diff --git a/lib/libm/acoshf.c b/lib/libm/acoshf.c
new file mode 100644
index 000000000..8a8409f58
--- /dev/null
+++ b/lib/libm/acoshf.c
@@ -0,0 +1,32 @@
+/*****************************************************************************/
+/*****************************************************************************/
+// acoshf from musl-0.9.15
+/*****************************************************************************/
+/*****************************************************************************/
+
+#include "libm.h"
+
+#if FLT_EVAL_METHOD==2
+#undef sqrtf
+#define sqrtf sqrtl
+#elif FLT_EVAL_METHOD==1
+#undef sqrtf
+#define sqrtf sqrt
+#endif
+
+/* acosh(x) = log(x + sqrt(x*x-1)) */
+float acoshf(float x)
+{
+	union {float f; uint32_t i;} u = {x};
+	uint32_t a = u.i & 0x7fffffff;
+
+	if (a < 0x3f800000+(1<<23))
+		/* |x| < 2, invalid if x < 1 or nan */
+		/* up to 2ulp error in [1,1.125] */
+		return log1pf(x-1 + sqrtf((x-1)*(x-1)+2*(x-1)));
+	if (a < 0x3f800000+(12<<23))
+		/* |x| < 0x1p12 */
+		return logf(2*x - 1/(x+sqrtf(x*x-1)));
+	/* x >= 0x1p12 */
+	return logf(x) + 0.693147180559945309417232121458176568f;
+}
diff --git a/lib/libm/asinhf.c b/lib/libm/asinhf.c
new file mode 100644
index 000000000..4bcb3f9a3
--- /dev/null
+++ b/lib/libm/asinhf.c
@@ -0,0 +1,34 @@
+/*****************************************************************************/
+/*****************************************************************************/
+// asinhf from musl-0.9.15
+/*****************************************************************************/
+/*****************************************************************************/
+
+#include "libm.h"
+
+/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
+float asinhf(float x)
+{
+	union {float f; uint32_t i;} u = {.f = x};
+	uint32_t i = u.i & 0x7fffffff;
+	unsigned s = u.i >> 31;
+
+	/* |x| */
+	u.i = i;
+	x = u.f;
+
+	if (i >= 0x3f800000 + (12<<23)) {
+		/* |x| >= 0x1p12 or inf or nan */
+		x = logf(x) + 0.693147180559945309417232121458176568f;
+	} else if (i >= 0x3f800000 + (1<<23)) {
+		/* |x| >= 2 */
+		x = logf(2*x + 1/(sqrtf(x*x+1)+x));
+	} else if (i >= 0x3f800000 - (12<<23)) {
+		/* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */
+		x = log1pf(x + x*x/(sqrtf(x*x+1)+1));
+	} else {
+		/* |x| < 0x1p-12, raise inexact if x!=0 */
+		FORCE_EVAL(x + 0x1p120f);
+	}
+	return s ? -x : x;
+}
diff --git a/lib/libm/atanhf.c b/lib/libm/atanhf.c
new file mode 100644
index 000000000..6f95f4971
--- /dev/null
+++ b/lib/libm/atanhf.c
@@ -0,0 +1,34 @@
+/*****************************************************************************/
+/*****************************************************************************/
+// atanhf from musl-0.9.15
+/*****************************************************************************/
+/*****************************************************************************/
+
+#include "libm.h"
+
+/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
+float atanhf(float x)
+{
+	union {float f; uint32_t i;} u = {.f = x};
+	unsigned s = u.i >> 31;
+	float_t y;
+
+	/* |x| */
+	u.i &= 0x7fffffff;
+	y = u.f;
+
+	if (u.i < 0x3f800000 - (1<<23)) {
+		if (u.i < 0x3f800000 - (32<<23)) {
+			/* handle underflow */
+			if (u.i < (1<<23))
+				FORCE_EVAL((float)(y*y));
+		} else {
+			/* |x| < 0.5, up to 1.7ulp error */
+			y = 0.5f*log1pf(2*y + 2*y*y/(1-y));
+		}
+	} else {
+		/* avoid overflow */
+		y = 0.5f*log1pf(2*(y/(1-y)));
+	}
+	return s ? -y : y;
+}
diff --git a/lib/libm/ef_rem_pio2.c b/lib/libm/ef_rem_pio2.c
new file mode 100644
index 000000000..f7a695e17
--- /dev/null
+++ b/lib/libm/ef_rem_pio2.c
@@ -0,0 +1,202 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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 000000000..529a3975a
--- /dev/null
+++ b/lib/libm/fdlibm.h
@@ -0,0 +1,227 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * This file is adapted from from newlib-nano-2, the newlib/libm/common/fdlib.h,
+ * available from https://github.com/32bitmicro/newlib-nano-2.  The main change
+ * is removal of anything to do with double precision.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* @(#)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.
+ * ====================================================
+ */
+
+#include <math.h>
+
+/* 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>.  */
+
+/* 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*));
+
+/* 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)
diff --git a/lib/libm/kf_cos.c b/lib/libm/kf_cos.c
new file mode 100644
index 000000000..f1f883ced
--- /dev/null
+++ b/lib/libm/kf_cos.c
@@ -0,0 +1,68 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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 000000000..48b154720
--- /dev/null
+++ b/lib/libm/kf_rem_pio2.c
@@ -0,0 +1,217 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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 000000000..81390b4eb
--- /dev/null
+++ b/lib/libm/kf_sin.c
@@ -0,0 +1,58 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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/kf_tan.c b/lib/libm/kf_tan.c
new file mode 100644
index 000000000..68254c682
--- /dev/null
+++ b/lib/libm/kf_tan.c
@@ -0,0 +1,105 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* kf_tan.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.
+ * ====================================================
+ */
+
+#include "libm.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/libm/libm.h b/lib/libm/libm.h
index c87c55821..f782249e5 100644
--- a/lib/libm/libm.h
+++ b/lib/libm/libm.h
@@ -19,6 +19,8 @@
 #include <stdint.h>
 #include <math.h>
 
