math: initial checkin of math functions for external apps

Bug: 29003259
Change-Id: Ie8405bce04df2493ae740b6efa3745eb02bebfcb

12 files changed, 1485 insertions, 0 deletions

diff --git a/lib/libm/ef_atan2.c b/lib/libm/ef_atan2.c
new file mode 100644
index 00000000..d57480b0
--- /dev/null
+++ b/lib/libm/ef_atan2.c
@@ -0,0 +1,101 @@
+/* ef_atan2.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.
+ * ====================================================
+ *
+ */
+
+#include "fdlibm.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      = 3.1415927410e+00,  /* 0x40490fdb */
+pi_lo   = -8.7422776573e-08; /* 0xb3bbbd2e */
+
+#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(FLT_UWORD_IS_NAN(ix)||
+	   FLT_UWORD_IS_NAN(iy))	/* 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(FLT_UWORD_IS_ZERO(iy)) {
+	    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(FLT_UWORD_IS_ZERO(ix)) return (hy<0)?  -pi_o_2-tiny: pi_o_2+tiny;
+	    
+    /* when x is INF */
+	if(FLT_UWORD_IS_INFINITE(ix)) {
+	    if(FLT_UWORD_IS_INFINITE(iy)) {
+		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(FLT_UWORD_IS_INFINITE(iy)) 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: {
+	    	      __uint32_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/libm/ef_rem_pio2.c b/lib/libm/ef_rem_pio2.c
new file mode 100644
index 00000000..f1191d09
--- /dev/null
+++ b/lib/libm/ef_rem_pio2.c
@@ -0,0 +1,193 @@
+/* ef_rem_pio2.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.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_rem_pio2f(x,y)
+ * 
+ * return the remainder of x rem pi/2 in y[0]+y[1] 
+ * use __kernel_rem_pio2f()
+ */
+
+#include "fdlibm.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 i,j,n,ix,hx;
+	int e0,nx;
+
+	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<0x4016cbe4) {  /* |x| < 3pi/4, special case with n=+-1 */
+	    if(hx>0) { 
+		z = x - pio2_1;
+		if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+		    y[0] = z - pio2_1t;
+		    y[1] = (z-y[0])-pio2_1t;
+		} else {		/* near pi/2, use 24+24+24 bit pi */
+		    z -= pio2_2;
+		    y[0] = z - pio2_2t;
+		    y[1] = (z-y[0])-pio2_2t;
+		}
+		return 1;
+	    } else {	/* negative x */
+		z = x + pio2_1;
+		if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+		    y[0] = z + pio2_1t;
+		    y[1] = (z-y[0])+pio2_1t;
+		} else {		/* near pi/2, use 24+24+24 bit pi */
+		    z += pio2_2;
+		    y[0] = z + pio2_2t;
+		    y[1] = (z-y[0])+pio2_2t;
+		}
+		return -1;
+	    }
+	}
+	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 {
+	        __uint32_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(!FLT_UWORD_IS_FINITE(ix)) {
+	    y[0]=y[1]=x-x; return 0;
+	}
+    /* set z = scalbn(|x|,ilogb(x)-7) */
+	e0 	= (int)((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/libm/fdlibm.h b/lib/libm/fdlibm.h
new file mode 100644
index 00000000..a4b7fffe
--- /dev/null
+++ b/lib/libm/fdlibm.h
@@ -0,0 +1,404 @@
+
+/* @(#)fdlibm.h 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.
+ * ====================================================
+ */
+
+/* REDHAT LOCAL: Include files.  */
+#include <math.h>
+#include <sys/types.h>
+#include <machine/ieeefp.h>
+
+/* REDHAT LOCAL: Default to XOPEN_MODE.  */
+#define _XOPEN_MODE
+
+/* Most routines need to check whether a float is finite, infinite, or not a
+   number, and many need to know whether the result of an operation will
+   overflow.  These conditions depend on whether the largest exponent is
+   used for NaNs & infinities, or whether it's used for finite numbers.  The
+   macros below wrap up that kind of information:
+
+   FLT_UWORD_IS_FINITE(X)
+	True if a positive float with bitmask X is finite.
+
+   FLT_UWORD_IS_NAN(X)
+	True if a positive float with bitmask X is not a number.
+
+   FLT_UWORD_IS_INFINITE(X)
+	True if a positive float with bitmask X is +infinity.
+
+   FLT_UWORD_MAX
+	The bitmask of FLT_MAX.
