file mode 100644
index 0000000..d842cbf
--- /dev/null
+++ b/lib/msun/src/s_logb.c
@@ -0,0 +1,42 @@
+/* @(#)s_logb.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_logb.c,v 1.6 1994/08/18 23:07:04 jtc Exp $";
+#endif
+
+/*
+ * double logb(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double logb(double x)
+#else
+ double logb(x)
+ double x;
+#endif
+{
+ int32_t lx,ix;
+ EXTRACT_WORDS(ix,lx,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if((ix|lx)==0) return -1.0/fabs(x);
+ if(ix>=0x7ff00000) return x*x;
+ if((ix>>=20)==0) /* IEEE 754 logb */
+ return -1022.0;
+ else
+ return (double) (ix-1023);
+}
diff --git a/lib/msun/src/s_logbf.c b/lib/msun/src/s_logbf.c
new file mode 100644
index 0000000..0ee1bbe
--- /dev/null
+++ b/lib/msun/src/s_logbf.c
@@ -0,0 +1,39 @@
+/* s_logbf.c -- float version of s_logb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_logbf.c,v 1.2 1994/08/18 23:07:07 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float logbf(float x)
+#else
+ float logbf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if(ix==0) return (float)-1.0/fabsf(x);
+ if(ix>=0x7f800000) return x*x;
+ if((ix>>=23)==0) /* IEEE 754 logb */
+ return -126.0;
+ else
+ return (float) (ix-127);
+}
diff --git a/lib/msun/src/s_matherr.c b/lib/msun/src/s_matherr.c
new file mode 100644
index 0000000..102cde3
--- /dev/null
+++ b/lib/msun/src/s_matherr.c
@@ -0,0 +1,30 @@
+/* @(#)s_matherr.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_matherr.c,v 1.4 1994/08/10 20:32:52 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int matherr(struct exception *x)
+#else
+ int matherr(x)
+ struct exception *x;
+#endif
+{
+ int n=0;
+ if(x->arg1!=x->arg1) return 0;
+ return n;
+}
diff --git a/lib/msun/src/s_modf.c b/lib/msun/src/s_modf.c
new file mode 100644
index 0000000..2a3d243
--- /dev/null
+++ b/lib/msun/src/s_modf.c
@@ -0,0 +1,83 @@
+/* @(#)s_modf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_modf.c,v 1.6 1994/08/18 23:07:09 jtc Exp $";
+#endif
+
+/*
+ * modf(double x, double *iptr)
+ * return fraction part of x, and return x's integral part in *iptr.
+ * Method:
+ * Bit twiddling.
+ *
+ * Exception:
+ * No exception.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0;
+#else
+static double one = 1.0;
+#endif
+
+#ifdef __STDC__
+ double modf(double x, double *iptr)
+#else
+ double modf(x, iptr)
+ double x,*iptr;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */
+ if(j0<20) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ INSERT_WORDS(*iptr,i0&0x80000000,0); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>51) { /* no fraction part */
+ u_int32_t high;
+ *iptr = x*one;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else { /* fraction part in low x */
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) { /* x is integral */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
diff --git a/lib/msun/src/s_modff.c b/lib/msun/src/s_modff.c
new file mode 100644
index 0000000..63157e7
--- /dev/null
+++ b/lib/msun/src/s_modff.c
@@ -0,0 +1,64 @@
+/* s_modff.c -- float version of s_modf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_modff.c,v 1.2 1994/08/18 23:07:12 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0;
+#else
+static float one = 1.0;
+#endif
+
+#ifdef __STDC__
+ float modff(float x, float *iptr)
+#else
+ float modff(x, iptr)
+ float x,*iptr;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */
+ if(j0<23) { /* integer part in x */
+ if(j0<0) { /* |x|<1 */
+ SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) { /* x is integral */
+ u_int32_t ix;
+ *iptr = x;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ } else {
+ SET_FLOAT_WORD(*iptr,i0&(~i));
+ return x - *iptr;
+ }
+ }
+ } else { /* no fraction part */
+ u_int32_t ix;
+ *iptr = x*one;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ }
+}
diff --git a/lib/msun/src/s_nextafter.c b/lib/msun/src/s_nextafter.c
new file mode 100644
index 0000000..be480bc
--- /dev/null
+++ b/lib/msun/src/s_nextafter.c
@@ -0,0 +1,79 @@
+/* @(#)s_nextafter.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_nextafter.c,v 1.6 1994/08/18 23:07:13 jtc Exp $";
+#endif
+
+/* IEEE functions
+ * nextafter(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double nextafter(double x, double y)
+#else
+ double nextafter(x,y)
+ double x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
+ ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */
+ return x+y;
+ if(x==y) return x; /* x=y, return x */
+ if((ix|lx)==0) { /* x == 0 */
+ INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x < y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x > y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ }
+ hy = hx&0x7ff00000;
+ if(hy>=0x7ff00000) return x+x; /* overflow */
+ if(hy<0x00100000) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ INSERT_WORDS(y,hx,lx);
+ return y;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
diff --git a/lib/msun/src/s_nextafterf.c b/lib/msun/src/s_nextafterf.c
new file mode 100644
index 0000000..fa3a211
--- /dev/null
+++ b/lib/msun/src/s_nextafterf.c
@@ -0,0 +1,70 @@
+/* s_nextafterf.c -- float version of s_nextafter.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_nextafterf.c,v 1.2 1994/08/18 23:07:15 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float nextafterf(float x, float y)
+#else
+ float nextafterf(x,y)
+ float x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ (iy>0x7f800000)) /* y is nan */
+ return x+y;
+ if(x==y) return x; /* x=y, return x */
+ if(ix==0) { /* x == 0 */
+ SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy) { /* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy){ /* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(y,hx);
+ return y;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
diff --git a/lib/msun/src/s_rint.c b/lib/msun/src/s_rint.c
new file mode 100644
index 0000000..b324ed5
--- /dev/null
+++ b/lib/msun/src/s_rint.c
@@ -0,0 +1,86 @@
+/* @(#)s_rint.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_rint.c,v 1.6 1994/08/18 23:07:16 jtc Exp $";
+#endif
+
+/*
+ * rint(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rint(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+TWO52[2]={
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+#ifdef __STDC__
+ double rint(double x)
+#else
+ double rint(x)
+ double x;
+#endif
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ double w,t;
+ EXTRACT_WORDS(i0,i1,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) {
+ if(((i0&0x7fffffff)|i1)==0) return x;
+ i1 |= (i0&0x0fffff);
+ i0 &= 0xfffe0000;
+ i0 |= ((i1|-i1)>>12)&0x80000;
+ SET_HIGH_WORD(x,i0);
+ w = TWO52[sx]+x;
+ t = w-TWO52[sx];
+ GET_HIGH_WORD(i0,t);
+ SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==19) i1 = 0x40000000; else
+ i0 = (i0&(~i))|((0x20000)>>j0);
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
+ }
+ INSERT_WORDS(x,i0,i1);
+ w = TWO52[sx]+x;
+ return w-TWO52[sx];
+}
diff --git a/lib/msun/src/s_rintf.c b/lib/msun/src/s_rintf.c
new file mode 100644
index 0000000..855442f
--- /dev/null
+++ b/lib/msun/src/s_rintf.c
@@ -0,0 +1,71 @@
+/* s_rintf.c -- float version of s_rint.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_rintf.c,v 1.2 1994/08/18 23:07:17 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+};
+