+#define FLT_EVAL_METHOD 0
+
 #define FORCE_EVAL(x) do {                        \
 	if (sizeof(x) == sizeof(float)) {         \
 		volatile float __x;               \
diff --git a/lib/libm/log1pf.c b/lib/libm/log1pf.c
new file mode 100644
index 000000000..0d32b0a2f
--- /dev/null
+++ b/lib/libm/log1pf.c
@@ -0,0 +1,83 @@
+/*****************************************************************************/
+/*****************************************************************************/
+// log1pf from musl-0.9.15
+/*****************************************************************************/
+/*****************************************************************************/
+
+/* origin: FreeBSD /usr/src/lib/msun/src/s_log1pf.c */
+/*
+ * ====================================================
+ * 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 "libm.h"
+
+static const float
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
+Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
+Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
+Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
+
+float log1pf(float x)
+{
+	union {float f; uint32_t i;} u = {x};
+	float_t hfsq,f,c,s,z,R,w,t1,t2,dk;
+	uint32_t ix,iu;
+	int k;
+
+	ix = u.i;
+	k = 1;
+	if (ix < 0x3ed413d0 || ix>>31) {  /* 1+x < sqrt(2)+  */
+		if (ix >= 0xbf800000) {  /* x <= -1.0 */
+			if (x == -1)
+				return x/0.0f; /* log1p(-1)=+inf */
+			return (x-x)/0.0f;     /* log1p(x<-1)=NaN */
+		}
+		if (ix<<1 < 0x33800000<<1) {   /* |x| < 2**-24 */
+			/* underflow if subnormal */
+			if ((ix&0x7f800000) == 0)
+				FORCE_EVAL(x*x);
+			return x;
+		}
+		if (ix <= 0xbe95f619) { /* sqrt(2)/2- <= 1+x < sqrt(2)+ */
+			k = 0;
+			c = 0;
+			f = x;
+		}
+	} else if (ix >= 0x7f800000)
+		return x;
+	if (k) {
+		u.f = 1 + x;
+		iu = u.i;
+		iu += 0x3f800000 - 0x3f3504f3;
+		k = (int)(iu>>23) - 0x7f;
+		/* correction term ~ log(1+x)-log(u), avoid underflow in c/u */
+		if (k < 25) {
+			c = k >= 2 ? 1-(u.f-x) : x-(u.f-1);
+			c /= u.f;
+		} else
+			c = 0;
+		/* reduce u into [sqrt(2)/2, sqrt(2)] */
+		iu = (iu&0x007fffff) + 0x3f3504f3;
+		u.i = iu;
+		f = u.f - 1;
+	}
+	s = f/(2.0f + f);
+	z = s*s;
+	w = z*z;
+	t1= w*(Lg2+w*Lg4);
+	t2= z*(Lg1+w*Lg3);
+	R = t2 + t1;
+	hfsq = 0.5f*f*f;
+	dk = k;
+	return s*(hfsq+R) + (dk*ln2_lo+c) - hfsq + f + dk*ln2_hi;
+}
diff --git a/lib/libm/math.c b/lib/libm/math.c
index 623bedb3d..ed3635e53 100644
--- a/lib/libm/math.c
+++ b/lib/libm/math.c
@@ -113,10 +113,6 @@ float log10f(float x) { return logf(x) / (float)_M_LN10; }
 float tanhf(float x) { return sinhf(x) / coshf(x); }
 