+
+   FLT_UWORD_HALF_MAX
+	The bitmask of FLT_MAX/2.
+
+   FLT_UWORD_EXP_MAX
+	The bitmask of the largest finite exponent (129 if the largest
+	exponent is used for finite numbers, 128 otherwise).
+
+   FLT_UWORD_LOG_MAX
+	The bitmask of log(FLT_MAX), rounded down.  This value is the largest
+	input that can be passed to exp() without producing overflow.
+
+   FLT_UWORD_LOG_2MAX
+	The bitmask of log(2*FLT_MAX), rounded down.  This value is the
+	largest input than can be passed to cosh() without producing
+	overflow.
+
+   FLT_LARGEST_EXP
+	The largest biased exponent that can be used for finite numbers
+	(255 if the largest exponent is used for finite numbers, 254
+	otherwise) */
+
+#ifdef _FLT_LARGEST_EXPONENT_IS_NORMAL
+#define FLT_UWORD_IS_FINITE(x) 1
+#define FLT_UWORD_IS_NAN(x) 0
+#define FLT_UWORD_IS_INFINITE(x) 0
+#define FLT_UWORD_MAX 0x7fffffff
+#define FLT_UWORD_EXP_MAX 0x43010000
+#define FLT_UWORD_LOG_MAX 0x42b2d4fc
+#define FLT_UWORD_LOG_2MAX 0x42b437e0
+#define HUGE ((float)0X1.FFFFFEP128)
+#else
+#define FLT_UWORD_IS_FINITE(x) ((x)<0x7f800000L)
+#define FLT_UWORD_IS_NAN(x) ((x)>0x7f800000L)
+#define FLT_UWORD_IS_INFINITE(x) ((x)==0x7f800000L)
+#define FLT_UWORD_MAX 0x7f7fffffL
+#define FLT_UWORD_EXP_MAX 0x43000000
+#define FLT_UWORD_LOG_MAX 0x42b17217
+#define FLT_UWORD_LOG_2MAX 0x42b2d4fc
+#define HUGE ((float)3.40282346638528860e+38)
+#endif
+#define FLT_UWORD_HALF_MAX (FLT_UWORD_MAX-(1L<<23))
+#define FLT_LARGEST_EXP (FLT_UWORD_MAX>>23)
+
+/* Many routines check for zero and subnormal numbers.  Such things depend
+   on whether the target supports denormals or not:
+
+   FLT_UWORD_IS_ZERO(X)
+	True if a positive float with bitmask X is +0.	Without denormals,
+	any float with a zero exponent is a +0 representation.	With
+	denormals, the only +0 representation is a 0 bitmask.
+
+   FLT_UWORD_IS_SUBNORMAL(X)
+	True if a non-zero positive float with bitmask X is subnormal.
+	(Routines should check for zeros first.)
+
+   FLT_UWORD_MIN
+	The bitmask of the smallest float above +0.  Call this number
+	REAL_FLT_MIN...
+
+   FLT_UWORD_EXP_MIN
+	The bitmask of the float representation of REAL_FLT_MIN's exponent.
+
+   FLT_UWORD_LOG_MIN
+	The bitmask of |log(REAL_FLT_MIN)|, rounding down.
+
+   FLT_SMALLEST_EXP
+	REAL_FLT_MIN's exponent - EXP_BIAS (1 if denormals are not supported,
+	-22 if they are).