+#ifdef __STDC__
+ float rintf(float x)
+#else
+ float rintf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ float w,t;
+ GET_FLOAT_WORD(i0,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) {
+ if((i0&0x7fffffff)==0) return x;
+ i1 = (i0&0x07fffff);
+ i0 &= 0xfff00000;
+ i0 |= ((i1|-i1)>>9)&0x400000;
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ t = w-TWO23[sx];
+ GET_FLOAT_WORD(i0,t);
+ SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i0&i)!=0) i0 = (i0&(~i))|((0x100000)>>j0);
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ return w-TWO23[sx];
+}
diff --git a/lib/msun/src/s_scalbn.c b/lib/msun/src/s_scalbn.c
new file mode 100644
index 0000000..1effa62
--- /dev/null
+++ b/lib/msun/src/s_scalbn.c
@@ -0,0 +1,66 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_scalbn.c,v 1.6 1994/08/18 23:10:13 jtc Exp $";
+#endif
+
+/*
+ * scalbn (double x, int n)
+ * scalbn(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
+huge = 1.0e+300,
+tiny = 1.0e-300;
+
+#ifdef __STDC__
+ double scalbn (double x, int n)
+#else
+ double scalbn (x,n)
+ double x; int n;
+#endif
+{
+ int32_t k,hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ k = (hx&0x7ff00000)>>20; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ k = ((hx&0x7ff00000)>>20) - 54;
+ if (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0x7ff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
+ if (k <= -54)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysign(huge,x); /*overflow*/
+ else return tiny*copysign(tiny,x); /*underflow*/
+ k += 54; /* subnormal result */
+ SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
+ return x*twom54;
+}
diff --git a/lib/msun/src/s_scalbnf.c b/lib/msun/src/s_scalbnf.c
new file mode 100644
index 0000000..bae30d9
--- /dev/null
+++ b/lib/msun/src/s_scalbnf.c
@@ -0,0 +1,62 @@
+/* s_scalbnf.c -- float version of s_scalbn.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_scalbnf.c,v 1.2 1994/08/18 23:10:15 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.355443200e+07, /* 0x4c000000 */
+twom25 = 2.9802322388e-08, /* 0x33000000 */
+huge = 1.0e+30,
+tiny = 1.0e-30;
+
+#ifdef __STDC__
+ float scalbnf (float x, int n)
+#else
+ float scalbn (x,n)
+ float x; int n;
+#endif
+{
+ int32_t k,ix;
+ GET_FLOAT_WORD(ix,x);
+ k = (ix&0x7f800000)>>23; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((ix&0x7fffffff)==0) return x; /* +-0 */
+ x *= two25;
+ GET_FLOAT_WORD(ix,x);
+ k = ((ix&0x7f800000)>>23) - 25;
+ if (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0xff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0xfe) return huge*copysignf(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+ if (k <= -25)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysignf(huge,x); /*overflow*/
+ else return tiny*copysignf(tiny,x); /*underflow*/
+ k += 25; /* subnormal result */
+ SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
+ return x*twom25;
+}
diff --git a/lib/msun/src/s_signgam.c b/lib/msun/src/s_signgam.c
new file mode 100644
index 0000000..d67d591
--- /dev/null
+++ b/lib/msun/src/s_signgam.c
@@ -0,0 +1,3 @@
+#include "math.h"
+#include "math_private.h"
+int signgam = 0;
diff --git a/lib/msun/src/s_significand.c b/lib/msun/src/s_significand.c
new file mode 100644
index 0000000..424dbe9
--- /dev/null
+++ b/lib/msun/src/s_significand.c
@@ -0,0 +1,34 @@
+/* @(#)s_signif.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.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_significand.c,v 1.4 1994/08/10 20:33:06 jtc Exp $";
+#endif
+
+/*
+ * significand(x) computes just
+ * scalb(x, (double) -ilogb(x)),
+ * for exercising the fraction-part(F) IEEE 754-1985 test vector.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double significand(double x)
+#else
+ double significand(x)
+ double x;
+#endif
+{
+ return __ieee754_scalb(x,(double) -ilogb(x));
+}
diff --git a/lib/msun/src/s_significandf.c b/lib/msun/src/s_significandf.c
new file mode 100644
index 0000000..883b339
--- /dev/null
+++ b/lib/msun/src/s_significandf.c
@@ -0,0 +1,31 @@
+/* s_significandf.c -- float version of s_significand.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_significandf.c,v 1.1 1994/08/10 20:33:07 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float significandf(float x)
+#else
+ float significandf(x)
+ float x;
+#endif
+{
+ return __ieee754_scalbf(x,(float) -ilogbf(x));
+}
diff --git a/lib/msun/src/s_sin.c b/lib/msun/src/s_sin.c
new file mode 100644
index 0000000..eff762a
--- /dev/null
+++ b/lib/msun/src/s_sin.c
@@ -0,0 +1,82 @@
+/* @(#)s_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_sin.c,v 1.5 1994/08/18 23:10:17 jtc Exp $";
+#endif
+
+/* sin(x)
+ * Return sine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cose function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double sin(double x)
+#else
+ double sin(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_sin(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sin(y[0],y[1],1);
+ case 1: return __kernel_cos(y[0],y[1]);
+ case 2: return -__kernel_sin(y[0],y[1],1);
+ default:
+ return -__kernel_cos(y[0],y[1]);
+ }
+ }
+}
diff --git a/lib/msun/src/s_sinf.c b/lib/msun/src/s_sinf.c
new file mode 100644
index 0000000..b2fafe2
--- /dev/null
+++ b/lib/msun/src/s_sinf.c
@@ -0,0 +1,53 @@
+/* s_sinf.c -- float version of s_sin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_sinf.c,v 1.2 1994/08/18 23:10:18 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float sinf(float x)
+#else
+ float sinf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sinf(y[0],y[1],1);
+ case 1: return __kernel_cosf(y[0],y[1]);
+ case 2: return -__kernel_sinf(y[0],y[1],1);
+ default:
+ return -__kernel_cosf(y[0],y[1]);
+ }
+ }
+}
diff --git a/lib/msun/src/s_tan.c b/lib/msun/src/s_tan.c
new file mode 100644
index 0000000..97f7849
--- /dev/null
+++ b/lib/msun/src/s_tan.c
@@ -0,0 +1,76 @@
+/* @(#)s_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_tan.c,v 1.5 1994/08/18 23:10:19 jtc Exp $";
+#endif
+
+/* tan(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ * __kernel_tan ... tangent function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double tan(double x)
+#else
+ double tan(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_tan(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
diff --git a/lib/msun/src/s_tanf.c b/lib/msun/src/s_tanf.c
new file mode 100644
index 0000000..dd993a6
--- /dev/null
+++ b/lib/msun/src/s_tanf.c
@@ -0,0 +1,48 @@
+/* s_tanf.c -- float version of s_tan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_tanf.c,v 1.2 1994/08/18 23:10:20 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float tanf(float x)
+#else
+ float tanf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fda) return __kernel_tanf(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ return __kernel_tanf(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
diff --git a/lib/msun/src/s_tanh.c b/lib/msun/src/s_tanh.c
new file mode 100644
index 0000000..c987a1a
--- /dev/null
+++ b/lib/msun/src/s_tanh.c
@@ -0,0 +1,86 @@
+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_tanh.c,v 1.5 1994/08/18 23:10:22 jtc Exp $";
+#endif
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanh(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanh(-x) = -tanh(x).
+ * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x)
+ * -t
+ * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x)
+ * t + 2
+ * 22.0 < x <= INF : tanh(x) := 1.
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only tanh(0)=0 is exact for finite argument.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one=1.0, two=2.0, tiny = 1.0e-300;
+#else
+static double one=1.0, two=2.0, tiny = 1.0e-300;
+#endif
+
+#ifdef __STDC__
+ double tanh(double x)
+#else
+ double tanh(x)
+ double x;
+#endif
+{
+ double t,z;
+ int32_t jx,ix;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3c800000) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3ff00000) { /* |x|>=1 */
+ t = expm1(two*fabs(x));
+ z = one - two/(t+two);
+ } else {
+ t = expm1(-two*fabs(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
diff --git a/lib/msun/src/s_tanhf.c b/lib/msun/src/s_tanhf.c
new file mode 100644
index 0000000..aa14176
--- /dev/null
+++ b/lib/msun/src/s_tanhf.c
@@ -0,0 +1,64 @@
+/* s_tanhf.c -- float version of s_tanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: s_tanhf.c,v 1.2 1994/08/18 23:10:23 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0, two=2.0, tiny = 1.0e-30;
+#else
+static float one=1.0, two=2.0, tiny = 1.0e-30;
+#endif
+
+#ifdef __STDC__
+ float tanhf(float x)
+#else
+ float tanhf(x)
+ float x;
+#endif
+{
+ float t,z;
+ int32_t jx,ix;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix<0x24000000) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3f800000) { /* |x|>=1 */
+ t = expm1f(two*fabsf(x));
+ z = one - two/(t+two);
+ } else {
+ t = expm1f(-two*fabsf(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
diff --git a/lib/msun/src/w_acos.c b/lib/msun/src/w_acos.c
new file mode 100644
index 0000000..b5fefeb
--- /dev/null
+++ b/lib/msun/src/w_acos.c
@@ -0,0 +1,43 @@
+/* @(#)w_acos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_acos.c,v 1.4 1994/08/10 20:33:18 jtc Exp $";
+#endif
+
+/*
+ * wrap_acos(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double acos(double x) /* wrapper acos */
+#else
+ double acos(x) /* wrapper acos */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acos(x);
+#else
+ double z;
+ z = __ieee754_acos(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ return __kernel_standard(x,x,1); /* acos(|x|>1) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_acosf.c b/lib/msun/src/w_acosf.c
new file mode 100644
index 0000000..6c8fc6f
--- /dev/null
+++ b/lib/msun/src/w_acosf.c
@@ -0,0 +1,47 @@
+/* w_acosf.c -- float version of w_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_acosf.c,v 1.1 1994/08/10 20:33:23 jtc Exp $";
+#endif
+
+/*
+ * wrap_acosf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float acosf(float x) /* wrapper acosf */
+#else
+ float acosf(x) /* wrapper acosf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acosf(x);
+#else
+ float z;
+ z = __ieee754_acosf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* acosf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,101);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_acosh.c b/lib/msun/src/w_acosh.c
new file mode 100644
index 0000000..306cd31
--- /dev/null
+++ b/lib/msun/src/w_acosh.c
@@ -0,0 +1,42 @@
+/* @(#)w_acosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_acosh.c,v 1.4 1994/08/10 20:33:25 jtc Exp $";
+#endif
+
+/*
+ * wrapper acosh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double acosh(double x) /* wrapper acosh */
+#else
+ double acosh(x) /* wrapper acosh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acosh(x);
+#else
+ double z;
+ z = __ieee754_acosh(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(x<1.0) {
+ return __kernel_standard(x,x,29); /* acosh(x<1) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_acoshf.c b/lib/msun/src/w_acoshf.c
new file mode 100644
index 0000000..5ba01e4
--- /dev/null
+++ b/lib/msun/src/w_acoshf.c
@@ -0,0 +1,47 @@
+/* w_acoshf.c -- float version of w_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_acoshf.c,v 1.1 1994/08/10 20:33:28 jtc Exp $";
+#endif
+
+/*
+ * wrapper acoshf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float acoshf(float x) /* wrapper acoshf */
+#else
+ float acoshf(x) /* wrapper acoshf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acoshf(x);
+#else
+ float z;
+ z = __ieee754_acoshf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(x<(float)1.0) {
+ /* acosh(x<1) */
+ return (float)__kernel_standard((double)x,(double)x,129);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_asin.c b/lib/msun/src/w_asin.c
new file mode 100644
index 0000000..f28c018
--- /dev/null
+++ b/lib/msun/src/w_asin.c
@@ -0,0 +1,44 @@
+/* @(#)w_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_asin.c,v 1.4 1994/08/10 20:33:30 jtc Exp $";
+#endif
+
+/*
+ * wrapper asin(x)
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double asin(double x) /* wrapper asin */
+#else
+ double asin(x) /* wrapper asin */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_asin(x);
+#else
+ double z;
+ z = __ieee754_asin(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ return __kernel_standard(x,x,2); /* asin(|x|>1) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_asinf.c b/lib/msun/src/w_asinf.c
new file mode 100644
index 0000000..bdad943
--- /dev/null
+++ b/lib/msun/src/w_asinf.c
@@ -0,0 +1,48 @@
+/* w_asinf.c -- float version of w_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_asinf.c,v 1.1 1994/08/10 20:33:34 jtc Exp $";
+#endif
+
+/*
+ * wrapper asinf(x)
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float asinf(float x) /* wrapper asinf */
+#else
+ float asinf(x) /* wrapper asinf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_asinf(x);
+#else
+ float z;
+ z = __ieee754_asinf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* asinf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,102);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_atan2.c b/lib/msun/src/w_atan2.c
new file mode 100644
index 0000000..1d4055d
--- /dev/null
+++ b/lib/msun/src/w_atan2.c
@@ -0,0 +1,43 @@
+/* @(#)w_atan2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_atan2.c,v 1.4 1994/08/10 20:33:38 jtc Exp $";
+#endif
+
+/*
+ * wrapper atan2(y,x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double atan2(double y, double x) /* wrapper atan2 */
+#else
+ double atan2(y,x) /* wrapper atan2 */
+ double y,x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atan2(y,x);
+#else
+ double z;
+ z = __ieee754_atan2(y,x);
+ if(_LIB_VERSION == _IEEE_||isnan(x)||isnan(y)) return z;
+ if(x==0.0&&y==0.0) {
+ return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_atan2f.c b/lib/msun/src/w_atan2f.c
new file mode 100644
index 0000000..376e3c0
--- /dev/null
+++ b/lib/msun/src/w_atan2f.c
@@ -0,0 +1,47 @@
+/* w_atan2f.c -- float version of w_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_atan2f.c,v 1.1 1994/08/10 20:33:41 jtc Exp $";
+#endif
+
+/*
+ * wrapper atan2f(y,x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float atan2f(float y, float x) /* wrapper atan2f */
+#else
+ float atan2f(y,x) /* wrapper atan2 */
+ float y,x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atan2f(y,x);
+#else
+ float z;
+ z = __ieee754_atan2f(y,x);
+ if(_LIB_VERSION == _IEEE_||isnanf(x)||isnanf(y)) return z;