 // TODO we need import these functions from some library (eg musl or newlib)
-float acoshf(float x) { return 0.0; }
-float asinhf(float x) { return 0.0; }
-float atanhf(float x) { return 0.0; }
-float tanf(float x) { return 0.0; }
 float tgammaf(float x) { return 0.0; }
 float lgammaf(float x) { return 0.0; }
 float erff(float x) { return 0.0; }
diff --git a/lib/libm/mathsincos.c b/lib/libm/mathsincos.c
deleted file mode 100644
index 9ea08e6c8..000000000
--- a/lib/libm/mathsincos.c
+++ /dev/null
@@ -1,627 +0,0 @@
-/*
- * This file is part of the Micro Python project, http://micropython.org/
- *
- * These math functions are taken from newlib 2.1.0, the newlib/libm directory.
- * Appropriate copyright headers are reproduced below.
- *
- * The MIT License (MIT)
- *
- * Copyright (c) 2013, 2014 Damien P. George
- *
- * Permission is hereby granted, free of charge, to any person obtaining a copy
- * of this software and associated documentation files (the "Software"), to deal
- * in the Software without restriction, including without limitation the rights
- * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
- * copies of the Software, and to permit persons to whom the Software is
- * furnished to do so, subject to the following conditions:
- *
- * The above copyright notice and this permission notice shall be included in
- * all copies or substantial portions of the Software.
- *
- * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
- * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
- * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
- * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
- * THE SOFTWARE.
- */
-
-#include <stdint.h>
-#include <math.h>
-
-/* @(#)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.
- * ====================================================
- */
-
-#define FLT_UWORD_IS_FINITE(x) ((x)<0x7f800000L)
-
-/* 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)
-
-
-
-/* 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.
- * ====================================================
- */
-
-/* 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 */
-};
-
-static const float			
-zero =  0.0000000000e+00, /* 0x00000000 */
-one  =  1.0000000000e+00, /* 0x3f800000 */
-two8  =  2.5600000000e+02, /* 0x43800000 */
-twon8 =  3.9062500000e-03; /* 0x3b800000 */
-
-int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const __int32_t *ipio2) 
-{
-	__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;
-}
-
-
-/* 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()
- */
-
-
-/*
- * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi 
- */
-static const __int32_t two_over_pi[] = {
-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.  */
-static const __int32_t npio2_hw[] = {
-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)
- */
-
-static const float 
-half =  5.0000000000e-01, /* 0x3f000000 */
-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 */
-
-__int32_t __ieee754_rem_pio2f(float x, float *y)
-{
-	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;
-}
-
-
-/* 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.
- * ====================================================
- */
-
-
-static const float 
-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 */
-
-float __kernel_sinf(float x, float y, int iy) /* iy=0 if y is zero */
-{
-	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);
-}
-
-
-
-/* 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.
- * ====================================================
- */
-
-
-static const float 
-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 */
-
-float __kernel_cosf(float x, float y)
-{
-	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));
-	}
-}
-
-
-/* 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.
- * ====================================================
- */
-
-
-float sinf(float x)
-{
-	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]);
-	    }
-	}
-}
-
-
-/* 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.
- * ====================================================
- */
-
-
-float cosf(float x)
-{
-	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);
-	    }
-	}
-}
diff --git a/lib/libm/sf_cos.c b/lib/libm/sf_cos.c
new file mode 100644
index 000000000..5776ef46b
--- /dev/null
+++ b/lib/libm/sf_cos.c
@@ -0,0 +1,77 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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_sin.c b/lib/libm/sf_sin.c
new file mode 100644
index 000000000..585ab8d8c
--- /dev/null
+++ b/lib/libm/sf_sin.c
@@ -0,0 +1,71 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* 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/sf_tan.c b/lib/libm/sf_tan.c
new file mode 100644
index 000000000..a9296d8bf
--- /dev/null
+++ b/lib/libm/sf_tan.c
@@ -0,0 +1,66 @@
+/*
+ * This file is part of the Micro Python project, http://micropython.org/
+ *
+ * These math functions are taken from newlib-nano-2, the newlib/libm/math
+ * directory, available from https://github.com/32bitmicro/newlib-nano-2.
+ *
+ * Appropriate copyright headers are reproduced below.
+ */
+
+/* sf_tan.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.
+ * ====================================================
+ */
+
+#include "fdlibm.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 (!FLT_UWORD_IS_FINITE(ix)) 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 */
+	}
+}
+
+#ifdef _DOUBLE_IS_32BITS
+
+#ifdef __STDC__
+	double tan(double x)
+#else
+	double tan(x)
+	double x;
+#endif
+{
+	return (double) tanf((float) x);
+}
+
+#endif /* defined(_DOUBLE_IS_32BITS) */
diff --git a/stmhal/Makefile b/stmhal/Makefile
index 367cebd15..9c2c23c0c 100644
--- a/stmhal/Makefile
+++ b/stmhal/Makefile
@@ -63,12 +63,23 @@ endif
 
 SRC_LIB = $(addprefix lib/,\
 	libm/math.c \
-	libm/mathsincos.c \
 	libm/asinfacosf.c \
 	libm/atanf.c \
 	libm/atan2f.c \
 	libm/fmodf.c \
 	libm/roundf.c \
+	libm/log1pf.c \
+	libm/acoshf.c \
+	libm/asinhf.c \
+	libm/atanhf.c \
+	libm/kf_rem_pio2.c \
+	libm/kf_sin.c \
+	libm/kf_cos.c \
+	libm/kf_tan.c \
+	libm/ef_rem_pio2.c \
+	libm/sf_sin.c \
+	libm/sf_cos.c \
+	libm/sf_tan.c \
 	)
 
 SRC_C = \
diff --git a/tests/float/math_fun.py b/tests/float/math_fun.py
index fa111e33e..7e5001ad0 100644
--- a/tests/float/math_fun.py
+++ b/tests/float/math_fun.py
@@ -8,18 +8,19 @@ except ImportError:
     sys.exit()
 
 test_values = [-100., -1.23456, -1, -0.5, 0.0, 0.5, 1.23456, 100.]
+test_values_small = [-10., -1.23456, -1, -0.5, 0.0, 0.5, 1.23456, 10.] # so we don't overflow 32-bit precision
 p_test_values = [0.1, 0.5, 1.23456]
 unit_range_test_values = [-1., -0.75, -0.5, -0.25, 0., 0.25, 0.5, 0.75, 1.]
 
 functions = [('sqrt', sqrt, p_test_values),
-             ('exp', exp, test_values),
-             ('expm1', expm1, test_values),
+             ('exp', exp, test_values_small),
+             ('expm1', expm1, test_values_small),
              ('log', log, p_test_values),
              ('log2', log2, p_test_values),
              ('log10', log10, p_test_values),
-             ('cosh', cosh, test_values),
-             ('sinh', sinh, test_values),
-             ('tanh', tanh, test_values),
+             ('cosh', cosh, test_values_small),
+             ('sinh', sinh, test_values_small),
+             ('tanh', tanh, test_values_small),
              ('acosh', acosh, [1.0, 5.0, 1.0]),
              ('asinh', asinh, test_values),
              ('atanh', atanh, [-0.99, -0.5, 0.0, 0.5, 0.99]),
@@ -39,7 +40,7 @@ functions = [('sqrt', sqrt, p_test_values),
 for function_name, function, test_vals in functions:
     print(function_name)
     for value in test_vals:
-        print("{:.7g}".format(function(value)))
+        print("{:.5g}".format(function(value)))
 
 binary_functions = [('copysign', copysign, [(23., 42.), (-23., 42.), (23., -42.),
                                 (-23., -42.), (1., 0.0), (1., -0.0)])