+*/
+
+#ifdef _FLT_NO_DENORMALS
+#define FLT_UWORD_IS_ZERO(x) ((x)<0x00800000L)
+#define FLT_UWORD_IS_SUBNORMAL(x) 0
+#define FLT_UWORD_MIN 0x00800000
+#define FLT_UWORD_EXP_MIN 0x42fc0000
+#define FLT_UWORD_LOG_MIN 0x42aeac50
+#define FLT_SMALLEST_EXP 1
+#else
+#define FLT_UWORD_IS_ZERO(x) ((x)==0)
+#define FLT_UWORD_IS_SUBNORMAL(x) ((x)<0x00800000L)
+#define FLT_UWORD_MIN 0x00000001
+#define FLT_UWORD_EXP_MIN 0x43160000
+#define FLT_UWORD_LOG_MIN 0x42cff1b5
+#define FLT_SMALLEST_EXP -22
+#endif
+
+#ifdef __STDC__
+#undef __P
+#define	__P(p)	p
+#else
+#define	__P(p)	()
+#endif
+
+/* 
+ * 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 
+
+/* Functions that are not documented, and are not in <math.h>.  */
+
+#ifdef _SCALB_INT
+extern double scalb __P((double, int));
+#else
+extern double scalb __P((double, double));
+#endif
+extern double significand __P((double));
+
+/* 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_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 __int32_t __ieee754_rem_pio2 __P((double,double*));
+#ifdef _SCALB_INT
+extern double __ieee754_scalb __P((double,int));
+#else
+extern double __ieee754_scalb __P((double,double));
+#endif
+
+/* 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 __int32_t*));
+
+/* Undocumented float functions.  */
+#ifdef _SCALB_INT
+extern float scalbf __P((float, int));
+#else
+extern float scalbf __P((float, float));
+#endif
+extern float significandf __P((float));
+
+/* 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_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 __int32_t __ieee754_rem_pio2f __P((float,float*));
+#ifdef _SCALB_INT
+extern float __ieee754_scalbf __P((float,int));
+#else
+extern float __ieee754_scalbf __P((float,float));
+#endif
+
+/* 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 __int32_t*));
+
+/* The original 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.  */
+
+#ifndef __IEEE_BIG_ENDIAN
+#ifndef __IEEE_LITTLE_ENDIAN
+ #error Must define endianness
+#endif
+#endif
+
+/* A union which permits us to convert between a double and two 32 bit
+   ints.  */
+
+#ifdef __IEEE_BIG_ENDIAN
+
+typedef union 
+{
+  double value;
+  struct 
+  {
+    __uint32_t msw;
+    __uint32_t lsw;
+  } parts;
+} ieee_double_shape_type;
+
+#endif
+
+#ifdef __IEEE_LITTLE_ENDIAN
+
+typedef union 
+{
+  double value;
+  struct 
+  {
+    __uint32_t lsw;
+    __uint32_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;
+  __uint32_t 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)
+
+/* Macros to avoid undefined behaviour that can arise if the amount
+   of a shift is exactly equal to the size of the shifted operand.  */
+
+#define SAFE_LEFT_SHIFT(op,amt)					\
+  (((amt) < 8 * sizeof(op)) ? ((op) << (amt)) : 0)
+
+#define SAFE_RIGHT_SHIFT(op,amt)				\
+  (((amt) < 8 * sizeof(op)) ? ((op) >> (amt)) : 0)
+
+#ifdef  _COMPLEX_H
+
+/*
+ * Quoting from ISO/IEC 9899:TC2:
+ *
+ * 6.2.5.13 Types
+ * Each complex type has the same representation and alignment requirements as
+ * an array type containing exactly two elements of the corresponding real type;
+ * the first element is equal to the real part, and the second element to the
+ * imaginary part, of the complex number.
+ */
+typedef union {
+        float complex z;
+        float parts[2];
+} float_complex;
+
+typedef union {
+        double complex z;
+        double parts[2];
+} double_complex;
+
+typedef union {
+        long double complex z;
+        long double parts[2];
+} long_double_complex;
+
+#define REAL_PART(z)    ((z).parts[0])
+#define IMAG_PART(z)    ((z).parts[1])
+
+#endif  /* _COMPLEX_H */
+
diff --git a/lib/libm/kf_cos.c b/lib/libm/kf_cos.c
new file mode 100644
index 00000000..4f71af23
--- /dev/null
+++ b/lib/libm/kf_cos.c
@@ -0,0 +1,59 @@
+/* kf_cos.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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/libm/kf_rem_pio2.c b/lib/libm/kf_rem_pio2.c
new file mode 100644
index 00000000..261c4812
--- /dev/null
+++ b/lib/libm/kf_rem_pio2.c
@@ -0,0 +1,208 @@
+/* kf_rem_pio2.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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,(int)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,(int)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,-(int)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,(int)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/libm/kf_sin.c b/lib/libm/kf_sin.c
new file mode 100644
index 00000000..e81fa0bd
--- /dev/null
+++ b/lib/libm/kf_sin.c
@@ -0,0 +1,49 @@
+/* kf_sin.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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/libm/sf_atan.c b/lib/libm/sf_atan.c
new file mode 100644
index 00000000..6edf05fe
--- /dev/null
+++ b/lib/libm/sf_atan.c
@@ -0,0 +1,129 @@
+/* sf_atan.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.