+ if(x==(float)0.0&&y==(float)0.0) {
+ /* atan2f(+-0,+-0) */
+ return (float)__kernel_standard((double)y,(double)x,103);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_atanh.c b/lib/msun/src/w_atanh.c
new file mode 100644
index 0000000..5c4d3276
--- /dev/null
+++ b/lib/msun/src/w_atanh.c
@@ -0,0 +1,47 @@
+/* @(#)w_atanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_atanh.c,v 1.4 1994/08/10 20:33:45 jtc Exp $";
+#endif
+
+/*
+ * wrapper atanh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double atanh(double x) /* wrapper atanh */
+#else
+ double atanh(x) /* wrapper atanh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atanh(x);
+#else
+ double z,y;
+ z = __ieee754_atanh(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ y = fabs(x);
+ if(y>=1.0) {
+ if(y>1.0)
+ return __kernel_standard(x,x,30); /* atanh(|x|>1) */
+ else
+ return __kernel_standard(x,x,31); /* atanh(|x|==1) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_atanhf.c b/lib/msun/src/w_atanhf.c
new file mode 100644
index 0000000..cbf8441
--- /dev/null
+++ b/lib/msun/src/w_atanhf.c
@@ -0,0 +1,52 @@
+/* w_atanhf.c -- float version of w_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_atanhf.c,v 1.1 1994/08/10 20:33:48 jtc Exp $";
+#endif
+
+/*
+ * wrapper atanhf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float atanhf(float x) /* wrapper atanhf */
+#else
+ float atanhf(x) /* wrapper atanhf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atanhf(x);
+#else
+ float z,y;
+ z = __ieee754_atanhf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ y = fabsf(x);
+ if(y>=(float)1.0) {
+ if(y>(float)1.0)
+ /* atanhf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,130);
+ else
+ /* atanhf(|x|==1) */
+ return (float)__kernel_standard((double)x,(double)x,131);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_cabs.c b/lib/msun/src/w_cabs.c
new file mode 100644
index 0000000..f55a2dd
--- /dev/null
+++ b/lib/msun/src/w_cabs.c
@@ -0,0 +1,20 @@
+/*
+ * cabs() wrapper for hypot().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <math.h>
+
+struct complex {
+ double x;
+ double y;
+};
+
+double
+cabs(z)
+ struct complex z;
+{
+ return hypot(z.x, z.y);
+}
diff --git a/lib/msun/src/w_cabsf.c b/lib/msun/src/w_cabsf.c
new file mode 100644
index 0000000..d957a06
--- /dev/null
+++ b/lib/msun/src/w_cabsf.c
@@ -0,0 +1,21 @@
+/*
+ * cabsf() wrapper for hypotf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+struct complex {
+ float x;
+ float y;
+};
+
+float
+cabsf(z)
+ struct complex z;
+{
+ return hypotf(z.x, z.y);
+}
diff --git a/lib/msun/src/w_cosh.c b/lib/msun/src/w_cosh.c
new file mode 100644
index 0000000..02d3a3c
--- /dev/null
+++ b/lib/msun/src/w_cosh.c
@@ -0,0 +1,42 @@
+/* @(#)w_cosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_cosh.c,v 1.4 1994/08/10 20:33:54 jtc Exp $";
+#endif
+
+/*
+ * wrapper cosh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double cosh(double x) /* wrapper cosh */
+#else
+ double cosh(x) /* wrapper cosh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_cosh(x);
+#else
+ double z;
+ z = __ieee754_cosh(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>7.10475860073943863426e+02) {
+ return __kernel_standard(x,x,5); /* cosh overflow */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_coshf.c b/lib/msun/src/w_coshf.c
new file mode 100644
index 0000000..eddc5f5
--- /dev/null
+++ b/lib/msun/src/w_coshf.c
@@ -0,0 +1,46 @@
+/* w_coshf.c -- float version of w_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_coshf.c,v 1.1 1994/08/10 20:33:56 jtc Exp $";
+#endif
+
+/*
+ * wrapper coshf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float coshf(float x) /* wrapper coshf */
+#else
+ float coshf(x) /* wrapper coshf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_coshf(x);
+#else
+ float z;
+ z = __ieee754_coshf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)8.9415985107e+01) {
+ /* cosh overflow */
+ return (float)__kernel_standard((double)x,(double)x,105);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_drem.c b/lib/msun/src/w_drem.c
new file mode 100644
index 0000000..7f50493
--- /dev/null
+++ b/lib/msun/src/w_drem.c
@@ -0,0 +1,15 @@
+/*
+ * drem() wrapper for remainder().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <math.h>
+
+double
+drem(x, y)
+ double x, y;
+{
+ return remainder(x, y);
+}
diff --git a/lib/msun/src/w_dremf.c b/lib/msun/src/w_dremf.c
new file mode 100644
index 0000000..9f1de53
--- /dev/null
+++ b/lib/msun/src/w_dremf.c
@@ -0,0 +1,16 @@
+/*
+ * dremf() wrapper for remainderf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+dremf(x, y)
+ float x, y;
+{
+ return remainderf(x, y);
+}
diff --git a/lib/msun/src/w_exp.c b/lib/msun/src/w_exp.c
new file mode 100644
index 0000000..80f213b
--- /dev/null
+++ b/lib/msun/src/w_exp.c
@@ -0,0 +1,53 @@
+/* @(#)w_exp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_exp.c,v 1.4 1994/08/10 20:34:00 jtc Exp $";
+#endif
+
+/*
+ * wrapper exp(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
+
+#ifdef __STDC__
+ double exp(double x) /* wrapper exp */
+#else
+ double exp(x) /* wrapper exp */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_exp(x);
+#else
+ double z;
+ z = __ieee754_exp(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(finite(x)) {
+ if(x>o_threshold)
+ return __kernel_standard(x,x,6); /* exp overflow */
+ else if(x<u_threshold)
+ return __kernel_standard(x,x,7); /* exp underflow */
+ }
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_expf.c b/lib/msun/src/w_expf.c
new file mode 100644
index 0000000..62a7773
--- /dev/null
+++ b/lib/msun/src/w_expf.c
@@ -0,0 +1,58 @@
+/* w_expf.c -- float version of w_exp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_expf.c,v 1.1 1994/08/10 20:34:03 jtc Exp $";
+#endif
+
+/*
+ * wrapper expf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02; /* 0xc2cff1b5 */
+
+#ifdef __STDC__
+ float expf(float x) /* wrapper expf */
+#else
+ float expf(x) /* wrapper expf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_expf(x);
+#else
+ float z;
+ z = __ieee754_expf(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(finitef(x)) {
+ if(x>o_threshold)
+ /* exp overflow */
+ return (float)__kernel_standard((double)x,(double)x,106);
+ else if(x<u_threshold)
+ /* exp underflow */
+ return (float)__kernel_standard((double)x,(double)x,107);
+ }
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_fmod.c b/lib/msun/src/w_fmod.c
new file mode 100644
index 0000000..234a342
--- /dev/null
+++ b/lib/msun/src/w_fmod.c
@@ -0,0 +1,43 @@
+/* @(#)w_fmod.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_fmod.c,v 1.4 1994/08/10 20:34:05 jtc Exp $";
+#endif
+
+/*
+ * wrapper fmod(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double fmod(double x, double y) /* wrapper fmod */
+#else
+ double fmod(x,y) /* wrapper fmod */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_fmod(x,y);
+#else
+ double z;
+ z = __ieee754_fmod(x,y);
+ if(_LIB_VERSION == _IEEE_ ||isnan(y)||isnan(x)) return z;
+ if(y==0.0) {
+ return __kernel_standard(x,y,27); /* fmod(x,0) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_fmodf.c b/lib/msun/src/w_fmodf.c
new file mode 100644
index 0000000..8081ed4
--- /dev/null
+++ b/lib/msun/src/w_fmodf.c
@@ -0,0 +1,47 @@
+/* w_fmodf.c -- float version of w_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_fmodf.c,v 1.1 1994/08/10 20:34:07 jtc Exp $";
+#endif
+
+/*
+ * wrapper fmodf(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float fmodf(float x, float y) /* wrapper fmodf */
+#else
+ float fmodf(x,y) /* wrapper fmodf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_fmodf(x,y);
+#else
+ float z;
+ z = __ieee754_fmodf(x,y);
+ if(_LIB_VERSION == _IEEE_ ||isnanf(y)||isnanf(x)) return z;
+ if(y==(float)0.0) {
+ /* fmodf(x,0) */
+ return (float)__kernel_standard((double)x,(double)y,127);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_gamma.c b/lib/msun/src/w_gamma.c
new file mode 100644
index 0000000..f32f286
--- /dev/null
+++ b/lib/msun/src/w_gamma.c
@@ -0,0 +1,49 @@
+/* @(#)w_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_gamma.c,v 1.4 1994/08/10 20:34:09 jtc Exp $";
+#endif
+
+/* double gamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call gamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double gamma(double x)
+#else
+ double gamma(x)
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gamma_r(x,&signgam);
+#else
+ double y;
+ y = __ieee754_gamma_r(x,&signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finite(y)&&finite(x)) {
+ if(floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,41); /* gamma pole */
+ else
+ return __kernel_standard(x,x,40); /* gamma overflow */
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_gamma_r.c b/lib/msun/src/w_gamma_r.c
new file mode 100644
index 0000000..b31486e
--- /dev/null
+++ b/lib/msun/src/w_gamma_r.c
@@ -0,0 +1,46 @@
+/* @(#)wr_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_gamma_r.c,v 1.4 1994/08/10 20:34:13 jtc Exp $";
+#endif
+
+/*
+ * wrapper double gamma_r(double x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double gamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double gamma_r(x,signgamp) /* wrapper lgamma_r */
+ double x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gamma_r(x,signgamp);
+#else
+ double y;
+ y = __ieee754_gamma_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finite(y)&&finite(x)) {
+ if(floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,41); /* gamma pole */
+ else
+ return __kernel_standard(x,x,40); /* gamma overflow */
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_gammaf.c b/lib/msun/src/w_gammaf.c
new file mode 100644
index 0000000..1183c79
--- /dev/null
+++ b/lib/msun/src/w_gammaf.c
@@ -0,0 +1,48 @@
+/* w_gammaf.c -- float version of w_gamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_gammaf.c,v 1.1 1994/08/10 20:34:16 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ float gammaf(float x)
+#else
+ float gammaf(x)
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gammaf_r(x,&signgam);
+#else
+ float y;
+ y = __ieee754_gammaf_r(x,&signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finitef(y)&&finitef(x)) {
+ if(floorf(x)==x&&x<=(float)0.0)
+ /* gammaf pole */
+ return (float)__kernel_standard((double)x,(double)x,141);
+ else
+ /* gammaf overflow */
+ return (float)__kernel_standard((double)x,(double)x,140);
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_gammaf_r.c b/lib/msun/src/w_gammaf_r.c
new file mode 100644
index 0000000..0fd1f6c
--- /dev/null
+++ b/lib/msun/src/w_gammaf_r.c
@@ -0,0 +1,51 @@
+/* w_gammaf_r.c -- float version of w_gamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_gammaf_r.c,v 1.1 1994/08/10 20:34:20 jtc Exp $";
+#endif
+
+/*
+ * wrapper float gammaf_r(float x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float gammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */
+#else
+ float gammaf_r(x,signgamp) /* wrapper lgammaf_r */
+ float x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gammaf_r(x,signgamp);
+#else
+ float y;
+ y = __ieee754_gammaf_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finitef(y)&&finitef(x)) {
+ if(floorf(x)==x&&x<=(float)0.0)
+ /* gammaf pole */
+ return (float)__kernel_standard((double)x,(double)x,141);
+ else
+ /* gamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,140);
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_hypot.c b/lib/msun/src/w_hypot.c
new file mode 100644
index 0000000..8c61649
--- /dev/null
+++ b/lib/msun/src/w_hypot.c
@@ -0,0 +1,43 @@
+/* @(#)w_hypot.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_hypot.c,v 1.4 1994/08/10 20:34:24 jtc Exp $";
+#endif
+
+/*
+ * wrapper hypot(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double hypot(double x, double y)/* wrapper hypot */
+#else
+ double hypot(x,y) /* wrapper hypot */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_hypot(x,y);
+#else
+ double z;
+ z = __ieee754_hypot(x,y);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if((!finite(z))&&finite(x)&&finite(y))
+ return __kernel_standard(x,y,4); /* hypot overflow */
+ else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_hypotf.c b/lib/msun/src/w_hypotf.c
new file mode 100644
index 0000000..c8ddb97
--- /dev/null
+++ b/lib/msun/src/w_hypotf.c
@@ -0,0 +1,47 @@
+/* w_hypotf.c -- float version of w_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_hypotf.c,v 1.1 1994/08/10 20:34:27 jtc Exp $";
+#endif
+
+/*
+ * wrapper hypotf(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float hypotf(float x, float y) /* wrapper hypotf */
+#else
+ float hypotf(x,y) /* wrapper hypotf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_hypotf(x,y);
+#else
+ float z;
+ z = __ieee754_hypotf(x,y);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if((!finitef(z))&&finitef(x)&&finitef(y))
+ /* hypot overflow */
+ return (float)__kernel_standard((double)x,(double)y,104);
+ else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_j0.c b/lib/msun/src/w_j0.c
new file mode 100644
index 0000000..199f851
--- /dev/null
+++ b/lib/msun/src/w_j0.c
@@ -0,0 +1,69 @@
+/* @(#)w_j0.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_j0.c,v 1.4 1994/08/10 20:34:29 jtc Exp $";
+#endif
+
+/*
+ * wrapper j0(double x), y0(double x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double j0(double x) /* wrapper j0 */
+#else
+ double j0(x) /* wrapper j0 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j0(x);
+#else
+ double z = __ieee754_j0(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,34); /* j0(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double y0(double x) /* wrapper y0 */
+#else
+ double y0(x) /* wrapper y0 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y0(x);
+#else
+ double z;
+ z = __ieee754_y0(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard(x,x,8);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard(x,x,9);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard(x,x,35); /* y0(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_j0f.c b/lib/msun/src/w_j0f.c
new file mode 100644
index 0000000..33e201c
--- /dev/null
+++ b/lib/msun/src/w_j0f.c
@@ -0,0 +1,74 @@
+/* w_j0f.c -- float version of w_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_j0f.c,v 1.1 1994/08/10 20:34:32 jtc Exp $";
+#endif
+
+/*
+ * wrapper j0f(float x), y0f(float x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float j0f(float x) /* wrapper j0f */
+#else
+ float j0f(x) /* wrapper j0f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j0f(x);
+#else
+ float z = __ieee754_j0f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* j0f(|x|>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,134);
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ float y0f(float x) /* wrapper y0f */
+#else
+ float y0f(x) /* wrapper y0f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y0f(x);
+#else
+ float z;
+ z = __ieee754_y0f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,108);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,109);
+ }
+ if(x>(float)X_TLOSS) {
+ /* y0(x>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,135);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_j1.c b/lib/msun/src/w_j1.c
new file mode 100644
index 0000000..38792b6
--- /dev/null
+++ b/lib/msun/src/w_j1.c
@@ -0,0 +1,70 @@
+/* @(#)w_j1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_j1.c,v 1.4 1994/08/10 20:34:35 jtc Exp $";
+#endif
+
+/*
+ * wrapper of j1,y1
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double j1(double x) /* wrapper j1 */
+#else
+ double j1(x) /* wrapper j1 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j1(x);
+#else
+ double z;
+ z = __ieee754_j1(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,36); /* j1(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double y1(double x) /* wrapper y1 */
+#else
+ double y1(x) /* wrapper y1 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y1(x);
+#else
+ double z;
+ z = __ieee754_y1(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard(x,x,10);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard(x,x,11);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard(x,x,37); /* y1(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_j1f.c b/lib/msun/src/w_j1f.c
new file mode 100644
index 0000000..506b823
--- /dev/null
+++ b/lib/msun/src/w_j1f.c
@@ -0,0 +1,75 @@
+/* w_j1f.c -- float version of w_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_j1f.c,v 1.1 1994/08/10 20:34:39 jtc Exp $";
+#endif
+
+/*
+ * wrapper of j1f,y1f
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float j1f(float x) /* wrapper j1f */
+#else
+ float j1f(x) /* wrapper j1f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j1f(x);
+#else
+ float z;
+ z = __ieee754_j1f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* j1(|x|>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,136);
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ float y1f(float x) /* wrapper y1f */
+#else
+ float y1f(x) /* wrapper y1f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y1f(x);
+#else
+ float z;
+ z = __ieee754_y1f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,110);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,111);
+ }
+ if(x>(float)X_TLOSS) {
+ /* y1(x>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,137);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_jn.c b/lib/msun/src/w_jn.c
new file mode 100644
index 0000000..9862650
--- /dev/null
+++ b/lib/msun/src/w_jn.c
@@ -0,0 +1,92 @@
+/* @(#)w_jn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_jn.c,v 1.4 1994/08/10 20:34:42 jtc Exp $";
+#endif
+
+/*
+ * wrapper jn(int n, double x), yn(int n, double x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *
+ * Special cases:
+ * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About jn(n,x), yn(n,x)
+ * For n=0, j0(x) is called,
+ * for n=1, j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of j0(x) and j1(x).
+ * for n>x, a continued fraction approximation to
+ * j(n,x)/j(n-1,x) is evaluated and then backward
+ * recursion is used starting from a supposed value
+ * for j(n,x). The resulting value of j(0,x) is
+ * compared with the actual value to correct the
+ * supposed value of j(n,x).
+ *
+ * yn(n,x) is similar in all respects, except
+ * that forward recursion is used for all
+ * values of n>1.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double jn(int n, double x) /* wrapper jn */
+#else
+ double jn(n,x) /* wrapper jn */
+ double x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_jn(n,x);
+#else
+ double z;
+ z = __ieee754_jn(n,x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double yn(int n, double x) /* wrapper yn */
+#else
+ double yn(n,x) /* wrapper yn */
+ double x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_yn(n,x);
+#else
+ double z;
+ z = __ieee754_yn(n,x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard((double)n,x,12);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard((double)n,x,13);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_jnf.c b/lib/msun/src/w_jnf.c
new file mode 100644
index 0000000..0b33800
--- /dev/null
+++ b/lib/msun/src/w_jnf.c
@@ -0,0 +1,71 @@
+/* w_jnf.c -- float version of w_jn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_jnf.c,v 1.1 1994/08/10 20:34:47 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float jnf(int n, float x) /* wrapper jnf */
+#else
+ float jnf(n,x) /* wrapper jnf */
+ float x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_jnf(n,x);
+#else
+ float z;
+ z = __ieee754_jnf(n,x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* jn(|x|>X_TLOSS,n) */
+ return (float)__kernel_standard((double)n,(double)x,138);
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ float ynf(int n, float x) /* wrapper ynf */
+#else
+ float ynf(n,x) /* wrapper ynf */
+ float x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_ynf(n,x);
+#else
+ float z;
+ z = __ieee754_ynf(n,x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)n,(double)x,112);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)n,(double)x,113);
+ }
+ if(x>(float)X_TLOSS) {
+ /* yn(x>X_TLOSS,n) */
+ return (float)__kernel_standard((double)n,(double)x,139);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_lgamma.c b/lib/msun/src/w_lgamma.c
new file mode 100644
index 0000000..59892e3
--- /dev/null
+++ b/lib/msun/src/w_lgamma.c
@@ -0,0 +1,49 @@
+/* @(#)w_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_lgamma.c,v 1.4 1994/08/10 20:34:53 jtc Exp $";
+#endif
+
+/* double lgamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double lgamma(double x)
+#else
+ double lgamma(x)
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,&signgam);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,&signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finite(y)&&finite(x)) {
+ if(floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,15); /* lgamma pole */
+ else
+ return __kernel_standard(x,x,14); /* lgamma overflow */
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_lgamma_r.c b/lib/msun/src/w_lgamma_r.c
new file mode 100644
index 0000000..52117c0
--- /dev/null
+++ b/lib/msun/src/w_lgamma_r.c
@@ -0,0 +1,46 @@
+/* @(#)wr_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_lgamma_r.c,v 1.4 1994/08/10 20:34:57 jtc Exp $";
+#endif
+
+/*
+ * wrapper double lgamma_r(double x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double lgamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double lgamma_r(x,signgamp) /* wrapper lgamma_r */
+ double x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,signgamp);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finite(y)&&finite(x)) {
+ if(floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,15); /* lgamma pole */
+ else
+ return __kernel_standard(x,x,14); /* lgamma overflow */
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_lgammaf.c b/lib/msun/src/w_lgammaf.c
new file mode 100644
index 0000000..74588f3
--- /dev/null
+++ b/lib/msun/src/w_lgammaf.c
@@ -0,0 +1,48 @@
+/* w_lgammaf.c -- float version of w_lgamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_lgammaf.c,v 1.1 1994/08/10 20:35:00 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ float lgammaf(float x)
+#else
+ float lgammaf(x)
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,&signgam);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,&signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finitef(y)&&finitef(x)) {
+ if(floorf(x)==x&&x<=(float)0.0)
+ /* lgamma pole */
+ return (float)__kernel_standard((double)x,(double)x,115);
+ else
+ /* lgamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,114);
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_lgammaf_r.c b/lib/msun/src/w_lgammaf_r.c
new file mode 100644
index 0000000..7e477e9
--- /dev/null
+++ b/lib/msun/src/w_lgammaf_r.c
@@ -0,0 +1,51 @@
+/* w_lgammaf_r.c -- float version of w_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_lgammaf_r.c,v 1.1 1994/08/10 20:35:05 jtc Exp $";
+#endif
+
+/*
+ * wrapper float lgammaf_r(float x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float lgammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */
+#else
+ float lgammaf_r(x,signgamp) /* wrapper lgammaf_r */
+ float x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,signgamp);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!finitef(y)&&finitef(x)) {
+ if(floorf(x)==x&&x<=(float)0.0)
+ /* lgamma pole */
+ return (float)__kernel_standard((double)x,(double)x,115);
+ else
+ /* lgamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,114);
+ } else
+ return y;
+#endif
+}
diff --git a/lib/msun/src/w_log.c b/lib/msun/src/w_log.c
new file mode 100644
index 0000000..26f0ae6
--- /dev/null
+++ b/lib/msun/src/w_log.c
@@ -0,0 +1,43 @@
+/* @(#)w_log.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_log.c,v 1.4 1994/08/10 20:35:09 jtc Exp $";
+#endif
+
+/*
+ * wrapper log(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double log(double x) /* wrapper log */
+#else
+ double log(x) /* wrapper log */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log(x);
+#else
+ double z;
+ z = __ieee754_log(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x) || x > 0.0) return z;
+ if(x==0.0)
+ return __kernel_standard(x,x,16); /* log(0) */
+ else
+ return __kernel_standard(x,x,17); /* log(x<0) */
+#endif
+}
diff --git a/lib/msun/src/w_log10.c b/lib/msun/src/w_log10.c
new file mode 100644
index 0000000..d3c1f5a
--- /dev/null
+++ b/lib/msun/src/w_log10.c
@@ -0,0 +1,46 @@
+/* @(#)w_log10.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_log10.c,v 1.4 1994/08/10 20:35:15 jtc Exp $";
+#endif
+
+/*
+ * wrapper log10(X)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double log10(double x) /* wrapper log10 */
+#else
+ double log10(x) /* wrapper log10 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log10(x);
+#else
+ double z;
+ z = __ieee754_log10(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(x<=0.0) {
+ if(x==0.0)
+ return __kernel_standard(x,x,18); /* log10(0) */
+ else
+ return __kernel_standard(x,x,19); /* log10(x<0) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_log10f.c b/lib/msun/src/w_log10f.c
new file mode 100644
index 0000000..1c73224
--- /dev/null
+++ b/lib/msun/src/w_log10f.c
@@ -0,0 +1,51 @@
+/* w_log10f.c -- float version of w_log10.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_log10f.c,v 1.1 1994/08/10 20:35:20 jtc Exp $";
+#endif
+
+/*
+ * wrapper log10f(X)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float log10f(float x) /* wrapper log10f */
+#else
+ float log10f(x) /* wrapper log10f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log10f(x);
+#else
+ float z;
+ z = __ieee754_log10f(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(x<=(float)0.0) {
+ if(x==(float)0.0)
+ /* log10(0) */
+ return (float)__kernel_standard((double)x,(double)x,118);
+ else
+ /* log10(x<0) */
+ return (float)__kernel_standard((double)x,(double)x,119);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_logf.c b/lib/msun/src/w_logf.c
new file mode 100644
index 0000000..77dcf1e
--- /dev/null
+++ b/lib/msun/src/w_logf.c
@@ -0,0 +1,48 @@
+/* w_logf.c -- float version of w_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_logf.c,v 1.1 1994/08/10 20:35:23 jtc Exp $";
+#endif
+
+/*
+ * wrapper logf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float logf(float x) /* wrapper logf */
+#else
+ float logf(x) /* wrapper logf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_logf(x);
+#else
+ float z;
+ z = __ieee754_logf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x) || x > (float)0.0) return z;
+ if(x==(float)0.0)
+ /* logf(0) */
+ return (float)__kernel_standard((double)x,(double)x,116);
+ else
+ /* logf(x<0) */
+ return (float)__kernel_standard((double)x,(double)x,117);
+#endif
+}
diff --git a/lib/msun/src/w_pow.c b/lib/msun/src/w_pow.c
new file mode 100644
index 0000000..6d87ee5
--- /dev/null
+++ b/lib/msun/src/w_pow.c
@@ -0,0 +1,61 @@
+
+
+/* @(#)w_pow.c 5.2 93/10/01 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper pow(x,y) return x**y
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double pow(double x, double y) /* wrapper pow */
+#else
+ double pow(x,y) /* wrapper pow */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_pow(x,y);
+#else
+ double z;
+ z=__ieee754_pow(x,y);
+ if(_LIB_VERSION == _IEEE_|| isnan(y)) return z;
+ if(isnan(x)) {
+ if(y==0.0)
+ return __kernel_standard(x,y,42); /* pow(NaN,0.0) */
+ else
+ return z;
+ }
+ if(x==0.0){
+ if(y==0.0)
+ return __kernel_standard(x,y,20); /* pow(0.0,0.0) */
+ if(finite(y)&&y<0.0)
+ return __kernel_standard(x,y,23); /* pow(0.0,negative) */
+ return z;
+ }
+ if(!finite(z)) {
+ if(finite(x)&&finite(y)) {
+ if(isnan(z))
+ return __kernel_standard(x,y,24); /* pow neg**non-int */
+ else
+ return __kernel_standard(x,y,21); /* pow overflow */
+ }
+ }
+ if(z==0.0&&finite(x)&&finite(y))
+ return __kernel_standard(x,y,22); /* pow underflow */
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_powf.c b/lib/msun/src/w_powf.c
new file mode 100644
index 0000000..c8ab5eb
--- /dev/null
+++ b/lib/msun/src/w_powf.c
@@ -0,0 +1,72 @@
+/* w_powf.c -- float version of w_pow.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_powf.c,v 1.1 1994/08/10 20:35:29 jtc Exp $";
+#endif
+
+/*
+ * wrapper powf(x,y) return x**y
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float powf(float x, float y) /* wrapper powf */
+#else
+ float powf(x,y) /* wrapper powf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_powf(x,y);
+#else
+ float z;
+ z=__ieee754_powf(x,y);
+ if(_LIB_VERSION == _IEEE_|| isnanf(y)) return z;
+ if(isnanf(x)) {
+ if(y==(float)0.0)
+ /* powf(NaN,0.0) */
+ return (float)__kernel_standard((double)x,(double)y,142);
+ else
+ return z;
+ }
+ if(x==(float)0.0){
+ if(y==(float)0.0)
+ /* powf(0.0,0.0) */
+ return (float)__kernel_standard((double)x,(double)y,120);
+ if(finitef(y)&&y<(float)0.0)
+ /* powf(0.0,negative) */
+ return (float)__kernel_standard((double)x,(double)y,123);
+ return z;
+ }
+ if(!finitef(z)) {
+ if(finitef(x)&&finitef(y)) {
+ if(isnanf(z))
+ /* powf neg**non-int */
+ return (float)__kernel_standard((double)x,(double)y,124);
+ else
+ /* powf overflow */
+ return (float)__kernel_standard((double)x,(double)y,121);
+ }
+ }
+ if(z==(float)0.0&&finitef(x)&&finitef(y))
+ /* powf underflow */
+ return (float)__kernel_standard((double)x,(double)y,122);
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_remainder.c b/lib/msun/src/w_remainder.c
new file mode 100644
index 0000000..98e4df2
--- /dev/null
+++ b/lib/msun/src/w_remainder.c
@@ -0,0 +1,42 @@
+/* @(#)w_remainder.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_remainder.c,v 1.4 1994/08/10 20:35:32 jtc Exp $";
+#endif
+
+/*
+ * wrapper remainder(x,p)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double remainder(double x, double y) /* wrapper remainder */
+#else
+ double remainder(x,y) /* wrapper remainder */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_remainder(x,y);
+#else
+ double z;
+ z = __ieee754_remainder(x,y);
+ if(_LIB_VERSION == _IEEE_ || isnan(y)) return z;
+ if(y==0.0)
+ return __kernel_standard(x,y,28); /* remainder(x,0) */
+ else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_remainderf.c b/lib/msun/src/w_remainderf.c
new file mode 100644
index 0000000..ddc0818
--- /dev/null
+++ b/lib/msun/src/w_remainderf.c
@@ -0,0 +1,46 @@
+/* w_remainderf.c -- float version of w_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_remainderf.c,v 1.1 1994/08/10 20:35:35 jtc Exp $";
+#endif
+
+/*
+ * wrapper remainderf(x,p)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float remainderf(float x, float y) /* wrapper remainder */
+#else
+ float remainderf(x,y) /* wrapper remainder */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_remainderf(x,y);
+#else
+ float z;
+ z = __ieee754_remainderf(x,y);
+ if(_LIB_VERSION == _IEEE_ || isnanf(y)) return z;
+ if(y==(float)0.0)
+ /* remainder(x,0) */
+ return (float)__kernel_standard((double)x,(double)y,128);
+ else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_scalb.c b/lib/msun/src/w_scalb.c
new file mode 100644
index 0000000..b7a7ec6
--- /dev/null
+++ b/lib/msun/src/w_scalb.c
@@ -0,0 +1,60 @@
+/* @(#)w_scalb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_scalb.c,v 1.4 1994/08/10 20:35:37 jtc Exp $";
+#endif
+
+/*
+ * wrapper scalb(double x, double fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#include <errno.h>
+
+#ifdef __STDC__
+#ifdef _SCALB_INT
+ double scalb(double x, int fn) /* wrapper scalb */
+#else
+ double scalb(double x, double fn) /* wrapper scalb */
+#endif
+#else
+ double scalb(x,fn) /* wrapper scalb */
+#ifdef _SCALB_INT
+ double x; int fn;
+#else
+ double x,fn;
+#endif
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_scalb(x,fn);
+#else
+ double z;
+ z = __ieee754_scalb(x,fn);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!(finite(z)||isnan(z))&&finite(x)) {
+ return __kernel_standard(x,(double)fn,32); /* scalb overflow */
+ }
+ if(z==0.0&&z!=x) {
+ return __kernel_standard(x,(double)fn,33); /* scalb underflow */
+ }
+#ifndef _SCALB_INT
+ if(!finite(fn)) errno = ERANGE;
+#endif
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_scalbf.c b/lib/msun/src/w_scalbf.c
new file mode 100644
index 0000000..9e47c70
--- /dev/null
+++ b/lib/msun/src/w_scalbf.c
@@ -0,0 +1,65 @@
+/* w_scalbf.c -- float version of w_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_scalbf.c,v 1.1 1994/08/10 20:35:40 jtc Exp $";
+#endif
+
+/*
+ * wrapper scalbf(float x, float fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#include <errno.h>
+
+#ifdef __STDC__
+#ifdef _SCALB_INT
+ float scalbf(float x, int fn) /* wrapper scalbf */
+#else
+ float scalbf(float x, float fn) /* wrapper scalbf */
+#endif
+#else
+ float scalbf(x,fn) /* wrapper scalbf */
+#ifdef _SCALB_INT
+ float x; int fn;
+#else
+ float x,fn;
+#endif
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_scalbf(x,fn);
+#else
+ float z;
+ z = __ieee754_scalbf(x,fn);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!(finitef(z)||isnanf(z))&&finitef(x)) {
+ /* scalbf overflow */
+ return (float)__kernel_standard((double)x,(double)fn,132);
+ }
+ if(z==(float)0.0&&z!=x) {
+ /* scalbf underflow */
+ return (float)__kernel_standard((double)x,(double)fn,133);
+ }
+#ifndef _SCALB_INT
+ if(!finitef(fn)) errno = ERANGE;
+#endif
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_sinh.c b/lib/msun/src/w_sinh.c
new file mode 100644
index 0000000..241e335
--- /dev/null
+++ b/lib/msun/src/w_sinh.c
@@ -0,0 +1,42 @@
+/* @(#)w_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_sinh.c,v 1.4 1994/08/10 20:35:42 jtc Exp $";
+#endif
+
+/*
+ * wrapper sinh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double sinh(double x) /* wrapper sinh */
+#else
+ double sinh(x) /* wrapper sinh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sinh(x);
+#else
+ double z;
+ z = __ieee754_sinh(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!finite(z)&&finite(x)) {
+ return __kernel_standard(x,x,25); /* sinh overflow */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_sinhf.c b/lib/msun/src/w_sinhf.c
new file mode 100644
index 0000000..dca5bfa
--- /dev/null
+++ b/lib/msun/src/w_sinhf.c
@@ -0,0 +1,46 @@
+/* w_sinhf.c -- float version of w_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_sinhf.c,v 1.1 1994/08/10 20:35:45 jtc Exp $";
+#endif
+
+/*
+ * wrapper sinhf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float sinhf(float x) /* wrapper sinhf */
+#else
+ float sinhf(x) /* wrapper sinhf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sinhf(x);
+#else
+ float z;
+ z = __ieee754_sinhf(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!finitef(z)&&finitef(x)) {
+ /* sinhf overflow */
+ return (float)__kernel_standard((double)x,(double)x,125);
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_sqrt.c b/lib/msun/src/w_sqrt.c
new file mode 100644
index 0000000..696f45a
--- /dev/null
+++ b/lib/msun/src/w_sqrt.c
@@ -0,0 +1,42 @@
+/* @(#)w_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_sqrt.c,v 1.4 1994/08/10 20:35:48 jtc Exp $";
+#endif
+
+/*
+ * wrapper sqrt(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double sqrt(double x) /* wrapper sqrt */
+#else
+ double sqrt(x) /* wrapper sqrt */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sqrt(x);
+#else
+ double z;
+ z = __ieee754_sqrt(x);
+ if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
+ if(x<0.0) {
+ return __kernel_standard(x,x,26); /* sqrt(negative) */
+ } else
+ return z;
+#endif
+}
diff --git a/lib/msun/src/w_sqrtf.c b/lib/msun/src/w_sqrtf.c
new file mode 100644
index 0000000..c248f0c9
--- /dev/null
+++ b/lib/msun/src/w_sqrtf.c
@@ -0,0 +1,46 @@
+/* w_sqrtf.c -- float version of w_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$Id: w_sqrtf.c,v 1.1 1994/08/10 20:35:53 jtc Exp $";
+#endif
+
+/*
+ * wrapper sqrtf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float sqrtf(float x) /* wrapper sqrtf */
+#else
+ float sqrt(x) /* wrapper sqrtf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sqrtf(x);
+#else
+ float z;
+ z = __ieee754_sqrtf(x);
+ if(_LIB_VERSION == _IEEE_ || isnanf(x)) return z;
+ if(x<(float)0.0) {
+ /* sqrtf(negative) */
+ return (float)__kernel_standard((double)x,(double)x,126);
+ } else
+ return z;
+#endif
+}
OpenPOWER on IntegriCloud