+ * ====================================================
+ *
+ */
+
+#include "fdlibm.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(FLT_UWORD_IS_NAN(ix))
+		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;
+	}
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double atan(double x)
+#else
+	double atan(x)
+	double x;
+#endif
+{
+	return (double) atanf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/lib/libm/sf_cos.c b/lib/libm/sf_cos.c
new file mode 100644
index 00000000..4c0a9a53
--- /dev/null
+++ b/lib/libm/sf_cos.c
@@ -0,0 +1,68 @@
+/* sf_cos.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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 (!FLT_UWORD_IS_FINITE(ix)) 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);
+	    }
+	}
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double cos(double x)
+#else
+	double cos(x)
+	double x;
+#endif
+{
+	return (double) cosf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/lib/libm/sf_floor.c b/lib/libm/sf_floor.c
new file mode 100644
index 00000000..9264d81e
--- /dev/null
+++ b/lib/libm/sf_floor.c
@@ -0,0 +1,80 @@
+/* sf_floor.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.
+ * ====================================================
+ */
+
+/*
+ * 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 "fdlibm.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;
+	__uint32_t i,ix;
+	GET_FLOAT_WORD(i0,x);
+	ix = (i0&0x7fffffff);
+	j0 = (ix>>23)-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(!FLT_UWORD_IS_ZERO(ix))
+			{ 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(!FLT_UWORD_IS_FINITE(ix)) return x+x;	/* inf or NaN */
+	    else return x;		/* x is integral */
+	}
+	SET_FLOAT_WORD(x,i0);
+	return x;
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double floor(double x)
+#else
+	double floor(x)
+	double x;
+#endif
+{
+	return (double) floorf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/lib/libm/sf_scalbn.c b/lib/libm/sf_scalbn.c
new file mode 100644
index 00000000..70006001
--- /dev/null
+++ b/lib/libm/sf_scalbn.c
@@ -0,0 +1,86 @@
+/* sf_scalbn.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.
+ * ====================================================
+ */
+
+#include "fdlibm.h"
+#include <limits.h>
+#include <float.h>
+
+#if INT_MAX > 50000
+#define OVERFLOW_INT 50000
+#else
+#define OVERFLOW_INT 30000
+#endif
+
+#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 scalbnf (x,n)
+	float x; int n;
+#endif
+{
+	__int32_t  k,ix;
+	__uint32_t hx;
+
+	GET_FLOAT_WORD(ix,x);
+	hx = ix&0x7fffffff;
+        k = hx>>23;		/* extract exponent */
+	if (FLT_UWORD_IS_ZERO(hx))
+	    return x;
+        if (!FLT_UWORD_IS_FINITE(hx))
+	    return x+x;		/* NaN or Inf */
+        if (FLT_UWORD_IS_SUBNORMAL(hx)) {
+	    x *= two25;
+	    GET_FLOAT_WORD(ix,x);
+	    k = ((ix&0x7f800000)>>23) - 25; 
+            if (n< -50000) return tiny*x; 	/*underflow*/
+        }
+        k = k+n; 
+        if (k > FLT_LARGEST_EXP) return huge*copysignf(huge,x); /* overflow  */
+        if (k > 0) 				/* normal result */
+	    {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+        if (k < FLT_SMALLEST_EXP) {
+            if (n > OVERFLOW_INT) 	/* 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;
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double scalbn(double x, int n)
+#else
+	double scalbn(x,n)
+	double x;
+	int n;
+#endif
+{
+	return (double) scalbnf((float) x, n);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/lib/libm/sf_sin.c b/lib/libm/sf_sin.c
new file mode 100644
index 00000000..da81845d
--- /dev/null
+++ b/lib/libm/sf_sin.c
@@ -0,0 +1,62 @@
+/* sf_sin.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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 (!FLT_UWORD_IS_FINITE(ix)) 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]);
+	    }
+	}
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double sin(double x)
+#else
+	double sin(x)
+	double x;
+#endif
+{
+	return (double) sinf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/lib/libm/wf_atan2.c b/lib/libm/wf_atan2.c
new file mode 100644
index 00000000..eb2a76b1
--- /dev/null
+++ b/lib/libm/wf_atan2.c
@@ -0,0 +1,46 @@
+/* wf_atan2.c -- float version of w_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice 
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* 
+ * wrapper atan2f(y,x)
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifdef __STDC__
+	float atan2f(float y, float x)		/* wrapper atan2f */
+#else
+	float atan2f(y,x)			/* wrapper atan2 */
+	float y,x;
+#endif
+{
+	return __ieee754_atan2f(y,x);
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double atan2(double y, double x)
+#else
+	double atan2(y,x)
+	double y,x;
+#endif
+{
+	return (double) atan2f((float) y, (float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */